541
PREDIMENSIONADO D C - 20 C - 21 C - 22 C - 16 C - 12 C - 8 C - 4 C - 1 C - 23 C - 17 C - 13 C - 9 C - 5 C - 18 C - 14 C - 10 C - 6 C - 2 C - 19 C - 15 C - 11 C - 7 C - 3 I II III IV V VI VII VII IX X XI

cortante deVIGAS 01.xlsx

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Page 1: cortante deVIGAS 01.xlsx

PREDIMENSIONADO DE COLUMNAS

Se escogerá una columna interior, perimetral y en esquina que tengan la mayor área tributaria

P= Carga total que soporta la columna

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 2: cortante deVIGAS 01.xlsx

Nº= Número de pisosn=Valor que depende del tipo de columnasf´c= Resistencia del concreto a la compresión simple

PREDIMENCIONAMIENTO DE COLUMNAS

METRADO DE CARGASColumna esquinada C-1

Aligerado(e=0. 350 kg/m2Vigas 100 kg/m2 Area tributaria = Lx*LyColumnas 60 kg/m2 Lx= 3.07 mAcabados 100 kg/m2 Ly = 2.3 mTab Equival 150 kg/m2Azotea 100 kg/m2 Pg = W*At 7472.47 kg/piso

P= 1,50PgWD = 860.000 kg/m2 n = 0.2WL = 200 kg/m2 f'c = 210 kg/cm2

Wt = 1060.000 kg/m2 b*t =P/(f'c*n)

# pisos 2Pg 11208.705 Kg/piso

P g= 22417.41 Kg

b*t 533.7478571condicion b=t

86.3619048 t = 23.10298373 cm9.29311061

25 Usarb= 0.25 m

t = 0.25 mColumna externa C-2

Area tributaria = Lx*LyLx = 4.88 mLy = 2.3 m

Pg = W*At 11897.44 kg/pisoP= 1,25Pgn = 0.25f'c = 210 kg/cm2b*t =P/(f'c*n)

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Page 3: cortante deVIGAS 01.xlsx

# pisos 2P = 14871.8 Kg/pisoP = 29743.6 Kg

b*t 566.5447619condicion b=t

t = 23.80220078 cm

Usarb= 0.25 m

t = 0.25 mColumna externa C-11

Area tributaria = Lx*LyLx = 1.81 mLy = 3.2 m

Pg = W*At 6139.52 kg/pisoP= 1,25Pgn = 0.25f'c = 210 kg/cm2b*t =P/(f'c*n)

# pisos 2P = 7674.4 Kg/pisoP = 15348.8 Kg

b*t 292.3580952condicion b=t

t = 17.09848225 cm

Usarb= 0.25 m

t = 0.25 mColumna externa C-19

Area tributaria = Lx*LyLx = 1.81 mLy = 4.38 m

Pg = W*At 8403.47 kg/pisoP= 1,25Pgn = 0.25f'c = 210 kg/cm2b*t =P/(f'c*n)

Page 4: cortante deVIGAS 01.xlsx

# pisos 2P = 10504.335 Kg/pisoP = 21008.67 Kg

b*t 400.1651429condicion b=t

t = 20.00412815 cm

Usarb= 0.25 m

t = 0.25 mColumna Interna C-5

Area tributaria = Lx*LyLx= 3.07 mL y= 4.18 m

Pg = W*At 13602.56 kg/pisoP= 1,10Pgn = 0.3f'c = 210 kg/cm2b*t =P/(f'c*n)

# pisos 2P = 14962.8116 Kg/pisoP = 29925.6232 Kg

b*t 475.0098921condicion b=t

t = 21.79472166 cm

Usarb= 0.25 m

t = 0.25 mColumna Interna C-13

Area tributaria = Lx*LyLx= 3.07 mL y= 1.81 m

Pg = W*At 5890.10 kg/pisoP= 1,10Pgn = 0.3f'c = 210 kg/cm2b*t =P/(f'c*n)

Page 5: cortante deVIGAS 01.xlsx

# pisos 2P = 6479.1122 Kg/pisoP = 12958.2244 Kg

b*t 205.6861016condicion b=t

t = 14.34176076 cm

Usarb= 0.25 m

t = 0.25 m

Page 6: cortante deVIGAS 01.xlsx

Lx = 1.59mLy = 2.54m

L col = 2.60m

PREDIMENSIONADO DE COLUMNAS

Se escogerá una columna interior, perimetral y en esquina que tengan la mayor área tributaria

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 7: cortante deVIGAS 01.xlsx

f´c= Resistencia del concreto a la compresión simple

PREDIMENCIONAMIENTO DE COLUMNAS

Columna esquinada C-3 Columna esquinada C-20 Columna esquinada C-23

Area tributaria = Lx*Ly Area tributaria = Lx*Ly Area tributaria = Lx*LyLx= 1.81 m Lx= 1.53 m Lx= 1.82Ly = 2.3 m Ly = 2.48 m Ly = 2.48

Pg = W*At 4412.78 kg/piso Pg = W*At 4022.06 kg/piso Pg = W*At 4784.42P= 1,50Pg P= 1,50Pg P= 1,50Pgn = 0.2 n = 0.2 n = 0.2f'c = 210 kg/cm2 f'c = 210 kg/cm2 f'c = 210

b*t =P/(f'c*n) b*t =P/(f'c*n) b*t =P/(f'c*n)

# pisos 2 # pisos 2 # pisos 2P = 6619.17 Kg/piso P = 6033.096 Kg/piso P = 7176.624P = 13238.34 Kg P = 12066.192 Kg P = 14353.248

b*t 315.1985714 b*t 287.2902857 b*t 341.744condicion b=t condicion b=t condicion b=t

t = 17.75383258 cm t = 16.94963969 cm t = 18.48631927

Usar Usar Usarb= 0.25 m b= 0.25 m b= 0.25

t = 0.25 m t = 0.25 m t = 0.25Columna externa C-4 Columna externa C-7 Columna externa C-8

Area tributaria = Lx*Ly Area tributaria = Lx*Ly Area tributaria = Lx*LyLx = 1.53 m Lx = 1.81 m Lx = 1.53Ly = 4.18 m Ly = 4.18 m Ly = 3.2

Pg = W*At 6779.12 kg/piso Pg = W*At 8019.75 kg/piso Pg = W*At 5189.76P= 1,25Pg P= 1,25Pg P= 1,25Pgn = 0.25 n = 0.25 n = 0.25f'c = 210 kg/cm2 f'c = 210 kg/cm2 f'c = 210b*t =P/(f'c*n) b*t =P/(f'c*n) b*t =P/(f'c*n)

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Page 8: cortante deVIGAS 01.xlsx

# pisos 2 # pisos 2 # pisos 2P = 8473.905 Kg/piso P = 10024.685 Kg/piso P = 6487.2P = 16947.81 Kg P = 20049.37 Kg P = 12974.4

b*t 322.8154286 b*t 381.8927619 b*t 247.1314286condicion b=t condicion b=t condicion b=t

t = 17.96706511 cm t = 19.5420767 cm t = 15.72041439

Usar Usar Usarb= 0.25 m b= 0.25 m b= 0.25

t = 0.25 m t = 0.25 m t = 0.25Columna externa C-12 Columna externa C-15 Columna externa C-16

Area tributaria = Lx*Ly Area tributaria = Lx*Ly Area tributaria = Lx*LyLx = 1.53 m Lx = 1.81 m Lx = 1.53Ly = 3.22 m Ly = 3.22 m Ly = 4.38

Pg = W*At 5222.20 kg/piso Pg = W*At 6177.89 kg/piso Pg = W*At 7103.48P= 1,25Pg P= 1,25Pg P= 1,25Pgn = 0.25 n = 0.25 n = 0.25f'c = 210 kg/cm2 f'c = 210 kg/cm2 f'c = 210b*t =P/(f'c*n) b*t =P/(f'c*n) b*t =P/(f'c*n)

# pisos 2 # pisos 2 # pisos 2P = 6527.745 Kg/piso P = 7722.365 Kg/piso P = 8879.355P = 13055.49 Kg P = 15444.73 Kg P = 17758.71

b*t 248.676 b*t 294.1853333 b*t 338.2611429condicion b=t condicion b=t condicion b=t

t = 15.76946416 cm t = 17.15183178 cm t = 18.39187709

Usar Usar Usarb= 0.25 m b= 0.25 m b= 0.25

t = 0.25 m t = 0.25 m t = 0.25

Page 9: cortante deVIGAS 01.xlsx

Columna Interna C-6 Columna Interna C-9 Columna Interna C-10

Area tributaria = Lx*Ly Area tributaria = Lx*Ly Area tributaria = Lx*LyLx= 3.35 m Lx= 3.07 m Lx= 3.35L y= 4.18 m L y= 1.81 m L y= 1.81

Pg = W*At 14843.18 kg/piso Pg = W*At 5890.10 kg/piso Pg = W*At 0.00P= 1,10Pg P= 1,10Pg P= 1,10Pgn = 0.3 n = 0.3 n = 0.3f'c = 210 kg/cm2 f'c = 210 kg/cm2 f'c = 210b*t =P/(f'c*n) b*t =P/(f'c*n) b*t =P/(f'c*n)

# pisos 2 # pisos 2 # pisos 2P = 16327.498 Kg/piso P = 6479.1122 Kg/piso P = 0P = 32654.996 Kg P = 12958.2244 Kg P = 0

b*t 518.3332698 b*t 205.6861016 b*t 0condicion b=t condicion b=t condicion b=t

t = 22.76693369 cm t = 14.34176076 cm t = 0

Usar Usar Usarb= 0.25 m b= 0.25 m b= 0.25

t = 0.25 m t = 0.25 m t = 0.25Columna Interna C-14 Columna Interna C-17 Columna Interna C-18

Area tributaria = Lx*Ly Area tributaria = Lx*Ly Area tributaria = Lx*LyLx= 3.35 m Lx= 3.07 m Lx= 3.35L y= 1.81 m L y= 1.81 m L y= 1.81

Pg = W*At 6427.31 kg/piso Pg = W*At 0.00 kg/piso Pg = W*At 0.00P= 1,10Pg P= 1,10Pg P= 1,10Pgn = 0.3 n = 0.3 n = 0.3f'c = 210 kg/cm2 f'c = 210 kg/cm2 f'c = 210b*t =P/(f'c*n) b*t =P/(f'c*n) b*t =P/(f'c*n)

Page 10: cortante deVIGAS 01.xlsx

# pisos 2 # pisos 2 # pisos 2P = 7070.041 Kg/piso P = 0 Kg/piso P = 0P = 14140.082 Kg P = 0 Kg P = 0

b*t 224.445746 b*t 0 b*t 0condicion b=t condicion b=t condicion b=t

t = 14.98151348 cm t = 0 cm t = 0

Usar Usar Usarb= 0.25 m b= 0.25 m b= 0.25

t = 0.25 m t = 0.25 m t = 0.25

Page 11: cortante deVIGAS 01.xlsx

PREDIMENCIONAMIENTO DE COLUMNAS

Columna esquinada C-23

mm

kg/piso

kg/cm2

Kg/pisoKg

cm

m

mColumna externa C-8

mm

kg/piso

kg/cm2

Page 12: cortante deVIGAS 01.xlsx

Kg/pisoKg

cm

m

mColumna externa C-16

mm

kg/piso

kg/cm2

Kg/pisoKg

cm

m

m

Page 13: cortante deVIGAS 01.xlsx

Columna Interna C-10

mm

kg/piso

kg/cm2

Kg/pisoKg

cm

m

mColumna Interna C-18

mm

kg/piso

kg/cm2

Page 14: cortante deVIGAS 01.xlsx

Kg/pisoKg

cm

m

m

Page 15: cortante deVIGAS 01.xlsx

PREDIMENSIONADO DE LA LOSA

En losas aligeradas continuas conformadas por viguetas de 10 cm de ancho, bloques de ladrillo de 30 cm. de ancho y losa superior de 5 cm, con sobrecarga menor a 300 kg/m2 y luces menores a 7.5 m se cumple que:

h > = L / 25

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 16: cortante deVIGAS 01.xlsx

Peralte (h) Ln/25

Luz Libre (Ln) 4.6 b x h = 0.20 X

h 0.184

usar 0.20 m

DATOS:

Lnx= 5.88

Lny= 4.70

EJE X-X: (PRINCIPALES)

peralte (h) Lnx/14

h 0.42 b x h = 0.25 X

usar 0.45 m

ANCHO "b"

usar 0.25 m

EJE Y-Y:(SECUNDARIAS)

peralte (h) Lny/14

h 0.34 b x h = 0.25 X

usar 0.35 m

ANCHO "b"

usar 0.25 m

PREDIMENSIONAMIENTO DE VIGAS

b ≥ 0.25 ó b ≥ 0.30 h

b ≥ 0.25 ó b ≥ 0.30 h

Page 17: cortante deVIGAS 01.xlsx

PREDIMENSIONADO DE LA LOSA

En losas aligeradas continuas conformadas por viguetas de 10 cm de ancho, bloques de ladrillo de 30 cm. de ancho y losa superior de 5 cm, con sobrecarga menor a 300 kg/m2 y luces menores a 7.5 m se cumple que:

h > = L / 25

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 18: cortante deVIGAS 01.xlsx

0.20

0.45

0.35

Page 19: cortante deVIGAS 01.xlsx

(EJE X - X)

(EJE Y - Y)

Page 20: cortante deVIGAS 01.xlsx

METRADO DE CARGA

DIMENSIONES

Viga Principales b = 0.25 m h = 0.45 mVigas Secundarias b = 0.25 m h = 0.35 mColumna: 0.25 m 0.25 m

PESO POR METRO CUADRADO

Peso Espec del º 2.40 T/m³ Acabado 0.10 T/m²

Azotea S/C 0.10 T/m³ Tabiq Equivalente 0.12 T/m²

Vivienda S/C 0.20 T/m²

Aligarado (e=0.20 0.30 T/m² Ancho Tributario B

P. Esp. Muro de Al 1800 Kg/m³

Altura Entrepiso 2.60 m

Parapeto 1.00 m

1. PRIMER PISO

1.1. VIGAS PRNCIPALES

Eje Eje P. Propio Viga Peso Aligerado Peso Acabado

1A - C 5.88 m 2.30 m 0.27 T/m 0.61 T/m 0.23 T/m 2.30 m

C - D 3.38 m 2.30 m 0.27 T/m 0.61 T/m 0.23 T/m 0.00 m

Longuitud (m)luz

Ancho Tributario B (m)

Longitud muro (m)

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 21: cortante deVIGAS 01.xlsx

2

A - B 2.80 m 4.18 T/m 0.27 T/m 1.18 T/m 0.42 T/m 2.80 m

B - C 2.83 m 4.18 T/m 0.27 T/m 1.18 T/m 0.42 T/m 1.83 m

C - D 3.38 m 4.18 T/m 0.27 T/m 1.18 T/m 0.42 T/m 1.90 m

3

A - B 2.80 m 3.20 T/m 0.27 T/m 0.89 T/m 0.32 T/m 2.80 m

B - C 2.83 m 3.20 T/m 0.27 T/m 0.89 T/m 0.32 T/m 1.83 m

C - D 3.38 m 3.20 T/m 0.27 T/m 0.89 T/m 0.32 T/m 3.38 m

4

A - B 2.80 m 3.22 T/m 0.27 T/m 0.89 T/m 0.32 T/m 1.30 m

B - C 2.83 m 3.22 m 0.27 T/m 0.89 T/m 0.32 T/m 1.73 m

C - D 3.38 m 3.22 m 0.27 T/m 0.89 T/m 0.32 T/m 1.86 m

5

A - B 2.80 m 4.38 T/m 0.27 T/m 1.24 T/m 0.44 T/m 2.80 m

B - C 2.83 m 4.38 m 0.27 T/m 1.24 T/m 0.44 T/m 1.73 m

C - D 3.38 m 4.38 m 0.27 T/m 1.24 T/m 0.44 T/m 3.38 m

6

A - B 2.80 m 2.48 m 0.27 T/m 0.67 T/m 0.25 T/m 2.80 m

B - C 2.83 m 2.48 m 0.27 T/m 0.67 T/m 0.25 T/m 2.82 m

C - D 3.38 m 2.48 m 0.27 T/m 0.67 T/m 0.25 T/m 3.37 m

Para las vigas secundarias ya no se considera la carga viva, solo la carga muerta, por lo tanto no habra combinacion de carga

1.2. VIGAS SECUNDARIAS

Eje Eje Longuitud (m) P. Propio Viga Peso de Muro Carga Viva (Wv)

A

1 - 2 4.35 m 0.21 T/m 4.35 m 0.70 T/m 0.91 T/m no

2 - 3 3.50 m 0.21 T/m 3.50 m 0.70 T/m 0.91 T/m no

3 - 4 2.40 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

4 - 5 3.55 m 0.21 T/m 3.55 m 0.70 T/m 0.91 T/m no

5 - 6 4.70 m 0.21 T/m 4.70 m 0.70 T/m 0.91 T/m no

B

1 - 2 4.35 m 0.21 T/m 3.45 m 0.56 T/m 0.77 T/m no

2 - 3 3.50 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

3 - 4 2.40 m 0.21 T/m 2.40 m 0.70 T/m 0.91 T/m no

4 - 5 3.55 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

5 - 6 4.70 m 0.21 T/m 3.90 m 0.58 T/m 0.79 T/m no

C

1 - 2 4.35 m 0.21 T/m 4.35 m 0.70 T/m 0.91 T/m no

2 - 3 3.50 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

3 - 4 2.40 m 0.21 T/m 2.40 m 0.70 T/m 0.91 T/m no

4 - 5 3.55 m 0.21 T/m 2.65 m 0.52 T/m 0.73 T/m no

5 - 6 4.70 m 0.21 T/m 3.90 m 0.58 T/m 0.79 T/m no

D

1 - 2 4.35 m 0.21 T/m 4.35 m 0.70 T/m 0.91 T/m no

2 - 3 3.50 m 0.21 T/m 3.50 m 0.70 T/m 0.91 T/m no

3 - 4 2.40 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

4 - 5 3.55 m 0.21 T/m 3.55 m 0.70 T/m 0.91 T/m no

5 - 6 4.70 m 0.21 T/m 4.70 m 0.70 T/m 0.91 T/m no

3. SEGUNDO PISO

3.1. VIGAS PRNCIPALES

Longitud muro (m)

Carga Muerta (Wm)

Page 22: cortante deVIGAS 01.xlsx

Eje Eje Longuitud (m) P. Propio Viga Peso Aligerado Peso Acabado

1A - C 5.88 m 2.30 m 0.27 0.61 T/m 0.23 T/m 5.88 m

C - D 3.38 m 2.30 m 0.27 0.61 T/m 0.23 T/m 3.38 m

2

A - B 2.80 m 4.18 T/m 0.27 1.18 T/m 0.42 T/m 0.00 m

B - C 2.83 m 4.18 T/m 0.27 1.18 T/m 0.42 T/m 0.00 m

C - D 3.38 m 4.18 T/m 0.27 1.18 T/m 0.42 T/m 0.00 m

3

A - B 2.80 m 3.20 T/m 0.27 0.89 T/m 0.32 T/m 0.00 m

B - C 2.83 m 3.20 T/m 0.27 0.89 T/m 0.32 T/m 0.00 m

C - D 3.38 m 3.20 T/m 0.27 0.89 T/m 0.32 T/m 0.00 m

4

A - B 2.80 m 3.22 T/m 0.27 0.89 T/m 0.32 T/m 0.00 m

B - C 2.83 m 3.22 m 0.27 0.89 T/m 0.32 T/m 0.00 m

C - D 3.38 m 3.22 m 0.27 0.89 T/m 0.32 T/m 0.00 m

5

A - B 2.80 m 4.38 T/m 0.27 1.24 T/m 0.44 T/m 0.00 m

B - C 2.83 m 4.38 m 0.27 1.24 T/m 0.44 T/m 0.00 m

C - D 3.38 m 4.38 m 0.27 1.24 T/m 0.44 T/m 0.00 m

6

A - B 2.80 m 2.48 m 0.27 0.67 T/m 0.25 T/m 2.80 m

B - C 2.83 m 2.48 m 0.27 0.67 T/m 0.25 T/m 2.83 m

C - D 3.38 m 2.48 m 0.27 0.67 T/m 0.25 T/m 3.38 m

Para las vigas secundarias ya no se considera la carga viva, solo la carga muerta, por lo tanto no habra combinacion de carga

2.2. VIGAS SECUNDARIAS

Eje Eje Longuitud (m) P. Propio Viga Carga Viva (Wv)

A

2 - 3 2.90 m 0.21 T/m 4.35 m 0.00 T/m 0.21 T/m no

3 - 4 2.65 m 0.21 T/m 3.50 m 0.00 T/m 0.21 T/m no

4 - 5 2.20 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

5 - 6 3.48 m 0.21 T/m 3.55 m 0.00 T/m 0.21 T/m no

6 - 7 3.12 m 0.21 T/m 4.70 m 0.00 T/m 0.21 T/m no

B

2 - 3 2.90 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

3 - 4 2.65 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

4 - 5 2.20 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

5 - 6 3.48 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

6 - 7 3.12 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

C

2 - 3 2.90 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

3 - 4 2.65 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

4 - 5 2.20 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

5 - 6 3.48 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

6 - 7 3.12 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

D

2 - 3 2.90 m 0.21 T/m 4.35 m 0.00 T/m 0.21 T/m no

3 - 4 2.65 m 0.21 T/m 3.50 m 0.00 T/m 0.21 T/m no

4 - 5 2.20 m 0.21 T/m 0.00 m 0.00 T/m 0.21 T/m no

5 - 6 3.48 m 0.21 T/m 355.00 m 0.00 T/m 0.21 T/m no

6 - 7 3.12 m 0.21 T/m 4.70 m 0.00 T/m 0.21 T/m no

Ancho Tributario B (m)

Longitud muro (m)

Longitud muro (m)

Peso de Parapeto

Carga Muerta (Wm)

Page 23: cortante deVIGAS 01.xlsx

Carga Ubicada en 2º Piso

Peso de Muro Peso Tabiqueria Carga Viva (Wv) 1.4 * Wm 1.7 * Wv

0.27 T/m 0.25 T/m 1.636 T/m 0.410 T/m 2.29 T/m 0.70 T/m 2.99 T/m

0.00 T/m 0.25 T/m 1.361 T/m 0.410 T/m 1.91 T/m 0.70 T/m 2.60 T/m

Carga Muerta (Wm)

Wu = 1.4 (Wm) + 1.7 (Wv)

C - 20 C - 21 C - 22

C - 16

C - 12

C - 8

C - 4

C - 1

C - 23

C - 17

C - 13

C - 9

C - 5

C - 18

C - 14

C - 10

C - 6

C - 2

C - 19

C - 15

C - 11

C - 7

C - 3

I II

III IV V

VI

VII VII IX

X XI

Page 24: cortante deVIGAS 01.xlsx

0.70 T/m 0.47 T/m 3.041 T/m 0.786 T/m 4.26 T/m 1.34 T/m 5.59 T/m

0.45 T/m 0.47 T/m 2.793 T/m 0.786 T/m 3.91 T/m 1.34 T/m 5.25 T/m

0.39 T/m 0.47 T/m 2.733 T/m 0.786 T/m 3.83 T/m 1.34 T/m 5.16 T/m

0.70 T/m 0.35 T/m 2.531 T/m 0.590 T/m 3.54 T/m 1.00 T/m 4.55 T/m

0.45 T/m 0.35 T/m 2.283 T/m 0.590 T/m 3.20 T/m 1.00 T/m 4.20 T/m

0.70 T/m 0.35 T/m 2.531 T/m 0.590 T/m 3.54 T/m 1.00 T/m 4.55 T/m

0.33 T/m 0.36 T/m 2.165 T/m 0.594 T/m 3.03 T/m 1.01 T/m 4.04 T/m

0.43 T/m 0.36 T/m 2.269 T/m 0.594 T/m 3.18 T/m 1.01 T/m 4.19 T/m

0.39 T/m 0.36 T/m 2.226 T/m 0.594 T/m 3.12 T/m 1.01 T/m 4.13 T/m

0.70 T/m 0.50 T/m 3.145 T/m 0.826 T/m 4.40 T/m 1.40 T/m 5.81 T/m

0.43 T/m 0.50 T/m 2.872 T/m 0.826 T/m 4.02 T/m 1.40 T/m 5.42 T/m

0.70 T/m 0.50 T/m 3.145 T/m 0.826 T/m 4.40 T/m 1.40 T/m 5.81 T/m

0.70 T/m 0.27 T/m 2.157 T/m 0.446 T/m 3.02 T/m 0.76 T/m 3.78 T/m

0.70 T/m 0.27 T/m 2.154 T/m 0.446 T/m 3.02 T/m 0.76 T/m 3.77 T/m

0.70 T/m 0.27 T/m 2.155 T/m 0.446 T/m 3.02 T/m 0.76 T/m 3.77 T/m

Para las vigas secundarias ya no se considera la carga viva, solo la carga muerta, por lo tanto no habra combinacion de carga

Carga Ubicada en 2º Piso

1.4 * Wm 1.7 * Wv

1.28 T/m 0.00 T/m 1.28 T/m

1.28 T/m 0.00 T/m 1.28 T/m

0.29 T/m 0.00 T/m 0.29 T/m

1.28 T/m 0.00 T/m 1.28 T/m

1.28 T/m 0.00 T/m 1.28 T/m

1.07 T/m 0.00 T/m 1.07 T/m

0.29 T/m 0.00 T/m 0.29 T/m

1.28 T/m 0.00 T/m 1.28 T/m

0.29 T/m 0.00 T/m 0.29 T/m

1.11 T/m 0.00 T/m 1.11 T/m

1.28 T/m 0.00 T/m 1.28 T/m

0.29 T/m 0.00 T/m 0.29 T/m

1.28 T/m 0.00 T/m 1.28 T/m

1.03 T/m 0.00 T/m 1.03 T/m

1.11 T/m 0.00 T/m 1.11 T/m

1.28 T/m 0.00 T/m 1.28 T/m

1.28 T/m 0.00 T/m 1.28 T/m

0.29 T/m 0.00 T/m 0.29 T/m

1.28 T/m 0.00 T/m 1.28 T/m

1.28 T/m 0.00 T/m 1.28 T/m

Carga Ubicada en Azotea

Wu = 1.4 (Wm) + 1.7 (Wv)

Page 25: cortante deVIGAS 01.xlsx

Peso Parapeto Peso Tabiqueria Carga Viva (Wv) 1.4 * Wm 1.7 * Wv

0.27 T/m 0.25 T/m 1.63 T/m 0.21 T/m 2.28 T/m 0.35 T/m 2.63 T/m

0.27 T/m 0.25 T/m 1.63 T/m 0.21 T/m 2.28 T/m 0.35 T/m 2.63 T/m

0.00 T/m 0.47 T/m 2.34 T/m 0.39 T/m 3.27 T/m 0.67 T/m 3.94 T/m

0.00 T/m 0.47 T/m 2.34 T/m 0.39 T/m 3.27 T/m 0.67 T/m 3.94 T/m

0.00 T/m 0.47 T/m 2.34 T/m 0.39 T/m 3.27 T/m 0.67 T/m 3.94 T/m

0.00 T/m 0.35 T/m 1.83 T/m 0.30 T/m 2.56 T/m 0.50 T/m 3.06 T/m

0.00 T/m 0.35 T/m 1.83 T/m 0.30 T/m 2.56 T/m 0.50 T/m 3.06 T/m

0.00 T/m 0.35 T/m 1.83 T/m 0.30 T/m 2.56 T/m 0.50 T/m 3.06 T/m

0.00 T/m 0.36 T/m 1.84 T/m 0.30 T/m 2.58 T/m 0.50 T/m 3.08 T/m

0.00 T/m 0.36 T/m 1.84 T/m 0.30 T/m 2.58 T/m 0.50 T/m 3.08 T/m

0.00 T/m 0.36 T/m 1.84 T/m 0.30 T/m 2.58 T/m 0.50 T/m 3.08 T/m

0.00 T/m 0.50 T/m 2.44 T/m 0.41 T/m 3.42 T/m 0.70 T/m 4.12 T/m

0.00 T/m 0.50 T/m 2.44 T/m 0.41 T/m 3.42 T/m 0.70 T/m 4.12 T/m

0.00 T/m 0.50 T/m 2.44 T/m 0.41 T/m 3.42 T/m 0.70 T/m 4.12 T/m

0.27 T/m 0.27 T/m 1.72 T/m 0.22 T/m 2.41 T/m 0.38 T/m 2.79 T/m

0.27 T/m 0.27 T/m 1.72 T/m 0.22 T/m 2.41 T/m 0.38 T/m 2.79 T/m

0.27 T/m 0.27 T/m 1.72 T/m 0.22 T/m 2.41 T/m 0.38 T/m 2.79 T/m

Para las vigas secundarias ya no se considera la carga viva, solo la carga muerta, por lo tanto no habra combinacion de carga

Carga Ubicada en la Azotea

1.4 * Wm 1.7 * Wv

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

0.29 T/m 0.00 T/m 0.29 T/m

Carga Muerta (Wm)

Wu = 1.4 (Wm) + 1.7 (Wv)

Wu = 1.4 (Wm) + 1.7 (Wv)

Page 26: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 1 - 1

Carga Viva

Carga Muerta

ESTADO 1:CARGA MUERTA COMBINACION 1

0.352.28 T/m 2.28 T/m 2.28 T/m

2.63

2.60 m 2.60 m

0.702.29 T/m 1.91 T/m 2.29 T/m

2.993.75 m 3.75 m

6.13 3.63 6.13

ESTADO 2 : CARGA VIVA COMBINACION 2

0.35 2.28 T/m

2.60 m 2.60 m

0.70

0.70 2.29 T/m

2.993.75 m 3.75 m

6.13 3.63 6.13

ESTADO 3 : CARGA VIVA COMBINACION 3

0.70

0.70 2.28 T/m

2.98

2.60 m 2.60 m

Page 27: cortante deVIGAS 01.xlsx

0.35 2.29 T/m

3.75 m 3.75 m

6.13 3.63 6.13

Page 28: cortante deVIGAS 01.xlsx

COMBINACION 1

0.352.28 T/m

2.63

0.701.91 T/m

2.60

3.63

COMBINACION 2

0.352.28 T/m

2.63

1.91 T/m

3.63

COMBINACION 3

2.28 T/m

0.35

Page 29: cortante deVIGAS 01.xlsx

1.91 T/m

2.25

3.63

Page 30: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 -PORTICO 1

1ELEMENTOS b h INERCIAS Wu

VP 0.25 0.45 189843.75 2.6

VS 0.25 0.35 89322.92 4COLUMNA 0.25 0.25 32552.08

3.75

NUDO 1 I / L FD 7K1-2 309.70 0.7121

K1-4 125.2003 0.2879

Σ 434.8965 1.0000

ESTADO 1

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -8.24 Tn-m

NUDO 2 I / L FD M2-1 8.24 Tn-m

K2-1 309.70 0.3233 M2-3 -2.89 Tn-m

K2-3 522.9855 0.5460 M3-2 2.89 Tn-m

K2-5 125.2003 0.1307

Σ 957.8820 1.0000

NUDO 3 I / L FD

K3-2 522.9855 0.8068 2º 0.2879 0.7121K3-6 125.2003 0.1932 -8.2416

Σ 648.1859 1.0000 1.12232.0495 5.0697

NUDO 4 I / L FD 0.0326 -1.1023K4-1 125.2003 0.2400 0.3080 0.7618K4-5 309.6962 0.5936 -0.0022 -0.0847K4-7 86.8056 0.1664 0.0250 0.0619

Σ 521.7020 1.0000 -0.0012 -0.00540.0019 0.0047

NUDO 5 I / L FD -0.0002 -0.0009K5-2 125.2003 0.1198 0.0003 0.0008K5-4 309.6962 0.2964 0.0000 -0.0002K5-6 522.9855 0.5006 0.0001 0.0002K5-8 86.8056 0.0831 -0.0001

Σ 1044.6876 1.0000 3.5360 -3.5361

NUDO 6 I / L FD

K6-3 125.2003 0.1703 3.4948K6-5 522.9855 0.7116 0.0000K6-9 86.8056 0.1181 -0.0001

Σ 734.9914 1.0000 0.0002-0.00050.0010-0.00240.0125-0.0044

1

Page 31: cortante deVIGAS 01.xlsx

0.15400.06511.02482.2446

1º 0.1664 0.2400

1.5562

0.0452

-0.0030

-0.0017

-0.0003

-0.0001

1.5963

0.79827

4

Page 32: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 -PORTICO 1

2 32.63 2.63

25X25 25X25

25X45 5 62.99 2.60

25X25 25X25

8 96.13 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M4-5 -9.35 Tn-m

M5-4 9.35 Tn-m

M5-6 -2.86 Tn-m

M6-5 2.86 Tn-m

0.3233 0.1307 5º 0.54608.2416 -2.8900

2.5349 -1.0677-2.2046 -0.8912 -3.72290.3809 -0.5240 0.6670-0.1694 -0.0685 -0.28600.0309 -0.0549 0.0575-0.0108 -0.0044 -0.01830.0024 -0.0010 0.0040-0.0017 -0.0007 -0.00290.0004 0.0004 0.0007-0.0005 -0.0002 -0.00080.0001 0.0001 0.0002-0.0001 0.0000 -0.00028.8040 -1.5444 -7.2595

-1.64130.00000.00000.0002-0.00010.0008-0.0003-0.0021

2

Page 33: cortante deVIGAS 01.xlsx

-0.0022-0.1098-0.0342-1.0480-0.4456 6º

0.5936 0.2964 0.1198 0.0831 0.5006-9.3530 9.3530 -2.85765.5522 2.7761 -0.0813-1.2961 -2.5923 -0.7266 -4.37760.1611 0.0805 0.8697-0.1358 -0.2715 -0.0761 -0.4586-0.0108 -0.0054 0.0248-0.0025 -0.0051 -0.0014 -0.0086-0.0059 -0.0030 -0.00340.0010 0.0020 0.0006 0.0033-0.0012 -0.0006 -0.00090.0002 0.0005 0.0001 0.0008-0.0002 -0.0001 -0.00020.0001 0.0001 0.0000 0.0002-5.0910 9.3342 -0.8034 -6.8895

-0.40178

5

Page 34: cortante deVIGAS 01.xlsx

ELEMENTOS b hVP 0.25 0.45VS 0.25 0.35

COLUMNA 0.25 0.25

NUDO 1 I / L FD

K1-2 309.70 0.7121

K1-4 125.2003 0.2879

Σ 434.8965 1.0000

NUDO 2 I / L FD

K2-1 309.70 0.3233

K2-3 522.9855 0.5460

K2-5 125.2003 0.1307

Σ 957.8820 1.0000

NUDO 3 I / L FD

0.8068 0.1932 4º K3-2 522.9855 0.8068

2.8900 K3-6 125.2003 0.1932

-0.2434 Σ 648.1859 1.0000

-2.1354 -0.5112-1.8614 0.2082 NUDO 4 I / L FD

1.3339 0.3193 K4-1 125.2003 0.2400

-0.1430 0.0005 K4-5 309.6962 0.5936

0.1150 0.0275 K4-7 86.8056 0.1664

-0.0092 -0.0008 Σ 521.7020 1.0000

0.0080 0.0019-0.0015 -0.0002 NUDO 5 I / L FD

0.0014 0.0003 K5-2 125.2003 0.1198

-0.0004 0.0000 K5-4 309.6962 0.2964

0.0004 0.0001 K5-6 522.9855 0.5006

-0.0001 K5-8 86.8056 0.0831

0.1977 -0.1978 Σ 1044.6876 1.0000

NUDO 6 I / L FD

K6-3 125.2003 0.1703

-0.1417 K6-5 522.9855 0.7116

0.0000 K6-9 86.8056 0.1181

-0.0001 Σ 734.9914 1.0000

0.0002-0.00040.0010-0.00160.0138

3

Page 35: cortante deVIGAS 01.xlsx

0.01190.15970.4164-0.2556-0.4868

0.7116 0.1703 0.1181 3º2.8576-2.0334 -0.3375-2.18881.7393 0.2887-0.22930.0495 0.0082-0.0043-0.0067 -0.00110.0017-0.0019 -0.00030.0004-0.0004 -0.00010.00010.1839 -0.0421

-0.0210 9

6

Page 36: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2 -PORTICO 1

1 2 3INERCIAS Wu 2.28 2.63

189843.75 2.6 25X25 25X25

89322.92 4 25X45 5 632552.08 2.99 1.91

3.75 25X25 25X25

7 8 96.13 3.63

ESTADO 2

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -7.1503 Tn-m M4-5 -9.3530 Tn-m

M2-1 7.1503 Tn-m M5-4 9.3530 Tn-m

M2-3 -2.8900 Tn-m M5-6 -2.0923 Tn-m

M3-2 2.8900 Tn-m M6-5 2.0923 Tn-m

2º 0.2879 0.7121 0.3233 0.1307-7.1503 7.1503

1.12231.7354 4.2926 2.14630.0672 -0.8588 -1.7176 -0.69440.2279 0.5637 0.2819 -0.57710.0060 -0.0320 -0.0640 -0.02590.0075 0.0186 0.0093 -0.06620.0009 0.0057 0.0115 0.0046-0.0019 -0.0047 -0.0023 -0.00440.0002 0.0018 0.0036 0.0015-0.0006 -0.0015 -0.0007 -0.00050.0001 0.0004 0.0008 0.0003-0.0001 -0.0003 -0.0002 -0.0001

0.0001 0.0002 0.00013.1647 -3.1646 7.8189 -1.3619

3.3772-0.0001 -1.65330.0001 -0.0001-0.0003 0.00000.0005 -0.0002-0.0009 0.00020.0017 -0.00090.0038 0.00070.0119 -0.0088

1 2

Page 37: cortante deVIGAS 01.xlsx

0.1140 0.00230.1343 -0.13230.8677 -0.01292.2446 -1.1541

-0.3472

1º 0.1664 0.2400 0.5936 0.2964 0.1198-9.3530 9.3530

1.5562 5.5522 2.7761-1.4274 -2.8548

0.0931 0.3323 0.1661-0.1636 -0.3273

0.0083 0.0295 0.0147-0.0109 -0.0217

0.0012 0.0042 0.0021-0.0011 -0.0022

0.0003 0.0012 0.0006-0.0003 -0.0005

0.0001 0.0003 0.0002-0.0001 -0.0001

1.6593 -5.0366 9.1061

0.82967 8

54

Page 38: cortante deVIGAS 01.xlsx

5º 0.5460 0.8068 0.1932 4º-2.8900 2.8900

-0.1782-1.0940 -2.1880 -0.5238-2.9005 -1.4503 0.22760.4932 0.9865 0.2362-0.1081 -0.0541 0.00110.0214 0.0428 0.01020.0194 0.0097 0.0011-0.0044 -0.0087 -0.00210.0061 0.0030 0.0003-0.0013 -0.0026 -0.00060.0014 0.0007 0.0001-0.0003 -0.0006 -0.00010.0003 0.0002-6.4569 0.2285 -0.2283

-0.0115-0.00010.0001-0.00030.0005-0.00100.00230.0051

23

Page 39: cortante deVIGAS 01.xlsx

0.02700.11810.4552-0.2619

6º -0.3564

0.0831 0.5006 0.7116 0.1703 0.1181 3º-2.0923 2.0923-0.0596 -1.4888 -0.2471

-0.8002 -4.8209 -2.41050.9508 1.9015 0.3156

-0.0917 -0.5527 -0.27630.0563 0.1126 0.0187

-0.0061 -0.0367 -0.01840.0047 0.0094 0.0016

-0.0006 -0.0038 -0.00190.0010 0.0021 0.0003

-0.0002 -0.0009 -0.00050.0003 0.0006 0.0001

0.0000 -0.0002 -0.0001-0.8988 -6.5540 -0.0779 0.0892

-0.4494 0.04468 9

65

Page 40: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3 -PORTICO 1

1ELEMENTOS b h INERCIAS Wu 2.98

VP 0.25 0.45 189843.75 2.6

VS 0.25 0.35 89322.92 4 25X45

COLUMNA 0.25 0.25 32552.08 2.29

3.75

NUDO 1 I / L FD 7K1-2 309.70 0.7121 6.13K1-4 125.2003 0.2879

Σ 434.8965 1.0000

ESTADO 3

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -9.33 Tn-m M4-5

NUDO 2 I / L FD M2-1 9.33 Tn-m M5-4

K2-1 309.70 0.3233 M2-3 -2.51 Tn-m M5-6

K2-3 522.9855 0.5460 M3-2 2.51 Tn-m M6-5

K2-5 125.2003 0.1307

Σ 957.8820 1.0000

NUDO 3 I / L FD

K3-2 522.9855 0.8068 2º 0.2879 0.7121K3-6 125.2003 0.1932 -9.3328

Σ 648.1859 1.0000 0.86042.4391 6.0334

NUDO 4 I / L FD -0.0366 -1.4413K4-1 125.2003 0.2400 0.4255 1.0524K4-5 309.6962 0.5936 -0.0172 -0.1742K4-7 86.8056 0.1664 0.0551 0.1363

Σ 521.7020 1.0000 -0.0049 -0.02570.0088 0.0218

NUDO 5 I / L FD -0.0011 -0.0057K5-2 125.2003 0.1198 0.0020 0.0049K5-4 309.6962 0.2964 -0.0003 -0.0014K5-6 522.9855 0.5006 0.0005 0.0012K5-8 86.8056 0.0831 -0.0003

Σ 1044.6876 1.0000 3.7313 -3.7316

NUDO 6 I / L FD

K6-3 125.2003 0.1703 3.0661K6-5 522.9855 0.7116 0.0002K6-9 86.8056 0.1181 -0.0005

Σ 734.9914 1.0000 0.0010-0.00220.0044-0.00980.0276-0.0344

1

Page 41: cortante deVIGAS 01.xlsx

0.2127-0.07321.21951.7208

1º 0.1664 0.2400 0.5936-7.1704

1.1931 4.2565-0.9146

-0.0507 -0.1810-0.0693

-0.0239 -0.08510.0133

-0.0068 -0.02430.0048

-0.0015 -0.00550.0012

-0.0004 -0.00130.0003

1.1098 -4.1754

0.55497

4

Page 42: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3 -PORTICO 1

2 32.28

25X25 25X25

5 62.25

25X25 25X25

8 93.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-7.17 Tn-m

7.17 Tn-m

-2.47 Tn-m

2.47 Tn-m

0.3233 0.1307 5º 0.5460 0.80689.3328 -2.5073 2.5073

3.0167 -0.9265 -1.8530-2.8826 -1.1653 -4.8678 -2.43390.5262 -0.3698 0.9212 1.8424-0.3484 -0.1409 -0.5884 -0.29420.0682 -0.0280 0.1190 0.2379-0.0514 -0.0208 -0.0869 -0.04340.0109 0.0054 0.0193 0.0385-0.0115 -0.0046 -0.0194 -0.00970.0024 0.0020 0.0044 0.0087-0.0028 -0.0011 -0.0048 -0.00240.0006 0.0005 0.0011 0.0021-0.0007 -0.0003 -0.0012 -0.00069.6604 -1.7230 -7.9374 -0.0001

-1.4462 -0.11660.0002 0.0003-0.0001 -0.00050.0009 0.0010-0.0006 -0.00220.0039 0.0046-0.0023 -0.00870.0108 0.0285

23

Page 43: cortante deVIGAS 01.xlsx

-0.0104 -0.0176-0.0560 0.2205-0.0704 0.3009-0.7395 -0.2218-0.5827 6º -0.4216

0.2964 0.1198 0.0831 0.5006 0.7116 0.17037.1704 -2.4750 2.47502.1283 -0.0704 -1.7611-1.8293 -0.5127 -3.0891 -1.5445-0.0905 0.6284 1.2568-0.1386 -0.0388 -0.2340 -0.1170-0.0426 -0.0368 -0.07370.0266 0.0075 0.0450 0.0225-0.0121 -0.0181 -0.03630.0097 0.0027 0.0163 0.0082-0.0027 -0.0045 -0.00910.0023 0.0007 0.0039 0.0020-0.0006 -0.0011 -0.00210.0005 0.0002 0.0009 0.00057.2214 -0.5406 -5.2345 0.2211

-0.2703 -0.05198

65

Page 44: cortante deVIGAS 01.xlsx

0.1932 4º

-0.2108-0.44360.15040.4411-0.00070.0570-0.00430.0092-0.00110.0021-0.00030.0005

-0.0005

3

Page 45: cortante deVIGAS 01.xlsx

0.1181 3º

-0.2923

0.2086

-0.0122

-0.0060

-0.0015

-0.0004

-0.1038

9

6

Page 46: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 2 - 2

ESTADO 1: ESTADO PARA CARGA MUERTA ESTADO 1

3.27 T/m 3.27 T/m 3.27 T/m 0.67 T/m 0.67 T/m

3.27 T/m 3.27 T/m

3.94 T/m 3.94 T/m

2.60 m

2.64.26 T/m 3.91 T/m 3.83 T/m 1.34 T/m 1.34 T/m

4.26 T/m 3.91 T/m

3.75 m 5.59 T/m 5.25 T/m

3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 2: ESTADO PARA CARGA VIVA ESTADO 2

0.67 T/m 0.67 T/m

3.27 T/m 3.27 T/m

3.94 T/m

2.60 m

2.61.34 T/m 1.34 T/m 1.34 T/m

4.26 T/m 3.91 T/m

5.59 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 3: ESTADO PARA CARGA VIVA ESTADO 3

0.67 T/m 0.67 T/m 0.67 T/m

3.27 T/m 3.27 T/m

3.94 T/m

2.60 m

2.6

Page 47: cortante deVIGAS 01.xlsx

1.34 T/m 1.34 T/m

4.26 T/m 3.91 T/m

5.25 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 4: ESTADO PARA CARGA VIVA ESTADO 4

0.67 T/m 0.67 T/m 0.67 T/m

3.27 T/m 3.27 T/m

3.94 T/m

2.60 m

2.60 m

1.34 T/m 1.34 T/m 1.34 T/m 1.34 T/m

4.26 T/m 3.91 T/m

5.59 T/m 5.25 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 5: ESTADO PARA CARGA VIVA ESTADO 5

0.67 T/m 0.67 T/m 0.67 T/m 0.67 T/m

3.27 T/m 3.27 T/m

3.94 T/m 3.94 T/m

2.60 m

2.60 m

1.34 T/m 1.34 T/m 1.34 T/m

4.26 T/m 3.91 T/m

5.25 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

Page 48: cortante deVIGAS 01.xlsx

0.67 T/m

3.27 T/m

3.94 T/m

1.34 T/m

3.83 T/m

5.16 T/m

C D

3.63 m

ESTADO 2

3.27 T/m

1.34 T/m

3.83 T/m

5.16 T/m

C D3.63 m

ESTADO 3

0.67 T/m

3.27 T/m

3.94 T/m

Page 49: cortante deVIGAS 01.xlsx

3.83 T/m

C D3.63 m

ESTADO 4

0.67 T/m

3.27 T/m

3.94 T/m

3.83 T/m

C D3.63 m

ESTADO 5

3.27 T/m

1.34 T/m

3.83 T/m

5.16 T/m

C D3.63 m

Page 50: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 2

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 3.94

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

5.59

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 1 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -3.06 Tn-m

K2-1 622.44 0.3161 M2-1 3.06 Tn-m

K2-3 616.3758 0.3130 M2-3 -3.12 Tn-m

K2-6 730.1683 0.3708 M3-2 3.12 Tn-m

Σ 1968.9826 1.0000 M3-4 -4.33 Tn-m

M4-3 4.33 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.8516 -3.0560

K5-6 622.4385 0.3349 1.1900 1.0144

K5-9 506.2500 0.2723 -0.0963 -0.0706

Σ 1858.8568 1.0000 0.0901 0.0768

-0.0040 -0.0346

NUDO 6 I / L FD 0.0209 0.0178

K6-2 730.1683 0.2950 -0.0020 0.0098

K6-5 622.4385 0.2515 -0.0043 -0.0036

K6-7 616.3758 0.2490 0.0003 0.0005

K6-10 506.2500 0.2045 -0.0004 -0.0004

Σ 2475.2326 1.0000 0.0000 -0.0002

0.0001 0.0001

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 2.0460 -2.0460

1

Page 51: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 2.1474

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 0.0000

0.0001

-0.0002

0.0006

-0.0021

-0.0039

0.0104

-0.0081

0.0451

-0.1926

0.5950

1.7031

0.2723 0.3928

0.3349

-4.3358

1.1808 1.4518

-0.1046

-0.1336 -0.1642

-0.0245

-0.0056 -0.0069

-0.0005

-0.0027 -0.0033

0.0005

0.0004 0.0005

0.0000

0.0001 0.0001

0.0000

0.0000 0.0000

0.0000

1.0394 -3.1868

0.5197

0.0000

0.0000

0.0002

-0.0014

-0.0028

-0.0668

0.5904

5

9

H70
REQUE: 1° Nudo en ser equilibrado.
Page 52: cortante deVIGAS 01.xlsx

9

Page 53: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 2

2 3 43.94 3.94

6 7 85.25 5.16

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -4.34 Tn-m

M6-5 4.34 Tn-m

M6-7 -4.15 Tn-m

M7-6 4.15 Tn-m

M7-8 -5.67 Tn-m

M8-7 5.67 Tn-m

COMBINACION 1 - DEARROLLO DEL CROSS

0.3161 0.3130 0.3297

3.0560 0.3708 -3.1164 3.1164 0.3906

0.5072

-0.1412 -0.1657 -0.1399 -0.0699

0.0384 -0.1227 0.3035 0.6070 0.719006041

-0.0693 -0.0813 -0.0686 -0.0343 0.3764

0.0089 -0.0288 -0.0424 -0.0848 -0.1005

0.0197 0.0231 0.0195 0.0097 -0.0049

-0.0018 -0.0006 -0.0008 -0.0016 -0.0019

0.0010 0.0012 0.0010 0.0005 -0.0037

-0.0002 0.0006 0.0005 0.0011 0.0012

-0.0003 -0.0004 -0.0003 -0.0001 -0.0003

0.0000 0.0000 0.0001 0.0002 0.0002

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

2 3

K28
REQUE: Empezamos por el nudo 2.
K33
REQUE: 5°
O33
REQUE: 6°
Page 54: cortante deVIGAS 01.xlsx

3.4183 -0.3745 -3.0438 0.0000

3.5440 0.9855

-0.4143 -4.0924 4.6395

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

-0.0002 -0.0002 -0.0004

0.0012 0.0010 0.0005

0.0006 -0.0031 -0.0062

-0.0012 -0.0010 -0.0005

0.0115 -0.0041 -0.0083

-0.0575 -0.0485 -0.0243

-0.0406 0.3177 0.6354

-0.2454 -0.2072 -0.1036

-0.0828 -4.1469 4.1469

0.2950 0.2490 0.2594

0.2515 0.2045 0.2131

4.3358

0.7259

-0.2092 -0.1701

-0.0821 0.5219

-0.0490 -0.0399

-0.0034 -0.0068

-0.0010 -0.0008

-0.0017 -0.0051

0.0011 0.0009

0.0003 -0.0004

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

4.7167 -0.2099 0.0000

0.5095

-0.1050 0.2548

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0004 -0.0002

-0.0004 -0.0026

-0.0199 -0.0034

-0.0851 0.2609

6

1110

K70
REQUE: 7°
Page 55: cortante deVIGAS 01.xlsx

1110

Page 56: cortante deVIGAS 01.xlsx

ELEMENTOS

VP

VS

COLUMNA

NUDO 1

K1-2

K1-5

Σ

NUDO 2

K2-1

K2-3

K2-6

Σ

NUDO 3

K3-2

K3-4

K3-7

Σ

NUDO 4

K4-3

K4-8

Σ

0.2797 0.4173 0.5827 NUDO 5

-4.3288 4.3288 -1.6516 K5-1

-0.5586 -1.1173 -1.5599 K5-6

K5-9

0.5150 0.2575 0.1487 Σ

-0.0848 -0.1695 -0.2367

-0.0720 -0.0360 0.0355 NUDO 6

0.0001 0.0002 0.0003 K6-2

-0.0014 -0.0007 0.0007 K6-5

0.0000 0.0000 0.0000 K6-7

0.0009 0.0004 0.0001 K6-10

-0.0001 -0.0002 -0.0003 Σ

0.0001 0.0001 0.0000

0.0000 0.0000 -0.0001 NUDO 7

0.0000 0.0000 0.0000 K7-3

0.0000 0.0000 0.0000 K7-6

0.0000 0.0000 K7-8

3 4

T33
REQUE: 4°
Page 57: cortante deVIGAS 01.xlsx

3.2632 -3.2632 K7-11

-4.5295 Σ

1.0440 NUDO 8

0.0000 -3.8314 K8-4

0.0000 0.0000 K8-7

0.0000 0.0000 K8-12

0.0000 0.0000 Σ

0.0000 0.0001

0.0001 -0.0001

-0.0005 0.0001

0.0006 0.0000

-0.0074 0.0015

-0.0010 0.0001

-0.0098 0.0710

-0.0502 -0.1183

0.7527 0.2974

-0.7800

0.3595 -3.3031

0.3073 0.5827 0.4040

0.2201 0.4173

-5.6690 5.6690

-1.1829 -2.3659 -2.2902

0.5391 0.2696

0.1065 0.2130 0.2062

-0.0070 -0.0035

0.0254 0.0509 0.0492

-0.0053 -0.0026

0.0005 0.0010 0.0010

-0.0004 -0.0002

0.0000 0.0001 0.0001

0.0000 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

-6.1931 3.8314 -2.0336

-1.0168

0.0000

0.0000

0.0000

0.0005

0.0246

0.1031

-1.1451

78

1211

Q70
REQUE: 8°
T70
REQUE: 2°
Page 58: cortante deVIGAS 01.xlsx

1211

Page 59: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2- PORTICO 2

b h INERCIAS 1 20.25 0.45 189843.75 3.27 3.94

0.25 0.35 89322.92 2.6

0.25 0.25 32552.08 5 65.59 3.91

I / L FD 3.75622.44 0.4602 9 10

730.1683 0.5398 3.05 3.081352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)I / L FD M1-2 -2.54 Tn-m M5-6 -4.34 Tn-m

622.44 0.3161 M2-1 2.54 Tn-m M6-5 4.34 Tn-m

616.3758 0.3130 M2-3 -3.12 Tn-m M6-7 -3.09 Tn-m

730.1683 0.3708 M3-2 3.12 Tn-m M7-6 3.09 Tn-m

1968.9826 1.0000 M3-4 -3.60 Tn-m M7-8 -5.67 Tn-m

M4-3 3.60 Tn-m M8-7 5.67 Tn-m

I / L FD

616.3758 0.3297

522.9855 0.2797

730.1683 0.3906

1869.5296 1.0000

I / L FD

522.9855 0.4173

730.1683 0.5827

1253.1538 1.0000

I / L FD 0.5398 0.4602

730.1683 0.3928 0.8516 -2.5381

622.4385 0.3349 0.9104 0.7761

506.2500 0.2723 -0.0399 0.0301

1858.8568 1.0000 0.0053 0.0045

0.0117 0.0242

I / L FD -0.0193 -0.0165

730.1683 0.2950 0.0034 0.0279

622.4385 0.2515 -0.0169 -0.0144

616.3758 0.2490 0.0019 0.0043

506.2500 0.2045 -0.0033 -0.0028

2475.2326 1.0000 0.0004 0.0007

-0.0006 -0.0005

I / L FD 0.0000 0.0002

730.1683 0.3073 -0.0001 -0.0001

616.3758 0.2594 0.0000

522.9855 0.2201 1.7045 -1.7044

1

Page 60: cortante deVIGAS 01.xlsx

506.2500 0.2131

2375.7796 1.0000

I / L FD

730.1683 0.5827 2.0961

522.9855 0.4173

506.2500 0.4040 0.0002

1253.1538 1.0000 -0.0003

0.0008

-0.0017

0.0038

-0.0085

0.0068

-0.0097

0.0233

0.0026

-0.0797

0.4552

1.7031

0.2723 0.3928

0.3349

-4.3358

1.1808 1.4518

-0.2523

-0.0553 -0.0680

-0.0620

0.0162 0.0199

-0.0077

0.0047 0.0058

-0.0012

0.0026 0.0032

-0.0004

0.0006 0.0007

-0.0001

0.0001 0.0001

0.0000

1.1498 -3.2459

0.5749

0.0001

0.0003

0.0013

0.0024

0.0081

-0.0276

0.5904

5

9

AD70
REQUE: 1° Nudo en ser equilibrado.
Page 61: cortante deVIGAS 01.xlsx

9

Page 62: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2- PORTICO 2

3 43.27

7 85.16

11 12

3.63

COMBINACION 2 - DEARROLLO DEL CROSS

0.3161 0.3130 0.3297 0.2797

2.5381 0.3708 -3.1164 3.1164 0.3906 -3.5951

0.3880 -0.4056

0.0602 0.0706 0.0596 0.0298

0.0023 -0.2959 0.1409 0.2817 0.333745478 0.2390

0.0483 0.0567 0.0478 0.0239 0.5907 -0.0336

-0.0082 -0.0727 -0.0958 -0.1916 -0.2269 -0.1625

0.0559 0.0655 0.0553 0.0277 0.0223 0.0151

-0.0072 -0.0091 -0.0107 -0.0214 -0.0254 -0.0182

0.0085 0.0100 0.0085 0.0042 0.0021 0.0033

-0.0014 -0.0014 -0.0016 -0.0032 -0.0038 -0.0027

0.0014 0.0016 0.0014 0.0007 0.0012 0.0006

-0.0003 -0.0005 -0.0004 -0.0008 -0.0010 -0.0007

0.0004 0.0004 0.0004 0.0002 0.0003 0.0001

0.0000 -0.0001 -0.0001 -0.0002 -0.0002 -0.0002

0.0001 0.0001 0.0001 0.0000 0.0001 0.0000

0.0000 0.0000 0.0000 -0.0001 0.0000

2 3

AG28
REQUE: Empezamos por el nudo 2.
AG33
REQUE: 5°
AK33
REQUE: 6°
Page 63: cortante deVIGAS 01.xlsx

3.0859 -0.1748 -2.9111 0.0000

3.2674 0.6931 -3.9605

-0.6571 -3.2112 3.8113 1.2717

0.0000 0.0000 0.0000

-0.0001 0.0000 0.0000 0.0000

0.0001 0.0001 0.0001 0.0001

-0.0002 -0.0002 -0.0001 -0.0001

0.0002 0.0003 0.0005 0.0006

-0.0010 -0.0009 -0.0004 -0.0005

0.0008 0.0010 0.0020 0.0024

-0.0029 -0.0024 -0.0012 -0.0019

0.0050 0.0018 0.0036 0.0043

-0.0181 -0.0153 -0.0077 -0.0127

0.0328 0.0188 0.0376 0.0446

-0.1454 -0.1228 -0.0614 -0.1135

0.0283 0.4987 0.9974 1.1815

-0.5918 -0.4996 -0.2498

0.0353 -3.0906 3.0906 0.1669

0.2950 0.2490 0.2594 0.3073

0.2515 0.2045 0.2131 0.2201

4.3358 -5.6690

0.7259 -1.1829

-0.5045 -0.4103

-0.0340 0.8192 0.8462

-0.1240 -0.1008 0.0299

0.0099 0.0309 0.0319

-0.0155 -0.0126 0.0065

0.0029 0.0030 0.0031

-0.0024 -0.0020 -0.0047

0.0016 0.0017 0.0017

-0.0009 -0.0007 -0.0011

0.0004 0.0004 0.0005

-0.0002 -0.0002 -0.0002

0.0001 0.0001 0.0001

0.0000 0.0000 -0.0001

4.3951 -0.5267 0.0000 0.0000

0.8552 -5.9383

-0.2633 0.4277

0.0000 0.0000

-0.0001 0.0001

-0.0004 0.0002

-0.0010 0.0008

-0.0063 0.0015

-0.0504 0.0154

-0.2052 0.4096

67

1110

AG70
REQUE: 7°
AM70
REQUE: 8°
Page 64: cortante deVIGAS 01.xlsx

1110

Page 65: cortante deVIGAS 01.xlsx

ELEMENTOS b hVP 0.25 0.45VS 0.25 0.35

COLUMNA 0.25 0.25

NUDO 1 I / L FD

K1-2 622.44 0.4602

K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

NUDO 2 I / L FD

K2-1 622.44 0.3161

K2-3 616.3758 0.3130

K2-6 730.1683 0.3708

Σ 1968.9826 1.0000

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

0.4173 0.5827 NUDO 5 I / L FD

3.5951 -1.6516 K5-1 730.1683 0.3928

-0.8111 -1.1324 K5-6 622.4385 0.3349

K5-9 506.2500 0.2723

0.1195 0.0417 Σ 1858.8568 1.0000

-0.0673 -0.0939

-0.0813 0.0090 NUDO 6 I / L FD

0.0301 0.0421 K6-2 730.1683 0.2950

-0.0091 -0.0066 K6-5 622.4385 0.2515

0.0065 0.0091 K6-7 616.3758 0.2490

-0.0013 -0.0016 K6-10 506.2500 0.2045

0.0012 0.0017 Σ 2475.2326 1.0000

-0.0004 -0.0003

0.0003 0.0004 NUDO 7 I / L FD

-0.0001 -0.0001 K7-3 730.1683 0.3073

0.0001 0.0001 K7-6 616.3758 0.2594

0.0000 K7-8 522.9855 0.2201

4

AP33
REQUE: 4°
Page 66: cortante deVIGAS 01.xlsx

2.7824 -2.7824 K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

-3.8053 K8-4 730.1683 0.5827

0.0000 K8-7 522.9855 0.4173

-0.0001 K8-12 506.2500 0.4040

0.0002 Σ 1253.1538 1.0000

-0.0006

0.0009

-0.0032

0.0046

-0.0132

0.0210

0.0181

-0.0470

0.0834

-0.5662

-3.3031

0.5827 0.4040

0.4173

5.6690

-2.3659 -2.2902

0.4231

0.0597 0.0578

0.0160

0.0129 0.0125

0.0015

-0.0094 -0.0091

0.0009

-0.0023 -0.0022

0.0002

-0.0005 -0.0004

0.0000

-0.0001 -0.0001

0.0000

3.8053 -2.2317

-1.1158

0.0000

-0.0002

-0.0011

-0.0046

0.0063

0.0289

-1.1451

8

12

AP70
REQUE: 2°
Page 67: cortante deVIGAS 01.xlsx

12

Page 68: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3- PORTICO 2

INERCIAS 1 2 3189843.75 3.94 3.27 3.94

89322.92 2.632552.08 5 6 7

4.26 5.25 3.83

3.75

9 10 11

3.05 3.08 3.63

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -3.06 Tn-m M5-6 -3.30 Tn-m

M2-1 3.06 Tn-m M6-5 3.30 Tn-m

M2-3 -2.59 Tn-m M6-7 -4.15 Tn-m

M3-2 2.59 Tn-m M7-6 4.15 Tn-m

M3-4 -4.33 Tn-m M7-8 -4.20 Tn-m

M4-3 4.33 Tn-m M8-7 4.20 Tn-m

COMBINACION 3- DEARROLLO DEL CROSS

0.5398 0.4602 0.3161 0.3130

0.6481 -3.0560 3.0560 0.3708

1.2998 1.1080 0.5540

-0.1396 -0.1615 -0.3230 -0.3789

0.1625 0.1386 0.0693 0.0714

-0.0203 -0.0886 -0.1773 -0.2079

0.0588 0.0501 0.0251 0.0257

-0.0073 -0.0121 -0.0242 -0.0284

0.0105 0.0089 0.0045 0.0091

-0.0015 -0.0038 -0.0077 -0.0090

0.0029 0.0024 0.0012 0.0028

-0.0004 -0.0011 -0.0022 -0.0025

0.0008 0.0007 0.0003 0.0006

0.0000 -0.0002 -0.0005 -0.0006

0.0001 0.0001 0.0001 0.0001

-0.0001 -0.0001 -0.0001

2.0145 -2.0146 0.0000

1 2

BC33
REQUE: 5°
Page 69: cortante deVIGAS 01.xlsx

3.1755 -0.5177

-0.0942 -3.9534

1.7256 0.0000

0.0001 0.0001

-0.0002 -0.0001 -0.0001

0.0004 0.0003 0.0002

-0.0008 -0.0003 -0.0003

0.0014 0.0012 0.0010

-0.0030 -0.0013 -0.0016

0.0052 0.0056 0.0047

-0.0146 -0.0045 -0.0081

0.0294 0.0182 0.0154

-0.0405 -0.0142 -0.0302

0.0813 0.0515 0.0435

-0.2792 -0.1040 0.0485

0.6499 0.1428 0.1205

1.2962 -0.1895 -4.1469

0.2723 0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.2999 3.2999

0.8987 1.1050 0.5525

0.0609 0.1217 0.0990

-0.1936 -0.2380 -0.1190

0.0219 0.0439 0.0357

-0.0281 -0.0346 -0.0173

0.0078 0.0155 0.0126

-0.0101 -0.0124 -0.0062

0.0024 0.0047 0.0039

-0.0021 -0.0025 -0.0013

0.0005 0.0010 0.0008

-0.0005 -0.0007 -0.0003

0.0001 0.0002 0.0002

-0.0001 -0.0002 -0.0001

0.0000 0.0001 0.0000

0.6642 -2.3897 3.8954 0.1522

0.3321 0.0761

-0.0001 0.0000

-0.0003 0.0001

-0.0010 0.0004

-0.0051 0.0019

-0.0141 0.0063

-0.0968 0.0178

0.4494 0.0495

5

109

AZ70
REQUE: 1° Nudo en ser equilibrado.
BC70
REQUE: 7°
Page 70: cortante deVIGAS 01.xlsx

109

Page 71: cortante deVIGAS 01.xlsx

4

8

12

COMBINACION 3- DEARROLLO DEL CROSS

0.3297 0.2797 0.4173

-2.5882 2.5882 0.3906 -4.3288 4.3288

-0.6478 -1.2957

-0.3199 -0.1599

0.4201 0.8402 0.995268899 0.7129 0.3564

-0.1755 -0.0878 0.0574 -0.1269 -0.2537

0.0259 0.0518 0.0614 0.0440 0.0220

-0.0240 -0.0120 -0.0357 -0.0169 -0.0338

0.0107 0.0213 0.0253 0.0181 0.0090

-0.0076 -0.0038 -0.0096 -0.0037 -0.0075

0.0028 0.0057 0.0067 0.0048 0.0024

-0.0021 -0.0011 -0.0019 -0.0009 -0.0018

0.0006 0.0013 0.0015 0.0011 0.0005

-0.0005 -0.0002 -0.0004 -0.0002 -0.0004

0.0001 0.0003 0.0003 0.0002 0.0001

-0.0001 -0.0001 -0.0001 0.0000 -0.0001

0.0000 0.0001 0.0001 0.0000 0.0000

3 4

BC28
REQUE: Empezamos por el nudo 2.
BG33
REQUE: 6°
BL33
REQUE: 4°
Page 72: cortante deVIGAS 01.xlsx

-2.6577 0.0000 3.1263

3.2439 1.1002 -4.3442

4.2560 0.5647

0.0000 0.0000 -2.9164

0.0000 0.0000 -0.0001

-0.0002 -0.0002 0.0002

0.0001 0.0002 -0.0003

-0.0007 -0.0008 0.0009

0.0005 0.0007 -0.0013

-0.0031 -0.0037 0.0038

0.0023 0.0033 -0.0052

-0.0162 -0.0192 0.0178

0.0077 0.0126 -0.0236

-0.0603 -0.0715 0.1181

0.0217 0.0307 -0.1771

0.0970 0.1149 0.5030

0.0603 -0.9045

4.1469 0.4976 -2.4482

0.2594 0.3073 0.5827

0.2131 0.2201 0.4173

-4.2018 4.2018

-0.8768 -1.7536

0.0796 0.0823 0.0411

0.1802 0.3603

-0.0496 -0.0512 -0.0256

0.0423 0.0846

-0.0133 -0.0138 -0.0069

0.0064 0.0127

-0.0026 -0.0027 -0.0013

0.0014 0.0027

-0.0006 -0.0006 -0.0003

0.0003 0.0006

-0.0001 -0.0001 -0.0001

0.0001 0.0001

0.0000 0.0000 0.0000

0.0134 -4.8341 2.9163

0.0067

0.0000

-0.0001

-0.0003

-0.0013

-0.0067

-0.0248

0.0398

67

1211

BI70
REQUE: 8°
BL70
REQUE: 2°
Page 73: cortante deVIGAS 01.xlsx

1211

Page 74: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS

VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92

COLUMNA 0.25 0.25 32552.08

NUDO 1 I / L FD

K1-2 622.44 0.4602

K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2NUDO 2 I / L FD

K2-1 622.44 0.3161

K2-3 616.3758 0.3130

K2-6 730.1683 0.3708

Σ 1968.9826 1.0000

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

0.5827 NUDO 5 I / L FD

-1.2241 K5-1 730.1683 0.3928

-1.8090 K5-6 622.4385 0.3349

K5-9 506.2500 0.2723

0.2515 Σ 1858.8568 1.0000

-0.3542

0.0591 NUDO 6 I / L FD

-0.0472 K6-2 730.1683 0.2950

0.0089 K6-5 622.4385 0.2515

-0.0104 K6-7 616.3758 0.2490

0.0019 K6-10 506.2500 0.2045

-0.0025 Σ 2475.2326 1.0000

0.0004

-0.0006 NUDO 7 I / L FD

0.0001 K7-3 730.1683 0.3073

-0.0001 K7-6 616.3758 0.2594

K7-8 522.9855 0.2201

4

Page 75: cortante deVIGAS 01.xlsx

-3.1263 K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.4040

-1.6974

0.3488

0.0819

0.0123

0.0026

0.0006

0.0001

-1.2510

-0.6255

0.0001

0.0003

0.0013

0.0062

0.0409

0.1744

-0.8487

8

12

Page 76: cortante deVIGAS 01.xlsx

12

Page 77: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 4- PORTICO 2

1 2 3 43.27 3.94 3.94

2.6

5 6 7 85.59 5.25 3.83

3.75

9 10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -2.54 Tn-m M5-6 -4.34 Tn-m

M2-1 2.54 Tn-m M6-5 4.34 Tn-m

M2-3 -3.12 Tn-m M6-7 -4.15 Tn-m

M3-2 3.12 Tn-m M7-6 4.15 Tn-m

M3-4 -4.33 Tn-m M7-8 -4.20 Tn-m

M4-3 4.33 Tn-m M8-7 4.20 Tn-m

COMBINACION 4 - DEARROLLO DEL CROSS

0.5398 0.4602 0.3161 0.3130

0.8516 -2.5381 2.5381 0.3708 -3.1164

0.9104 0.7761 0.3880

-0.0659 0.0301 0.0602 0.0706 0.0596

0.0194 0.0165 0.0083 -0.1401 0.3017

-0.0018 -0.0269 -0.0537 -0.0630 -0.0532

0.0155 0.0132 0.0066 -0.0003 0.0039

-0.0022 -0.0016 -0.0032 -0.0038 -0.0032

0.0020 0.0017 0.0009 0.0039 0.0065

-0.0004 -0.0018 -0.0036 -0.0042 -0.0035

0.0012 0.0010 0.0005 0.0014 0.0018

-0.0002 -0.0006 -0.0012 -0.0014 -0.0012

0.0004 0.0004 0.0002 0.0003 0.0004

0.0000 -0.0001 -0.0003 -0.0003 -0.0003

0.0001 0.0001 0.0000 0.0001 0.0001

0.0000 -0.0001 -0.0001 -0.0001

1.7300 -1.7300 0.0000 0.0000

1 2

BY33
REQUE: 5°
Page 78: cortante deVIGAS 01.xlsx

2.9407 -0.1369 -2.8037

-0.2705 -4.3146

2.0363 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0002 0.0001 0.0001

-0.0003 -0.0002 -0.0002

0.0006 0.0006 0.0005

-0.0009 -0.0007 -0.0010

0.0010 0.0029 0.0024

-0.0043 -0.0021 -0.0059

0.0077 0.0078 0.0066

-0.0037 -0.0019 -0.0230

0.0097 -0.0006 -0.0005

-0.1319 -0.0315 0.0898

0.4552 -0.2802 -0.2366

1.7031 0.0353 -4.1469

0.2723 0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-4.3358 4.3358

1.1808 1.4518 0.7259

-0.1194 -0.2389 -0.1943

-0.0914 -0.1124 -0.0562

-0.0003 -0.0005 -0.0004

-0.0026 -0.0032 -0.0016

0.0033 0.0067 0.0054

-0.0030 -0.0037 -0.0019

0.0012 0.0025 0.0020

-0.0006 -0.0008 -0.0004

0.0003 0.0005 0.0004

-0.0002 -0.0003 -0.0001

0.0001 0.0001 0.0001

-0.0001 -0.0001 0.0000

0.0000 0.0000 0.0000

1.0829 -3.1192 4.7719 -0.1868

0.5414 -0.0934

0.0000 0.0000

-0.0001 0.0001

-0.0003 0.0002

-0.0015 0.0010

-0.0013 0.0027

-0.0457 -0.0002

0.5904 -0.0972

5 6

109

BV70
REQUE: 1° Nudo en ser equilibrado.
BY70
REQUE: 7°
Page 79: cortante deVIGAS 01.xlsx

109

Page 80: cortante deVIGAS 01.xlsx

COMBINACION 4 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

3.1164 0.3906 -4.3288 4.3288 -1.2241

-0.6478 -1.2957 -1.8090

0.0298

0.6035 0.714897022 0.5120 0.2560 0.2413

-0.0266 0.1064 -0.1038 -0.2076 -0.2898

0.0079 0.0094 0.0067 0.0034 0.0479

-0.0016 -0.0272 -0.0107 -0.0214 -0.0299

0.0130 0.0154 0.0111 0.0055 0.0058

-0.0018 -0.0070 -0.0024 -0.0047 -0.0066

0.0037 0.0043 0.0031 0.0016 0.0012

-0.0006 -0.0012 -0.0006 -0.0012 -0.0016

0.0008 0.0009 0.0007 0.0003 0.0003

-0.0001 -0.0002 -0.0001 -0.0003 -0.0004

0.0002 0.0002 0.0001 0.0001 0.0001

0.0000 -0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000

3 4

BY28
REQUE: Empezamos por el nudo 2.
CC33
REQUE: 6°
CH33
REQUE: 4°
Page 81: cortante deVIGAS 01.xlsx

0.0000 3.0648 -3.0648

3.7445 0.8159 -4.5605

4.1527 0.5141

0.0000 0.0000 -2.9238

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0001 0.0001 -0.0002

-0.0004 -0.0005 0.0006

0.0003 0.0005 -0.0008

-0.0020 -0.0023 0.0024

0.0012 0.0022 -0.0033

-0.0118 -0.0139 0.0116

0.0033 0.0077 -0.0149

-0.0460 -0.0545 0.0958

-0.0003 0.0047 -0.1449

0.1797 0.2128 0.4826

-0.1183 -0.9045

4.1469 0.3574 -2.4482

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.2018 4.2018

-0.8768 -1.7536 -1.6974

0.1476 0.1524 0.0762

0.1728 0.3457 0.3346

-0.0378 -0.0390 -0.0195

0.0343 0.0686 0.0664

-0.0097 -0.0100 -0.0050

0.0042 0.0083 0.0080

-0.0016 -0.0017 -0.0008

0.0009 0.0017 0.0017

-0.0003 -0.0003 -0.0002

0.0002 0.0004 0.0004

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.0981 -4.7648 2.9237 -1.2862

0.0490 -0.6431

0.0000 0.0000

-0.0001 0.0002

-0.0002 0.0008

-0.0008 0.0040

-0.0048 0.0332

-0.0189 0.1673

0.0738 -0.8487

78

1211

CE70
REQUE: 8°
CH70
REQUE: 2°
Page 82: cortante deVIGAS 01.xlsx

1211

Page 83: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5- PORTICO 2

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 3.94

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

4.26

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -3.06 Tn-m

K2-1 622.44 0.3161 M2-1 3.06 Tn-m

K2-3 616.3758 0.3130 M2-3 -3.12 Tn-m

K2-6 730.1683 0.3708 M3-2 3.12 Tn-m

Σ 1968.9826 1.0000 M3-4 -3.60 Tn-m

M4-3 3.60 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.6481 -3.0560

K5-6 622.4385 0.3349 1.2998 1.1080

K5-9 506.2500 0.2723 -0.1372 -0.0780

Σ 1858.8568 1.0000 0.1162 0.0990

-0.0076 -0.0419

NUDO 6 I / L FD 0.0267 0.0228

K6-2 730.1683 0.2950 -0.0025 0.0094

K6-5 622.4385 0.2515 -0.0037 -0.0032

K6-7 616.3758 0.2490 0.0003 0.0008

K6-10 506.2500 0.2045 -0.0006 -0.0005

Σ 2475.2326 1.0000 0.0001 0.0000

0.0000 0.0000

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 1.9396 -1.9395

1

Page 84: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 1.7217

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 0.0000

0.0001

-0.0003

0.0006

-0.0019

-0.0049

0.0134

-0.0152

0.0581

-0.2744

0.6499

1.2962

0.2723 0.3928

0.3349

-3.2999

0.8987 1.1050

0.0485

-0.1902 -0.2339

-0.0194

-0.0105 -0.0130

-0.0008

-0.0034 -0.0042

0.0003

0.0004 0.0005

0.0000

0.0001 0.0001

0.0000

0.0000 0.0000

0.0000

0.6951 -2.4168

0.3475

0.0000

0.0000

0.0002

-0.0017

-0.0053

-0.0951

0.4494

5

9

CR70
REQUE: 1° Nudo en ser equilibrado.
Page 85: cortante deVIGAS 01.xlsx

9

Page 86: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5- PORTICO 2

2 3 43.94 3.27

6 7 85.25 5.16

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -3.30 Tn-m

M6-5 3.30 Tn-m

M6-7 -4.15 Tn-m

M7-6 4.15 Tn-m

M7-8 -5.67 Tn-m

M8-7 5.67 Tn-m

COMBINACION 5 - DEARROLLO DEL CROSS

0.3161 0.3130 0.3297

3.0560 0.3708 -3.1164 3.1164 0.3906

0.5540

-0.1560 -0.1830 -0.1545 -0.0773

0.0495 0.0569 0.1585 0.3170 0.375552789

-0.0838 -0.0983 -0.0829 -0.0415 0.3794

0.0114 -0.0227 -0.0481 -0.0963 -0.1140

0.0188 0.0221 0.0186 0.0093 0.0023

-0.0016 -0.0010 -0.0027 -0.0054 -0.0064

0.0017 0.0019 0.0016 0.0008 -0.0014

-0.0003 0.0003 0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000 0.0001

0.0000 -0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000 0.0001

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

2 3

CU28
REQUE: Empezamos por el nudo 2.
CU33
REQUE: 5°
CY33
REQUE: 6°
Page 87: cortante deVIGAS 01.xlsx

3.4497 -0.2238 -3.2260 0.0000

3.2230 0.6354

-0.0616 -3.7692 4.8177

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0001

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0002

0.0007 0.0006 0.0003

0.0010 -0.0012 -0.0024

-0.0019 -0.0016 -0.0008

0.0110 0.0019 0.0038

-0.0455 -0.0384 -0.0192

-0.0491 0.3203 0.6406

0.1139 0.0961 0.0481

-0.0915 -4.1469 4.1469

0.2950 0.2490 0.2594

0.2515 0.2045 0.2131

3.2999

0.5525

0.0971 0.0790

-0.1169 0.5262

-0.0388 -0.0315

-0.0065 0.0032

-0.0016 -0.0013

-0.0021 -0.0019

0.0006 0.0005

0.0003 0.0002

-0.0001 -0.0001

0.0001 0.0001

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

3.7844 0.0465 0.0000

0.5277

0.0232 0.2638

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0002 0.0001

-0.0007 -0.0010

-0.0158 0.0016

0.0395 0.2631

6

1110

CU70
REQUE: 7°
Page 88: cortante deVIGAS 01.xlsx

1110

Page 89: cortante deVIGAS 01.xlsx

0.2797 0.4173 0.5827

-3.5951 3.5951 -1.6516

-0.4056 -0.8111 -1.1324

0.2690 0.1345 0.0858

-0.0460 -0.0919 -0.1283

-0.0817 -0.0408 0.0182

0.0047 0.0094 0.0132

-0.0046 -0.0023 -0.0016

0.0008 0.0016 0.0023

-0.0001 0.0000 -0.0004

0.0001 0.0002 0.0002

-0.0001 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

3 4

DD33
REQUE: 4°
Page 90: cortante deVIGAS 01.xlsx

2.7947 -2.7947

-3.8584

0.8885

0.0000 -3.7217

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0001 -0.0001

0.0000 0.0001

0.0003 -0.0007

0.0000 0.0011

-0.0028 -0.0033

-0.0032 0.0066

0.0045 0.0364

-0.0570 -0.0642

0.7589 0.1716

-0.5662

0.1878 -3.3031

0.3073 0.5827 0.4040

0.2201 0.4173

-5.6690 5.6690

-1.1829 -2.3659 -2.2902

0.5435 0.2718

0.0614 0.1229 0.1190

0.0033 0.0016

0.0131 0.0261 0.0253

-0.0020 -0.0010

-0.0012 -0.0023 -0.0023

0.0002 0.0001

-0.0003 -0.0005 -0.0005

0.0001 0.0000

0.0000 -0.0001 -0.0001

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

-6.2338 3.7218 -2.1488

-1.0744

0.0000

0.0000

-0.0003

-0.0011

0.0126

0.0595

-1.1451

78

1211

DA70
REQUE: 8°
DD70
REQUE: 2°
Page 91: cortante deVIGAS 01.xlsx

1211

Page 92: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 3 - 3

ESTADO 1: ESTADO PARA CARGA MUERTA ESTADO 1

2.56 T/m 2.56 T/m 2.56 T/m 0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m 3.06 T/m

2.60 m

2.63.54 T/m 3.20 T/m 3.54 T/m 1.00 T/m 1.00 T/m

3.54 T/m 3.20 T/m

3.75 m 4.55 T/m 4.20 T/m

3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 2: ESTADO PARA CARGA VIVA ESTADO 2

0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m

2.60 m

2.61.00 T/m 1.00 T/m 1.00 T/m

3.54 T/m 3.20 T/m

4.55 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 3: ESTADO PARA CARGA VIVA ESTADO 3

0.50 T/m 0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m

2.60 m

2.6

Page 93: cortante deVIGAS 01.xlsx

1.00 T/m 1.00 T/m

3.54 T/m 3.20 T/m

4.20 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 4: ESTADO PARA CARGA VIVA ESTADO 4

0.50 T/m 0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m

2.60 m

2.60 m

1.00 T/m 1.00 T/m 1.00 T/m 1.00 T/m

3.54 T/m 3.20 T/m

4.55 T/m 4.20 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 5: ESTADO PARA CARGA VIVA ESTADO 5

0.50 T/m 0.50 T/m 0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m 3.06 T/m

2.60 m

2.60 m

1.00 T/m 1.00 T/m 1.00 T/m

3.54 T/m 3.20 T/m

4.20 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

Page 94: cortante deVIGAS 01.xlsx

0.50 T/m

2.56 T/m

3.06 T/m

1.00 T/m

3.54 T/m

4.55 T/m

C D

3.63 m

ESTADO 2

2.56 T/m

1.00 T/m

3.54 T/m

4.55 T/m

C D3.63 m

ESTADO 3

0.50 T/m

2.56 T/m

3.06 T/m

Page 95: cortante deVIGAS 01.xlsx

3.54 T/m

C D3.63 m

ESTADO 4

0.50 T/m

2.56 T/m

3.06 T/m

3.54 T/m

C D3.63 m

ESTADO 5

2.56 T/m

1.00 T/m

3.54 T/m

4.55 T/m

C D3.63 m

Page 96: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 3

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 3.06

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

4.55

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 1 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -2.37 Tn-m

K2-1 622.44 0.3161 M2-1 2.37 Tn-m

K2-3 616.3758 0.3130 M2-3 -2.42 Tn-m

K2-6 730.1683 0.3708 M3-2 2.42 Tn-m

Σ 1968.9826 1.0000 M3-4 -3.36 Tn-m

M4-3 3.36 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.6922 -2.3738

K5-6 622.4385 0.3349 0.9077 0.7738

K5-9 506.2500 0.2723 -0.0711 -0.0537

Σ 1858.8568 1.0000 0.0674 0.0574

-0.0007 -0.0238

NUDO 6 I / L FD 0.0132 0.0113

K6-2 730.1683 0.2950 -0.0008 0.0127

K6-5 622.4385 0.2515 -0.0064 -0.0055

K6-7 616.3758 0.2490 0.0006 0.0014

K6-10 506.2500 0.2045 -0.0011 -0.0009

Σ 2475.2326 1.0000 0.0001 0.0001

-0.0001 -0.0001

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 1.6010 -1.6010

1

Page 97: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 1.7311

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 -0.0001

0.0003

-0.0006

0.0012

-0.0032

-0.0017

0.0066

-0.0014

0.0337

-0.1421

0.4539

1.3844

0.2723 0.3928

0.3349

-3.5244

0.9599 1.1801

-0.0920

-0.0985 -0.1212

-0.0302

-0.0009 -0.0012

-0.0023

-0.0012 -0.0014

0.0000

0.0009 0.0011

-0.0001

0.0002 0.0002

0.0000

0.0000 0.0000

0.0000

0.8603 -2.5914

0.4301

0.0000

0.0001

0.0004

-0.0006

-0.0005

-0.0493

0.4799

5

9

H70
REQUE: 1° Nudo en ser equilibrado.
Page 98: cortante deVIGAS 01.xlsx

9

Page 99: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 3

2 3 43.06 3.06

6 7 84.20 4.55

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -3.52 Tn-m

M6-5 3.52 Tn-m

M6-7 -3.32 Tn-m

M7-6 3.32 Tn-m

M7-8 -4.99 Tn-m

M8-7 4.99 Tn-m

COMBINACION 1 - DEARROLLO DEL CROSS

0.3161 0.3130

2.3738 0.3708 -2.4207 2.4207

0.3869

-0.1075 -0.1261 -0.1064 -0.0532

0.0287 -0.1080 0.2296 0.4593

-0.0475 -0.0558 -0.0471 -0.0235

0.0056 -0.0354 -0.0508 -0.1016

0.0255 0.0299 0.0252 0.0126

-0.0027 -0.0027 -0.0036 -0.0072

0.0029 0.0034 0.0028 0.0014

-0.0005 0.0000 -0.0002 -0.0003

0.0002 0.0002 0.0002 0.0001

-0.0001 -0.0001 -0.0001 -0.0001

0.0001 0.0001 0.0001 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

2

K33
REQUE: 5°
O33
REQUE: 6°
Page 100: cortante deVIGAS 01.xlsx

2.6654 -0.2945 -2.3709

2.7081

-0.3666 -3.2346

0.0000

0.0000 0.0000

0.0000 0.0000

-0.0001 -0.0001

0.0000 0.0001

-0.0002 -0.0002

0.0001 0.0002

0.0001 0.0001

0.0017 -0.0012

-0.0055 -0.0046

0.0149 0.0042

-0.0709 -0.0598

-0.0279 0.3287

-0.2159 -0.1823

-0.0630 -3.3195

0.2950 0.2490

0.2515 0.2045

3.5244

0.5901

-0.1840 -0.1497

-0.0606

-0.0604 -0.0491

-0.0006

-0.0047 -0.0038

-0.0007

0.0001 0.0001

0.0005

-0.0002 -0.0002

0.0001

-0.0001 0.0000

0.0000

0.0000 0.0000

3.8039 -0.2028

-0.1014

0.0000

0.0000

-0.0001

0.0000

-0.0019

-0.0246

-0.0748

6

10

K70
REQUE: 7°
Page 101: cortante deVIGAS 01.xlsx

10

Page 102: cortante deVIGAS 01.xlsx

COMBINACION 1 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

0.3906 -3.3624 3.3624 -1.4544

-0.3981 -0.7963 -1.1117

0.5440833075 0.3897 0.1949 0.0807

0.3893 -0.0575 -0.1150 -0.1606

-0.1204 -0.0862 -0.0431 0.0224

0.0050 0.0043 0.0087 0.0121

-0.0086 -0.0061 -0.0031 -0.0015

-0.0014 0.0009 0.0019 0.0026

-0.0004 -0.0003 -0.0001 -0.0004

0.0002 0.0001 0.0002 0.0003

-0.0002 -0.0001 -0.0001 -0.0001

0.0001 0.0000 0.0000 0.0001

-0.0001 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

3 4

K28
REQUE: Empezamos por el nudo 2.
T33
REQUE: 4°
Page 103: cortante deVIGAS 01.xlsx

0.0000 2.6105 -2.6105

0.8077 -3.5157

3.8598 0.9935

0.0000 0.0000 -3.3352

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

-0.0001 -0.0001 0.0002

0.0003 0.0004 -0.0008

0.0000 -0.0002 0.0013

-0.0024 -0.0029 -0.0029

-0.0023 -0.0043 0.0061

0.0084 0.0099 0.0447

-0.0299 -0.0602 -0.0803

0.6573 0.7787 0.1614

-0.0911 -0.5559

3.3195 0.2720 -2.9088

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.9923 4.9923

-1.0417 -2.0835 -2.0168

0.5399 0.5577 0.2789

0.0578 0.1156 0.1119

0.0069 0.0071 0.0036

0.0160 0.0320 0.0310

-0.0020 -0.0021 -0.0010

-0.0010 -0.0021 -0.0020

0.0003 0.0003 0.0001

-0.0003 -0.0006 -0.0006

0.0001 0.0001 0.0001

0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.5451 -5.3985 3.3352 -1.8766

0.2726 -0.9383

0.0000 0.0000

0.0000 0.0000

0.0001 -0.0003

0.0001 -0.0010

-0.0010 0.0155

0.0034 0.0560

0.2699 -1.0084

78

1211

Q70
REQUE: 8°
T70
REQUE: 2°
Page 104: cortante deVIGAS 01.xlsx

1211

Page 105: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6922

K5-6 622.4385 0.3349 0.6979

K5-9 506.2500 0.2723 -0.0287

Σ 1858.8568 1.0000 0.0037

0.0111

NUDO 6 I / L FD -0.0170

K6-2 730.1683 0.2950 0.0032

K6-5 622.4385 0.2515 -0.0159

K6-7 616.3758 0.2490 0.0018

K6-10 506.2500 0.2045 -0.0033

Σ 2475.2326 1.0000 0.0004

-0.0006

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 -0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.3447

11

Page 106: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.9599

-0.0398

0.0154

0.0044

0.0025

0.0006

0.0001

0.9431

0.4715

0.0001

0.0003

0.0013

0.0022

0.0077

-0.0199

0.4799

5

9

5

9

Page 107: cortante deVIGAS 01.xlsx

99

Page 108: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2 - PORTICO 3

2 3 42.56 3.06 2.56

6 7 84.55 3.20 4.55

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-1.98 Tn-m M5-6 -3.52 Tn-m

1.98 Tn-m M6-5 3.52 Tn-m

-2.42 Tn-m M6-7 -2.53 Tn-m

2.42 Tn-m M7-6 2.53 Tn-m

-2.81 Tn-m M7-8 -4.99 Tn-m

2.81 Tn-m M8-7 4.99 Tn-m

COMBINACION 2 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.9850 1.9850 0.3708 -2.4207

0.5949 0.2975

0.0218 0.0437 0.0513 0.0433

0.0031 0.0016 -0.2380 0.1076

0.0204 0.0407 0.0478 0.0403

-0.0145 -0.0072 -0.0684 -0.0909

0.0263 0.0526 0.0618 0.0521

-0.0136 -0.0068 -0.0091 -0.0110

0.0043 0.0085 0.0100 0.0084

-0.0028 -0.0014 -0.0015 -0.0017

0.0007 0.0015 0.0017 0.0015

-0.0005 -0.0003 -0.0005 -0.0004

0.0002 0.0004 0.0005 0.0004

-0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0001 0.0001 0.0001

-1.3446 0.0000 0.0000

1 21 2

AG33
REQUE: 5°
Page 109: cortante deVIGAS 01.xlsx

2.4158 -0.1446 -2.2713

-0.5488 -2.5732

1.6926 0.0000

-0.0001 0.0000

0.0002 0.0001 0.0001

-0.0003 -0.0003 -0.0002

0.0008 0.0002 0.0003

-0.0016 -0.0010 -0.0009

0.0036 0.0009 0.0011

-0.0080 -0.0030 -0.0025

0.0064 0.0050 0.0025

-0.0085 -0.0182 -0.0154

0.0222 0.0309 0.0214

0.0018 -0.1369 -0.1155

-0.0574 0.0239 0.4645

0.3489 -0.4760 -0.4018

1.3844 0.0256 -2.5266

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.5244 3.5244

1.1801 0.5901

-0.2029 -0.4057 -0.3300

-0.0489 -0.0245

-0.0583 -0.1167 -0.0949

0.0189 0.0095

-0.0078 -0.0155 -0.0126

0.0054 0.0027

-0.0013 -0.0026 -0.0021

0.0031 0.0015

-0.0004 -0.0009 -0.0007

0.0007 0.0003

-0.0001 -0.0002 -0.0002

0.0001 0.0001

0.0000 0.0000 0.0000

-2.6357 3.5625 -0.4405

-0.2203

0.0000

-0.0001

-0.0004

-0.0010

-0.0063

-0.0474

-0.1650

6

109

6

109

AD70
REQUE: 1° Nudo en ser equilibrado.
AG70
REQUE: 7°
Page 110: cortante deVIGAS 01.xlsx

109 109

Page 111: cortante deVIGAS 01.xlsx

COMBINACION 2 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4207 0.3906 -2.8117 2.8117 -1.4544

-0.2832 -0.5665 -0.7909

0.0216

0.2152 0.2548928083 0.1826 0.0913 0.0004

0.0202 0.5503 -0.0191 -0.0383 -0.0534

-0.1818 -0.2153 -0.1542 -0.0771 0.0025

0.0261 0.0254 0.0156 0.0311 0.0435

-0.0221 -0.0262 -0.0187 -0.0094 -0.0069

0.0042 0.0029 0.0034 0.0068 0.0095

-0.0035 -0.0041 -0.0029 -0.0015 -0.0017

0.0007 0.0013 0.0007 0.0013 0.0018

-0.0009 -0.0010 -0.0007 -0.0004 -0.0003

0.0002 0.0003 0.0001 0.0003 0.0004

-0.0002 -0.0003 -0.0002 -0.0001 -0.0001

0.0000 0.0001 0.0000 0.0001 0.0001

-0.0001 -0.0001 0.0000 0.0000

3 43 4

AG28
REQUE: Empezamos por el nudo 2.
AK33
REQUE: 6°
AP33
REQUE: 4°
Page 112: cortante deVIGAS 01.xlsx

0.0000 2.2495 -2.2495

2.5004 0.5882 -3.0886

3.2381 1.1645

0.0000 0.0000 -3.3156

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0002

-0.0001 -0.0001 0.0002

0.0006 0.0007 -0.0007

-0.0004 -0.0005 0.0009

0.0022 0.0026 -0.0033

-0.0013 -0.0021 0.0048

0.0049 0.0058 -0.0139

-0.0077 -0.0131 0.0217

0.0428 0.0508 0.0050

-0.0578 -0.1077 -0.0267

0.9290 1.1005 0.0008

-0.2009 -0.3954

2.5266 0.1274 -2.9088

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.9923 4.9923

-1.0417 -2.0835 -2.0168

0.7630 0.7883 0.3941

0.0003 0.0005 0.0005

0.0352 0.0364 0.0182

0.0018 0.0036 0.0034

0.0040 0.0042 0.0021

-0.0050 -0.0099 -0.0096

0.0018 0.0018 0.0009

-0.0012 -0.0024 -0.0023

0.0005 0.0005 0.0002

-0.0002 -0.0005 -0.0005

0.0001 0.0001 0.0001

-0.0001 -0.0001 -0.0001

0.0000 0.0000 0.0000

0.8046 -5.2072 3.3156 -2.0253

0.4024 -1.0127

0.0000 -0.0001

0.0001 -0.0002

0.0002 -0.0011

0.0009 -0.0048

0.0020 0.0017

0.0176 0.0003

0.3815 -1.0084

78

1211

78

1211

AM70
REQUE: 8°
AP70
REQUE: 2°
Page 113: cortante deVIGAS 01.xlsx

1211 1211

Page 114: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.5395

K5-6 622.4385 0.3349 0.9902

K5-9 506.2500 0.2723 -0.1036

Σ 1858.8568 1.0000 0.1217

-0.0129

NUDO 6 I / L FD 0.0417

K6-2 730.1683 0.2950 -0.0048

K6-5 622.4385 0.2515 0.0046

K6-7 616.3758 0.2490 -0.0007

K6-10 506.2500 0.2045 0.0014

Σ 2475.2326 1.0000 -0.0002

0.0004

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.5774

11

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K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.7481

-0.1436

-0.0178

-0.0067

-0.0010

-0.0003

-0.0001

0.5786

0.2893

0.0000

-0.0001

-0.0005

-0.0034

-0.0089

-0.0718

0.3740

5

9

5

9

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99

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CROSS PARA COMBINACION 3 - PORTICO 3

2 3 43.06 2.56 3.06

6 7 83.54 4.20 3.54

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.37 Tn-m M5-6 -2.75 Tn-m

2.37 Tn-m M6-5 2.75 Tn-m

-2.02 Tn-m M6-7 -3.32 Tn-m

2.02 Tn-m M7-6 3.32 Tn-m

-3.36 Tn-m M7-8 -3.89 Tn-m

3.36 Tn-m M8-7 3.89 Tn-m

COMBINACION 3 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.3738 2.3738 0.3708 -2.0242

0.8441 0.4220

-0.1220 -0.2439 -0.2861 -0.2415

0.1038 0.0519 0.0377 0.3172

-0.0643 -0.1286 -0.1509 -0.1273

0.0355 0.0178 0.0055 0.0005

-0.0037 -0.0075 -0.0088 -0.0074

0.0040 0.0020 0.0045 0.0050

-0.0018 -0.0036 -0.0043 -0.0036

0.0012 0.0006 0.0017 0.0016

-0.0006 -0.0012 -0.0014 -0.0012

0.0004 0.0002 0.0003 0.0003

-0.0001 -0.0003 -0.0003 -0.0003

0.0001 0.0000 0.0001 0.0001

0.0000 -0.0001 -0.0001 -0.0001

-1.5774 0.0000 0.0000

1 21 2

BB33
REQUE: 5°
Page 118: cortante deVIGAS 01.xlsx

2.4831 -0.4020 -2.0810

-0.1263 -3.1303

1.4145 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0002 0.0001 0.0001

-0.0004 -0.0002 -0.0002

0.0007 0.0006 0.0005

-0.0015 -0.0007 -0.0009

0.0023 0.0033 0.0028

-0.0097 -0.0021 -0.0050

0.0208 0.0091 0.0076

-0.0257 -0.0044 -0.0153

0.0609 0.0110 0.0092

-0.2071 -0.0754 0.1266

0.4951 0.0755 0.0637

1.0790 -0.1431 -3.3195

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.7469 2.7469

0.9198 0.4599

0.0322 0.0643 0.0523

-0.1766 -0.0883

0.0047 0.0093 0.0076

-0.0219 -0.0110

0.0039 0.0077 0.0063

-0.0083 -0.0041

0.0014 0.0028 0.0023

-0.0013 -0.0006

0.0003 0.0006 0.0004

-0.0003 -0.0002

0.0001 0.0001 0.0001

-0.0001 0.0000

0.0000 0.0000 0.0000

-1.9930 3.1875 0.0691

0.0345

0.0000

0.0001

0.0002

0.0012

0.0031

0.0038

0.0262

6

109

6

109

AY70
REQUE: 1° Nudo en ser equilibrado.
BB70
REQUE: 7°
Page 119: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 3 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.0242 0.3906 -3.3624 3.3624 -1.1336

-0.4651 -0.9302 -1.2987

-0.1208

0.6343 0.7514561905 0.5382 0.2691 0.1579

-0.0637 0.1499 -0.0891 -0.1782 -0.2488

0.0009 0.0011 0.0008 0.0004 0.0400

-0.0037 -0.0182 -0.0084 -0.0169 -0.0236

0.0100 0.0118 0.0085 0.0042 0.0047

-0.0018 -0.0059 -0.0019 -0.0037 -0.0052

0.0032 0.0037 0.0027 0.0013 0.0010

-0.0006 -0.0010 -0.0005 -0.0010 -0.0013

0.0007 0.0008 0.0006 0.0003 0.0002

-0.0001 -0.0002 -0.0001 -0.0002 -0.0003

0.0002 0.0002 0.0001 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000 -0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

BB28
REQUE: Empezamos por el nudo 2.
BF33
REQUE: 6°
BK33
REQUE: 4°
Page 121: cortante deVIGAS 01.xlsx

0.0000 2.5077 -2.5077

2.4828 0.8937 -3.3766

3.5719 0.6337

0.0000 0.0000 -2.6484

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0001 0.0001 -0.0002

-0.0004 -0.0004 0.0005

0.0003 0.0004 -0.0007

-0.0017 -0.0020 0.0019

0.0014 0.0019 -0.0026

-0.0100 -0.0118 0.0093

0.0038 0.0059 -0.0118

-0.0307 -0.0363 0.0801

0.0046 0.0006 -0.1244

0.2531 0.2999 0.3158

0.0319 -0.6493

3.3195 0.3757 -2.2671

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.8909 3.8909

-0.8119 -1.6238 -1.5719

0.2079 0.2148 0.1074

0.1131 0.2262 0.2189

-0.0252 -0.0260 -0.0130

0.0287 0.0573 0.0555

-0.0082 -0.0085 -0.0042

0.0033 0.0067 0.0065

-0.0014 -0.0015 -0.0007

0.0007 0.0014 0.0013

-0.0003 -0.0003 -0.0002

0.0002 0.0003 0.0003

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.1727 -4.3784 2.6483 -1.2892

0.0863 -0.6446

0.0000 0.0000

-0.0001 0.0002

-0.0001 0.0007

-0.0007 0.0032

-0.0041 0.0278

-0.0126 0.1095

0.1040 -0.7859

78

1211

78

1211

BH70
REQUE: 8°
BK70
REQUE: 2°
Page 122: cortante deVIGAS 01.xlsx

1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6922

K5-6 622.4385 0.3349 0.6979

K5-9 506.2500 0.2723 -0.0483

Σ 1858.8568 1.0000 0.0143

0.0010

NUDO 6 I / L FD 0.0092

K6-2 730.1683 0.2950 -0.0010

K6-5 622.4385 0.2515 -0.0017

K6-7 616.3758 0.2490 0.0001

K6-10 506.2500 0.2045 0.0001

Σ 2475.2326 1.0000 0.0000

0.0001

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.3638

11

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K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.9599

-0.0669

0.0013

-0.0014

0.0001

0.0000

0.0000

0.8929

0.4464

0.0000

0.0000

0.0000

-0.0007

0.0007

-0.0335

0.4799

5

9

5

9

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CROSS PARA COMBINACION 4 - PORTICO 3

2 3 42.56 3.06 3.06

6 7 84.55 4.20 3.54

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-1.98 Tn-m M5-6 -3.52 Tn-m

1.98 Tn-m M6-5 3.52 Tn-m

-2.42 Tn-m M6-7 -3.32 Tn-m

2.42 Tn-m M7-6 3.32 Tn-m

-3.36 Tn-m M7-8 -3.89 Tn-m

3.36 Tn-m M8-7 3.89 Tn-m

COMBINACION 4 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.9850 1.9850 0.3708 -2.4207

0.5949 0.2975

0.0218 0.0437 0.0513 0.0433

0.0122 0.0061 -0.1210 0.2283

-0.0179 -0.0358 -0.0421 -0.0355

0.0078 0.0039 -0.0141 -0.0160

0.0041 0.0083 0.0097 0.0082

-0.0014 -0.0007 0.0006 0.0019

-0.0003 -0.0006 -0.0007 -0.0006

0.0001 0.0001 0.0007 0.0008

-0.0002 -0.0005 -0.0006 -0.0005

0.0001 0.0001 0.0001 0.0002

-0.0001 -0.0001 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-1.3638 0.0000 0.0000

1 21 2

BW33
REQUE: 5°
Page 127: cortante deVIGAS 01.xlsx

2.3068 -0.1161 -2.1906

-0.2586 -3.4014

1.6477 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0000 0.0000

-0.0001 -0.0001 -0.0001

0.0001 0.0002 0.0002

0.0001 -0.0003 -0.0004

-0.0008 0.0013 0.0011

-0.0020 -0.0003 -0.0033

0.0046 0.0013 0.0011

0.0019 0.0049 -0.0100

0.0071 -0.0282 -0.0238

-0.0965 -0.0210 0.1576

0.3489 -0.2421 -0.2043

1.3844 0.0256 -3.3195

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.5244 3.5244

1.1801 0.5901

-0.1032 -0.2063 -0.1678

-0.0823 -0.0411

-0.0120 -0.0240 -0.0195

0.0016 0.0008

0.0005 0.0011 0.0009

-0.0017 -0.0009

0.0006 0.0011 0.0009

0.0001 0.0000

0.0001 0.0002 0.0001

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

-2.5406 3.8454 -0.1854

-0.0927

0.0000

0.0000

0.0001

0.0005

0.0004

-0.0098

-0.0839

6

109

6

109

BT70
REQUE: 1° Nudo en ser equilibrado.
BW70
REQUE: 7°
Page 128: cortante deVIGAS 01.xlsx

109 109

Page 129: cortante deVIGAS 01.xlsx

COMBINACION 4 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4207 0.3906 -3.3624 3.3624 -1.1336

-0.4651 -0.9302 -1.2987

0.0216

0.4567 0.5409989296 0.3875 0.1937 0.1502

-0.0177 0.1867 -0.0718 -0.1435 -0.2004

-0.0320 -0.0380 -0.0272 -0.0136 0.0317

0.0041 -0.0118 -0.0038 -0.0075 -0.0105

0.0038 0.0045 0.0032 0.0016 0.0023

-0.0003 -0.0039 -0.0008 -0.0016 -0.0023

0.0017 0.0020 0.0014 0.0007 0.0004

-0.0002 -0.0005 -0.0002 -0.0005 -0.0007

0.0003 0.0004 0.0003 0.0001 0.0001

-0.0001 -0.0001 -0.0001 -0.0001 -0.0001

0.0001 0.0001 0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

BW28
REQUE: Empezamos por el nudo 2.
CA33
REQUE: 6°
CF33
REQUE: 4°
Page 130: cortante deVIGAS 01.xlsx

0.0000 2.4615 -2.4615

2.8586 0.6803 -3.5389

3.4944 0.5958

0.0000 0.0000 -2.6539

0.0000 0.0000 0.0000

0.0000 0.0000 0.0001

0.0000 0.0000 -0.0001

-0.0002 -0.0002 0.0002

0.0001 0.0002 -0.0003

-0.0008 -0.0010 0.0009

0.0006 0.0010 -0.0012

-0.0066 -0.0078 0.0047

0.0005 0.0022 -0.0053

-0.0199 -0.0236 0.0633

-0.0119 -0.0190 -0.1002

0.3152 0.3734 0.3004

-0.1022 -0.6493

3.3195 0.2705 -2.2671

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.8909 3.8909

-0.8119 -1.6238 -1.5719

0.2589 0.2674 0.1337

0.1076 0.2152 0.2083

-0.0164 -0.0169 -0.0084

0.0227 0.0453 0.0439

-0.0054 -0.0056 -0.0028

0.0017 0.0034 0.0033

-0.0007 -0.0007 -0.0004

0.0003 0.0006 0.0006

-0.0001 -0.0001 -0.0001

0.0001 0.0002 0.0002

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.2363 -4.3264 2.6539 -1.3156

0.1181 -0.6578

0.0000 0.0000

0.0000 0.0001

-0.0001 0.0003

-0.0003 0.0016

-0.0027 0.0219

-0.0082 0.1041

0.1294 -0.7859

78

1211

78

1211

CC70
REQUE: 8°
CF70
REQUE: 2°
Page 131: cortante deVIGAS 01.xlsx

1211 1211

Page 132: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.5395

K5-6 622.4385 0.3349 0.9902

K5-9 506.2500 0.2723 -0.1017

Σ 1858.8568 1.0000 0.0869

-0.0034

NUDO 6 I / L FD 0.0176

K6-2 730.1683 0.2950 -0.0012

K6-5 622.4385 0.2515 -0.0060

K6-7 616.3758 0.2490 0.0006

K6-10 506.2500 0.2045 -0.0012

Σ 2475.2326 1.0000 0.0002

-0.0002

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.5211

11

Page 133: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.7481

-0.1411

-0.0047

-0.0017

0.0009

0.0002

0.0000

0.6018

0.3009

0.0000

0.0001

0.0004

-0.0008

-0.0023

-0.0705

0.3740

5

9

5

9

Page 134: cortante deVIGAS 01.xlsx

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Page 135: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5 - PORTICO 3

2 3 43.06 3.06 2.56

6 7 83.54 4.20 4.55

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.37 Tn-m M5-6 -2.75 Tn-m

2.37 Tn-m M6-5 2.75 Tn-m

-2.42 Tn-m M6-7 -3.32 Tn-m

2.42 Tn-m M7-6 3.32 Tn-m

-2.81 Tn-m M7-8 -4.99 Tn-m

2.81 Tn-m M8-7 4.99 Tn-m

COMBINACION 5 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.3738 2.3738 0.3708 -2.4207

0.8441 0.4220

-0.0593 -0.1186 -0.1391 -0.1174

0.0741 0.0371 0.0269 0.1208

-0.0292 -0.0584 -0.0685 -0.0578

0.0150 0.0075 -0.0309 -0.0551

0.0124 0.0248 0.0291 0.0246

-0.0052 -0.0026 -0.0030 -0.0050

0.0017 0.0034 0.0039 0.0033

-0.0011 -0.0005 -0.0002 -0.0006

0.0002 0.0004 0.0005 0.0004

-0.0002 -0.0001 -0.0002 -0.0002

0.0001 0.0001 0.0002 0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-1.5211 0.0000 0.0000

1 21 2

CR33
REQUE: 5°
Page 136: cortante deVIGAS 01.xlsx

2.6889 -0.1813 -2.5076

-0.1018 -2.9920

1.4116 0.0000

0.0000 0.0000

0.0001 0.0000 0.0000

-0.0001 -0.0001 -0.0001

0.0003 0.0001 0.0001

-0.0006 -0.0003 -0.0003

0.0012 0.0002 0.0004

-0.0030 -0.0003 -0.0003

-0.0024 0.0020 0.0002

0.0088 -0.0060 -0.0051

-0.0067 0.0146 0.0087

0.0435 -0.0618 -0.0522

-0.2035 -0.0343 0.3306

0.4951 0.0538 0.0454

1.0790 -0.0696 -3.3195

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.7469 2.7469

0.9198 0.4599

0.0229 0.0458 0.0373

-0.1735 -0.0867

-0.0264 -0.0527 -0.0429

-0.0057 -0.0029

-0.0026 -0.0051 -0.0042

-0.0021 -0.0010

-0.0001 -0.0003 -0.0002

0.0011 0.0005

-0.0001 -0.0003 -0.0002

0.0003 0.0001

0.0000 -0.0001 -0.0001

0.0000 0.0000

0.0000 0.0000 0.0000

-2.0133 3.1041 -0.0103

-0.0052

0.0000

0.0000

-0.0001

-0.0001

-0.0021

-0.0214

0.0186

6

109

6

109

CO70
REQUE: 1° Nudo en ser equilibrado.
CR70
REQUE: 7°
Page 137: cortante deVIGAS 01.xlsx

109 109

Page 138: cortante deVIGAS 01.xlsx

COMBINACION 5 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4207 0.3906 -2.8117 2.8117 -1.4544

-0.2832 -0.5665 -0.7909

-0.0587

0.2417 0.2862748868 0.2050 0.1025 0.0335

-0.0289 0.3916 -0.0284 -0.0568 -0.0792

-0.1102 -0.1306 -0.0935 -0.0468 0.0094

0.0123 0.0104 0.0078 0.0156 0.0218

-0.0100 -0.0119 -0.0085 -0.0043 -0.0032

0.0017 0.0003 0.0016 0.0031 0.0044

-0.0012 -0.0014 -0.0010 -0.0005 -0.0007

0.0002 0.0005 0.0003 0.0005 0.0007

-0.0003 -0.0004 -0.0003 -0.0001 -0.0001

0.0001 0.0001 0.0001 0.0001 0.0002

-0.0001 -0.0001 -0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

CR28
REQUE: Empezamos por el nudo 2.
CV33
REQUE: 6°
DA33
REQUE: 4°
Page 139: cortante deVIGAS 01.xlsx

0.0000 2.2587 -2.2587

2.4671 0.5449 -3.0120

3.9935 0.8768

0.0000 0.0000 -3.2529

0.0000 0.0000 0.0000

0.0000 0.0001 -0.0001

0.0000 0.0000 0.0001

0.0002 0.0003 -0.0003

-0.0001 -0.0002 0.0004

0.0008 0.0010 -0.0015

-0.0001 -0.0007 0.0022

0.0005 0.0005 -0.0065

-0.0025 -0.0059 0.0109

0.0175 0.0207 0.0188

-0.0261 -0.0653 -0.0396

0.6612 0.7833 0.0670

0.0227 -0.3954

3.3195 0.1431 -2.9088

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.9923 4.9923

-1.0417 -2.0835 -2.0168

0.5431 0.5610 0.2805

0.0240 0.0480 0.0464

0.0144 0.0148 0.0074

0.0067 0.0134 0.0130

0.0004 0.0004 0.0002

-0.0023 -0.0046 -0.0045

0.0007 0.0007 0.0003

-0.0005 -0.0011 -0.0010

0.0002 0.0002 0.0001

-0.0001 -0.0002 -0.0002

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.5587 -5.4291 3.2529 -1.9631

0.2794 -0.9815

0.0000 0.0000

0.0000 -0.0001

0.0001 -0.0005

0.0003 -0.0022

0.0002 0.0065

0.0072 0.0232

0.2715 -1.0084

78

1211

78

1211

CX70
REQUE: 8°
DA70
REQUE: 2°
Page 140: cortante deVIGAS 01.xlsx

1211 1211

Page 141: cortante deVIGAS 01.xlsx
Page 142: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 4 - 4

ESTADO 1: ESTADO PARA CARGA MUERTA ESTADO 1

2.58 T/m 2.58 T/m 2.58 T/m 0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m 3.08 T/m

2.60 m

2.63.03 T/m 3.18 T/m 3.12 T/m 1.01 T/m 1.01 T/m

3.03 T/m 3.18 T/m

3.75 m 4.04 T/m 4.19 T/m

3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 2: ESTADO PARA CARGA VIVA ESTADO 2

0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m

2.60 m

2.61.01 T/m 1.01 T/m 1.01 T/m

3.03 T/m 3.18 T/m

4.04 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 3: ESTADO PARA CARGA VIVA ESTADO 3

0.50 T/m 0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m

2.60 m

2.6

Page 143: cortante deVIGAS 01.xlsx

1.01 T/m 1.01 T/m

3.03 T/m 3.18 T/m

4.19 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 4: ESTADO PARA CARGA VIVA ESTADO 4

0.50 T/m 0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m

2.60 m

2.60 m

1.01 T/m 1.01 T/m 1.01 T/m 1.01 T/m

3.03 T/m 3.18 T/m

4.04 T/m 4.19 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 5: ESTADO PARA CARGA VIVA ESTADO 5

0.50 T/m 0.50 T/m 0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m 3.08 T/m

2.60 m

2.60 m

1.01 T/m 1.01 T/m 1.01 T/m

3.03 T/m 3.18 T/m

4.19 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

Page 144: cortante deVIGAS 01.xlsx

0.50 T/m

2.58 T/m

3.08 T/m

1.01 T/m

3.12 T/m

4.13 T/m

C D

3.63 m

ESTADO 2

2.58 T/m

1.01 T/m

3.12 T/m

4.13 T/m

C D3.63 m

ESTADO 3

0.50 T/m

2.58 T/m

3.08 T/m

Page 145: cortante deVIGAS 01.xlsx

3.12 T/m

C D3.63 m

ESTADO 4

0.50 T/m

2.58 T/m

3.08 T/m

3.12 T/m

C D3.63 m

ESTADO 5

2.58 T/m

1.01 T/m

3.12 T/m

4.13 T/m

C D3.63 m

Page 146: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 4

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 3.08

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

4.04

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 1 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -2.39 Tn-m

K2-1 622.44 0.3161 M2-1 2.39 Tn-m

K2-3 616.3758 0.3130 M2-3 -2.43 Tn-m

K2-6 730.1683 0.3708 M3-2 2.43 Tn-m

Σ 1968.9826 1.0000 M3-4 -3.38 Tn-m

M4-3 3.38 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.6153 -2.3877

K5-6 622.4385 0.3349 0.9568 0.8156

K5-9 506.2500 0.2723 -0.0870 -0.0570

Σ 1858.8568 1.0000 0.0777 0.0663

-0.0044 -0.0360

NUDO 6 I / L FD 0.0218 0.0186

K6-2 730.1683 0.2950 -0.0021 0.0067

K6-5 622.4385 0.2515 -0.0025 -0.0021

K6-7 616.3758 0.2490 0.0001 0.0002

K6-10 506.2500 0.2045 -0.0002 -0.0002

Σ 2475.2326 1.0000 0.0000 -0.0002

0.0001 0.0001

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 1.5757 -1.5757

1

Page 147: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 1.5708

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 0.0000

0.0000

-0.0001

0.0003

-0.0012

-0.0043

0.0109

-0.0087

0.0389

-0.1740

0.4784

1.2306

0.2723 0.3928

0.3349

-3.1328

0.8532 1.0490

-0.0354

-0.1206 -0.1483

-0.0167

-0.0060 -0.0074

-0.0001

-0.0029 -0.0036

0.0005

0.0002 0.0002

0.0000

0.0000 0.0000

0.0000

0.0000 0.0000

0.0000

0.7238 -2.2946

0.3619

0.0000

0.0000

0.0001

-0.0015

-0.0030

-0.0603

0.4266

5

9

H70
REQUE: 1° Nudo en ser equilibrado.
Page 148: cortante deVIGAS 01.xlsx

9

Page 149: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 4

2 3 43.08 3.08

6 7 84.19 4.13

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -3.13 Tn-m

M6-5 3.13 Tn-m

M6-7 -3.31 Tn-m

M7-6 3.31 Tn-m

M7-8 -4.53 Tn-m

M8-7 4.53 Tn-m

COMBINACION 1 - DEARROLLO DEL CROSS

0.3161 0.3130

2.3877 0.3708 -2.4349 2.4349

0.4078

-0.1140 -0.1337 -0.1129 -0.0564

0.0331 -0.0415 0.2364 0.4728

-0.0721 -0.0846 -0.0714 -0.0357

0.0093 -0.0196 -0.0320 -0.0640

0.0134 0.0157 0.0132 0.0066

-0.0010 -0.0001 -0.0004 -0.0008

0.0005 0.0006 0.0005 0.0002

-0.0001 0.0006 0.0005 0.0009

-0.0003 -0.0004 -0.0003 -0.0001

0.0000 0.0000 0.0001 0.0002

0.0000 -0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

2

K33
REQUE: 5°
O33
REQUE: 6°
Page 150: cortante deVIGAS 01.xlsx

2.6643 -0.2630 -2.4012

2.7585

-0.2224 -3.1681

0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0001 0.0001

-0.0002 -0.0002

0.0012 0.0010

0.0003 -0.0025

-0.0002 -0.0002

0.0078 -0.0035

-0.0392 -0.0331

-0.0423 0.2493

-0.0830 -0.0701

-0.0669 -3.3090

0.2950 0.2490

0.2515 0.2045

3.1328

0.5245

-0.0708 -0.0576

-0.0742

-0.0334 -0.0272

-0.0037

-0.0002 -0.0001

-0.0018

0.0010 0.0008

0.0001

0.0001 0.0001

0.0000

0.0000 0.0000

0.0000

0.0000 0.0000

3.4745 -0.0840

-0.0420

0.0000

0.0000

0.0000

0.0004

-0.0001

-0.0136

-0.0288

6

10

K70
REQUE: 7°
Page 151: cortante deVIGAS 01.xlsx

10

Page 152: cortante deVIGAS 01.xlsx

COMBINACION 1 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

0.3906 -3.3821 3.3821 -1.3199

-0.4303 -0.8607 -1.2016

0.5600745186 0.4012 0.2006 0.1134

0.2953 -0.0655 -0.1310 -0.1829

-0.0758 -0.0543 -0.0272 0.0275

-0.0041 -0.0001 -0.0001 -0.0002

-0.0009 -0.0007 -0.0003 0.0006

-0.0029 -0.0001 -0.0001 -0.0002

0.0011 0.0008 0.0004 0.0001

-0.0002 -0.0001 -0.0002 -0.0003

0.0002 0.0001 0.0001 0.0000

0.0000 0.0000 0.0000 -0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

3 4

K28
REQUE: Empezamos por el nudo 2.
T33
REQUE: 4°
Page 153: cortante deVIGAS 01.xlsx

0.0000 2.5635 -2.5635

0.7726 -3.5311

3.7441 0.8183

0.0000 0.0000 -3.0490

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 -0.0001 0.0001

0.0000 0.0001 -0.0001

-0.0004 -0.0005 0.0001

0.0005 0.0005 -0.0001

-0.0050 -0.0059 0.0013

-0.0001 -0.0005 -0.0001

-0.0069 -0.0082 0.0550

-0.0165 -0.0379 -0.0915

0.4986 0.5906 0.2268

-0.0350 -0.6008

3.3090 0.2800 -2.6397

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.5304 4.5304

-0.9454 -1.8907 -1.8302

0.4095 0.4231 0.2115

0.0812 0.1625 0.1573

-0.0057 -0.0059 -0.0029

0.0197 0.0394 0.0381

-0.0041 -0.0042 -0.0021

0.0005 0.0009 0.0009

-0.0003 -0.0003 -0.0002

0.0001 0.0001 0.0001

0.0000 0.0000 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.3994 -4.9617 3.0490 -1.6337

0.1997 -0.8169

0.0000 0.0000

0.0000 0.0000

0.0000 0.0001

-0.0002 0.0004

-0.0020 0.0191

-0.0029 0.0786

0.2048 -0.9151

78

1211

Q70
REQUE: 8°
T70
REQUE: 2°
Page 154: cortante deVIGAS 01.xlsx

1211

Page 155: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6153

K5-6 622.4385 0.3349 0.7455

K5-9 506.2500 0.2723 -0.0443

Σ 1858.8568 1.0000 0.0136

0.0075

NUDO 6 I / L FD -0.0086

K6-2 730.1683 0.2950 0.0019

K6-5 622.4385 0.2515 -0.0120

K6-7 616.3758 0.2490 0.0013

K6-10 506.2500 0.2045 -0.0024

Σ 2475.2326 1.0000 0.0003

-0.0004

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 -0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.3176

11

Page 156: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.8532

-0.0615

0.0104

0.0027

0.0019

0.0004

0.0001

0.8072

0.4036

0.0000

0.0002

0.0009

0.0013

0.0052

-0.0307

0.4266

5

9

5

9

Page 157: cortante deVIGAS 01.xlsx

99

Page 158: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2 - PORTICO 4

2 3 42.58 3.08 2.58

6 7 84.04 3.18 4.13

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.00 Tn-m M5-6 -3.13 Tn-m

2.00 Tn-m M6-5 3.13 Tn-m

-2.43 Tn-m M6-7 -2.51 Tn-m

2.43 Tn-m M7-6 2.51 Tn-m

-2.83 Tn-m M7-8 -4.53 Tn-m

2.83 Tn-m M8-7 4.53 Tn-m

COMBINACION 2 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.9963 1.9963 0.3708 -2.4349

0.6355 0.3178

0.0191 0.0382 0.0448 0.0378

0.0116 0.0058 -0.1724 0.1135

0.0084 0.0168 0.0197 0.0166

-0.0073 -0.0037 -0.0528 -0.0723

0.0204 0.0407 0.0478 0.0403

-0.0103 -0.0051 -0.0065 -0.0079

0.0031 0.0062 0.0072 0.0061

-0.0020 -0.0010 -0.0010 -0.0011

0.0005 0.0010 0.0012 0.0010

-0.0004 -0.0002 -0.0004 -0.0003

0.0001 0.0003 0.0003 0.0003

-0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0001 0.0001 0.0001

-1.3176 0.0000 0.0000

1 21 2

AG33
REQUE: 5°
Page 159: cortante deVIGAS 01.xlsx

2.4130 -0.1121 -2.3009

-0.4058 -2.5022

1.5320 0.0000

0.0000 0.0000

0.0001 0.0000 0.0000

-0.0002 -0.0002 -0.0001

0.0006 0.0002 0.0002

-0.0012 -0.0007 -0.0006

0.0027 0.0006 0.0007

-0.0060 -0.0019 -0.0016

0.0039 0.0036 0.0012

-0.0043 -0.0130 -0.0110

0.0150 0.0239 0.0139

0.0068 -0.1056 -0.0892

-0.0887 0.0098 0.3861

0.3727 -0.3449 -0.2911

1.2306 0.0224 -2.5107

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.1328 3.1328

1.0490 0.5245

-0.1470 -0.2940 -0.2391

-0.0756 -0.0378

-0.0450 -0.0901 -0.0732

0.0128 0.0064

-0.0056 -0.0111 -0.0090

0.0033 0.0016

-0.0008 -0.0016 -0.0013

0.0023 0.0011

-0.0003 -0.0006 -0.0005

0.0005 0.0003

-0.0001 -0.0002 -0.0001

0.0001 0.0000

0.0000 0.0000 0.0000

-2.3392 3.2315 -0.3234

-0.1617

0.0000

-0.0001

-0.0003

-0.0007

-0.0045

-0.0366

-0.1195

6

109

6

109

AD70
REQUE: 1° Nudo en ser equilibrado.
AG70
REQUE: 7°
Page 160: cortante deVIGAS 01.xlsx

109 109

Page 161: cortante deVIGAS 01.xlsx

COMBINACION 2 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4349 0.3906 -2.8277 2.8277 -1.3199

-0.3146 -0.6293 -0.8786

0.0189

0.2270 0.2689234059 0.1926 0.0963 0.0325

0.0083 0.4573 -0.0269 -0.0538 -0.0751

-0.1447 -0.1714 -0.1227 -0.0614 0.0075

0.0202 0.0164 0.0112 0.0225 0.0314

-0.0158 -0.0187 -0.0134 -0.0067 -0.0049

0.0031 0.0015 0.0024 0.0048 0.0067

-0.0023 -0.0027 -0.0019 -0.0010 -0.0012

0.0005 0.0009 0.0004 0.0009 0.0012

-0.0006 -0.0007 -0.0005 -0.0003 -0.0002

0.0001 0.0002 0.0001 0.0002 0.0003

-0.0002 -0.0002 -0.0001 -0.0001 -0.0001

0.0000 0.0001 0.0000 0.0000 0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

AG28
REQUE: Empezamos por el nudo 2.
AK33
REQUE: 6°
AP33
REQUE: 4°
Page 162: cortante deVIGAS 01.xlsx

0.0000 2.2001 -2.2001

2.5495 0.5516 -3.1011

3.1182 0.9904

0.0000 0.0000 -3.0292

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

-0.0001 -0.0001 0.0001

0.0004 0.0005 -0.0005

-0.0003 -0.0004 0.0006

0.0015 0.0017 -0.0023

-0.0008 -0.0014 0.0034

0.0025 0.0029 -0.0098

-0.0055 -0.0093 0.0157

0.0278 0.0329 0.0150

-0.0446 -0.0857 -0.0375

0.7721 0.9147 0.0651

-0.1456 -0.4393

2.5107 0.1345 -2.6397

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.5304 4.5304

-0.9454 -1.8907 -1.8302

0.6342 0.6552 0.3276

0.0233 0.0466 0.0451

0.0228 0.0235 0.0118

0.0054 0.0108 0.0104

0.0020 0.0021 0.0010

-0.0035 -0.0070 -0.0068

0.0012 0.0012 0.0006

-0.0008 -0.0017 -0.0016

0.0003 0.0003 0.0002

-0.0002 -0.0003 -0.0003

0.0001 0.0001 0.0000

0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000

0.6606 -4.7692 3.0293 -1.7834

0.3303 -0.8917

0.0000 0.0000

0.0001 -0.0002

0.0002 -0.0008

0.0006 -0.0034

0.0010 0.0052

0.0114 0.0226

0.3171 -0.9151

78

1211

78

1211

AM70
REQUE: 8°
AP70
REQUE: 2°
Page 163: cortante deVIGAS 01.xlsx

1211 1211

Page 164: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.4615

K5-6 622.4385 0.3349 1.0398

K5-9 506.2500 0.2723 -0.1197

Σ 1858.8568 1.0000 0.1325

-0.0166

NUDO 6 I / L FD 0.0505

K6-2 730.1683 0.2950 -0.0062

K6-5 622.4385 0.2515 0.0087

K6-7 616.3758 0.2490 -0.0012

K6-10 506.2500 0.2045 0.0023

Σ 2475.2326 1.0000 -0.0003

0.0006

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.5519

11

Page 165: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.6400

-0.1660

-0.0230

-0.0085

-0.0017

-0.0004

-0.0001

0.4402

0.2201

-0.0001

-0.0002

-0.0008

-0.0043

-0.0115

-0.0830

0.3200

5

9

5

9

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99

Page 167: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3 - PORTICO 4

2 3 43.08 2.58 3.08

6 7 83.03 4.19 3.12

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.39 Tn-m M5-6 -2.35 Tn-m

2.39 Tn-m M6-5 2.35 Tn-m

-2.04 Tn-m M6-7 -3.31 Tn-m

2.04 Tn-m M7-6 3.31 Tn-m

-3.38 Tn-m M7-8 -3.42 Tn-m

3.38 Tn-m M8-7 3.42 Tn-m

COMBINACION 3 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.3877 2.3877 0.3708 -2.0357

0.8864 0.4432

-0.1257 -0.2514 -0.2949 -0.2489

0.1129 0.0565 0.1052 0.3245

-0.0768 -0.1537 -0.1803 -0.1522

0.0430 0.0215 0.0216 0.0196

-0.0099 -0.0198 -0.0233 -0.0196

0.0074 0.0037 0.0072 0.0083

-0.0030 -0.0061 -0.0071 -0.0060

0.0020 0.0010 0.0022 0.0022

-0.0009 -0.0017 -0.0020 -0.0017

0.0005 0.0003 0.0005 0.0005

-0.0002 -0.0004 -0.0005 -0.0004

0.0001 0.0000 0.0001 0.0001

0.0000 -0.0001 -0.0001 -0.0001

-1.5520 0.0000 0.0000

1 21 2

BB33
REQUE: 5°
Page 168: cortante deVIGAS 01.xlsx

2.4807 -0.3713 -2.1094

0.0196 -3.0631

1.2520 0.0000

0.0001 0.0000

-0.0002 0.0000 -0.0001

0.0003 0.0002 0.0002

-0.0006 -0.0002 -0.0003

0.0011 0.0010 0.0008

-0.0024 -0.0010 -0.0012

0.0043 0.0044 0.0038

-0.0123 -0.0036 -0.0063

0.0252 0.0144 0.0122

-0.0332 -0.0116 -0.0231

0.0662 0.0432 0.0364

-0.2394 -0.0901 0.0458

0.5199 0.2103 0.1775

0.9231 -0.1474 -3.3090

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.3500 2.3500

0.7869 0.3935

0.0896 0.1793 0.1458

-0.2041 -0.1021

0.0184 0.0368 0.0299

-0.0283 -0.0142

0.0062 0.0123 0.0100

-0.0105 -0.0053

0.0019 0.0038 0.0031

-0.0021 -0.0010

0.0004 0.0008 0.0007

-0.0005 -0.0003

0.0001 0.0002 0.0002

-0.0001 -0.0001

0.0000 0.0000 0.0000

-1.6922 2.8539 0.1897

0.0948

0.0000

0.0001

0.0003

0.0015

0.0050

0.0150

0.0729

6

109

6

109

AY70
REQUE: 1° Nudo en ser equilibrado.
BB70
REQUE: 7°
Page 169: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 3 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.0357 0.3906 -3.3821 3.3821 -0.9968

-0.4977 -0.9955 -1.3898

-0.1245

0.6490 0.7688533194 0.5507 0.2753 0.1911

-0.0761 0.0543 -0.0973 -0.1947 -0.2718

0.0393 0.0465 0.0333 0.0167 0.0453

-0.0098 -0.0274 -0.0129 -0.0259 -0.0361

0.0165 0.0196 0.0140 0.0070 0.0068

-0.0030 -0.0074 -0.0029 -0.0058 -0.0081

0.0044 0.0052 0.0037 0.0019 0.0015

-0.0008 -0.0014 -0.0007 -0.0014 -0.0019

0.0010 0.0012 0.0008 0.0004 0.0003

-0.0002 -0.0003 -0.0002 -0.0003 -0.0004

0.0002 0.0003 0.0002 0.0001 0.0001

0.0000 -0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0001 0.0000 0.0000

3 43 4

BB28
REQUE: Empezamos por el nudo 2.
BF33
REQUE: 6°
BK33
REQUE: 4°
Page 171: cortante deVIGAS 01.xlsx

0.0000 2.4600 -2.4600

2.5318 0.8593 -3.3911

3.4542 0.4561

0.0000 0.0000 -2.3575

0.0000 0.0000 -0.0001

-0.0001 -0.0001 0.0002

0.0001 0.0001 -0.0002

-0.0005 -0.0006 0.0007

0.0004 0.0006 -0.0010

-0.0024 -0.0029 0.0029

0.0019 0.0026 -0.0040

-0.0125 -0.0149 0.0136

0.0061 0.0098 -0.0181

-0.0463 -0.0548 0.0906

0.0182 0.0233 -0.1359

0.0917 0.1086 0.3822

0.0888 -0.6949

3.3090 0.3844 -1.9936

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.4216 3.4216

-0.7140 -1.4280 -1.3823

0.0753 0.0778 0.0389

0.1369 0.2738 0.2650

-0.0380 -0.0393 -0.0196

0.0325 0.0649 0.0628

-0.0103 -0.0106 -0.0053

0.0049 0.0098 0.0094

-0.0020 -0.0021 -0.0010

0.0011 0.0021 0.0020

-0.0004 -0.0004 -0.0002

0.0002 0.0005 0.0005

-0.0001 -0.0001 -0.0001

0.0001 0.0001 0.0001

0.0000 0.0000 0.0000

0.0244 -3.9347 2.3574 -1.0423

0.0122 -0.5212

0.0000 0.0001

-0.0001 0.0002

-0.0002 0.0010

-0.0010 0.0047

-0.0052 0.0314

-0.0190 0.1325

0.0377 -0.6911

78

1211

78

1211

BH70
REQUE: 8°
BK70
REQUE: 2°
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1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6153

K5-6 622.4385 0.3349 0.7455

K5-9 506.2500 0.2723 -0.0641

Σ 1858.8568 1.0000 0.0243

-0.0027

NUDO 6 I / L FD 0.0177

K6-2 730.1683 0.2950 -0.0023

K6-5 622.4385 0.2515 0.0023

K6-7 616.3758 0.2490 -0.0004

K6-10 506.2500 0.2045 0.0010

Σ 2475.2326 1.0000 -0.0001

0.0003

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.3369

11

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K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.8532

-0.0888

-0.0037

-0.0032

-0.0006

-0.0002

-0.0001

0.7566

0.3783

0.0000

-0.0001

-0.0003

-0.0016

-0.0019

-0.0444

0.4266

5

9

5

9

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CROSS PARA COMBINACION 4 - PORTICO 4

2 3 42.58 3.08 3.08

6 7 84.04 4.19 3.12

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.00 Tn-m M5-6 -3.13 Tn-m

2.00 Tn-m M6-5 3.13 Tn-m

-2.43 Tn-m M6-7 -3.31 Tn-m

2.43 Tn-m M7-6 3.31 Tn-m

-3.38 Tn-m M7-8 -3.42 Tn-m

3.38 Tn-m M8-7 3.42 Tn-m

COMBINACION 4 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.9963 1.9963 0.3708 -2.4349

0.6355 0.3178

0.0191 0.0382 0.0448 0.0378

0.0207 0.0103 -0.0547 0.2351

-0.0301 -0.0603 -0.0707 -0.0597

0.0151 0.0076 0.0019 0.0030

-0.0020 -0.0040 -0.0046 -0.0039

0.0020 0.0010 0.0033 0.0051

-0.0015 -0.0030 -0.0035 -0.0029

0.0009 0.0004 0.0012 0.0014

-0.0005 -0.0010 -0.0012 -0.0010

0.0003 0.0001 0.0003 0.0003

-0.0001 -0.0002 -0.0003 -0.0002

0.0001 0.0000 0.0001 0.0001

0.0000 0.0000 -0.0001 0.0000

-1.3369 0.0000 0.0000

1 21 2

BW33
REQUE: 5°
Page 177: cortante deVIGAS 01.xlsx

2.3033 -0.0835 -2.2198

-0.1136 -3.3361

1.4868 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0002 0.0001 0.0001

-0.0003 -0.0001 -0.0002

0.0005 0.0005 0.0004

-0.0009 -0.0006 -0.0008

0.0012 0.0024 0.0021

-0.0046 -0.0017 -0.0046

0.0089 0.0066 0.0056

-0.0054 -0.0023 -0.0177

0.0121 0.0038 0.0032

-0.1281 -0.0354 0.0771

0.3727 -0.1094 -0.0923

1.2306 0.0224 -3.3090

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.1328 3.1328

1.0490 0.5245

-0.0466 -0.0932 -0.0758

-0.1092 -0.0546

0.0016 0.0032 0.0026

-0.0046 -0.0023

0.0028 0.0056 0.0046

-0.0039 -0.0020

0.0010 0.0021 0.0017

-0.0007 -0.0004

0.0002 0.0004 0.0004

-0.0002 -0.0001

0.0001 0.0001 0.0001

-0.0001 0.0000

0.0000 0.0000 0.0000

-2.2434 3.5162 -0.0665

-0.0332

0.0000

0.0000

0.0002

0.0008

0.0023

0.0013

-0.0379

6

109

6

109

BT70
REQUE: 1° Nudo en ser equilibrado.
BW70
REQUE: 7°
Page 178: cortante deVIGAS 01.xlsx

109 109

Page 179: cortante deVIGAS 01.xlsx

COMBINACION 4 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4349 0.3906 -3.3821 3.3821 -0.9968

-0.4977 -0.9955 -1.3898

0.0189

0.4702 0.5569692296 0.3989 0.1995 0.1834

-0.0299 0.0913 -0.0799 -0.1598 -0.2231

0.0061 0.0072 0.0052 0.0026 0.0369

-0.0020 -0.0210 -0.0082 -0.0165 -0.0230

0.0103 0.0122 0.0087 0.0044 0.0045

-0.0015 -0.0054 -0.0018 -0.0037 -0.0052

0.0029 0.0034 0.0024 0.0012 0.0009

-0.0005 -0.0009 -0.0005 -0.0009 -0.0013

0.0006 0.0007 0.0005 0.0003 0.0002

-0.0001 -0.0002 -0.0001 -0.0002 -0.0003

0.0001 0.0002 0.0001 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000 -0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

BW28
REQUE: Empezamos por el nudo 2.
CA33
REQUE: 6°
CF33
REQUE: 4°
Page 180: cortante deVIGAS 01.xlsx

0.0000 2.4135 -2.4135

2.9101 0.6444 -3.5545

3.3761 0.4178

0.0000 0.0000 -2.3630

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0001 0.0001 -0.0001

-0.0003 -0.0004 0.0004

0.0002 0.0004 -0.0006

-0.0015 -0.0018 0.0019

0.0010 0.0017 -0.0026

-0.0092 -0.0108 0.0090

0.0028 0.0061 -0.0115

-0.0354 -0.0420 0.0737

0.0016 0.0036 -0.1115

0.1542 0.1826 0.3668

-0.0462 -0.6949

3.3090 0.2785 -1.9936

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.4216 3.4216

-0.7140 -1.4280 -1.3823

0.1266 0.1308 0.0654

0.1314 0.2627 0.2543

-0.0291 -0.0301 -0.0150

0.0264 0.0528 0.0511

-0.0075 -0.0078 -0.0039

0.0032 0.0064 0.0062

-0.0013 -0.0013 -0.0007

0.0007 0.0013 0.0013

-0.0003 -0.0003 -0.0001

0.0002 0.0003 0.0003

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.0884 -3.8824 2.3630 -1.0689

0.0442 -0.5345

0.0000 0.0000

-0.0001 0.0002

-0.0001 0.0007

-0.0006 0.0031

-0.0038 0.0256

-0.0145 0.1272

0.0633 -0.6911

78

1211

78

1211

CC70
REQUE: 8°
CF70
REQUE: 2°
Page 181: cortante deVIGAS 01.xlsx

1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.4615

K5-6 622.4385 0.3349 1.0398

K5-9 506.2500 0.2723 -0.1179

Σ 1858.8568 1.0000 0.0974

-0.0070

NUDO 6 I / L FD 0.0262

K6-2 730.1683 0.2950 -0.0025

K6-5 622.4385 0.2515 -0.0021

K6-7 616.3758 0.2490 0.0001

K6-10 506.2500 0.2045 -0.0003

Σ 2475.2326 1.0000 0.0000

0.0000

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.4953

11

Page 183: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.6400

-0.1635

-0.0098

-0.0035

0.0002

0.0001

0.0000

0.4635

0.2318

0.0000

0.0000

0.0001

-0.0017

-0.0049

-0.0817

0.3200

5

9

5

9

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Page 185: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5 - PORTICO 4

2 3 43.08 3.08 2.58

6 7 83.03 4.19 4.13

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.39 Tn-m M5-6 -2.35 Tn-m

2.39 Tn-m M6-5 2.35 Tn-m

-2.43 Tn-m M6-7 -3.31 Tn-m

2.43 Tn-m M7-6 3.31 Tn-m

-2.83 Tn-m M7-8 -4.53 Tn-m

2.83 Tn-m M8-7 4.53 Tn-m

COMBINACION 5 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.3877 2.3877 0.3708 -2.4349

0.8864 0.4432

-0.0626 -0.1252 -0.1468 -0.1240

0.0831 0.0415 0.0942 0.1268

-0.0415 -0.0830 -0.0974 -0.0822

0.0223 0.0112 -0.0151 -0.0363

0.0064 0.0127 0.0149 0.0126

-0.0018 -0.0009 -0.0004 -0.0018

0.0005 0.0010 0.0011 0.0010

-0.0003 -0.0001 0.0004 0.0000

0.0000 -0.0001 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-1.4953 0.0000 0.0000

1 21 2

CR33
REQUE: 5°
Page 186: cortante deVIGAS 01.xlsx

2.6880 -0.1491 -2.5389

0.0442 -2.9239

1.2491 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0000 0.0000

-0.0002 0.0000 0.0000

0.0003 0.0000 0.0001

-0.0010 0.0008 0.0006

-0.0050 0.0006 -0.0010

0.0131 -0.0008 -0.0006

-0.0141 0.0075 0.0011

0.0487 -0.0301 -0.0254

-0.2358 -0.0487 0.2513

0.5199 0.1885 0.1591

0.9231 -0.0734 -3.3090

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.3500 2.3500

0.7869 0.3935

0.0803 0.1607 0.1307

-0.2010 -0.1005

-0.0128 -0.0257 -0.0209

-0.0120 -0.0060

-0.0003 -0.0006 -0.0005

-0.0043 -0.0021

0.0003 0.0007 0.0005

0.0002 0.0001

0.0000 0.0000 0.0000

0.0001 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

-1.7126 2.7699 0.1098

0.0549

0.0000

0.0000

0.0000

0.0003

-0.0003

-0.0104

0.0653

6

109

6

109

CO70
REQUE: 1° Nudo en ser equilibrado.
CR70
REQUE: 7°
Page 187: cortante deVIGAS 01.xlsx

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COMBINACION 5 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.4349 0.3906 -2.8277 2.8277 -1.3199

-0.3146 -0.6293 -0.8786

-0.0620

0.2537 0.3005182442 0.2152 0.1076 0.0659

-0.0411 0.2977 -0.0362 -0.0724 -0.1011

-0.0726 -0.0861 -0.0616 -0.0308 0.0145

0.0063 0.0013 0.0034 0.0068 0.0095

-0.0036 -0.0043 -0.0031 -0.0015 -0.0011

0.0005 -0.0012 0.0006 0.0011 0.0016

0.0001 0.0001 0.0000 0.0000 -0.0002

0.0000 0.0001 0.0000 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

CR28
REQUE: Empezamos por el nudo 2.
CV33
REQUE: 6°
DA33
REQUE: 4°
Page 189: cortante deVIGAS 01.xlsx

0.0000 2.2094 -2.2094

2.5160 0.5080 -3.0240

3.8787 0.7008

0.0000 0.0000 -2.9661

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

0.0000 0.0000 0.0001

0.0001 0.0001 -0.0005

0.0003 0.0000 0.0008

-0.0020 -0.0024 -0.0023

-0.0003 -0.0022 0.0048

0.0022 0.0026 0.0289

-0.0127 -0.0430 -0.0505

0.5025 0.5953 0.1317

0.0796 -0.4393

3.3090 0.1503 -2.6397

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.5304 4.5304

-0.9454 -1.8907 -1.8302

0.4127 0.4264 0.2132

0.0472 0.0944 0.0913

0.0018 0.0019 0.0009

0.0104 0.0207 0.0200

-0.0017 -0.0017 -0.0009

-0.0008 -0.0016 -0.0016

0.0001 0.0001 0.0001

-0.0002 -0.0003 -0.0003

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.4130 -4.9926 2.9661 -1.7208

0.2065 -0.8604

0.0000 0.0000

0.0000 0.0000

0.0000 -0.0002

0.0000 -0.0008

-0.0008 0.0100

0.0009 0.0457

0.2064 -0.9151

78

1211

78

1211

CX70
REQUE: 8°
DA70
REQUE: 2°
Page 190: cortante deVIGAS 01.xlsx

1211 1211

Page 191: cortante deVIGAS 01.xlsx
Page 192: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 5 - 5

ESTADO 1: ESTADO PARA CARGA MUERTA ESTADO 1

3.42 T/m 3.42 T/m 3.42 T/m 0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m 4.12 T/m

2.60 m

2.64.40 T/m 4.02 T/m 4.40 T/m 1.40 T/m 1.40 T/m

4.40 T/m 4.02 T/m

3.75 m 5.81 T/m 5.42 T/m

3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 2: ESTADO PARA CARGA VIVA ESTADO 2

0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m

2.60 m

2.61.40 T/m 1.40 T/m 1.40 T/m

4.40 T/m 4.02 T/m

5.81 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 3: ESTADO PARA CARGA VIVA ESTADO 3

0.70 T/m 0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m

2.60 m

2.6

Page 193: cortante deVIGAS 01.xlsx

1.40 T/m 1.40 T/m

4.40 T/m 4.02 T/m

5.42 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 4: ESTADO PARA CARGA VIVA ESTADO 4

0.70 T/m 0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m

2.60 m

2.60 m

1.40 T/m 1.40 T/m 1.40 T/m 1.40 T/m

4.40 T/m 4.02 T/m

5.81 T/m 5.42 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 5: ESTADO PARA CARGA VIVA ESTADO 5

0.70 T/m 0.70 T/m 0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m 4.12 T/m

2.60 m

2.60 m

1.40 T/m 1.40 T/m 1.40 T/m

4.40 T/m 4.02 T/m

5.42 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

Page 194: cortante deVIGAS 01.xlsx

0.70 T/m

3.42 T/m

4.12 T/m

1.40 T/m

4.40 T/m

5.81 T/m

C D

3.63 m

ESTADO 2

3.42 T/m

1.40 T/m

4.40 T/m

5.81 T/m

C D3.63 m

ESTADO 3

0.70 T/m

3.42 T/m

4.12 T/m

Page 195: cortante deVIGAS 01.xlsx

4.40 T/m

C D3.63 m

ESTADO 4

0.70 T/m

3.42 T/m

4.12 T/m

4.40 T/m

C D3.63 m

ESTADO 5

3.42 T/m

1.40 T/m

4.40 T/m

5.81 T/m

C D3.63 m

Page 196: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 5

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 4.12

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

5.81

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 1 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -3.20 Tn-m

K2-1 622.44 0.3161 M2-1 3.20 Tn-m

K2-3 616.3758 0.3130 M2-3 -3.26 Tn-m

K2-6 730.1683 0.3708 M3-2 3.26 Tn-m

Σ 1968.9826 1.0000 M3-4 -4.53 Tn-m

M4-3 4.53 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.8841 -3.1952

K5-6 622.4385 0.3349 1.2476 1.0635

K5-9 506.2500 0.2723 -0.1008 -0.0741

Σ 1858.8568 1.0000 0.0944 0.0805

-0.0023 -0.0353

NUDO 6 I / L FD 0.0203 0.0173

K6-2 730.1683 0.2950 -0.0016 0.0148

K6-5 622.4385 0.2515 -0.0072 -0.0061

K6-7 616.3758 0.2490 0.0007 0.0014

K6-10 506.2500 0.2045 -0.0011 -0.0010

Σ 2475.2326 1.0000 0.0001 0.0000

-0.0001 -0.0001

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 2.1341 -2.1341

1

Page 197: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 2.2374

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 0.0000

0.0003

-0.0006

0.0013

-0.0036

-0.0031

0.0101

-0.0046

0.0472

-0.2016

0.6238

1.7682

0.2723 0.3928

0.3349

-4.5014

1.2259 1.5073

-0.1106

-0.1398 -0.1718

-0.0355

-0.0032 -0.0039

-0.0022

-0.0022 -0.0027

0.0002

0.0009 0.0011

-0.0001

0.0002 0.0002

0.0000

0.0000 0.0000

0.0000

1.0819 -3.3193

0.5410

0.0000

0.0001

0.0005

-0.0011

-0.0016

-0.0699

0.6130

5

9

H70
REQUE: 1° Nudo en ser equilibrado.
Page 198: cortante deVIGAS 01.xlsx

9

Page 199: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 5

2 3 44.12 4.12

6 7 85.42 5.81

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -4.50 Tn-m

M6-5 4.50 Tn-m

M6-7 -4.29 Tn-m

M7-6 4.29 Tn-m

M7-8 -6.38 Tn-m

M8-7 6.38 Tn-m

COMBINACION 1 - DEARROLLO DEL CROSS

0.3161 0.3130

3.1952 0.3708 -3.2584 3.2584

0.5318

-0.1481 -0.1738 -0.1467 -0.0733

0.0402 -0.1298 0.3128 0.6257

-0.0706 -0.0828 -0.0699 -0.0350

0.0087 -0.0416 -0.0608 -0.1216

0.0296 0.0348 0.0293 0.0147

-0.0031 -0.0026 -0.0035 -0.0070

0.0029 0.0034 0.0029 0.0014

-0.0005 0.0003 0.0001 0.0001

0.0001 0.0001 0.0001 0.0000

0.0000 -0.0001 0.0000 -0.0001

0.0001 0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

2

K33
REQUE: 5°
O33
REQUE: 6°
Page 200: cortante deVIGAS 01.xlsx

3.5862 -0.3921 -3.1941

3.6634

-0.4568 -4.1721

0.0000

0.0000 0.0000

0.0000 0.0000

-0.0001 0.0000

0.0000 0.0000

-0.0002 -0.0002

0.0000 0.0001

0.0005 0.0005

0.0017 -0.0022

-0.0052 -0.0044

0.0174 0.0023

-0.0833 -0.0703

-0.0414 0.4096

-0.2595 -0.2191

-0.0869 -4.2884

0.2950 0.2490

0.2515 0.2045

4.5014

0.7536

-0.2212 -0.1799

-0.0859

-0.0710 -0.0577

-0.0020

-0.0044 -0.0036

-0.0013

0.0005 0.0004

0.0006

-0.0002 -0.0001

0.0001

0.0000 0.0000

0.0000

0.0000 0.0000

4.8701 -0.2411

-0.1205

0.0000

0.0000

-0.0001

0.0002

-0.0018

-0.0289

-0.0900

6

10

K70
REQUE: 7°
Page 201: cortante deVIGAS 01.xlsx

10

Page 202: cortante deVIGAS 01.xlsx

COMBINACION 1 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

0.3906 -4.5260 4.5260 -1.8576

-0.5568 -1.1136 -1.5548

0.7411952661 0.5309 0.2654 0.1252

0.4852 -0.0815 -0.1630 -0.2276

-0.1440 -0.1031 -0.0516 0.0326

0.0027 0.0040 0.0079 0.0111

-0.0083 -0.0060 -0.0030 -0.0011

-0.0026 0.0008 0.0017 0.0024

0.0001 0.0001 0.0000 -0.0004

0.0001 0.0001 0.0001 0.0002

-0.0001 0.0000 0.0000 0.0000

0.0001 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

3 4

K28
REQUE: Empezamos por el nudo 2.
T33
REQUE: 4°
Page 203: cortante deVIGAS 01.xlsx

0.0000 3.4700 -3.4700

1.0743 -4.7376

4.9611 1.2652

0.0000 0.0000 -4.2868

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

-0.0001 0.0000 0.0001

0.0001 0.0001 -0.0007

0.0002 0.0001 0.0012

-0.0044 -0.0052 -0.0021

-0.0022 -0.0042 0.0055

0.0045 0.0054 0.0652

-0.0351 -0.0720 -0.1138

0.8191 0.9703 0.2505

-0.1095 -0.7774

4.2884 0.3706 -3.7151

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-6.3761 6.3761

-1.3305 -2.6610 -2.5758

0.6728 0.6950 0.3475

0.0897 0.1794 0.1737

0.0037 0.0038 0.0019

0.0233 0.0467 0.0452

-0.0036 -0.0037 -0.0019

-0.0008 -0.0015 -0.0015

0.0001 0.0001 0.0001

-0.0003 -0.0005 -0.0005

0.0001 0.0001 0.0000

0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.6731 -6.8993 4.2868 -2.3590

0.3365 -1.1795

0.0000 0.0000

0.0000 0.0000

0.0000 -0.0002

0.0001 -0.0007

-0.0018 0.0226

0.0019 0.0868

0.3364 -1.2879

78

1211

Q70
REQUE: 8°
T70
REQUE: 2°
Page 204: cortante deVIGAS 01.xlsx

1211

Page 205: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.8841

K5-6 622.4385 0.3349 0.9538

K5-9 506.2500 0.2723 -0.0415

Σ 1858.8568 1.0000 0.0052

0.0142

NUDO 6 I / L FD -0.0220

K6-2 730.1683 0.2950 0.0041

K6-5 622.4385 0.2515 -0.0205

K6-7 616.3758 0.2490 0.0023

K6-10 506.2500 0.2045 -0.0042

Σ 2475.2326 1.0000 0.0005

-0.0008

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 -0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.7753

11

Page 206: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

1.2259

-0.0575

0.0197

0.0057

0.0032

0.0007

0.0001

1.1979

0.5989

0.0001

0.0004

0.0016

0.0028

0.0098

-0.0287

0.6130

5

9

5

9

Page 207: cortante deVIGAS 01.xlsx

99

Page 208: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2 - PORTICO 5

2 3 43.42 4.12 3.42

6 7 85.81 4.02 5.81

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.65 Tn-m M5-6 -4.50 Tn-m

2.65 Tn-m M6-5 4.50 Tn-m

-3.26 Tn-m M6-7 -3.18 Tn-m

3.26 Tn-m M7-6 3.18 Tn-m

-3.76 Tn-m M7-8 -6.38 Tn-m

3.76 Tn-m M8-7 6.38 Tn-m

COMBINACION 2 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.6509 2.6509 0.3708 -3.2584

0.8131 0.4065

0.0318 0.0635 0.0745 0.0629

0.0045 0.0022 -0.3118 0.1420

0.0265 0.0530 0.0622 0.0525

-0.0187 -0.0094 -0.0878 -0.1169

0.0338 0.0677 0.0794 0.0670

-0.0175 -0.0087 -0.0115 -0.0139

0.0054 0.0108 0.0127 0.0107

-0.0036 -0.0018 -0.0019 -0.0022

0.0009 0.0018 0.0022 0.0018

-0.0007 -0.0003 -0.0007 -0.0005

0.0002 0.0005 0.0006 0.0005

-0.0001 -0.0001 -0.0002 -0.0001

0.0001 0.0001 0.0001 0.0001

-1.7752 0.0000 0.0000

1 21 2

AG33
REQUE: 5°
Page 209: cortante deVIGAS 01.xlsx

3.2369 -0.1823 -3.0546

-0.7120 -3.2462

2.1835 0.0000

-0.0001 -0.0001

0.0002 0.0001 0.0001

-0.0004 -0.0003 -0.0003

0.0010 0.0003 0.0003

-0.0021 -0.0013 -0.0011

0.0047 0.0011 0.0014

-0.0102 -0.0038 -0.0032

0.0082 0.0063 0.0030

-0.0110 -0.0231 -0.0195

0.0284 0.0397 0.0264

0.0026 -0.1757 -0.1483

-0.0829 0.0311 0.5997

0.4769 -0.6236 -0.5264

1.7682 0.0373 -3.1783

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-4.5014 4.5014

1.5073 0.7536

-0.2658 -0.5316 -0.4324

-0.0707 -0.0353

-0.0749 -0.1497 -0.1218

0.0242 0.0121

-0.0098 -0.0197 -0.0160

0.0070 0.0035

-0.0016 -0.0032 -0.0026

0.0040 0.0020

-0.0006 -0.0011 -0.0009

0.0009 0.0004

-0.0001 -0.0003 -0.0002

0.0002 0.0001

0.0000 -0.0001 0.0000

-3.3814 4.5321 -0.5739

-0.2870

0.0000

-0.0001

-0.0005

-0.0013

-0.0080

-0.0609

-0.2162

6

109

6

109

AD70
REQUE: 1° Nudo en ser equilibrado.
AG70
REQUE: 7°
Page 210: cortante deVIGAS 01.xlsx

109 109

Page 211: cortante deVIGAS 01.xlsx

COMBINACION 2 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

3.2584 0.3906 -3.7550 3.7550 -1.8576

-0.3959 -0.7919 -1.1056

0.0314

0.2839 0.3363285673 0.2409 0.1204 0.0128

0.0262 0.7105 -0.0278 -0.0556 -0.0776

-0.2337 -0.2769 -0.1983 -0.0992 0.0048

0.0335 0.0313 0.0197 0.0394 0.0550

-0.0278 -0.0330 -0.0236 -0.0118 -0.0087

0.0053 0.0035 0.0043 0.0086 0.0120

-0.0043 -0.0051 -0.0037 -0.0018 -0.0021

0.0009 0.0016 0.0008 0.0016 0.0023

-0.0011 -0.0013 -0.0009 -0.0005 -0.0004

0.0002 0.0004 0.0002 0.0004 0.0005

-0.0003 -0.0003 -0.0002 -0.0001 -0.0001

0.0001 0.0001 0.0000 0.0001 0.0001

-0.0001 -0.0001 0.0000 0.0000

3 43 4

AG28
REQUE: Empezamos por el nudo 2.
AK33
REQUE: 6°
AP33
REQUE: 4°
Page 212: cortante deVIGAS 01.xlsx

0.0000 2.9647 -2.9647

3.3727 0.7670 -4.1396

4.0907 1.5045

0.0000 0.0000 -4.2593

0.0000 0.0000 0.0001

0.0002 0.0002 -0.0002

-0.0001 -0.0002 0.0003

0.0007 0.0008 -0.0008

-0.0005 -0.0007 0.0011

0.0027 0.0032 -0.0042

-0.0016 -0.0026 0.0060

0.0059 0.0070 -0.0175

-0.0097 -0.0165 0.0275

0.0528 0.0625 0.0096

-0.0741 -0.1384 -0.0388

1.1995 1.4209 0.0256

-0.2632 -0.5528

3.1783 0.1682 -3.7151

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-6.3761 6.3761

-1.3305 -2.6610 -2.5758

0.9852 1.0178 0.5089

0.0092 0.0183 0.0177

0.0433 0.0448 0.0224

0.0034 0.0069 0.0066

0.0049 0.0050 0.0025

-0.0063 -0.0125 -0.0121

0.0022 0.0023 0.0011

-0.0015 -0.0030 -0.0029

0.0006 0.0006 0.0003

-0.0003 -0.0006 -0.0006

0.0001 0.0001 0.0001

-0.0001 -0.0001 -0.0001

0.0000 0.0000 0.0000

1.0363 -6.6315 4.2594 -2.5672

0.5182 -1.2836

0.0000 -0.0001

0.0001 -0.0003

0.0003 -0.0014

0.0011 -0.0061

0.0024 0.0033

0.0217 0.0089

0.4926 -1.2879

78

1211

78

1211

AM70
REQUE: 8°
AP70
REQUE: 2°
Page 213: cortante deVIGAS 01.xlsx

1211 1211

Page 214: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6703

K5-6 622.4385 0.3349 1.3630

K5-9 506.2500 0.2723 -0.1463

Σ 1858.8568 1.0000 0.1705

-0.0194

NUDO 6 I / L FD 0.0601

K6-2 730.1683 0.2950 -0.0072

K6-5 622.4385 0.2515 0.0083

K6-7 616.3758 0.2490 -0.0012

K6-10 506.2500 0.2045 0.0023

Σ 2475.2326 1.0000 -0.0003

0.0007

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 2.1010

11

Page 215: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.9295

-0.2028

-0.0268

-0.0099

-0.0017

-0.0004

-0.0001

0.6876

0.3438

-0.0001

-0.0002

-0.0009

-0.0050

-0.0134

-0.1014

0.4647

5

9

5

9

Page 216: cortante deVIGAS 01.xlsx

99

Page 217: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3 - PORTICO 5

2 3 44.12 3.42 4.12

6 7 84.40 5.42 4.40

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-3.20 Tn-m M5-6 -3.41 Tn-m

3.20 Tn-m M6-5 3.41 Tn-m

-2.70 Tn-m M6-7 -4.29 Tn-m

2.70 Tn-m M7-6 4.29 Tn-m

-4.53 Tn-m M7-8 -4.83 Tn-m

4.53 Tn-m M8-7 4.83 Tn-m

COMBINACION 3 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-3.1952 3.1952 0.3708 -2.7033

1.1619 0.5810

-0.1696 -0.3391 -0.3978 -0.3358

0.1453 0.0727 0.0742 0.4354

-0.0920 -0.1841 -0.2159 -0.1823

0.0513 0.0256 0.0156 0.0110

-0.0083 -0.0165 -0.0194 -0.0164

0.0071 0.0036 0.0076 0.0085

-0.0031 -0.0062 -0.0073 -0.0062

0.0020 0.0010 0.0025 0.0025

-0.0010 -0.0019 -0.0022 -0.0019

0.0006 0.0003 0.0005 0.0005

-0.0002 -0.0004 -0.0005 -0.0004

0.0001 0.0000 0.0001 0.0001

0.0000 -0.0001 -0.0001 -0.0001

-2.1011 0.0000 0.0000

1 21 2

BB33
REQUE: 5°
Page 218: cortante deVIGAS 01.xlsx

3.3310 -0.5427 -2.7883

-0.1204 -4.0261

1.7942 0.0000

0.0001 0.0000

-0.0002 -0.0001 -0.0001

0.0003 0.0002 0.0002

-0.0006 -0.0003 -0.0003

0.0012 0.0010 0.0009

-0.0025 -0.0011 -0.0014

0.0042 0.0051 0.0043

-0.0143 -0.0036 -0.0075

0.0301 0.0151 0.0128

-0.0387 -0.0097 -0.0251

0.0852 0.0313 0.0264

-0.2925 -0.1080 0.1266

0.6815 0.1484 0.1253

1.3406 -0.1989 -4.2884

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.4128 3.4128

1.1428 0.5714

0.0633 0.1265 0.1029

-0.2494 -0.1247

0.0133 0.0267 0.0217

-0.0330 -0.0165

0.0064 0.0129 0.0105

-0.0122 -0.0061

0.0022 0.0043 0.0035

-0.0021 -0.0011

0.0004 0.0009 0.0007

-0.0005 -0.0003

0.0001 0.0002 0.0002

-0.0001 -0.0001

0.0000 0.0000 0.0000

-2.4817 4.0070 0.1395

0.0698

0.0000

0.0001

0.0004

0.0018

0.0052

0.0108

0.0514

6

109

6

109

AY70
REQUE: 1° Nudo en ser equilibrado.
BB70
REQUE: 7°
Page 219: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 3 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.7033 0.3906 -4.5260 4.5260 -1.4084

-0.6505 -1.3011 -1.8165

-0.1679

0.8708 1.0315173022 0.7388 0.3694 0.2333

-0.0911 0.1500 -0.1258 -0.2515 -0.3512

0.0221 0.0261 0.0187 0.0094 0.0574

-0.0082 -0.0297 -0.0139 -0.0278 -0.0389

0.0171 0.0202 0.0145 0.0072 0.0075

-0.0031 -0.0088 -0.0031 -0.0062 -0.0086

0.0049 0.0059 0.0042 0.0021 0.0016

-0.0009 -0.0016 -0.0008 -0.0015 -0.0021

0.0011 0.0013 0.0009 0.0005 0.0004

-0.0002 -0.0003 -0.0002 -0.0004 -0.0005

0.0002 0.0003 0.0002 0.0001 0.0001

0.0000 -0.0001 0.0000 -0.0001 -0.0001

0.0001 0.0001 0.0000 0.0000

3 43 4

BB28
REQUE: Empezamos por el nudo 2.
BF33
REQUE: 6°
BK33
REQUE: 4°
Page 221: cortante deVIGAS 01.xlsx

0.0000 3.3261 -3.3261

3.3481 1.1948 -4.5429

4.5580 0.7615

0.0000 0.0000 -3.3252

0.0000 0.0000 -0.0001

-0.0001 -0.0002 0.0002

0.0001 0.0001 -0.0002

-0.0006 -0.0007 0.0008

0.0004 0.0006 -0.0011

-0.0027 -0.0032 0.0032

0.0021 0.0029 -0.0043

-0.0149 -0.0177 0.0150

0.0064 0.0101 -0.0194

-0.0502 -0.0594 0.1147

0.0132 0.0131 -0.1756

0.2533 0.3000 0.4666

0.0626 -0.9083

4.2884 0.5158 -2.8167

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.8342 4.8342

-1.0087 -2.0175 -1.9529

0.2080 0.2149 0.1074

0.1671 0.3342 0.3235

-0.0412 -0.0426 -0.0213

0.0411 0.0822 0.0795

-0.0123 -0.0127 -0.0063

0.0054 0.0108 0.0104

-0.0022 -0.0023 -0.0012

0.0011 0.0023 0.0022

-0.0005 -0.0005 -0.0002

0.0003 0.0006 0.0005

-0.0001 -0.0001 -0.0001

0.0001 0.0001 0.0001

0.0000 0.0000 0.0000

0.1517 -5.4712 3.3252 -1.5366

0.0758 -0.7683

0.0000 0.0001

-0.0001 0.0003

-0.0002 0.0011

-0.0011 0.0052

-0.0061 0.0398

-0.0206 0.1618

0.1040 -0.9765

78

1211

78

1211

BH70
REQUE: 8°
BK70
REQUE: 2°
Page 222: cortante deVIGAS 01.xlsx

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.8841

K5-6 622.4385 0.3349 0.9538

K5-9 506.2500 0.2723 -0.0689

Σ 1858.8568 1.0000 0.0200

0.0000

NUDO 6 I / L FD 0.0146

K6-2 730.1683 0.2950 -0.0018

K6-5 622.4385 0.2515 -0.0005

K6-7 616.3758 0.2490 -0.0001

K6-10 506.2500 0.2045 0.0006

Σ 2475.2326 1.0000 -0.0001

0.0003

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.8020

11

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K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

1.2259

-0.0955

0.0000

-0.0025

-0.0002

-0.0001

-0.0001

1.1276

0.5638

0.0000

-0.0001

-0.0001

-0.0012

0.0000

-0.0478

0.6130

5

9

5

9

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CROSS PARA COMBINACION 4 - PORTICO 5

2 3 43.42 4.12 4.12

6 7 85.81 5.42 4.40

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.65 Tn-m M5-6 -4.50 Tn-m

2.65 Tn-m M6-5 4.50 Tn-m

-3.26 Tn-m M6-7 -4.29 Tn-m

3.26 Tn-m M7-6 4.29 Tn-m

-4.53 Tn-m M7-8 -4.83 Tn-m

4.53 Tn-m M8-7 4.83 Tn-m

COMBINACION 4 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.6509 2.6509 0.3708 -3.2584

0.8131 0.4065

0.0318 0.0635 0.0745 0.0629

0.0171 0.0085 -0.1481 0.3110

-0.0271 -0.0542 -0.0636 -0.0537

0.0125 0.0062 -0.0117 -0.0121

0.0028 0.0055 0.0065 0.0055

-0.0005 -0.0002 0.0021 0.0042

-0.0010 -0.0019 -0.0023 -0.0019

0.0005 0.0003 0.0011 0.0014

-0.0004 -0.0009 -0.0010 -0.0009

0.0002 0.0001 0.0002 0.0003

-0.0001 -0.0002 -0.0002 -0.0002

0.0000 0.0000 0.0000 0.0001

0.0000 0.0000 0.0000 0.0000

-1.8021 0.0000 0.0000

1 21 2

BW33
REQUE: 5°
Page 227: cortante deVIGAS 01.xlsx

3.0842 -0.1424 -2.9417

-0.3057 -4.4057

2.1207 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0001 0.0001 0.0001

-0.0002 -0.0001 -0.0001

0.0003 0.0004 0.0003

-0.0003 -0.0005 -0.0007

-0.0003 0.0023 0.0019

-0.0036 -0.0011 -0.0051

0.0073 0.0042 0.0036

0.0000 0.0033 -0.0175

0.0100 -0.0235 -0.0198

-0.1377 -0.0318 0.1701

0.4769 -0.2961 -0.2500

1.7682 0.0373 -4.2884

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-4.5014 4.5014

1.5073 0.7536

-0.1262 -0.2524 -0.2053

-0.1174 -0.0587

-0.0100 -0.0200 -0.0163

0.0000 0.0000

0.0018 0.0036 0.0029

-0.0031 -0.0015

0.0010 0.0020 0.0016

-0.0002 -0.0001

0.0002 0.0003 0.0003

-0.0002 -0.0001

0.0000 0.0001 0.0001

-0.0001 0.0000

0.0000 0.0000 0.0000

-3.2482 4.9281 -0.2167

-0.1084

0.0000

0.0000

0.0001

0.0008

0.0015

-0.0081

-0.1027

6

109

6

109

BT70
REQUE: 1° Nudo en ser equilibrado.
BW70
REQUE: 7°
Page 228: cortante deVIGAS 01.xlsx

109 109

Page 229: cortante deVIGAS 01.xlsx

COMBINACION 4 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

3.2584 0.3906 -4.5260 4.5260 -1.4084

-0.6505 -1.3011 -1.8165

0.0314

0.6220 0.736877137 0.5278 0.2639 0.2226

-0.0268 0.2015 -0.1015 -0.2030 -0.2834

-0.0241 -0.0286 -0.0205 -0.0102 0.0456

0.0027 -0.0208 -0.0074 -0.0148 -0.0206

0.0084 0.0099 0.0071 0.0036 0.0043

-0.0010 -0.0061 -0.0016 -0.0033 -0.0046

0.0028 0.0034 0.0024 0.0012 0.0008

-0.0004 -0.0009 -0.0004 -0.0009 -0.0012

0.0006 0.0007 0.0005 0.0002 0.0002

-0.0001 -0.0002 -0.0001 -0.0002 -0.0003

0.0001 0.0001 0.0001 0.0001 0.0000

0.0000 0.0000 0.0000 0.0000 -0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

BW28
REQUE: Empezamos por el nudo 2.
CA33
REQUE: 6°
CF33
REQUE: 4°
Page 230: cortante deVIGAS 01.xlsx

0.0000 3.2615 -3.2615

3.8741 0.8960 -4.7701

4.4494 0.7083

0.0000 0.0000 -3.3329

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0000 0.0001 -0.0001

-0.0003 -0.0003 0.0004

0.0002 0.0003 -0.0006

-0.0015 -0.0018 0.0017

0.0010 0.0017 -0.0023

-0.0102 -0.0121 0.0085

0.0018 0.0050 -0.0103

-0.0351 -0.0416 0.0912

-0.0099 -0.0143 -0.1417

0.3402 0.4030 0.4451

-0.1250 -0.9083

4.2884 0.3684 -2.8167

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.8342 4.8342

-1.0087 -2.0175 -1.9529

0.2794 0.2886 0.1443

0.1594 0.3188 0.3086

-0.0288 -0.0298 -0.0149

0.0327 0.0654 0.0633

-0.0084 -0.0087 -0.0043

0.0031 0.0061 0.0059

-0.0012 -0.0013 -0.0006

0.0006 0.0012 0.0012

-0.0002 -0.0002 -0.0001

0.0002 0.0003 0.0003

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.2407 -5.3984 3.3329 -1.5736

0.1203 -0.7868

0.0000 0.0000

-0.0001 0.0001

-0.0001 0.0006

-0.0006 0.0030

-0.0042 0.0316

-0.0144 0.1543

0.1397 -0.9765

78

1211

78

1211

CC70
REQUE: 8°
CF70
REQUE: 2°
Page 231: cortante deVIGAS 01.xlsx

1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.6703

K5-6 622.4385 0.3349 1.3630

K5-9 506.2500 0.2723 -0.1437

Σ 1858.8568 1.0000 0.1218

-0.0060

NUDO 6 I / L FD 0.0264

K6-2 730.1683 0.2950 -0.0021

K6-5 622.4385 0.2515 -0.0066

K6-7 616.3758 0.2490 0.0007

K6-10 506.2500 0.2045 -0.0013

Σ 2475.2326 1.0000 0.0002

-0.0002

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 2.0223

11

Page 233: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.9295

-0.1993

-0.0084

-0.0029

0.0009

0.0002

0.0000

0.7200

0.3600

0.0000

0.0001

0.0005

-0.0015

-0.0042

-0.0997

0.4647

5

9

5

9

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99

Page 235: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5 - PORTICO 5

2 3 44.12 4.12 3.42

6 7 84.40 5.42 5.81

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-3.20 Tn-m M5-6 -3.41 Tn-m

3.20 Tn-m M6-5 3.41 Tn-m

-3.26 Tn-m M6-7 -4.29 Tn-m

3.26 Tn-m M7-6 4.29 Tn-m

-3.76 Tn-m M7-8 -6.38 Tn-m

3.76 Tn-m M8-7 6.38 Tn-m

COMBINACION 5 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-3.1952 3.1952 0.3708 -3.2584

1.1619 0.5810

-0.0818 -0.1637 -0.1920 -0.1621

0.1038 0.0519 0.0590 0.1605

-0.0429 -0.0858 -0.1007 -0.0850

0.0225 0.0113 -0.0353 -0.0668

0.0144 0.0287 0.0337 0.0284

-0.0056 -0.0028 -0.0030 -0.0055

0.0018 0.0036 0.0042 0.0035

-0.0011 -0.0006 0.0000 -0.0005

0.0002 0.0004 0.0004 0.0004

-0.0002 -0.0001 -0.0002 -0.0002

0.0001 0.0001 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-2.0223 0.0000 0.0000

1 21 2

CR33
REQUE: 5°
Page 236: cortante deVIGAS 01.xlsx

3.6192 -0.2337 -3.3855

-0.0862 -3.8325

1.7900 0.0000

0.0000 0.0000

0.0001 0.0000 0.0000

-0.0001 -0.0001 -0.0001

0.0003 0.0001 0.0001

-0.0007 -0.0003 -0.0003

0.0013 0.0002 0.0004

-0.0033 0.0000 0.0000

-0.0042 0.0021 -0.0002

0.0132 -0.0060 -0.0051

-0.0121 0.0168 0.0086

0.0609 -0.0706 -0.0596

-0.2875 -0.0503 0.4123

0.6815 0.1180 0.0996

1.3406 -0.0960 -4.2884

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-3.4128 3.4128

1.1428 0.5714

0.0503 0.1006 0.0818

-0.2450 -0.1225

-0.0301 -0.0602 -0.0490

-0.0103 -0.0052

-0.0026 -0.0051 -0.0042

-0.0036 -0.0018

0.0000 0.0000 0.0000

0.0011 0.0006

-0.0001 -0.0003 -0.0002

0.0003 0.0001

0.0000 -0.0001 -0.0001

0.0000 0.0000

0.0000 0.0000 0.0000

-2.5101 3.8903 0.0284

0.0142

0.0000

0.0000

-0.0001

0.0000

-0.0021

-0.0245

0.0409

6

109

6

109

CO70
REQUE: 1° Nudo en ser equilibrado.
CR70
REQUE: 7°
Page 237: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 5 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

3.2584 0.3906 -3.7550 3.7550 -1.8576

-0.3959 -0.7919 -1.1056

-0.0810

0.3210 0.3802634772 0.2724 0.1362 0.0591

-0.0425 0.4884 -0.0408 -0.0815 -0.1138

-0.1336 -0.1582 -0.1133 -0.0567 0.0144

0.0142 0.0102 0.0088 0.0176 0.0246

-0.0110 -0.0130 -0.0093 -0.0047 -0.0035

0.0018 -0.0002 0.0017 0.0034 0.0048

-0.0011 -0.0013 -0.0009 -0.0005 -0.0008

0.0002 0.0005 0.0003 0.0005 0.0007

-0.0003 -0.0004 -0.0003 -0.0001 -0.0001

0.0001 0.0001 0.0001 0.0001 0.0002

-0.0001 -0.0001 -0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

CR28
REQUE: Empezamos por el nudo 2.
CV33
REQUE: 6°
DA33
REQUE: 4°
Page 239: cortante deVIGAS 01.xlsx

0.0000 2.9776 -2.9776

3.3260 0.7064 -4.0324

5.1483 1.1018

0.0000 0.0000 -4.1715

0.0000 0.0000 0.0000

0.0000 0.0001 -0.0001

0.0000 -0.0001 0.0001

0.0002 0.0003 -0.0003

-0.0001 -0.0002 0.0004

0.0008 0.0010 -0.0016

0.0000 -0.0006 0.0024

-0.0003 -0.0004 -0.0071

-0.0025 -0.0065 0.0123

0.0173 0.0205 0.0289

-0.0298 -0.0791 -0.0569

0.8246 0.9768 0.1183

0.0498 -0.5528

4.2884 0.1901 -3.7151

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-6.3761 6.3761

-1.3305 -2.6610 -2.5758

0.6773 0.6996 0.3498

0.0424 0.0847 0.0820

0.0142 0.0147 0.0073

0.0103 0.0207 0.0200

-0.0003 -0.0003 -0.0001

-0.0025 -0.0051 -0.0049

0.0007 0.0007 0.0004

-0.0006 -0.0011 -0.0011

0.0002 0.0002 0.0001

-0.0001 -0.0002 -0.0002

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.6921 -6.9422 4.1716 -2.4801

0.3461 -1.2400

0.0000 0.0000

0.0000 -0.0001

0.0001 -0.0006

0.0003 -0.0025

-0.0001 0.0100

0.0071 0.0410

0.3386 -1.2879

78

1211

78

1211

CX70
REQUE: 8°
DA70
REQUE: 2°
Page 240: cortante deVIGAS 01.xlsx

1211 1211

Page 241: cortante deVIGAS 01.xlsx
Page 242: cortante deVIGAS 01.xlsx

COMBINACION DE CARGAS

PORTICO PRINCIPAL 6 - 6

ESTADO 1: ESTADO PARA CARGA MUERTA ESTADO 1

2.41 T/m 2.41 T/m 2.41 T/m 0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m 2.79 T/m

2.60 m

2.63.02 T/m 3.02 T/m 3.02 T/m 0.76 T/m 0.76 T/m

3.02 T/m 3.02 T/m

3.75 m 3.78 T/m 3.77 T/m

3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 2: ESTADO PARA CARGA VIVA ESTADO 2

0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m

2.60 m

2.60.76 T/m 0.76 T/m 0.76 T/m

3.02 T/m 3.02 T/m

3.78 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 3: ESTADO PARA CARGA VIVA ESTADO 3

0.38 T/m 0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m

2.60 m

2.6

Page 243: cortante deVIGAS 01.xlsx

0.76 T/m 0.76 T/m

3.02 T/m 3.02 T/m

3.77 T/m

3.75 m 3.75

A B C D3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 4: ESTADO PARA CARGA VIVA ESTADO 4

0.38 T/m 0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m

2.60 m

2.60 m

0.76 T/m 0.76 T/m 0.76 T/m 0.76 T/m

3.02 T/m 3.02 T/m

3.78 T/m 3.77 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

ESTADO 5: ESTADO PARA CARGA VIVA ESTADO 5

0.38 T/m 0.38 T/m 0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m 2.79 T/m

2.60 m

2.60 m

0.76 T/m 0.76 T/m 0.76 T/m

3.02 T/m 3.02 T/m

3.77 T/m

3.75 m 3.75 m

A B C D

3.05 m 3.08 m 3.63 m A B

3.05 m 3.08 m

Page 244: cortante deVIGAS 01.xlsx

0.38 T/m

2.41 T/m

2.79 T/m

0.76 T/m

3.02 T/m

3.77 T/m

C D

3.63 m

ESTADO 2

2.41 T/m

0.76 T/m

3.02 T/m

3.77 T/m

C D3.63 m

ESTADO 3

0.38 T/m

2.41 T/m

2.79 T/m

Page 245: cortante deVIGAS 01.xlsx

3.02 T/m

C D3.63 m

ESTADO 4

0.38 T/m

2.41 T/m

2.79 T/m

3.02 T/m

C D3.63 m

ESTADO 5

2.41 T/m

0.76 T/m

3.02 T/m

3.77 T/m

C D3.63 m

Page 246: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 6

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75 2.79

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

3.78

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398 3.05

Σ 1352.6068 1.0000

ESTADO 1 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -2.17 Tn-m

K2-1 622.44 0.3161 M2-1 2.17 Tn-m

K2-3 616.3758 0.3130 M2-3 -2.21 Tn-m

K2-6 730.1683 0.3708 M3-2 2.21 Tn-m

Σ 1968.9826 1.0000 M3-4 -3.07 Tn-m

M4-3 3.07 Tn-m

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398 0.4602

K5-1 730.1683 0.3928 0.5751 -2.1656

K5-6 622.4385 0.3349 0.8586 0.7319

K5-9 506.2500 0.2723 -0.0750 -0.0511

Σ 1858.8568 1.0000 0.0681 0.0580

-0.0033 -0.0297

NUDO 6 I / L FD 0.0178 0.0152

K6-2 730.1683 0.2950 -0.0017 0.0070

K6-5 622.4385 0.2515 -0.0029 -0.0025

K6-7 616.3758 0.2490 0.0002 0.0004

K6-10 506.2500 0.2045 -0.0003 -0.0003

Σ 2475.2326 1.0000 0.0000 -0.0001

0.0000 0.0000

NUDO 7 I / L FD 0.0000 0.0000

K7-3 730.1683 0.3073 0.0000 0.0000

K7-6 616.3758 0.2594 0.0000

K7-8 522.9855 0.2201 1.4366 -1.4366

1

Page 247: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827 1.4613

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040 0.0000

Σ 1253.1538 1.0000 0.0000

0.0001

-0.0002

0.0004

-0.0014

-0.0033

0.0089

-0.0066

0.0340

-0.1501

0.4293

1.1503

0.2723 0.3928

0.3349

-2.9283

0.7975 0.9805

-0.0472

-0.1041 -0.1279

-0.0173

-0.0046 -0.0056

-0.0004

-0.0023 -0.0028

0.0004

0.0003 0.0004

0.0000

0.0000 0.0001

0.0000

0.0000 0.0000

0.0000

0.6869 -2.1482

0.3434

0.0000

0.0000

0.0001

-0.0012

-0.0023

-0.0520

0.3988

5

9

H70
REQUE: 1° Nudo en ser equilibrado.
Page 248: cortante deVIGAS 01.xlsx

9

Page 249: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 1 - PORTICO 6

2 3 42.79 2.79

6 7 83.77 3.77

10 11 12

3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M5-6 -2.93 Tn-m

M6-5 2.93 Tn-m

M6-7 -2.98 Tn-m

M7-6 2.98 Tn-m

M7-8 -4.14 Tn-m

M8-7 4.14 Tn-m

COMBINACION 1 - DEARROLLO DEL CROSS

0.3161 0.3130

2.1656 0.3708 -2.2084 2.2084

0.3659

-0.1021 -0.1198 -0.1012 -0.0506

0.0290 -0.0553 0.2139 0.4279

-0.0593 -0.0696 -0.0587 -0.0294

0.0076 -0.0202 -0.0316 -0.0632

0.0140 0.0164 0.0138 0.0069

-0.0012 -0.0005 -0.0008 -0.0016

0.0008 0.0009 0.0008 0.0004

-0.0001 0.0004 0.0003 0.0007

-0.0002 -0.0002 -0.0002 -0.0001

0.0000 0.0000 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

2

K33
REQUE: 5°
O33
REQUE: 6°
Page 250: cortante deVIGAS 01.xlsx

2.4199 -0.2479 -2.1719

2.4996

-0.2374 -2.8795

0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

-0.0001 -0.0001

0.0009 0.0008

0.0005 -0.0021

-0.0009 -0.0008

0.0082 -0.0022

-0.0405 -0.0342

-0.0348 0.2360

-0.1107 -0.0934

-0.0599 -2.9834

0.2950 0.2490

0.2515 0.2045

2.9283

0.4903

-0.0944 -0.0767

-0.0640

-0.0345 -0.0281

-0.0028

-0.0008 -0.0007

-0.0014

0.0008 0.0006

0.0002

0.0000 0.0000

0.0000

0.0000 0.0000

0.0000

0.0000 0.0000

3.2217 -0.1048

-0.0524

0.0000

0.0000

0.0000

0.0003

-0.0003

-0.0140

-0.0384

6

10

K70
REQUE: 7°
Page 251: cortante deVIGAS 01.xlsx

10

Page 252: cortante deVIGAS 01.xlsx

COMBINACION 1 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

0.3906 -3.0675 3.0675 -1.2075

-0.3881 -0.7763 -1.0838

0.5068855969 0.3631 0.1815 0.0995

0.2796 -0.0586 -0.1173 -0.1638

-0.0748 -0.0536 -0.0268 0.0244

-0.0026 0.0005 0.0010 0.0014

-0.0019 -0.0014 -0.0007 0.0003

-0.0025 0.0001 0.0002 0.0002

0.0008 0.0006 0.0003 0.0000

-0.0002 -0.0001 -0.0001 -0.0002

0.0001 0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

3 4

K28
REQUE: Empezamos por el nudo 2.
T33
REQUE: 4°
Page 253: cortante deVIGAS 01.xlsx

0.0000 2.3294 -2.3294

0.7055 -3.2050

3.3828 0.7643

0.0000 0.0000 -2.7895

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0001

0.0000 0.0001 -0.0001

-0.0003 -0.0003 0.0000

0.0004 0.0004 0.0001

-0.0042 -0.0050 0.0006

-0.0004 -0.0009 0.0007

-0.0044 -0.0052 0.0488

-0.0171 -0.0374 -0.0819

0.4720 0.5592 0.1991

-0.0467 -0.5419

2.9834 0.2534 -2.4150

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.1447 4.1447

-0.8649 -1.7297 -1.6744

0.3877 0.4005 0.2003

0.0713 0.1426 0.1380

-0.0036 -0.0037 -0.0018

0.0175 0.0349 0.0338

-0.0034 -0.0035 -0.0018

0.0002 0.0004 0.0004

-0.0002 -0.0002 -0.0001

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.3804 -4.5276 2.7895 -1.5021

0.1902 -0.7510

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

-0.0001 0.0002

-0.0017 0.0169

-0.0018 0.0690

0.1938 -0.8372

78

1211

Q70
REQUE: 8°
T70
REQUE: 2°
Page 254: cortante deVIGAS 01.xlsx

1211

Page 255: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.5751

K5-6 622.4385 0.3349 0.6999

K5-9 506.2500 0.2723 -0.0430

Σ 1858.8568 1.0000 0.0199

0.0056

NUDO 6 I / L FD -0.0050

K6-2 730.1683 0.2950 0.0014

K6-5 622.4385 0.2515 -0.0101

K6-7 616.3758 0.2490 0.0011

K6-10 506.2500 0.2045 -0.0020

Σ 2475.2326 1.0000 0.0002

-0.0003

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 -0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.2429

11

Page 256: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.7975

-0.0596

0.0078

0.0019

0.0015

0.0003

0.0001

0.7495

0.3747

0.0000

0.0002

0.0008

0.0010

0.0039

-0.0298

0.3988

5

9

5

9

Page 257: cortante deVIGAS 01.xlsx

99

Page 258: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 2 - PORTICO 6

2 3 42.41 2.79 2.41

6 7 83.78 3.02 3.77

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-1.87 Tn-m M5-6 -2.93 Tn-m

1.87 Tn-m M6-5 2.93 Tn-m

-2.21 Tn-m M6-7 -2.38 Tn-m

2.21 Tn-m M7-6 2.38 Tn-m

-2.65 Tn-m M7-8 -4.14 Tn-m

2.65 Tn-m M8-7 4.14 Tn-m

COMBINACION 2 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.8717 1.8717 0.3708 -2.2084

0.5967 0.2983

0.0061 0.0121 0.0142 0.0120

0.0170 0.0085 -0.1536 0.1217

0.0037 0.0074 0.0087 0.0073

-0.0043 -0.0021 -0.0452 -0.0619

0.0173 0.0345 0.0405 0.0342

-0.0086 -0.0043 -0.0053 -0.0064

0.0025 0.0051 0.0059 0.0050

-0.0017 -0.0008 -0.0007 -0.0009

0.0004 0.0008 0.0009 0.0008

-0.0003 -0.0001 -0.0003 -0.0002

0.0001 0.0002 0.0002 0.0002

0.0000 0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0001 0.0000

-1.2428 0.0000 0.0000

1 21 2

AG33
REQUE: 5°
Page 259: cortante deVIGAS 01.xlsx

2.2312 -0.1347 -2.0966

-0.3751 -2.3795

1.4322 0.0000

0.0000 0.0000

0.0001 0.0000 0.0000

-0.0002 -0.0001 -0.0001

0.0005 0.0001 0.0002

-0.0010 -0.0006 -0.0005

0.0022 0.0004 0.0006

-0.0050 -0.0014 -0.0012

0.0028 0.0030 0.0007

-0.0025 -0.0106 -0.0089

0.0112 0.0202 0.0108

0.0100 -0.0904 -0.0763

-0.0860 0.0043 0.3387

0.3500 -0.3073 -0.2594

1.1503 0.0071 -2.3841

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.9283 2.9283

0.9805 0.4903

-0.1310 -0.2619 -0.2130

-0.0733 -0.0367

-0.0385 -0.0770 -0.0627

0.0096 0.0048

-0.0045 -0.0090 -0.0073

0.0024 0.0012

-0.0006 -0.0012 -0.0010

0.0019 0.0009

-0.0002 -0.0005 -0.0004

0.0004 0.0002

-0.0001 -0.0001 -0.0001

0.0001 0.0000

0.0000 0.0000 0.0000

-2.1817 3.0392 -0.2846

-0.1423

0.0000

0.0000

-0.0002

-0.0005

-0.0037

-0.0313

-0.1065

6

109

6

109

AD70
REQUE: 1° Nudo en ser equilibrado.
AG70
REQUE: 7°
Page 260: cortante deVIGAS 01.xlsx

109 109

Page 261: cortante deVIGAS 01.xlsx

COMBINACION 2 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.2084 0.3906 -2.6512 2.6512 -1.2075

-0.3013 -0.6025 -0.8412

0.0060

0.2434 0.2882771857 0.2065 0.1032 0.0388

0.0037 0.4012 -0.0296 -0.0593 -0.0828

-0.1237 -0.1466 -0.1050 -0.0525 0.0094

0.0171 0.0129 0.0090 0.0180 0.0251

-0.0128 -0.0152 -0.0109 -0.0054 -0.0038

0.0025 0.0008 0.0019 0.0039 0.0054

-0.0017 -0.0021 -0.0015 -0.0007 -0.0009

0.0004 0.0007 0.0003 0.0007 0.0010

-0.0005 -0.0005 -0.0004 -0.0002 -0.0002

0.0001 0.0002 0.0001 0.0002 0.0002

-0.0001 -0.0001 -0.0001 -0.0001 0.0000

0.0000 0.0000 0.0000 0.0000 0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

AG28
REQUE: Empezamos por el nudo 2.
AK33
REQUE: 6°
AP33
REQUE: 4°
Page 262: cortante deVIGAS 01.xlsx

0.0000 2.0565 -2.0565

2.3426 0.5395 -2.8821

2.9129 0.8935

0.0000 0.0000 -2.7747

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

-0.0001 -0.0001 0.0001

0.0003 0.0004 -0.0004

-0.0002 -0.0003 0.0005

0.0011 0.0013 -0.0019

-0.0006 -0.0010 0.0027

0.0014 0.0016 -0.0077

-0.0045 -0.0076 0.0126

0.0217 0.0257 0.0187

-0.0381 -0.0733 -0.0414

0.6774 0.8025 0.0776

-0.1297 -0.4206

2.3841 0.1441 -2.4150

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.1447 4.1447

-0.8649 -1.7297 -1.6744

0.5564 0.5748 0.2874

0.0278 0.0556 0.0538

0.0178 0.0184 0.0092

0.0067 0.0134 0.0130

0.0011 0.0012 0.0006

-0.0027 -0.0055 -0.0053

0.0009 0.0010 0.0005

-0.0007 -0.0013 -0.0013

0.0003 0.0003 0.0001

-0.0001 -0.0003 -0.0002

0.0001 0.0001 0.0000

0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000

0.5766 -4.3830 2.7747 -1.6145

0.2883 -0.8072

0.0000 0.0000

0.0001 -0.0001

0.0001 -0.0006

0.0005 -0.0027

0.0006 0.0065

0.0089 0.0269

0.2782 -0.8372

78

1211

78

1211

AM70
REQUE: 8°
AP70
REQUE: 2°
Page 263: cortante deVIGAS 01.xlsx

1211 1211

Page 264: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.4597

K5-6 622.4385 0.3349 0.9209

K5-9 506.2500 0.2723 -0.0996

Σ 1858.8568 1.0000 0.1092

-0.0125

NUDO 6 I / L FD 0.0393

K6-2 730.1683 0.2950 -0.0047

K6-5 622.4385 0.2515 0.0055

K6-7 616.3758 0.2490 -0.0008

K6-10 506.2500 0.2045 0.0016

Σ 2475.2326 1.0000 -0.0002

0.0005

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0001

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.4188

11

Page 265: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.6374

-0.1381

-0.0173

-0.0065

-0.0011

-0.0003

-0.0001

0.4739

0.2370

0.0000

-0.0001

-0.0006

-0.0033

-0.0087

-0.0691

0.3187

5

9

5

9

Page 266: cortante deVIGAS 01.xlsx

99

Page 267: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 3 - PORTICO 6

2 3 42.79 2.41 2.79

6 7 83.02 3.77 3.02

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.17 Tn-m M5-6 -2.34 Tn-m

2.17 Tn-m M6-5 2.34 Tn-m

-1.91 Tn-m M6-7 -2.98 Tn-m

1.91 Tn-m M7-6 2.98 Tn-m

-3.07 Tn-m M7-8 -3.31 Tn-m

3.07 Tn-m M8-7 3.31 Tn-m

COMBINACION 3 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.1656 2.1656 0.3708 -1.9087

0.7850 0.3925

-0.1026 -0.2053 -0.2408 -0.2033

0.0931 0.0465 0.0548 0.2801

-0.0603 -0.1206 -0.1414 -0.1194

0.0335 0.0168 0.0107 0.0072

-0.0055 -0.0109 -0.0128 -0.0108

0.0047 0.0023 0.0050 0.0057

-0.0021 -0.0041 -0.0048 -0.0041

0.0013 0.0007 0.0017 0.0016

-0.0006 -0.0013 -0.0015 -0.0012

0.0004 0.0002 0.0003 0.0004

-0.0001 -0.0003 -0.0003 -0.0003

0.0001 0.0000 0.0001 0.0001

0.0000 -0.0001 -0.0001 -0.0001

-1.4188 0.0000 0.0000

1 21 2

BB33
REQUE: 5°
Page 268: cortante deVIGAS 01.xlsx

2.2821 -0.3292 -1.9528

-0.0557 -2.8006

1.2220 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0002 0.0002 0.0001

-0.0004 -0.0002 -0.0002

0.0008 0.0007 0.0006

-0.0016 -0.0007 -0.0009

0.0027 0.0034 0.0028

-0.0094 -0.0024 -0.0049

0.0196 0.0100 0.0085

-0.0250 -0.0064 -0.0169

0.0546 0.0214 0.0180

-0.1992 -0.0707 0.0833

0.4604 0.1096 0.0925

0.9194 -0.1204 -2.9834

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.3405 2.3405

0.7837 0.3919

0.0467 0.0934 0.0760

-0.1698 -0.0849

0.0091 0.0182 0.0148

-0.0213 -0.0107

0.0043 0.0086 0.0070

-0.0080 -0.0040

0.0014 0.0029 0.0023

-0.0014 -0.0007

0.0003 0.0006 0.0005

-0.0004 -0.0002

0.0001 0.0001 0.0001

-0.0001 0.0000

0.0000 0.0000 0.0000

-1.6959 2.7557 0.1007

0.0503

0.0000

0.0001

0.0002

0.0012

0.0035

0.0074

0.0380

6

109

6

109

AY70
REQUE: 1° Nudo en ser equilibrado.
BB70
REQUE: 7°
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109 109

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COMBINACION 3 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

1.9087 0.3906 -3.0675 3.0675 -0.9649

-0.4387 -0.8775 -1.2251

-0.1016

0.5602 0.6636454372 0.4753 0.2377 0.1579

-0.0597 0.0986 -0.0825 -0.1651 -0.2305

0.0144 0.0170 0.0122 0.0061 0.0378

-0.0054 -0.0201 -0.0092 -0.0183 -0.0256

0.0114 0.0135 0.0097 0.0048 0.0049

-0.0020 -0.0058 -0.0020 -0.0041 -0.0057

0.0033 0.0039 0.0028 0.0014 0.0011

-0.0006 -0.0011 -0.0005 -0.0010 -0.0014

0.0007 0.0009 0.0006 0.0003 0.0003

-0.0001 -0.0002 -0.0001 -0.0002 -0.0003

0.0002 0.0002 0.0001 0.0001 0.0001

0.0000 -0.0001 0.0000 -0.0001 -0.0001

0.0000 0.0000 0.0000 0.0000

3 43 4

BB28
REQUE: Empezamos por el nudo 2.
BF33
REQUE: 6°
BK33
REQUE: 4°
Page 271: cortante deVIGAS 01.xlsx

0.0000 2.2516 -2.2516

2.3293 0.7705 -3.0999

3.1652 0.4923

0.0000 0.0000 -2.2703

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0001 0.0001 -0.0002

-0.0004 -0.0005 0.0005

0.0003 0.0004 -0.0007

-0.0018 -0.0021 0.0021

0.0014 0.0019 -0.0029

-0.0099 -0.0117 0.0099

0.0042 0.0068 -0.0128

-0.0339 -0.0401 0.0755

0.0090 0.0085 -0.1152

0.1665 0.1972 0.3158

0.0462 -0.6125

2.9834 0.3318 -1.9299

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.3122 3.3122

-0.6911 -1.3823 -1.3380

0.1368 0.1413 0.0706

0.1131 0.2262 0.2189

-0.0278 -0.0288 -0.0144

0.0270 0.0541 0.0524

-0.0081 -0.0084 -0.0042

0.0035 0.0071 0.0069

-0.0015 -0.0015 -0.0008

0.0008 0.0015 0.0015

-0.0003 -0.0003 -0.0002

0.0002 0.0004 0.0004

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.0989 -3.7564 2.2703 -1.0580

0.0494 -0.5290

0.0000 0.0000

-0.0001 0.0002

-0.0002 0.0007

-0.0007 0.0034

-0.0041 0.0262

-0.0139 0.1095

0.0684 -0.6690

78

1211

78

1211

BH70
REQUE: 8°
BK70
REQUE: 2°
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1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.5751

K5-6 622.4385 0.3349 0.6999

K5-9 506.2500 0.2723 -0.0578

Σ 1858.8568 1.0000 0.0279

-0.0021

NUDO 6 I / L FD 0.0147

K6-2 730.1683 0.2950 -0.0018

K6-5 622.4385 0.2515 0.0007

K6-7 616.3758 0.2490 -0.0002

K6-10 506.2500 0.2045 0.0006

Σ 2475.2326 1.0000 -0.0001

0.0002

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.2573

11

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K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.7975

-0.0802

-0.0029

-0.0025

-0.0003

-0.0001

0.0000

0.7115

0.3558

0.0000

-0.0001

-0.0002

-0.0012

-0.0014

-0.0401

0.3988

5

9

5

9

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CROSS PARA COMBINACION 4 - PORTICO 6

2 3 42.41 2.79 2.79

6 7 83.78 3.77 3.02

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-1.87 Tn-m M5-6 -2.93 Tn-m

1.87 Tn-m M6-5 2.93 Tn-m

-2.21 Tn-m M6-7 -2.98 Tn-m

2.21 Tn-m M7-6 2.98 Tn-m

-3.07 Tn-m M7-8 -3.31 Tn-m

3.07 Tn-m M8-7 3.31 Tn-m

COMBINACION 4 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-1.8717 1.8717 0.3708 -2.2084

0.5967 0.2983

0.0061 0.0121 0.0142 0.0120

0.0238 0.0119 -0.0652 0.2130

-0.0252 -0.0505 -0.0592 -0.0500

0.0126 0.0063 -0.0041 -0.0053

0.0005 0.0010 0.0011 0.0010

0.0006 0.0003 0.0021 0.0034

-0.0009 -0.0018 -0.0021 -0.0018

0.0005 0.0003 0.0009 0.0011

-0.0004 -0.0007 -0.0008 -0.0007

0.0002 0.0001 0.0002 0.0002

-0.0001 -0.0002 -0.0002 -0.0002

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-1.2573 0.0000 0.0000

1 21 2

BW33
REQUE: 5°
Page 277: cortante deVIGAS 01.xlsx

2.1488 -0.1131 -2.0357

-0.1557 -3.0056

1.3983 0.0000

0.0000 0.0000

-0.0001 0.0000 0.0000

0.0001 0.0001 0.0001

-0.0002 -0.0001 -0.0001

0.0003 0.0003 0.0003

-0.0004 -0.0004 -0.0006

0.0004 0.0018 0.0016

-0.0036 -0.0011 -0.0037

0.0074 0.0041 0.0035

-0.0041 0.0006 -0.0129

0.0140 -0.0082 -0.0069

-0.1156 -0.0296 0.1067

0.3500 -0.1305 -0.1101

1.1503 0.0071 -2.9834

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.9283 2.9283

0.9805 0.4903

-0.0556 -0.1112 -0.0904

-0.0986 -0.0493

-0.0035 -0.0070 -0.0057

-0.0035 -0.0018

0.0018 0.0035 0.0029

-0.0031 -0.0015

0.0008 0.0016 0.0013

-0.0004 -0.0002

0.0001 0.0003 0.0002

-0.0002 -0.0001

0.0000 0.0001 0.0001

-0.0001 0.0000

0.0000 0.0000 0.0000

-2.1098 3.2530 -0.0917

-0.0458

0.0000

0.0000

0.0001

0.0006

0.0014

-0.0028

-0.0452

6

109

6

109

BT70
REQUE: 1° Nudo en ser equilibrado.
BW70
REQUE: 7°
Page 278: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 4 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.2084 0.3906 -3.0675 3.0675 -0.9649

-0.4387 -0.8775 -1.2251

0.0060

0.4259 0.5045540163 0.3614 0.1807 0.1521

-0.0250 0.1264 -0.0694 -0.1389 -0.1939

-0.0105 -0.0125 -0.0089 -0.0045 0.0314

0.0005 -0.0152 -0.0056 -0.0112 -0.0157

0.0067 0.0080 0.0057 0.0029 0.0032

-0.0009 -0.0043 -0.0013 -0.0025 -0.0035

0.0021 0.0025 0.0018 0.0009 0.0007

-0.0004 -0.0007 -0.0003 -0.0007 -0.0009

0.0004 0.0005 0.0004 0.0002 0.0002

-0.0001 -0.0001 -0.0001 -0.0001 -0.0002

0.0001 0.0001 0.0001 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

BW28
REQUE: Empezamos por el nudo 2.
CA33
REQUE: 6°
CF33
REQUE: 4°
Page 280: cortante deVIGAS 01.xlsx

0.0000 2.2168 -2.2168

2.6133 0.6092 -3.2226

3.1066 0.4636

0.0000 0.0000 -2.2745

0.0000 0.0000 0.0000

-0.0001 -0.0001 0.0001

0.0000 0.0001 -0.0001

-0.0002 -0.0003 0.0003

0.0001 0.0003 -0.0005

-0.0011 -0.0013 0.0013

0.0008 0.0013 -0.0018

-0.0073 -0.0087 0.0064

0.0017 0.0040 -0.0079

-0.0257 -0.0305 0.0629

-0.0035 -0.0062 -0.0969

0.2134 0.2528 0.3042

-0.0551 -0.6125

2.9834 0.2523 -1.9299

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-3.3122 3.3122

-0.6911 -1.3823 -1.3380

0.1753 0.1811 0.0905

0.1089 0.2179 0.2109

-0.0211 -0.0218 -0.0109

0.0225 0.0450 0.0436

-0.0060 -0.0062 -0.0031

0.0023 0.0046 0.0044

-0.0009 -0.0010 -0.0005

0.0005 0.0009 0.0009

-0.0002 -0.0002 -0.0001

0.0001 0.0002 0.0002

0.0000 0.0000 0.0000

0.0000 0.0001 0.0001

0.0000 0.0000 0.0000

0.1470 -3.7171 2.2745 -1.0780

0.0735 -0.5390

0.0000 0.0000

0.0000 0.0001

-0.0001 0.0005

-0.0005 0.0022

-0.0030 0.0218

-0.0106 0.1054

0.0876 -0.6690

78

1211

78

1211

CC70
REQUE: 8°
CF70
REQUE: 2°
Page 281: cortante deVIGAS 01.xlsx

1211 1211

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ELEMENTOS b h INERCIAS 1VP 0.25 0.45 189843.75

VS 0.25 0.35 89322.92 2.6COLUMNA 0.25 0.25 32552.08 5

NUDO 1 I / L FD 3.75K1-2 622.44 0.4602 9K1-5 730.1683 0.5398

Σ 1352.6068 1.0000

ESTADO 2 MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2

K2-1 622.44 0.3161 M2-1

K2-3 616.3758 0.3130 M2-3

K2-6 730.1683 0.3708 M3-2

Σ 1968.9826 1.0000 M3-4

M4-3

NUDO 3 I / L FD

K3-2 616.3758 0.3297

K3-4 522.9855 0.2797

K3-7 730.1683 0.3906

Σ 1869.5296 1.0000

NUDO 4 I / L FD

K4-3 522.9855 0.4173

K4-8 730.1683 0.5827

Σ 1253.1538 1.0000

NUDO 5 I / L FD 0.5398

K5-1 730.1683 0.3928 0.4597

K5-6 622.4385 0.3349 0.9209

K5-9 506.2500 0.2723 -0.0982

Σ 1858.8568 1.0000 0.0829

-0.0053

NUDO 6 I / L FD 0.0211

K6-2 730.1683 0.2950 -0.0020

K6-5 622.4385 0.2515 -0.0026

K6-7 616.3758 0.2490 0.0002

K6-10 506.2500 0.2045 -0.0004

Σ 2475.2326 1.0000 0.0000

0.0000

NUDO 7 I / L FD 0.0000

K7-3 730.1683 0.3073 0.0000

K7-6 616.3758 0.2594

K7-8 522.9855 0.2201 1.3762

11

Page 283: cortante deVIGAS 01.xlsx

K7-11 506.2500 0.2131

Σ 2375.7796 1.0000

NUDO 8 I / L FD

K8-4 730.1683 0.5827

K8-7 522.9855 0.4173

K8-12 506.2500 0.4040

Σ 1253.1538 1.0000

0.2723

0.6374

-0.1362

-0.0074

-0.0027

0.0003

0.0001

0.0000

0.4915

0.2457

0.0000

0.0000

0.0001

-0.0014

-0.0037

-0.0681

0.3187

5

9

5

9

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Page 285: cortante deVIGAS 01.xlsx

CROSS PARA COMBINACION 5 - PORTICO 6

2 3 42.79 2.79 2.41

6 7 83.02 3.77 3.77

10 11 12

3.05 3.08 3.63

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.17 Tn-m M5-6 -2.34 Tn-m

2.17 Tn-m M6-5 2.34 Tn-m

-2.21 Tn-m M6-7 -2.98 Tn-m

2.21 Tn-m M7-6 2.98 Tn-m

-2.65 Tn-m M7-8 -4.14 Tn-m

2.65 Tn-m M8-7 4.14 Tn-m

COMBINACION 5 - DEARROLLO DEL CROSS

0.4602 0.3161 0.3130

-2.1656 2.1656 0.3708 -2.2084

0.7850 0.3925

-0.0553 -0.1105 -0.1297 -0.1095

0.0706 0.0353 0.0466 0.1317

-0.0338 -0.0675 -0.0792 -0.0669

0.0180 0.0090 -0.0168 -0.0348

0.0067 0.0135 0.0158 0.0134

-0.0022 -0.0011 -0.0007 -0.0019

0.0006 0.0012 0.0014 0.0011

-0.0004 -0.0002 0.0003 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-1.3762 0.0000 0.0000

1 21 2

CR33
REQUE: 5°
Page 286: cortante deVIGAS 01.xlsx

2.4377 -0.1624 -2.2753

-0.0372 -2.6961

1.2198 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0000 0.0000

-0.0002 -0.0001 -0.0001

0.0004 0.0000 0.0001

-0.0013 0.0006 0.0005

-0.0039 0.0007 -0.0010

0.0105 -0.0014 -0.0012

-0.0106 0.0079 0.0013

0.0414 -0.0337 -0.0284

-0.1965 -0.0396 0.2375

0.4604 0.0932 0.0787

0.9194 -0.0648 -2.9834

0.3928 0.2950 0.2490

0.3349 0.2515 0.2045

-2.3405 2.3405

0.7837 0.3919

0.0397 0.0794 0.0646

-0.1675 -0.0837

-0.0144 -0.0287 -0.0233

-0.0091 -0.0045

-0.0006 -0.0012 -0.0009

-0.0033 -0.0017

0.0002 0.0005 0.0004

0.0003 0.0002

0.0000 -0.0001 0.0000

0.0001 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

-1.7113 2.6927 0.0407

0.0203

0.0000

0.0000

0.0000

0.0002

-0.0005

-0.0117

0.0323

6

109

6

109

CO70
REQUE: 1° Nudo en ser equilibrado.
CR70
REQUE: 7°
Page 287: cortante deVIGAS 01.xlsx

109 109

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COMBINACION 5 - DEARROLLO DEL CROSS

0.3297 0.2797 0.4173 0.5827

2.2084 0.3906 -2.6512 2.6512 -1.2075

-0.3013 -0.6025 -0.8412

-0.0547

0.2634 0.3119999094 0.2235 0.1117 0.0638

-0.0334 0.2813 -0.0366 -0.0733 -0.1023

-0.0697 -0.0825 -0.0591 -0.0296 0.0146

0.0067 0.0015 0.0031 0.0062 0.0087

-0.0037 -0.0044 -0.0032 -0.0016 -0.0010

0.0006 -0.0012 0.0005 0.0011 0.0015

0.0000 0.0000 0.0000 0.0000 -0.0002

0.0000 0.0001 0.0000 0.0001 0.0001

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

3 43 4

CR28
REQUE: Empezamos por el nudo 2.
CV33
REQUE: 6°
DA33
REQUE: 4°
Page 289: cortante deVIGAS 01.xlsx

0.0000 2.0635 -2.0635

2.3174 0.5068 -2.8242

3.4839 0.6761

0.0000 0.0000 -2.7273

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0001 -0.0001

0.0000 0.0000 0.0001

0.0001 0.0001 -0.0005

0.0002 0.0000 0.0008

-0.0020 -0.0024 -0.0020

-0.0006 -0.0022 0.0044

0.0025 0.0030 0.0292

-0.0142 -0.0413 -0.0511

0.4750 0.5627 0.1277

0.0393 -0.4206

2.9834 0.1560 -2.4150

0.2594 0.3073 0.5827 0.4040

0.2131 0.2201 0.4173

-4.1447 4.1447

-0.8649 -1.7297 -1.6744

0.3901 0.4030 0.2015

0.0457 0.0914 0.0885

0.0021 0.0021 0.0011

0.0104 0.0209 0.0202

-0.0016 -0.0017 -0.0008

-0.0007 -0.0015 -0.0014

0.0001 0.0001 0.0001

-0.0002 -0.0003 -0.0003

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.3907 -4.5507 2.7273 -1.5674

0.1954 -0.7837

0.0000 0.0000

0.0000 0.0000

0.0000 -0.0002

0.0001 -0.0007

-0.0008 0.0101

0.0010 0.0443

0.1951 -0.8372

78

1211

78

1211

CX70
REQUE: 8°
DA70
REQUE: 2°
Page 290: cortante deVIGAS 01.xlsx

1211 1211

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Page 292: cortante deVIGAS 01.xlsx

PORTICO 1-1

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

1°A-C 6.13 m 2.99 T/m 5.0910 9.3342 6.8169

C-D 3.63 m 2.60 T/m 6.8895 0.1839 0.7498

2°A-C 6.13 m 2.63 T/m 3.5361 8.8040 6.1923

C-D 3.63 m 2.63 T/m 7.2595 0.1977 0.6064

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

1°A-C 6.13 m 2.99 T/m 5.0366 9.1061 6.9581

C-D 3.63 m 1.91 T/m 6.5540 -0.0779 -0.0996

2°A-C 6.13 m 2.28 T/m 3.1646 7.8189 5.2336

C-D 3.63 m 2.63 T/m 6.4569 0.2285 0.9923

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

1°A-C 6.13 m 2.29 T/m 4.1754 7.2214 5.0572

C-D 3.63 m 2.25 T/m 5.2345 0.2211 0.9846

2°A-C 6.13 m 2.98 T/m 3.7316 9.6604 7.3033

C-D 3.63 m 2.28 T/m 7.9374 -0.0001 -0.2076

ENVOLVENTEPORTICO 1-1

P TRAMO L W M° NEG. M° POS.

1°A-C 6.13 m - 5.0910 9.3342 6.9581

C-D 3.63 m - 6.8895 0.2211 0.9846

2°A-C 6.13 m - 3.7316 9.6604 7.3033

C-D 3.63 m - 7.9374 0.2285 0.9923

Page 293: cortante deVIGAS 01.xlsx

PORTICO 2-2

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.59 T/m 3.1868 4.7167 2.5519

B-C 3.08 m 5.25 T/m 4.0924 4.6395 1.8545

C-D 3.63 m 5.16 T/m 6.1931 3.8314 3.4913

A-B 3.05 m 3.94 T/m 2.0460 3.4183 1.8518

B-C 3.08 m 3.94 T/m 3.0438 3.5440 1.3807

C-D 3.63 m 3.94 T/m 4.5295 3.2632 2.5968

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.59 T/m 3.2459 4.3951 2.6832

B-C 3.08 m 3.91 T/m 3.2112 3.8113 1.1247

C-D 3.63 m 5.16 T/m 5.9383 3.8053 3.6318

A-B 3.05 m 3.27 T/m 1.7044 3.0859 1.4119

B-C 3.08 m 3.94 T/m 2.9111 3.2674 1.5853

C-D 3.63 m 3.27 T/m 3.9605 2.7824 2.0213

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.26 T/m 2.3897 3.8954 1.8073

B-C 3.08 m 5.25 T/m 3.9534 4.2560 2.1157

C-D 3.63 m 3.83 T/m 4.8341 2.9163 2.4275

A-B 3.05 m 3.94 T/m 2.0146 3.1755 1.9889

B-C 3.08 m 3.27 T/m 2.6577 3.2439 0.9315

C-D 3.63 m 3.94 T/m 4.3442 3.1263 2.7579

COMBINACION 4

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.59 T/m 3.1192 4.7719 2.5581

B-C 3.08 m 5.25 T/m 4.3146 4.1527 1.9868

C-D 3.63 m 3.83 T/m 4.7648 2.9237 2.4584

A-B 3.05 m 3.27 T/m 1.7300 2.9407 1.4718

B-C 3.08 m 3.94 T/m 2.8037 3.7445 3.7445

C-D 3.63 m 3.94 T/m 4.5605 3.0648 2.6805

COMBINACION 5

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.26 T/m 2.4168 3.7844 1.8493

B-C 3.08 m 5.25 T/m 3.7692 4.8177 1.9270

C-D 3.63 m 5.16 T/m 6.2338 3.7218 3.5258

A-B 3.05 m 3.94 T/m 1.9395 3.4497 1.8893

B-C 3.08 m 3.94 T/m 3.2260 3.2230 1.4501

C-D 3.63 m 3.27 T/m 3.8584 2.7947 2.0662

Page 294: cortante deVIGAS 01.xlsx

ENVOLVENTEPORTICO 2-2

P TRAMO L W M° NEG. M° POS.

A-B 3.05 m - 3.2459 4.7719 2.6832

B-C 3.08 m - 4.3146 4.8177 2.1157

C-D 3.63 m - 6.2338 3.8314 3.6318

A-B 3.05 m - 2.0460 3.4497 1.9889

B-C 3.08 m - 3.2260 3.7445 3.7445

C-D 3.63 m - 4.5605 3.2632 2.7579

Page 295: cortante deVIGAS 01.xlsx

PORTICO 3-3

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.55 T/m 2.5914 3.8039 2.0890

B-C 3.08 m 4.20 T/m 3.2346 3.8598 1.4321

C-D 3.63 m -5.40 T/m 5.3985 3.3352 -13.2587

A-B 3.05 m 3.06 T/m 1.6010 2.6654 1.4275

B-C 3.08 m 3.06 T/m 2.3709 2.7081 1.0916

C-D 3.63 m 3.06 T/m 3.5157 2.6105 1.9805

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.55 T/m 2.6357 3.5625 2.1875

B-C 3.08 m 3.20 T/m 2.5732 3.2381 0.8843

C-D 3.63 m 4.55 T/m 5.2072 3.3156 3.2270

A-B 3.05 m 2.56 T/m 1.3446 2.4158 1.0973

B-C 3.08 m 3.06 T/m 2.2713 2.5004 1.2452

C-D 3.63 m 2.56 T/m 3.0886 2.2495 1.5486

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.54 T/m 1.9930 3.1875 1.5300

B-C 3.08 m 4.20 T/m 3.1303 3.5719 1.6282

C-D 3.63 m 3.54 T/m 4.3784 2.6483 2.3230

A-B 3.05 m 3.06 T/m 1.5774 2.4831 1.5304

B-C 3.08 m 2.56 T/m 2.0810 2.4828 0.7544

C-D 3.63 m 3.06 T/m 3.3766 2.5077 2.1015

COMBINACION 4

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.55 T/m 2.5406 3.8454 2.0936

B-C 3.08 m 4.20 T/m 3.4014 3.4944 1.5314

C-D 3.63 m 3.54 T/m 4.3264 2.6539 2.3463

A-B 3.05 m 2.56 T/m 1.3638 2.3068 1.1422

B-C 3.08 m 3.06 T/m 2.1906 2.8586 0.0000

C-D 3.63 m 3.06 T/m 3.5389 2.4615 2.0434

COMBINACION 5

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.54 T/m 2.0133 3.1041 1.5616

B-C 3.08 m 4.20 T/m 2.9920 3.9935 1.4866

C-D 3.63 m 4.55 T/m 5.4291 3.2529 3.1474

A-B 3.05 m 3.06 T/m 1.5211 2.6889 1.4556

B-C 3.08 m 3.06 T/m 2.5076 2.4671 1.1437

C-D 3.63 m 2.56 T/m 3.0120 2.2587 1.5822

Page 296: cortante deVIGAS 01.xlsx

ENVOLVENTEPORTICO 3-3

P TRAMO L W M° NEG. M° POS.

A-B 3.05 m - 2.6357 3.8454 2.1875

B-C 3.08 m - 3.4014 3.9935 1.6282

C-D 3.63 m - 5.4291 3.3352 3.2270

A-B 3.05 m - 1.6010 2.6889 1.5304

B-C 3.08 m - 2.5076 2.8586 1.2452

C-D 3.63 m - 3.5389 2.6105 2.1015

Page 297: cortante deVIGAS 01.xlsx

PORTICO 4-4

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.04 T/m 2.2946 3.4745 1.8147

B-C 3.08 m 4.19 T/m 3.1681 3.7441 1.5074

C-D 3.63 m 4.13 T/m 4.9617 3.0490 2.7903

A-B 3.05 m 3.08 T/m 1.5757 2.6643 1.4616

B-C 3.08 m 3.08 T/m 2.4012 2.7585 1.0725

C-D 3.63 m 3.08 T/m 3.5311 2.5635 2.0259

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.04 T/m 2.3392 3.2315 1.9139

B-C 3.08 m 3.18 T/m 2.5022 3.1182 0.9558

C-D 3.63 m 4.13 T/m 4.7692 3.0293 2.8964

A-B 3.05 m 2.58 T/m 1.3176 2.4130 1.1291

B-C 3.08 m 3.08 T/m 2.3009 2.5495 1.2271

C-D 3.63 m 2.58 T/m 3.1011 2.2001 1.5910

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.03 T/m 1.6922 2.8539 1.2520

B-C 3.08 m 4.19 T/m 3.0631 3.4542 1.7048

C-D 3.63 m 3.12 T/m 3.9347 2.3574 1.9863

A-B 3.05 m 3.08 T/m 1.5520 2.4807 1.5652

B-C 3.08 m 2.58 T/m 2.1094 2.5318 0.7330

C-D 3.63 m 3.08 T/m 3.3911 2.4600 2.1477

COMBINACION 4

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.04 T/m 2.2434 3.5162 1.8194

B-C 3.08 m 4.19 T/m 3.3361 3.3761 1.6073

C-D 3.63 m 3.12 T/m 3.8824 2.3630 2.0097

A-B 3.05 m 2.58 T/m 1.3369 2.3033 1.1743

B-C 3.08 m 3.08 T/m 2.2198 2.9101 0.0000

C-D 3.63 m 3.08 T/m 3.5545 2.4135 2.0892

COMBINACION 5

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.03 T/m 1.7126 2.7699 1.2837

B-C 3.08 m 4.19 T/m 2.9239 3.8787 1.5622

C-D 3.63 m 4.13 T/m 4.9926 2.9661 2.8163

A-B 3.05 m 3.08 T/m 1.4953 2.6880 1.4899

B-C 3.08 m 3.08 T/m 2.5389 2.5160 1.1249

C-D 3.63 m 2.58 T/m 3.0240 2.2094 1.6249

Page 298: cortante deVIGAS 01.xlsx

ENVOLVENTEPORTICO 4-4

P TRAMO L W M° NEG. M° POS.

A-B 3.05 m - 2.3392 3.5162 1.9139

B-C 3.08 m - 3.3361 3.8787 1.7048

C-D 3.63 m - 4.9926 3.0490 2.8964

A-B 3.05 m - 1.5757 2.6880 1.5652

B-C 3.08 m - 2.5389 2.9101 1.2271

C-D 3.63 m - 3.5545 2.5635 2.1477

Page 299: cortante deVIGAS 01.xlsx

PORTICO 5-5

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.81 T/m 3.3193 4.8701 2.6573

B-C 3.08 m 5.42 T/m 4.1721 4.9611 1.8659

C-D 3.63 m 5.81 T/m 6.8993 4.2868 3.9711

A-B 3.05 m 4.12 T/m 2.1341 3.5862 1.9327

B-C 3.08 m 4.12 T/m 3.1941 3.6634 1.4588

C-D 3.63 m 4.12 T/m 4.7376 3.4700 2.6852

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.81 T/m 3.3814 4.5321 2.7953

B-C 3.08 m 4.02 T/m 3.2462 4.0907 1.0990

C-D 3.63 m 5.81 T/m 6.6315 4.2594 4.1187

A-B 3.05 m 3.42 T/m 1.7752 3.2369 1.4704

B-C 3.08 m 4.12 T/m 3.0546 3.3727 1.6739

C-D 3.63 m 3.42 T/m 4.1396 2.9647 2.0804

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.40 T/m 2.4817 4.0070 1.8749

B-C 3.08 m 5.42 T/m 4.0261 4.5580 2.1405

C-D 3.63 m 4.40 T/m 5.4712 3.3252 2.8531

A-B 3.05 m 4.12 T/m 2.1011 3.3310 2.0768

B-C 3.08 m 3.42 T/m 2.7883 3.3481 0.9869

C-D 3.63 m 4.12 T/m 4.5429 3.3261 2.8545

COMBINACION 4

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 5.81 T/m 3.2482 4.9281 2.6639

B-C 3.08 m 5.42 T/m 4.4057 4.4494 2.0050

C-D 3.63 m 4.40 T/m 5.3984 3.3329 2.8857

A-B 3.05 m 3.42 T/m 1.8021 3.0842 1.5333

B-C 3.08 m 4.12 T/m 2.9417 3.8741 0.0000

C-D 3.63 m 4.12 T/m 4.7701 3.2615 2.7732

COMBINACION 5

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 4.40 T/m 2.5101 3.8903 1.9190

B-C 3.08 m 5.42 T/m 3.8325 5.1483 1.9422

C-D 3.63 m 5.81 T/m 6.9422 4.1716 4.0073

A-B 3.05 m 4.12 T/m 2.0223 3.6192 1.9721

B-C 3.08 m 4.12 T/m 3.3855 3.3260 1.5318

C-D 3.63 m 3.42 T/m 4.0324 2.9776 2.1275

Page 300: cortante deVIGAS 01.xlsx

ENVOLVENTEPORTICO 5-5

P TRAMO L W M° NEG. M° POS.

A-B 3.05 m - 3.3814 4.9281 2.7953

B-C 3.08 m - 4.4057 5.1483 2.1405

C-D 3.63 m - 6.9422 4.2868 4.1187

A-B 3.05 m - 2.1341 3.6192 2.0768

B-C 3.08 m - 3.3855 3.8741 1.6739

C-D 3.63 m - 4.7701 3.4700 2.8545

Page 301: cortante deVIGAS 01.xlsx

PORTICO 6-6

COMBINACION 1

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.78 T/m 2.1482 3.2217 1.7075

B-C 3.08 m 3.77 T/m 2.8795 3.3828 1.3440

C-D 3.63 m 3.77 T/m 4.5276 2.7895 2.5585

A-B 3.05 m 2.79 T/m 1.4366 2.4199 1.3201

B-C 3.08 m 2.79 T/m 2.1719 2.4996 0.9768

C-D 3.63 m 2.79 T/m 3.2050 2.3294 1.8341

COMBINACION 2

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.78 T/m 2.1817 3.0392 1.7820

B-C 3.08 m 3.02 T/m 2.3795 2.9129 0.9299

C-D 3.63 m 3.77 T/m 4.3830 2.7747 2.6382

A-B 3.05 m 2.41 T/m 1.2428 2.2312 1.0705

B-C 3.08 m 2.79 T/m 2.0966 2.3426 1.0930

C-D 3.63 m 2.41 T/m 2.8821 2.0565 1.5075

COMBINACION 3

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.02 T/m 1.6959 2.7557 1.2850

B-C 3.08 m 3.77 T/m 2.8006 3.1652 1.4922

C-D 3.63 m 3.02 T/m 3.7564 2.2703 1.9549

A-B 3.05 m 2.79 T/m 1.4188 2.2821 1.3979

B-C 3.08 m 2.41 T/m 1.9528 2.3293 0.7220

C-D 3.63 m 2.79 T/m 3.0999 2.2516 1.9255

COMBINACION 4

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.78 T/m 2.1098 3.2530 1.7110

B-C 3.08 m 3.77 T/m 3.0056 3.1066 1.4191

C-D 3.63 m 3.02 T/m 3.7171 2.2745 1.9724

A-B 3.05 m 2.41 T/m 1.2573 2.1488 1.1045

B-C 3.08 m 2.79 T/m 2.0357 2.6133 0.0000

C-D 3.63 m 2.79 T/m 3.2226 2.2168 1.8816

COMBINACION 5

P TRAMO L Wu M° NEG. M° POS.

A-B 3.05 m 3.02 T/m 1.7113 2.6927 1.3088

B-C 3.08 m 3.77 T/m 2.6961 3.4839 1.3852

C-D 3.63 m 3.77 T/m 4.5507 2.7273 2.5781

A-B 3.05 m 2.79 T/m 1.3762 2.4377 1.3414

B-C 3.08 m 2.79 T/m 2.2753 2.3174 1.0162

C-D 3.63 m 2.41 T/m 2.8242 2.0635 1.5330

Page 302: cortante deVIGAS 01.xlsx

ENVOLVENTEPORTICO 6 - 6

P TRAMO L W M° NEG. M° POS.

A-B 3.05 m - 2.1817 3.2530 1.7820

B-C 3.08 m - 3.0056 3.4839 1.4922

C-D 3.63 m - 4.5507 2.7895 2.6382

A-B 3.05 m - 1.4366 2.4377 1.3979

B-C 3.08 m - 2.2753 2.6133 1.0930

C-D 3.63 m - 3.2226 2.3294 1.9255

Page 303: cortante deVIGAS 01.xlsx

CROSS- PORTICO A - A

ELEMENTOS b h INERCIAS 1VS 0.25 0.35 89322.92 0.29

COLUMNA 0.25 0.25 32552.08 2.8

71.28

NUDO 1 I / L FD 3.33K1-2 194.18 0.6255 13K1-7 116.2574 0.3745 4.6

Σ 310.4377 1.0000

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -0.52 Tn-m

K2-1 194.18 0.3498 M2-1 0.52 Tn-m

K2-3 244.7203 0.4408 M2-3 -0.33 Tn-m

K2-8 116.2574 0.2094 M3-2 0.33 Tn-m

Σ 555.1580 1.0000 M3-4 -0.17 Tn-m

M4-3 0.17 Tn-m

NUDO 3 I / L FD M4-5 -0.35 Tn-m

K3-2 244.7203 0.3506 M5-4 0.35 Tn-m

K3-4 337.0676 0.4829 M5-6 -0.60 Tn-m

K3-9 116.2574 0.1665 M6-5 0.60 Tn-m

Σ 698.0454 1.0000

NUDO 4 I / L FD

K4-3 337.0676 0.4896

K4-5 235.0603 0.3415

K4-10 116.2574 0.1689

Σ 688.3854 1.0000 0.3745

0.3206

NUDO 5 I / L FD 0.0741

K5-4 235.0603 0.4420 0.0232

K5-6 180.4503 0.3393 0.0080

K5-11 116.2574 0.2186 0.3206

Σ 531.7681 1.0000 -0.1286

0.0198

NUDO 6 I / L FD -0.0137

K6-5 180.45 0.6082 0.0020

K6-12 116.2574 0.3918 -0.0043

Σ 296.7078 1.0000 0.0004

-0.0009

NUDO 7 I / L FD 0.0001

K7-1 116.2574 0.2848 -0.0002

K7-8 194.1803 0.4757

K7-13 97.7540 0.2395 0.6211

Σ 408.1917 1.0000

1

H31
REQUE: 2°
Page 304: cortante deVIGAS 01.xlsx

NUDO 8 I / L FD

K8-7 194.1803 0.2974

K8-2 116.2574 0.1781

K8-9 244.7203 0.3748

K8-14 97.7540 0.1497

Σ 652.9120 1.0000

NUDO 9 I / L FD

K9-8 244.7203 0.3075

K9-3 116.2574 0.1461

K9-10 337.0676 0.4236

K9-15 97.7540 0.1228

Σ 795.7994 1.0000

NUDO 10 I / L FD

K10-9 337.0676 0.4288

K10-4 116.2574 0.1479

K10-11 235.0603 0.2990

K10-16 97.7540 0.1243

Σ 786.1394 1.0000 0.2395

NUDO 11 I / L FD

K11-10 235.0603 0.3734 0.5392

K11-5 116.2574 0.1847

K11-12 180.4503 0.2866 0.0390

K11-17 97.7540 0.1553

Σ 629.5221 1.0000 0.5392

NUDO 12 I / L FD 0.0332

K12-11 180.4503 0.4575

K12-6 116.2574 0.2947 0.0034

K12-18 97.7540 0.2478

Σ 394.4618 1.0000 0.0007

0.0001

1.1549

0.5774

0.0001

0.0004

0.0017

0.0166

0.2696

7

Page 305: cortante deVIGAS 01.xlsx

0.0195

0.2696

13

Page 306: cortante deVIGAS 01.xlsx

CROSS- PORTICO A - A

2 3 4 50.29 0.29 0.29 0.29

8 9 10 111.28 0.29 1.28 1.28

14 15 16 17

3.65 2.65 3.8 4.95

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M7-8 -2.25 Tn-m

M8-7 2.25 Tn-m

M8-9 -1.42 Tn-m

M9-8 1.42 Tn-m

M9-10 -0.17 Tn-m

M10-9 0.17 Tn-m

M10-11 -1.54 Tn-m

M11-10 1.54 Tn-m

M11-12 -2.61 Tn-m

M12-11 2.61 Tn-m

DESARROLLO DEL CROSS - PORTICO A - A

0.6255 0.3498 0.4408 0.3506

-0.5184 0.5184 0.2094 -0.3264 0.3264

0.1237 0.0619

-0.0444 -0.0888 -0.0532 -0.11191455 -0.0560

0.0133 0.0066 -0.1196 -0.01724723 -0.0345

0.0228 0.0455 0.0273 0.0574 0.0287

-0.2148 -0.1074 0.0088 0.00173442 0.0035

0.0169 0.0339 0.0203 0.0427 0.0213

-0.0230 -0.0115 -0.0446 0.00246821 0.0049

0.0094 0.0188 0.0112 0.0236 0.0118

-0.0071 -0.0036 -0.0044 -0.0024506 -0.0049

0.0018 0.0037 0.0022 0.0046 0.0023

-0.0014 -0.0007 -0.0006 -0.0007 -0.0014

0.0003 0.0007 0.0004 0.0009 0.0004

-0.0003 -0.0001 -0.0001 -0.00016148 -0.0003

0.0001 0.0001 0.0001 0.0002 0.0001

-0.6211 0.0000 0.0000 -0.0001

0.4775 -0.1522 -0.3253

1 2 3

L32
REQUE: 3°
P32
REQUE:4
Page 307: cortante deVIGAS 01.xlsx

0.3023

-0.3169 -2.2755 0.7152

1.3407 0.0000 0.0000

-0.0001 0.0000 -0.0001 0.00000.0002 0.0000 0.0001 0.0001

-0.0004 -0.0002 -0.0005 -0.0002

0.0009 0.0002 0.0003 0.0007

-0.0021 -0.0012 -0.0024 -0.0012

0.0041 0.0011 0.0020 0.0039

-0.0069 -0.0089 -0.0187 -0.0094

0.0395 0.0056 0.0113 0.0226

-0.0643 -0.0893 -0.1879 -0.0939

0.6412 0.0101 -0.0444 -0.0888

0.0040 0.0177 0.0372 0.0186

0.0463 0.0136 -0.1515 -0.3031

0.0370 -0.2391 -0.5033 -0.2517

0.6412 -0.0266 -1.4175 1.4175

0.2848 0.1781 0.3748 0.3075

0.4757 0.2974 0.1497 0.1228

-2.2514 2.2514

1.0710 0.5355 -0.1211

-0.1997 -0.3994 -0.2010

0.0774 0.0387 -0.0355

0.0148 0.0295 0.0149

1.0710 0.5355 0.0090

-0.0745 -0.1491 -0.0750

0.0660 0.0330 0.0016

-0.0074 -0.0149 -0.0075

0.0068 0.0034 0.0003

-0.0010 -0.0019 -0.0010

0.0015 0.0007 0.0001

-0.0002 -0.0004 -0.0002

0.0003 0.0001 0.0000

0.0000 -0.0001 0.0000

-0.2255 2.8623 -0.2699 -0.1456

-0.1354 -0.0728

0.0000 0.0000

-0.0001 0.0000

-0.0010 0.0001

-0.0037 0.0008

-0.0375 0.0045

8

L70
REQUE:5
P70
REQUE:6
I71
REQUE: 1°
Page 308: cortante deVIGAS 01.xlsx

0.0074 -0.017740181

-0.1005 -0.0605

13 14 15

Page 309: cortante deVIGAS 01.xlsx

6

12

18

DESARROLLO DEL CROSS - PORTICO A - A

0.4829 0.4896 0.3415 0.4420

0.1665 -0.1721 0.1721 0.1689 -0.3538 0.3538

0.0690 0.1380

-0.0164 -0.0475 -0.0238

-0.0720 0.0334 0.0668 0.0230 0.0466 0.0233

0.0016 0.0048 0.0024 0.0929 -0.0368 -0.0736

-0.0211 -0.0143 -0.0286 -0.0099 -0.0200 -0.0100

0.0023 0.0068 0.0034 0.0066 0.0031 0.0062

0.0054 -0.0032 -0.0064 -0.0022 -0.0045 -0.0022

-0.0023 -0.0068 -0.0034 -0.0008 0.0010 0.0021

0.0009 0.0008 0.0015 0.0005 0.0011 0.0005

-0.0007 -0.0019 -0.0010 -0.0002 -0.0001 -0.0002

0.0002 0.0003 0.0006 0.0002 0.0004 0.0002

-0.0002 -0.0004 -0.0002 -0.0001 -0.0001 -0.0001

0.0000 0.0001 0.0002 0.0001 0.0001 0.0001

0.0000 -0.0001 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

3 4 5

T32
REQUE:11
Page 310: cortante deVIGAS 01.xlsx

-0.1022 -0.2002 0.0000 0.4380

0.1836 0.1102 -0.2938

-0.1809 0.2028 -0.8603 2.2915

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0001 0.0000 0.0000 0.0000

-0.0001 0.0000 0.0000 0.0000

0.0003 -0.0001 -0.0002 -0.0001

-0.0003 0.0001 0.0001 0.0002

0.0019 -0.0005 -0.0010 -0.0005

-0.0012 0.0003 0.0003 0.0006

0.0107 -0.0016 -0.0032 -0.0016

0.0012 -0.0011 -0.0038 -0.0075

-0.0422 0.0133 0.0268 0.0134

0.0008 -0.0049 -0.0235 -0.0470

-0.1440 0.1858 0.3758 0.1879

-0.0082 0.0115 0.3048 0.6097

-1.5364 1.5364

0.1461 0.1479 0.2990 0.3734

0.4236 0.4288 0.1243 0.1553

-0.1721 0.1721

-0.4175 -0.2087

0.2694 0.5388 0.1563 0.2536

-0.1223 -0.0612

0.0192 0.0384 0.0111 -0.0195

0.0312 0.0156

-0.0023 -0.0046 -0.0013 -0.0031

0.0054 0.0027

-0.0007 -0.0014 -0.0004 0.0002

0.0010 0.0005

-0.0001 -0.0003 -0.0001 0.0001

0.0002 0.0001

0.0000 -0.0001 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-0.3886 0.4919 0.1656 0.2312

0.0828 0.1156

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

-0.0002 0.0001

-0.0007 -0.0016

910

X69
REQUE:10
T70
REQUE:12
Page 311: cortante deVIGAS 01.xlsx

0.0056 -0.0098

0.0781 0.1268

15 16 17

Page 312: cortante deVIGAS 01.xlsx

ELEMENTOS

VS

COLUMNA

NUDO 1

K1-2

K1-7

Σ

NUDO 2

K2-1

K2-3

K2-8

Σ

NUDO 3

K3-2

K3-4

K3-9

Σ

NUDO 4

K4-3

K4-5

K4-10

0.3393 0.6082 0.3918 Σ

0.2186 -0.6003 0.6003 -0.3842

-0.0657 -0.1314 -0.0847 NUDO 5

0.0683 0.1060 0.0530 -0.0282 K5-4

0.1508 -0.0075 -0.0150 -0.0097 K5-6

K5-11

-0.0364 -0.0565 -0.0283 0.0034 Σ

-0.0116 0.0076 0.0151 0.0098

0.0031 0.0048 0.0024 -0.0003 NUDO 6

-0.0019 -0.0006 -0.0013 -0.0008 K6-5

0.0010 0.0016 0.0008 0.0000 K6-12

0.0001 -0.0003 -0.0005 -0.0003 Σ

-0.0001 -0.0001 -0.0001 0.0000

0.0000 0.0000 0.0000 0.0000 NUDO 7

-0.0001 -0.0001 0.0000 0.0000 K7-1

0.0000 0.0000 0.0000 0.0000 K7-8

0.0000 0.0000 0.0000 K7-13

0.0000 0.4950 -0.4950 Σ

5 6

AB31
REQUE:8
Y32
REQUE:9
Page 313: cortante deVIGAS 01.xlsx

0.1733 -0.6113

NUDO 8

K8-7

K8-2

0.2929 K8-9

-0.8615 K8-14

0.0000 0.0000 Σ

0.0000 0.0000

0.0000 0.0000 NUDO 9

0.0000 0.0000 K9-8

0.0001 -0.0002 K9-3

0.0000 0.0001 K9-10

0.0003 -0.0004 K9-15

0.0005 -0.0006 Σ

-0.0037 0.0049

0.0015 0.0067 NUDO 10

-0.0232 -0.0048 K10-9

-0.0182 -0.0565 K10-4

0.3015 -0.0423 K10-11

0.0341 -0.7684 K10-16

0.1847 0.2947 0.2478 Σ

0.2866 0.4575

-2.6071 2.6071 NUDO 11

-0.5963 -1.1926 -0.6461 K11-10

0.4680 0.2340 K11-5

-0.0438 -0.0877 -0.0475 K11-12

-0.0361 -0.0180 K11-17

0.0052 0.0105 0.0057 Σ

-0.0058 -0.0029

-0.0005 -0.0009 -0.0005 NUDO 12

0.0004 0.0002 K12-11

0.0000 0.0001 0.0000 K12-6

0.0001 0.0001 K12-18

0.0000 0.0000 0.0000 Σ

0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

-2.8156 1.5498 -0.6883

-0.3442

0.0000

0.0000

0.0000

-0.0002

0.0028

11 12

AB69
REQUE: 7°
Page 314: cortante deVIGAS 01.xlsx

-0.0238-0.3230

17 18

Page 315: cortante deVIGAS 01.xlsx

CROSS- PORTICO B - B

b h INERCIAS 1 2 30.25 0.35 89322.92 0.29 0.29

0.25 0.25 32552.08 2.8

7 8 91.07 0.29

I / L FD 3.33194.18 0.6255 13 14 15

116.2574 0.3745 4.6 3.65310.4377 1.0000

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)I / L FD M1-2 -0.52 Tn-m M7-8 -1.89 Tn-m

194.18 0.3498 M2-1 0.52 Tn-m M8-7 1.89 Tn-m

244.7203 0.4408 M2-3 -0.33 Tn-m M8-9 -0.33 Tn-m

116.2574 0.2094 M3-2 0.33 Tn-m M9-8 0.33 Tn-m

555.1580 1.0000 M3-4 -0.17 Tn-m M9-10 -0.75 Tn-m

M4-3 0.17 Tn-m M10-9 0.75 Tn-m

I / L FD M4-5 -0.35 Tn-m M10-11 -0.35 Tn-m

244.7203 0.3506 M5-4 0.35 Tn-m M11-10 0.35 Tn-m

337.0676 0.4829 M5-6 -0.60 Tn-m M11-12 -2.27 Tn-m

116.2574 0.1665 M6-5 0.60 Tn-m M12-11 2.27 Tn-m

698.0454 1.0000

I / L FD

337.0676 0.4896

235.0603 0.3415

116.2574 0.1689

688.3854 1.0000 0.3745 0.6255

0.2696 -0.5184

I / L FD 0.0932 0.1557

235.0603 0.4420 0.0355 -0.0472

180.4503 0.3393 0.0044 0.0073

116.2574 0.2186 0.2696 0.0332

531.7681 1.0000 -0.1134 -0.1894

0.0188 0.0238

I / L FD -0.0159 -0.0266

180.45 0.6082 0.0024 0.0129

116.2574 0.3918 -0.0057 -0.0096

296.7078 1.0000 0.0006 0.0029

-0.0013 -0.0022

I / L FD 0.0001 0.0006

116.2574 0.2848 -0.0003 -0.0005

194.1803 0.4757 0.0001

97.7540 0.2395 0.5574 -0.5573

408.1917 1.0000

111

AK31
REQUE: 2°
Page 316: cortante deVIGAS 01.xlsx

I / L FD

194.1803 0.2974

116.2574 0.1781

244.7203 0.3748

97.7540 0.1497 1.1734

652.9120 1.0000 -0.0001

0.0003

I / L FD -0.0006

244.7203 0.3075 0.0012

116.2574 0.1461 -0.0029

337.0676 0.4236 0.0048

97.7540 0.1228 -0.0080

795.7994 1.0000 0.0376

-0.0567

I / L FD 0.5391

337.0676 0.4288 0.0022

116.2574 0.1479 0.0709

235.0603 0.2990 0.0466

97.7540 0.1243 0.5391

786.1394 1.0000 0.2395 0.2848

0.4757

I / L FD -1.8929

235.0603 0.3734 0.4533 0.9005

116.2574 0.1847 -0.2957

180.4503 0.2866 0.0597 0.1185

97.7540 0.1553 -0.0301

629.5221 1.0000 0.4533 0.9005

-0.0752

I / L FD 0.0316 0.0627

180.4503 0.4575 -0.0087

116.2574 0.2947 0.0040 0.0079

97.7540 0.2478 -0.0013

394.4618 1.0000 0.0010 0.0020

-0.0003

0.0002 0.0004

-0.0001

1.0031 -0.3117

0.5015

0.0001

0.0005

0.0020

0.0158

0.2267

777

AL71
REQUE: 1°
Page 317: cortante deVIGAS 01.xlsx

0.0298

0.2267131313

Page 318: cortante deVIGAS 01.xlsx

CROSS- PORTICO B - B

4 5 60.29 0.29 0.29

10 11 121.28 0.29 1.11

16 17 18

2.65 3.8 4.95

DESARROLLO DEL CROSS - PORTICO B - B

0.3498 0.4408 0.3506 0.4829

0.5184 0.2094 -0.3264 0.3264 0.1665 -0.1721

0.0778

-0.0944 -0.0565 -0.11895392 -0.0595

0.0037 -0.1770 -0.01663027 -0.0333 -0.0158 -0.0458

0.0665 0.0398 0.0838 0.0419 0.0585 0.0324

-0.0947 -0.0180 -0.02327579 -0.0466 -0.0221 -0.0641

0.0476 0.0285 0.0599 0.0300 0.0196 0.0393

-0.0133 -0.0450 -0.0155751 -0.0312 -0.0148 -0.0429

0.0259 0.0155 0.0326 0.0163 0.0093 0.0108

-0.0048 -0.0052 -0.00637753 -0.0128 -0.0061 -0.0176

0.0057 0.0034 0.0072 0.0036 0.0016 0.0036

-0.0011 -0.0008 -0.0015 -0.0031 -0.0015 -0.0042

0.0012 0.0007 0.0015 0.0008 0.0003 0.0009

-0.0002 -0.0002 -0.00034209 -0.0007 -0.0003 -0.0009

0.0003 0.0002 0.0003 0.0002 0.0001 0.0002

0.0000 -0.0001 -0.0002 -0.0001 -0.0002

0.5385 -0.2148 -0.3238 0.0000 0.0000

2 32 32 3

AO32
REQUE: 3°
AS32
REQUE:4
Page 319: cortante deVIGAS 01.xlsx

0.2320 0.0287 -0.2606

-0.4768 -1.1753 0.1841 0.1484

0.0000 0.0001 0.0000

-0.0001 -0.0002 -0.0001 0.0000

0.0001 0.0001 0.0003 0.0001

-0.0004 -0.0007 -0.0004 -0.0002

0.0004 0.0006 0.0013 0.0006

-0.0016 -0.0034 -0.0017 -0.0007

0.0017 0.0034 0.0067 0.0032

-0.0104 -0.0220 -0.0110 -0.0030

0.0077 0.0195 0.0391 0.0186

-0.0900 -0.1895 -0.0948 -0.0074

0.0142 0.0412 0.0824 0.0391

-0.0360 -0.0758 -0.0379 -0.0111

0.0199 0.1232 0.2464 0.1171

-0.3541 -0.7453 -0.3726 -0.0079

-0.0283 -0.3264 0.3264

0.1781 0.3748 0.3075 0.1461

0.2974 0.1497 0.1228 0.4236

1.8929 -0.7472

0.4502 0.0984 0.3394

-0.5914 -0.2977 -0.2189

0.0592 0.0329 0.1135

-0.0602 -0.0303 -0.0249

0.4502 0.0156 0.0538

-0.1504 -0.0757 -0.0078

0.0314 0.0027 0.0093

-0.0174 -0.0088 -0.0017

0.0040 0.0005 0.0017

-0.0027 -0.0014 -0.0004

0.0010 0.0001 0.0004

-0.0006 -0.0003 -0.0001

0.0002 0.0000 0.0001

-0.0001 -0.0001 0.0000

2.0663 -0.4142 0.1503 -0.4828

-0.2078 0.0751

0.0000 0.0000

-0.0001 0.0001

-0.0013 0.0003

-0.0044 0.0013

-0.0379 0.0078

8 98 98 9

AO70
REQUE:5
AS70
REQUE:6
Page 320: cortante deVIGAS 01.xlsx

-0.0151 0.016455231

-0.1489 0.0492

14 1514 1514 15

Page 321: cortante deVIGAS 01.xlsx

0.4896 0.3415 0.4420 0.3393

0.1721 0.1689 -0.3538 0.3538 0.2186 -0.6003

-0.0810

0.0724 0.1448 0.0716 0.1112

-0.0229 0.2211 -0.0039

0.0648 0.0223 0.0452 0.0226

-0.0321 -0.0755 -0.0530 -0.1060 -0.0524 -0.0814

0.0786 0.0271 0.0548 0.0274 0.0227 0.0138

-0.0215 -0.0086 -0.0141 -0.0283 -0.0140 -0.0217

0.0216 0.0075 0.0151 0.0075 0.0029 0.0039

-0.0088 -0.0027 -0.0032 -0.0064 -0.0031 -0.0049

0.0072 0.0025 0.0050 0.0025 0.0009 0.0009

-0.0021 -0.0006 -0.0010 -0.0019 -0.0010 -0.0015

0.0018 0.0006 0.0013 0.0006 0.0002 0.0003

-0.0005 -0.0001 -0.0002 -0.0005 -0.0002 -0.0004

0.0004 0.0001 0.0003 0.0001 0.0001 0.0001

-0.0001 0.0000 -0.0001 -0.0001 -0.0001 -0.0001

0.0001 0.0000 0.0001 0.0000 0.0000

4 54 54 5

AW32
REQUE:11
BB32
REQUE:9
Page 322: cortante deVIGAS 01.xlsx

0.0000 0.4163 0.2487 -0.6649

0.2586 -0.0274 -0.2313

-0.1450 -0.2065 1.1793 0.4962

0.0000 0.0000 0.0000

0.0000 0.0000 0.0001 0.0000

-0.0001 -0.0001 -0.0001 0.0000

0.0001 0.0001 0.0002 0.0001

-0.0002 -0.0005 -0.0002 -0.0001

0.0003 0.0005 0.0009 0.0005

-0.0011 -0.0023 -0.0012 -0.0005

0.0012 0.0019 0.0038 0.0019

-0.0054 -0.0109 -0.0055 -0.0016

0.0037 0.0059 0.0119 0.0059

-0.0172 -0.0347 -0.0174 -0.0070

0.0136 0.0458 0.0916 0.0453

-0.1510 -0.3054 -0.1527 -0.0262

0.0112 0.4470 0.8939 0.4421

-0.3538 0.3538 0.0358

0.1479 0.2990 0.3734 0.1847

0.4288 0.1243 0.1553 0.2866

0.7472 -2.2655

0.1697 -0.5182

-0.4379 -0.1270 0.3718 0.6863

0.0567 -0.0665

-0.0498 -0.0144 0.0381 0.0704

0.0269 -0.0075

-0.0157 -0.0045 0.0049 0.0091

0.0046 -0.0031

-0.0033 -0.0010 0.0016 0.0029

0.0009 -0.0009

-0.0007 -0.0002 0.0004 0.0007

0.0002 -0.0002

-0.0002 0.0000 0.0001 0.0002

0.0000 -0.0001

0.0000 0.0000 0.0000 0.0000

0.4987 -0.1472 0.4169 -2.0924

-0.0736 0.2084

0.0000 0.0000

0.0000 0.0000

-0.0001 0.0002

-0.0005 0.0008

-0.0023 0.0025

10 1110 1110 11

BA69
REQUE:10
AW70
REQUE:12
Page 323: cortante deVIGAS 01.xlsx

-0.0072 0.0191

-0.0635 0.1859

16 1716 1716 17

Page 324: cortante deVIGAS 01.xlsx

ELEMENTOS b h INERCIAS

VS 0.25 0.35 89322.92

COLUMNA 0.25 0.25 32552.08

NUDO 1 I / L FD

K1-2 194.18 0.6255

K1-7 116.2574 0.3745

Σ 310.4377 1.0000

NUDO 2 I / L FD

K2-1 194.18 0.3498

K2-3 244.7203 0.4408

K2-8 116.2574 0.2094

Σ 555.1580 1.0000

NUDO 3 I / L FD

K3-2 244.7203 0.3506

K3-4 337.0676 0.4829

K3-9 116.2574 0.1665

Σ 698.0454 1.0000

NUDO 4 I / L FD

K4-3 337.0676 0.4896

K4-5 235.0603 0.3415

K4-10 116.2574 0.1689

0.6082 0.3918 Σ 688.3854 1.0000

0.6003 -0.3338

-0.1621 -0.1044 NUDO 5 I / L FD

0.0556 -0.0429 K5-4 235.0603 0.4420

-0.0077 -0.0050 K5-6 180.4503 0.3393

K5-11 116.2574 0.2186

-0.0407 -0.0048 Σ 531.7681 1.0000

0.0277 0.0178

-0.0108 -0.0020 NUDO 6 I / L FD

0.0078 0.0050 K6-5 180.45 0.6082

-0.0024 -0.0006 K6-12 116.2574 0.3918

0.0018 0.0012 Σ 296.7078 1.0000

-0.0007 -0.0001

0.0005 0.0003 NUDO 7 I / L FD

-0.0002 0.0000 K7-1 116.2574 0.2848

0.0001 0.0001 K7-8 194.1803 0.4757

0.0000 K7-13 97.7540 0.2395

0.4691 -0.4692 Σ 408.1917 1.0000

666

BE31
REQUE:8
Page 325: cortante deVIGAS 01.xlsx

NUDO 8 I / L FD

K8-7 194.1803 0.2974

K8-2 116.2574 0.1781

K8-9 244.7203 0.3748

-0.8110 K8-14 97.7540 0.1497

0.0000 Σ 652.9120 1.0000

-0.0001

0.0002 NUDO 9 I / L FD

-0.0003 K9-8 244.7203 0.3075

0.0006 K9-3 116.2574 0.1461

-0.0012 K9-10 337.0676 0.4236

0.0025 K9-15 97.7540 0.1228

-0.0040 Σ 795.7994 1.0000

0.0089

-0.0096 NUDO 10 I / L FD

-0.0025 K10-9 337.0676 0.4288

-0.0857 K10-4 116.2574 0.1479

-0.0522 K10-11 235.0603 0.2990

-0.6677 K10-16 97.7540 0.1243

0.2947 0.2478 Σ 786.1394 1.0000

0.4575

2.2655 NUDO 11 I / L FD

-1.0364 -0.5614 K11-10 235.0603 0.3734

0.3431 K11-5 116.2574 0.1847

-0.1331 -0.0721 K11-12 180.4503 0.2866

0.0352 K11-17 97.7540 0.1553

-0.0150 -0.0081 Σ 629.5221 1.0000

0.0046

-0.0062 -0.0033 NUDO 12 I / L FD

0.0015 K12-11 180.4503 0.4575

-0.0018 -0.0010 K12-6 116.2574 0.2947

0.0004 K12-18 97.7540 0.2478

-0.0004 -0.0002 Σ 394.4618 1.0000

0.0001

-0.0001 -0.0001

0.0000

1.4573 -0.6462

-0.3231

0.0000

-0.0001

-0.0005

-0.0017

-0.0041

121212

BE69
REQUE: 7°
Page 326: cortante deVIGAS 01.xlsx

-0.0360-0.2807

181818

Page 327: cortante deVIGAS 01.xlsx

CROSS- PORTICO C - C

1 2 3 40.29 0.29 0.29 0.29

2.8

7 8 9 101.28 0.29 1.28 1.03

3.33

13 14 15 16

4.6 3.65 2.65 3.8

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)M1-2 -0.52 Tn-m M7-8 -2.25 Tn-m

M2-1 0.52 Tn-m M8-7 2.25 Tn-m

M2-3 -0.33 Tn-m M8-9 -0.33 Tn-m

M3-2 0.33 Tn-m M9-8 0.33 Tn-m

M3-4 -0.17 Tn-m M9-10 -0.75 Tn-m

M4-3 0.17 Tn-m M10-9 0.75 Tn-m

M4-5 -0.35 Tn-m M10-11 -1.24 Tn-m

M5-4 0.35 Tn-m M11-10 1.24 Tn-m

M5-6 -0.60 Tn-m M11-12 -2.27 Tn-m

M6-5 0.60 Tn-m M12-11 2.27 Tn-m

DESARROLLO DEL CROSS - PORTICO C - C

0.3745 0.6255 0.3498 0.4408

0.3206 -0.5184 0.5184 0.2094 -0.3264

0.0741 0.1237 0.0619

0.0463 -0.0444 -0.0888 -0.0532 -0.11191455-0.0007 -0.0012 -0.0006 -0.2167 -0.017247230.3206 0.0410 0.0820 0.0491 0.1034-0.1354 -0.2262 -0.1131 -0.0212 -0.026105450.0215 0.0281 0.0561 0.0336 0.0707-0.0186 -0.0310 -0.0155 -0.0499 -0.009867490.0026 0.0132 0.0263 0.0158 0.0332-0.0059 -0.0099 -0.0049 -0.0055 -0.00529390.0006 0.0027 0.0055 0.0033 0.0069-0.0013 -0.0021 -0.0011 -0.0008 -0.00130.0001 0.0006 0.0011 0.0007 0.0014-0.0003 -0.0004 -0.0002 -0.0002 -0.00029409

0.0001 0.0002 0.0001 0.00030.6243 -0.6242 0.0000 -0.0001

0.5274 -0.2449 -0.2826

1 21 21 2

BN31
REQUE: 2°
BR32
REQUE: 3°
Page 328: cortante deVIGAS 01.xlsx

-0.5639 -1.3993

1.3807 0.0000

-0.0001 -0.0001 -0.0002

0.0003 0.0001 0.0001

-0.0006 -0.0003 -0.0007

0.0012 0.0003 0.0006

-0.0030 -0.0016 -0.0034

0.0053 0.0016 0.0031

-0.0093 -0.0110 -0.0231

0.0430 0.0079 0.0178

-0.0677 -0.0999 -0.2102

0.6412 0.0168 0.0085

-0.0003 -0.0424 -0.0892

0.0925 0.0246 0.1361

0.0370 -0.4334 -0.9123

0.6412 -0.0266 -0.3264

0.2395 0.2848 0.1781 0.3748

0.4757 0.2974 0.1497

-2.2514 2.2514

0.5392 1.0710 0.5355

-0.3619 -0.7239 -0.3644

0.0778 0.1546 0.0773

-0.0354 -0.0708 -0.0356

0.5392 1.0710 0.5355

-0.0834 -0.1668 -0.0840

0.0362 0.0719 0.0359

-0.0092 -0.0183 -0.0092

0.0044 0.0088 0.0044

-0.0014 -0.0027 -0.0014

0.0010 0.0021 0.0010

-0.0003 -0.0006 -0.0003

0.0002 0.0004 0.0002

-0.0001 -0.0001 -0.0001

1.1980 -0.3633 2.4582 -0.4949

0.5990 -0.2481

0.0001 0.0000

0.0005 -0.0001

0.0022 -0.0014

0.0181 -0.0046

0.2696 -0.0420

7 87 87 8

BR70
REQUE:5
BO71
REQUE: 1°
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0.0389 -0.0178

0.2696 -0.182213 1413 1413 14

Page 330: cortante deVIGAS 01.xlsx

5 60.29

11 121.11

17 18

4.95

DESARROLLO DEL CROSS - PORTICO C - C

0.3506 0.4829 0.4896 0.3415

0.3264 0.1665 -0.1721 0.1721 0.1689 -0.3538

-0.0560 0.0724

-0.0345 -0.0164 -0.0475 -0.0238

0.0517 0.0647 0.0326 0.0652 0.0225 0.0454

-0.0522 -0.0248 -0.0719 -0.0360 0.0006 -0.0338

0.0354 0.0040 0.0169 0.0338 0.0117 0.0236

-0.0197 -0.0094 -0.0272 -0.0136 -0.0020 -0.0054

0.0166 0.0084 0.0052 0.0103 0.0036 0.0072

-0.0106 -0.0050 -0.0146 -0.0073 -0.0020 -0.0013

0.0035 0.0015 0.0026 0.0052 0.0018 0.0036

-0.0026 -0.0013 -0.0036 -0.0018 -0.0005 -0.0006

0.0007 0.0003 0.0007 0.0014 0.0005 0.0010

-0.0006 -0.0003 -0.0008 -0.0004 -0.0001 -0.0002

0.0001 0.0001 0.0002 0.0003 0.0001 0.0002

-0.0001 -0.0001 -0.0002 -0.0001 0.0000 0.0000

0.0000 0.0000 0.0001 0.0000 0.0001

3 43 43 4

BV32
REQUE:4
BZ32
REQUE:11
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0.2580 0.0217 -0.2797 0.0000

0.2055 0.0361 -0.2416

0.0392 0.1293 0.0120 -0.9579

0.0001 0.0000 0.0000 0.0000

-0.0001 0.0000 0.0000 0.0000

0.0002 0.0001 0.0000 -0.0001

-0.0004 -0.0001 0.0001 0.0001

0.0011 0.0005 -0.0002 -0.0004

-0.0017 -0.0006 0.0002 0.0003

0.0061 0.0029 -0.0009 -0.0019

-0.0115 -0.0025 0.0009 0.0012

0.0356 0.0169 -0.0041 -0.0083

-0.1051 -0.0047 0.0018 0.0013

0.0170 0.0081 -0.0041 -0.0082

-0.0446 -0.0124 0.0058 0.0099

0.2722 0.1293 0.0013 0.0026

-0.4561 -0.0082 0.0112 0.2822

0.3264 -1.2366

0.3075 0.1461 0.1479 0.2990

0.1228 0.4236 0.4288 0.1243

-0.7472 0.7472

0.1087 0.3749 0.1875

0.0018 0.0037 0.0011

0.0068 0.0234 0.0117

-0.0059 -0.0118 -0.0034

0.0142 0.0490 0.0245

-0.0059 -0.0118 -0.0034

0.0025 0.0085 0.0042

-0.0013 -0.0027 -0.0008

0.0005 0.0016 0.0008

-0.0003 -0.0006 -0.0002

0.0001 0.0003 0.0002

-0.0001 -0.0001 0.0000

0.0000 0.0001 0.0000

0.0000 0.0000 0.0000

0.1327 -0.3012 0.9527 -0.0068

0.0664 -0.0034

0.0000 0.0000

0.0000 0.0000

0.0002 -0.0001

0.0012 -0.0004

0.0071 -0.0017

910

910

910

BV70
REQUE:6
BZ70
REQUE:12
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0.003387652 -0.0017

0.0544 0.0005

15 1615 1615 16

Page 333: cortante deVIGAS 01.xlsx

0.4420 0.3393 0.6082 0.3918

0.3538 0.2186 -0.6003 0.6003 -0.3338

-0.0810 -0.1621 -0.1044

0.1448 0.0716 0.1112 0.0556 -0.0242

0.1395 -0.0095 -0.0191 -0.0123

0.0227

-0.0675 -0.0334 -0.0518 -0.0259 -0.0002

0.0118 0.0049 0.0079 0.0159 0.0102

-0.0109 -0.0054 -0.0084 -0.0042 -0.0009

0.0036 0.0007 0.0015 0.0031 0.0020

-0.0026 -0.0013 -0.0020 -0.0010 -0.0003

0.0018 0.0006 0.0004 0.0008 0.0005

-0.0012 -0.0006 -0.0009 -0.0005 -0.0001

0.0005 0.0002 0.0002 0.0003 0.0002

-0.0004 -0.0002 -0.0003 -0.0001 0.0000

0.0001 0.0000 0.0000 0.0001 0.0001

-0.0001 0.0000 -0.0001 0.0000

0.0000 0.0000 0.4632 -0.4633

5 65 65 6

CH31
REQUE:8
CE32
REQUE:9
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0.4565 0.1766 -0.6331

1.8183 0.3071

0.0000 -0.7710

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 0.0001 0.0001

-0.0002 -0.0001 -0.0001

0.0006 0.0003 0.0002

-0.0009 -0.0003 -0.0006

0.0023 0.0011 0.0010

-0.0041 -0.0006 -0.0018

0.0027 0.0013 0.0051

-0.0041 -0.0027 -0.0004

0.0198 0.0098 -0.0061

0.0013 -0.0167 -0.0485

0.5643 0.2791 -0.05221.2366 0.0358 -0.6677

0.3734 0.1847 0.2947 0.2478

0.1553 0.2866 0.4575

-2.2655 2.2655

-0.5182 -1.0364 -0.5614

0.2347 0.4332 0.2166

-0.0376 -0.0752 -0.0407

0.0082 0.0152 0.0076

-0.0003 -0.0007 -0.0004

0.0011 0.0020 0.0010

-0.0014 -0.0028 -0.0015

0.0010 0.0018 0.0009

-0.0004 -0.0009 -0.0005

0.0003 0.0005 0.0002

-0.0001 -0.0002 -0.0001

0.0001 0.0001 0.0001

0.0000 -0.0001 0.0000

0.0000 0.0000 0.0000

0.2453 -2.3708 1.3757 -0.6047

0.1227 -0.3023

0.0000 0.0000

0.0000 -0.0001

0.0001 -0.0002

0.0005 -0.0008

0.0006 -0.0002

11 1211 1211 12

CD69
REQUE:10
CH69
REQUE: 7°
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0.0041 -0.02040.1173 -0.2807

17 1817 1817 18

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CROSS- PORTICO D - D

ELEMENTOS b h INERCIAS 1 2VS 0.25 0.35 89322.92 0.29

COLUMNA 0.25 0.25 32552.08 2.8

7 81.28

NUDO 1 I / L FD 3.33K1-2 194.18 0.6255 13 14

K1-7 116.2574 0.3745 4.6Σ 310.4377 1.0000

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)NUDO 2 I / L FD M1-2 -0.52 Tn-m M7-8

K2-1 194.18 0.3498 M2-1 0.52 Tn-m M8-7

K2-3 244.7203 0.4408 M2-3 -0.33 Tn-m M8-9

K2-8 116.2574 0.2094 M3-2 0.33 Tn-m M9-8

Σ 555.1580 1.0000 M3-4 -0.17 Tn-m M9-10

M4-3 0.17 Tn-m M10-9

NUDO 3 I / L FD M4-5 -0.35 Tn-m M10-11

K3-2 244.7203 0.3506 M5-4 0.35 Tn-m M11-10

K3-4 337.0676 0.4829 M5-6 -0.60 Tn-m M11-12

K3-9 116.2574 0.1665 M6-5 0.60 Tn-m M12-11

Σ 698.0454 1.0000

NUDO 4 I / L FD

K4-3 337.0676 0.4896

K4-5 235.0603 0.3415

K4-10 116.2574 0.1689

Σ 688.3854 1.0000 0.3745 0.6255

0.3206 -0.5184

NUDO 5 I / L FD 0.0741 0.1237

K5-4 235.0603 0.4420 0.0232 -0.0444

K5-6 180.4503 0.3393 0.0080 0.0133

K5-11 116.2574 0.2186 0.3206 0.0228

Σ 531.7681 1.0000 -0.1286 -0.2148

0.0198 0.0169

NUDO 6 I / L FD -0.0137 -0.0230

K6-5 180.45 0.6082 0.0020 0.0094

K6-12 116.2574 0.3918 -0.0043 -0.0071

Σ 296.7078 1.0000 0.0004 0.0018

-0.0009 -0.0014

NUDO 7 I / L FD 0.0001 0.0003

K7-1 116.2574 0.2848 -0.0002 -0.0003

K7-8 194.1803 0.4757 0.0001

K7-13 97.7540 0.2395 0.6211 -0.6211

Σ 408.1917 1.0000

111

CQ31
REQUE: 2°
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NUDO 8 I / L FD

K8-7 194.1803 0.2974

K8-2 116.2574 0.1781

K8-9 244.7203 0.3748

K8-14 97.7540 0.1497 1.3407

Σ 652.9120 1.0000 -0.0001

0.0002

NUDO 9 I / L FD -0.0004

K9-8 244.7203 0.3075 0.0009

K9-3 116.2574 0.1461 -0.0021

K9-10 337.0676 0.4236 0.0041

K9-15 97.7540 0.1228 -0.0069

Σ 795.7994 1.0000 0.0395

-0.0643

NUDO 10 I / L FD 0.6412

K10-9 337.0676 0.4288 0.0040

K10-4 116.2574 0.1479 0.0463

K10-11 235.0603 0.2990 0.0370

K10-16 97.7540 0.1243 0.6412

Σ 786.1394 1.0000 0.2395 0.2848

0.4757

NUDO 11 I / L FD -2.2514

K11-10 235.0603 0.3734 0.5392 1.0710

K11-5 116.2574 0.1847 -0.1997

K11-12 180.4503 0.2866 0.0390 0.0774

K11-17 97.7540 0.1553 0.0148

Σ 629.5221 1.0000 0.5392 1.0710

-0.0745

NUDO 12 I / L FD 0.0332 0.0660

K12-11 180.4503 0.4575 -0.0074

K12-6 116.2574 0.2947 0.0034 0.0068

K12-18 97.7540 0.2478 -0.0010

Σ 394.4618 1.0000 0.0007 0.0015

-0.0002

0.0001 0.0003

0.0000

1.1549 -0.2255

0.5774

0.0001

0.0004

0.0017

0.0166

0.2696

777

CR71
REQUE: 1°
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0.0195

0.2696131313

Page 339: cortante deVIGAS 01.xlsx

CROSS- PORTICO D - D

3 4 5 60.29 0.29 0.29 0.29

9 10 11 121.28 0.29 1.28 1.28

15 16 17 18

3.65 2.65 3.8 4.95

MOMENTOS DE EMPOTRAMIENTO (W*L`^2/12)-2.25 Tn-m

2.25 Tn-m

-1.42 Tn-m

1.42 Tn-m

-0.17 Tn-m

0.17 Tn-m

-1.54 Tn-m

1.54 Tn-m

-2.61 Tn-m

2.61 Tn-m

DESARROLLO DEL CROSS - PORTICO B - B

0.3498 0.4408 0.3506 0.4829

0.5184 0.2094 -0.3264 0.3264 0.1665

0.0619

-0.0888 -0.0532 -0.11191455 -0.0560

0.0066 -0.1196 -0.01724723 -0.0345 -0.0164

0.0455 0.0273 0.0574 0.0287 -0.0720

-0.1074 0.0088 0.00173442 0.0035 0.0016

0.0339 0.0203 0.0427 0.0213 -0.0211

-0.0115 -0.0446 0.00246821 0.0049 0.0023

0.0188 0.0112 0.0236 0.0118 0.0054

-0.0036 -0.0044 -0.0024506 -0.0049 -0.0023

0.0037 0.0022 0.0046 0.0023 0.0009

-0.0007 -0.0006 -0.0007 -0.0014 -0.0007

0.0007 0.0004 0.0009 0.0004 0.0002

-0.0001 -0.0001 -0.00016148 -0.0003 -0.0002

0.0001 0.0001 0.0002 0.0001 0.0000

0.0000 0.0000 -0.0001 0.0000

0.4775 -0.1522 -0.3253 0.0000

2 32 32 3

CU32
REQUE: 3°
CY32
REQUE:4
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0.3023 -0.1022

-0.3169 -2.2755 0.7152 -0.1809

0.0000 0.0000 0.0000

0.0000 -0.0001 0.0000 0.0000

0.0000 0.0001 0.0001 0.0001

-0.0002 -0.0005 -0.0002 -0.0001

0.0002 0.0003 0.0007 0.0003

-0.0012 -0.0024 -0.0012 -0.0003

0.0011 0.0020 0.0039 0.0019

-0.0089 -0.0187 -0.0094 -0.0012

0.0056 0.0113 0.0226 0.0107

-0.0893 -0.1879 -0.0939 0.0012

0.0101 -0.0444 -0.0888 -0.0422

0.0177 0.0372 0.0186 0.0008

0.0136 -0.1515 -0.3031 -0.1440

-0.2391 -0.5033 -0.2517 -0.0082

-0.0266 -1.4175 1.4175

0.1781 0.3748 0.3075 0.1461

0.2974 0.1497 0.1228 0.4236

2.2514 -0.1721

0.5355 -0.1211 -0.4175

-0.3994 -0.2010 0.2694

0.0387 -0.0355 -0.1223

0.0295 0.0149 0.0192

0.5355 0.0090 0.0312

-0.1491 -0.0750 -0.0023

0.0330 0.0016 0.0054

-0.0149 -0.0075 -0.0007

0.0034 0.0003 0.0010

-0.0019 -0.0010 -0.0001

0.0007 0.0001 0.0002

-0.0004 -0.0002 0.0000

0.0001 0.0000 0.0000

-0.0001 0.0000 0.0000

2.8623 -0.2699 -0.1456 -0.3886

-0.1354 -0.0728

0.0000 0.0000

-0.0001 0.0000

-0.0010 0.0001

-0.0037 0.0008

-0.0375 0.0045

888

CU70
REQUE:5
CY70
REQUE:6
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0.0074 -0.017740181

-0.1005 -0.0605

14 1514 1514 15

Page 342: cortante deVIGAS 01.xlsx

0.4896 0.3415 0.4420 0.3393

-0.1721 0.1721 0.1689 -0.3538 0.3538 0.2186

0.0690 0.1380 0.0683

-0.0475 -0.0238 0.1508

0.0334 0.0668 0.0230 0.0466 0.0233

0.0048 0.0024 0.0929 -0.0368 -0.0736 -0.0364

-0.0143 -0.0286 -0.0099 -0.0200 -0.0100 -0.0116

0.0068 0.0034 0.0066 0.0031 0.0062 0.0031

-0.0032 -0.0064 -0.0022 -0.0045 -0.0022 -0.0019

-0.0068 -0.0034 -0.0008 0.0010 0.0021 0.0010

0.0008 0.0015 0.0005 0.0011 0.0005 0.0001

-0.0019 -0.0010 -0.0002 -0.0001 -0.0002 -0.0001

0.0003 0.0006 0.0002 0.0004 0.0002 0.0000

-0.0004 -0.0002 -0.0001 -0.0001 -0.0001 -0.0001

0.0001 0.0002 0.0001 0.0001 0.0001 0.0000

-0.0001 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

4 54 54 5

DC32
REQUE:11
DH32
REQUE:9
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-0.2002 0.0000 0.4380 0.1733

0.1836 0.1102 -0.2938

0.2028 -0.8603 2.2915 0.2929

0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

-0.0001 -0.0002 -0.0001 0.0000

0.0001 0.0001 0.0002 0.0001

-0.0005 -0.0010 -0.0005 0.0000

0.0003 0.0003 0.0006 0.0003

-0.0016 -0.0032 -0.0016 0.0005

-0.0011 -0.0038 -0.0075 -0.0037

0.0133 0.0268 0.0134 0.0015

-0.0049 -0.0235 -0.0470 -0.0232

0.1858 0.3758 0.1879 -0.0182

0.0115 0.3048 0.6097 0.3015

-1.5364 1.5364 0.0341

0.1479 0.2990 0.3734 0.1847

0.4288 0.1243 0.1553 0.2866

0.1721 -2.6071

-0.2087 -0.5963

0.5388 0.1563 0.2536 0.4680

-0.0612 -0.0438

0.0384 0.0111 -0.0195 -0.0361

0.0156 0.0052

-0.0046 -0.0013 -0.0031 -0.0058

0.0027 -0.0005

-0.0014 -0.0004 0.0002 0.0004

0.0005 0.0000

-0.0003 -0.0001 0.0001 0.0001

0.0001 0.0000

-0.0001 0.0000 0.0000 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000 0.0000

0.4919 0.1656 0.2312 -2.8156

0.0828 0.1156

0.0000 0.0000

0.0000 0.0000

0.0000 0.0000

-0.0002 0.0001

-0.0007 -0.0016

910 11

910 11

910 11

DG69
REQUE:10
DC70
REQUE:12
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0.0056 -0.0098

0.0781 0.1268

16 1716 1716 17

Page 345: cortante deVIGAS 01.xlsx

0.6082 0.3918

-0.6003 0.6003 -0.3842

-0.0657 -0.1314 -0.0847

0.1060 0.0530 -0.0282

-0.0075 -0.0150 -0.0097

-0.0565 -0.0283 0.0034

0.0076 0.0151 0.0098

0.0048 0.0024 -0.0003

-0.0006 -0.0013 -0.0008

0.0016 0.0008 0.0000

-0.0003 -0.0005 -0.0003

-0.0001 -0.0001 0.0000

0.0000 0.0000 0.0000

-0.0001 0.0000 0.0000

0.0000 0.0000 0.0000

0.0000 0.0000

0.4950 -0.4950

666

DK31
REQUE:8
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-0.6113

-0.8615

0.0000

0.0000

0.0000

0.0000

-0.0002

0.0001

-0.0004

-0.0006

0.0049

0.0067

-0.0048

-0.0565

-0.0423-0.7684

0.2947 0.2478

0.4575

2.6071

-1.1926 -0.6461

0.2340

-0.0877 -0.0475

-0.0180

0.0105 0.0057

-0.0029

-0.0009 -0.0005

0.0002

0.0001 0.0000

0.0001

0.0000 0.0000

0.0000

0.0000 0.0000

0.0000

1.5498 -0.6883

-0.3442

0.0000

0.0000

0.0000

-0.0002

0.0028

11 1211 1211 12

DK69
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-0.0238-0.3230

181818

Page 348: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 1-1

P TRAMOM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

1°A-B 5.091 9.334 6.958

C-D 6.889 0.221 0.985

2°A-B 3.732 9.660 7.303

C-D 7.937 0.228 0.992

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 45.00 cm

f'c = 210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

fy = 4200 Kg/cm² Ф Asumo: 3/4 1.91

β = 0.85 Ф Estribos: 3/8 0.95

r = 4.00 cm

d: 39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESBARRA DIAMETRO Peso Area 1/2 - 3/8"

N° pulg cm Kg/m cm2 2 Φ 3/8

3 3/8 0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8

4 1/2 1.27 0.993 1.29 3 Φ 3/8

5 5/8 1.59 1.552 1.98 2 Φ 1/2

6 3/4 1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8

7 7/8 2.22 3.042 3.88 4 Φ 3/8

8 1 2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8

9 1 1/8 2.86 5.028 6.45 3 Φ 1/2

10 1 1/4 3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8

11 1 3/8 3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8

12 1 1/2 3.81 8.938 11.4 4 Φ 1/2

COMBINACIONES RECOMENDADAS 1/2 - 5/8"

1/2 - 3/8" 1 Φ 1/2 + 1 Φ 5/8

1/2 - 5/8" 2 Φ 5/8

1/2 - 3/4" 2 Φ 1/2 + 1 Φ 5/8

5/8 - 1" 1 Φ 1/2 + 2 Φ 5/8

3/4 - 1" 3 Φ 1/2 + 1 Φ 5/8

3 Φ 5/8

5/8 - 1" Area (cm2) b min (cm) 2 Φ 1/2 + 2 Φ 5/8

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

B17
REQUE: Base de la viga.
B18
REQUE: Altura de la Viga.
B19
REQUE: Resistencia a la compresion del concreto.
B20
REQUE: Esfuerzo de Fluencia del Acero
D20
REQUE: Acero Longitudinal que asumo para las vigas.
B22
REQUE: Recubrimiento según Norma.
E23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 349: cortante deVIGAS 01.xlsx

1 Φ 1 + 1 Φ 5/8 7.080 16.58 1 Φ 1/2 + 3 Φ 5/8

2 Φ 1 10.200 17.53 4 Φ 5/8

2 Φ 1+ 1 Φ 5/8 12.180 21.66

2 Φ 1+ 2 Φ 5/8 14.160 25.79 1/2 - 3/4"

3 Φ 1 15.300 22.61 1 Φ 1/2 + 1 Φ 3/4

2 Φ 1/2 + 1 Φ 3/4

3/4 - 1" Area (cm2) b min (cm) 2 Φ 3/4

1 Φ 3/4 + 1 Φ 1 7.950 12.44 1 Φ 1/2 + 2 Φ 3/4

1 Φ 1 + 2 Φ 3/4 10.800 14.98 3 Φ 3/4

2 Φ 1 + 1 Φ 3/4 13.050 14.98 2 Φ 1/2 + 2 Φ 3/4

2 Φ 1+ 2 Φ 3/4 15.900 17.52 4 Φ 3/4

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2 2.580 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 15.899 cm² 2 Φ 1+ 2 Φ 3/4 15.900 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS

1°A-B 6.958 Tn-m 0 = colocar As minC-D 0.985 Tn-m

2°A-B 7.303 Tn-m

C-D 0.992 Tn-m

PRIMER PISO SEGUNDO PISO

Mmax (+) 6.958 Tn-m Mmax (+) 7.303 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d 3.91 cm

As = 4.956 cm² a =4.66 cm REPETIR As = 5.202 cm² 4.90 cm

As = 5.007 cm² a =4.71 cm REPETIR As = 5.272 cm² 4.96 cm

As = 5.010 cm² a =4.72 cm OK As = 5.277 cm² 4.97 cm

As = 5.011 cm² As = 5.277 cm²

Usar 2 Φ 1/2 + 1 Φ 3/4 5.430 cm² Usar 2 Φ 1/2 + 1 Φ 3/4

PRIMER PISO SEGUNDO PISO

Mmax (+) 0.985 Tn-m Mmax (+) 0.992 Tn-m

b = 25.00 cm b = 25.00 cm

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

A63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 350: cortante deVIGAS 01.xlsx

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d 3.91 cm

As = 0.701 cm² a =0.66 cm REPETIR As = 0.707 cm² 0.67 cm

As = 0.672 cm² a =0.63 cm REPETIR As = 0.677 cm² 0.64 cm

As = 0.672 cm² a =0.63 cm OK As = 0.677 cm² 0.64 cm

As = 0.672 cm² As = 0.677 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

B. ACEROS NEGATIVOS Izquierda Derecha FORMULAS

1°M max 5.091 Tn-m 9.334 Tn-m

M max 6.889 Tn-m 0.221 Tn-m

2°M max 3.732 Tn-m 9.660 Tn-m

7.937 Tn-m 0.228 Tn-m

PRIMER PISO PRIMER PISO

Mmax (-) 5.091 Tn-m Mmax (-) 9.334 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

As = 3.626 cm² a =3.41 cm REPETIR As = 6.649 cm² a =6.26 cm

As = 3.602 cm² a =3.39 cm REPETIR As = 6.866 cm² a =6.46 cm

As = 3.601 cm² a =3.39 cm OK As = 6.885 cm² a =6.48 cm

As = 3.601 cm² As = 6.887 cm² a =6.48 cm

As = 6.887 cm²

Usar 3 Φ 1/2 3.870 cm² Usar 1 Φ 1/2 + 2 Φ 3/4

PRIMER PISO

Mmax (-) 0.221 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 0.157 cm² a =0.15 cm REPETIRAs = 0.150 cm² a =0.14 cm OKAs = 0.150 cm² a =0.14 cm OKAs = 0.150 cm²

Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.732 Tn-m Mmax (-) 9.660 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 351: cortante deVIGAS 01.xlsx

As = 2.658 cm² a =2.50 cm REPETIR As = 6.881 cm² a =6.48 cm

As = 2.609 cm² a =2.46 cm REPETIR As = 7.127 cm² a =6.71 cm

As = 2.607 cm² a =2.45 cm OK As = 7.151 cm² a =6.73 cm

As = 2.607 cm² As = 7.153 cm²

Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm² Usar 1 Φ 1/2 + 3 Φ 5/8

SEGUNDO PISO

Mmax (-) 0.228 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 0.163 cm² a =0.15 cm REPETIRAs = 0.155 cm² a =0.15 cm OKAs = 0.155 cm²

Usar 2 Φ 3/8 1.420 cm²

Page 352: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 2-2

P TRAMO

A-B

B-C

C-D

A-B

B-C

C-D

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 45.00 cm

f'c = 210 Kg/cm² Aceros Diam.(Pulg)

fy = 4200 Kg/cm² Ф Asumo: 3/4β = 0.85 Ф Estribos: 3/8r = 4.00 cm

d: 39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESArea (cm2) b min (cm) BARRA DIAMETRO Peso Area

1.420 14.34 N° pulg cm Kg/m cm2

2.000 14.67 3 3/8 0.95 0.559 0.71

2.130 17.84 4 1/2 1.27 0.993 1.29

2.580 14.99 5 5/8 1.59 1.552 1.98

2.710 18.16 6 3/4 1.91 2.235 2.85

2.840 21.33 7 7/8 2.22 3.042 3.88

3.290 18.47 8 1 2.54 3.973 5.1

3.870 18.80 9 1 1/8 2.86 5.028 6.45

4.000 19.97 10 1 1/4 3.18 6.207 8.19

4.580 20.33 11 1 3/8 3.49 7.511 9.58

5.160 22.61 12 1 1/2 3.81 8.938 11.4

Area (cm2) b min (cm) COMBINACIONES RECOMENDADAS

3.270 15.31 1/2 - 3/8"3.960 15.63 1/2 - 5/8"4.560 18.16 1/2 - 3/4"5.250 19.44 5/8 - 1"5.850 22.93 3/4 - 1"5.940 19.76

6.540 23.24 5/8 - 1" Area (cm2) b min (cm)

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

M17
REQUE: Base de la viga.
M18
REQUE: Altura de la Viga.
M19
REQUE: Resistencia a la compresion del concreto.
M20
REQUE: Esfuerzo de Fluencia del Acero
O20
REQUE: Acero Longitudinal que asumo para las vigas.
M22
REQUE: Recubrimiento según Norma.
P23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 353: cortante deVIGAS 01.xlsx

7.230 23.56 1 Φ 1 + 1 Φ 5/8 7.080 16.58

7.920 23.89 2 Φ 1 10.200 17.53

2 Φ 1+ 1 Φ 5/8 12.180 21.66

Area (cm2) b min (cm) 2 Φ 1+ 2 Φ 5/8 14.160 25.79

4.140 15.63 3 Φ 1 15.300 22.61

5.430 19.44

5.700 16.27 3/4 - 1" Area (cm2) b min (cm)

6.990 20.08 1 Φ 3/4 + 1 Φ 1 7.950 12.44

8.550 20.72 1 Φ 1 + 2 Φ 3/4 10.800 14.98

6.456 23.89 2 Φ 1 + 1 Φ 3/4 13.050 14.98

11.400 25.17 2 Φ 1+ 2 Φ 3/4 15.900 17.52

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2 2.580 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 15.899 cm² 2 Φ 1+ 2 Φ 3/4 15.900 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS

A-B 2.683 Tn-m 0 = colocar As minB-C 2.116 Tn-m

C-D 3.632 Tn-m

A-B 1.989 Tn-m

B-C 3.745 Tn-m

C-D 2.758 Tn-m

SEGUNDO PISO PRIMER PISO

Mmax (+) 2.683 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

REPETIR As = 1.911 cm² a =1.80 cm REPETIR

REPETIR As = 1.858 cm² a =1.75 cm REPETIR

OK As = 1.857 cm² a =1.75 cm OKAs = 1.857 cm²

5.430 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO PRIMER PISO

Mmax (+) 3.632 Tn-m

b = 25.00 cm

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

L63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 354: cortante deVIGAS 01.xlsx

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

REPETIR As = 2.587 cm² a =2.43 cm REPETIR

REPETIR As = 1.874 cm² a =1.76 cm REPETIR

OK As = 1.858 cm² a =1.75 cm REPETIRAs = 1.857 cm²

1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO

Mmax (+) 3.745 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 2.667 cm² a =2.51 cm REPETIRPRIMER PISO As = 2.618 cm² a =2.46 cm REPETIR

As = 2.616 cm² a =2.46 cm OKAs = 2.616 cm²

Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm²

B. ACEROS NEGATIVOS Izquierda Derecha FORMULAS

REPETIR1°

M max 3.246 Tn-m 4.772 Tn-m

REPETIR M max 4.315 Tn-m 4.818 Tn-m

REPETIR M max 6.234 Tn-m 3.831 Tn-m

OK

M max 2.046 Tn-m 3.450 Tn-m

M max 3.226 Tn-m 3.745 Tn-m

6.990 cm² M max 4.560 Tn-m 3.263 Tn-m

PRIMER PISO

Mmax (-) 3.246 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 2.312 cm² a =2.18 cm REPETIRAs = 2.259 cm² a =2.13 cm REPETIRAs = 2.258 cm² a =2.13 cm OKAs = 2.258 cm²

Usar 2 Φ 1/2 2.580 cm²

SEGUNDO PISO

PRIMER PISO

Mmax (-) 6.234 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 355: cortante deVIGAS 01.xlsx

REPETIR Asumir: a = 0.10.d a =3.91 cm

REPETIR As = 4.440 cm² a =4.18 cm REPETIR

REPETIR As = 4.457 cm² a =4.19 cm REPETIRAs = 4.457 cm² a =4.20 cm OK

7.230 cm² As = 4.458 cm²

Usar 3 Φ 1/2 + 1 Φ 3/8 4.580 cm²

SEGUNDO PISO

Mmax (-) 2.046 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 1.457 cm² a =1.37 cm REPETIRAs = 1.409 cm² a =1.33 cm REPETIRAs = 1.408 cm² a =1.33 cm OK

As = 1.408 cm²

Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO

Mmax (-) 4.560 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

As = 3.248 cm² a =3.06 cm REPETIRAs = 3.212 cm² a =3.02 cm REPETIRAs = 3.210 cm² a =3.02 cm OKAs = 3.210 cm²

Usar 2 Φ 1/2 + 1 Φ 3/8 3.290 cm²

Page 356: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 2-2M° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

3.246 4.772 2.683

4.315 4.818 2.116

6.234 3.831 3.632

2.046 3.450 1.989

3.226 3.745 3.745

4.560 3.263 2.758

1. DIMENSION Y PROPIEDADES DE LA VIGA

PERALTE EFECTIVO DE LA SECCIÓN b = 25.00 cm

h = 45.00 cm

Diam. (cm) f'c = 210 Kg/cm²

1.91 fy = 4200 Kg/cm²

0.95 β = 0.85

r = 4.00 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALES 1/2 - 3/8" Area (cm2) b min (cm) BARRA DIAMETRO

2 Φ 3/8 1.420 14.34 N° pulg

1 Φ 1/2 + 1 Φ 3/8 2.000 14.67 3 3/8

3 Φ 3/8 2.130 17.84 4 1/2

2 Φ 1/2 2.580 14.99 5 5/8

1 Φ 1/2 + 2 Φ 3/8 2.710 18.16 6 3/4

4 Φ 3/8 2.840 21.33 7 7/8

2 Φ 1/2 + 1 Φ 3/8 3.290 18.47 8 1

3 Φ 1/2 3.870 18.80 9 1 1/8

2 Φ 1/2 + 2 Φ 3/8 4.000 19.97 10 1 1/4

3 Φ 1/2 + 1 Φ 3/8 4.580 20.33 11 1 3/8

4 Φ 1/2 5.160 22.61 12 1 1/2

1/2 - 5/8" Area (cm2) b min (cm) COMBINACIONES RECOMENDADAS

1 Φ 1/2 + 1 Φ 5/8 3.270 15.31 1/2 - 3/8"2 Φ 5/8 3.960 15.63 1/2 - 5/8"

2 Φ 1/2 + 1 Φ 5/8 4.560 18.16 1/2 - 3/4"1 Φ 1/2 + 2 Φ 5/8 5.250 19.44 5/8 - 1"3 Φ 1/2 + 1 Φ 5/8 5.850 22.93 3/4 - 1"

3 Φ 5/8 5.940 19.76

2 Φ 1/2 + 2 Φ 5/8 6.540 23.24 5/8 - 1"

X17
REQUE: Base de la viga.
X18
REQUE: Altura de la Viga.
X19
REQUE: Resistencia a la compresion del concreto.
X20
REQUE: Esfuerzo de Fluencia del Acero
X22
REQUE: Recubrimiento según Norma.
Page 357: cortante deVIGAS 01.xlsx

1 Φ 1/2 + 3 Φ 5/8 7.230 23.56 1 Φ 1 + 1 Φ 5/84 Φ 5/8 7.920 23.89 2 Φ 1

2 Φ 1+ 1 Φ 5/8

1/2 - 3/4" Area (cm2) b min (cm) 2 Φ 1+ 2 Φ 5/8

1 Φ 1/2 + 1 Φ 3/4 4.140 15.63 3 Φ 1

2 Φ 1/2 + 1 Φ 3/4 5.430 19.44

2 Φ 3/4 5.700 16.27 3/4 - 1"

1 Φ 1/2 + 2 Φ 3/4 6.990 20.08 1 Φ 3/4 + 1 Φ 1

3 Φ 3/4 8.550 20.72 1 Φ 1 + 2 Φ 3/4

2 Φ 1/2 + 2 Φ 3/4 6.456 23.89 2 Φ 1 + 1 Φ 3/4

4 Φ 3/4 11.400 25.17 2 Φ 1+ 2 Φ 3/4

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 2.361 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb

As max = 15.899 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

FORMULAS A. ACEROS POSITIVOS

0 = colocar As min1°

A-B

B-C

C-D

A-B

B-C

C-D

PRIMER PISO PRIMER PISO

Mmax (+) 2.116 Tn-m Mmax (+) 2.187 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 1.507 cm² a =1.42 cm REPETIR As = 1.558 cm²

As = 1.849 cm² a =1.74 cm REPETIR As = 1.509 cm²

As = 1.857 cm² a =1.75 cm OK As = 1.508 cm²

As = 1.857 cm² As = 1.508 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

SEGUNDO PISO PRIMER PISO

Mmax (+) 1.989 Tn-m Mmax (+) 3.227 Tn-m

b = 25.00 cm b = 25.00 cm

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

W63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 358: cortante deVIGAS 01.xlsx

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d 3.91 cm Asumir: a = 0.10.d

As = 1.417 cm² 1.33 cm REPETIR As = 2.299 cm²

As = 1.369 cm² 1.29 cm REPETIR As = 2.246 cm²

As = 1.368 cm² 1.29 cm OK As = 2.244 cm²

As = 1.368 cm² As = 2.244 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 1/2

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 2.758 Tn-m Mmax (+) 1.245 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d 3.91 cm Asumir: a = 0.10.d

As = 1.964 cm² 1.85 cm REPETIR As = 0.887 cm²

As = 1.911 cm² 1.80 cm REPETIR As = 0.852 cm²

As = 1.910 cm² 1.80 cm OK As = 0.851 cm²

As = 1.910 cm² As = 0.851 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8

FORMULAS B. ACEROS NEGATIVOS

M max

M max

M max

M max

M max

M max

PRIMER PISO PRIMER PISO

Mmax (-) 4.772 Tn-m Mmax (-) 2.636 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 3.399 cm² a =3.20 cm REPETIR As = 1.877 cm²

As = 3.367 cm² a =3.17 cm REPETIR As = 1.825 cm²

As = 3.365 cm² a =3.17 cm OK As = 1.824 cm²

As = 3.365 cm² As = 1.824 cm²

Usar 3 Φ 1/2 3.870 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

PRIMER PISO PRIMER PISO

Mmax (-) 3.831 Tn-m Mmax (-) 5.429 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 359: cortante deVIGAS 01.xlsx

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 2.729 cm² a =2.57 cm REPETIR As = 3.867 cm²

As = 2.681 cm² a =2.52 cm REPETIR As = 3.853 cm²

As = 2.679 cm² a =2.52 cm OK As = 3.852 cm²

As = 2.679 cm² As = 3.852 cm²

Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm² Usar 3 Φ 1/2

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.450 Tn-m Mmax (-) 1.601 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 2.457 cm² a =2.31 cm REPETIR As = 1.140 cm²

As = 2.406 cm² a =2.26 cm REPETIR As = 1.098 cm²

As = 2.404 cm² a =2.26 cm OK As = 1.098 cm²

As = 2.404 cm² As = 1.098 cm²

Usar 2 Φ 1/2 2.580 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.263 Tn-m Mmax (-) 3.539 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 2.324 cm² a =2.19 cm REPETIR As = 2.521 cm²

As = 2.272 cm² a =2.14 cm REPETIR As = 2.470 cm²

As = 2.270 cm² a =2.14 cm OK As = 2.468 cm²

As = 2.270 cm² As = 2.468 cm²

Usar 2 Φ 1/2 2.580 cm² Usar 2 Φ 1/2

Page 360: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 3-3

P TRAMOM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

A-B 2.636 3.845 2.187

B-C 3.401 3.994 1.628

C-D 5.429 3.335 3.227

A-B 1.601 2.689 1.530

B-C 2.508 2.859 1.245

C-D 3.539 2.610 2.101

1. DIMENSION Y PROPIEDADES DE LA VIGA

PERALTE EFECTIVO DE LA SECCIÓN

Aceros Diam.(Pulg) Diam. (cm)

Ф Asumo: 3/4 1.91

Ф Estribos: 3/8 0.95

d: 39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESDIAMETRO Peso Area 1/2 - 3/8" Area (cm2) b min (cm)

cm Kg/m cm2 2 Φ 3/8 1.420 14.34

0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8 2.000 14.67

1.27 0.993 1.29 3 Φ 3/8 2.130 17.84

1.59 1.552 1.98 2 Φ 1/2 2.580 14.99

1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8 2.710 18.16

2.22 3.042 3.88 4 Φ 3/8 2.840 21.33

2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8 3.290 18.47

2.86 5.028 6.45 3 Φ 1/2 3.870 18.80

3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8 4.000 19.97

3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8 4.580 20.33

3.81 8.938 11.4 4 Φ 1/2 5.160 22.61

COMBINACIONES RECOMENDADAS 1/2 - 5/8" Area (cm2) b min (cm)

1 Φ 1/2 + 1 Φ 5/8 3.270 15.31

2 Φ 5/8 3.960 15.63

2 Φ 1/2 + 1 Φ 5/8 4.560 18.16

1 Φ 1/2 + 2 Φ 5/8 5.250 19.44

3 Φ 1/2 + 1 Φ 5/8 5.850 22.93

3 Φ 5/8 5.940 19.76

5/8 - 1" Area (cm2) b min (cm) 2 Φ 1/2 + 2 Φ 5/8 6.540 23.24

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Z20
REQUE: Acero Longitudinal que asumo para las vigas.
AA23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 361: cortante deVIGAS 01.xlsx

1 Φ 1 + 1 Φ 5/8 7.080 16.58 1 Φ 1/2 + 3 Φ 5/8 7.230 23.56

2 Φ 1 10.200 17.53 4 Φ 5/8 7.920 23.89

2 Φ 1+ 1 Φ 5/8 12.180 21.66

2 Φ 1+ 2 Φ 5/8 14.160 25.79 1/2 - 3/4" Area (cm2) b min (cm)

3 Φ 1 15.300 22.61 1 Φ 1/2 + 1 Φ 3/4 4.140 15.63

2 Φ 1/2 + 1 Φ 3/4 5.430 19.44

3/4 - 1" Area (cm2) b min (cm) 2 Φ 3/4 5.700 16.27

1 Φ 3/4 + 1 Φ 1 7.950 12.44 1 Φ 1/2 + 2 Φ 3/4 6.990 20.08

1 Φ 1 + 2 Φ 3/4 10.800 14.98 3 Φ 3/4 8.550 20.72

2 Φ 1 + 1 Φ 3/4 13.050 14.98 2 Φ 1/2 + 2 Φ 3/4 6.456 23.89

2 Φ 1+ 2 Φ 3/4 15.900 17.52 4 Φ 3/4 11.400 25.17

3. DETERMINACION DEL ACERO MINIMO

2 Φ 1/2 2.580 cm²

4. DETERMINACION DEL ACERO MAXIMO

(0.723.f'c/fy)*(6300/(6300+fy))

0.0163

2 Φ 1+ 2 Φ 3/4 15.900 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS2.187 Tn-m 0 = colocar As min1.628 Tn-m

3.227 Tn-m

1.530 Tn-m

1.245 Tn-m

2.101 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 1.628 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.47 cm REPETIR As = 1.160 cm² a =1.09 cm REPETIRa =1.42 cm REPETIR As = 1.117 cm² a =1.05 cm REPETIRa =1.42 cm OK As = 1.117 cm² a =1.05 cm OK

As = 1.117 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO SEGUNDO PISO

Mmax (+) 1.530 Tn-m

b = 25.00 cm

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bcf

fyAsa

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.

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bcf

fyAsa

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.

Page 362: cortante deVIGAS 01.xlsx

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d 3.91 cm

a =2.16 cm REPETIR As = 1.090 cm² 1.03 cm REPETIRa =2.11 cm REPETIR As = 1.049 cm² 0.99 cm REPETIRa =2.11 cm OK As = 1.049 cm² 0.99 cm OK

As = 1.049 cm²

2 Φ 1/2 2.580 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 2.101 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d 3.91 cm

a =0.83 cm REPETIR As = 1.497 cm² 1.41 cm REPETIRa =0.80 cm REPETIR As = 1.448 cm² 1.36 cm REPETIRa =0.80 cm OK As = 1.447 cm² 1.36 cm OK

As = 1.447 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

Izquierda Derecha FORMULAS2.636 Tn-m 3.845 Tn-m

3.401 Tn-m 3.994 Tn-m

5.429 Tn-m 3.335 Tn-m

1.601 Tn-m 2.689 Tn-m

2.508 Tn-m 2.859 Tn-m

3.539 Tn-m 2.610 Tn-m

PRIMER PISO PRIMER PISO

Mmax (-) 3.845 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.77 cm REPETIR As = 2.739 cm² a =2.58 cm REPETIRa =1.72 cm REPETIR As = 2.691 cm² a =2.53 cm REPETIRa =1.72 cm OK As = 2.689 cm² a =2.53 cm OK

As = 2.689 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm²

PRIMER PISO PRIMER PISO

Mmax (-) 3.335 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

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fyAsa

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bcf

fyAsa

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.

Page 363: cortante deVIGAS 01.xlsx

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =3.64 cm REPETIR As = 2.376 cm² a =2.24 cm REPETIRa =3.63 cm REPETIR As = 2.323 cm² a =2.19 cm REPETIRa =3.63 cm OK As = 2.322 cm² a =2.19 cm OK

As = 2.322 cm²

3 Φ 1/2 3.870 cm² Usar 2 Φ 1/2 2.580 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 2.689 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.07 cm REPETIR As = 1.915 cm² a =1.80 cm REPETIRa =1.03 cm REPETIR As = 1.862 cm² a =1.75 cm REPETIRa =1.03 cm OK As = 1.861 cm² a =1.75 cm OK

As = 1.861 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 2.610 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =2.37 cm REPETIR As = 1.859 cm² a =1.75 cm REPETIRa =2.32 cm REPETIR As = 1.807 cm² a =1.70 cm REPETIRa =2.32 cm OK As = 1.806 cm² a =1.70 cm OK

As = 1.806 cm²

2 Φ 1/2 2.580 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

Page 364: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 4-4

P TRAMOM° NEG. (Tn-m)

IZQ. DER.

A-B 2.339 3.516

B-C 3.336 3.879

C-D 4.993 3.049

A-B 1.576 2.688

B-C 2.539 2.910

C-D 3.555 2.563

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 45.00 cm

f'c = 210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

fy = 4200 Kg/cm² Ф Asumo: 3/4 1.91

β = 0.85 Ф Estribos: 3/8 0.95

r = 4.00 cm

d: 39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESBARRA DIAMETRO Peso Area 1/2 - 3/8"

N° pulg cm Kg/m cm2 2 Φ 3/8

3 3/8 0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8

4 1/2 1.27 0.993 1.29 3 Φ 3/8

5 5/8 1.59 1.552 1.98 2 Φ 1/2

6 3/4 1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8

7 7/8 2.22 3.042 3.88 4 Φ 3/8

8 1 2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8

9 1 1/8 2.86 5.028 6.45 3 Φ 1/2

10 1 1/4 3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8

11 1 3/8 3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8

12 1 1/2 3.81 8.938 11.4 4 Φ 1/2

COMBINACIONES RECOMENDADAS 1/2 - 5/8"

1/2 - 3/8" 1 Φ 1/2 + 1 Φ 5/8

1/2 - 5/8" 2 Φ 5/8

1/2 - 3/4" 2 Φ 1/2 + 1 Φ 5/8

5/8 - 1" 1 Φ 1/2 + 2 Φ 5/8

3/4 - 1" 3 Φ 1/2 + 1 Φ 5/8

3 Φ 5/8

5/8 - 1" Area (cm2) b min (cm) 2 Φ 1/2 + 2 Φ 5/8

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

AI17
REQUE: Base de la viga.
AI18
REQUE: Altura de la Viga.
AI19
REQUE: Resistencia a la compresion del concreto.
AI20
REQUE: Esfuerzo de Fluencia del Acero
AK20
REQUE: Acero Longitudinal que asumo para las vigas.
AI22
REQUE: Recubrimiento según Norma.
AL23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 365: cortante deVIGAS 01.xlsx

1 Φ 1 + 1 Φ 5/8 7.080 16.58 1 Φ 1/2 + 3 Φ 5/8

2 Φ 1 10.200 17.53 4 Φ 5/8

2 Φ 1+ 1 Φ 5/8 12.180 21.66

2 Φ 1+ 2 Φ 5/8 14.160 25.79 1/2 - 3/4"

3 Φ 1 15.300 22.61 1 Φ 1/2 + 1 Φ 3/4

2 Φ 1/2 + 1 Φ 3/4

3/4 - 1" Area (cm2) b min (cm) 2 Φ 3/4

1 Φ 3/4 + 1 Φ 1 7.950 12.44 1 Φ 1/2 + 2 Φ 3/4

1 Φ 1 + 2 Φ 3/4 10.800 14.98 3 Φ 3/4

2 Φ 1 + 1 Φ 3/4 13.050 14.98 2 Φ 1/2 + 2 Φ 3/4

2 Φ 1+ 2 Φ 3/4 15.900 17.52 4 Φ 3/4

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2 2.580 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 15.899 cm² 2 Φ 1+ 2 Φ 3/4 15.900 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS

A-B 1.914 Tn-m 0 = colocar As minB-C 1.705 Tn-m

C-D 2.896 Tn-m

A-B 1.565 Tn-m

B-C 1.227 Tn-m

C-D 2.148 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 1.914 Tn-m Mmax (+) 1.705 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 1.363 cm² a =1.28 cm REPETIR As = 1.214 cm²

As = 1.317 cm² a =1.24 cm REPETIR As = 1.171 cm²

As = 1.316 cm² a =1.24 cm OK As = 1.170 cm²

As = 1.316 cm² As = 1.170 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

PRIMER PISO SEGUNDO PISO

Mmax (+) 2.896 Tn-m Mmax (+) 1.565 Tn-m

b = 25.00 cm b = 25.00 cm

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.

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AH63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 366: cortante deVIGAS 01.xlsx

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 2.063 cm² a =1.94 cm REPETIR As = 1.115 cm²

As = 2.010 cm² a =1.89 cm REPETIR As = 1.074 cm²

As = 2.009 cm² a =1.89 cm OK As = 1.073 cm²

As = 1.861 cm² As = 1.073 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 1.227 Tn-m Mmax (+) 2.148 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 0.874 cm² a =0.82 cm REPETIR As = 1.530 cm²

As = 0.839 cm² a =0.79 cm REPETIR As = 1.481 cm²

As = 0.839 cm² a =0.79 cm OK As = 1.480 cm²

As = 0.839 cm² As = 1.480 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

B. ACEROS NEGATIVOS Izquierda Derecha FORMULAS

M max 2.339 Tn-m 3.516 Tn-m

M max 3.336 Tn-m 3.879 Tn-m

M max 4.993 Tn-m 3.049 Tn-m

M max 1.576 Tn-m 2.688 Tn-m

M max 2.539 Tn-m 2.910 Tn-m

M max 3.555 Tn-m 2.563 Tn-m

PRIMER PISO PRIMER PISO

Mmax (-) 2.339 Tn-m Mmax (-) 3.516 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 1.666 cm² a =1.57 cm REPETIR As = 2.505 cm²

As = 1.615 cm² a =1.52 cm REPETIR As = 2.453 cm²

As = 1.614 cm² a =1.52 cm OK As = 2.452 cm²

As = 1.614 cm² As = 2.452 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 1/2

PRIMER PISO PRIMER PISO

Mmax (-) 4.993 Tn-m Mmax (-) 3.049 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

)2/.(. adfy

MuAs

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Page 367: cortante deVIGAS 01.xlsx

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 3.556 cm² a =3.35 cm REPETIR As = 2.172 cm²

As = 3.529 cm² a =3.32 cm REPETIR As = 2.119 cm²

As = 3.528 cm² a =3.32 cm OK As = 2.117 cm²

As = 3.528 cm² As = 2.117 cm²

Usar 3 Φ 1/2 3.870 cm² Usar 3 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 1.576 Tn-m Mmax (-) 2.688 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 1.122 cm² a =1.06 cm REPETIR As = 1.915 cm²

As = 1.081 cm² a =1.02 cm REPETIR As = 1.862 cm²

As = 1.080 cm² a =1.02 cm OK As = 1.861 cm²

As = 1.080 cm² As = 1.861 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.555 Tn-m Mmax (-) 2.563 Tn-m

b = 25.00 cm b = 25.00 cm

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm Asumir: a = 0.10.d

As = 2.532 cm² a =2.38 cm REPETIR As = 1.826 cm²

As = 2.481 cm² a =2.33 cm REPETIR As = 1.774 cm²

As = 2.479 cm² a =2.33 cm OK As = 1.773 cm²

As = 2.479 cm² As = 1.772 cm²

Usar 2 Φ 1/2 2.580 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

Page 368: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 4-4 I. VIGAS - PORTICO PRINCIPAL 5-5

M° POS. (Tn-m) P

1.914

1°1.705

2.896

1.565

2°1.227

2.148

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 45.00 cm

f'c = 210 Kg/cm² Aceros

fy = 4200 Kg/cm² Ф Asumo:

β = 0.85 Ф Estribos:

r = 4.00 cm

d:

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALES 1/2 - 3/8" Area (cm2) b min (cm) BARRA DIAMETRO Peso

2 Φ 3/8 1.420 14.34 N° pulg cm Kg/m

1 Φ 1/2 + 1 Φ 3/8 2.000 14.67 3 3/8 0.95 0.559

3 Φ 3/8 2.130 17.84 4 1/2 1.27 0.993

2 Φ 1/2 2.580 14.99 5 5/8 1.59 1.552

1 Φ 1/2 + 2 Φ 3/8 2.710 18.16 6 3/4 1.91 2.235

4 Φ 3/8 2.840 21.33 7 7/8 2.22 3.042

2 Φ 1/2 + 1 Φ 3/8 3.290 18.47 8 1 2.54 3.973

3 Φ 1/2 3.870 18.80 9 1 1/8 2.86 5.028

2 Φ 1/2 + 2 Φ 3/8 4.000 19.97 10 1 1/4 3.18 6.207

3 Φ 1/2 + 1 Φ 3/8 4.580 20.33 11 1 3/8 3.49 7.511

4 Φ 1/2 5.160 22.61 12 1 1/2 3.81 8.938

1/2 - 5/8" Area (cm2) b min (cm) COMBINACIONES RECOMENDADAS

1 Φ 1/2 + 1 Φ 5/8 3.270 15.31 1/2 - 3/8"2 Φ 5/8 3.960 15.63 1/2 - 5/8"

2 Φ 1/2 + 1 Φ 5/8 4.560 18.16 1/2 - 3/4"1 Φ 1/2 + 2 Φ 5/8 5.250 19.44 5/8 - 1"3 Φ 1/2 + 1 Φ 5/8 5.850 22.93 3/4 - 1"

3 Φ 5/8 5.940 19.76

2 Φ 1/2 + 2 Φ 5/8 6.540 23.24 5/8 - 1" Area (cm2)

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

AT17
REQUE: Base de la viga.
AT18
REQUE: Altura de la Viga.
AT19
REQUE: Resistencia a la compresion del concreto.
AT20
REQUE: Esfuerzo de Fluencia del Acero
AV20
REQUE: Acero Longitudinal que asumo para las vigas.
AT22
REQUE: Recubrimiento según Norma.
Page 369: cortante deVIGAS 01.xlsx

1 Φ 1/2 + 3 Φ 5/8 7.230 23.56 1 Φ 1 + 1 Φ 5/8 7.080

4 Φ 5/8 7.920 23.89 2 Φ 1 10.200

2 Φ 1+ 1 Φ 5/8 12.180

1/2 - 3/4" Area (cm2) b min (cm) 2 Φ 1+ 2 Φ 5/8 14.160

1 Φ 1/2 + 1 Φ 3/4 4.140 15.63 3 Φ 1 15.300

2 Φ 1/2 + 1 Φ 3/4 5.430 19.44

2 Φ 3/4 5.700 16.27 3/4 - 1" Area (cm2)

1 Φ 1/2 + 2 Φ 3/4 6.990 20.08 1 Φ 3/4 + 1 Φ 1 7.950

3 Φ 3/4 8.550 20.72 1 Φ 1 + 2 Φ 3/4 10.800

2 Φ 1/2 + 2 Φ 3/4 6.456 23.89 2 Φ 1 + 1 Φ 3/4 13.050

4 Φ 3/4 11.400 25.17 2 Φ 1+ 2 Φ 3/4 15.900

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 15.899 cm² 2 Φ 1+ 2 Φ 3/4

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS

A-B 2.795 Tn-m

B-C 2.140 Tn-m

C-D 4.119 Tn-m

A-B 2.077 Tn-m

B-C 1.674 Tn-m

C-D 2.854 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 2.795 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.14 cm REPETIR As = 1.991 cm² a =1.87 cm REPETIRa =1.10 cm REPETIR As = 1.938 cm² a =1.82 cm REPETIRa =1.10 cm OK As = 1.937 cm² a =1.82 cm OK

As = 1.937 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO PRIMER PISO

Mmax (+) 4.119 Tn-m

b = 25.00 cm

AS63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 370: cortante deVIGAS 01.xlsx

d = 39.10 cm

Ф = 0.9

3.91 cm Asumir: a = 0.10.d a =3.91 cm

1.05 cm REPETIR As = 2.934 cm² a =2.76 cm REPETIR1.01 cm REPETIR As = 2.889 cm² a =2.72 cm REPETIR1.01 cm OK As = 2.887 cm² a =2.72 cm OK

As = 2.887 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 1.674 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

3.91 cm Asumir: a = 0.10.d a =3.91 cm

1.44 cm REPETIR As = 1.192 cm² a =1.12 cm REPETIR1.39 cm REPETIR As = 1.149 cm² a =1.08 cm REPETIR1.39 cm OK As = 1.149 cm² a =1.08 cm OK

As = 1.149 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8 1.420 cm²

B. ACEROS NEGATIVOS Izquierda Derecha

M max 3.381 Tn-m 4.928 Tn-m

M max 4.406 Tn-m 5.148 Tn-m

M max 6.942 Tn-m 4.287 Tn-m

M max 2.134 Tn-m 3.619 Tn-m

M max 3.385 Tn-m 3.874 Tn-m

M max 4.770 Tn-m 3.470 Tn-m

PRIMER PISO PRIMER PISO

Mmax (-) 3.381 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =2.36 cm REPETIR As = 2.409 cm² a =2.27 cm REPETIRa =2.31 cm REPETIR As = 2.356 cm² a =2.22 cm REPETIRa =2.31 cm OK As = 2.355 cm² a =2.22 cm OK

As = 2.355 cm²

2 Φ 1/2 2.580 cm² Usar 2 Φ 1/2 2.580 cm²

PRIMER PISO PRIMER PISO

Mmax (-) 6.942 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

Page 371: cortante deVIGAS 01.xlsx

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =2.04 cm REPETIR As = 4.945 cm² a =4.65 cm REPETIRa =1.99 cm REPETIR As = 4.995 cm² a =4.70 cm REPETIRa =1.99 cm OK As = 4.998 cm² a =4.70 cm OK

As = 4.998 cm²

3 Φ 3/8 2.130 cm² Usar 1 Φ 1/2 + 2 Φ 5/8 5.250 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 2.134 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.80 cm REPETIR As = 1.520 cm² a =1.43 cm REPETIRa =1.75 cm REPETIR As = 1.471 cm² a =1.38 cm REPETIRa =1.75 cm OK As = 1.470 cm² a =1.38 cm OK

As = 1.470 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 4.770 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

a =1.72 cm REPETIR As = 3.398 cm² a =3.20 cm REPETIRa =1.67 cm REPETIR As = 3.366 cm² a =3.17 cm REPETIRa =1.67 cm OK As = 3.364 cm² a =3.17 cm OK

As = 3.364 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 3 Φ 1/2 3.870 cm²

Page 372: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 5-5

TRAMOM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

A-B 3.381 4.928 2.795

B-C 4.406 5.148 2.140

C-D 6.942 4.287 4.119

A-B 2.134 3.619 2.077

B-C 3.385 3.874 1.674

C-D 4.770 3.470 2.854

1. DIMENSION Y PROPIEDADES DE LA VIGA

PERALTE EFECTIVO DE LA SECCIÓN b =

h =

Diam.(Pulg) Diam. (cm) f'c =

3/4 1.91 fy =

3/8 0.95 β =

r =

39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALES ACEROS COMERCIALESArea 1/2 - 3/8" Area (cm2) b min (cm) BARRA

cm2 2 Φ 3/8 1.420 14.34 N°

0.71 1 Φ 1/2 + 1 Φ 3/8 2.000 14.67 3

1.29 3 Φ 3/8 2.130 17.84 4

1.98 2 Φ 1/2 2.580 14.99 5

2.85 1 Φ 1/2 + 2 Φ 3/8 2.710 18.16 6

3.88 4 Φ 3/8 2.840 21.33 7

5.1 2 Φ 1/2 + 1 Φ 3/8 3.290 18.47 8

6.45 3 Φ 1/2 3.870 18.80 9

8.19 2 Φ 1/2 + 2 Φ 3/8 4.000 19.97 10

9.58 3 Φ 1/2 + 1 Φ 3/8 4.580 20.33 11

11.4 4 Φ 1/2 5.160 22.61 12

COMBINACIONES RECOMENDADAS 1/2 - 5/8" Area (cm2) b min (cm)

1 Φ 1/2 + 1 Φ 5/8 3.270 15.31

2 Φ 5/8 3.960 15.63

2 Φ 1/2 + 1 Φ 5/8 4.560 18.16

1 Φ 1/2 + 2 Φ 5/8 5.250 19.44

3 Φ 1/2 + 1 Φ 5/8 5.850 22.93

3 Φ 5/8 5.940 19.76

b min (cm) 2 Φ 1/2 + 2 Φ 5/8 6.540 23.24

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

AW23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 373: cortante deVIGAS 01.xlsx

16.58 1 Φ 1/2 + 3 Φ 5/8 7.230 23.56

17.53 4 Φ 5/8 7.920 23.89

21.66

25.79 1/2 - 3/4" Area (cm2) b min (cm)

22.61 1 Φ 1/2 + 1 Φ 3/4 4.140 15.63

2 Φ 1/2 + 1 Φ 3/4 5.430 19.44

b min (cm) 2 Φ 3/4 5.700 16.27

12.44 1 Φ 1/2 + 2 Φ 3/4 6.990 20.08

14.98 3 Φ 3/4 8.550 20.72

14.98 2 Φ 1/2 + 2 Φ 3/4 6.456 23.89

17.52 4 Φ 3/4 11.400 25.17

3. DETERMINACION DEL ACERO MINIMO

As min =

ρ min =

2.580 cm² As min =

4. DETERMINACION DEL ACERO MAXIMO

Pb =

Pb =

Pmax =

15.900 cm² As max =

5. DETERMINACION DEL REFUERZO EN LA VIGA

FORMULAS A. ACEROS POSITIVOS

0 = colocar As min1°

PRIMER PISO PRIMER PISO

Mmax (+) 2.140 Tn-m Mmax (+)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =3.91 cm Asumir:

As = 1.525 cm² a =1.43 cm REPETIR As =

As = 1.476 cm² a =1.39 cm REPETIR As =

As = 1.475 cm² a =1.39 cm OK As =

As = 1.475 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

SEGUNDO PISO PRIMER PISO

Mmax (+) 2.077 Tn-m Mmax (+)

b = 25.00 cm b =

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

BD63
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 374: cortante deVIGAS 01.xlsx

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d 3.91 cm Asumir:

As = 1.479 cm² 1.39 cm REPETIR As =

As = 1.431 cm² 1.35 cm REPETIR As =

As = 1.430 cm² 1.35 cm OK As =

As = 1.430 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 2.854 Tn-m Mmax (+)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d 3.91 cm Asumir:

As = 2.033 cm² 1.91 cm REPETIR As =

As = 1.980 cm² 1.86 cm REPETIR As =

As = 1.979 cm² 1.86 cm OK As =

As = 1.979 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

FORMULAS B. ACEROS NEGATIVOS

PRIMER PISO PRIMER PISO

Mmax (-) 4.928 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =3.91 cm Asumir:

As = 3.510 cm² a =3.30 cm REPETIR As =

As = 3.482 cm² a =3.28 cm REPETIR As =

As = 3.481 cm² a =3.28 cm OK As =

As = 3.481 cm² As =

Usar 3 Φ 1/2 3.870 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (-) 4.287 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 375: cortante deVIGAS 01.xlsx

Asumir: a = 0.10.d a =3.91 cm Asumir:

As = 3.053 cm² a =2.87 cm REPETIR As =

As = 3.012 cm² a =2.83 cm REPETIR As =

As = 3.010 cm² a =2.83 cm OK As =

As = 3.010 cm² As =

Usar 2 Φ 1/2 + 1 Φ 3/8 3.290 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.619 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =3.91 cm Asumir:

As = 2.578 cm² a =2.43 cm REPETIR As =

As = 2.527 cm² a =2.38 cm REPETIR As =

As = 2.526 cm² a =2.38 cm OK As =

As = 2.526 cm² As =

Usar 2 Φ 1/2 2.580 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (-) 3.470 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =3.91 cm Asumir:

As = 2.472 cm² a =2.33 cm REPETIR As =

As = 2.420 cm² a =2.28 cm REPETIR As =

As = 2.419 cm² a =2.28 cm OK As =

As = 2.418 cm² As =

Usar 2 Φ 1/2 2.580 cm² Usar

Page 376: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES

I. VIGAS - PORTICO PRINCIPAL 6-6

P TRAMOM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

A-B 2.182 3.253 1.782

B-C 3.006 3.484 1.492

C-D 4.551 2.790 2.638

A-B 1.437 2.438 1.398

B-C 2.275 2.613 1.093

C-D 3.223 2.329 1.926

1. DIMENSION Y PROPIEDADES DE LA VIGA

25.00 cm PERALTE EFECTIVO DE LA SECCIÓN45.00 cm

210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

4200 Kg/cm² Ф Asumo: 3/4 1.91

0.85 Ф Estribos: 3/8 0.95

4.00 cm

d: 39.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESDIAMETRO Peso Area 1/2 - 3/8" Area (cm2)

pulg cm Kg/m cm2 2 Φ 3/8 1.420

3/8 0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8 2.000

1/2 1.27 0.993 1.29 3 Φ 3/8 2.130

5/8 1.59 1.552 1.98 2 Φ 1/2 2.580

3/4 1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8 2.710

7/8 2.22 3.042 3.88 4 Φ 3/8 2.840

1 2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8 3.290

1 1/8 2.86 5.028 6.45 3 Φ 1/2 3.870

1 1/4 3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8 4.000

1 3/8 3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8 4.580

1 1/2 3.81 8.938 11.4 4 Φ 1/2 5.160

COMBINACIONES RECOMENDADAS 1/2 - 5/8" Area (cm2)

1/2 - 3/8" 1 Φ 1/2 + 1 Φ 5/8 3.270

1/2 - 5/8" 2 Φ 5/8 3.960

1/2 - 3/4" 2 Φ 1/2 + 1 Φ 5/8 4.560

5/8 - 1" 1 Φ 1/2 + 2 Φ 5/8 5.250

3/4 - 1" 3 Φ 1/2 + 1 Φ 5/8 5.850

3 Φ 5/8 5.940

5/8 - 1" Area (cm2) b min (cm) 2 Φ 1/2 + 2 Φ 5/8 6.540

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

BE17
REQUE: Base de la viga.
BE18
REQUE: Altura de la Viga.
BE19
REQUE: Resistencia a la compresion del concreto.
BE20
REQUE: Esfuerzo de Fluencia del Acero
BG20
REQUE: Acero Longitudinal que asumo para las vigas.
BE22
REQUE: Recubrimiento según Norma.
BH23
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 377: cortante deVIGAS 01.xlsx

1 Φ 1 + 1 Φ 5/8 7.080 16.58 1 Φ 1/2 + 3 Φ 5/8 7.230

2 Φ 1 10.200 17.53 4 Φ 5/8 7.920

2 Φ 1+ 1 Φ 5/8 12.180 21.66

2 Φ 1+ 2 Φ 5/8 14.160 25.79 1/2 - 3/4" Area (cm2)

3 Φ 1 15.300 22.61 1 Φ 1/2 + 1 Φ 3/4 4.140

2 Φ 1/2 + 1 Φ 3/4 5.430

3/4 - 1" Area (cm2) b min (cm) 2 Φ 3/4 5.700

1 Φ 3/4 + 1 Φ 1 7.950 12.44 1 Φ 1/2 + 2 Φ 3/4 6.990

1 Φ 1 + 2 Φ 3/4 10.800 14.98 3 Φ 3/4 8.550

2 Φ 1 + 1 Φ 3/4 13.050 14.98 2 Φ 1/2 + 2 Φ 3/4 6.456

2 Φ 1+ 2 Φ 3/4 15.900 17.52 4 Φ 3/4 11.400

3. DETERMINACION DEL ACERO MINIMO

ρ min * b * d

0.0024

2.361 cm² 2 Φ 1/2 2.580 cm²

4. DETERMINACION DEL ACERO MAXIMO

(0.723.f'c/fy)*(6300/(6300+fy))

0.0217

0.75.Pb 0.0163

15.899 cm² 2 Φ 1+ 2 Φ 3/4 15.900 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULASA-B 1.782 Tn-m 0 = colocar As minB-C 1.492 Tn-m

C-D 2.638 Tn-m

A-B 1.398 Tn-m

B-C 1.093 Tn-m

C-D 1.926 Tn-m

PRIMER PISO PRIMER PISO

1.782 Tn-m Mmax (+) 1.492 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

1.269 cm² a =1.19 cm REPETIR As = 1.063 cm² a =1.00 cm REPETIR1.225 cm² a =1.15 cm REPETIR As = 1.023 cm² a =0.96 cm REPETIR1.224 cm² a =1.15 cm OK As = 1.022 cm² a =0.96 cm OK1.224 cm² As = 1.022 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO SEGUNDO PISO

2.638 Tn-m Mmax (+) 1.398 Tn-m

25.00 cm b = 25.00 cm

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 378: cortante deVIGAS 01.xlsx

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d 3.91 cm

1.879 cm² a =1.77 cm REPETIR As = 0.996 cm² 0.94 cm REPETIR1.827 cm² a =1.72 cm REPETIR As = 0.957 cm² 0.90 cm REPETIR1.825 cm² a =1.72 cm OK As = 0.957 cm² 0.90 cm OK1.825 cm² As = 0.957 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

1.093 Tn-m Mmax (+) 1.926 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d 3.91 cm

0.779 cm² a =0.73 cm REPETIR As = 1.372 cm² 1.29 cm REPETIR0.747 cm² a =0.70 cm REPETIR As = 1.325 cm² 1.25 cm REPETIR0.746 cm² a =0.70 cm OK As = 1.324 cm² 1.25 cm OK0.746 cm² As = 1.324 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

B. ACEROS NEGATIVOS Izquierda Derecha FORMULASM max 2.182 Tn-m 3.253 Tn-m

M max 3.006 Tn-m 3.484 Tn-m

M max 4.551 Tn-m 2.790 Tn-m

M max 1.437 Tn-m 2.438 Tn-m

M max 2.275 Tn-m 2.613 Tn-m

M max 3.223 Tn-m 2.329 Tn-m

PRIMER PISO PRIMER PISO

2.182 Tn-m Mmax (-) 3.253 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

1.554 cm² a =1.46 cm REPETIR As = 2.317 cm² a =2.18 cm REPETIR1.504 cm² a =1.42 cm REPETIR As = 2.264 cm² a =2.13 cm REPETIR1.504 cm² a =1.42 cm OK As = 2.263 cm² a =2.13 cm OK1.504 cm² As = 2.263 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 1/2 2.580 cm²

PRIMER PISO PRIMER PISO

4.551 Tn-m Mmax (-) 2.790 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

bcf

fyAsa

.'.85.0

.

Page 379: cortante deVIGAS 01.xlsx

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

3.241 cm² a =3.05 cm REPETIR As = 1.987 cm² a =1.87 cm REPETIR3.204 cm² a =3.02 cm REPETIR As = 1.934 cm² a =1.82 cm REPETIR3.203 cm² a =3.01 cm OK As = 1.933 cm² a =1.82 cm OK

3.203 cm² As = 1.933 cm²

2 Φ 1/2 + 1 Φ 3/8 3.290 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

1.437 Tn-m Mmax (-) 2.438 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

1.023 cm² a =0.96 cm REPETIR As = 1.736 cm² a =1.63 cm REPETIR0.984 cm² a =0.93 cm REPETIR As = 1.685 cm² a =1.59 cm REPETIR0.984 cm² a =0.93 cm OK As = 1.684 cm² a =1.58 cm OK

0.984 cm² As = 1.684 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

3.223 Tn-m Mmax (-) 2.329 Tn-m

25.00 cm b = 25.00 cm

39.10 cm d = 39.10 cm

0.9 Ф = 0.9

a = 0.10.d a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

2.295 cm² a =2.16 cm REPETIR As = 1.659 cm² a =1.56 cm REPETIR2.243 cm² a =2.11 cm REPETIR As = 1.608 cm² a =1.51 cm REPETIR2.241 cm² a =2.11 cm OK As = 1.607 cm² a =1.51 cm OK2.241 cm² As = 1.607 cm²

2 Φ 1/2 2.580 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

Page 380: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS PRINCIPALES

b min (cm)

14.34

14.67

17.84

14.99

18.16

21.33

18.47

18.80

19.97

20.33

22.61

b min (cm)

15.31

15.63

18.16

19.44

22.93

19.76

23.24

Page 381: cortante deVIGAS 01.xlsx

23.56

23.89

b min (cm)

15.63

19.44

16.27

20.08

20.72

23.89

25.17

Page 382: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL A - A

P TRAMO L Wu

4.6 1.277

3.65 1.277

Viga 3 - 4 2.65 0.294

Viga 4 - 5 3.8 1.277

Viga 5 - 6 4.95 1.277

4.6 0.294

3.65 0.294

Viga 3 - 4 2.65 0.294

Viga 4 - 5 3.8 0.294

Viga 5 - 6 4.95 0.294

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 35.00 cm

f'c = 210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

fy = 4200 Kg/cm² Ф Asumo: 3/4 1.91

β = 0.85 Ф Estribos: 3/8 0.95

r = 4.00 cm

d: 29.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESBARRA DIAMETRO Peso Area 1/2 - 3/8"

N° pulg cm Kg/m cm2 2 Φ 3/8

3 3/8 0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8

4 1/2 1.27 0.993 1.29 3 Φ 3/8

5 5/8 1.59 1.552 1.98 2 Φ 1/2

6 3/4 1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8

7 7/8 2.22 3.042 3.88 4 Φ 3/8

8 1 2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8

9 1 1/8 2.86 5.028 6.45 3 Φ 1/2

10 1 1/4 3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8

11 1 3/8 3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8

12 1 1/2 3.81 8.938 11.4 4 Φ 1/2

COMBINACIONES RECOMENDADAS 1/2 - 5/8"

1/2 - 3/8" 1 Φ 1/2 + 1 Φ 5/8

1/2 - 5/8" 2 Φ 5/8

1/2 - 3/4" 2 Φ 1/2 + 1 Φ 5/8

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

C21
REQUE: Base de la viga.
C22
REQUE: Altura de la Viga.
C23
REQUE: Resistencia a la compresion del concreto.
C24
REQUE: Esfuerzo de Fluencia del Acero
E24
REQUE: Acero Longitudinal que asumo para las vigas.
C26
REQUE: Recubrimiento según Norma.
F27
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 383: cortante deVIGAS 01.xlsx

5/8 - 1" 1 Φ 1/2 + 2 Φ 5/8

3/4 - 1" 3 Φ 1/2 + 1 Φ 5/8

3 Φ 5/8

5/8 - 1" Area (cm2) 2 Φ 1/2 + 2 Φ 5/8

1 Φ 1 + 1 Φ 5/8 7.080 1 Φ 1/2 + 3 Φ 5/8

2 Φ 1 10.200 4 Φ 5/8

2 Φ 1+ 1 Φ 5/8 12.180

2 Φ 1+ 2 Φ 5/8 14.160 1/2 - 3/4"

3 Φ 1 15.300 1 Φ 1/2 + 1 Φ 3/4

2 Φ 1/2 + 1 Φ 3/4

3/4 - 1" Area (cm2) 2 Φ 3/4

1 Φ 3/4 + 1 Φ 1 7.950 1 Φ 1/2 + 2 Φ 3/4

1 Φ 1 + 2 Φ 3/4 10.800 3 Φ 3/4

2 Φ 1 + 1 Φ 3/4 13.050 2 Φ 1/2 + 2 Φ 3/4

2 Φ 1+ 2 Φ 3/4 15.900 4 Φ 3/4

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 11.833 cm² 2 Φ 1+ 1 Φ 5/8 12.180 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS

1.833 Tn-m

0.631 Tn-m

Viga 3 - 4 0.182 Tn-m

Viga 4 - 5 0.729 Tn-m

Viga 5 - 6 1.728 Tn-m

0.228 Tn-m

0.176 Tn-m

Viga 3 - 4 0.066 Tn-m

Viga 4 - 5 0.165 Tn-m

Viga 5 - 6 0.347 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 1.833 Tn-m Mmax (+) 0.631 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 1.755 cm² a =1.65 cm REPETIR As = 0.604 cm²

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

B67
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 384: cortante deVIGAS 01.xlsx

As = 1.716 cm² a =1.61 cm REPETIR As = 0.579 cm²

As = 1.714 cm² a =1.61 cm OK As = 0.579 cm²

As = 1.714 cm² As = 0.579 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8

PRIMER PISO PRIMER PISO

Mmax (+) 0.182 Tn-m Mmax (+) 0.729 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.174 cm² a =0.16 cm REPETIR As = 0.697 cm²

º 0.166 cm² a =0.16 cm OK As = 0.670 cm²

As = 0.166 cm² As = 0.670 cm²

As = 0.670 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

PRIMER PISO SEGUNDO PISO

Mmax (+) 1.728 Tn-m Mmax (+) 0.228 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 1.654 cm² a =1.56 cm REPETIR As = 0.219 cm²

As = 1.614 cm² a =1.52 cm REPETIR As = 0.208 cm²

As = 1.613 cm² a =1.52 cm OK As = 0.208 cm²

As = 1.613 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.176 Tn-m Mmax (+) 0.066 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.168 cm² a =0.16 cm REPETIR As = 0.063 cm²

As = 0.160 cm² a =0.15 cm OK As = 0.060 cm²

As = 0.160 cm² As = 0.060 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.165 Tn-m Mmax (+) 0.347 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.158 cm² a =0.15 cm REPETIR As = 0.332 cm²

Page 385: cortante deVIGAS 01.xlsx

As = 0.150 cm² a =0.14 cm OK As = 0.318 cm²

As = 0.150 cm² As = 0.317 cm²

As = 0.317 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

B. ACEROS NEGATIVOS Izquierda Derecha FORMULAS

M max 0.225 Tn-m 2.862 Tn-m

M max 2.275 Tn-m 0.715 Tn-m

M max 0.389 Tn-m 0.492 Tn-m

M max 0.860 Tn-m 2.291 Tn-m

M max 2.816 Tn-m 1.550 Tn-m

M max 0.621 Tn-m 0.477 Tn-m

M max 0.325 Tn-m 0.302 Tn-m

M max 0.200 Tn-m 0.184 Tn-m

M max 0.294 Tn-m 0.438 Tn-m

M max 0.611 Tn-m 0.495 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 0.225 Tn-m Mmax (+) 2.862 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.216 cm² a =0.20 cm REPETIR As = 2.740 cm²

As = 0.206 cm² a =0.19 cm As = 2.723 cm²

As = 0.206 cm² As = 2.722 cm²

As = 2.722 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 4 Φ 3/8

PRIMER PISO PRIMER PISO

Mmax (+) 0.715 Tn-m Mmax (+) 0.860 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.684 cm² a =0.64 cm REPETIR As = 0.823 cm²

As = 0.658 cm² a =0.62 cm REPETIR As = 0.793 cm²

As = 0.657 cm² a =0.62 cm OK As = 0.792 cm²

As = 0.657 cm² As = 0.792 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

PRIMER PISO PRIMER PISO

Mmax (+) 2.816 Tn-m Mmax (+) 1.550 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

Page 386: cortante deVIGAS 01.xlsx

As = 2.695 cm² a =2.54 cm REPETIR As = 1.483 cm²

As = 2.677 cm² a =2.52 cm REPETIR As = 1.444 cm²

As = 2.676 cm² a =2.52 cm OK As = 1.443 cm²

As = 2.676 cm² As = 1.443 cm²

Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm² Usar 1 Φ 1/2 + 1 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.621 Tn-m Mmax (+) 0.477 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.594 cm² a =0.56 cm REPETIR As = 0.457 cm²

As = 0.570 cm² a =0.54 cm REPETIR As = 0.437 cm²

As = 0.570 cm² a =0.54 cm OK As = 0.437 cm²

As = 0.570 cm² As = 0.437 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.302 Tn-m Mmax (+) 0.294 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.289 cm² a =0.27 cm REPETIR As = 0.281 cm²

As = 0.276 cm² a =0.26 cm REPETIR As = 0.268 cm²

As = 0.276 cm² a =0.26 cm OK As = 0.268 cm²

As = 0.276 cm² As = 0.268 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.611 Tn-m Mmax (+) 0.495 Tn-m

b = 25.00 cm b = 25.00 cm

d = 29.10 cm d = 29.10 cm

Ф = 0.9 Ф = 0.9

Asumir: a = 0.10.d a =2.91 cm Asumir: a = 0.10.d

As = 0.585 cm² a =0.55 cm REPETIR As = 0.474 cm²

As = 0.561 cm² a =0.53 cm REPETIR As = 0.454 cm²

As = 0.561 cm² a =0.53 cm OK As = 0.453 cm²

As = 0.561 cm² As = 0.453 cm²

Usar 2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8

Page 387: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL A - A I. VIGAS - PORTICO PRINCIPAL B - BM° NEG. (Tn-m)

M° POS. (Tn-m) PIZQ. DER.

0.225 2.862 1.833

2.275 0.715 0.631

0.389 0.492 -0.182

0.860 2.291 0.729

2.816 1.550 1.728

0.621 0.477 0.228

0.325 0.302 0.176

0.200 0.184 0.066

0.294 0.438 0.165

0.611 0.495 0.347

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 35.00 cm

f'c = 210 Kg/cm² Aceros

fy = 4200 Kg/cm² Ф Asumo:

β = 0.85 Ф Estribos:

r = 4.00 cm

d:

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALES 1/2 - 3/8" Area (cm2) BARRA DIAMETRO Peso

2 Φ 3/8 1.42 N° pulg cm Kg/m

1 Φ 1/2 + 1 Φ 3/8 2 3 3/8 0.95 0.559

3 Φ 3/8 2.13 4 1/2 1.27 0.993

2 Φ 1/2 2.58 5 5/8 1.59 1.552

1 Φ 1/2 + 2 Φ 3/8 2.71 6 3/4 1.91 2.235

4 Φ 3/8 2.84 7 7/8 2.22 3.042

2 Φ 1/2 + 1 Φ 3/8 3.29 8 1 2.54 3.973

3 Φ 1/2 3.87 9 1 1/8 2.86 5.028

2 Φ 1/2 + 2 Φ 3/8 4 10 1 1/4 3.18 6.207

3 Φ 1/2 + 1 Φ 3/8 4.58 11 1 3/8 3.49 7.511

4 Φ 1/2 5.16 12 1 1/2 3.81 8.938

1/2 - 5/8" Area (cm2) COMBINACIONES RECOMENDADAS

1 Φ 1/2 + 1 Φ 5/8 3.27 1/2 - 3/8"2 Φ 5/8 3.96 1/2 - 5/8"

2 Φ 1/2 + 1 Φ 5/8 4.56 1/2 - 3/4"

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

N21
REQUE: Base de la viga.
N22
REQUE: Altura de la Viga.
N23
REQUE: Resistencia a la compresion del concreto.
N24
REQUE: Esfuerzo de Fluencia del Acero
P24
REQUE: Acero Longitudinal que asumo para las vigas.
N26
REQUE: Recubrimiento según Norma.
Page 388: cortante deVIGAS 01.xlsx

1 Φ 1/2 + 2 Φ 5/8 5.25 5/8 - 1"3 Φ 1/2 + 1 Φ 5/8 5.85 3/4 - 1"

3 Φ 5/8 5.94

2 Φ 1/2 + 2 Φ 5/8 6.54 5/8 - 1" Area (cm2)

1 Φ 1/2 + 3 Φ 5/8 7.23 1 Φ 1 + 1 Φ 5/8 7.080

4 Φ 5/8 7.92 2 Φ 1 10.200

2 Φ 1+ 1 Φ 5/8 12.180

1/2 - 3/4" Area (cm2) 2 Φ 1+ 2 Φ 5/8 14.160

1 Φ 1/2 + 1 Φ 3/4 4.14 3 Φ 1 15.300

2 Φ 1/2 + 1 Φ 3/4 5.43

2 Φ 3/4 5.7 3/4 - 1" Area (cm2)

1 Φ 1/2 + 2 Φ 3/4 6.99 1 Φ 3/4 + 1 Φ 1 7.950

3 Φ 3/4 8.55 1 Φ 1 + 2 Φ 3/4 10.800

2 Φ 1/2 + 2 Φ 3/4 6.456 2 Φ 1 + 1 Φ 3/4 13.050

4 Φ 3/4 11.4 2 Φ 1+ 2 Φ 3/4 15.900

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 11.833 cm² 2 Φ 1+ 1 Φ 5/8

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS

1.650 Tn-m

0.190 Tn-m

Viga 3 - 4 0.630 Tn-m

Viga 4 - 5 0.162 Tn-m

Viga 5 - 6 1.623 Tn-m

0.228 Tn-m

0.176 Tn-m

Viga 3 - 4 0.066 Tn-m

Viga 4 - 5 0.165 Tn-m

Viga 5 - 6 0.347 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 1.650 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.57 cm REPETIR As = 1.580 cm² a =1.49 cm REPETIR

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

M67
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 389: cortante deVIGAS 01.xlsx

a =0.55 cm REPETIR As = 1.540 cm² a =1.45 cm REPETIRa =0.55 cm OK As = 1.539 cm² a =1.45 cm OK

As = 1.539 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

PRIMER PISO PRIMER PISO

Mmax (+) 0.630 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.66 cm REPETIR As = 0.603 cm² a =0.57 cm REPETIRa =0.63 cm REPETIR As = 0.579 cm² a =0.54 cm REPETIRa =0.63 cm OK As = 0.578 cm² a =0.54 cm OK

As = 0.578 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO PRIMER PISO

Mmax (+) 1.623 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.21 cm REPETIR As = 1.554 cm² a =1.46 cm REPETIRa =0.20 cm OK As = 1.514 cm² a =1.43 cm REPETIR

As = 1.513 cm² a =1.42 cm OKAs = 1.513 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.176 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.06 cm REPETIR As = 0.168 cm² a =0.16 cm REPETIRa =0.06 cm OK As = 0.160 cm² a =0.15 cm OK

As = 0.160 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.165 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.31 cm REPETIR As = 0.158 cm² a =0.15 cm REPETIR

Page 390: cortante deVIGAS 01.xlsx

a =0.30 cm REPETIR As = 0.150 cm² a =0.14 cm OKa =0.30 cm OK As = 0.150 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

B. ACEROS NEGATIVOS Izquierda Derecha

M max 0.312 Tn-m 2.066 Tn-m

M max 1.175 Tn-m 0.184 Tn-m

M max 0.483 Tn-m 0.499 Tn-m

M max 0.207 Tn-m 1.179 Tn-m

M max 2.092 Tn-m 1.457 Tn-m

M max 0.621 Tn-m 0.477 Tn-m

M max 0.325 Tn-m 0.302 Tn-m

M max 0.200 Tn-m 0.184 Tn-m

M max 0.294 Tn-m 0.438 Tn-m

M max 0.611 Tn-m 0.495 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 0.312 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =2.58 cm REPETIR As = 0.298 cm² a =0.28 cm REPETIRa =2.56 cm REPETIR As = 0.285 cm² a =0.27 cm REPETIRa =2.56 cm OK As = 0.285 cm² a =0.27 cm OK

As = 0.285 cm²

4 Φ 3/8 2.840 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO PRIMER PISO

Mmax (+) 0.483 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.77 cm REPETIR As = 0.462 cm² a =0.43 cm REPETIRa =0.75 cm REPETIR As = 0.442 cm² a =0.42 cm REPETIRa =0.75 cm OK As = 0.442 cm² a =0.42 cm OK

As = 0.442 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO PRIMER PISO

Mmax (+) 2.092 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

Page 391: cortante deVIGAS 01.xlsx

a =1.40 cm REPETIR As = 2.003 cm² a =1.88 cm REPETIRa =1.36 cm REPETIR As = 1.966 cm² a =1.85 cm REPETIRa =1.36 cm OK As = 1.965 cm² a =1.85 cm OK

As = 1.965 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.621 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.43 cm REPETIR As = 0.594 cm² a =0.56 cm REPETIRa =0.41 cm REPETIR As = 0.570 cm² a =0.54 cm REPETIRa =0.41 cm OK As = 0.570 cm² a =0.54 cm OK

As = 0.570 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.302 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.26 cm REPETIR As = 0.289 cm² a =0.27 cm REPETIRa =0.25 cm REPETIR As = 0.276 cm² a =0.26 cm REPETIRa =0.25 cm OK As = 0.276 cm² a =0.26 cm OK

As = 0.276 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.611 Tn-m

b = 25.00 cm

d = 29.10 cm

Ф = 0.9

a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

a =0.45 cm REPETIR As = 0.585 cm² a =0.55 cm REPETIRa =0.43 cm REPETIR As = 0.561 cm² a =0.53 cm REPETIRa =0.43 cm OK As = 0.561 cm² a =0.53 cm OK

As = 0.561 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

Page 392: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL B - B

TRAMO L WuM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

4.6 1.073 0.312 2.066 1.650

3.65 0.294 1.175 0.184 -0.190

Viga 3 - 4 2.65 1.277 0.483 0.499 0.630

Viga 4 - 5 3.8 0.294 0.207 1.179 -0.162

Viga 5 - 6 4.95 1.110 2.092 1.457 1.623

4.6 0.294 0.621 0.477 0.228

3.65 0.294 0.325 0.302 0.176

Viga 3 - 4 2.65 0.294 0.200 0.184 0.066

Viga 4 - 5 3.8 0.294 0.294 0.438 0.165

Viga 5 - 6 4.95 0.294 0.611 0.495 0.347

1. DIMENSION Y PROPIEDADES DE LA VIGA

PERALTE EFECTIVO DE LA SECCIÓN b =

h =

Diam.(Pulg) Diam. (cm) f'c =

3/4 1.91 fy =

3/8 0.95 β =

r =

29.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALES ACEROS COMERCIALESArea 1/2 - 3/8" Area (cm2) BARRA

cm2 2 Φ 3/8 1.42 N°

0.71 1 Φ 1/2 + 1 Φ 3/8 2 3

1.29 3 Φ 3/8 2.13 4

1.98 2 Φ 1/2 2.58 5

2.85 1 Φ 1/2 + 2 Φ 3/8 2.71 6

3.88 4 Φ 3/8 2.84 7

5.1 2 Φ 1/2 + 1 Φ 3/8 3.29 8

6.45 3 Φ 1/2 3.87 9

8.19 2 Φ 1/2 + 2 Φ 3/8 4 10

9.58 3 Φ 1/2 + 1 Φ 3/8 4.58 11

11.4 4 Φ 1/2 5.16 12

COMBINACIONES RECOMENDADAS 1/2 - 5/8" Area (cm2)

1 Φ 1/2 + 1 Φ 5/8 3.27

2 Φ 5/8 3.96

2 Φ 1/2 + 1 Φ 5/8 4.56

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Q27
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 393: cortante deVIGAS 01.xlsx

1 Φ 1/2 + 2 Φ 5/8 5.25

3 Φ 1/2 + 1 Φ 5/8 5.85

3 Φ 5/8 5.94

2 Φ 1/2 + 2 Φ 5/8 6.54

1 Φ 1/2 + 3 Φ 5/8 7.23

4 Φ 5/8 7.92

1/2 - 3/4" Area (cm2)

1 Φ 1/2 + 1 Φ 3/4 4.14

2 Φ 1/2 + 1 Φ 3/4 5.43

2 Φ 3/4 5.7

1 Φ 1/2 + 2 Φ 3/4 6.99

3 Φ 3/4 8.55

2 Φ 1/2 + 2 Φ 3/4 6.456

4 Φ 3/4 11.4

3. DETERMINACION DEL ACERO MINIMO

As min =

ρ min =

2.000 cm² As min =

4. DETERMINACION DEL ACERO MAXIMO

Pb =

Pb =

Pmax =

12.180 cm² As max =

5. DETERMINACION DEL REFUERZO EN LA VIGA

FORMULAS A. ACEROS POSITIVOS

PRIMER PISO PRIMER PISO

Mmax (+) 0.190 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.182 cm² a =0.17 cm REPETIR As =

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

bcf

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.

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MuAs

X67
REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 394: cortante deVIGAS 01.xlsx

As = 0.173 cm² a =0.16 cm OK As =

As = 0.173 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 0.162 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.155 cm² a =0.15 cm REPETIR As =

As = 0.148 cm² a =0.14 cm OK As =

As = 0.148 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO PRIMER PISO

Mmax (+) 0.228 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.219 cm² a =0.21 cm REPETIR As =

As = 0.208 cm² a =0.20 cm OK As =

As = 0.208 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.066 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.063 cm² a =0.06 cm REPETIR As =

As = 0.060 cm² a =0.06 cm OK As =

As = 0.060 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.347 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.332 cm² a =0.31 cm REPETIR As =

Page 395: cortante deVIGAS 01.xlsx

As = 0.318 cm² a =0.30 cm REPETIR As =

As = 0.317 cm² a =0.30 cm OK As =

As = 0.317 cm²

Usar 2 Φ 3/8 1.420 cm² Usar

FORMULAS B. ACEROS NEGATIVOS

PRIMER PISO PRIMER PISO

Mmax (+) 2.066 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 1.978 cm² a =1.86 cm REPETIR As =

As = 1.941 cm² a =1.83 cm REPETIR As =

As = 1.940 cm² a =1.83 cm OK As =

As = 1.940 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 0.499 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.477 cm² a =0.45 cm REPETIR As =

As = 0.457 cm² a =0.43 cm REPETIR As =

As = 0.457 cm² a =0.43 cm OK As =

As = 0.457 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 1.457 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

Page 396: cortante deVIGAS 01.xlsx

As = 1.395 cm² a =1.31 cm REPETIR As =

As = 1.356 cm² a =1.28 cm REPETIR As =

As = 1.355 cm² a =1.28 cm OK As =

As = 1.355 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.477 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.457 cm² a =0.43 cm REPETIR As =

As = 0.437 cm² a =0.41 cm REPETIR As =

As = 0.437 cm² a =0.41 cm OK As =

As = 0.437 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.294 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.281 cm² a =0.26 cm REPETIR As =

As = 0.268 cm² a =0.25 cm REPETIR As =

As = 0.268 cm² a =0.25 cm OK As =

As = 0.268 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.495 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.474 cm² a =0.45 cm REPETIR As =

As = 0.454 cm² a =0.43 cm REPETIR As =

As = 0.453 cm² a =0.43 cm OK As =

As = 0.453 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

Page 397: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL C - C

P TRAMO L WuM° NEG. (Tn-m)

IZQ. DER.

4.6 1.277 0.363 2.458

3.65 0.294 1.399 0.039

Viga 3 - 4 2.65 1.277 0.301 0.953

Viga 4 - 5 3.8 1.028 0.958 1.818

Viga 5 - 6 4.95 1.110 2.371 1.376

4.6 0.294 0.624 0.527

3.65 0.294 0.283 0.258

Viga 3 - 4 2.65 0.294 0.280 0.205

Viga 4 - 5 3.8 0.294 0.242 0.456

Viga 5 - 6 4.95 0.294 0.633 0.463

1. DIMENSION Y PROPIEDADES DE LA VIGA

25.00 cm PERALTE EFECTIVO DE LA SECCIÓN35.00 cm

210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

4200 Kg/cm² Ф Asumo: 3/4 1.91

0.85 Ф Estribos: 3/8 0.95

4.00 cm

d: 29.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESDIAMETRO Peso Area 1/2 - 3/8" Area (cm2)

pulg cm Kg/m cm2 2 Φ 3/8 1.42

3/8 0.95 0.559 0.71 1 Φ 1/2 + 1 Φ 3/8 2

1/2 1.27 0.993 1.29 3 Φ 3/8 2.13

5/8 1.59 1.552 1.98 2 Φ 1/2 2.58

3/4 1.91 2.235 2.85 1 Φ 1/2 + 2 Φ 3/8 2.71

7/8 2.22 3.042 3.88 4 Φ 3/8 2.84

1 2.54 3.973 5.1 2 Φ 1/2 + 1 Φ 3/8 3.29

1 1/8 2.86 5.028 6.45 3 Φ 1/2 3.87

1 1/4 3.18 6.207 8.19 2 Φ 1/2 + 2 Φ 3/8 4

1 3/8 3.49 7.511 9.58 3 Φ 1/2 + 1 Φ 3/8 4.58

1 1/2 3.81 8.938 11.4 4 Φ 1/2 5.16

COMBINACIONES RECOMENDADAS 1/2 - 5/8" Area (cm2)

1/2 - 3/8" 1 Φ 1/2 + 1 Φ 5/8 3.27

1/2 - 5/8" 2 Φ 5/8 3.96

1/2 - 3/4" 2 Φ 1/2 + 1 Φ 5/8 4.56

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Y21
REQUE: Base de la viga.
Y22
REQUE: Altura de la Viga.
Y23
REQUE: Resistencia a la compresion del concreto.
Y24
REQUE: Esfuerzo de Fluencia del Acero
AA24
REQUE: Acero Longitudinal que asumo para las vigas.
Y26
REQUE: Recubrimiento según Norma.
AB27
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 398: cortante deVIGAS 01.xlsx

5/8 - 1" 1 Φ 1/2 + 2 Φ 5/8 5.25

3/4 - 1" 3 Φ 1/2 + 1 Φ 5/8 5.85

3 Φ 5/8 5.94

5/8 - 1" Area (cm2) 2 Φ 1/2 + 2 Φ 5/8 6.54

1 Φ 1 + 1 Φ 5/8 7.080 1 Φ 1/2 + 3 Φ 5/8 7.23

2 Φ 1 10.200 4 Φ 5/8 7.92

2 Φ 1+ 1 Φ 5/8 12.180

2 Φ 1+ 2 Φ 5/8 14.160 1/2 - 3/4" Area (cm2)

3 Φ 1 15.300 1 Φ 1/2 + 1 Φ 3/4 4.14

2 Φ 1/2 + 1 Φ 3/4 5.43

3/4 - 1" Area (cm2) 2 Φ 3/4 5.7

1 Φ 3/4 + 1 Φ 1 7.950 1 Φ 1/2 + 2 Φ 3/4 6.99

1 Φ 1 + 2 Φ 3/4 10.800 3 Φ 3/4 8.55

2 Φ 1 + 1 Φ 3/4 13.050 2 Φ 1/2 + 2 Φ 3/4 6.456

2 Φ 1+ 2 Φ 3/4 15.900 4 Φ 3/4 11.4

3. DETERMINACION DEL ACERO MINIMO

ρ min * b * d

0.0024

1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

4. DETERMINACION DEL ACERO MAXIMO

(0.723.f'c/fy)*(6300/(6300+fy))

0.0217

0.75.Pb 0.0163

11.833 cm² 2 Φ 1+ 1 Φ 5/8 12.180 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS1.966 Tn-m

0.230 Tn-m

Viga 3 - 4 0.494 Tn-m

Viga 4 - 5 0.467 Tn-m

Viga 5 - 6 1.525 Tn-m

0.202 Tn-m

0.219 Tn-m

Viga 3 - 4 0.015 Tn-m

Viga 4 - 5 0.182 Tn-m

Viga 5 - 6 0.352 Tn-m

PRIMER PISO PRIMER PISO

1.966 Tn-m Mmax (+) 0.230 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

1.882 cm² a =1.77 cm REPETIR As = 0.220 cm² a =0.21 cm REPETIR

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

Page 399: cortante deVIGAS 01.xlsx

1.844 cm² a =1.74 cm REPETIR As = 0.210 cm² a =0.20 cm OK1.843 cm² a =1.73 cm OK As = 0.210 cm²

1.843 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO PRIMER PISO

0.494 Tn-m Mmax (+) 0.467 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.473 cm² a =0.44 cm REPETIR As = 0.447 cm² a =0.42 cm REPETIR0.453 cm² a =0.43 cm REPETIR As = 0.427 cm² a =0.40 cm REPETIR0.452 cm² a =0.43 cm OK As = 0.427 cm² a =0.40 cm OK0.452 cm² As = 0.427 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO SEGUNDO PISO

1.525 Tn-m Mmax (+) 0.202 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

1.460 cm² a =1.37 cm REPETIR As = 0.193 cm² a =0.18 cm REPETIR1.420 cm² a =1.34 cm REPETIR As = 0.184 cm² a =0.17 cm OK1.419 cm² a =1.34 cm OK As = 0.184 cm²

1.419 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

0.219 Tn-m Mmax (+) 0.015 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.210 cm² a =0.20 cm REPETIR As = 0.015 cm² a =0.01 cm REPETIR0.200 cm² a =0.19 cm OK As = 0.014 cm² a =0.01 cm OK0.200 cm² As = 0.014 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

0.182 Tn-m Mmax (+) 0.352 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.174 cm² a =0.16 cm REPETIR As = 0.337 cm² a =0.32 cm REPETIR

Page 400: cortante deVIGAS 01.xlsx

0.166 cm² a =0.16 cm OK As = 0.322 cm² a =0.30 cm REPETIR0.166 cm² As = 0.322 cm² a =0.30 cm OK

As = 0.322 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

B. ACEROS NEGATIVOS Izquierda Derecha FORMULASM max 0.363 Tn-m 2.458 Tn-m

M max 1.399 Tn-m 0.039 Tn-m

M max 0.301 Tn-m 0.953 Tn-m

M max 0.958 Tn-m 1.818 Tn-m

M max 2.371 Tn-m 1.376 Tn-m

M max 0.624 Tn-m 0.527 Tn-m

M max 0.283 Tn-m 0.258 Tn-m

M max 0.280 Tn-m 0.205 Tn-m

M max 0.242 Tn-m 0.456 Tn-m

M max 0.633 Tn-m 0.463 Tn-m

PRIMER PISO PRIMER PISO

0.363 Tn-m Mmax (+) 2.458 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.348 cm² a =0.33 cm REPETIR As = 2.353 cm² a =2.21 cm REPETIR0.332 cm² a =0.31 cm REPETIR As = 2.324 cm² a =2.19 cm REPETIR0.332 cm² a =0.31 cm OK As = 2.322 cm² a =2.19 cm OK0.332 cm² As = 2.322 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 1/2 2.580 cm²

PRIMER PISO PRIMER PISO

0.301 Tn-m Mmax (+) 0.958 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.288 cm² a =0.27 cm REPETIR As = 0.917 cm² a =0.86 cm REPETIR0.275 cm² a =0.26 cm REPETIR As = 0.884 cm² a =0.83 cm REPETIR0.275 cm² a =0.26 cm OK As = 0.884 cm² a =0.83 cm OK0.275 cm² As = 0.884 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

PRIMER PISO PRIMER PISO

2.371 Tn-m Mmax (+) 1.376 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

bcf

fyAsa

.'.85.0

.

)2/.(. adfy

MuAs

Page 401: cortante deVIGAS 01.xlsx

2.269 cm² a =2.14 cm REPETIR As = 1.317 cm² a =1.24 cm REPETIR2.238 cm² a =2.11 cm REPETIR As = 1.278 cm² a =1.20 cm REPETIR2.237 cm² a =2.11 cm OK As = 1.277 cm² a =1.20 cm OK2.237 cm² As = 1.277 cm²

2 Φ 1/2 2.580 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

0.624 Tn-m Mmax (+) 0.527 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.597 cm² a =0.56 cm REPETIR As = 0.505 cm² a =0.48 cm REPETIR0.573 cm² a =0.54 cm REPETIR As = 0.483 cm² a =0.46 cm REPETIR0.573 cm² a =0.54 cm OK As = 0.483 cm² a =0.45 cm OK0.573 cm² As = 0.483 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

0.280 Tn-m Mmax (+) 0.242 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.268 cm² a =0.25 cm REPETIR As = 0.231 cm² a =0.22 cm REPETIR0.255 cm² a =0.24 cm REPETIR As = 0.220 cm² a =0.21 cm REPETIR0.255 cm² a =0.24 cm OK As = 0.220 cm² a =0.21 cm OK0.255 cm² As = 0.220 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

SEGUNDO PISO SEGUNDO PISO

0.633 Tn-m Mmax (+) 0.463 Tn-m

25.00 cm b = 25.00 cm

29.10 cm d = 29.10 cm

0.9 Ф = 0.9

a = 0.10.d a =2.91 cm Asumir: a = 0.10.d a =2.91 cm

0.606 cm² a =0.57 cm REPETIR As = 0.443 cm² a =0.42 cm REPETIR0.581 cm² a =0.55 cm REPETIR As = 0.424 cm² a =0.40 cm REPETIR0.581 cm² a =0.55 cm OK As = 0.424 cm² a =0.40 cm OK0.581 cm² As = 0.424 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

Page 402: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL C - C I. VIGAS - PORTICO PRINCIPAL D - D

M° POS. (Tn-m) P TRAMO L

1.966

4.6

-0.230 3.65

0.494 Viga 3 - 4 2.65

0.467 Viga 4 - 5 3.8

1.525 Viga 5 - 6 4.95

0.202

4.6

0.219 3.65

0.015 Viga 3 - 4 2.65

0.182 Viga 4 - 5 3.8

0.352 Viga 5 - 6 4.95

1. DIMENSION Y PROPIEDADES DE LA VIGA

b = 25.00 cm PERALTE EFECTIVO DE LA SECCIÓNh = 0.00 cm

f'c = 210 Kg/cm² Aceros Diam.(Pulg) Diam. (cm)

fy = 4200 Kg/cm² Ф Asumo: 3/4 1.91

β = 0.85 Ф Estribos: 3/8 0.95

r = 4.00 cm

d: 29.10 cm

2. COMBINACIONES DE ACEROS

ACEROS COMERCIALESBARRA DIAMETRO Peso Area

N° pulg cm Kg/m cm2

3 3/8 0.95 0.559 0.71

4 1/2 1.27 0.993 1.29

5 5/8 1.59 1.552 1.98

6 3/4 1.91 2.235 2.85

7 7/8 2.22 3.042 3.88

8 1 2.54 3.973 5.1

9 1 1/8 2.86 5.028 6.45

10 1 1/4 3.18 6.207 8.19

11 1 3/8 3.49 7.511 9.58

12 1 1/2 3.81 8.938 11.4

COMBINACIONES RECOMENDADAS

1/2 - 3/8"

1/2 - 5/8"

1/2 - 3/4"

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

AJ21
REQUE: Base de la viga.
AJ22
REQUE: Altura de la Viga.
AJ23
REQUE: Resistencia a la compresion del concreto.
AJ24
REQUE: Esfuerzo de Fluencia del Acero
AL24
REQUE: Acero Longitudinal que asumo para las vigas.
AJ26
REQUE: Recubrimiento según Norma.
AM27
REQUE: Peralte efectivo = h - Recub - Фestrib - Фasumo/2
Page 403: cortante deVIGAS 01.xlsx

5/8 - 1"

3/4 - 1"

5/8 - 1" Area (cm2)

1 Φ 1 + 1 Φ 5/8 7.080

2 Φ 1 10.200

2 Φ 1+ 1 Φ 5/8 12.180

2 Φ 1+ 2 Φ 5/8 14.160

3 Φ 1 15.300

3/4 - 1" Area (cm2)

1 Φ 3/4 + 1 Φ 1 7.950

1 Φ 1 + 2 Φ 3/4 10.800

2 Φ 1 + 1 Φ 3/4 13.050

2 Φ 1+ 2 Φ 3/4 15.900

3. DETERMINACION DEL ACERO MINIMO

As min = ρ min * b * d

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

4. DETERMINACION DEL ACERO MAXIMO

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb 0.0163

As max = 11.833 cm² 2 Φ 1+ 1 Φ 5/8 12.180 cm²

5. DETERMINACION DEL REFUERZO EN LA VIGA

A. ACEROS POSITIVOS FORMULAS

1.833 Tn-m

0.631 Tn-m

Viga 3 - 4 0.182 Tn-m

Viga 4 - 5 0.729 Tn-m

Viga 5 - 6 1.728 Tn-m

0.228 Tn-m

0.176 Tn-m

Viga 3 - 4 0.066 Tn-m

Viga 4 - 5 0.165 Tn-m

Viga 5 - 6 0.347 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 1.833 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 1.755 cm² a =1.65 cm REPETIR As =

NOTA: Las combinaciones de fondo blanco son las que no se tomaran debido a que no estan dentro del As min y el As

max, tambien cuando estan sobrepasando el ancho de la viga (b)

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

bcf

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REQUE: Cuantia Minima (ρ min) = 0.7*Raiz (f'c/fy)
Page 404: cortante deVIGAS 01.xlsx

As = 1.716 cm² a =1.61 cm REPETIR As =

As = 1.714 cm² a =1.61 cm OK As =

As = 1.714 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 0.182 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.174 cm² a =0.16 cm REPETIR As =

As = 0.166 cm² a =0.16 cm OK As =

As = 0.166 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

PRIMER PISO SEGUNDO PISO

Mmax (+) 1.728 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 1.654 cm² a =1.56 cm REPETIR As =

As = 1.614 cm² a =1.52 cm REPETIR As =

As = 1.613 cm² a =1.52 cm OK As =

As = 1.613 cm²

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.176 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.168 cm² a =0.16 cm REPETIR As =

As = 0.160 cm² a =0.15 cm OK As =

As = 0.160 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.165 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.158 cm² a =0.15 cm REPETIR As =

Page 405: cortante deVIGAS 01.xlsx

As = 0.150 cm² a =0.14 cm OK As =

As = 0.150 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

B. ACEROS NEGATIVOS Izquierda Derecha FORMULAS

M max 0.225 Tn-m 2.862 Tn-m

M max 2.275 Tn-m 0.715 Tn-m

M max 0.389 Tn-m 0.492 Tn-m

M max 0.860 Tn-m 2.291 Tn-m

M max 2.816 Tn-m 1.550 Tn-m

M max 0.621 Tn-m 0.477 Tn-m

M max 0.325 Tn-m 0.302 Tn-m

M max 0.200 Tn-m 0.184 Tn-m

M max 0.294 Tn-m 0.438 Tn-m

M max 0.611 Tn-m 0.495 Tn-m

PRIMER PISO PRIMER PISO

Mmax (+) 0.225 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.216 cm² a =0.20 cm REPETIR As =

As = 0.206 cm² a =0.19 cm OK As =

As = 0.206 cm² As =

As =

Usar 2 Φ 3/8 1.420 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 0.715 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.684 cm² a =0.64 cm REPETIR As =

As = 0.658 cm² a =0.62 cm REPETIR As =

As = 0.657 cm² a =0.62 cm OK As =

As = 0.657 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

PRIMER PISO PRIMER PISO

Mmax (+) 2.816 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

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MuAs

Page 406: cortante deVIGAS 01.xlsx

As = 2.695 cm² a =2.54 cm REPETIR As =

As = 2.677 cm² a =2.52 cm REPETIR As =

As = 2.676 cm² a =2.52 cm OK As =

As = 2.676 cm² As =

Usar 1 Φ 1/2 + 2 Φ 3/8 2.710 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.621 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.594 cm² a =0.56 cm REPETIR As =

As = 0.570 cm² a =0.54 cm REPETIR As =

As = 0.570 cm² a =0.54 cm OK As =

As = 0.570 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.302 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.289 cm² a =0.27 cm REPETIR As =

As = 0.276 cm² a =0.26 cm REPETIR As =

As = 0.276 cm² a =0.26 cm OK As =

As = 0.276 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

SEGUNDO PISO SEGUNDO PISO

Mmax (+) 0.611 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Asumir: a = 0.10.d a =2.91 cm Asumir:

As = 0.585 cm² a =0.55 cm REPETIR As =

As = 0.561 cm² a =0.53 cm REPETIR As =

As = 0.561 cm² a =0.53 cm OK As =

As = 0.561 cm² As =

Usar 2 Φ 3/8 1.420 cm² Usar

Page 407: cortante deVIGAS 01.xlsx

DISEÑO - PORTICOS SECUNDARIOS

I. VIGAS - PORTICO PRINCIPAL D - D

WuM° NEG. (Tn-m)

M° POS. (Tn-m)IZQ. DER.

1.277 0.225 2.862 1.833

1.277 2.275 0.715 0.631

0.294 0.389 0.492 -0.182

1.277 0.860 2.291 0.729

1.277 2.816 1.550 1.728

0.294 0.621 0.477 0.228

0.294 0.325 0.302 0.176

0.294 0.200 0.184 0.066

0.294 0.294 0.438 0.165

0.294 0.611 0.495 0.347

1/2 - 3/8" Area (cm2)

2 Φ 3/8 1.42

1 Φ 1/2 + 1 Φ 3/8 2

3 Φ 3/8 2.13

2 Φ 1/2 2.58

1 Φ 1/2 + 2 Φ 3/8 2.71

4 Φ 3/8 2.84

2 Φ 1/2 + 1 Φ 3/8 3.29

3 Φ 1/2 3.87

2 Φ 1/2 + 2 Φ 3/8 4

3 Φ 1/2 + 1 Φ 3/8 4.58

4 Φ 1/2 5.16

1/2 - 5/8" Area (cm2)

1 Φ 1/2 + 1 Φ 5/8 3.27

2 Φ 5/8 3.96

2 Φ 1/2 + 1 Φ 5/8 4.56

Page 408: cortante deVIGAS 01.xlsx

1 Φ 1/2 + 2 Φ 5/8 5.25

3 Φ 1/2 + 1 Φ 5/8 5.85

3 Φ 5/8 5.94

2 Φ 1/2 + 2 Φ 5/8 6.54

1 Φ 1/2 + 3 Φ 5/8 7.23

4 Φ 5/8 7.92

1/2 - 3/4" Area (cm2)

1 Φ 1/2 + 1 Φ 3/4 4.14

2 Φ 1/2 + 1 Φ 3/4 5.43

2 Φ 3/4 5.7

1 Φ 1/2 + 2 Φ 3/4 6.99

3 Φ 3/4 8.55

2 Φ 1/2 + 2 Φ 3/4 6.456

4 Φ 3/4 11.4

PRIMER PISO

0.631 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.604 cm² a =0.57 cm REPETIR

Page 409: cortante deVIGAS 01.xlsx

0.579 cm² a =0.55 cm REPETIR0.579 cm² a =0.55 cm OK0.579 cm²

2 Φ 3/8 1.420 cm²

PRIMER PISO

0.729 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.697 cm² a =0.66 cm REPETIR0.670 cm² a =0.63 cm REPETIR0.670 cm² a =0.63 cm OK0.670 cm²

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.228 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.219 cm² a =0.21 cm REPETIR0.208 cm² a =0.20 cm OK0.208 cm²

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.066 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.063 cm² a =0.06 cm REPETIR0.060 cm² a =0.06 cm OK0.060 cm²

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.347 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.332 cm² a =0.31 cm REPETIR

Page 410: cortante deVIGAS 01.xlsx

0.318 cm² a =0.30 cm REPETIR0.317 cm² a =0.30 cm OK0.317 cm²

2 Φ 3/8 1.420 cm²

PRIMER PISO

2.862 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

2.740 cm² a =2.58 cm REPETIR2.723 cm² a =2.56 cm REPETIR2.722 cm² a =2.56 cm OK2.722 cm²

4 Φ 3/8 2.840 cm²

PRIMER PISO

0.860 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.823 cm² a =0.77 cm REPETIR0.793 cm² a =0.75 cm REPETIR0.792 cm² a =0.75 cm OK0.792 cm²

2 Φ 3/8 1.420 cm²

PRIMER PISO

1.550 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

Page 411: cortante deVIGAS 01.xlsx

1.483 cm² a =1.40 cm REPETIR1.444 cm² a =1.36 cm REPETIR1.443 cm² a =1.36 cm OK1.443 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO

0.477 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.457 cm² a =0.43 cm REPETIR0.437 cm² a =0.41 cm REPETIR0.437 cm² a =0.41 cm OK0.437 cm²

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.294 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.281 cm² a =0.26 cm REPETIR0.268 cm² a =0.25 cm REPETIR0.268 cm² a =0.25 cm OK0.268 cm²

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.495 Tn-m

25.00 cm

29.10 cm

0.9

a = 0.10.d a =2.91 cm

0.474 cm² a =0.45 cm REPETIR0.454 cm² a =0.43 cm REPETIR0.453 cm² a =0.43 cm OK0.453 cm²

2 Φ 3/8 1.420 cm²

Page 412: cortante deVIGAS 01.xlsx

DISEÑO DE REFUERZO TRANSVERSAL

VIGAS PRINCIPALES: PRIMER PISO

DATOS:

f'c = 210 Kg/cm²

fy = 4200 Kg/cm²

Ǿ flex. 0.9

Ǿ corte 0.85 oe man enviamer los excellb: 25.00 cm kn los dibujos asi km stan en el excel k te e pasado h: 45.00 cm la distribucion de los aceros longitudinales y los bastonesd: 39.10 cm pork envias kn t : 25.00 cm estribos se

supone lkeso se ase

despues k as echo tu dise VIGA PRINCIPAL: VP-101

3.290 cm² Wu = 3.73 T/m 5.850 cm² Wu = 3.73 T/m

4.25 m 2.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO A APOYO B APOYO C

As = 3.290 cm² As = 5.850 cm² As =

a = 3.096 cm a = 5.506 cm a =

Mr A = 4.669 Tn-m/m Mr B = 8.303 Tn-m/m Mr C =

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 4.669 Tn-m Mr B = 8.303 Tn-m Mr C =

4.25 m 2.25 m

oe mira el diseño por cortanate esos dibujos los e puesto pero no son kiero k los agas asi solo pa copiarlos y pegarlos solo ponle los acero longitudinales y los aceros de los bastones nada mas asi km stan en el excel pero envialos en excel solo los dibujos kn los aceros longitudinales y sus bastones de acuerdo a tu distribucion k as echo de aceros

APOYO "A" APOYO "B" APOYO "C"

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Page 413: cortante deVIGAS 01.xlsx

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 4.669 Tn-m 7.076 Tn

APOYO B 8.303 Tn-m -8.786 Tn 5.000 Tn

APOYO C 6.500 Tn-m -3.398 Tn 8.168 Tn

APOYO D 5.493 Tn-m -7.694 Tn

-8.786 Tn -3.398 Tn

4.25 m 2.25 m

7.076 Tn 5.000 Tn 8.168 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 5.150 Tn Vud = 3.074 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -2.356 Tn Vs = -4.432 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -2.356 Tn V's = 29.743 Tn mayor que: -4.432 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -2.356 Tn V's = 15.580 Tn mayor que: -4.432 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

VnVud

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dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 414: cortante deVIGAS 01.xlsx

Z = 2.000 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 7.076 Tn Cubre Tranquilam 5.000 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

2.122 m 2.252 m

Nº de estribos : 17 estribos 17 @ 0.125 Nº de estribos : 19 estribos 19 @ 0.125

Longitud Estribada 2.125 m Longitud Estribada 2.375 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

4.465 m

Execde distancia que queda por estribar

-0.175 m

Nº de estribos : -1 estribos -1 @ 0.1

Longitud Estribada -0.10 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

VIGA PRINCIPAL: VP-102

2.580 cm² Wu = 5.59 T/m 3.960 cm² Wu = 5.25 T/m

3.05 m 3.08 m

APOYO "A" APOYO "B" APOYO "C"

s

dfyAsVS

min

Page 415: cortante deVIGAS 01.xlsx

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO A APOYO B APOYO C

As = 2.580 cm² As = 3.960 cm² As =

a = 2.428 cm a = 3.727 cm a =

Mr A = 3.694 Tn-m/m Mr B = 5.620 Tn-m/m Mr C =

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 3.694 Tn-m Mr B = 5.620 Tn-m Mr C =

3.05 m 3.08 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 3.694 Tn-m 7.898 Tn

APOYO B 5.620 Tn-m -9.161 Tn 7.166 Tn

APOYO C 8.430 Tn-m -8.991 Tn 10.414 Tn

APOYO D 4.641 Tn-m -8.326 Tn

-9.161 Tn -8.991 Tn

3.05 m 3.08 m

7.898 Tn 7.166 Tn 10.414 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 5.012 Tn Vud = 4.460 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

VnVud

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Page 416: cortante deVIGAS 01.xlsx

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -2.494 Tn Vs = -3.047 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -2.494 Tn V's = 29.743 Tn mayor que: -3.047 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -2.494 Tn V's = 15.580 Tn mayor que: -3.047 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 7.898 Tn Cubre Tranquilam 7.166 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

1.426 m 1.571 m

Nº de estribos : 12 estribos 12 @ 0.125 Nº de estribos : 13 estribos 13 @ 0.125

Longitud Estribada 1.500 m Longitud Estribada 1.625 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

2.928 m

s

dfyAsVS

min

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 417: cortante deVIGAS 01.xlsx

Execde distancia que queda por estribar

-0.050 m

Nº de estribos : 0 estribos 0 @ 0.1

Longitud Estribada 0.00 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

VIGA PRINCIPAL: VP-103

2.000 cm² Wu = 4.55 T/m 2.130 cm² Wu = 4.20 T/m

3.05 m 3.08 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO A APOYO B APOYO C

As = 2.000 cm² As = 2.130 cm² As =

a = 2.428 cm a = 2.005 cm a =

Mr A = 2.864 Tn-m/m Mr B = 3.023 Tn-m/m Mr C =

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 2.864 Tn-m Mr B = 3.023 Tn-m Mr C =

3.05 m 3.08 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 2.864 Tn-m 6.881 Tn

APOYO B 3.023 Tn-m -6.985 Tn 6.199 Tn

APOYO "A" APOYO "B" APOYO "C"

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Page 418: cortante deVIGAS 01.xlsx

APOYO C 3.846 Tn-m -6.734 Tn 8.201 Tn

APOYO D 4.031 Tn-m -8.303 Tn

-6.985 Tn -6.734 Tn

3.05 m 3.08 m

6.881 Tn 6.199 Tn 8.201 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 4.535 Tn Vud = 4.033 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -2.971 Tn Vs = -3.474 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -2.971 Tn V's = 29.743 Tn mayor que: -3.474 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -2.971 Tn V's = 15.580 Tn mayor que: -3.474 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

VnVud

s

dfyAsVS

min

i

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MrMrlwV

)(

2

.

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 419: cortante deVIGAS 01.xlsx

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 6.881 Tn Cubre Tranquilam 6.199 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

2.182 m 1.816 m

Nº de estribos : 18 estribos 18 @ 0.125 Nº de estribos : 15 estribos 15 @ 0.125

Longitud Estribada 2.250 m Longitud Estribada 1.875 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

4.527 m

Execde distancia que queda por estribar

-0.300 m

Nº de estribos : -3 estribos -3 @ 0.1

Longitud Estribada -0.30 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

VIGA PRINCIPAL: VP-104

3.870 cm² Wu = 4.04 T/m 4.000 cm² Wu = 4.19 T/m

3.05 m 3.08 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO "A" APOYO "B" APOYO "C"

s

dfyAsVS

min

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

Page 420: cortante deVIGAS 01.xlsx

APOYO A APOYO B APOYO C

As = 3.870 cm² As = 4.000 cm² As =

a = 2.428 cm a = 3.765 cm a =

Mr A = 5.541 Tn-m/m Mr B = 5.677 Tn-m/m Mr C =

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 5.541 Tn-m Mr B = 5.677 Tn-m Mr C =

3.05 m 3.08 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 5.541 Tn-m 6.118 Tn

APOYO B 5.677 Tn-m -6.207 Tn 6.179 Tn

APOYO C 6.500 Tn-m -6.713 Tn 7.262 Tn

APOYO D 7.323 Tn-m -7.715 Tn

-6.207 Tn -6.713 Tn

3.05 m 3.08 m

6.118 Tn 6.179 Tn 7.262 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 4.033 Tn Vud = 4.019 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -3.473 Tn Vs = -3.488 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

VnVud

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud dbcfVc ´53.0

Page 421: cortante deVIGAS 01.xlsx

V's = 29.743 Tn mayor que: -3.473 Tn V's = 29.743 Tn mayor que: -3.488 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -3.473 Tn V's = 15.580 Tn mayor que: -3.488 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 6.118 Tn Cubre Tranquilam 6.179 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

2.454 m 1.822 m

Nº de estribos : 20 estribos 20 @ 0.125 Nº de estribos : 15 estribos 15 @ 0.125

Longitud Estribada 2.500 m Longitud Estribada 1.875 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

5.122 m

Execde distancia que queda por estribar

-0.550 m

Nº de estribos : -5 estribos -5 @ 0.1

Longitud Estribada -0.50 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

s

dfyAsVS

min

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 422: cortante deVIGAS 01.xlsx

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

VIGA PRINCIPAL: VP-105

3.270 cm² Wu = 5.81 T/m 3.960 cm² Wu = 5.42 T/m

3.05 m 3.08 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO A APOYO B APOYO C

As = 3.270 cm² As = 3.960 cm² As =

a = 2.428 cm a = 3.727 cm a =

Mr A = 4.682 Tn-m/m Mr B = 5.620 Tn-m/m Mr C =

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 4.682 Tn-m Mr B = 5.620 Tn-m Mr C =

3.05 m 3.08 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 4.682 Tn-m 8.548 Tn

APOYO B 5.620 Tn-m -9.163 Tn 8.077 Tn

APOYO C 6.472 Tn-m -8.630 Tn 10.269 Tn

APOYO D 7.451 Tn-m -10.809 Tn

-9.163 Tn -8.630 Tn

APOYO "A" APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

i

jiiui l

MrMrlwV

)(

2

.

Page 423: cortante deVIGAS 01.xlsx

3.05 m 3.08 m

8.548 Tn 8.077 Tn 10.269 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 5.552 Tn Vud = 5.279 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -1.955 Tn Vs = -2.228 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -1.955 Tn V's = 29.743 Tn mayor que: -2.228 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -1.955 Tn V's = 15.580 Tn mayor que: -2.228 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

VnVud

s

dfyAsVS

min

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 424: cortante deVIGAS 01.xlsx

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 8.548 Tn Cubre Tranquilam 8.077 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

1.317 m 1.394 m

Nº de estribos : 11 estribos 11 @ 0.125 Nº de estribos : 12 estribos 12 @ 0.125

Longitud Estribada 1.375 m Longitud Estribada 1.500 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

2.717 m

Execde distancia que queda por estribar

0.075 m

Nº de estribos : 1 estribos 1 @ 0.1

Longitud Estribada 0.10 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

VIGA PRINCIPAL: VP-106

5.850 cm² Wu = 3.78 T/m 5.940 cm² Wu = 3.77 T/m

3.05 m 3.08 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO A APOYO B APOYO C

As = 5.850 cm² As = 5.940 cm² As =

a = 2.428 cm a = 5.591 cm a =

Mr A = 8.377 Tn-m/m Mr B = 8.430 Tn-m/m Mr C =

APOYO "A" APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

Page 425: cortante deVIGAS 01.xlsx

DIAGRAMA DE MO MENTOS RESISTENTES

Mr A = 8.377 Tn-m Mr B = 8.430 Tn-m Mr C =

3.05 m 3.08 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

APOYO Mr Vi Vi'

APOYO A 8.377 Tn-m 5.743 Tn

APOYO B 8.430 Tn-m -5.778 Tn 5.535 Tn

APOYO C 9.282 Tn-m -6.088 Tn 6.311 Tn

APOYO D 11.241 Tn-m -7.390 Tn

-5.778 Tn -6.088 Tn

3.05 m 3.08 m

5.743 Tn 5.535 Tn 6.311 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 3.794 Tn Vud = 3.588 Tn

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc = 7.507 Tn

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -3.713 Tn Vs = -3.918 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -3.713 Tn V's = 29.743 Tn mayor que: -3.918 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

VnVud

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.2'

Page 426: cortante deVIGAS 01.xlsx

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -3.713 Tn V's = 15.580 Tn mayor que: -3.918 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 1.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 1.420 cm² 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

Cubre Tranquilam 5.743 Tn Cubre Tranquilam 5.535 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m

2.614 m 2.034 m

Nº de estribos : 21 estribos 21 @ 0.125 Nº de estribos : 17 estribos 17 @ 0.125

Longitud Estribada 2.625 m Longitud Estribada 2.125 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m

5.495 m

Execde distancia que queda por estribar

-0.675 m

Nº de estribos : -6 estribos -6 @ 0.1

Longitud Estribada -0.60 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]

s

dfyAsVS

min

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 427: cortante deVIGAS 01.xlsx

VIGAS PRINCIPALES: PRIMER PISO VIGAS PRINCIPALES: SEGUNDO PISO

DATOS:

f'c = 210 Kg/cm²

fy = 4200 Kg/cm²

Ǿ flex. 0.9

Ǿ corte 0.85

b: 25.00 cm

h: 45.00 cm

d: 39.10 cm

t : 25.00 cm

4.580 cm² Wu = 3.73 T/m 3.870 cm² 3.290 cm²

4.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO C APOYO D APOYO A

4.580 cm² As = 3.870 cm² As = 3.290 cm²

4.311 cm a = 3.642 cm a = 3.096 cm

6.500 Tn-m/m Mr D = 5.493 Tn-m/m Mr A = 3.426 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

6.500 Tn-m Mr D = 5.493 Tn-m Mr A = 3.426 Tn-m

4.25 m 4.25 m

oe mira el diseño por cortanate esos dibujos los e puesto pero no son kiero k los agas asi solo pa copiarlos y pegarlos solo ponle los acero longitudinales y los aceros de los bastones nada mas asi km stan en el excel pero envialos en excel solo los dibujos kn los aceros longitudinales y sus bastones de acuerdo a tu distribucion k as echo de aceros

APOYO "C" APOYO "D" APOYO "A"

Page 428: cortante deVIGAS 01.xlsx

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 3.426 Tn-m

APOYO B 6.091 Tn-m

APOYO C 4.769 Tn-m

APOYO D 4.748 Tn-m

-7.694 Tn

4.25 m

7.336 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 6.242 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -1.264 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -1.264 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -1.264 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

VnVud

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 429: cortante deVIGAS 01.xlsx

Z = 2.500 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 8.168 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.298 m 2.047 m

Nº de estribos : 19 estribos 19 @ 0.125 Nº de estribos : 17 estribos

Longitud Estribada 2.375 m Longitud Estribada 2.125 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

4.762 m 4.232 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

0.075 m -0.175 m

Nº de estribos : 1 estribos 1 @ 0.1 Nº de estribos : -1 estribos

Longitud Estribada 0.10 m Longitud Estribada -0.10 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

5.940 cm² Wu = 5.16 T/m 3.270 cm² 2.000 cm²

3.63 m 4.25 m

APOYO "C" APOYO "D" APOYO "A"

Page 430: cortante deVIGAS 01.xlsx

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO C APOYO D APOYO A

5.940 cm² As = 3.270 cm² As = 2.000 cm²

5.591 cm a = 3.078 cm a = 1.882 cm

8.430 Tn-m/m Mr D = 4.641 Tn-m/m Mr A = 2.864 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

8.430 Tn-m Mr D = 4.641 Tn-m Mr A = 2.864 Tn-m

3.63 m 3.05 m

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 2.864 Tn-m

APOYO B 3.050 Tn-m

APOYO C 3.694 Tn-m

APOYO D 3.880 Tn-m

-8.326 Tn

3.63 m

5.951 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 7.751 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

dbcfVc ´53.0 VnVud

Page 431: cortante deVIGAS 01.xlsx

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = 0.244 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: 0.244 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: 0.244 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.500 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 10.414 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

1.802 m 3.154 m

Nº de estribos : 15 estribos 15 @ 0.125 Nº de estribos : 26 estribos

Longitud Estribada 1.875 m Longitud Estribada 3.250 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

3.722 m 6.546 m

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 432: cortante deVIGAS 01.xlsx

Execde distancia que queda por estribar Execde distancia que queda por estribar

0.575 m -0.800 m

Nº de estribos : 6 estribos 6 @ 0.1 Nº de estribos : -8 estribos

Longitud Estribada 0.60 m Longitud Estribada -0.80 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

2.710 cm² Wu = 4.55 T/m 2.840 cm² 3.270 cm²

3.63 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO C APOYO D APOYO A

2.710 cm² As = 2.840 cm² As = 3.270 cm²

2.551 cm a = 2.673 cm a = 1.882 cm

3.846 Tn-m/m Mr D = 4.031 Tn-m/m Mr A = 4.682 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

3.846 Tn-m Mr D = 4.031 Tn-m Mr A = 4.682 Tn-m

3.63 m 3.05 m

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 4.682 Tn-m

APOYO B 5.670 Tn-m

APOYO "C" APOYO "D" APOYO "A"

Page 433: cortante deVIGAS 01.xlsx

APOYO C 6.529 Tn-m

APOYO D 8.377 Tn-m

-8.303 Tn

3.63 m

4.346 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 5.855 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -1.651 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -1.651 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -1.651 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

VnVud

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 434: cortante deVIGAS 01.xlsx

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 8.201 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

1.831 m 3.455 m

Nº de estribos : 15 estribos 15 @ 0.125 Nº de estribos : 28 estribos

Longitud Estribada 1.875 m Longitud Estribada 3.500 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

3.811 m 7.231 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

0.075 m -1.550 m

Nº de estribos : 1 estribos 1 @ 0.1 Nº de estribos : -15 estribos

Longitud Estribada 0.10 m Longitud Estribada -1.50 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

4.580 cm² Wu = 4.13 T/m 5.160 cm² 4.140 cm²

3.63 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO "C" APOYO "D" APOYO "A"

Page 435: cortante deVIGAS 01.xlsx

APOYO C APOYO D APOYO A

4.580 cm² As = 5.160 cm² As = 4.140 cm²

4.311 cm a = 4.856 cm a = 1.882 cm

6.500 Tn-m/m Mr D = 7.323 Tn-m/m Mr A = 5.928 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

6.500 Tn-m Mr D = 7.323 Tn-m Mr A = 5.928 Tn-m

3.63 m 3.05 m

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 5.928 Tn-m

APOYO B 7.775 Tn-m

APOYO C 12.243 Tn-m

APOYO D 10.009 Tn-m

-7.715 Tn

3.63 m

4.091 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 5.133 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -2.374 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

dbcfVc ´53.0 VnVud

Page 436: cortante deVIGAS 01.xlsx

V's = 29.743 Tn mayor que: -2.374 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -2.374 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 7.262 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.068 m 3.669 m

Nº de estribos : 17 estribos 17 @ 0.125 Nº de estribos : 30 estribos

Longitud Estribada 2.125 m Longitud Estribada 3.750 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

4.297 m 7.647 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-0.175 m -1.800 m

Nº de estribos : -1 estribos -1 @ 0.1 Nº de estribos : -18 estribos

Longitud Estribada -0.10 m Longitud Estribada -1.80 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 437: cortante deVIGAS 01.xlsx

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

4.560 cm² Wu = 5.81 T/m 5.250 cm² 3.270 cm²

3.63 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO C APOYO D APOYO A

4.560 cm² As = 5.250 cm² As = 3.270 cm²

4.292 cm a = 4.941 cm a = 1.882 cm

6.472 Tn-m/m Mr D = 7.451 Tn-m/m Mr A = 4.682 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

6.472 Tn-m Mr D = 7.451 Tn-m Mr A = 4.682 Tn-m

3.63 m 3.05 m

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 4.682 Tn-m

APOYO B 5.670 Tn-m

APOYO C 7.517 Tn-m

APOYO D 10.353 Tn-m

-10.809 Tn

APOYO "C" APOYO "D" APOYO "A"

Page 438: cortante deVIGAS 01.xlsx

3.63 m

5.962 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 7.273 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -0.233 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -0.233 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -0.233 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

VnVud

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 439: cortante deVIGAS 01.xlsx

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 10.269 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

1.462 m 3.148 m

Nº de estribos : 12 estribos 12 @ 0.125 Nº de estribos : 26 estribos

Longitud Estribada 1.500 m Longitud Estribada 3.250 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

3.041 m 6.527 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

0.450 m -0.800 m

Nº de estribos : 5 estribos 5 @ 0.1 Nº de estribos : -8 estribos

Longitud Estribada 0.50 m Longitud Estribada -0.80 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

6.540 cm² Wu = 3.77 T/m 7.920 cm² 4.560 cm²

3.63 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO C APOYO D APOYO A

6.540 cm² As = 7.920 cm² As = 4.560 cm²

6.155 cm a = 7.454 cm a = 1.882 cm

9.282 Tn-m/m Mr D = 11.241 Tn-m/m Mr A = 6.529 Tn-m/m

APOYO "C" APOYO "D" APOYO "A"

Page 440: cortante deVIGAS 01.xlsx

DIAGRAMA DE MO MENTOS RESISTENTES

9.282 Tn-m Mr D = 11.241 Tn-m Mr A = 6.529 Tn-m

3.63 m 3.05 m

2. DIAGRAMA DE FUERZA CORTANTE

APOYO Mr

APOYO A 6.529 Tn-m

APOYO B 7.517 Tn-m

APOYO C 3.694 Tn-m

APOYO D 4.067 Tn-m

-7.390 Tn

3.63 m

3.936 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO C-D TRAMO A-B

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

Vud = 4.364 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

Vs = -3.143 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

V's = 29.743 Tn mayor que: -3.143 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

dbcfVc ´53.0

dbcfsV ..'1.2'

VnVud

dbcfsV ..'1.2'

Page 441: cortante deVIGAS 01.xlsx

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

V's = 15.580 Tn mayor que: -3.143 Tn V's = 15.580 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 2.000 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 6.311 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.379 m 3.814 m

Nº de estribos : 20 estribos 20 @ 0.125 Nº de estribos : 31 estribos

Longitud Estribada 2.500 m Longitud Estribada 3.875 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

TRAMO DE ESTRIBOS A @ 0.100 m TRAMO DE ESTRIBOS A

4.889 m 7.972 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-0.550 m -1.925 m

Nº de estribos : -5 estribos -5 @ 0.1 Nº de estribos : -19 estribos

Longitud Estribada -0.50 m Longitud Estribada -1.90 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 442: cortante deVIGAS 01.xlsx

VIGAS PRINCIPALES: SEGUNDO PISO

VIGA PRINCIPAL: VP-201

Wu = 3.75 T/m 5.850 cm² Wu = 3.75 T/m 4.580 cm²

4.25 m 2.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO B APOYO C

As = 5.850 cm² As = 4.580 cm²

a = 5.506 cm a = 4.311 cm

Mr B = 6.091 Tn-m/m Mr C = 4.769 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 6.091 Tn-m Mr C = 4.769 Tn-m

4.25 m 2.25 m 4.25 m

APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

Page 443: cortante deVIGAS 01.xlsx

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

7.336 Tn

-8.591 Tn 4.804 Tn

-3.628 Tn 7.968 Tn

-7.958 Tn

-8.591 Tn -3.628 Tn

4.25 m 2.25 m 4.25 m

4.804 Tn 7.968 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

5.777 Tn Vud = 2.870 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-1.729 Tn Vs = -4.637 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -1.729 Tn V's = 29.743 Tn mayor que: -4.637 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -1.729 Tn V's = 15.580 Tn mayor que: -4.637 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

VnVud

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2' dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 444: cortante deVIGAS 01.xlsx

Z = 1.500 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

7.336 Tn Cubre Tranquilam 4.804 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.344 m 2.355 m

17 @ 0.125 Nº de estribos : 19 estribos 19 @ 0.125 Nº de estribos : 19 estribos

Longitud Estribada 2.375 m Longitud Estribada 2.375 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA SEGUIMOS COLOCANDO ESTRIBOS

@ 0.100 m TRAMO DE ESTRIBOS A

4.940 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

0.075 m

-1 @ 0.1 Nº de estribos : 1 estribos

Longitud Estribada 0.10 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

VIGA PRINCIPAL: VP-202

Wu = 3.94 T/m 2.130 cm² Wu = 3.94 T/m 2.580 cm²

4.25 m 2.25 m 4.25 m

APOYO "B" APOYO "C"

s

dfyAsVS

min

Page 445: cortante deVIGAS 01.xlsx

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO B APOYO C

As = 2.130 cm² As = 2.580 cm²

a = 2.005 cm a = 2.428 cm

Mr B = 3.050 Tn-m/m Mr C = 3.694 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 3.050 Tn-m Mr C = 3.694 Tn-m

3.05 m 3.08 m 3.63 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

5.951 Tn

-6.073 Tn 5.862 Tn

-6.280 Tn 7.104 Tn

-7.206 Tn

-6.073 Tn -6.280 Tn

3.05 m 3.08 m 3.63 m

5.862 Tn 7.104 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

3.917 Tn Vud = 3.828 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

VnVud

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud dbcfVc ´53.0

Page 446: cortante deVIGAS 01.xlsx

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-3.590 Tn Vs = -3.679 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -3.590 Tn V's = 29.743 Tn mayor que: -3.679 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -3.590 Tn V's = 15.580 Tn mayor que: -3.679 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

5.951 Tn Cubre Tranquilam 5.862 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

1.921 m 2.642 m

26 @ 0.125 Nº de estribos : 16 estribos 16 @ 0.125 Nº de estribos : 22 estribos

Longitud Estribada 2.000 m Longitud Estribada 2.750 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m TRAMO DE ESTRIBOS A

5.456 m

s

dfyAsVS

min

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2' dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 447: cortante deVIGAS 01.xlsx

Execde distancia que queda por estribar Execde distancia que queda por estribar

-0.300 m

-8 @ 0.1 Nº de estribos : -3 estribos

Longitud Estribada -0.30 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

VIGA PRINCIPAL: VP-203

Wu = 3.06 T/m 3.960 cm² Wu = 3.06 T/m 4.560 cm²

4.25 m 2.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO B APOYO C

As = 3.960 cm² As = 4.560 cm²

a = 2.005 cm a = 2.428 cm

Mr B = 5.670 Tn-m/m Mr C = 6.529 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 5.670 Tn-m Mr C = 6.529 Tn-m

3.05 m 3.08 m 3.63 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

4.346 Tn

-4.994 Tn 4.437 Tn

APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

i

jiiui l

MrMrlwV

)(

2

.

Page 448: cortante deVIGAS 01.xlsx

-4.995 Tn 5.049 Tn

-6.067 Tn

-4.994 Tn -4.995 Tn

3.05 m 3.08 m 3.63 m

4.437 Tn 5.049 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

2.766 Tn Vud = 2.857 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-4.741 Tn Vs = -4.650 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -4.741 Tn V's = 29.743 Tn mayor que: -4.650 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -4.741 Tn V's = 15.580 Tn mayor que: -4.650 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

VnVud

s

dfyAsVS

min

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2' dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 449: cortante deVIGAS 01.xlsx

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

4.346 Tn Cubre Tranquilam 4.437 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.538 m 2.974 m

28 @ 0.125 Nº de estribos : 21 estribos 21 @ 0.125 Nº de estribos : 24 estribos

Longitud Estribada 2.625 m Longitud Estribada 3.000 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m TRAMO DE ESTRIBOS A

6.236 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-1.050 m

-15 @ 0.1 Nº de estribos : -10 estribos

Longitud Estribada -1.00 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

VIGA PRINCIPAL: VP-204

Wu = 3.08 T/m 5.430 cm² Wu = 3.08 T/m 8.550 cm²

4.25 m 2.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO "B" APOYO "C"

s

dfyAsVS

min

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

Page 450: cortante deVIGAS 01.xlsx

APOYO B APOYO C

As = 5.430 cm² As = 8.550 cm²

a = 2.005 cm a = 2.428 cm

Mr B = 7.775 Tn-m/m Mr C = 12.243 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 7.775 Tn-m Mr C = 12.243 Tn-m

3.05 m 3.08 m 3.63 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

4.091 Tn

-5.303 Tn 3.293 Tn

-6.194 Tn 6.206 Tn

-4.975 Tn

-5.303 Tn -6.194 Tn

3.05 m 3.08 m 3.63 m

3.293 Tn 6.206 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

2.502 Tn Vud = 1.704 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-5.004 Tn Vs = -5.803 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

VnVud

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud dbcfVc ´53.0

Page 451: cortante deVIGAS 01.xlsx

mayor que: -5.004 Tn V's = 29.743 Tn mayor que: -5.803 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -5.004 Tn V's = 15.580 Tn mayor que: -5.803 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.000 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

4.091 Tn Cubre Tranquilam 3.293 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.280 m 3.024 m

30 @ 0.125 Nº de estribos : 19 estribos 19 @ 0.125 Nº de estribos : 25 estribos

Longitud Estribada 2.375 m Longitud Estribada 3.125 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m TRAMO DE ESTRIBOS A

6.268 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-0.675 m

-18 @ 0.1 Nº de estribos : -6 estribos

Longitud Estribada -0.60 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

s

dfyAsVS

min

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2' dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 452: cortante deVIGAS 01.xlsx

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

VIGA PRINCIPAL: VP-205

Wu = 4.12 T/m 3.960 cm² Wu = 4.12 T/m 5.250 cm²

4.25 m 2.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO B APOYO C

As = 3.960 cm² As = 5.250 cm²

a = 2.005 cm a = 2.428 cm

Mr B = 5.670 Tn-m/m Mr C = 7.517 Tn-m/m

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 5.670 Tn-m Mr C = 7.517 Tn-m

3.05 m 3.08 m 3.63 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

5.962 Tn

-6.610 Tn 5.748 Tn

-6.947 Tn 6.700 Tn

-8.262 Tn

-6.610 Tn -6.947 Tn

APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

i

jiiui l

MrMrlwV

)(

2

.

Page 453: cortante deVIGAS 01.xlsx

3.05 m 3.08 m 3.63 m

5.748 Tn 6.700 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

3.835 Tn Vud = 3.621 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-3.672 Tn Vs = -3.886 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -3.672 Tn V's = 29.743 Tn mayor que: -3.886 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -3.672 Tn V's = 15.580 Tn mayor que: -3.886 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 2.000 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

VnVud

s

dfyAsVS

min

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2' dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 454: cortante deVIGAS 01.xlsx

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

5.962 Tn Cubre Tranquilam 5.748 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

1.959 m 2.241 m

26 @ 0.125 Nº de estribos : 16 estribos 16 @ 0.125 Nº de estribos : 18 estribos

Longitud Estribada 2.000 m Longitud Estribada 2.250 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m TRAMO DE ESTRIBOS A

4.710 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-0.300 m

-8 @ 0.1 Nº de estribos : -3 estribos

Longitud Estribada -0.30 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

VIGA PRINCIPAL: VP-206

Wu = 2.79 T/m 5.250 cm² Wu = 2.79 T/m 2.580 cm²

4.25 m 2.25 m 4.25 m

1. DIAGRAMA DE MOMENTOS REALES

MOMENTOS RESISTENTES:

Usando las formulas de flexion simple:

APOYO B APOYO C

As = 5.250 cm² As = 2.580 cm²

a = 2.005 cm a = 2.428 cm

Mr B = 7.517 Tn-m/m Mr C = 3.694 Tn-m/m

APOYO "B" APOYO "C"

wbcf

fyAsa

.'.85.0

. )2/.(.. adAsfyMr

Page 455: cortante deVIGAS 01.xlsx

DIAGRAMA DE MO MENTOS RESISTENTES

Mr B = 7.517 Tn-m Mr C = 3.694 Tn-m

3.05 m 3.08 m 3.63 m

2. DIAGRAMA DE FUERZA CORTANTE

arriba (-) abajo (+)

Vi Vi'

3.936 Tn

-4.584 Tn 5.543 Tn

-3.061 Tn 4.968 Tn

-5.173 Tn

-4.584 Tn -3.061 Tn

3.05 m 3.08 m 3.63 m

5.543 Tn 4.968 Tn

3. DISEÑO DEL REFUERZO TRANSVERSAL

TRAMO A-B TRAMO B-C TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d" CALCULO DEL CORTANTE A UNA DISTANCIA "d"

2.495 Tn Vud = 4.102 Tn Vud =

CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO CORTE TOMADO POR EL CONCRETO

7.507 Tn Vc = 7.507 Tn Vc =

CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO CORTE TOMADO POR EL ACERO

-5.012 Tn Vs = -3.405 Tn Vs =

MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -5.012 Tn V's = 29.743 Tn mayor que: -3.405 Tn V's = 29.743 Tn

Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte Si se puede diseñar refuerzo para que tome el corte

VnVud

i

jiiui l

MrMrlwV

)(

2

.

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.2' dbcfsV ..'1.2'

Page 456: cortante deVIGAS 01.xlsx

ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO ESPACIAMIENTO MAXIMO

mayor que: -5.012 Tn V's = 15.580 Tn mayor que: -3.405 Tn V's = 15.580 Tn

d/2 19.55 cm Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm 12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS 4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Z = 1.500 m Z = 2.500 m

Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a: Los espaciamientos se realizan generalmente a:

0.75 cm 0.75 cm

10.00 cm 10.00 cm

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

As min = 1.420 cm² 17.50 cm 17.50 cm

@ 5.0 cm Por norma @ 5.0 cm Por norma

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

3.936 Tn Cubre Tranquilam 5.543 Tn Cubre Tranquilam

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS 5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m TRAMO DE ESTRIBOS A @ 0.125 m TRAMO DE ESTRIBOS A

2.031 m 3.778 m

31 @ 0.125 Nº de estribos : 17 estribos 17 @ 0.125 Nº de estribos : 31 estribos

Longitud Estribada 2.125 m Longitud Estribada 3.875 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m TRAMO DE ESTRIBOS A

7.859 m

Execde distancia que queda por estribar Execde distancia que queda por estribar

-1.425 m

-19 @ 0.1 Nº de estribos : -14 estribos

Longitud Estribada -1.40 m

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]∎ 3/8 [email protected], [email protected]∎ 3/8 [email protected], [email protected], [email protected]

s

dfyAsVS

min

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

Page 457: cortante deVIGAS 01.xlsx

Wu = 3.75 T/m 4.560 cm²

4.25 m

APOYO D

As = 4.560 cm²

a = 4.292 cm

Mr D = 4.748 Tn-m/m

Mr D = 4.748 Tn-m

4.25 m

APOYO "D"

Page 458: cortante deVIGAS 01.xlsx

-7.958 Tn

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

6.035 Tn

CORTE TOMADO POR EL CONCRETO

7.507 Tn

CORTE TOMADO POR EL ACERO

-1.472 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -1.472 Tn

Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO

mayor que: -1.472 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 459: cortante deVIGAS 01.xlsx

Los espaciamientos se realizan generalmente a:

As min =

23.316 Tn

7.968 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

19 @ 0.125

SEGUIMOS COLOCANDO ESTRIBOS

@ 0.100 m

Execde distancia que queda por estribar

1 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]

Wu = 3.94 T/m 2.710 cm²

4.25 m

APOYO "D"

Page 460: cortante deVIGAS 01.xlsx

APOYO D

As = 2.710 cm²

a = 2.551 cm

Mr D = 3.880 Tn-m/m

Mr D = 3.880 Tn-m

3.63 m

-7.206 Tn

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

5.070 Tn

CORTE TOMADO POR EL CONCRETO

Page 461: cortante deVIGAS 01.xlsx

7.507 Tn

CORTE TOMADO POR EL ACERO

-2.437 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -2.437 Tn

Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO

mayor que: -2.437 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Los espaciamientos se realizan generalmente a:

As min =

23.316 Tn

7.104 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

22 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 462: cortante deVIGAS 01.xlsx

Execde distancia que queda por estribar

-3 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]

Wu = 3.06 T/m 5.850 cm²

4.25 m

APOYO D

As = 5.850 cm²

a = 2.551 cm

Mr D = 8.377 Tn-m/m

Mr D = 8.377 Tn-m

3.63 m

APOYO "D"

Page 463: cortante deVIGAS 01.xlsx

-6.067 Tn

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

3.469 Tn

CORTE TOMADO POR EL CONCRETO

7.507 Tn

CORTE TOMADO POR EL ACERO

-4.038 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -4.038 Tn

Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO

mayor que: -4.038 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Los espaciamientos se realizan generalmente a:

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 464: cortante deVIGAS 01.xlsx

As min =

23.316 Tn

5.049 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

24 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

Execde distancia que queda por estribar

-10 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]

Wu = 3.08 T/m 6.990 cm²

4.25 m

APOYO "D"

Page 465: cortante deVIGAS 01.xlsx

APOYO D

As = 6.990 cm²

a = 2.551 cm

Mr D = 10.009 Tn-m/m

Mr D = 10.009 Tn-m

3.63 m

-4.975 Tn

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

4.617 Tn

CORTE TOMADO POR EL CONCRETO

7.507 Tn

CORTE TOMADO POR EL ACERO

-2.890 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

Page 466: cortante deVIGAS 01.xlsx

mayor que: -2.890 Tn

Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO

mayor que: -2.890 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Los espaciamientos se realizan generalmente a:

As min =

23.316 Tn

6.206 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

25 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

Execde distancia que queda por estribar

-6 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 467: cortante deVIGAS 01.xlsx

3/8 [email protected], [email protected], [email protected]

Wu = 4.12 T/m 7.230 cm²

4.25 m

APOYO D

As = 7.230 cm²

a = 2.551 cm

Mr D = 10.353 Tn-m/m

Mr D = 10.353 Tn-m

3.63 m

-8.262 Tn

APOYO "D"

Page 468: cortante deVIGAS 01.xlsx

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

4.573 Tn

CORTE TOMADO POR EL CONCRETO

7.507 Tn

CORTE TOMADO POR EL ACERO

-2.933 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -2.933 Tn

Si se puede diseñar refuerzo para que tome el corte

ESPACIAMIENTO MAXIMO

mayor que: -2.933 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Los espaciamientos se realizan generalmente a:

As min =

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Page 469: cortante deVIGAS 01.xlsx

23.316 Tn

6.700 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

18 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

Execde distancia que queda por estribar

-3 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]

Wu = 2.79 T/m 2.840 cm²

4.25 m

APOYO D

As = 2.840 cm²

a = 2.551 cm

Mr D = 4.067 Tn-m/m

APOYO "D"

Page 470: cortante deVIGAS 01.xlsx

Mr D = 4.067 Tn-m

3.63 m

-5.173 Tn

TRAMO C-D

CALCULO DEL CORTANTE A UNA DISTANCIA "d"

3.526 Tn

CORTE TOMADO POR EL CONCRETO

7.507 Tn

CORTE TOMADO POR EL ACERO

-3.980 Tn

MAXIMO CORTANTE TOMADO POR EL REFUERZO

mayor que: -3.980 Tn

Si se puede diseñar refuerzo para que tome el corte

dbcfsV ..'1.2'

Page 471: cortante deVIGAS 01.xlsx

ESPACIAMIENTO MAXIMO

mayor que: -3.980 Tn

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

Los espaciamientos se realizan generalmente a:

As min =

23.316 Tn

4.968 Tn

5. DETERMINACION DE LAS LONGITUDES CUBIERTAS

@ 0.125 m

31 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

Execde distancia que queda por estribar

-14 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 [email protected], [email protected], [email protected]

dbcfsV ..'1.1'

Page 472: cortante deVIGAS 01.xlsx

TABLAS - PREDIMENSIONADO TABLAS - DISEÑO

COMBINACIONES RECOMENDADAS

1/2 - 3/8"

2 Φ 3/8

1 Φ 1/2 + 1 Φ 3/8

3 Φ 3/8

2 Φ 1/2

1 Φ 1/2 + 2 Φ 3/8

4 Φ 3/8

2 Φ 1/2 + 1 Φ 3/8

3 Φ 1/2

2 Φ 1/2 + 2 Φ 3/8

3 Φ 1/2 + 1 Φ 3/8

4 Φ 1/2

5/8 - 1"

1 Φ 1 + 1 Φ 5/8

2 Φ 1

2 Φ 1+ 1 Φ 5/8

2 Φ 1+ 2 Φ 5/8

3 Φ 1

3/4 - 1"

1 Φ 3/4 + 1 Φ 1

1 Φ 1 + 2 Φ 3/4

2 Φ 1 + 1 Φ 3/4

2 Φ 1+ 2 Φ 3/4

Page 473: cortante deVIGAS 01.xlsx

TABLAS - DISEÑO

COMBINACIONES RECOMENDADAS

Area 1/2 - 5/8" Area ACEROS COMERCIALES1.420 cm² 1 Φ 1/2 + 1 Φ 5/8 3.270 cm² BARRA DIAMETRO Peso

2.000 cm² 2 Φ 5/8 3.960 cm² numero pulg cm Kg/m

2.130 cm² 2 Φ 1/2 + 1 Φ 5/8 4.560 cm² 3 3/8 0.95 0.559

2.580 cm² 1 Φ 1/2 + 2 Φ 5/8 5.250 cm² 4 1/2 1.27 0.993

2.710 cm² 3 Φ 1/2 + 1 Φ 5/8 5.850 cm² 5 5/8 1.59 1.552

2.840 cm² 3 Φ 5/8 5.940 cm² 6 3/4 1.91 2.235

3.290 cm² 2 Φ 1/2 + 2 Φ 5/8 6.540 cm² 7 7/8 2.22 3.042

3.870 cm² 1 Φ 1/2 + 3 Φ 5/8 7.230 cm² 8 1 2.54 3.973

4.000 cm² 4 Φ 5/8 7.920 cm² 9 1 1/8 2.86 5.028

4.580 cm² 1/2 - 3/4" Area 10 1 1/4 3.18 6.207

5.160 cm² 1 Φ 1/2 + 1 Φ 3/4 4.140 cm² 11 1 3/8 3.49 7.511

Area 2 Φ 1/2 + 1 Φ 3/4 5.430 cm² 12 1 1/2 3.81 8.938

7.080 cm² 2 Φ 3/4 5.700 cm²

10.200 cm² 1 Φ 1/2 + 2 Φ 3/4 6.990 cm²

12.180 cm² 3 Φ 3/4 8.550 cm²

14.160 cm² 2 Φ 1/2 + 2 Φ 3/4 8.280 cm²

15.300 cm² 4 Φ 3/4 11.400 cm²

Area

7.950 cm²

10.800 cm²

13.050 cm²

15.900 cm²

NOTA: Las celdas que estan de fondo blanco son combinaciones que no se pueden tomar porque son menores que el acerro minimo o mayores que el acero

maximo, tambien cuando estan sobrepasando en ancho b = 0.25 m

Page 474: cortante deVIGAS 01.xlsx

ACEROS COMERCIALESArea

cm2

0.71

1.29

1.98

2.85

3.88

5.1

6.45

8.19

9.58

11.4

Page 475: cortante deVIGAS 01.xlsx
Page 476: cortante deVIGAS 01.xlsx