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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

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)

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

t = 23.80220078 cm

Usarb= 0.25 m

t = 17.09848225 cm

Usarb= 0.25 m

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

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

t = 14.34176076 cm

Usarb= 0.25 m

t = 0.25 m

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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

f´c= Resistencia del concreto a la compresión simple

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)

t = 17.96706511 cm t = 19.5420767 cm t = 15.72041439

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

t = 15.76946416 cm t = 17.15183178 cm t = 18.39187709

t = 0.25 m t = 0.25 m t = 0.25

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

# 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

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

# 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

t = 0.25 m t = 0.25 m t = 0.25

Columna esquinada C-23

kg/piso

kg/cm2

Kg/pisoKg

mColumna externa C-8

kg/piso

kg/cm2

Kg/pisoKg

mColumna externa C-16

kg/piso

kg/cm2

Kg/pisoKg

Columna Interna C-10

kg/piso

kg/cm2

Kg/pisoKg

mColumna Interna C-18

kg/piso

kg/cm2

Kg/pisoKg

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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

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

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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

(EJE X - X)

(EJE Y - Y)

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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

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

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

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

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

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)

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

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

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

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)

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

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

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

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

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

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

2.2. VIGAS SECUNDARIAS

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

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

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

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

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)

Peso de Parapeto

Carga Muerta (Wm)

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 - 23

C - 17

C - 13

C - 18

C - 14

C - 10

C - 19

C - 15

C - 11

III IV V

VII VII IX

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

Carga Ubicada en 2º Piso

1.4 * Wm 1.7 * Wv

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

1.07 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

0.29 T/m 0.00 T/m 0.29 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)

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

0.00 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 0.36 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

0.27 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

Carga Ubicada en la Azotea

1.4 * Wm 1.7 * Wv

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

Carga Muerta (Wm)

Wu = 1.4 (Wm) + 1.7 (Wv)

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

2.60 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 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 2.28 T/m

2.60 m 2.60 m

0.35 2.29 T/m

3.75 m 3.75 m

6.13 3.63 6.13

COMBINACION 1

0.352.28 T/m

0.701.91 T/m

COMBINACION 2

0.352.28 T/m

1.91 T/m

COMBINACION 3

2.28 T/m

1.91 T/m

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

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

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

2 32.63 2.63

25X25 25X25

25X45 5 62.99 2.60

25X25 25X25

8 96.13 3.63

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

-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

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

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

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

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

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

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

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

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

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

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

-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

0.1932 4º

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

-0.0005

0.1181 3º

-0.2923

0.2086

-0.0122

-0.0060

-0.0015

-0.0004

-0.1038

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

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

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

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

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

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

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

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

0.67 T/m

3.27 T/m

3.94 T/m

1.34 T/m

3.83 T/m

5.16 T/m

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

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

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

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

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

0.0002

-0.0014

-0.0028

-0.0668

0.5904

2 3 43.94 3.94

6 7 85.25 5.16

10 11 12

3.08 3.63

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

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

-0.0002 -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

4.7167 -0.2099 0.0000

0.5095

-0.1050 0.2548

0.0000 0.0000

0.0004 -0.0002

-0.0004 -0.0026

-0.0199 -0.0034

-0.0851 0.2609

ELEMENTOS

COLUMNA

NUDO 1

NUDO 2

NUDO 3

NUDO 4

0.2797 0.4173 0.5827 NUDO 5

-4.3288 4.3288 -1.6516 K5-1

-0.5586 -1.1173 -1.5599 K5-6

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

3.2632 -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

0.0005

0.0246

0.1031

-1.1451

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

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

3 43.27

7 85.16

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

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

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

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

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

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

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

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

-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

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

-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

1 2 3 43.27 3.94 3.94

5 6 7 85.59 5.25 3.83

9 10 11 12

3.05 3.08 3.63

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

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

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

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

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

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 3.05

Σ 1352.6068 1.0000

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

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

0.0002

-0.0017

-0.0053

-0.0951

0.4494

2 3 43.94 3.27

6 7 85.25 5.16

10 11 12

3.08 3.63

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

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

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 0.0001

-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

3.7844 0.0465 0.0000

0.5277

0.0232 0.2638

0.0000 0.0000

0.0002 0.0001

-0.0007 -0.0010

-0.0158 0.0016

0.0395 0.2631

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

2.7947 -2.7947

-3.8584

0.8885

0.0000 -3.7217

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

-0.0003

-0.0011

0.0126

0.0595

-1.1451

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

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

3.05 m 3.08 m

0.50 T/m 0.50 T/m

2.56 T/m 2.56 T/m

3.06 T/m

2.60 m

2.61.00 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

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

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

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

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

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

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

0.50 T/m

2.56 T/m

3.06 T/m

1.00 T/m

3.54 T/m

4.55 T/m

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

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

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 3.05

Σ 1352.6068 1.0000

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

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

2 3 43.06 3.06

6 7 84.20 4.55

10 11 12

3.08 3.63

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

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

2.6654 -0.2945 -2.3709

2.7081

-0.3666 -3.2346

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

-0.0001

0.0000

-0.0019

-0.0246

-0.0748

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

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

0.0001 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

0.5451 -5.3985 3.3352 -1.8766

0.2726 -0.9383

0.0000 0.0000

0.0001 -0.0003

0.0001 -0.0010

-0.0010 0.0155

0.0034 0.0560

0.2699 -1.0084

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

0.8929

0.4464

0.0000

-0.0007

0.0007

-0.0335

0.4799

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

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

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

-1.3638 0.0000 0.0000

1 21 2

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

0.0001

0.0005

0.0004

-0.0098

-0.0839

109 109

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

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

0.2363 -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

1211 1211

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

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

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

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

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

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

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

-1.5211 0.0000 0.0000

1 21 2

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

-0.0001

-0.0021

-0.0214

0.0186

109 109

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

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

0.5587 -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

1211 1211

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

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

3.05 m 3.08 m

0.50 T/m 0.50 T/m

2.58 T/m 2.58 T/m

3.08 T/m

2.60 m

2.61.01 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

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

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

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

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

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

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

0.50 T/m

2.58 T/m

3.08 T/m

1.01 T/m

3.12 T/m

4.13 T/m

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

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

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 3.05

Σ 1352.6068 1.0000

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

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

0.0001

-0.0015

-0.0030

-0.0603

0.4266

2 3 43.08 3.08

6 7 84.19 4.13

10 11 12

3.08 3.63

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

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

2.6643 -0.2630 -2.4012

2.7585

-0.2224 -3.1681

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

0.0004

-0.0001

-0.0136

-0.0288

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 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 -0.0001 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

0.3994 -4.9617 3.0490 -1.6337

0.1997 -0.8169

0.0000 0.0000

0.0000 0.0001

-0.0002 0.0004

-0.0020 0.0191

-0.0029 0.0786

0.2048 -0.9151

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

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

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

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

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

0.0002

0.0008

0.0023

0.0013

-0.0379

109 109

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

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

1211 1211

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

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

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

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

0.0001

-0.0017

-0.0049

-0.0817

0.3200

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

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

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

-1.4953 0.0000 0.0000

1 21 2

2.6880 -0.1491 -2.5389

0.0442 -2.9239

1.2491 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 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

0.0003

-0.0003

-0.0104

0.0653

109 109

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

3 43 4

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

0.0001 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

0.4130 -4.9926 2.9661 -1.7208

0.2065 -0.8604

0.0000 0.0000

0.0000 -0.0002

0.0000 -0.0008

-0.0008 0.0100

0.0009 0.0457

0.2064 -0.9151

1211 1211

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

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

3.05 m 3.08 m

0.70 T/m 0.70 T/m

3.42 T/m 3.42 T/m

4.12 T/m

2.60 m

2.61.40 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

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

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

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

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

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

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

0.70 T/m

3.42 T/m

4.12 T/m

1.40 T/m

4.40 T/m

5.81 T/m

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

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

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 3.05

Σ 1352.6068 1.0000

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

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

2 3 44.12 4.12

6 7 85.42 5.81

10 11 12

3.08 3.63

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

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

3.5862 -0.3921 -3.1941

3.6634

-0.4568 -4.1721

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

-0.0001

0.0002

-0.0018

-0.0289

-0.0900

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 3.4700 -3.4700

1.0743 -4.7376

4.9611 1.2652

0.0000 0.0000 -4.2868

0.0000 0.0000 0.0000

0.0001 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

0.6731 -6.8993 4.2868 -2.3590

0.3365 -1.1795

0.0000 0.0000

0.0000 -0.0002

0.0001 -0.0007

-0.0018 0.0226

0.0019 0.0868

0.3364 -1.2879

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

1.1276

0.5638

0.0000

-0.0001

-0.0012

0.0000

-0.0478

0.6130

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

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

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

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

0.0001

0.0008

0.0015

-0.0081

-0.1027

109 109

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

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

1211 1211

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

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

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

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

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

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

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

-2.0223 0.0000 0.0000

1 21 2

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

-0.0001

0.0000

-0.0021

-0.0245

0.0409

109 109

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

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

0.6921 -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

1211 1211

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

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

3.05 m 3.08 m

0.38 T/m 0.38 T/m

2.41 T/m 2.41 T/m

2.79 T/m

2.60 m

2.60.76 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

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

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

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

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

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

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

0.38 T/m

2.41 T/m

2.79 T/m

0.76 T/m

3.02 T/m

3.77 T/m

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

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

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 3.05

Σ 1352.6068 1.0000

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

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

0.0001

-0.0012

-0.0023

-0.0520

0.3988

2 3 42.79 2.79

6 7 83.77 3.77

10 11 12

3.08 3.63

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

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

2.4199 -0.2479 -2.1719

2.4996

-0.2374 -2.8795

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

0.0003

-0.0003

-0.0140

-0.0384

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 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 0.0001

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

0.3804 -4.5276 2.7895 -1.5021

0.1902 -0.7510

0.0000 0.0000

-0.0001 0.0002

-0.0017 0.0169

-0.0018 0.0690

0.1938 -0.8372

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

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

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

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

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

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

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

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

-0.0002

-0.0005

-0.0037

-0.0313

-0.1065

109 109

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

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

1211 1211

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

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

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

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

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

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

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

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

109 109

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

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

1211 1211

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

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

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

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

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

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

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

-1.2573 0.0000 0.0000

1 21 2

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

0.0001

0.0006

0.0014

-0.0028

-0.0452

109 109

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

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

1211 1211

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

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

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

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

0.0001

-0.0014

-0.0037

-0.0681

0.3187

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

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

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

-1.3762 0.0000 0.0000

1 21 2

2.4377 -0.1624 -2.2753

-0.0372 -2.6961

1.2198 0.0000

0.0000 0.0000

0.0000 0.0000 0.0000

0.0001 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

0.0002

-0.0005

-0.0117

0.0323

109 109

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

3 43 4

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

0.0001 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

0.3907 -4.5507 2.7273 -1.5674

0.1954 -0.7837

0.0000 0.0000

0.0000 -0.0002

0.0001 -0.0007

-0.0008 0.0101

0.0010 0.0443

0.1951 -0.8372

1211 1211

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

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

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

PORTICO 2-2

COMBINACION 1

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

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

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

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

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

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

PORTICO 3-3

COMBINACION 1

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

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

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

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

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

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

PORTICO 4-4

COMBINACION 1

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

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

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

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

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

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

PORTICO 5-5

COMBINACION 1

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

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

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

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

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

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

PORTICO 6-6

COMBINACION 1

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

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

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

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

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

ENVOLVENTEPORTICO 6 - 6

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

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

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

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

0.0195

0.2696

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

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

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

0.0074 -0.017740181

-0.1005 -0.0605

13 14 15

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

-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

0.0001 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

-0.0002 0.0001

-0.0007 -0.0016

0.0056 -0.0098

0.0781 0.1268

15 16 17

ELEMENTOS

COLUMNA

NUDO 1

NUDO 2

NUDO 3

NUDO 4

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

-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

0.1733 -0.6113

NUDO 8

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

-0.0002

0.0028

-0.0238-0.3230

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

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

0.0298

0.2267131313

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

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

-0.0151 0.016455231

-0.1489 0.0492

14 1514 1514 15

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

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

-0.0001 0.0002

-0.0005 0.0008

-0.0023 0.0025

10 1110 1110 11

-0.0072 0.0191

-0.0635 0.1859

16 1716 1716 17

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

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

-0.0360-0.2807

181818

CROSS- PORTICO C - C

1 2 3 40.29 0.29 0.29 0.29

7 8 9 101.28 0.29 1.28 1.03

13 14 15 16

4.6 3.65 2.65 3.8

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

-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

0.0389 -0.0178

0.2696 -0.182213 1413 1413 14

5 60.29

11 121.11

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

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

0.0002 -0.0001

0.0012 -0.0004

0.0071 -0.0017

0.003387652 -0.0017

0.0544 0.0005

15 1615 1615 16

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

0.4565 0.1766 -0.6331

1.8183 0.3071

0.0000 -0.7710

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

0.0041 -0.02040.1173 -0.2807

17 1817 1817 18

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

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

0.0195

0.2696131313

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

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

0.0074 -0.017740181

-0.1005 -0.0605

14 1514 1514 15

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

-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

-0.0001 -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

-0.0002 0.0001

-0.0007 -0.0016

910 11

0.0056 -0.0098

0.0781 0.1268

16 1716 1716 17

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

-0.6113

-0.8615

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

-0.0002

0.0028

11 1211 1211 12

-0.0238-0.3230

181818

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)

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 = 5.010 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

Mmax (+) 0.985 Tn-m Mmax (+) 0.992 Tn-m

b = 25.00 cm b = 25.00 cm

)2/.(. adfy

.'.85.0

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 = 0.672 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 = 3.601 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

.'.85.0

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

DISEÑO - PORTICOS PRINCIPALES DISEÑO - PORTICOS PRINCIPALES

P TRAMO

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

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)

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

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2 2.580 cm²

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

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

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

Mmax (+) 3.632 Tn-m

b = 25.00 cm

)2/.(. adfy

.'.85.0

d = 39.10 cm

Ф = 0.9

Asumir: a = 0.10.d a =3.91 cm

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

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

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

.'.85.0

REPETIR Asumir: a = 0.10.d a =3.91 cm

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

I. VIGAS - PORTICO PRINCIPAL 2-2M° NEG. (Tn-m)

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

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

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"

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

ρ min = 0.0024

As min = 2.361 cm²

Pb = (0.723.f'c/fy)*(6300/(6300+fy))

Pb = 0.0217

Pmax = 0.75.Pb

As max = 15.899 cm²

FORMULAS A. ACEROS POSITIVOS

0 = colocar As min1°

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 = 1.857 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

Mmax (+) 1.989 Tn-m Mmax (+) 3.227 Tn-m

b = 25.00 cm b = 25.00 cm

)2/.(. adfy

.'.85.0

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 = 1.368 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

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 = 1.910 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

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

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

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

.'.85.0

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

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

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

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

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

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

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

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

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

2 Φ 1/2 2.580 cm²

(0.723.f'c/fy)*(6300/(6300+fy))

0.0163

2 Φ 1+ 2 Φ 3/4 15.900 cm²

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

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

Mmax (+) 1.530 Tn-m

b = 25.00 cm

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

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

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

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

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

Mmax (-) 3.335 Tn-m

b = 25.00 cm

d = 39.10 cm

Ф = 0.9

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

a =3.91 cm Asumir: a = 0.10.d a =3.91 cm

As = 2.322 cm²

3 Φ 1/2 3.870 cm² Usar 2 Φ 1/2 2.580 cm²

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

As = 1.861 cm²

2 Φ 3/8 1.420 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

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

As = 1.806 cm²

2 Φ 1/2 2.580 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

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

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

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

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

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

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2 2.580 cm²

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

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

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

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

Mmax (+) 2.896 Tn-m Mmax (+) 1.565 Tn-m

b = 25.00 cm b = 25.00 cm

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

d = 39.10 cm d = 39.10 cm

Ф = 0.9 Ф = 0.9

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

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

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

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

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

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

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

.'.85.0

)2/.(. adfy

.'.85.0

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

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

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

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

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

I. VIGAS - PORTICO PRINCIPAL 4-4 I. VIGAS - PORTICO PRINCIPAL 5-5

M° POS. (Tn-m) P

1°1.705

2°1.227

f'c = 210 Kg/cm² Aceros

fy = 4200 Kg/cm² Ф Asumo:

β = 0.85 Ф Estribos:

r = 4.00 cm

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)

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

ρ min = 0.0024

As min = 2.361 cm² 2 Φ 1/2

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

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

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

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

Mmax (+) 4.119 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

1.05 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

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

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

As = 2.355 cm²

2 Φ 1/2 2.580 cm² Usar 2 Φ 1/2 2.580 cm²

Mmax (-) 6.942 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

As = 4.998 cm²

3 Φ 3/8 2.130 cm² Usar 1 Φ 1/2 + 2 Φ 5/8 5.250 cm²

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

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

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

As = 3.364 cm²

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 3 Φ 1/2 3.870 cm²

TRAMOM° NEG. (Tn-m)

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

PERALTE EFECTIVO DE LA SECCIÓN b =

Diam.(Pulg) Diam. (cm) f'c =

3/4 1.91 fy =

3/8 0.95 β =

39.10 cm

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

16.58 1 Φ 1/2 + 3 Φ 5/8 7.230 23.56

17.53 4 Φ 5/8 7.920 23.89

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

As min =

ρ min =

2.580 cm² As min =

Pmax =

15.900 cm² As max =

0 = colocar As min1°

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 = 1.475 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

Mmax (+) 2.077 Tn-m Mmax (+)

b = 25.00 cm b =

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

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 = 1.430 cm² 1.35 cm OK As =

As = 1.430 cm² As =

Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar

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 = 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

Mmax (-) 4.928 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

As = 3.481 cm² a =3.28 cm OK As =

As = 3.481 cm² As =

Usar 3 Φ 1/2 3.870 cm² Usar

Mmax (-) 4.287 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

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

Mmax (-) 3.619 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

As = 2.526 cm² a =2.38 cm OK As =

As = 2.526 cm² As =

Mmax (-) 3.470 Tn-m Mmax (-)

b = 25.00 cm b =

d = 39.10 cm d =

Ф = 0.9 Ф =

As = 2.419 cm² a =2.28 cm OK As =

As = 2.418 cm² As =

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

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

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

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

ρ min * b * d

0.0024

2.361 cm² 2 Φ 1/2 2.580 cm²

(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

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

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

2.638 Tn-m Mmax (+) 1.398 Tn-m

25.00 cm b = 25.00 cm

)2/.(. adfy

.'.85.0

)2/.(. adfy

.'.85.0

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

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

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

1 Φ 1/2 + 1 Φ 3/8 2.000 cm² Usar 2 Φ 1/2 2.580 cm²

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

.'.85.0

)2/.(. adfy

.'.85.0

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

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

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

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

2 Φ 1/2 2.580 cm² Usar 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

b min (cm)

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

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

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

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

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

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

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

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

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

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

.'.85.0

)2/.(. adfy

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

.'.85.0

)2/.(. adfy

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

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

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

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

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

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

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

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

f'c = 210 Kg/cm² Aceros

fy = 4200 Kg/cm² Ф Asumo:

β = 0.85 Ф Estribos:

r = 4.00 cm

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"

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

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8

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

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

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

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

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

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

As = 0.578 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

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

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

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

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

As = 0.285 cm²

4 Φ 3/8 2.840 cm² Usar 2 Φ 3/8 1.420 cm²

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

As = 0.442 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

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

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

As = 0.570 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

As = 0.276 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

As = 0.561 cm²

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

I. VIGAS - PORTICO PRINCIPAL B - B

TRAMO L WuM° NEG. (Tn-m)

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

PERALTE EFECTIVO DE LA SECCIÓN b =

Diam.(Pulg) Diam. (cm) f'c =

3/4 1.91 fy =

3/8 0.95 β =

29.10 cm

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

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

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

As min =

ρ min =

2.000 cm² As min =

Pmax =

12.180 cm² As max =

Mmax (+) 0.190 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

.'.85.0

)2/.(. adfy

As = 0.173 cm² a =0.16 cm OK As =

As = 0.173 cm² As =

Mmax (+) 0.162 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.148 cm² a =0.14 cm OK As =

As = 0.148 cm² As =

Mmax (+) 0.228 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.208 cm² a =0.20 cm OK As =

As = 0.208 cm² As =

Mmax (+) 0.066 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.060 cm² a =0.06 cm OK As =

As = 0.060 cm² As =

Mmax (+) 0.347 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.317 cm² a =0.30 cm OK As =

As = 0.317 cm²

Mmax (+) 2.066 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

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

Mmax (+) 0.499 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.457 cm² a =0.43 cm OK As =

As = 0.457 cm² As =

Mmax (+) 1.457 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

.'.85.0

)2/.(. adfy

As = 1.355 cm² a =1.28 cm OK As =

As = 1.355 cm² As =

Mmax (+) 0.477 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.437 cm² a =0.41 cm OK As =

As = 0.437 cm² As =

Mmax (+) 0.294 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.268 cm² a =0.25 cm OK As =

As = 0.268 cm² As =

Mmax (+) 0.495 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.453 cm² a =0.43 cm OK As =

As = 0.453 cm² As =

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

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

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

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

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

ρ min * b * d

0.0024

1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

(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

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

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

1.882 cm² a =1.77 cm REPETIR As = 0.220 cm² a =0.21 cm REPETIR

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

.'.85.0

)2/.(. adfy

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

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

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

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

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

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

0.174 cm² a =0.16 cm REPETIR As = 0.337 cm² a =0.32 cm REPETIR

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

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 1/2 2.580 cm²

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

.'.85.0

)2/.(. adfy

2 Φ 1/2 2.580 cm² Usar 2 Φ 3/8 1.420 cm²

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

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

2 Φ 3/8 1.420 cm² Usar 2 Φ 3/8 1.420 cm²

I. VIGAS - PORTICO PRINCIPAL C - C I. VIGAS - PORTICO PRINCIPAL D - D

M° POS. (Tn-m) P TRAMO L

-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

0.219 3.65

0.015 Viga 3 - 4 2.65

0.182 Viga 4 - 5 3.8

0.352 Viga 5 - 6 4.95

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

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

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

ρ min = 0.0024

As min = 1.757 cm² 1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

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

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

Mmax (+) 1.833 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

Viga 1 - 2

Viga 2 - 3

Viga 1 - 2

Viga 2 - 3

.'.85.0

)2/.(. adfy

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

Mmax (+) 0.182 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.166 cm² a =0.16 cm OK As =

As = 0.166 cm² As =

Mmax (+) 1.728 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

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

Mmax (+) 0.176 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.160 cm² a =0.15 cm OK As =

As = 0.160 cm² As =

Mmax (+) 0.165 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.150 cm² a =0.14 cm OK As =

As = 0.150 cm² As =

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

Mmax (+) 0.225 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.206 cm² a =0.19 cm OK As =

As = 0.206 cm² As =

Mmax (+) 0.715 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.657 cm² a =0.62 cm OK As =

As = 0.657 cm² As =

Mmax (+) 2.816 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

.'.85.0

)2/.(. adfy

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

Mmax (+) 0.621 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.570 cm² a =0.54 cm OK As =

As = 0.570 cm² As =

Mmax (+) 0.302 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.276 cm² a =0.26 cm OK As =

As = 0.276 cm² As =

Mmax (+) 0.611 Tn-m Mmax (+)

b = 25.00 cm b =

d = 29.10 cm d =

Ф = 0.9 Ф =

As = 0.561 cm² a =0.53 cm OK As =

As = 0.561 cm² As =

I. VIGAS - PORTICO PRINCIPAL D - D

WuM° NEG. (Tn-m)

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

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

a = 0.10.d a =2.91 cm

0.604 cm² a =0.57 cm REPETIR

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

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

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.066 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.347 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

0.332 cm² a =0.31 cm REPETIR

2 Φ 3/8 1.420 cm²

PRIMER PISO

2.862 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

4 Φ 3/8 2.840 cm²

PRIMER PISO

0.860 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

PRIMER PISO

1.550 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

1 Φ 1/2 + 1 Φ 3/8 2.000 cm²

SEGUNDO PISO

0.477 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.294 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

SEGUNDO PISO

0.495 Tn-m

25.00 cm

29.10 cm

a = 0.10.d a =2.91 cm

2 Φ 3/8 1.420 cm²

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"

.'.85.0

. )2/.(.. adAsfyMr

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

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

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1' dbcfsV ..'1.1'

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 1@0.05, -1@0.1, 17@0.125∎ 3/8 1@0.05, 19@0.125∎

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

dfyAsVS

As = 2.580 cm² As = 3.960 cm² As =

a = 2.428 cm a = 3.727 cm a =

3.05 m 3.08 m

APOYO Mr Vi Vi'

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

TRAMO A-B TRAMO B-C

Vud = 5.012 Tn Vud = 4.460 Tn

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

)( VcVsVud dbcfVc ´53.0

Vc = 7.507 Tn Vc = 7.507 Tn

Vs = -2.494 Tn Vs = -3.047 Tn

12.50 cm 12.50 cm

Z = 1.500 m Z = 1.500 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

1.426 m 1.571 m

2.928 m

dfyAsVS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

-0.050 m

Nº de estribos : 0 estribos 0 @ 0.1

Longitud Estribada 0.00 m

3/8 1@0.05, 0@0.1, 12@0.125∎ 3/8 1@0.05, 13@0.125∎

2.000 cm² Wu = 4.55 T/m 2.130 cm² Wu = 4.20 T/m

3.05 m 3.08 m

As = 2.000 cm² As = 2.130 cm² As =

a = 2.428 cm a = 2.005 cm a =

3.05 m 3.08 m

APOYO Mr Vi Vi'

APOYO B 3.023 Tn-m -6.985 Tn 6.199 Tn

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

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

TRAMO A-B TRAMO B-C

Vud = 4.535 Tn Vud = 4.033 Tn

Vc = 7.507 Tn Vc = 7.507 Tn

Vs = -2.971 Tn Vs = -3.474 Tn

12.50 cm 12.50 cm

Z = 2.000 m Z = 1.500 m

0.75 cm 0.75 cm

10.00 cm 10.00 cm

dfyAsVS

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

2.182 m 1.816 m

4.527 m

-0.300 m

3/8 1@0.05, -3@0.1, 18@0.125∎ 3/8 1@0.05, 15@0.125∎

3.870 cm² Wu = 4.04 T/m 4.000 cm² Wu = 4.19 T/m

3.05 m 3.08 m

dfyAsVS

.'.85.0

. )2/.(.. adAsfyMr

As = 3.870 cm² As = 4.000 cm² As =

a = 2.428 cm a = 3.765 cm a =

3.05 m 3.08 m

APOYO Mr Vi Vi'

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

TRAMO A-B TRAMO B-C

Vud = 4.033 Tn Vud = 4.019 Tn

Vc = 7.507 Tn Vc = 7.507 Tn

Vs = -3.473 Tn Vs = -3.488 Tn

jiiui l

MrMrlwV

12.50 cm 12.50 cm

Z = 2.000 m Z = 1.500 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

2.454 m 1.822 m

5.122 m

-0.550 m

dfyAsVS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

3/8 1@0.05, -5@0.1, 20@0.125∎ 3/8 1@0.05, 15@0.125∎

3.270 cm² Wu = 5.81 T/m 3.960 cm² Wu = 5.42 T/m

3.05 m 3.08 m

As = 3.270 cm² As = 3.960 cm² As =

a = 2.428 cm a = 3.727 cm a =

3.05 m 3.08 m

APOYO Mr Vi Vi'

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

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

3.05 m 3.08 m

8.548 Tn 8.077 Tn 10.269 Tn

TRAMO A-B TRAMO B-C

Vud = 5.552 Tn Vud = 5.279 Tn

Vc = 7.507 Tn Vc = 7.507 Tn

Vs = -1.955 Tn Vs = -2.228 Tn

12.50 cm 12.50 cm

Z = 1.500 m Z = 1.500 m

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

dfyAsVS

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

dbcfsV ..'1.2'

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

1.317 m 1.394 m

SEGUIMOS COLOCANDO ESTRIBOS TODA LA VIGA ESTA ESTRIBADA

2.717 m

0.075 m

Nº de estribos : 1 estribos 1 @ 0.1

3/8 1@0.05, 1@0.1, 11@0.125∎ 3/8 1@0.05, 12@0.125∎

5.850 cm² Wu = 3.78 T/m 5.940 cm² Wu = 3.77 T/m

3.05 m 3.08 m

As = 5.850 cm² As = 5.940 cm² As =

a = 2.428 cm a = 5.591 cm a =

.'.85.0

. )2/.(.. adAsfyMr

3.05 m 3.08 m

APOYO Mr Vi Vi'

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

TRAMO A-B TRAMO B-C

Vud = 3.794 Tn Vud = 3.588 Tn

Vc = 7.507 Tn Vc = 7.507 Tn

Vs = -3.713 Tn Vs = -3.918 Tn

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.2'

12.50 cm 12.50 cm

Z = 2.000 m Z = 1.500 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs = 23.316 Tn

2.614 m 2.034 m

5.495 m

-0.675 m

3/8 1@0.05, -6@0.1, 21@0.125∎ 3/8 1@0.05, 17@0.125∎

dfyAsVS

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

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

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

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"

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

TRAMO C-D TRAMO A-B

Vud = 6.242 Tn Vud =

Vc = 7.507 Tn Vc =

Vs = -1.264 Tn Vs =

V's = 29.743 Tn mayor que: -1.264 Tn V's = 29.743 Tn

Espaciamiento debe ser: d/2 19.55 cm Espaciamiento debe ser:

12.50 cm

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

Z = 2.500 m Z = 2.000 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

Cubre Tranquilam 8.168 Tn Cubre Tranquilam

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

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

3/8 1@0.05, 1@0.1, 19@0.125∎ 3/8 1@0.05, -1@0.1, 17@0.125∎

5.940 cm² Wu = 5.16 T/m 3.270 cm² 2.000 cm²

3.63 m 4.25 m

5.940 cm² As = 3.270 cm² As = 2.000 cm²

5.591 cm a = 3.078 cm a = 1.882 cm

3.63 m 3.05 m

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

TRAMO C-D TRAMO A-B

dbcfVc ´53.0 VnVud

Vc = 7.507 Tn Vc =

Vs = 0.244 Tn Vs =

V's = 29.743 Tn mayor que: 0.244 Tn V's = 29.743 Tn

V's = 15.580 Tn mayor que: 0.244 Tn V's = 15.580 Tn

12.50 cm

Z = 2.500 m Z = 2.500 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

1.802 m 3.154 m

3.722 m 6.546 m

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

0.575 m -0.800 m

3/8 1@0.05, 6@0.1, 15@0.125∎ 3/8 1@0.05, -8@0.1, 26@0.125∎

2.710 cm² Wu = 4.55 T/m 2.840 cm² 3.270 cm²

3.63 m 4.25 m

2.710 cm² As = 2.840 cm² As = 3.270 cm²

2.551 cm a = 2.673 cm a = 1.882 cm

3.63 m 3.05 m

APOYO Mr

APOYO A 4.682 Tn-m

APOYO B 5.670 Tn-m

APOYO C 6.529 Tn-m

APOYO D 8.377 Tn-m

-8.303 Tn

3.63 m

4.346 Tn

TRAMO C-D TRAMO A-B

Vc = 7.507 Tn Vc =

Vs = -1.651 Tn Vs =

12.50 cm

Z = 2.000 m Z = 2.000 m

0.75 cm 0.75 cm

10.00 cm 10.00 cm

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

S 12.50 cm S 12.50 cm

15.00 cm 15.00 cm

17.50 cm As min = 17.50 cm

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

1.831 m 3.455 m

3.811 m 7.231 m

0.075 m -1.550 m

3/8 1@0.05, 1@0.1, 15@0.125∎ 3/8 1@0.05, -15@0.1, 28@0.125∎

4.580 cm² Wu = 4.13 T/m 5.160 cm² 4.140 cm²

3.63 m 4.25 m

4.580 cm² As = 5.160 cm² As = 4.140 cm²

4.311 cm a = 4.856 cm a = 1.882 cm

3.63 m 3.05 m

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

TRAMO C-D TRAMO A-B

Vc = 7.507 Tn Vc =

Vs = -2.374 Tn Vs =

dbcfVc ´53.0 VnVud

12.50 cm

Z = 2.000 m Z = 2.000 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

2.068 m 3.669 m

4.297 m 7.647 m

-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

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

3/8 1@0.05, -1@0.1, 17@0.125∎ 3/8 1@0.05, -18@0.1, 30@0.125∎

4.560 cm² Wu = 5.81 T/m 5.250 cm² 3.270 cm²

3.63 m 4.25 m

4.560 cm² As = 5.250 cm² As = 3.270 cm²

4.292 cm a = 4.941 cm a = 1.882 cm

3.63 m 3.05 m

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

3.63 m

5.962 Tn

TRAMO C-D TRAMO A-B

Vc = 7.507 Tn Vc =

Vs = -0.233 Tn Vs =

12.50 cm

Z = 2.000 m Z = 2.500 m

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

dbcfVc ´53.0

dbcfsV ..'1.2'

dbcfsV ..'1.1'

dbcfsV ..'1.2'

dbcfsV ..'1.1'

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

1.462 m 3.148 m

3.041 m 6.527 m

0.450 m -0.800 m

3/8 1@0.05, 5@0.1, 12@0.125∎ 3/8 1@0.05, -8@0.1, 26@0.125∎

6.540 cm² Wu = 3.77 T/m 7.920 cm² 4.560 cm²

3.63 m 4.25 m

6.540 cm² As = 7.920 cm² As = 4.560 cm²

6.155 cm a = 7.454 cm a = 1.882 cm

3.63 m 3.05 m

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

TRAMO C-D TRAMO A-B

Vc = 7.507 Tn Vc =

Vs = -3.143 Tn Vs =

dbcfVc ´53.0

dbcfsV ..'1.2'

12.50 cm

Z = 2.000 m Z = 2.000 m

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

@ 10.0 cm @ 10.0 cm

Vs = 23.316 Tn Vs =

2.379 m 3.814 m

4.889 m 7.972 m

-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

3/8 1@0.05, -5@0.1, 20@0.125∎ 3/8 1@0.05, -19@0.1, 31@0.125∎

VIGAS PRINCIPALES: SEGUNDO PISO

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

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

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"

.'.85.0

. )2/.(.. adAsfyMr

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

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

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

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

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

@ 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

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA SEGUIMOS COLOCANDO ESTRIBOS

@ 0.100 m TRAMO DE ESTRIBOS A

4.940 m

0.075 m

-1 @ 0.1 Nº de estribos : 1 estribos

6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS 6. DISTRIBUCION DE ESTRIBOS

3/8 1@0.05, -1@0.1, 17@0.125∎ 3/8 1@0.05, 19@0.125∎ 3/8 1@0.05, 1@0.1, 19@0.125∎

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"

dfyAsVS

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

Mr B = 3.050 Tn-m Mr C = 3.694 Tn-m

3.05 m 3.08 m 3.63 m

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

3.917 Tn Vud = 3.828 Tn Vud =

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

7.507 Tn Vc = 7.507 Tn Vc =

-3.590 Tn Vs = -3.679 Tn Vs =

12.50 cm 12.50 cm

Z = 1.500 m Z = 2.500 m

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

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

1.921 m 2.642 m

TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA TODA LA VIGA ESTA ESTRIBADA

5.456 m

dfyAsVS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

-0.300 m

-8 @ 0.1 Nº de estribos : -3 estribos

3/8 1@0.05, -8@0.1, 26@0.125∎ 3/8 1@0.05, 16@0.125∎ 3/8 1@0.05, -3@0.1, 22@0.125∎

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

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

Mr B = 5.670 Tn-m Mr C = 6.529 Tn-m

3.05 m 3.08 m 3.63 m

Vi Vi'

4.346 Tn

-4.994 Tn 4.437 Tn

APOYO "B" APOYO "C"

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

-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

2.766 Tn Vud = 2.857 Tn Vud =

7.507 Tn Vc = 7.507 Tn Vc =

-4.741 Tn Vs = -4.650 Tn Vs =

12.50 cm 12.50 cm

Z = 1.500 m Z = 2.000 m

0.75 cm 0.75 cm

10.00 cm 10.00 cm

dfyAsVS

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

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

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

2.538 m 2.974 m

6.236 m

-1.050 m

3/8 1@0.05, -15@0.1, 28@0.125∎ 3/8 1@0.05, 21@0.125∎ 3/8 1@0.05, -10@0.1, 24@0.125∎

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

APOYO "B" APOYO "C"

dfyAsVS

.'.85.0

. )2/.(.. adAsfyMr

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

Mr B = 7.775 Tn-m Mr C = 12.243 Tn-m

3.05 m 3.08 m 3.63 m

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

2.502 Tn Vud = 1.704 Tn Vud =

7.507 Tn Vc = 7.507 Tn Vc =

-5.004 Tn Vs = -5.803 Tn Vs =

jiiui l

MrMrlwV

12.50 cm 12.50 cm

Z = 1.000 m Z = 2.500 m

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

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

2.280 m 3.024 m

6.268 m

-0.675 m

dfyAsVS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

3/8 1@0.05, -18@0.1, 30@0.125∎ 3/8 1@0.05, 19@0.125∎ 3/8 1@0.05, -6@0.1, 25@0.125∎

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

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

Mr B = 5.670 Tn-m Mr C = 7.517 Tn-m

3.05 m 3.08 m 3.63 m

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"

.'.85.0

. )2/.(.. adAsfyMr

jiiui l

MrMrlwV

3.05 m 3.08 m 3.63 m

5.748 Tn 6.700 Tn

3.835 Tn Vud = 3.621 Tn Vud =

7.507 Tn Vc = 7.507 Tn Vc =

-3.672 Tn Vs = -3.886 Tn Vs =

12.50 cm 12.50 cm

Z = 1.500 m Z = 2.000 m

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

dfyAsVS

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

dbcfsV ..'1.1'

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

1.959 m 2.241 m

4.710 m

-0.300 m

3/8 1@0.05, -8@0.1, 26@0.125∎ 3/8 1@0.05, 16@0.125∎ 3/8 1@0.05, -3@0.1, 18@0.125∎

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

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"

.'.85.0

. )2/.(.. adAsfyMr

Mr B = 7.517 Tn-m Mr C = 3.694 Tn-m

3.05 m 3.08 m 3.63 m

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

2.495 Tn Vud = 4.102 Tn Vud =

7.507 Tn Vc = 7.507 Tn Vc =

-5.012 Tn Vs = -3.405 Tn Vs =

jiiui l

MrMrlwV

)( VcVsVud

dbcfsV ..'1.2'

dbcfVc ´53.0

12.50 cm 12.50 cm

Z = 1.500 m Z = 2.500 m

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

@ 10.0 cm @ 10.0 cm

23.316 Tn Vs = 23.316 Tn Vs =

2.031 m 3.778 m

7.859 m

-1.425 m

3/8 1@0.05, -19@0.1, 31@0.125∎ 3/8 1@0.05, 17@0.125∎ 3/8 1@0.05, -14@0.1, 31@0.125∎

dfyAsVS

dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1' dbcfsV ..'1.1'

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"

-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

d/2 19.55 cm

12.50 cm

4. DETERMINACION DEL ESPACIAMIENTO DE LOS ESTRIBOS

dbcfsV ..'1.2'

dbcfsV ..'1.1'

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

1 @ 0.1

6. DISTRIBUCION DE ESTRIBOS

3/8 1@0.05, 1@0.1, 19@0.125∎

Wu = 3.94 T/m 2.710 cm²

4.25 m

APOYO "D"

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

5.070 Tn

7.507 Tn

-2.437 Tn

d/2 19.55 cm

12.50 cm

As min =

23.316 Tn

7.104 Tn

@ 0.125 m

22 @ 0.125

TODA LA VIGA ESTA ESTRIBADA

@ 0.100 m

dbcfsV ..'1.2'

dbcfsV ..'1.1'

-3 @ 0.1

3/8 1@0.05, -3@0.1, 22@0.125∎

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"

-6.067 Tn

TRAMO C-D

3.469 Tn

7.507 Tn

-4.038 Tn

d/2 19.55 cm

12.50 cm

dbcfsV ..'1.2'

dbcfsV ..'1.1'

As min =

23.316 Tn

5.049 Tn

@ 0.125 m

24 @ 0.125

@ 0.100 m

-10 @ 0.1

3/8 1@0.05, -10@0.1, 24@0.125∎

Wu = 3.08 T/m 6.990 cm²

4.25 m

APOYO "D"

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

4.617 Tn

7.507 Tn

-2.890 Tn

d/2 19.55 cm

12.50 cm

As min =

23.316 Tn

6.206 Tn

@ 0.125 m

25 @ 0.125

@ 0.100 m

-6 @ 0.1

dbcfsV ..'1.2'

dbcfsV ..'1.1'

3/8 1@0.05, -6@0.1, 25@0.125∎

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"

TRAMO C-D

4.573 Tn

7.507 Tn

-2.933 Tn

d/2 19.55 cm

12.50 cm

As min =

dbcfsV ..'1.2'

dbcfsV ..'1.1'

23.316 Tn

6.700 Tn

@ 0.125 m

18 @ 0.125

@ 0.100 m

-3 @ 0.1

3/8 1@0.05, -3@0.1, 18@0.125∎

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"

Mr D = 4.067 Tn-m

3.63 m

-5.173 Tn

TRAMO C-D

3.526 Tn

7.507 Tn

-3.980 Tn

dbcfsV ..'1.2'

d/2 19.55 cm

12.50 cm

As min =

23.316 Tn

4.968 Tn

@ 0.125 m

31 @ 0.125

@ 0.100 m

-14 @ 0.1

3/8 1@0.05, -14@0.1, 31@0.125∎

dbcfsV ..'1.1'

TABLAS - PREDIMENSIONADO TABLAS - DISEÑO

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

TABLAS - DISEÑO

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

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

ACEROS COMERCIALESArea

cortante deVIGAS 01.xlsx

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