Losa Maciza en Dos Direcciones Mmm

PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUELOSA MACIZA EN UNA DIRECCION

1. GEOMETRIA DE LOSASpara este punto se tomara una faja de calculo de 1 [m] generalizada para toda la losaprimero mostramos el plano en general con las fajas correspondientes

PREDIMENSIONAMIENTO

TABLA RESUMENBASE b [cm] 100

RECUBRIMIENTO MECANICO r [cm] 2

LONGITUD DESFAVORABLE 520

ALTURA h [cm] 16.90

LOSA 18.00

ALTURA UTIL d [cm] 16.00

2. CARGAS

para determinar las cargas nos basaremos en el modelo a continuacion

LDES [m]

h = 1.30*LDES/40 h = 1.30* LDES/40hADOP [cm]

REVESTIMIENTO (PARQUET)CONTRAPISO DE NIVELACIÓN

LOSA MACIZA

REVOQUE (YESO)

0.010.04

0.15

0.02

1 [m]

LOSA 16 LOSA 17 LOSA 18 LOSA 19

LOSA 20 LOSA 21 LOSA 22 LOSA 23 LOSA 24 LOSA 25


3.80

4.15

4.00

3.90

3.40

4.00

4.20 3.40 3.25 4.00 4.45 5.20

A

6

B C D E F G

5

4

3

2

1

0

LOSA 1


LOSA 2 LOSA 3


E38

JOSUE: determinar la distancia mas desfavorable del plano

CARGAS PERMANENTES

GK

1 1

0.3 0.3

22 0.88

12 2.4

25 3.75

8.33

CARGAS VARIABLESpara este punto se toma en cuenta que todas las losas seran dispuestas para Departamentos

QK 2 2

2.0

3. MATERIALES

HORMIGÓN H - 25ACERO B - 400 - S

25

400

25000

400000

1.5

1.15

MODULO DE ELASTICIDAD E [MPA] 200000

γ TABIQUERIA [KN/m2] GK TABIQUERIA [KN/m]

γ REVESTIMIENTO [KN/m2] GK REVESTIMIENTO [KN/m]

γ CONTRAPISO [KN/m3] GK CONTRAPISO [KN/m]

γ REVOQUE [KN/m3] GK REVOQUE [KN/m]

γ LOSA LLENA [KN/m3] GK LOSA LLENA [KN/m]

GK TOTAL [KN/m]

γ DEPTOS [KN/m2] QK DEPTOS [KN/m]

QK TOTAL [KN/m]

RESISTENCIA CARACTERISTICA DEL H° fCK [MPA]

RESISTENCIA CARACTERISTICA DEL A° fYK [MPA]

RESISTENCIA CARACTERISTICA DEL H° fCK [KN/m2]

RESISTENCIA CARACTERISTICA DEL A° fYK [KN/m2]

COEFICIENTE DE MINORACION DE H° γC

COEFICIENTE DE MINORACION DE A° γS

h [cm] 0.17

0.18

TABLA RESUMENPARA TODAS LAS LOSAS

8.33

2.00

10.33

12.50

3.2015.70

hADOP [cm]

GK TOTAL [KN/m]

QK TOTAL [KN/m]

PK TOTAL [KN/m]

GD TOTAL [KN/m]

QD TOTAL [KN/m]PD TOTAL [KN/m]

MAYORANDO LAS CARGAS

CARGAS EFECTO DESFAVORABLE

PERMANENTES 1.50

VARIABLES 1.60

12.495

3.2

10.3

15.7

3.2

15.7

TABLA RESUMEN

PARA TODAS LAS LOSAS

16666.67

347826.09

1.74

1.67

34.78

gfg

gfq

GD TOTAL [KN/m]

QD TOTAL [KN/m]

PK TOTAL [KN/m]

PD TOTAL [KN/m]

QD TOTAL [KN/m]

PD TOTAL [KN/m]

fCD [KN/m2]

fYD [KN/m2]

εY [[0/00]]

fCD [KN/cm2]

fYD [KN/cm2]

ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 37.00 35.40 34.10 33.20 32.30 31.80 31.50 31.30 31.20 31.20 31.30 31.40 31.40my 37.00 39.20 41.50 43.90 46.50 49.60 53.20 57.20 61.40 65.80 70.40 75.20 80.30

mex 16.00 15.30 14.80 14.50 14.20 14.10 14.00 14.10 14.10 14.20 14.40 14.60 14.80mey 16.00 16.80 17.60 18.40 19.20 20.00 20.80 21.60 22.40 23.20 24.00 24.80 25.60

Δ 0.35 0.36 0.37 0.38 0.39 0.40 0.42 0.44 0.45 0.47 0.49 0.51 0.52

ξxe 1.02 1.04 1.05 1.06 1.07 1.07 1.08 1.08 1.08 1.08 1.09 1.09 1.09ξxr 0.55 0.55 0.56 0.56 0.57 0.57 0.57 0.57 0.57 0.57 0.57 0.57 0.57ξye 1.02 1.06 1.09 1.12 1.14 1.16 1.18 1.2 1.21 1.21 1.22 1.22 1.23ξyr 0.55 0.57 0.59 0.61 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.69 0.7

ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 44.20 43.30 42.70 42.40 42.30 42.40 42.60 43.00 43.50 44.00 44.60 45.20 45.90my 50.50 54.60 59.30 64.50 70.30 76.50 83.30 90.80 98.60 107.0 117.0 126.0 137.0

mex 18.00 17.80 17.70 17.80 17.90 18.10 18.30 18.60 19.00 19.40 19.80 20.20 20.60mey 24.00 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40

0.61 0.65 0.70 0.75 0.81 0.87 0.93 0.99 1.04 1.09 1.14 1.19 1.24

0.84 0.90 0.96 1.02 1.09 1.16 1.22 1.29 1.36 1.43 1.49 1.55 1.60

ξxe 0.91 0.93 0.95 0.96 0.96 0.96 0.95 0.95 0.94 0.92 0.91 0.9 0.9ξxr 0.49 0.49 0.49 0.49 0.49 0.49 0.48 0.48 0.48 0.48 0.48 0.48 0.48ξye 0.95 0.97 0.99 1.01 1.03 1.03 1.04 1.04 1.04 1.04 1.03 1.03 1.03

ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 50.50 47.10 44.30 42.00 40.20 38.70 37.50 36.70 36.00 35.50 35.10 34.80 34.60my 44.20 45.40 46.90 48.60 50.70 53.00 55.70 58.50 61.60 64.90 68.50 72.50 76.60

mex 24.00 22.20 20.80 19.70 18.80 18.10 17.60 17.30 17.10 16.90 16.80 16.70 16.70mey 18.00 18.40 18.90 19.60 20.40 21.30 22.40 23.70 25.10 26.10 27.00 27.90 28.80

0.84 0.80 0.76 0.74 0.72 0.71 0.70 0.70 0.69 0.69 0.69 0.68 0.68

0.61 0.58 0.55 0.53 0.51 0.50 0.49 0.48 0.47 0.47 0.46 0.46 0.46

ξxe 0.95 0.98 1 1.02 1.04 1.05 1.06 1.07 1.08 1.08 1.08 1.08 1.08ξye 0.91 0.95 0.99 1.03 1.06 1.09 1.11 1.13 1.15 1.16 1.17 1.18 1.19ξyr 0.49 0.51 0.53 0.55 0.57 0.59 0.61 0.63 0.64 0.65 0.66 0.67 0.68

ε 1.00 1.05 1.10 1.15 1.2 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 55.70 53.30 51.50 50.10 49.10 48.40 48.00 47.70 47.70 47.80 48.00 48.40 48.80my 55.70 58.80 62.30 66.20 70.70 75.60 81.00 87.20 93.50 100.4 108.2 116.4 125.0

mex 24.00 23.00 22.20 21.70 21.40 21.20 21.10 21.00 21.20 21.40 21.60 21.80 22.10mey 24.00 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40

Δ 1.03 1.04 1.05 1.07 1.10 1.13 1.17 1.21 1.24 1.28 1.31 1.35 1.39

ξx 0.89 0.91 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.95 0.94 0.94ξy 0.9 0.93 0.95 0.97 0.99 1.01 1.02 1.03 1.04 1.04 1.04 1.04 1.04

ΔX

ΔY

ΔX

ΔY

TABLA 4

TABLA 5a

TABLA 5b

TABLA 6

Ly

Lx

Mey

Mey

Mex Mex

Mx

My

Mex MexLy

Lx

Mx

My

Mey

Mey

Ly

Lx

Mx

My

Mey

Mey

Mex Mex

Ly

Lx

Mx

My

Mey

Mey

Mex Mex

Ly

Lx

Mx

My

Mey

Mey

Mex Mex

TABLA RESUMEN

BASE b [cm] 100 3.2

RECUBRIMIENTO MECANICO r [cm] 2 15.7


ALTURA h [cm] 14.86

LOSA 18.00


CALCULO DE CORTANTES PARA LOSASCOEFICIENTES DE LAS TABLAS

LOSA ε K [KN] TABLA ξxe ξxr

1 4 3.8 1.05 1.05 238.564 4 1.04 0.552 4.45 3.8 1.17 1.15 265.402 5b 1.023 5.2 3.8 1.37 1.35 310.133 4 1.08 0.574 4.2 4.15 1.01 1.00 273.564 4 1.02 0.555 4.15 3.4 1.22 1.20 221.456 5a 0.96 0.496 4.15 3.25 1.28 1.30 211.686 5a 0.95 0.48

7 4.15 4 1.04 1.05 260.537 6 0.91

8 4.45 4.15 1.07 1.05 289.847 6 0.919 5.2 4.15 1.25 1.25 338.698 5a 0.96 0.49

10 4.2 4 1.05 1.05 263.676 5a 0.93 0.4911 4 3.4 1.18 1.20 213.452 6 0.9412 4 3.25 1.23 1.25 204.035 5a 0.96 0.4913 4 4 1.00 1.00 251.120 5a 0.91 0.49

14 4.45 4 1.11 1.10 279.371 6 0.93

15 5.2 4 1.30 1.30 326.456 5a 0.95 0.4816 4.2 3.9 1.08 1.10 257.084 5a 0.95 0.4917 3.9 3.4 1.15 1.15 208.116 5b 1.0218 4.45 3.9 1.14 1.15 272.387 5a 0.96 0.4919 5.2 3.9 1.33 1.35 318.295 5a 0.95 0.4820 4.2 3.4 1.24 1.25 224.125 5a 0.96 0.49

21 3.4 3.4 1.00 1.00 181.434 6 0.89

22 3.4 3.25 1.05 1.05 173.430 5a 0.93 0.4923 4 3.4 1.18 1.20 213.452 5b 1.0424 4.45 3.4 1.31 1.30 237.465 6 0.9525 5.2 3.4 1.53 1.55 277.488 5a 0.9 0.4826 4.2 4 1.05 1.05 263.676 4 1.04 0.5527 4 3.4 1.18 1.20 213.452 5a 0.96 0.49

28 4 3.25 1.23 1.25 204.035 5a 0.96 0.49

29 4 4 1.00 1.00 251.120 5a 0.91 0.4930 4.45 4 1.11 1.10 279.371 5b 131 5.2 4 1.30 1.30 326.456 4 1.08 0.57

QD TOTAL [KN/m]

PD TOTAL [KN/m]

LDES [m]

h = LDES/35hADOP [cm]

LY [m] LX [m] εADOPTADO

E5


DISPOSICION DE CORTANTESCOEFICIENTES DE LAS TABLAS CORTANTES EMPOTRADOS CORTANTES APOYADOS

ξye ξyr Vxe [KN] Vye [KN] Vxr [KN] Vyr [KN] LOSA

1.06 0.57 31.013 31.610 16.401 16.998 11.03 0.55 30.417 30.715 16.401 21.2 0.66 32.206 35.785 16.998 19.682 3

1.02 0.55 33.218 33.218 17.912 17.912 41.03 25.614 27.482 13.074 5 4 17.9121.04 24.229 26.525 12.242 6

0.93 28.565 29.193 7

17.9

12

0.93 29.636 30.287 81.03 31.264 33.544 15.958 90.97 29.193 30.448 15.381 100.99 25.081 26.415 11 33.2181.03 24.484 26.270 12.497 12 10 30.4480.95 28.565 29.821 15.381 13

0.95 29.193 29.821 14

15.3

81

1.04 29.821 32.646 15.067 150.99 29.075 30.299 14.997 161.03 0.55 27.215 27.482 14.675 171.01 29.381 30.911 14.997 18 30.4481.04 29.075 31.829 14.691 19 16 30.2991.03 25.614 27.482 13.074 20

0.9 23.747 24.013 21

14.9

970.97 23.719 24.739 12.497 221.06 0.57 27.749 28.282 15.208 231.02 25.347 27.215 241.03 24.013 27.482 12.807 25 30.2991.06 0.57 32.646 33.273 17.265 17.892 26 20 27.4821.03 25.614 27.482 13.074 27

1.03 24.484 26.270 12.497 28

13.0

74

0.95 28.565 29.821 15.381 290.99 0.53 31.390 31.076 16.637 301.18 0.65 33.901 37.040 17.892 20.404 31

27.48226 33.273

17.2

65

17.892

DISPOSICION DE CORTANTES 1 16.998 2 16.401 3 19.682

16.4

01

31.0

13

30.4

17

30.4

17

32.2

06

31.610 30.715 35.7855 13.074 6 12.242 7 28.565 8 30.287 9 33.544

33.2

18

27.4

82

27.4

82

26.5

25

26.5

25

29.1

93

29.1

93

29.6

36

29.6

36

31.2

64

25.614 24.229 28.565 30.287 33.54411 25.081 12 24.484 13 28.565 14 29.821 15 32.646

29.1

93

26.4

15

26.4

15

26.2

70

26.2

70

29.8

21

29.8

21

29.1

93

29.1

93

29.8

21

25.081 12.497 15.381 29.821 32.64617 27.215 18 30.911 19 31.829

29.0

75

27.4

82

14.6

75

14.9

97

29.3

81

29.0

7527.215 30.911 31.829

21 24.013 22 12.497 23 15.208 24 27.215 25 27.482

25.6

14

23.7

47

23.7

47

24.7

39

24.7

39

27.7

49

27.7

49

25.3

47

25.3

47

24.0

13

24.013 23.719 28.282 27.215 27.48227 25.614 28 24.484 29 28.565 30 31.076 31 37.040

32.6

46

27.4

82

27.4

82

26.2

70

26.2

70

29.8

21

29.8

21

31.3

90

31.3

90

33.9

01

13.074 12.497 15.381 16.637 20.404

16.9

9815

.958

15.0

6714

.691

12.8

0717

.892

TABLA RESUMEN

BASE b [cm] 100 3.2

RECUBRIMIENTO MECANICO r [cm] 2 15.7


ALTURA h [cm] 14.86

LOSA 18.00


CALCULO DE MOMENTOS PARA LOSAS

COEFICIENTES DE LAS TABLAS

LOSA ε K [KN] TABLA mx my

1 4 3.8 1.05 1.05 238.564 4 35.4 39.2

2 4.45 3.8 1.17 1.15 265.402 5b 42 48.6

3 5.2 3.8 1.37 1.35 310.133 4 31.3 57.2

4 4.2 4.15 1.01 1.00 273.564 4 37 37

5 4.15 3.4 1.22 1.20 221.456 5a 42.3 70.3

6 4.15 3.25 1.28 1.30 211.686 5a 42.6 83.3

7 4.15 4 1.04 1.05 260.537 6 53.3 58.8

8 4.45 4.15 1.07 1.05 289.847 6 53.3 58.8

9 5.2 4.15 1.25 1.25 338.698 5a 42.4 76.5

10 4.2 4 1.05 1.05 263.676 5a 43.3 54.6

11 4 3.4 1.18 1.20 213.452 6 49.1 70.7

12 4 3.25 1.23 1.25 204.035 5a 42.4 76.5

13 4 4 1.00 1.00 251.120 5a 44.2 50.5

14 4.45 4 1.11 1.10 279.371 6 51.5 62.3

15 5.2 4 1.30 1.30 326.456 5a 42.6 83.3

16 4.2 3.9 1.08 1.10 257.084 5a 42.7 59.3

17 3.9 3.4 1.15 1.15 208.116 5b 42 48.6

18 4.45 3.9 1.14 1.15 272.387 5a 42.4 64.5

19 5.2 3.9 1.33 1.35 318.295 5a 43 90.8

20 4.2 3.4 1.24 1.25 224.125 5a 42.4 76.5

21 3.4 3.4 1.00 1.00 181.434 6 55.7 55.7

22 3.4 3.25 1.05 1.05 173.430 5a 43.3 54.6

23 4 3.4 1.18 1.20 213.452 5b 40.2 50.7

24 4.45 3.4 1.31 1.30 237.465 6 48 81

25 5.2 3.4 1.53 1.55 277.488 5a 45.2 126

26 4.2 4 1.05 1.05 263.676 4 35.4 39.2

27 4 3.4 1.18 1.20 213.452 5a 42.3 70.3

28 4 3.25 1.23 1.25 204.035 5a 42.4 76.5

29 4 4 1.00 1.00 251.120 5a 44.2 50.5

30 4.45 4 1.11 1.10 279.371 5b 44.3 46.9

31 5.2 4 1.30 1.30 326.456 4 31.5 53.2

QD TOTAL [KN/m]

PD TOTAL [KN/m]

LDES [m]

h = LDES/35hADOP [cm]

LY [m] LX [m] εADOPTADO

E5


PARA LOSA 1

15.7

3.8

4

3.2

ε 1.053

K [KN] 238.564

PARA LOSA 2

15.7 COEFICIENTES DE LAS TABLAS

3.8 mx

4.45 my

mex

3.2 mey

ε 1.171

K [KN] 265.40245

PARA LOSA 3


3.8 mx

5.2 my

mex

3.2 mey

ε 1.368 Δ

K [KN] 310.1332

PARA LOSA 4


4.15 mx

4.2 my

mex

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

ΔX

ΔY

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

PD [KN/m2]

LX [m]

LY [m]

3.2 mey

ε 1.012 Δ

K [KN] 273.56385 κ

PARA LOSA 5


3.4 mx

4.15 my

mex

3.2 mey

ε 1.221

K [KN] 221.45645

PARA LOSA 6


3.25 mx

4.15 my

mex

3.2 mey

ε 1.277

K [KN] 211.6863125

PARA LOSA 7


4 mx

4.15 my

mex

3.2 mey

ε 1.038 Δ

K [KN] 260.537

PARA LOSA 8


4.15 mx

4.45 my

mex

3.2 mey

ε 1.072 Δ

K [KN] 289.8474125

QD [KN/m2]

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

ΔX

ΔY

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

ΔX

ΔY

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

PD [KN/m2]

LX [m]

LY [m]

QD [KN/m2]

COEFICIENTES DE LAS TABLAS MOMENTOS INICIALES MOMENTOS EN LOS APOYOS MOMENTOS MAXIMOS EN TRAMOS

mex mey Δ

15.3 16.8 0.36 6.739 6.086 -15.592 -14.200 6.986

19.7 19.6 0.74 0.53 6.319 5.461 -13.472 -13.541 6.796

14.1 21.6 0.44 9.908 5.422 -21.995 -14.358 10.353

16 16 0.35 7.394 7.394 -17.098 -17.098 7.657

17.9 28.8 0.81 1.09 5.235 3.150 -12.372 -7.689 5.668

18.3 31.2 0.93 1.22 4.969 2.541 -11.568 -6.785 5.440

23 25.2 1.04 4.888 4.431 -11.328 -10.339 5.406

23 25.2 1.04 5.438 4.929 -12.602 -11.502 6.015

18.1 30 0.87 1.16 7.988 4.427 -18.713 -11.290 8.697

17.8 25.2 0.65 0.9 6.090 4.829 -14.813 -10.463 6.493

21.4 28.8 1.1 4.347 3.019 -9.974 -7.412 4.835

18.1 30 0.87 1.16 4.812 2.667 -11.273 -6.801 5.239

18 24 0.61 0.84 5.681 4.973 -13.951 -10.463 6.035

22.2 26.4 1.05 5.425 4.484 -12.584 -10.582 6.005

18.3 31.2 0.93 1.22 7.663 3.919 -17.839 -10.463 8.390

17.7 26.4 0.7 0.96 6.021 4.335 -14.525 -9.738 6.450

19.7 19.6 0.74 0.53 4.955 4.282 -10.564 -10.618 5.329

17.8 27.6 0.75 1.02 6.424 4.223 -15.303 -9.869 6.915

18.6 32.4 0.99 1.29 7.402 3.505 -17.113 -9.824 8.149

18.1 30 0.87 1.16 5.286 2.930 -12.383 -7.471 5.755

24 24 1.03 3.257 3.257 -7.560 -7.560 3.599

17.8 25.2 0.65 0.9 4.005 3.176 -9.743 -6.882 4.271

18.8 20.4 0.72 0.51 5.310 4.210 -11.354 -10.463 5.699

21.1 31.2 1.17 4.947 2.932 -11.254 -7.611 5.537

20.2 37.2 1.19 1.55 6.139 2.202 -13.737 -7.459 6.884

15.3 16.8 0.36 7.448 6.726 -17.234 -15.695 7.722

17.9 28.8 0.81 1.09 5.046 3.036 -11.925 -7.412 5.463

18.1 30 0.87 1.16 4.812 2.667 -11.273 -6.801 5.239

18 24 0.61 0.84 5.681 4.973 -13.951 -10.463 6.035

20.8 18.9 0.76 0.55 6.306 5.957 -13.431 -14.782 6.795

14 20.8 0.42 10.364 6.136 -23.318 -15.695 10.807

ΔX ΔY MX [KN-m/m] MY [KN-m/m] Mex [KN-m/m] Mey [KN-m/m] MX MAX [KN-m/m]

COEFICIENTES DE LAS TABLASMOMENTOS INICIALES

42

48.6

19.7

19.6

0.74

0.53


31.3

70.4

14.4

24

0.49


37

37

16

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

16

0.35

1.15


42.3

70.3

17.9

28.8

0.81

1.09


43

90.8

18.6

32.4

0.99

1.29


53.3

58.8

23

25.2

1.04

1

1.1


51.5

62.3

22.2

26.4

1.05

1

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MX [KN-m/m]

MY [KN-m/m]

Mex [KN-m/m]

Mey [KN-m/m]

MX MAX [KN-m/m]

MY MAX [KN-m/m]

MOMENTOS MAXIMOS EN TRAMOS MOMENTOS CALCULADOS

6.309 1

5.756 2

5.665 3

7.657 4

3.500 5 4 5

2.857 6

4.901 7

7.66

-17.

10

-12.

37 3.50

5.452 8

4.951 9 7.66

5.272 10

3.358 11 -17.10 -7.69

2.983 12 10 -14.81 11 -7.41

5.398 13

4.964 146.

49

-10.

46

-9.9

7 3.36

4.406 15

4.760 16 5.27

4.514 17

4.662 18 -14.81 -7.41

3.966 19 16 -14.52 17 -10.62

3.276 20

3.599 21

6.45

-9.7

4

-10.

56 4.51

3.468 22

4.429 23 4.76

3.281 24

2.550 25 -14.52 -10.62

6.973 26 20 -12.38 21 -7.56

3.374 27

2.983 28

5.75

-7.4

7

-7.5

6 3.60

5.398 29

6.291 30 3.28

6.399 31

MY MAX [KN-m/m]

-12.38 -7.56

26 -17.23 27 -7.41

7.72

-15.

69

-11.

92 3.37

6.97

1 2 3

MOMENTOS CALCULADOS

6.99

-14.

20

-13.

54 6.80

-13.

54

-14.

36 10.3

5

6.31 5.76 5.67

-15.59 -13.47 -22.00

6 7 -10.34 8 -12.60 9 -18.71

-12.

37

-11.

57 2.86

-11.

57

-11.

33 4.90

-11.

33

-11.

50 6.01

-11.

50

-11.

29 8.70

5.67 5.44 5.41 5.45 4.95

-7.69 -6.78 -10.34 -12.60 -18.71

-7.41 12 -6.80 13 -10.46 14 -12.58 15 -17.84

-9.9

7

-11.

27 2.98

-11.

27

-13.

95 5.40

-13.

95

-10.

58 6.01

-10.

58

-10.

46 8.39

4.83 5.24 6.03 4.96 4.41

-7.41 -12.58 -17.84

-10.62 18 -15.30 19 -17.11

6.92

-9.8

7

-9.8

2 8.15

5.33 4.66 3.97

-10.62 -15.30 -17.11

-7.56 22 23 24 -11.25 25 -13.74

-7.5

6

-9.7

4 3.47

-9.7

4

-10.

46 5.70

-10.

46

-7.6

1 5.54

-7.6

1

-7.4

6 6.88

3.60 4.27 4.43 3.28 2.55

-7.56 -6.88 -11.35 -11.25 -13.74

-7.41 28 -6.80 29 -10.46 30 -13.43 31 -23.32

-11.

92

-11.

27 2.98

-11.

27

-13.

95 5.40

-13.

95

-14.

78 6.79

-14.

78

-15.

70 10.8

1

5.46 5.24 6.03 6.29 6.40

2. COMPATIBILIZACION DE MOMENTOS EN APOYOS

Para la aplicacion de la siguiente metodologia simplificada deberan cumplirse las siguientes condiciones:

1) Las cargas de as placas deberan ser similares

2) La geometria de las placas deberan ser similares

3) Los espesores (alturas) de las placas no deberan variar entre si en mas de un 10%

CASO a) si Ma=Mb

Mapoyo = Ma = Mb

CASO b) si

Mapoyo = (Ma+Mb)/2

CASO c) si 0.85 Ma> Mb

Mapoyo = 0.8Ma

0.85 Ma< Mb

LOSAS1 OBSERVACION

2 14.20 12.07 13.54 CASO b) 13.87

LOSAS2 OBSERVACION

3 14.36 12.20 13.54 CASO b) 13.95

LOSAS4 OBSERVACION

5 17.10 14.53 12.37 CASO c) 14.53

LOSAS5 OBSERVACION

6 12.37 10.52 11.57 CASO b) 11.97

LOSAS6 OBSERVACION

7 11.57 9.83 11.33 CASO b) 11.45

LOSAS7 OBSERVACION

8 11.50 9.78 11.33 CASO b) 11.41

LOSAS8 OBSERVACION

9 11.50 9.78 11.29 CASO b) 11.40

LOSAS10 OBSERVACION

11 10.46 8.89 9.97 CASO b) 10.22

LOSAS11 OBSERVACION

12 11.27 9.58 9.97 CASO b) 10.62

LOSAS12 OBSERVACION

13 13.95 11.86 11.27 CASO c) 11.86

LOSAS13 OBSERVACION

14 13.95 11.86 10.58 CASO c) 11.86

LOSAS14 OBSERVACION

15 10.58 8.99 10.46 CASO b) 10.52

MA 0.85*MA MB MAPOYO












LOSAS16 OBSERVACION

17 10.56 8.98 9.74 CASO b) 10.15

LOSAS18 OBSERVACION

19 9.87 8.39 9.82 CASO b) 9.85

LOSAS20 OBSERVACION

21 7.56 6.43 7.47 CASO b) 7.52

LOSAS21 OBSERVACION

22 9.74 8.28 7.56 CASO c) 8.28

LOSAS22 OBSERVACION

23 10.46 8.89 9.74 CASO b) 10.10

LOSAS23 OBSERVACION

24 10.46 8.89 7.61 CASO c) 8.89

LOSAS24 OBSERVACION

25 7.61 6.47 7.46 CASO b) 7.54

LOSAS26 OBSERVACION

27 15.69 13.34 11.92 CASO c) 13.34

LOSAS27 OBSERVACION

28 11.92 10.14 11.27 CASO b) 11.60

LOSAS28 OBSERVACION

29 13.95 11.86 11.27 CASO c) 11.86

LOSAS29 OBSERVACION

30 14.78 12.56 13.95 CASO b) 14.37

LOSAS30 OBSERVACION

31 15.70 13.34 14.78 CASO b) 15.24













LOSAS3 OBSERVACION

9 22.00 18.70 18.71 CASO b) 20.35

LOSAS9 OBSERVACION

15 18.71 15.91 17.84 CASO b) 18.28

LOSAS15 OBSERVACION

19 17.84 15.16 17.11 CASO b) 17.48

LOSAS19 OBSERVACION

25 17.11 14.55 13.74 CASO c) 14.55

LOSAS25 OBSERVACION

31 23.32 19.82 13.74 CASO c) 19.82

LOSAS2 OBSERVACION

8 13.47 11.45 12.60 CASO b) 13.04

LOSAS8 OBSERVACION

14 12.60 10.71 12.58 CASO b) 12.59

LOSAS14 OBSERVACION

18 15.30 13.01 12.58 CASO c) 13.01

LOSAS18 OBSERVACION

24 15.30 13.01 11.25 CASO c) 13.01

LOSAS24 OBSERVACION

30 13.43 11.42 11.25 CASO c) 11.42

LOSAS1 OBSERVACION

7 15.59 13.25 10.34 CASO c) 13.25

LOSAS7 OBSERVACION

13 10.46 8.89 10.34 CASO b) 10.40













LOSAS23 OBSERVACION

29 11.35 9.65 10.46 CASO b) 10.91

LOSAS6 OBSERVACION

12 6.80 5.78 6.78 CASO b) 6.79

LOSAS22 OBSERVACION

28 6.88 5.85 6.80 CASO b) 6.84

LOSAS5 OBSERVACION

11 7.69 6.54 7.41 CASO b) 7.55

LOSAS11 OBSERVACION

17 10.62 9.03 7.41 CASO c) 9.03

LOSAS17 OBSERVACION

21 10.62 9.03 7.56 CASO c) 9.03

LOSAS21 OBSERVACION

27 7.56 6.43 7.41 CASO b) 7.49

LOSAS4 OBSERVACION

10 17.10 14.53 14.81 CASO b) 15.96

LOSAS10 OBSERVACION

16 14.81 12.59 14.52 CASO b) 14.67

LOSAS16 OBSERVACION

20 14.52 12.35 12.38 CASO b) 13.45

LOSAS20 OBSERVACION

26 17.23 14.65 12.38 CASO c) 14.65












MOMENTOS FINALES COMPENSADOS

4 5 6

8.23

14.5

3

14.5

3 3.57

11.9

7

11.9

7 2.85

8.94 6.95 5.70

15.96 7.55 6.79

10 15.96 11 7.55 12 6.79

7.14

10.2

2

10.2

2 2.48

10.6

2

10.6

2 2.99

5.39 4.39 5.86

14.67 9.03

16 14.67 17 9.03

7.06

10.1

5

10.1

5 6.11

4.55 5.54

13.45 9.03

20 13.45 21 9.03 22

4.09

7.52

7.52 4.

37

8.28

8.28 3.

49

3.25 3.98 5.18

14.65 7.49 6.84

26 14.65 27 7.49 28 6.84

9.01

13.3

4

13.3

4 3.34

11.6

0

11.6

0 2.96

8.15 6.33 4.78

1 2 3

8.16

13.8

7

13.8

7 7.01

13.9

5

13.9

5

11.1

7

6.47 5.39 5.87

DE ARRIBA HACIA ABAJO

13.25 13.04 20.35 LOSA PAÑO ΔM1

7 13.25 8 13.04 9 20.35 3 EXTERNO

9 INTERNO 1.641

11.4

5

11.4

5 3.41

11.4

1

11.4

1 6.24

11.4

0

11.4

0 7.66

15 INTERNO 0.437

19 INTERNO 0.363

5.70 5.30 5.55 4.90 25 INTERNO 0.809

31 EXTERNO

10.40 12.59 18.28 2 EXTERNO

13 10.40 14 12.59 15 18.28 8 INTERNO 0.435

14 INTERNO 0.009

11.8

6

11.8

6 5.43

11.8

6

11.8

6 5.79

10.5

2

10.5

2 8.79

18 INTERNO 2.295

24 INTERNO 1.753

5.86 8.13 5.63 4.38 30 EXTERNO

1 EXTERNO

13.01 17.48 7 INTERNO 2.915

18 13.01 19 17.48 13 EXTERNO

23 EXTERNO

9.21

9.85

9.85 9.

61

29 EXTERNO

6 EXTERNO

4.67 3.96 12 EXTERNO

22 EXTERNO

13.01 14.55 28 EXTERNO

23 24 13.01 25 14.55 5 EXTERNO

11 INTERNO 0.139

10.1

0

10.1

0 5.92

8.89

8.89 4.

58

7.54

7.54 3.

44

17 INTERNO 1.593

21 INTERNO 1.466

5.18 5.39 3.96 2.51 27 EXTERNO

4 EXTERNO

10.91 11.42 19.82 10 INTERNO 1.142

29 10.91 30 11.42 31 19.82 16 INTERNO 0.144

20 INTERNO 1.071

11.8

6

11.8

6 5.18

14.3

7

14.3

7 7.80

15.2

4

15.2

4

12.5

6 26 EXTERNO

4.78 7.29 6.73 6.63

DE DERECHA A IZQUIERDA

LOSA PAÑO ΔM1

1 EXTERNO

2 INTERNO 0.330

3 EXTERNO

4 EXTERNO

5 INTERNO 2.161

6 INTERNO 0.402

7 INTERNO 0.120

8 INTERNO 0.087

9 EXTERNO

10 EXTERNO

11 INTERNO 0.244

12 INTERNO 0.649

13 INTERNO 2.093

14 INTERNO 1.276

15 EXTERNO

16 EXTERNO

17 EXTERNO

18 EXTERNO

19 EXTERNO

20 EXTERNO

21 INTERNO 0.044

22 INTERNO 1.461

23 INTERNO 0.360

24 INTERNO 1.283

25 EXTERNO

26 EXTERNO

27 INTERNO 1.416

28 INTERNO 0.326

29 INTERNO 2.093

30 INTERNO 0.415

31 EXTERNO

DE ARRIBA HACIA ABAJO

ΔM2 ΔM

0.821

0.437 1.039

0.363 0.400

2.567 1.465

6.084 3.446

1.749

0.218

0.009 0.222

0.423 0.216

2.295 2.295

0.162 0.958

1.007

1.169

0.062 1.489

0.031

0.223

0.223

0.004

0.004

0.020

0.020

0.069

1.614 0.876

1.593 1.593

0.074 0.770

0.037

0.571

0.144 0.643

1.071 0.608

2.266 1.669

1.293

DE DERECHA A IZQUIERDA

ΔM2 ΔM

0.165

0.409 0.369

0.204

1.282

0.402 1.282

0.120 0.261

0.087 0.104

0.106 0.097

0.053

0.122

0.649 0.447

0.586 0.617

2.093 2.093

0.059 0.668

0.030

0.207

0.207

0.011

0.011

0.022

0.722 0.383

0.360 0.911

1.569 0.965

0.076 0.679

0.038

1.177

0.326 0.871

0.586 0.456

0.415 1.254

0.457 0.436

0.228

MOMENTOS COMPATIBILIZADOS

1 2 3

8.15

6

13.8

71

13.8

71 7.01

3

13.9

49

13.9

49

6.474 5.387

13.254 13.037

4 5 6 7 13.254 8 13.037 9

8.22

9

14.5

33

14.5

33 3.57

0

11.9

70

11.9

70 2.85

3

11.4

48

11.4

48 3.41

2

11.4

15

11.4

15 6.23

7

11.3

96

11.3

96

8.940 6.949 5.701 5.303 5.549

15.955 7.550 6.793 10.401 12.593

10 15.955 11 7.550 12 6.793 13 10.401 14 12.593 15

7.13

6

10.2

19

10.2

19 2.48

1

10.6

24

10.6

24 2.98

7

11.8

58

11.8

58 5.43

0

11.8

58

11.8

58 5.78

9

10.5

23

10.5

23

5.395 4.388 5.856 8.127 5.632

14.669 9.025 13.007

16 14.669 17 9.025 18 13.007 19

7.05

8

10.1

51

10.1

51 6.10

6

9.21

1

9.84

6

9.84

6

4.553 5.535 4.673

13.454 9.025 13.007

20 13.454 21 9.025 22 23 24 13.007 25

4.08

6

7.51

5

7.51

5

4.36

9

8.28

2

8.28

2

3.48

8

10.1

03

10.1

03

5.92

2

8.89

4

8.89

4

4.58

0

7.53

5

7.53

5

3.254 3.983 5.181 5.394 3.961

14.649 7.486 6.842 10.909 11.41726 14.649 27 7.486 28 6.842 29 10.909 30 11.417 31

9.01

4

13.3

41

13.3

41

3.33

7

11.5

99

11.5

99

2.96

2

11.8

58

11.8

58

5.17

6

14.3

66

14.3

66

7.80

2

15.2

38

15.2

38

9.01

4

13.3

41

13.3

41

3.33

7

11.5

99

11.5

99

2.96

2

11.8

58

11.8

58

5.17

6

14.3

66

14.3

66

7.80

2

15.2

38

15.2

38

8.150 6.334 4.783 7.289 6.727

RESUMEN DE CALCULOS PREVIOS

TABLA RESUMEN TABLA RESUMEN TABLA RESUMEN

PARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]

8.33 16666.67RECUBRIMIENTO MECANICO r [cm]

2.00 347826.09LONGITUD DESFAVORABLE

10.33 1.74 ALTURA h [cm]

12.50 1.67 LOSA

3.20 34.78 ALTURA UTIL d [cm]

11.1

74 15.70

5.869

20.354 CALCULO A FLEXION

20.354

7.65

8

MOMENTO [KN-m/m] μ α β z

4.898 MD-DE 6.47 0.0152 0.0191 0.9924 15.8777 1.1723

MD-E 13.87 0.0325 0.0413 0.9835 15.7356 2.5343

18.276 MD-EF 5.39 0.0126 0.0159 0.9936 15.8983 0.9742

18.276 MD-F 13.95 0.0327 0.0416 0.9834 15.7340 2.5489

MD-FG 5.87 0.0138 0.0173 0.9931 15.8892 1.0620

8.79

0

MD-AB 8.940 0.0210 0.0265 0.9894 15.8306 1.6236

4.377 MD-B 14.533 0.0341 0.0433 0.9827 15.7227 2.6575

MD-BC 6.949 0.0163 0.0205 0.9918 15.8686 1.2591

17.476 MD-C 11.970 0.0281 0.0356 0.9858 15.7723 2.1819

17.476 MD-CD 5.701 0.0134 0.0168 0.9933 15.8924 1.0314

MD-D 11.448 0.0268 0.0340 0.9864 15.7824 2.0854

9.61

4 MD-DE 5.303 0.0124 0.0156 0.9937 15.8999 0.9589

MD-E 11.415 0.0268 0.0339 0.9864 15.7830 2.0793

3.955 MD-EF 5.549 0.0130 0.0164 0.9935 15.8953 1.0036

MD-F 11.396 0.0267 0.0338 0.9865 15.7834 2.0758

14.546 MD-FG 4.898 0.0115 0.0144 0.9942 15.9076 0.8852

14.546

MD-AB 5.395 0.0126 0.0159 0.9936 15.8982 0.9755

3.43

8 MD-B 10.219 0.0240 0.0303 0.9879 15.8060 1.8587

MD-BC 4.388 0.0103 0.0129 0.9948 15.9173 0.7926

2.512 MD-C 10.624 0.0249 0.0315 0.9874 15.7983 1.9333MD-CD 5.856 0.0137 0.0173 0.9931 15.8894 1.0596

19.821 MD-D 11.858 0.0278 0.0352 0.9859 15.7745 2.161319.821 MD-DE 8.127 0.0190 0.0240 0.9904 15.8461 1.4746

MD-E 11.858 0.0278 0.0352 0.9859 15.7745 2.1613

12.5

56 MD-EF 5.632 0.0132 0.0166 0.9934 15.8937 1.0188

GK TOTAL [KN/m] fCD [KN/m2]

QK TOTAL [KN/m] fYD [KN/m2] LDES [m]

PK TOTAL [KN/m] εY [[0/00]]h = 1.30*LDES/40

GD TOTAL [KN/m] fCD [KN/cm2] hADOP [cm]

QD TOTAL [KN/m] fYD [KN/cm2]

PD TOTAL [KN/m]

AS1 [cm2/m]

12.5

56MD-F 10.523 0.0247 0.0312 0.9875 15.8002 1.9147

6.627 MD-FG 4.377 0.0103 0.0129 0.9948 15.9175 0.7905

MD-AB 4.553 0.0107 0.0134 0.9946 15.9142 0.8225

MD-B 10.151 0.0238 0.0301 0.9880 15.8073 1.8463

MD-BC 5.535 0.0130 0.0163 0.9935 15.8955 1.0012

MD-EF 4.673 0.0110 0.0138 0.9945 15.9119 0.8444

MD-F 9.846 0.0231 0.0292 0.9883 15.8132 1.7902

MD-FG 3.955 0.0093 0.0116 0.9953 15.9255 0.7140


MD-AB 3.254 0.0076 0.0096 0.9962 15.9388 0.5869MD-B 7.515 0.0176 0.0222 0.9911 15.8578 1.3625

MD-BC 3.983 0.0093 0.0117 0.9953 15.9250 0.7190

MD-C 8.282 0.0194 0.0245 0.9902 15.8432 1.5029

MD-CD 5.181 0.0121 0.0153 0.9939 15.9023 0.9368MD-D 10.103 0.0237 0.0300 0.9880 15.8083 1.8375

MD-DE 5.394 0.0126 0.0159 0.9936 15.8982 0.9754MD-E 8.894 0.0208 0.0263 0.9895 15.8315 1.6151

MD-EF 3.961 0.0093 0.0117 0.9953 15.9254 0.7150

MD-F 7.535 0.0177 0.0223 0.9911 15.8574 1.3662MD-FG 2.512 0.0059 0.0074 0.9970 15.9528 0.4528

MD-AB 8.150 0.0191 0.0241 0.9904 15.8457 1.4788MD-B 13.341 0.0313 0.0397 0.9841 15.7458 2.4359

MD-BC 6.334 0.0148 0.0187 0.9925 15.8803 1.1467

MD-C 11.599 0.0272 0.0345 0.9862 15.7795 2.1133MD-CD 4.783 0.0112 0.0141 0.9944 15.9098 0.8643MD-D 11.858 0.0278 0.0352 0.9859 15.7745 2.1613

MD-DE 7.289 0.0171 0.0215 0.9914 15.8621 1.3211

MD-E 14.366 0.0337 0.0428 0.9829 15.7259 2.6264

MD-EF 6.727 0.0158 0.0199 0.9921 15.8729 1.2184MD-F 15.238 0.0357 0.0455 0.9818 15.7090 2.7889

MD-FG 6.627 0.0155 0.0196 0.9922 15.8748 1.2003

AS1 [cm2/m]

ARMADURAS LONGITUDINALES

TABLA RESUMEN TRAMO 5-6

100

2

520 TRAMO DE

16.90 APOYO E

18.00

16.00

TRAMO DE

APOYO E

CUANTIA CUANTIA TRAMO EF

GEOMETRICA MECANICA APOYO E

APOYO F

`

3.2 3.067 3.20 MD-DE

3.2 3.067 3.20 MD-E TRAMO EF

3.2 3.067 3.20 MD-EF APOYO E

3.2 3.067 3.20 MD-F APOYO F

3.2 3.067 3.20 MD-FG

3.2 3.067 3.20 MD-AB

3.2 3.067 3.20 MD-B TRAMO FG

3.2 3.067 3.20 MD-BC APOYO F

3.2 3.067 3.20 MD-C

3.2 3.067 3.20 MD-CD

3.2 3.067 3.20 MD-D TRAMO FG

3.2 3.067 3.20 MD-DE APOYO F

3.2 3.067 3.20 MD-E

3.2 3.067 3.20 MD-EF TRAMO 4-5

3.2 3.067 3.20 MD-F

3.2 3.067 3.20 MD-FG

TRAMO AB

3.2 3.067 3.20 MD-AB APOYO B

3.2 3.067 3.20 MD-B

3.2 3.067 3.20 MD-BC

3.2 3.067 3.20 MD-C TRAMO AB3.2 3.067 3.20 MD-CD APOYO B3.2 3.067 3.20 MD-D3.2 3.067 3.20 MD-DE3.2 3.067 3.20 MD-E3.2 3.067 3.20 MD-EF TRAMO BC

ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)

ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]

AW7


AW17

JOSUE: Se calcula para evitar la fisuracion por efectos termicos

AX17

JOSUE: Se la calcula para que no tenga rotura fragil sin preaviso

AW18

JOSUE: ρMIN tiene los siguientes valores aproximados: columnas = 4‰ vigas = 3‰ losas = 2‰

3.2 3.067 3.20 MD-F APOYO B

3.2 3.067 3.20 MD-FG APOYO C`

3.2 3.067 3.20 MD-AB

3.2 3.067 3.20 MD-B TRAMO BC

3.2 3.067 3.20 MD-BC APOYO B

APOYO C

3.2 3.067 3.20 MD-EF

3.2 3.067 3.20 MD-F

3.2 3.067 3.20 MD-FG

TRAMO CD

APOYO C

APOYO D

CUANTIA CUANTIA `

GEOMETRICA MECANICA

TRAMO CD

APOYO C

3.2 3.067 3.20 MD-AB APOYO D3.2 3.067 3.20 MD-B3.2 3.067 3.20 MD-BC

3.2 3.067 3.20 MD-C

3.2 3.067 3.20 MD-CD TRAMO DE3.2 3.067 3.20 MD-D APOYO D3.2 3.067 3.20 MD-DE APOYO E3.2 3.067 3.20 MD-E `

3.2 3.067 3.20 MD-EF

3.2 3.067 3.20 MD-F TRAMO DE3.2 3.067 3.20 MD-FG APOYO D

APOYO E3.2 3.067 3.20 MD-AB3.2 3.067 3.20 MD-B

3.2 3.067 3.20 MD-BC

3.2 3.067 3.20 MD-C TRAMO EF3.2 3.067 3.20 MD-CD APOYO E3.2 3.067 3.20 MD-D APOYO F3.2 3.067 3.20 MD-DE `

3.2 3.067 3.20 MD-E

3.2 3.067 3.20 MD-EF TRAMO EF3.2 3.067 3.20 MD-F APOYO E3.2 3.067 3.20 MD-FG APOYO F

TRAMO FG

APOYO F

TRAMO FG

APOYO F



AW61


AX61


AW62


TRAMO 3-4

TRAMO AB

APOYO B

TRAMO AB

APOYO B

TRAMO BC

APOYO B

APOYO C

`

TRAMO BC

APOYO B

APOYO C

TRAMO CD

APOYO C

APOYO D

`

TRAMO CD

APOYO C

APOYO D

TRAMO DE

APOYO D

APOYO E

`

TRAMO DE

APOYO D

APOYO E

TRAMO EF

APOYO E

APOYO F

`

TRAMO EF

APOYO E

APOYO F

TRAMO FG

APOYO F

TRAMO FG

APOYO F

TRAMO 2-3

TRAMO AB

APOYO B

TRAMO AB

APOYO B

TRAMO BC

APOYO B

TRAMO BC

APOYO B

TRAMO EF

APOYO F

TRAMO EF

APOYO F

TRAMO FG

APOYO F

TRAMO FG

APOYO F

TRAMO 1-2

TRAMO AB

APOYO B

TRAMO AB

APOYO B

TRAMO BC

APOYO B

APOYO C

`

TRAMO BC

APOYO B

APOYO C

TRAMO CD

APOYO C

APOYO D

`

TRAMO CD

APOYO C

APOYO D

TRAMO DE

APOYO D

APOYO E

`

TRAMO DE

APOYO D

APOYO E

TRAMO EF

APOYO E

APOYO F

`

TRAMO EF

APOYO E

APOYO F

TRAMO FG

APOYO F

TRAMO FG

APOYO F

TRAMO 0-1

TRAMO AB

APOYO B

TRAMO AB

APOYO B

TRAMO BC

APOYO B

APOYO C

`

TRAMO BC

APOYO B

APOYO C

TRAMO CD

APOYO C

APOYO D

`

TRAMO CD

APOYO C

APOYO D

TRAMO DE

APOYO D

APOYO E

`

TRAMO DE

APOYO D

APOYO E

TRAMO EF

APOYO E

APOYO F

`

TRAMO EF

APOYO E

APOYO F

TRAMO FG

APOYO F

TRAMO FG

APOYO F


N° PIEZAS/m ESPACIAMIENTO [cm]

φ CALCULADO ADOPTADO CALCULADO ADOPTADO

3.20 8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30

3.20 8 0.503 3.00 15.00

OBSERVACION OBSERVACION

6.47 3.52 19.43 -12.96 CUMPLE -0.32 CUMPLE

13.871 1.51 8.25 5.62 ARMADURA EXTRA 1.69 ARMADURA EXTRA



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.39 3.52 19.46 -14.07 CUMPLE -0.32 CUMPLE

5.617 1.51 8.25 -2.64 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


5.87 3.52 19.45 -13.58 CUMPLE -0.32 CUMPLE

5.697 1.51 8.25 -2.56 CUMPLE 0.18 CUMPLE



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00


8.94 3.52 19.37 -10.43 CUMPLE -0.32 CUMPLE14.533 1.51 8.25 6.29 ARMADURA EXTRA 1.69 ARMADURA EXTRA

N° PIEZAS/m ESPACIAMIENTO [cm]φ CALCULADO ADOPTADO CALCULADO ADOPTADO

3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]

MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]








BE6

JOSUE: PUEDE VARIAR ENTRE: 6,8,10,12

BE7

JOSUE: SOLO COLOCAR ESTE DIAMETRO PARA EL DISEÑO

BE10


BE15


BE16


BE20


BE26


BE27


BE30


BE36


BE37


BE40


BE45


BE46


1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


6.95 3.52 19.42 -12.47 CUMPLE -0.32 CUMPLE

6.286 1.51 8.25 -1.96 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.70 3.52 19.45 -13.75 CUMPLE -0.32 CUMPLE

3.697 1.51 8.27 -4.58 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 301.69 8 0.503 3.00 15.003.20 8 0.503 3.00 15.00


5.30 3.52 19.46 -14.16 CUMPLE -0.32 CUMPLE3.170 1.51 8.28 -5.11 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 301.69 8 0.503 3.00 15.003.20 8 0.503 3.00 15.00


5.55 3.52 19.45 -13.90 CUMPLE -0.32 CUMPLE3.136 1.51 8.28 -5.14 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


4.90 3.52 19.47 -14.57 CUMPLE -0.32 CUMPLE

3.117 1.51 8.28 -5.16 CUMPLE 0.18 CUMPLE










BE50


BE56


BE57


BE61


BE67


BE68


BE72


BE78


BE79


BE83


BE89


BE90


BE93




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00


5.39 3.52 19.46 -14.06 CUMPLE -0.32 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


4.39 3.52 19.48 -15.09 CUMPLE -0.32 CUMPLE

1.928 1.51 8.29 -6.36 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.86 3.52 19.45 -13.59 CUMPLE -0.32 CUMPLE

2.337 1.51 8.29 -5.95 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


8.13 3.52 19.39 -11.27 CUMPLE -0.32 CUMPLE

3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE










BE99


BE100


BE103


BE108


BE109


BE113


BE119


BE120


BE124


BE130


BE131


BE135




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.63 3.52 19.45 -13.82 CUMPLE -0.32 CUMPLE

3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


4.38 3.52 19.48 -15.10 CUMPLE -0.32 CUMPLE

2.235 1.51 8.29 -6.05 CUMPLE 0.18 CUMPLE



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00


4.55 3.52 19.48 -14.92 CUMPLE -0.32 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


5.54 3.52 19.45 -13.92 CUMPLE -0.32 CUMPLE

1.860 1.51 8.29 -6.43 CUMPLE 0.18 CUMPLE



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00










BE141


BE142


BE146


BE152


BE153


BE156


BE162


BE163


BE166


BE171


BE172


BE175


BE180


BE181



4.67 3.52 19.47 -14.80 CUMPLE -0.32 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


3.96 3.52 19.49 -15.54 CUMPLE -0.32 CUMPLE

1.552 1.51 8.29 -6.74 CUMPLE 0.18 CUMPLE



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00


3.25 3.52 19.51 -16.25 CUMPLE -0.32 CUMPLE

7.515 1.51 8.32 -0.80 CUMPLE 1.69 ARMADURA EXTRA



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


3.98 3.52 19.49 -15.51 CUMPLE -0.32 CUMPLE

-0.802 1.51 8.32 -9.12 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.18 3.52 19.46 -14.28 CUMPLE -0.32 CUMPLE

-0.028 1.51 8.31 -8.34 CUMPLE 0.18 CUMPLE










BE184


BE189


BE190


BE193


BE199


BE200


BE203


BE208


BE209


BE213


BE219


BE220


BE224





3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


5.39 3.52 19.46 -14.06 CUMPLE -0.32 CUMPLE

1.812 1.51 8.29 -6.48 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


3.96 3.52 19.49 -15.53 CUMPLE -0.32 CUMPLE

0.590 1.51 8.30 -7.71 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


2.51 3.52 19.52 -17.01 CUMPLE -0.32 CUMPLE

-0.782 1.51 8.32 -9.10 CUMPLE 0.18 CUMPLE



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

3.20 8 0.503 3.00 15.00


8.15 3.52 19.39 -11.24 CUMPLE -0.32 CUMPLE











BE230


BE231


BE235


BE241


BE242


BE246


BE252


BE253


BE256


BE262


BE263


BE266



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


6.33 3.52 19.44 -13.10 CUMPLE -0.32 CUMPLE

5.082 1.51 8.26 -3.18 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


4.78 3.52 19.47 -14.69 CUMPLE -0.32 CUMPLE

3.322 1.51 8.28 -4.95 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


7.29 3.52 19.41 -12.12 CUMPLE -0.32 CUMPLE

3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE




3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00

3.20 8 0.503 3.00 15.00


6.73 3.52 19.43 -12.70 CUMPLE -0.32 CUMPLE

6.118 1.51 8.25 -2.13 CUMPLE 0.18 CUMPLE











BE271


BE272


BE276


BE282


BE283


BE287


BE293


BE294


BE298


BE304


BE305


BE309



3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30

1.69 8 0.503 3.00 15.00


6.63 3.52 19.43 -12.80 CUMPLE -0.32 CUMPLE

6.999 1.51 8.24 -1.24 CUMPLE 0.18 CUMPLE



BE315


BE316


BE319


8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30 8 c / 30 8 c / 30

8 c / 30 8 c / 30 8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

AS1 DOBLADO [cm2/m]

8 c / 30

8 c / 30

AS1 DOBLADO [cm2/m]

MOMENTOS COMPATIBILIZADOS

1 2 3

8.15

6

13.8

71

13.8

71

7.01

3

13.9

49

13.9

49

6.474 5.387

13.254 13.037

4 5 6 7 13.254 8 13.037 9

8.22

9

14.5

33

14.5

33

3.57

0

11.9

70

11.9

70

2.85

3

11.4

48

11.4

48

3.41

2

11.4

15

11.4

15

6.23

7

11.3

96

11.3

96

8.940 6.949 5.701 5.303 5.549

15.955 7.550 6.793 10.401 12.59310 15.955 11 7.550 12 6.793 13 10.401 14 12.593 15

7.13

6

10.2

19

10.2

19

2.48

1

10.6

24

10.6

24

2.98

7

11.8

58

11.8

58

5.43

0

11.8

58

11.8

58

5.78

9

10.5

23

10.5

23

5.395 4.388 5.856 8.127 5.632

14.669 9.025 13.00716 14.669 17 9.025 18 13.007 19

7.05

8

10.1

51

10.1

51

6.10

6

9.21

1

9.84

6

9.84

6

4.553 5.535 4.673

13.454 9.025 13.007

20 13.454 21 9.025 22 23 24 13.007 25

4.08

6

7.51

5

7.51

5

4.36

9

8.28

2

8.28

2

3.48

8

10.1

03

10.1

03

5.92

2

8.89

4

8.89

4

4.58

0

7.53

5

7.53

53.254 3.983 5.181 5.394 3.961

14.649 7.486 6.842 10.909 11.41726 14.649 27 7.486 28 6.842 29 10.909 30 11.417 31

9.01

4

13.3

41

13.3

41

3.33

7

11.5

99

11.5

99

2.96

2

11.8

58

11.8

58

5.17

6

14.3

66

14.3

66

7.80

2

15.2

38

15.2

38

8.150 6.334 4.783 7.289 6.727

RESUMEN DE CALCULOS PREVIOS

TABLA RESUMEN TABLA RESUMEN TABLA RESUMENPARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]

8.33 16666.67 RECUBRIMIENTO MECANICO r [cm]

2.00 347826.09 LONGITUD DESFAVORABLE

10.33 1.74 ALTURA h [cm]

12.50 1.67 LOSA

3.20 34.78 ALTURA UTIL d [cm]

11.1

74 15.70

5.869

20.354 CALCULO A FLEXION

20.354

7.65

8


4.898 MD-65 11.17 0.0262 0.0332 0.9867 15.7877 2.0347

MD-5 20.35 0.0477 0.0611 0.9755 15.6088 3.749018.276 MD-54 7.66 0.0179 0.0226 0.9909 15.8551 1.388618.276 MD-4 18.28 0.0428 0.0547 0.9781 15.6497 3.3575

MD-43 8.79 0.0206 0.0260 0.9896 15.8335 1.5960

8.79

0 MD-3 17.476 0.0410 0.0523 0.9791 15.6653 3.2073

MD-32 9.614 0.0225 0.0285 0.9886 15.8177 1.7475

4.377 MD-2 14.546 0.0341 0.0434 0.9827 15.7225 2.6598MD-21 3.438 0.0081 0.0101 0.9960 15.9353 0.6202

17.476 MD-1 19.821 0.0465 0.0595 0.9762 15.6193 3.648317.476 MD-10 12.556 0.0294 0.0373 0.9851 15.7610 2.2904

9.61

4 MD-65 7.013 0.0164 0.0207 0.9917 15.8674 1.2707

MD-5 13.037 0.0306 0.0388 0.9845 15.7517 2.37953.955 MD-54 6.237 0.0146 0.0184 0.9926 15.8822 1.1289

MD-4 12.593 0.0295 0.0375 0.9850 15.7603 2.297314.546 MD-43 5.789 0.0136 0.0171 0.9932 15.8907 1.0474

14.546 MD-3 13.007 0.0305 0.0387 0.9845 15.7523 2.3740

MD-32 9.211 0.0216 0.0273 0.9891 15.8254 1.6733

3.43

8 MD-2 13.007 0.0305 0.0387 0.9845 15.7523 2.3740MD-21 4.580 0.0107 0.0135 0.9946 15.9137 0.8274

2.512 MD-1 11.417 0.0268 0.0339 0.9864 15.7830 2.0796MD-10 7.802 0.0183 0.0231 0.9908 15.8523 1.4150

19.82119.821 MD-65 8.156 0.0191 0.0241 0.9903 15.8456 1.4798

MD-5 13.254 0.0311 0.0395 0.9842 15.7475 2.4197

12.5

56 MD-54 3.412 0.0080 0.0100 0.9960 15.9358 0.6156

MD-4 10.401 0.0244 0.0309 0.9877 15.8025 1.8923

6.627 MD-43 5.430 0.0127 0.0160 0.9936 15.8975 0.9819

MD-21 5.922 0.0139 0.0175 0.9930 15.8882 1.0716MD-1 10.909 0.0256 0.0324 0.9870 15.7928 1.9859

MD-10 5.176 0.0121 0.0153 0.9939 15.9024 0.9357

MD-54 2.853 0.0067 0.0084 0.9966 15.9463 0.5144MD-4 6.793 0.0159 0.0201 0.9920 15.8716 1.2305

GK TOTAL [KN/m] fCD [KN/m2]

QK TOTAL [KN/m] fYD [KN/m2] LDES [m]

PK TOTAL [KN/m] εY [[0/00]]h = 1.30*LDES/40

GD TOTAL [KN/m] fCD [KN/cm2] hADOP [cm]

QD TOTAL [KN/m] fYD [KN/cm2]

PD TOTAL [KN/m]

AS1 [cm2/m]

MD-43 2.987 0.0070 0.0088 0.9965 15.9438 0.5385

MD-21 3.488 0.0082 0.0103 0.9959 15.9343 0.6293

MD-1 6.842 0.0160 0.0202 0.9919 15.8707 1.2394

MD-10 2.962 0.0069 0.0087 0.9965 15.9443 0.5341

MD-54 3.570 0.0084 0.0105 0.9958 15.9328 0.6441

MD-4 7.550 0.0177 0.0223 0.9911 15.8572 1.3690

MD-43 2.481 0.0058 0.0073 0.9971 15.9533 0.4472MD-3 9.0254 0.0212 0.0267 0.9893 15.8289 1.6393

MD-32 6.1063 0.0143 0.0180 0.9928 15.8847 1.1052MD-2 9.0254 0.0212 0.0267 0.9893 15.8289 1.6393

MD-21 4.3693 0.0102 0.0129 0.9949 15.9177 0.7892MD-1 7.4856 0.0175 0.0221 0.9911 15.8584 1.3571

MD-10 3.3366 0.0078 0.0098 0.9961 15.9372 0.6019

MD-54 8.229 0.0193 0.0243 0.9903 15.8442 1.4931MD-4 15.955 0.0374 0.0477 0.9809 15.6950 2.9227

MD-43 7.136 0.0167 0.0211 0.9916 15.8651 1.2932

MD-3 14.669 0.0344 0.0437 0.9825 15.7201 2.6828MD-32 7.058 0.0165 0.0209 0.9917 15.8665 1.2789MD-2 13.454 0.0315 0.0401 0.9840 15.7436 2.4568

MD-21 4.086 0.0096 0.0120 0.9952 15.9230 0.7378

MD-1 14.649 0.0343 0.0437 0.9825 15.7205 2.6790

MD-10 9.014 0.0211 0.0267 0.9893 15.8292 1.6372


N° PIEZAS/m

φ CALCULADO ADOPTADO

TRAMO DE 3.20 8 0.503 6.37 7.00APOYO D #REF! 8 0.503 3.50

APOYO E 3.75 8 0.503 3.50

OBSERVACION

TRAMO DE 11.17 3.52 19.32 -8.15 CUMPLEAPOYO D #REF! 1.76 #REF! #REF! #REF!

APOYO E 20.35 1.76 9.55 10.80 ARMADURA EXTRA

N° PIEZAS/m


TRAMO EF 3.20 8 0.503 6.37 8.00APOYO E 1.99 8 0.503 4.00APOYO F 3.36 8 0.503 4.00

OBSERVACION

TRAMO EF 7.66 4.02 22.18 -14.52 CUMPLEAPOYO E 10.802 2.01 10.92 -0.11 CUMPLEAPOYO F 18.28 2.01 10.94 7.33 ARMADURA EXTRA

N° PIEZAS/m


TRAMO FG 3.20 12 1.131 2.83 3.00

APOYO F 1.35 12 1.131 2.00

APOYO G 3.21 12 1.131 2.00

OBSERVACION

TRAMO FG 8.79 3.39 18.69 -9.90 CUMPLE

APOYO F 7.331 2.26 12.31 -4.98 CUMPLE

APOYO G 17.48 2.26 12.32 5.15 ARMADURA EXTRA

CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m


APOYO F 0.00 6 0.283 0.00 0.00

AS1 FINAL [cm2/m] Aφ [cm2]

MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2]






AS183


AS184


AS188


AS195


AS196


AS200


AS207


AS208


AS212


AS219


AS220


OBSERVACION

APOYO F -4.98 0.00 0.00 -4.98 CUMPLE

ARMADURAS TRANSVERSALES

N° PIEZAS/m


APOYO D #REF! 6 0.283 #REF! #REF!

N° PIEZAS/m


TRAMO DE 0.00 6 0.283 0.00 0.00

N° PIEZAS/m


APOYO E 0.00 6 0.283 0.00 0.00

N° PIEZAS/m


TRAMO EF 0.00 6 0.283 0.00 0.00

N° PIEZAS/m


APOYO F 0.00 6 0.283 0.00 0.00

N° PIEZAS/m


TRAMO FG 0.00 6 0.283 0.00 0.00

N° PIEZAS/m


APOYO G 0.00 6 0.283 0.00 0.00









AS222


AS229


AS230


AS233


AS234


AS237


AS238


AS241


AS242


AS245


AS246


AS249


AS250


AS253


AS254


ARMADURAS LONGITUDINALESTABLA RESUMEN TRAMO F-G

100

2

520 TRAMO 6-5 3.20

16.90 APOYO 5 3.75

18.00

16.00

TRAMO 6-5 11.17

APOYO 5 20.354

CUANTIA CUANTIA TRAMO 5-4 3.20GEOMETRICA MECANICA APOYO 5 1.39

APOYO 4 3.36

MOMENTO `

3.2 3.067 3.20 MD-65

3.2 3.067 3.75 MD-5 TRAMO 5-4 7.663.2 3.067 3.20 MD-54 APOYO 5 7.5623.2 3.067 3.36 MD-4 APOYO 4 18.2763.2 3.067 3.20 MD-433.2 3.067 3.21 MD-3

3.2 3.067 3.20 MD-32

3.2 3.067 3.20 MD-2 TRAMO 4-3 3.203.2 3.067 3.20 MD-21 APOYO 4 1.853.2 3.067 3.65 MD-1 APOYO 3 3.213.2 3.067 3.20 MD-10 `

3.2 3.067 3.20 MD-65 TRAMO 4-3 8.79

3.2 3.067 3.20 MD-5 APOYO 4 10.0673.2 3.067 3.20 MD-54 APOYO 3 17.4763.2 3.067 3.20 MD-43.2 3.067 3.20 MD-43

3.2 3.067 3.20 MD-3

3.2 3.067 3.20 MD-32 TRAMO 3-2 3.20

3.2 3.067 3.20 MD-2 APOYO 3 0.853.2 3.067 3.20 MD-21 APOYO 2 3.203.2 3.067 3.20 MD-1 `3.2 3.067 3.20 MD-10

TRAMO 3-2 9.613.2 3.067 3.20 MD-65 APOYO 3 4.6373.2 3.067 3.20 MD-5 APOYO 2 14.5463.2 3.067 3.20 MD-54

3.2 3.067 3.20 MD-4

3.2 3.067 3.20 MD-43TRAMO 2-1 3.20

3.2 3.067 3.20 MD-21 APOYO 2 1.693.2 3.067 3.20 MD-1 APOYO 1 3.653.2 3.067 3.20 MD-10 `

3.2 3.067 3.20 MD-54 TRAMO 2-1 3.443.2 3.067 3.20 MD-4 APOYO 2 6.299

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]



MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AW7


AW17


AX17


AW18


3.2 3.067 3.20 MD-43 APOYO 1 19.821

3.2 3.067 3.20 MD-21

3.2 3.067 3.20 MD-1

3.2 3.067 3.20 MD-10 TRAMO 1-0 3.20APOYO 1 1.85

3.2 3.067 3.20 MD-54

3.2 3.067 3.20 MD-4

3.2 3.067 3.20 MD-43 TRAMO 1-0 12.563.2 3.067 3.20 MD-3 APOYO 1 10.0673.2 3.067 3.20 MD-323.2 3.067 3.20 MD-23.2 3.067 3.20 MD-21 TRAMO E-F3.2 3.067 3.20 MD-1

3.2 3.067 3.20 MD-10

TRAMO 6-5 3.203.2 3.067 3.20 MD-54 APOYO 5 3.203.2 3.067 3.20 MD-4

3.2 3.067 3.20 MD-43

3.2 3.067 3.20 MD-3 TRAMO 6-5 7.013.2 3.067 3.20 MD-32 APOYO 5 13.0373.2 3.067 3.20 MD-23.2 3.067 3.20 MD-21

3.2 3.067 3.20 MD-1

3.2 3.067 3.20 MD-10 TRAMO 5-4 3.20APOYO 5 1.69APOYO 4 3.20

`

TRAMO 5-4 6.24APOYO 5 4.775APOYO 4 12.593


`



`


AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]


`


TRAMO 1-0 3.20APOYO 1 1.69

TRAMO 1-0 7.80APOYO 1 4.327

TRAMO D-E

TRAMO 6-5 3.20APOYO 5 3.20

TRAMO 6-5 8.16APOYO 5 13.254


`


TRAMO 4-3 3.20APOYO 4 1.69

TRAMO 4-3 5.43APOYO 4 2.112

TRAMO 2-1 3.20APOYO 1 3.20

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

TRAMO 2-1 5.92APOYO 1 10.909

TRAMO 1-0 3.20APOYO 1 1.69

TRAMO 1-0 5.18APOYO 1 2.625

TRAMO C-D

ESPACIAMIENTO [cm]

CALCULADO ADOPTADO TRAMO 5-4 3.20

14.29 15.00 φ 8 c / 30 φ 8 c / 30 APOYO 4 3.2015.00 φ 8 c / 30

15.00 φ 8 c / 30

TRAMO 5-4 2.85

OBSERVACION APOYO 4 6.793

-0.32 CUMPLE#REF! #REF!

1.99 ARMADURA EXTRA

TRAMO 4-3 3.20

APOYO 4 2.19

ESPACIAMIENTO [cm]

CALCULADO ADOPTADO

12.50 13.00 φ 8 c / 26 φ 8 c / 26 TRAMO 4-3 2.9913.00 φ 8 c / 26 APOYO 4 1.24313.00 φ 8 c / 26

OBSERVACION

-0.82 CUMPLE TRAMO 2-1 3.20-0.02 CUMPLE APOYO 1 3.201.35 ARMADURA EXTRA

TRAMO 2-1 3.49ESPACIAMIENTO [cm] APOYO 1 6.84

CALCULADO ADOPTADO

33.33 34.00 φ 12 c / 68 φ 12 c / 68

34.00 φ 12 c / 68

34.00 φ 12 c / 68 TRAMO 1-0 3.20CALCULO DE ARMA APOYO 1 2.19

OBSERVACION

-0.19 CUMPLE

-0.92 CUMPLE TRAMO 1-0 2.96

0.95 ARMADURA EXTRA n APOYO 1 1.292

ESPACIAMIENTO [cm] TRAMO B-C

CALCULADO ADOPTADO

#DIV/0! #DIV/0! #DIV/0!

TRAMO 5-4 3.20

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m]

MFINAL [KN-m/m]

ΔAφ [cm2]

AS1 FINAL [cm2/m]

AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m] MFINAL [KN-m/m]

ΔAφ [cm2] AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m]

AS1 FINAL [cm2/m]

ΔAφ [cm2] AF [cm2]

AEF [cm2] MFINAL [KN-m/m]

NECESITA ASUPLES AFG [cm2]

AS1 RECTO [cm2/m]

AS1 FINAL [cm2/m]

OBSERVACION APOYO 4 3.20

0.00 CUMPLE

TRAMO 5-4 3.57APOYO 4 7.550

ESPACIAMIENTO [cm]

CALCULADO ADOPTADO

#REF! #REF! #REF! TRAMO 4-3 3.20APOYO 4 2.19

ESPACIAMIENTO [cm] APOYO 3 3.20

CALCULADO ADOPTADO `

#DIV/0! #DIV/0! #DIV/0!

TRAMO 4-3 2.48ESPACIAMIENTO [cm] APOYO 4 2.006

CALCULADO ADOPTADO APOYO 3 9.025

#DIV/0! #DIV/0! #DIV/0!

ESPACIAMIENTO [cm]

CALCULADO ADOPTADO TRAMO 3-2 3.20

#DIV/0! #DIV/0! #DIV/0! APOYO 3 1.69APOYO 2 3.20

ESPACIAMIENTO [cm] `

CALCULADO ADOPTADO

#DIV/0! #DIV/0! #DIV/0! TRAMO 3-2 6.11APOYO 3 0.723

ESPACIAMIENTO [cm] APOYO 2 9.025

CALCULADO ADOPTADO

#DIV/0! #DIV/0! #DIV/0!

ESPACIAMIENTO [cm] TRAMO 2-1 3.20

CALCULADO ADOPTADO APOYO 2 1.69

#DIV/0! #DIV/0! #DIV/0! APOYO 1 3.20`


TRAMO 1-0 3.20APOYO 1 2.19

TRAMO 1-0 3.34APOYO 1 2.006

TRAMO A-B

TRAMO 5-4 3.20APOYO 4 3.20

ΔAφ [cm2]

MFINAL [KN-m/m]

AS1 TRANS [cm2/m] AS1 FINAL [cm2/m]

AS1 TRANS [cm2/m]

MFINAL [KN-m/m]

AS1 TRANS [cm2/m]

AS1 FINAL [cm2/m]

AS1 TRANS [cm2/m]

AS1 TRANS [cm2/m] MFINAL [KN-m/m]

AS1 TRANS [cm2/m]

AS1 FINAL [cm2/m]

AS1 TRANS [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

TRAMO 5-4 8.23APOYO 4 15.955


`



`



`


TRAMO 1-0 3.20APOYO 1 1.69

TRAMO 1-0 9.01APOYO 1 7.723

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]

AS1 FINAL [cm2/m]

MFINAL [KN-m/m]



10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 40

10 0.785 3.00 20.00 φ 10 c / 40


3.93 21.56 -10.39 CUMPLE -0.73 CUMPLE

2.36 12.79 7.56 ARMADURA EXTRA 1.39 ARMADURA EXTRA



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30

8 0.503 3.00 15.00 φ 8 c / 30


3.52 19.40 -11.75 CUMPLE -0.32 CUMPLE1.51 8.19 -0.63 CUMPLE -0.12 CUMPLE1.51 8.21 10.07 ARMADURA EXTRA 1.85 ARMADURA EXTRA



10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40


3.93 21.63 -12.84 CUMPLE -0.73 CUMPLE

2.36 12.83 -2.76 CUMPLE -0.51 CUMPLE2.36 12.84 4.64 ARMADURA EXTRA 0.85 ARMADURA EXTRA



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30

8 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30

OBSERVACION OBSERVACION3.52 19.36 -9.74 CUMPLE -0.32 CUMPLE1.51 8.22 -3.58 CUMPLE -0.66 CUMPLE1.51 8.25 6.30 ARMADURA EXTRA 1.69 ARMADURA EXTRA


φ CALCULADO ADOPTADO CALCULADO ADOPTADO8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30


3.52 19.50 -16.06 CUMPLE -0.32 CUMPLE1.51 8.25 -1.95 CUMPLE 0.18 CUMPLE

Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]

A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]









BE6


BE7


BE10


BE15


BE16


BE20


BE26


BE27


BE31


BE37


BE38


BE42


BE48


BE49


BE53





10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40


3.93 21.53 -8.97 CUMPLE -0.73 CUMPLE2.36 12.80 -2.73 CUMPLE -0.51 CUMPLE



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30


3.52 19.44 -13.20 CUMPLE -0.32 CUMPLE1.51 8.26 -3.49 CUMPLE 0.18 CUMPLE1.51 8.27 4.33 ARMADURA EXTRA 1.69 ARMADURA EXTRA



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30














BE59


BE60


BE63


BE70


BE71


BE74


BE79


BE80


BE84


BE90


BE91


BE95


BE101


BE102


BE106



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30














BE112


BE113


BE117


BE123


BE124


BE127


BE134


BE135


BE138


BE143


BE144


BE148


BE154


BE155


BE158


BE163


BE164


BE167





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30

8 0.503 2.00 15.00 φ 8 c / 30


3.52 19.52 -16.66 CUMPLE -0.32 CUMPLE




8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30

8 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 2.00 15.00 φ 8 c / 30





10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40


3.93 21.78 -18.82 CUMPLE -0.73 CUMPLE

2.36 13.01 -11.71 CUMPLE -0.16 CUMPLE



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30












BE172


BE173


BE176


BE182


BE183


BE186


BE191


BE192


BE195


BE200


BE201


BE204


BE209


BE210


BE213


BE220


BE221


8 0.503 2.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 4.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30






8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30

8 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30

8 0.503 2.00 15.00 φ 8 c / 30

8 0.503 2.00 15.00 φ 8 c / 30





10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40


3.93 21.77 -18.43 CUMPLE -0.73 CUMPLE2.36 13.00 -10.99 CUMPLE -0.16 CUMPLE



8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30











BE224


BE229


BE230


BE234


BE240


BE241


BE245


BE251


BE252


BE256


BE262


BE263


BE266


BE273


BE274






8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30





8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30












BE277


BE282


BE283


BE287


BE293


BE294


BE298


BE304


BE305


BE309


BE315


BE316


BE319


Documents

Losa Maciza en Dos Direcciones Mmm