Predimensionamiento de vigas

V-M-1

Cargas de diseño.- f'c: 280

L (m) fy: 4200 kg/cm2

8.7 250 150 0 0 b1: 0.85 K ≤ 0.4237

Cuantías y secciones de acero máximas y mínimas viga

a b (cm) H (cm) d (cm)

0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22

bi: 1.9 bi: 1.9 bi:

475 475

285 285

1138.5 1138.5

Momentos (kg m) y amadura

0.40 0.96 1.69 0.87 0.96 1.69 2.45

A 2.90 B 2.90 C0.684 0.598

d (cm): 8.54 11.18 17.57 10.46 17.57

h nom: 11.54 14.18 20.57 13.46 20.57

K: 0.0218 0.0374 0.0924 0.0327 0.0924

w: 0.0221 0.0382 0.0980 0.0334 0.0980

r: 0.0015 0.0025 0.0065 0.0022 0.0065

As: 0.486 0.841 2.157 0.734 2.157

Sup

erio

r

Ø 10 12 12

n V 2 2 2

As v 0.7854 1.1310 1.1310

As: 1.5708 2.2619 2.2619

a: 1.848 2.661 2.661

Mr: 1.251 1.767 1.767

313.68% 104.57% 104.57%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

258.41% 295.32%

Cortantes y estribos.

f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00

S máx permitidas y cortantes resistentes respectivos

S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 1.651 3.302 1.651 5.618

A 0.73 2.90 0.73 B 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: -0.12 6.23 -0.12 2.52 4.67

S requerido: -776.37 14.92 -776.37 36.83 19.91

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): 0.00 0.00 0.00 0.00 0.01

S2: 24.00 24.00

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491

kg/cm2

qD(kg/m2) qL(kg/m2) wuD (Kg/m) wuL (Kg/m)

r B r máx Asmáx r mín1 Asmín r mín2 Asmín

wuD (Kg/m): wuD (Kg/m): wuD (Kg/m):

wuL (Kg/m): wuL (Kg/m): wuL (Kg/m):

wu (Kg/m): wu (Kg/m): wu (Kg/m):

Vr viga

Vu / f:

H (L/16) H (cm) b (cm) Rec ppv (kg/m)

18.13 25 15 3 93.75

Losa de tanques AAPP: 1753.75 Kg

Mr (T) Tanques: 2400 Kg

2.94 q: 1432.328

1.9

2193.7931

285

3201.0517

1.12

2.90 D1.923

18.74 14.32

21.74 17.32

0.1051 0.0613

0.1126 0.0637

0.0075 0.0042

2.477 1.402

10

2

0.7854

1.5708

1.848

1.251

111.56%

12

3

1.1310

3.3929

3.992

2.566

133.42%

4.642

2.90 0.73 D4.044

3.71

25.04

12.00

7.742

0.01

24.00

3.874

10.503

5.392

VC1

Página 3

VC1


L (m) bi (m) fy: 4200 kg/cm2

8.7 2.5 24.54 300 750 0 b1: 0.85 K ≤ 0.4237


a b (cm) H (cm)

0.0285 0.0143 3.64 4.28 0.0032 0.8128 0.0033 0.8500 15 20


0.38 0.91 0.30 0.83 0.91 0.30

A 2.90 B 2.90 C

0.649 0.568

d (cm): 8.32 10.89 7.40 10.18 7.40

h nom: 11.32 13.89 10.40 13.18 10.40

K: 0.0346 0.0594 0.0275 0.0520 0.0275

w: 0.0354 0.0616 0.0279 0.0537 0.0279

r: 0.0024 0.0041 0.0019 0.0036 0.0019

As: 0.601 1.048 0.475 0.912 0.475

Sup

erio

r

Ø 10 10 10

n V 2 2 2

As v 0.7854 0.7854 0.7854

As: 1.5708 1.5708 1.5708

a: 1.848 1.848 1.848

Mr: 0.955 0.955 0.955

252.22% 318.18% 318.18%

Infe

rior

Ø 10 10

n V 2 2

As v 0.7854 0.7854

As: 1.5708 1.5708

a: 1.848 1.848

Mr: 0.955 0.955

147.13% 168.15%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 4.25 8.50 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 4.985 3.739 2.393 0.893 Vsr (T): 14.36 2.133

4.044 1.566 3.302 1.566

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C

5.618 3.302

Vs*: 0.37 6.86 0.37 3.15

S requerido: 192.91 10.47 192.91 22.79

S1: 12.00 12.00 12.00 12.00

Vsr: 5.982 5.982 5.982 5.982

V(2H): -0.43 0.44 -0.43 0.44

S2: 24.00 24.00

Vr centro: 2.993 2.993

Vr(s+v): 8.116 8.116 8.116 8.116

kg/cm2

Ai(m2) qD(kg/m2) qL(kg/m2) wuD (Kg/m) wuL (Kg/m)


Vr viga

VC1

Página 4

5.392 7.491 4.403 4.403Vu / f:

VC1

Página 5

H (L/16) H (cm) b (cm) Rec ppv (kg/m) 1.2qD 1,6qL

K ≤ 0.4237 18.13 20 15 3 75 825 1080 0 1080

d (cm) Mr (T)

17 1.76

0.83 0.38

2.90 D

0.649

10.89 8.32

13.89 11.32

0.0594 0.0346

0.0616 0.0354

0.0041 0.0024

1.048 0.601

10

2

0.7854

1.5708

1.848

0.955

252.22%

10

2

0.7854

1.5708

1.848

0.955

147.13%

5.618 1.566

0.73 2.90 0.73 C

4.044

0.37 4.34

192.91 16.55

12.00 12.00

5.982 5.982

-0.43 0.44

24.00

2.993

8.116 8.116

wuD (kg/m) wu (Kg/m)

VC1

Página 6

7.491 5.392

VC2


L (m) bi (m) fy: 4200 kg/cm2

8.7 3.7 36.3 20 74 0 b1: 0.85 K ≤ 0.4237



0.0285 0.0143 3.64 4.28 0.0032 0.8128 0.0033 0.8500 15 20 17


0.09 0.23 0.30 0.21 0.23 0.30 0.21

A 2.90 B 2.90 C

0.161 0.141

d (cm): 4.15 5.43 7.40 5.08 7.40

h nom: 7.15 8.43 10.40 8.08 10.40

K: 0.0086 0.0148 0.0275 0.0129 0.0275

w: 0.0087 0.0149 0.0279 0.0130 0.0279

r: 0.0006 0.0010 0.0019 0.0009 0.0019

As: 0.147 0.254 0.475 0.222 0.475

Sup

erio

r

Ø 10 10 10

n V 2 2 2

As v 0.7854 0.7854 0.7854

As: 1.5708 1.5708 1.5708

a: 1.848 1.848 1.848

Mr: 0.955 0.955 0.955

1013.39% 318.18% 318.18%

Infe

rior

Ø 10 10

n V 2 2

As v 0.7854 0.7854

As: 1.5708 1.5708

a: 1.848 1.848

Mr: 0.955 0.955

591.14% 675.59%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 4.25 8.50 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 4.985 3.739 2.393 0.893 Vsr (T): 14.36 2.133

4.044 0.390 3.302 0.390 5.618

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: -1.51 6.86 -1.51 3.15 -1.51

S requerido: -47.54 10.47 -47.54 22.79 -47.54

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 5.982 5.982 5.982 5.982 5.982

V(2H): -0.10 0.11 -0.10 0.11 -0.10

S2: 24.00 24.00

Vr centro: 2.993 2.993

Vr(s+v): 8.116 8.116 8.116 8.116 8.116

5.392 7.491 4.403 4.403 7.491

kg/cm2



Vr viga

Vu / f:


18.13 20 15 3 75 149 269 0 269

Mr (T)

1.76

0.09

2.90 D

0.161

5.43 4.15

8.43 7.15

0.0148 0.0086

0.0149 0.0087

0.0010 0.0006

0.254 0.147

10

3

0.7854

2.3562

2.772

1.391

1476.40%

10

2

0.7854

1.5708

1.848

0.955

591.14%

0.390

2.90 0.73 C

4.044

4.34

16.55

12.00

5.982

0.11

24.00

2.993

8.116

5.392


VC6


L (m) bi (m) fy: 4200 kg/cm2

8.7 2.35 20.445 20 47 0 b1: 0.85 K ≤ 0.4237


18.13 20 15 3 75 122 236.4 0 236.4



0.0285 0.0143 3.64 4.28 0.0032 0.8128 0.0033 0.8500 15 20 17


0.08 0.20 2.23 0.18 0.20 2.23 0.18

A 2.90 B 2.90 C

0.142 0.124

d (cm): 3.89 5.09 20.18 4.76 20.18

h nom: 6.89 8.09 23.18 7.76 23.18

K: 0.0076 0.0130 0.2041 0.0114 0.2041

w: 0.0076 0.0131 0.2374 0.0115 0.2374

r: 0.0005 0.0009 0.0158 0.0008 0.0158

As: 0.129 0.223 4.035 0.195 4.035

Sup

erio

r

Ø 10 12 12

n V 2 3 3

As v 0.7854 1.1310 1.1310

As: 1.5708 3.3929 3.3929

a: 1.848 3.992 3.992

Mr: 0.955 1.924 1.924

1152.28% 86.29% 86.29%

Infe

rior

Ø 10 10

n V 2 2

As v 0.7854 0.7854

As: 1.5708 1.5708

a: 1.848 1.848

Mr: 0.955 0.955

672.16% 768.19%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 4.25 8.50 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 4.985 3.739 2.393 0.893 Vsr (T): 14.36 2.133

4.044 0.343 3.302 0.343 5.618

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: -1.59 6.86 -1.59 3.15 -1.59

S requerido: -45.29 10.47 -45.29 22.79 -45.29

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 5.982 5.982 5.982 5.982 5.982

V(2H): -0.09 0.10 -0.09 0.10 -0.09

S2: 24.00 24.00

Vr centro: 2.993 2.993

Vr(s+v): 8.116 8.116 8.116 8.116 8.116

kg/cm2

Ai(m2) qD(kg/m2) qL(kg/m2) wuD (Kg/m)wuL (Kg/m)



Vr viga

5.392 7.491 4.403 4.403 7.491Vu / f:

Mr (T)

1.76

0.08

2.90 D

0.142

5.09 3.89

8.09 6.89

0.0130 0.0076

0.0131 0.0076

0.0009 0.0005

0.223 0.129

10

2

0.7854

1.5708

1.848

0.955

1152.28%

10

2

0.7854

1.5708

1.848

0.955

672.16%

0.343

2.90 0.73 C

4.044

4.34

16.55

12.00

5.982

0.10

24.00

2.993

8.116

Viga 2N2Cargas de diseño.- f'c: 280

L (m) bi (m) D (Kg/m) L (Kg/m) fy: 4200 kg/cm2 H (L/16)

18.00 1.45 26.1 250 362.5 0 b1: 0.85 K ≤ 0.4237 23.75

Cuantías y secciones de acero máximas y mínimas vigaa b (cm) H (cm) d (cm) Mr (T)

0.0285 0.0143 3.64 4.28 0.0032 0.8128 0.0033 0.8500 15 20 17 1.76


0.81 0.89 0.89 0.72 0.80 0.80 0.68

1 3.80 2 3.60 3 3.500.634 0.498 0.538

d (cm): 12.14 10.77 12.75 9.54 12.09 9.92

h nom: 15.14 13.77 15.75 12.54 15.09 12.92

K: 0.0739 0.0581 0.0815 0.0456 0.0732 0.0493

w: 0.0774 0.0602 0.0858 0.0469 0.0767 0.0508

r: 0.0052 0.0040 0.0057 0.0031 0.0051 0.0034

As: 1.316 1.023 1.459 0.797 1.304 0.863

Sup

erio

r

Ø 10 10 10

n V 2 2 2

As v 0.7854 0.7854 0.0000 0.7854 0.0000

As: 1.5708 1.5708 1.5708

a: 1.848 1.848 1.848

Mr: 0.955 0.955 0.955

118.23% 107.25% 119.32%

Infe

rior

Ø 10 10 10

n V 2 2 2

As v 0.7854 0.7854 0.7854

As: 1.5708 1.5708 1.5708

a: 1.848 1.848 1.848

Mr: 0.955 0.955 0.955

150.48% 191.62% 177.38%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 4.25 8.50 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 4.985 3.739 2.393 0.893 Vsr (T): 14.36 2.133

3.560 1.169 3.380 1.107 3.280 1.076

1 0.95 3.80 0.95 2 0.90 3.60 0.90 3 0.88 3.50

3.560 3.380

Vs*: -0.26 3.56 -0.36 3.27 -0.41

S requerido: -272.04 20.15 -198.15 21.92 -174.46

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 5.982 5.982 5.982 5.982 5.982

V(2H): -0.24 0.25 -0.24 0.25 -0.24

S2: 24.00 24.00 24.00

Vr centro: 2.993 2.993 2.993

Vr(s+v): 8.116 8.116 8.116 8.116 8.116

4.747 4.747 4.507 4.507 4.373

kg/cm2

Ai(m2) qD(kg/m2) qL(kg/m2)


Vr viga

Vu / f:

H (cm) b (cm) Rec ppv (kg/m) 1.2qD 1,6qL

20 15 3 75 437.5 615 0 615

0.75 0.75 0.70 0.78 0.78 0.70 0.70

4 3.55 5 3.55 60.484 0.554

11.71 9.41 11.94 10.06 11.35

14.71 12.41 14.94 13.06 14.35

0.0687 0.0443 0.0714 0.0507 0.0645

0.0717 0.0456 0.0747 0.0523 0.0672

0.0048 0.0030 0.0050 0.0035 0.0045

1.219 0.775 1.270 0.889 1.142

10 10 10

2 2 2

0.7854 0.0000 0.7854 0.0000 0.7854

1.5708 1.5708 1.5708

1.848 1.848 1.848

0.955 0.955 0.955

127.27% 122.38% 135.47%

10 10

2 2

0.7854 0.7854

1.5708 1.5708

1.848 1.848

0.955 0.955

197.05% 172.42%

3.330 1.092 3.330 1.092

0.88 4 0.89 3.55 0.89 5 0.89 3.55 0.89 63.280 3.330 3.330

3.11 -0.39 3.19 -0.39 3.19

23.05 -185.55 22.47 -185.55 22.47

12.00 12.00 12.00 12.00 12.00

5.982 5.982 5.982 5.982 5.982

0.25 -0.24 0.25 -0.24 0.25

24.00 24.00

2.993 2.993

8.116 8.116 8.116 8.116 8.116

4.373 4.440 4.440 4.440 4.440


V-PA-1


L (m) fy: 4200 kg/cm2

8.7 500 250 0 0 b1: 0.85 K ≤ 0.4237



0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22

bi: 1.9 bi: 1.9 bi:

950 950

475 475

2012.5 2012.5


0.71 1.69 1.69 1.54 1.69 1.69 1.54

A 2.90 B 2.90 C

1.209 1.058

d (cm): 11.35 14.86 17.57 13.90 17.57

h nom: 14.35 17.86 20.57 16.90 20.57

K: 0.0385 0.0661 0.0924 0.0578 0.0924

w: 0.0395 0.0689 0.0980 0.0599 0.0980

r: 0.0026 0.0046 0.0065 0.0040 0.0065

As: 0.868 1.515 2.157 1.319 2.157

Sup

erio

r

Ø 10 12 12

n V 2 2 2

As v 0.7854 1.1310 1.1310

As: 1.5708 2.2619 2.2619

a: 1.848 2.661 2.661

Mr: 1.251 1.767 1.767

177.45% 104.57% 104.57%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

146.18% 167.07%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 2.918 3.302 2.918 5.618

A 0.73 2.90 0.73 B 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: 1.91 6.23 1.91 2.52 1.91

S requerido: 48.69 14.92 48.69 36.83 48.69

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): 0.00 0.00 0.00 0.00 0.01

S2: 24.00 24.00

kg/cm2






Vr viga

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491Vu / f:


18.13 25 15 3 93.75

Mr (T)

2.94

1.9

950

475

2012.5

0.71

2.90 D

1.209

14.86 11.35

17.86 14.35

0.0661 0.0385

0.0689 0.0395

0.0046 0.0026

1.515 0.868

10

2

0.7854

1.5708

1.848

1.251

177.45%

12

2

1.1310

2.2619

2.661

1.767

146.18%

2.918

2.90 0.73 D

4.044

3.71

25.04

12.00

7.742

0.01

24.00

3.874

10.503

5.392

VC2Cargas de diseño.- f'c: 280

L (m) bi (m) fy: 4200 kg/cm2

8.7 3.7 36.3 250 125 925 463 b1: 0.85 K ≤ 0.4237

Cuantías y secciones de acero máximas y mínimas vigaa b (cm) H (cm) d (cm)

0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22


0.73 1.75 1.75 1.59 1.75 1.75 1.59

A 2.90 B 2.90 C1.246 1.091

d (cm): 11.53 15.09 17.88 14.12 17.88

h nom: 14.53 18.09 20.88 17.12 20.88

K: 0.0397 0.0681 0.0957 0.0596 0.0957

w: 0.0407 0.0711 0.1018 0.0619 0.1018

r: 0.0027 0.0047 0.0068 0.0041 0.0068

As: 0.896 1.565 2.239 1.361 2.239

Sup

erio

r

Ø 12 12 12

n V 2 2 2

As v 1.1310 1.1310 1.1310

As: 2.2619 2.2619 2.2619

a: 2.661 2.661 2.661

Mr: 1.767 1.767 1.767

243.05% 100.99% 100.99%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

141.78% 162.03%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 3.009 3.302 3.009 5.618

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: 2.05 6.23 2.05 2.52 2.05

S requerido: 45.25 14.92 45.25 36.83 45.25

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -1.03 1.04 -1.03 1.04 -1.03

S2: 24.00 24.00

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491

kg/cm2



Vr viga

Vu / f:


18.13 25 15 3 94 1019 1335 740 2075

Mr (T)

2.94

0.73

2.90 D1.246

15.09 11.53

18.09 14.53

0.0681 0.0397

0.0711 0.0407

0.0047 0.0027

1.565 0.896

12

2

1.1310

2.2619

2.661

1.767

243.05%

12

2

1.1310

2.2619

2.661

1.767

141.78%

3.009

2.90 0.73 C4.044

3.71

25.04

12.00

7.742

1.04

24.00

3.874

10.503

5.392


Viga 4N2


L (m) bi (m) fy: 4200 kg/cm2 H (L/16)

8.7 3.55 30.885 600 400 2130 1420 b1: 0.85 K ≤ 0.4237 54.37


a b (cm) H (cm) d (cm) Mr (T)

0.0285 0.0143 22.25 13.09 0.0032 4.9722 0.0033 5.2000 30 55 52 32.89


24.49

A 8.70

31.455

d (cm): 47.30 53.60

h nom: 50.30 56.60

K: 0.1198 0.1539

w: 0.1297 0.1712

r: 0.0086 0.0114

As: 13.490 17.800

Sup

erio

r

Ø 22

n V 4

As v 3.8013

As: 15.2053

a: 8.944

Mr: 27.317

111.56%

Infe

rior

Ø 24

n V 5

As v 4.5239

As: 22.6195

a: 13.306

Mr: 38.773

123.27%


f Ø fy As Mayor Ø

0.75 10 4200 0.7854 18.00


S máx: 13.00 26.00 14 24.00 30.00 62.83 S mín: 5

Vsr (T): 26.389 13.195 23.824 14.294 11.435 5.460 Vsr (T): 68.61 13.052

13.110 25.308 0.000

A 2.18 8.70 0.00

Vs*: 27.44

S requerido: 12.50

S1: 10.00

Vsr: 34.306

V(2H): -6.39

S2: 15.00

Vr centro: 22.884

Vr(s+v): 47.358

17.480

kg/cm2

Ai(m2) qD(kg/m2) qL(kg/m2)wuD (Kg/m)wuL (Kg/m)


Vr viga

Vu / f:


55 30 3 413 2543 3546 2272 5818

24.49

D

47.30

50.30

0.1198

0.1297

0.0086

13.490

22

4

3.8013

15.2053

8.944

27.317

111.56%

2.18 D

13.110

7.92

43.29

10.00

34.306

6.40

47.358

17.480


V-PA-6Cargas de diseño.- f'c: 280

L (m) bi (m) fy: 4200 kg/cm2

8.7 1.8 36.3 250 125 450 225 b1: 0.85 K ≤ 0.4237


0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22


0.39 0.95 0.95 0.86 0.95 0.95 0.86

A 2.90 B 2.90 C0.676 0.591

d (cm): 8.49 11.11 13.17 10.39 13.17

h nom: 11.49 14.11 16.17 13.39 16.17

K: 0.0215 0.0369 0.0519 0.0323 0.0519

w: 0.0218 0.0378 0.0536 0.0330 0.0536

r: 0.0015 0.0025 0.0036 0.0022 0.0036

As: 0.480 0.831 1.180 0.725 1.180

Sup

erio

r

Ø 12 12 12

n V 2 2 2

As v 1.1310 1.1310 1.1310

As: 2.2619 2.2619 2.2619

a: 2.661 2.661 2.661

Mr: 1.767 1.767 1.767

448.30% 186.03% 186.03%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

261.51% 298.86%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 1.631 3.302 1.631 5.618

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: -0.15 6.23 -0.15 2.52 -0.15

S requerido: -615.31 14.92 -615.31 36.83 -615.31

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -0.56 0.57 -0.56 0.57 -0.56

S2: 24.00 24.00

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491

kg/cm2



Vr viga

Vu / f:


18.13 25 15 3 94 544 765 360 1125

Mr (T)

2.94

0.39

2.90 D0.676

11.11 8.49

14.11 11.49

0.0369 0.0215

0.0378 0.0218

0.0025 0.0015

0.831 0.480

12

2

1.1310

2.2619

2.661

1.767

448.30%

12

2

1.1310

2.2619

2.661

1.767

261.51%

1.631

2.90 0.73 C4.044

3.71

25.04

12.00

7.742

0.57

24.00

3.874

10.503

5.392




18.00 1.45 26.1 500 300 725 435 b1: 0.85 K ≤ 0.4237 23.75


0.0285 0.0143 6.28 5.54 0.0032 1.4024 0.0033 1.4667 20 25 22 3.92


2.26 2.69 2.53 2.20 2.42 2.27 2.08

1 3.80 2 3.60 3 3.501.925 1.511 1.633

d (cm): 17.58 16.24 18.62 14.39 17.64 14.96

h nom: 20.58 19.24 21.62 17.39 20.64 17.96

K: 0.0925 0.0789 0.1037 0.0620 0.0931 0.0669

w: 0.0982 0.0830 0.1110 0.0644 0.0988 0.0698

r: 0.0065 0.0055 0.0074 0.0043 0.0066 0.0047

As: 2.880 2.434 3.255 1.889 2.899 2.048

Sup

erio

r

Ø 12 12 12

n V 3 3 3

As v 1.1310 1.1310 0.0000 1.1310 0.0000

As: 3.3929 3.3929 3.3929

a: 2.994 2.994 2.994

Mr: 2.630 2.630 2.630

116.56% 103.94% 115.84%

Infe

rior

Ø 12 12 12

n V 3 3 3

As v 1.1310 1.1310 1.1310

As: 3.3929 3.3929 3.3929

a: 2.994 2.994 2.994

Mr: 2.630 2.630 2.630

136.63% 173.98% 161.05%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 60.32 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.540 Vsr (T): 18.58 3.681

3.560 3.545 3.380 3.359 3.280 3.266

1 0.95 3.80 0.95 2 0.90 3.60 0.90 3 0.88 3.50

3.560 3.380

Vs*: 1.99 2.01 1.69 1.73 1.54

S requerido: 46.65 46.11 54.88 53.80 60.19

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -0.93 0.94 -0.93 0.94 -0.93

S2: 24.00 24.00 24.00

Vr centro: 3.874 3.874 3.874

Vr(s+v): 11.423 11.423 11.423 11.423 11.423

4.747 4.747 4.507 4.507 4.373

kg/cm2



Vr viga

Vu / f:


25 20 3 125 850 1170 696 1866

2.29 2.14 2.14 2.35 2.21 2.14 1.97

4 3.55 5 3.55 61.470 1.680

17.12 14.19 17.40 15.17 16.43

20.12 17.19 20.40 18.17 19.43

0.0877 0.0603 0.0906 0.0689 0.0807

0.0928 0.0626 0.0960 0.0719 0.0850

0.0062 0.0042 0.0064 0.0048 0.0057

2.722 1.835 2.817 2.109 2.493

12 12 12

3 3 3

1.1310 0.0000 1.1310 0.0000 1.1310

3.3929 3.3929 3.3929

2.994 2.994 2.994

2.630 2.630 2.630

122.88% 118.99% 133.55%

12 12

3 3

1.1310 1.1310

3.3929 3.3929

2.994 2.994

2.630 2.630

178.91% 156.55%

3.330 3.312 3.330 3.312

0.88 4 0.89 3.55 0.89 5 0.89 3.55 0.89 63.280 3.330 3.330

1.57 1.62 1.65 1.62 1.65

59.30 57.41 56.42 57.41 56.42

12.00 12.00 12.00 12.00 12.00

7.742 7.742 7.742 7.742 7.742

0.94 -0.93 0.94 -0.93 0.94

24.00 24.00

3.874 3.874

11.423 11.423 11.423 11.423 11.423

4.373 4.440 4.440 4.440 4.440


Vigas B y C planta alta OficinasCargas de diseño.- f'c: 280


18.00 2.9 52.2 500 250 1450 725 b1: 0.85 K ≤ 0.4237 23.75


0.0285 0.0143 7.84 5.54 0.0032 1.7530 0.0033 1.8333 25 25 22 4.91


4.13 4.73 4.62 3.86 4.24 4.15 3.65

1 3.80 2 3.60 3 3.503.378 2.653 2.866

d (cm): 21.27 19.24 22.50 17.05 21.33 17.72

h nom: 24.27 22.24 25.50 20.05 24.33 20.72

K: 0.1354 0.1108 0.1515 0.0870 0.1361 0.0940

w: 0.1484 0.1192 0.1682 0.0920 0.1492 0.0999

r: 0.0099 0.0079 0.0112 0.0061 0.0099 0.0067

As: 5.442 4.369 6.168 3.373 5.472 3.662

Sup

erio

r

Ø 14 20 14 20 14 20

n V 2 1 2 1 2 1

As v 1.5394 3.1416 1.5394 3.1416 1.5394 3.1416

As: 6.2204 6.2204 6.2204

a: 4.391 4.391 4.391

Mr: 4.657 4.657 4.657

112.78% 100.79% 112.21%

Infe

rior

Ø 14 14 14

n V 3 3 3

As v 1.5394 1.5394 1.5394

As: 4.6181 4.6181 4.6181

a: 3.260 3.260 3.260

Mr: 3.556 3.556 3.556

105.27% 134.05% 124.09%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 48.26 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.925 Vsr (T): 18.58 4.602

3.560 6.223 3.380 5.895 3.280 5.731

1 0.95 3.80 0.95 2 0.90 3.60 0.90 3 0.88 3.50

3.560 3.380

Vs*: 5.35 1.09 4.83 0.81 4.57

S requerido: 17.35 84.89 19.23 115.21 20.34

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -1.63 1.64 -1.63 1.64 -1.63

S2: 24.00 24.00 24.00

Vr centro: 3.875 3.875 3.875

Vr(s+v): 12.343 12.343 12.343 12.343 12.343

4.747 4.747 4.507 4.507 4.373

kg/cm2



Vr viga

Vu / f:


25 25 3 156.25 1606.25 2115 1160 3275

4.01 3.92 3.75 4.13 4.03 3.75 1.97

4 3.55 5 3.55 62.580 2.948

20.73 16.82 21.02 17.98 14.69

23.73 19.82 24.02 20.98 17.69

0.1286 0.0846 0.1322 0.0967 0.0646

0.1401 0.0893 0.1445 0.1029 0.0672

0.0093 0.0060 0.0096 0.0069 0.0045

5.139 3.274 5.298 3.774 2.466

14 20 14 20 14

2 1 2 1 2

1.5394 3.1416 1.5394 3.1416 1.5394

6.2204 6.2204 3.0788

4.391 4.391 2.173

4.657 4.657 2.434

118.79% 115.55% 123.61%

14 14

3 3

1.5394 1.5394

4.6181 4.6181

3.260 3.260

3.556 3.556

137.85% 120.62%

3.330 5.813 3.330 5.813

0.88 4 0.89 3.55 0.89 5 0.89 3.55 0.89 63.280 3.330 3.330

0.65 4.70 0.73 4.70 0.73

143.72 19.77 127.89 19.77 127.89

12.00 12.00 12.00 12.00 12.00

7.742 7.742 7.742 7.742 7.742

1.64 -1.63 1.64 -1.63 1.64

24.00 24.00

3.875 3.875

12.343 12.343 12.343 12.343 12.343

4.373 4.440 4.440 4.440 4.440




18.00 1.45 26.1 500 450 725 652.5 b1: 0.85 K ≤ 0.4237 23.75


0.0285 0.0143 6.28 5.54 0.0032 1.4024 0.0033 1.4667 20 25 22 3.92


2.26 3.20 2.53 2.61 2.87 2.27 2.47

1 3.80 2 3.60 3 3.502.284 1.793 1.937

d (cm): 17.58 17.69 18.62 15.68 17.64 16.29

h nom: 20.58 20.69 21.62 18.68 20.64 19.29

K: 0.0925 0.0936 0.1037 0.0735 0.0931 0.0794

w: 0.0982 0.0994 0.1110 0.0770 0.0988 0.0835

r: 0.0065 0.0066 0.0074 0.0051 0.0066 0.0056

As: 2.880 2.917 3.255 2.259 2.899 2.450

Sup

erio

r

Ø 12 12 12

n V 3 3 3

As v 1.1310 1.1310 0.0000 1.1310 0.0000

As: 3.3929 3.3929 3.3929

a: 2.994 2.994 2.994

Mr: 2.630 2.630 2.630

116.56% 103.94% 115.84%

Infe

rior

Ø 12 12 12

n V 3 3 3

As v 1.1310 1.1310 1.1310

As: 3.3929 3.3929 3.3929

a: 2.994 2.994 2.994

Mr: 2.630 2.630 2.630

115.15% 146.63% 135.74%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 60.32 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.540 Vsr (T): 18.58 3.681

3.560 4.207 3.380 3.985 3.280 3.875

1 0.95 3.80 0.95 2 0.90 3.60 0.90 3 0.88 3.50

3.560 3.380

Vs*: 3.05 2.01 2.70 1.73 2.52

S requerido: 30.47 46.11 34.47 53.80 36.90

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -1.10 1.11 -1.10 1.11 -1.10

S2: 24.00 24.00 24.00

Vr centro: 3.874 3.874 3.874

Vr(s+v): 11.423 11.423 11.423 11.423 11.423

4.747 4.747 4.507 4.507 4.373

kg/cm2



Vr viga

Vu / f:


25 20 3 125 850 1170 1044 2214

2.71 2.14 2.54 2.79 2.21 2.54 1.97

4 3.55 5 3.55 61.744 1.993

17.12 15.46 17.40 16.53 16.43

20.12 18.46 20.40 19.53 19.43

0.0877 0.0715 0.0906 0.0817 0.0807

0.0928 0.0748 0.0960 0.0861 0.0850

0.0062 0.0050 0.0064 0.0057 0.0057

2.722 2.194 2.817 2.525 2.493

12 12 12

3 3 3

1.1310 0.0000 1.1310 0.0000 1.1310

3.3929 3.3929 3.3929

2.994 2.994 2.994

2.630 2.630 2.630

122.88% 118.99% 133.55%

12 12

3 3

1.1310 1.1310

3.3929 3.3929

2.994 2.994

2.630 2.630

150.79% 131.94%

3.330 3.930 3.330 3.930

0.88 4 0.89 3.55 0.89 5 0.89 3.55 0.89 63.280 3.330 3.330

1.57 2.61 1.65 2.61 1.65

59.30 35.64 56.42 35.64 56.42

12.00 12.00 12.00 12.00 12.00

7.742 7.742 7.742 7.742 7.742

1.11 -1.10 1.11 -1.10 1.11

24.00 24.00

3.874 3.874

11.423 11.423 11.423 11.423 11.423

4.373 4.440 4.440 4.440 4.440


V-M-1


L (m) fy: 4200 kg/cm2

8.7 250 150 0 0 b1: 0.85 K ≤ 0.4237



0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22

bi: 1.9 bi: 1.9 bi:

475 475

285 285

1138.5 1138.5


0.40 0.96 1.69 0.87 0.96 1.69 0.87

A 2.90 B 2.90 C0.684 0.598

d (cm): 8.54 11.18 17.57 10.46 17.57

h nom: 11.54 14.18 20.57 13.46 20.57

K: 0.0218 0.0374 0.0924 0.0327 0.0924

w: 0.0221 0.0382 0.0980 0.0334 0.0980

r: 0.0015 0.0025 0.0065 0.0022 0.0065

As: 0.486 0.841 2.157 0.734 2.157

Sup

erio

r

Ø 10 12 12

n V 2 2 2

As v 0.7854 1.1310 1.1310

As: 1.5708 2.2619 2.2619

a: 1.848 2.661 2.661

Mr: 1.251 1.767 1.767

313.68% 104.57% 104.57%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

258.41% 295.32%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 1.651 3.302 1.651 5.618

A 0.73 2.90 0.73 B 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: -0.12 6.23 -0.12 2.52 -0.12

S requerido: -776.37 14.92 -776.37 36.83 -776.37

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): 0.00 0.00 0.00 0.00 0.01

S2: 24.00 24.00

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491

kg/cm2






Vr viga

Vu / f:


18.13 25 15 3 93.75

Mr (T)

2.94

1.9

475

285

1138.5

0.40

2.90 D0.684

11.18 8.54

14.18 11.54

0.0374 0.0218

0.0382 0.0221

0.0025 0.0015

0.841 0.486

10

2

0.7854

1.5708

1.848

1.251

313.68%

12

2

1.1310

2.2619

2.661

1.767

258.41%

1.651

2.90 0.73 D4.044

3.71

25.04

12.00

7.742

0.01

24.00

3.874

10.503

5.392

V-M-2Cargas de diseño.- f'c: 280

L (m) bi (m) fy: 4200 kg/cm2

8.7 3.7 36.3 250 150 925 555 b1: 0.85 K ≤ 0.4237


0.0285 0.0143 4.71 5.54 0.0032 1.0518 0.0033 1.1000 15 25 22


0.78 1.87 1.75 1.70 1.87 1.75 1.70

A 2.90 B 2.90 C1.335 1.168

d (cm): 11.93 15.62 17.88 14.61 17.88

h nom: 14.93 18.62 20.88 17.61 20.88

K: 0.0426 0.0730 0.0957 0.0639 0.0957

w: 0.0437 0.0764 0.1018 0.0665 0.1018

r: 0.0029 0.0051 0.0068 0.0044 0.0068

As: 0.962 1.682 2.239 1.462 2.239

Sup

erio

r

Ø 12 12 12

n V 2 2 2

As v 1.1310 1.1310 1.1310

As: 2.2619 2.2619 2.2619

a: 2.661 2.661 2.661

Mr: 1.767 1.767 1.767

226.87% 100.99% 100.99%

Infe

rior

Ø 12 12

n V 2 2

As v 1.1310 1.1310

As: 2.2619 2.2619

a: 2.661 2.661

Mr: 1.767 1.767

132.34% 151.25%


f Ø fy As Mayor Ø

0.75 8 4200 0.5027 18.00


S máx: 5.50 11.00 14 19.20 30.00 80.43 S mín: 5

Vsr (T): 16.891 8.445 6.451 4.838 3.097 1.155 Vsr (T): 18.58 2.761

4.044 3.223 3.302 3.223 5.618

B 0.73 2.90 0.73 C 0.73 2.90 0.73 C 0.73

5.618 3.302

Vs*: 2.40 6.23 2.40 2.52 2.40

S requerido: 38.77 14.92 38.77 36.83 38.77

S1: 12.00 12.00 12.00 12.00 12.00

Vsr: 7.742 7.742 7.742 7.742 7.742

V(2H): -1.11 1.12 -1.11 1.11 -1.11

S2: 24.00 24.00

Vr centro: 3.874 3.874

Vr(s+v): 10.503 10.503 10.503 10.503 10.503

5.392 7.491 4.403 4.403 7.491

kg/cm2



Vr viga

Vu / f:


18.13 25 15 3 94 1019 1335 888 2223

Mr (T)

2.94

0.78

2.90 D1.335

15.62 11.93

18.62 14.93

0.0730 0.0426

0.0764 0.0437

0.0051 0.0029

1.682 0.962

12

2

1.1310

2.2619

2.661

1.767

226.87%

12

2

1.1310

2.2619

2.661

1.767

132.34%

3.223

2.90 0.73 C4.044

3.71

25.04

12.00

7.742

1.12

24.00

3.874

10.503

5.392


Predimensionamiento de vigas

Documents

Transcript of Predimensionamiento de vigas