Albañileria

3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

5.0000

18.5185

23.5185

0.009780

3.3333

5.4870

8.8203

0.026076

5.0000

18.5185

23.5185

0.005528

3.9474

9.1121

13.0595

0.017612

1.7442

0.7861

2.5303

0.090899

1.8293

0.9068

2.7361

0.084061

2.4194

2.0979

4.5173

0.050915

2.7778

3.1753

5.9531

0.038635

4.4118

12.7214

17.1331

0.007588

4.6875

15.2588

19.9463

0.006518

5.1724

20.5010

25.6735

0.008959

2.8302

3.3585

6.1887

0.037165

4.5455

13.9132

18.4587

0.012460

2.8302

3.3585

6.1887

0.037165

2.4590

2.2028

4.6618

0.049337

32.6087

5136.8456

5169.45

0.001625

57.6923

28447.8835

28505.58

0.000100

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000107

57.6923

28447.8835

28505.58

0.000107

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000107

32.6087

5136.8456

5169.45

0.000590

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000102

57.6923

28447.8835

28505.58

0.000102

32.6087

5136.8456

5169.45

0.000377

57.6923

28447.8835

28505.58

0.000151

32.6087

5136.8456

5169.45

0.000832

32.6087

5136.8456

5169.45

0.000832 0.537981

2º PISO: RIGIDECES DE MUROS EN LA DIRECCION "X" MURO

3(h/I)

4(h/l)^3

3(h/l)+4(h/l)^3

Kx/Em

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X

5.1724

20.5010

25.6735

0.008959

2.7473

3.0718

5.8190

0.039525

5.0000

18.5185

23.5185

0.009780

3.3333

5.4870

8.8203

0.026076

5.0000

18.5185

23.5185

0.005528

3.9474

9.1121

13.0595

0.017612

1.7442

0.7861

2.5303

0.090899

1.8293

0.9068

2.7361

0.084061

2.4194

2.0979

4.5173

0.050915

2.7778

3.1753

5.9531

0.038635

4.4118

12.7214

17.1331

0.007588

12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

4.6875

15.2588

19.9463

0.006518

5.1724

20.5010

25.6735

0.008959

2.8302

3.3585

6.1887

0.037165

4.5455

13.9132

18.4587

0.012460

2.8302

3.3585

6.1887

0.037165

2.4590

2.2028

4.6618

0.049337

32.6087

5136.8456

5169.45

0.001625

57.6923

28447.8835

28505.58

0.000100

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000107

57.6923

28447.8835

28505.58

0.000107

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000107

32.6087

5136.8456

5169.45

0.000590

32.6087

5136.8456

5169.45

0.000590

57.6923

28447.8835

28505.58

0.000102

57.6923

28447.8835

28505.58

0.000102

32.6087

5136.8456

5169.45

0.000377

57.6923

28447.8835

28505.58

0.000151

32.6087

5136.8456

5169.45

0.000832

32.6087

5136.8456

5169.45

0.000832 0.537981

b) CALCULO RIGIDECES DE MUROS EN LA DIRECCION "Y" 1º PISO: RIGIDECES DE MUROS EN LA DIRECCION "Y" MURO

3(h/I)

4(h/l)^3

3(h/l)+4(h/l)^3

Ky/Em

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y

32.6087

5136.8456

5169.4543

0.000280

32.6087

5136.8456

5169.4543

0.000528

32.6087

5136.8456

5169.4543

0.000290

32.6087

5136.8456

5169.4543

0.000435

57.6923

28447.8835

28505.5758

0.000053

32.6087

5136.8456

5169.4543

0.000368

32.6087

5136.8456

5169.4543

0.000832

32.6087

5136.8456

5169.4543

0.000793

32.6087

5136.8456

5169.4543

0.000600

32.6087

5136.8456

5169.4543

0.000522

57.6923

28447.8835

28505.5758

0.000060

57.6923

28447.8835

28505.5758

0.000056

32.6087

5136.8456

5169.4543

0.000280

32.6087

5136.8456

5169.4543

0.000513

32.6087

5136.8456

5169.4543

0.000319

32.6087

5136.8456

5169.4543

0.000513

32.6087

5136.8456

5169.4543

0.000590

0.8929

0.1054

1.00

0.230390

2.6316

2.6999

5.33

0.024384

3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.049337

2.5862

2.5626

5.15

0.025248

2.5862

2.5626

5.15

0.025248

3.8462

8.4290

12.28

0.018737

1.7442

0.7861

2.53

0.051378

1.7442

0.7861

2.53

0.090899

1.7442

0.7861

2.53

0.090899 0.845220

2º PISO: RIGIDECES DE MUROS EN LA DIRECCION "Y" MURO

3(h/I)

4(h/l)^3

3(h/l)+4(h/l)^3

Ky/Em

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y

32.6087

5136.8456

5169.4543

0.000280

32.6087

5136.8456

5169.4543

0.000528

32.6087

5136.8456

5169.4543

0.000290

32.6087

5136.8456

5169.4543

0.000435

57.6923

28447.8835

28505.5758

0.000053

32.6087

5136.8456

5169.4543

0.000368

32.6087

5136.8456

5169.4543

0.000832

32.6087

5136.8456

5169.4543

0.000793

32.6087

5136.8456

5169.4543

0.000600

32.6087

5136.8456

5169.4543

0.000522

57.6923

28447.8835

28505.5758

0.000060

57.6923

28447.8835

28505.5758

0.000056

32.6087

5136.8456

5169.4543

0.000280

32.6087

5136.8456

5169.4543

0.000513

32.6087

5136.8456

5169.4543

0.000319

32.6087

5136.8456

5169.4543

0.000513

32.6087

5136.8456

5169.4543

0.000590

0.8929

0.1054

1.00

0.230390

2.6316

2.6999

5.33

0.024384

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.027886

2.4590

2.2028

4.66

0.049337

2.4590

2.2028

4.66

0.049337

2.5862

2.5626

5.15

0.025248

2.5862

2.5626

5.15

0.025248

3.8462

8.4290

12.28

0.018737

13Y 14Y 15Y

1.7442

0.7861

2.53

0.051378

1.7442

0.7861

2.53

0.090899

1.7442

0.7861

2.53

0.090899 0.845220

d) CALCULO DE CORTANTES DE TRASLACION EN LA D 1° PISO: Cortantes de traslación en la dirección "x" 398033.797 Vx1=

2° PISO: Vx2 =

MURO

Vtras= Vx1(Kix/∑Kix)

% de absorcion

MURO

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

6628.212 29243.471 7235.538 19292.891 4089.652 13030.310 67253.071 62193.961 37670.506 28584.928 5613.839 4822.077 6628.212 27496.900 9218.916 27496.900 36502.536 1202.230 73.972 436.524 79.163 79.163 436.524 79.163 436.524 436.524 75.270 75.270 279.089 111.607 615.427 615.427

1.67 7.35 1.82 4.85 1.03 3.27 16.90 15.63 9.46 7.18 1.41 1.21 1.67 6.91 2.32 6.91 9.17 0.30 0.02 0.11 0.02 0.02 0.11 0.02 0.11 0.11 0.02 0.02 0.07 0.03 0.15 0.15


100.00

%

d) CALCULO DE CORTANTES DE TRASLACION EN LA D 1° PISO: Cortantes de traslación en la dirección "y" 398033.797 Vy1=

2° PISO: Vy2=

MURO

Vtras= Vx1(Kix/∑Kix)

% de absorcion

MURO


132.091 248.696 136.646 204.969 24.781 173.085 391.718 373.499 282.402 245.963 28.085 26.433 132.091 241.408 150.311 241.408 277.847 108496.160 11482.780 23233.805 13132.151 13132.151 23233.805 13132.151 23233.805 23233.805 11890.070 11890.070 8823.706 24194.962 42806.472 42806.472

0.03 0.06 0.03 0.05 0.01 0.04 0.10 0.09 0.07 0.06 0.01 0.01 0.03 0.06 0.04 0.06 0.07 27.26 2.88 5.84 3.30 3.30 5.84 3.30 5.84 5.84 2.99 2.99 2.22 6.08 10.75 10.75


100.00

%

CORRECCION POR TORSION a) CALCULO DEL CENTRO DE RIGIDEZ PISO 1° : Centro de rigidez MURO

X

Y

Kx/Em

Ky/Em

Y . KX / Em

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13Y 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

0.725 4.315 7.550 10.975 16.700 18.900 2.150 10.050 14.650 18.500 5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025 16.075 19.725

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250

0.008959

0.000280

0.001120

0.039525

0.000528

0.004941

0.009780

0.000290

0.001222

0.026076

0.000435

0.003260

0.005528

0.000053

0.016444

0.017612

0.000368

0.002201

0.090899

0.000832

0.384048

0.084061

0.000793

0.355158

0.050915

0.000600

0.215117

0.038635

0.000522

0.163234

0.007588

0.000060

0.042301

0.006518

0.000056

0.036335

0.008959

0.000280

0.074133

0.037165

0.000513

0.307538

0.012460

0.000319

0.103109

0.037165

0.000513

0.307538

0.049337

0.000590

0.408261

0.001625

0.230390

0.006825

0.000100

0.024384

0.000142

0.000590

0.049337

0.000900

0.000107

0.027886

0.000163

0.000107

0.027886

0.000163

0.000590

0.049337

0.000900

0.000107

0.027886

0.000163

0.000590

0.049337

0.000900

0.000590

0.049337

0.000900

0.000102

0.025248

0.000707

0.000102

0.025248

0.000707

0.000377

0.018737

0.002801

0.000151

0.051378

0.000943

0.000832

0.090899

0.005199

0.000832

0.090899

0.005199

0.537981

0.845220

2.452573

PISO 2° : Centro de rigidez MURO

X

Y

Kx/Em

Ky/Em

Y . KX / Em

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X

0.725 4.315 7.550 10.975 16.700 18.900 2.150 10.050 14.650 18.500

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225

0.008959

0.000280

0.001120

0.008959

0.000528

0.001120

0.039525

0.000290

0.004941

0.009780

0.000435

0.001222

0.014739

0.000053

0.043848

0.009780

0.000368

0.001222

0.017612

0.000832

0.074410

0.090899

0.000793

0.384048

0.084061

0.000600

0.355158

0.050915

0.000522

0.215117

11X 12X 13Y 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

Xcr = Ycr =

5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025 16.075 19.725

9.8790 4.2659

5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250

0.021837

0.000060

0.121743

0.007588

0.000056

0.042301

0.011531

0.000280

0.095419

0.008959

0.000513

0.074133

0.037165

0.000319

0.307538

0.012460

0.000513

0.103109

0.037165

0.000590

0.307538

1.801862

0.230390

7.567821

0.000551

0.024384

0.000786

0.000107

0.049337

0.000163

0.000590

0.027886

0.000900

0.000107

0.027886

0.000163

0.000107

0.049337

0.000163

0.000590

0.027886

0.000900

0.000107

0.049337

0.000163

0.000590

0.049337

0.000900

0.000561

0.025248

0.003899

0.000102

0.025248

0.000707

0.000068

0.018737

0.000508

0.000832

0.051378

0.005199

0.000151

0.090899

0.000943

0.000832

0.090899

0.005199

2.279089

0.845220

9.722400

Cortante (Vi)

210957.912 398033.797 4.131

1° PISO

DATOS GEOMETRICOS DIRECCION "Y"

Y

MURO

h

t

l

X

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y

2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50

1.45 2.73 1.50 2.25 1.50 1.90 4.30 4.10 3.10 2.70 1.70 1.60 1.45 2.65 1.65 2.65 3.05 0.23 0.13 0.23 0.13 0.13 0.23 0.13 0.23 0.23 0.13 0.13 0.23 0.13

0.23 0.23 0.23 0.23 0.13 0.23 0.23 0.23 0.23 0.23 0.13 0.13 0.23 0.23 0.23 0.23 0.23 8.4 2.85 3.05 3.05 3.05 3.05 3.05 3.05 3.05 2.9 2.9 1.95 4.30

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250

6.250 6.250

14Y 15Y

2º PISO

2.50 2.50

0.23 0.23

4.30 4.30

6.250 6.250

DATOS GEOMETRICOS DIRECCION "Y"

Y

MURO

h

t

l

X

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250


2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50

1.45 2.73 1.50 2.25 1.50 1.90 4.30 4.10 3.10 2.70 1.70 1.60 1.45 2.65 1.65 2.65 3.05 0.23 0.13 0.23 0.13 0.13 0.23 0.13 0.23 0.23 0.13 0.13 0.23 0.13 0.23 0.23

0.23 0.23 0.23 0.23 0.13 0.23 0.23 0.23 0.23 0.23 0.13 0.13 0.23 0.23 0.23 0.23 0.23 8.4 2.85 3.05 3.05 3.05 3.05 3.05 3.05 3.05 2.9 2.9 1.95 4.30 4.30 4.30

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250

IRECCION "X" (V trasl) Cortantes de traslación en la dirección "x" 210957.912 Vtras= Vx1(Kix/∑Kix)

% de absorcion

3512.952 15499.040 3834.835 10225.232 2167.515 6906.064 35644.128 32962.799 19965.368 15150.012 2975.334 2555.701 3512.952 14573.357 4886.025 14573.357 19346.344 637.182 39.205 231.358 41.956 41.956 231.358 41.956 231.358 231.358 39.893 39.893 147.917 59.152 326.176 326.176

1.67 7.35 1.82 4.85 1.03 3.27 16.90 15.63 9.46 7.18 1.41 1.21 1.67 6.91 2.32 6.91 9.17 0.30 0.02 0.11 0.02 0.02 0.11 0.02 0.11 0.11 0.02 0.02 0.07 0.03 0.15 0.15

100.00

%

IRECCION "Y" (V trasl) Cortantes de traslación en la dirección "y" 210957.912 Vtras= Vx1(Kix/∑Kix)

% de absorcion

70.008 131.809 72.422 108.634 13.134 91.735 207.611 197.954 149.673 130.360 14.885 14.009 70.008 127.946 79.665 127.946 147.259 57502.965 6085.873 12313.917 6960.040 6960.040 12313.917 6960.040 12313.917 12313.917 6301.737 6301.737 4676.564 12823.330 22687.430 22687.430

0.03 0.06 0.03 0.05 0.01 0.04 0.10 0.09 0.07 0.06 0.01 0.01 0.03 0.06 0.04 0.06 0.07 27.26 2.88 5.84 3.30 3.30 5.84 3.30 5.84 5.84 2.99 2.99 2.22 6.08 10.75 10.75

100.00

X . KY / Em

%

0.000203 0.002279 0.002191 0.004777 0.000879 0.006947 0.001788 0.007971 0.008785 0.009663 0.000298 0.000418 0.000203 0.002191 0.002386 0.006164 0.009602 0.028799 0.103020 0.403328 0.276768 0.335329 0.657412 0.410621 0.793087 0.973166 0.106675 0.169796 0.153175 0.617817 1.461202 1.792983

8.349923

X . KY / Em

0.000203 0.002279 0.002191 0.004777 0.000879 0.006947 0.001788 0.007971 0.008785 0.009663

0.000298 0.000418 0.000203 0.002191 0.002386 0.006164 0.009602 0.028799 0.103020 0.403328 0.276768 0.335329 0.657412 0.410621 0.793087 0.973166 0.106675 0.169796 0.153175 0.617817 1.461202 1.792983

8.349923

Y 0.725 4.315 7.550 10.975 16.700 18.900 2.150 10.050 14.650 18.500 5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025

16.075 19.725

Y 0.725 4.315 7.550 10.975 16.700 18.900 2.150 10.050 14.650 18.500 5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025 16.075 19.725

b) CALCULO DE CENTRO DE MASA PISO 1°: Centro de masa MURO

L

h

t

γm

PESO "P"

1X

1.45 2.73 1.50 2.25 1.50 1.90 4.30 4.10 3.10 2.70 1.70 1.60 1.45 2.65 1.65 2.65 3.05 8.4 2.85 3.05 3.05 3.05 3.05 3.05 3.05 3.05 2.9 2.9 1.95 4.30 4.30 4.30

2.50

0.23 0.23 0.23 0.23 0.13 0.23 0.23 0.23 0.23 0.23 0.13 0.13 0.23 0.23 0.23 0.23 0.23 0.23 0.13 0.23 0.13 0.13 0.23 0.13 0.23 0.23 0.13 0.13 0.23 0.13 0.23 0.23

1800

1500.750

1800

2825.550

1800

1552.500

1800

2328.750

1800

877.500

1800

1966.500

1800

4450.500

1800

4243.500

1800

3208.500

1800

2794.500

1800

994.500

1800

936.000

1800

1500.750

1800

2742.750

1800

1707.750

1800

2742.750

1800

3156.750

1800

8694.000

1800

1667.250

1800

3156.750

1800

1784.250

1800

1784.250

1800

3156.750

1800

1784.250

1800

3156.750

1800

3156.750

1800

1696.500

1800

1696.500

1800

2018.250

1800

2515.500

1800

4450.500

1800

4450.500

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50

84698.550 Xcm = Ycm =

10.0862 4.145

PISO 2°: Centro de masa MURO

L

h

t

γm

PESO "P"

1X 2X 3X 4X 5X

1.45 2.73 1.50 2.25 1.50

2.50

0.23 0.23 0.23 0.23 0.13

1800

1500.750

1800

2825.550

1800

1552.500

1800

2328.750

1800

877.500

2.50 2.50 2.50 2.50

6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

1.90 4.30 4.10 3.10 2.70 1.70 1.60 1.45 2.65 1.65 2.65 3.05 8.4 2.85 3.05 3.05 3.05 3.05 3.05 3.05 3.05 2.9 2.9 1.95 4.30 4.30 4.30

2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50

2.5 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.50

0.23 0.23 0.23 0.23 0.23 0.13 0.13 0.23 0.23 0.23 0.23 0.23 0.23 0.13 0.23 0.13 0.13 0.23 0.13 0.23 0.23 0.13 0.13 0.23 0.13 0.23 0.23

1800

1966.500

1800

4450.500

1800

4243.500

1800

3208.500

1800

2794.500

1800

994.500

1800

936.000

1800

1500.750

1800

2742.750

1800

1707.750

1800

2742.750

1800

3156.750

1800

8694

1800

1667.250

1800

3156.750

1800

1784.250

1800

1784.250

1800

3156.750

1800

1784.250

1800

3156.750

1800

3156.750

1800

1696.500

1800

1696.500

1800

2018.250

1800

2515.500

1800

4450.500

1800

4450.500

84698.550 Xcm = Ycm =

10.0862 4.1445

c) CALCULO DEL MOMENTO POLAR DE INERCIA ( J ) PISO 1° : Momento polar de inercia MURO

Yi-Ycr = Ỹ

Ỹ²

(Kx/Em)*Ỹ²

Xi-Xcr = X

X²

1X

-4.1409 -4.1409 -4.1409 -4.1409 -1.2909 -4.1409 -0.0409 -0.0409 -0.0409 -0.0409 1.3091

17.1471 17.1471 17.1471 17.1471 1.6664 17.1471 0.0017 0.0017 0.0017 0.0017 1.7137

0.15361 0.67774 0.16769 0.44713 0.00921 0.30199 0.00015 0.00014 0.00009 0.00006 0.01300

-9.1540 -5.5640 -2.3290 1.0960 6.8210 9.0210 -7.7290 0.1710 4.7710 8.6210 -4.8790

83.7957 30.9581 5.4242 1.2012 46.5260 81.3784 59.7374 0.0292 22.7624 74.3216 23.8046

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X

12X 13X 14x 15x 16x 17x

1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

1.3091 4.0091 4.0091 4.0091 4.0091 4.0091 -0.06590 -2.8409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 2.6841 2.6841 3.1591 1.9841 1.9841 1.9841

1.7137 16.0729 16.0729 16.0729 16.0729 16.0729 0.00434 8.0707 7.5125 7.5125 7.5125 7.5125 7.5125 7.5125 7.5125 7.2044 7.2044 9.9799 3.9367 3.9367 3.9367

0.01117 0.14399 0.59734 0.20027 0.59734 0.79298 0.00001 0.00081 0.00443 0.00080 0.00080 0.00443 0.00080 0.00443 0.00443 0.00073 0.00073 0.00376 0.00059 0.00327 0.00327

-2.4290 -9.1540 -5.6040 -2.4040 2.1460 6.3960 -9.75400 -5.6540 -1.7040 0.0460 2.1460 3.4460 4.8460 6.1960 9.8460 -5.6540 -3.1540 -1.7040 2.1460 6.1960 9.8460

5.9000 83.7957 31.4048 5.7792 4.6053 40.9088 95.14052 31.9677 2.9036 0.0021 4.6053 11.8749 23.4837 38.3904 96.9437 31.9677 9.9477 2.9036 4.6053 38.3904 96.9437

PISO 1° : Momento polar de inercia MURO

Yi-Ycr = Ỹ

Ỹ²

(Kx/Em)*Ỹ²

Xi-Xcr = X

X²

1X

-4.1409 -4.1409 -4.1409 -4.1409 -1.2909 -4.1409 -0.0409 -0.0409 -0.0409 -0.0409 1.3091 1.3091 4.0091 4.0091 4.0091 4.0091 4.0091 -0.0659 -2.8409

17.1471 17.1471 17.1471 17.1471 1.6664 17.1471 0.0017 0.0017 0.0017 0.0017 1.7137 1.7137 16.0729 16.0729 16.0729 16.0729 16.0729 0.0043 8.0707

0.15361 0.67774 0.16769 0.44713 0.00921 0.30199 0.00015 0.00014 0.00009 0.00006 0.01300 0.01117 0.14399 0.59734 0.20027 0.59734 0.79298 0.00001 0.00081

-9.1540 -5.5640 -2.3290 1.0960 6.8210 9.0210 -7.7290 0.1710 4.7710 8.6210 -4.8790 -2.4290 -9.1540 -5.6040 -2.4040 2.1460 6.3960 -9.7540 -5.6540

83.7957 30.9581 5.4242 1.2012 46.5260 81.3784 59.7374 0.0292 22.7624 74.3216 23.8046 5.9000 83.7957 31.4048 5.7792 4.6053 40.9088 95.1405 31.9677

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y

3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

-2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 2.6841 2.6841 3.1591 1.9841 1.9841 1.9841

7.5125 7.5125 7.5125 7.5125 7.5125 7.5125 7.5125 7.2044 7.2044 9.9799 3.9367 3.9367 3.9367

0.00443 0.00080 0.00080 0.00443 0.00080 0.00443 0.00443 0.00073 0.00073 0.00376 0.00059 0.00327 0.00327

-1.7040 0.0460 2.1460 3.4460 4.8460 6.1960 9.8460 -5.6540 -3.1540 -1.7040 2.1460 6.1960 9.8460

d) CALCULO DE MOMENTO TORSOR Y EXCENTRICIDADES PISO 1°

PISO 2°

DESCRIPCION VALORES

DESCRIPCION VALORES

Vx(1) Vy(1) Fx(1) Fx(2) Fy(1) Fy(2) Xcm Ycm Xcr Ycr dx dy J(1) PESO NIVEL Cx Cy Tx Ty Mtx(1) Mtx(2) Mty(1) Mty(2) ex ey eaccx eaccy

398033.797 398033.797 187075.885 210957.912 187075.885 210957.912 10.0862 4.145 9.8790 4.2659 19.8500 8.4000 48.9328 727236.72 2.5 2.5 0.1100 0.1100 215495.6398 -118852.7497 477511.9121 -312585.1750 0.2072 -0.1214 0.9925 0.4200

Vx(2) Vy(2) Fx(2) Fy(2) Xcm Ycm Xcr Ycr dx dy J(2) PESO NIVEL Cx Cy Tx Ty Mtx(1) Mtx(2) Mty(1) Mty(2) ex ey eaccx eaccy

210957.912 210957.912 210957.912 210957.912 10.086 4.145 9.8790 4.2659 19.8500 8.4000 48.9328 410002.70 2.5000 2.5000 0.1100 0.1100 114212.6889 -62991.9572 253081.3129 -165670.1424 0.2072 -0.1214 0.9925 0.4200

2.9036 0.0021 4.6053 11.8749 23.4837 38.3904 96.9437 31.9677 9.9477 2.9036 4.6053 38.3904 96.9437

e) CALCULO DE LOS INCREMENTOS DE CORTANTES POR TORSION ( Δ ) PISO 1°: Incrementos de cortantes por torsión ( ) DIRECCION X MURO

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

Kx / Em

Ky / Em

Y = Yi - Ycr

X = Xi - Xcr

ΔV1x

0.008959 0.039525 0.009780 0.026076 0.005528 0.017612 0.090899 0.084061 0.050915 0.038635 0.007588 0.006518 0.008959 0.037165 0.012460 0.037165 0.049337 0.001625 0.000100 0.000590 0.000107 0.000107 0.000590 0.000107 0.000590 0.000590 0.000102 0.000102 0.000377 0.000151 0.000832 0.000832

0.000280 0.000528 0.000290 0.000435 0.000053 0.000368 0.000832 0.000793 0.000600 0.000522 0.000060 0.000056 0.000280 0.000513 0.000319 0.000513 0.000590 0.230390 0.024384 0.049337 0.027886 0.027886 0.049337 0.027886 0.049337 0.049337 0.025248 0.025248 0.018737 0.051378 0.090899 0.090899

-4.1409 -4.1409 -4.1409 -4.1409 -1.2909 -4.1409 -0.0409 -0.0409 -0.0409 -0.0409 1.3091 1.3091 4.0091 4.0091 4.0091 4.0091 4.0091 -0.0659 -2.8409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 2.6841 2.6841 3.1591 1.9841 1.9841 1.9841

-9.1540 -5.5640 -2.3290 1.0960 6.8210 9.0210 -7.7290 0.1710 4.7710 8.6210 -4.8790 -2.4290 -9.1540 -5.6040 -2.4040 2.1460 6.3960 -9.7540 -5.6540 -1.7040 0.0460 2.1460 3.4460 4.8460 6.1960 9.8460 -5.6540 -3.1540 -1.7040 2.1460 6.1960 9.8460

-163.3715 -720.7900 -178.3408 -475.5292 -31.4242 -321.1697 -16.3727 -15.1411 -9.1709 -6.9590 43.7439 37.5744 158.1715 656.1690 219.9945 656.1690 871.0739 -0.4716 -1.2509 -7.1217 -1.2915 -1.2915 -7.1217 -1.2915 -7.1217 -7.1217 1.2026 1.2026 5.2480 1.3181 7.2682 7.2682

0.537981

0.845220

PISO 2°: Incrementos de cortantes por torsión ( ) DIRECCION X MURO

1X 2X 3X 4X

Kx / Em

0.008959 0.039525 0.009780 0.026076

Ky / Em

Y = Yi - Ycr

X = Xi - Xcr

ΔV1x

0.000280 0.000528 0.000290 0.000435

-4.1409 -4.1409 -4.1409 -4.1409

-9.1540 -5.5640 -2.3290 1.0960

-86.5869 -382.0187 -94.5206 -252.0305

5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

0.005528 0.017612 0.090899 0.084061 0.050915 0.038635 0.007588 0.006518 0.008959 0.037165 0.012460 0.037165 0.049337 0.001625 0.000100 0.000590 0.000107 0.000107 0.000590 0.000107 0.000590 0.000590 0.000102 0.000102 0.000377 0.000151 0.000832 0.000832

0.000053 0.000368 0.000832 0.000793 0.000600 0.000522 0.000060 0.000056 0.000280 0.000513 0.000319 0.000513 0.000590 0.230390 0.024384 0.049337 0.027886 0.027886 0.049337 0.027886 0.049337 0.049337 0.025248 0.025248 0.018737 0.051378 0.090899 0.090899

0.537981

0.845220

-1.2909 -4.1409 -0.0409 -0.0409 -0.0409 -0.0409 1.3091 1.3091 4.0091 4.0091 4.0091 4.0091 4.0091 -0.0659 -2.8409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 -2.7409 2.6841 2.6841 3.1591 1.9841 1.9841 1.9841

6.8210 9.0210 -7.7290 0.1710 4.7710 8.6210 -4.8790 -2.4290 -9.1540 -5.6040 -2.4040 2.1460 6.3960 -9.7540 -5.6540 -1.7040 0.0460 2.1460 3.4460 4.8460 6.1960 9.8460 -5.6540 -3.1540 -1.7040 2.1460 6.1960 9.8460

-16.6548 -170.2200 -8.6775 -8.0248 -4.8606 -3.6883 23.1843 19.9144 83.8309 347.7696 116.5971 347.7696 461.6692 -0.2499 -0.6630 -3.7745 -0.6845 -0.6845 -3.7745 -0.6845 -3.7745 -3.7745 0.6374 0.6374 2.7814 0.6986 3.8521 3.8521

f) CALCULOS DE CORTANTES DE DISEÑO EN LA DIRECCION "X" PISO 1°: Cortantes de diseño en la dirección "x" Vx1 = 398033.797 MURO

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X

Vtras

6628.212 29243.471 7235.538 19292.891 4089.652 13030.310 67253.071 62193.961 37670.506 28584.928 5613.839 4822.077

ΔV1x

-163.3715 -720.7900 -178.3408 -475.5292 -31.4242 -321.1697 -16.3727 -15.1411 -9.1709 -6.9590 43.7439 37.5744

ΔV2x

90.1046 397.5388 98.3607 262.2696 17.3314 177.1354 9.0301 8.3508 5.0580 3.8381 -24.1262 -20.7235

ΔVx (Asumido)

Vx (diseño)

90.1046 397.5388 98.3607 262.2696 17.3314 177.1354 9.0301 8.3508 5.0580 3.8381 43.7439 37.5744

6718.316 29641.010 7333.898 19555.161 4106.983 13207.445 67262.101 62202.312 37675.564 28588.766 5657.583 4859.652

13X 14x 15x 16x 17x

1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

6628.212 27496.900 9218.916 27496.900 36502.536 1202.230 73.972 436.524 79.163 79.163 436.524 79.163 436.524 436.524 75.270 75.270 279.089 111.607 615.427 615.427

158.1715 656.1690 219.9945 656.1690 871.0739 -0.4716 -1.2509 -7.1217 -1.2915 -1.2915 -7.1217 -1.2915 -7.1217 -7.1217 1.2026 1.2026 5.2480 1.3181 7.2682 7.2682

-87.2367 -361.8982 -121.3340 -361.8982 -480.4252 0.2601 0.6899 3.9279 0.7123 0.7123 3.9279 0.7123 3.9279 3.9279 -0.6632 -0.6632 -2.8944 -0.7270 -4.0086 -4.0086

158.1715 656.1690 219.9945 656.1690 871.0739 0.2601 0.6899 3.9279 0.7123 0.7123 3.9279 0.7123 3.9279 3.9279 1.2026 1.2026 5.2480 1.3181 7.2682 7.2682

6786.383 28153.069 9438.910 28153.069 37373.610 1202.490 74.662 440.452 79.875 79.875 440.452 79.875 440.452 440.452 76.472 76.472 284.337 112.925 622.695 622.695

ΔVx (Asumido)

Vx (diseño)

47.7554 210.6956 52.1311 139.0029 9.1857 93.8818 4.7859 4.4259 2.6808 2.0342 23.1843 19.9144 83.8309 347.7696 116.5971 347.7696 461.6692

356.071 1570.974 388.697 1036.424 217.670 699.995 3564.891 3296.723 1996.805 1515.205 299.852 257.562 359.678 1492.113 500.262 1492.113 1980.801

PISO 2°: Cortantes de diseño en la dirección "x" Vx2 = 210957.912 MURO

1X 2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y

Vtras

3512.952 15499.040 3834.835 10225.232 2167.515 6906.064 35644.128 32962.799 19965.368 15150.012 2975.334 2555.701 3512.952 14573.357 4886.025 14573.357 19346.344 637.181836

39.205 231.358 41.956

ΔV1x

-86.5869 -382.0187 -94.5206 -252.0305 -16.6548 -170.2200 -8.6775 -8.0248 -4.8606 -3.6883 23.1843 19.9144 83.8309 347.7696 116.5971 347.7696 461.6692

ΔV2x

47.75544 210.69556 52.13114 139.00287 9.18567 93.88176 4.78594 4.42592 2.68075 2.03419 -12.78688 -10.98345 -46.23544 -191.80607 -64.30703 -191.80607 -254.62535

-0.24993893 0.137849326 0.137849326 637.3196853

-0.6630 -3.7745 -0.6845

0.36564 2.08177 0.37753

0.3656 2.0818 0.3775

39.571 233.439 42.334

5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

41.956 231.358 41.956 231.358 231.358 39.893 39.893 147.917 59.152 326.176 326.176

-0.6845 -3.7745 -0.6845 -3.7745 -3.7745 0.6374 0.6374 2.7814 0.6986 3.8521 3.8521

0.37753 2.08177 0.37753 2.08177 2.08177 -0.35152 -0.35152 -1.53404 -0.38529 -2.12457 -2.12457

0.3775 2.0818 0.3775 2.0818 2.0818 0.6374 0.6374 2.7814 0.6986 3.8521 3.8521

42.334 233.439 42.334 233.439 233.439 40.530 40.530 150.699 59.850 330.029 330.029

g) CALCULOS DE CORTANTES DE DISEÑO EN LA DIRECCION Y PISO 1°: Cortantes de diseño en la dirección "Y" Vy1 = 398033.797 MURO

Vtras

1X

132.091 248.696 136.646 204.969 24.781 173.085 391.718 373.499 282.402 245.963 28.085 26.433 132.091 241.408 150.311 241.408 277.847 108496.160 11482.780 23233.805 13132.151 13132.151 23233.805 13132.151 23233.805 23233.805 11890.070 11890.070

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y

ΔV1y

ΔV2y

-25.0564 16.4022 -28.6740 18.7704 -6.5948 4.3170 4.6551 -3.0473 3.5026 -2.2929 32.3554 -21.1803 -62.7380 41.0691 1.3235 -0.8664 27.9197 -18.2766 43.9400 -28.7637 -2.8394 1.8587 -1.3305 0.8709 -25.0564 16.4022 -28.0339 18.3513 -7.4879 4.9016 10.7353 -7.0275 36.8254 -24.1064 -21929.5958 14355.3833 -1345.3533 880.6848 -820.3958 537.0412 12.5178 -8.1943 583.9815 -382.2815 1659.0869 -1086.0587 1318.7206 -863.2507 2983.0825 -1952.7625 4740.3858 -3103.1149 -1393.0725 911.9224 -777.1048 508.7024

ΔVy (Asumido)

Vy (diseño)

16.4022 18.7704 4.3170 4.6551 3.5026 32.3554 41.0691 1.3235 27.9197 43.9400 1.8587 0.0616 16.4022 18.3513 4.9016 10.7353 36.8254 14355.3833 880.6848 537.0412 12.5178 583.9815 1659.0869 1318.7206 2983.0825 4740.3858 911.9224 508.7024

1.485 2.675 1.410 2.096 0.283 2.054 4.328 3.748 3.103 2.899 0.299 0.265 1.485 2.598 1.552 2.521 3.147 1228.515 123.635 237.708 131.447 137.161 248.929 144.509 262.169 279.742 128.020 123.988

12Y 13Y 14Y 15Y

8823.706 24194.962 42806.472 42806.472

-311.5689 1075.9403 5496.0965 8733.7906

203.9569 -704.3238 -3597.8124 -5717.2468

203.9569 1075.9403 5496.0965 8733.7906

90.277 252.709 483.026 515.403

2º PISO: CALCULOS DE CORTANTES DE DISEÑO EN LA DIRECCION Y VY2 = 210957.912 MURO

Vtras

ΔV1Y

ΔV2Y

ΔVY (Asumido)

Vy (diseño)

1X

70.008 131.809 72.422 108.634 13.134 91.735 207.611 197.954 149.673 130.360 14.885 14.009 70.008 127.946 79.665 127.946 147.259 57502.965 6085.873 12313.917 6960.040 6960.040 12313.917 6960.040 12313.917 12313.917 6301.737 6301.737 4676.564 12823.330 22687.430 22687.430

-13.2799 -15.1972 -3.4952 2.4672 1.8564 17.1484 -33.2512 0.7014 14.7974 23.2882 -1.5049 -0.7051 -13.2799 -14.8580 -3.9686 5.6897 19.5175 -11622.6857 -713.0372 -434.8098 6.6344 309.5102 879.3160 698.9219 1581.0337 2512.4045 -738.3284 -411.8656 -165.1315 570.2484 2912.9312 4628.9090

8.6932 9.9483 2.2880 -1.6151 -1.2152 -11.2255 21.7666 -0.4592 -9.6866 -15.2448 0.9851 0.4616 8.6932 9.7262 2.5979 -3.7246 -12.7764 7608.3531 466.7630 284.6318 -4.3430 -202.6092 -575.6111 -457.5229 -1034.9641 -1644.6509 483.3189 269.6123 108.0971 -373.2916 -1906.8406 -3030.1408

8.6932 9.9483 2.2880 2.4672 1.8564 17.1484 21.7666 0.7014 14.7974 23.2882 0.9851 0.4616 8.6932 9.7262 2.5979 5.6897 19.5175 7608.3531 466.7630 284.6318 6.6344 309.5102 879.3160 698.9219 1581.0337 2512.4045 483.3189 269.6123 108.0971 570.2484 2912.9312 4628.9090

78.701 141.757 74.710 111.101 14.990 108.883 229.377 198.656 164.470 153.648 15.870 14.471 78.701 137.672 82.262 133.636 166.776 65111.318 6552.636 12598.549 6966.674 7269.550 13193.233 7658.962 13894.951 14826.321 6785.056 6571.349 4784.661 13393.578 25600.361 27316.339

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11X 12X 13X 14X 15X

h)

RESUMEN CORTANTES DE DISEÑO

NIVELES MURO

1°

2°

1X

671.83 2964.10 733.39 1955.52 410.70 1320.74 6726.21 6220.23 3767.56 2858.88 565.76 485.97 678.64 2815.31 943.89 2815.31 3737.36 1228.52 123.63 237.71 131.45 137.16 248.93 144.51 262.17 279.74 128.02 123.99 90.28 252.71 483.03 515.40

356.07 1570.97 388.70 1036.42 217.67 699.99 3564.89 3296.72 1996.80 1515.20 299.85 257.56 359.68 1492.11 500.26 1492.11 1980.80 6511.13 655.26 1259.85 696.67 726.96 1319.32 765.90 1389.50 1482.63 678.51 657.13 478.47 1339.36 2560.04 2731.63

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

14x 15x 16x 17x 1Y 2Y 3Y

4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

X

Y

P.X

P.Y

0.725 4.315 7.550 10.975 16.700 18.900 2.150 10.050 14.650 18.500 5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025 16.075 19.725

0.125 0.125 0.125 0.125 2.975 0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.200 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250

1088.04375

187.59375

12192.24825

353.19375

11721.375

194.0625

25558.03125

291.09375

14654.25

2610.5625

37166.85

245.8125

9568.575

18803.3625

42647.175

17928.7875

47004.525

13555.9125

51698.25

11806.7625

4972.5

5544.3375

6973.2

5218.2

1088.04375

12418.70625

11725.25625

22696.25625

12765.43125

14131.63125

32981.56875

22696.25625

51376.10625

26122.10625

1086.75

36514.8

7044.13125

2375.83125

25806.43125

4814.04375

17708.68125

2720.98125

21455.60625

2720.98125

42063.69375

4814.04375

26273.08125

2720.98125

50744.75625

4814.04375

62266.89375

4814.04375

7167.7125

11790.675

11408.9625

11790.675

16499.19375

14985.50625

30248.8875

15721.875

71541.7875

27815.625

87786.1125

27815.625

854284.1108

351034.3688

X

Y

P.X

P.Y

0.725 4.315 7.550 10.975 16.700

0.125 0.125 0.125 0.125 2.975

1088.04375

187.59375

12192.24825

353.19375

11721.375

194.0625

25558.03125

291.09375

14654.25

2610.5625

18.900 2.150 10.050 14.650 18.500 5.000 7.450 0.725 4.275 7.475 12.025 16.275 0.125 4.225 8.175 9.925 12.025 13.325 14.725 16.075 19.725 4.225 6.725 8.175 12.025 16.075 19.725

0.125 4.225 4.225 4.225 4.225 5.575 5.575 8.275 8.275 8.275 8.275 8.275 4.2 1.425 1.525 1.525 1.525 1.525 1.525 1.525 1.525 6.950 6.950 7.425 6.250 6.250 6.250

(Ky/Em)*X²

J

0.02350 0.01635 0.00157 0.00052 0.00245 0.02991 0.04969 0.00002 0.01365 0.03882 0.00142

0.17712 0.69409 0.16926 0.44765 0.01166 0.33190 0.04984 0.00016 0.01374 0.03888 0.01442

37166.85

245.8125

9568.575

18803.3625

42647.175

17928.7875

47004.525

13555.9125

51698.25

11806.7625

4972.5

5544.3375

6973.2

5218.2

1088.04375

12418.70625

11725.25625

22696.25625

12765.43125

14131.63125

32981.56875

22696.25625

51376.10625

26122.10625

1086.75

36514.8

7044.13125

2375.83125

25806.43125

4814.04375

17708.68125

2720.98125

21455.60625

2720.98125

42063.69375

4814.04375

26273.08125

2720.98125

50744.75625

4814.04375

62266.89375

4814.04375

7167.7125

11790.675

11408.9625

11790.675

16499.19375

14985.50625

30248.8875

15721.875

71541.7875

27815.625

87786.1125

27815.625

854284.1108

351034.3688

Xcr = Ycr =

9.879 4.2659

0.00033 0.02350 0.01610 0.00184 0.00236 0.02414 21.91945 0.77949 0.14325 0.00006 0.12842 0.58587 0.65487 1.89406 4.78288 0.80713 0.25116 0.05441 0.23661 3.48965 8.81209

0.01150 0.16750 0.61344 0.20212 0.59970 0.81712 21.91946 0.78029 0.14769 0.00086 0.12923 0.59030 0.65567 1.89849 4.78732 0.80787 0.25190 0.05817 0.23720 3.49293 8.81536

48.9328

(Ky/Em)*X²

J

0.02350 0.01635 0.00157 0.00052 0.00245 0.02991 0.04969 0.00002 0.01365 0.03882 0.00142 0.00033 0.02350 0.01610 0.00184 0.00236 0.02414 21.91945 0.77949

0.17712 0.69409 0.16926 0.44765 0.01166 0.33190 0.04984 0.00016 0.01374 0.03888 0.01442 0.01150 0.16750 0.61344 0.20212 0.59970 0.81712 21.91946 0.78029

Xcr = Ycr =

9.879 4.2659

0.14325 0.00006 0.12842 0.58587 0.65487 1.89406 4.78288 0.80713 0.25116 0.05441 0.23661 3.48965 8.81209

0.14769 0.00086 0.12923 0.59030 0.65567 1.89849 4.78732 0.80787 0.25190 0.05817 0.23720 3.49293 8.81536

48.9328

DIRECCION Y ΔV2x

ΔV1y

ΔV2y

90.1046 397.5388 98.3607 262.2696 17.3314 177.1354 9.0301 8.3508 5.0580 3.8381 -24.1262 -20.7235 -87.2367 -361.8982 -121.3340 -361.8982 -480.4252 0.2601 0.6899 3.9279 0.7123 0.7123 3.9279 0.7123 3.9279 3.9279 -0.6632 -0.6632 -2.8944 -0.7270 -4.0086 -4.0086

-25.0564 -28.6740 -6.5948 4.6551 3.5026 32.3554 -62.7380 1.3235 27.9197 43.9400 -2.8394 -1.3305 -25.0564 -28.0339 -7.4879 10.7353 36.8254 -21929.5958 -1345.3533 -820.3958 12.5178 583.9815 1659.0869 1318.7206 2983.0825 4740.3858 -1393.0725 -777.1048 -311.5689 1075.9403 5496.0965 8733.7906

16.4022 18.7704 4.3170 -3.0473 -2.2929 -21.1803 41.0691 -0.8664 -18.2766 -28.7637 1.8587 0.8709 16.4022 18.3513 4.9016 -7.0275 -24.1064 14355.3833 880.6848 537.0412 -8.1943 -382.2815 -1086.0587 -863.2507 -1952.7625 -3103.1149 911.9224 508.7024 203.9569 -704.3238 -3597.8124 -5717.2468

DIRECCION Y ΔV2x

ΔV1y

ΔV2y

47.7554 210.6956 52.1311 139.0029

-13.2799 -15.1972 -3.4952 2.4672

8.6932 9.9483 2.2880 -1.6151

9.1857 93.8818 4.7859 4.4259 2.6808 2.0342 -12.7869 -10.9834 -46.2354 -191.8061 -64.3070 -191.8061 -254.6253 0.1378 0.3656 2.0818 0.3775 0.3775 2.0818 0.3775 2.0818 2.0818 -0.3515 -0.3515 -1.5340 -0.3853 -2.1246 -2.1246

% Absorcion

1.69 7.45 1.84 4.91 1.03 3.32 16.90 15.63 9.47 7.18 1.42 1.22

1.8564 17.1484 -33.2512 0.7014 14.7974 23.2882 -1.5049 -0.7051 -13.2799 -14.8580 -3.9686 5.6897 19.5175 -11622.6857 -713.0372 -434.8098 6.6344 309.5102 879.3160 698.9219 1581.0337 2512.4045 -738.3284 -411.8656 -165.1315 570.2484 2912.9312 4628.9090

-1.2152 -11.2255 21.7666 -0.4592 -9.6866 -15.2448 0.9851 0.4616 8.6932 9.7262 2.5979 -3.7246 -12.7764 7608.3531 466.7630 284.6318 -4.3430 -202.6092 -575.6111 -457.5229 -1034.9641 -1644.6509 483.3189 269.6123 108.0971 -373.2916 -1906.8406 -3030.1408

1.70 7.07 2.37 7.07 9.39 0.30 0.02 0.11 0.02 0.02 0.11 0.02 0.11 0.11 0.02 0.02 0.07 0.03 0.16 0.16

100.94

% Absorcion

0.17% 0.74% 0.18% 0.49% 0.10% 0.33% 1.69% 1.56% 0.95% 0.72% 0.14% 0.12% 0.17% 0.71% 0.24% 0.71% 0.94% 0.30% 0.02% 0.11% 0.02%

0.02% 0.11% 0.02% 0.11% 0.11% 0.02% 0.02% 0.07% 0.03% 0.16% 0.16%

11.24%

% Absorcion

0.04 0.07 0.04 0.05 0.01 0.05 0.11 0.09 0.08 0.07 0.01 0.01 0.04 0.07 0.04 0.06 0.08 30.86 3.11 5.97 3.30 3.45 6.25 3.63 6.59 7.03 3.22 3.12

2.27 6.35 12.14 12.95

111.13

%

% Absorcion

0.04 0.07 0.04 0.05 0.01 0.05 0.11 0.09 0.08 0.07 0.01 0.01 0.04 0.07 0.04 0.06 0.08 30.86 3.11 5.97 3.30 3.45 6.25 3.63 6.59 7.03 3.22 3.12 2.27 6.35 12.14 12.95

111.13 %

DISEÑO MUROS D 1) CONTROL DE FISURACION( PISO 1°)

MURO

L (cm)

t (cm)

h (cm)

α

α asumido

Vm (kg)


145.00

23.00

250.00

0.3791

0.38

4572.26

273.00

23.00

250.00

0.7137

0.71

14996.10

150.00

23.00

250.00

0.3922

0.39

4859.63

225.00

23.00

250.00

0.5882

0.59

10339.04

150.00

13.00

250.00

0.3922

0.39

2953.75

190.00

23.00

250.00

0.4967

0.50

7509.23

430.00

23.00

250.00

1.1242

1.00

32519.70

410.00

23.00

250.00

1.0719

1.00

31029.30

310.00

23.00

250.00

0.8105

0.81

19198.64

270.00

23.00

250.00

0.7059

0.71

14678.74

170.00

13.00

250.00

0.4444

0.44

3451.50

160.00

13.00

250.00

0.4183

0.42

3088.11

145.00

23.00

250.00

0.3791

0.38

4572.26

265.00

23.00

250.00

0.6928

0.69

14157.58

165.00

23.00

250.00

0.4314

0.43

5780.17

265.00

23.00

250.00

0.6928

0.69

14157.58

305.00

23.00

250.00

0.7974

0.80

18599.56

840.00

23.00

250.00

2.1961

1.00

63521.98

285.00

13.00

250.00

0.7451

0.75

10024.80

305.00

23.00

250.00

0.7974

0.80

19191.52

305.00

13.00

250.00

0.7974

0.80

10900.63

305.00

13.00

250.00

0.7974

0.80

10854.70

305.00

23.00

250.00

0.7974

0.80

18885.33

305.00

13.00

250.00

0.7974

0.80

10783.26

305.00

23.00

250.00

0.7974

0.80

19114.97

305.00

23.00

250.00

0.7974

0.80

18997.60

290.00

13.00

250.00

0.7582

0.76

10198.50

290.00

13.00

250.00

0.7582

0.76

9928.04

195.00

23.00

250.00

0.5098

0.51

8486.43

430.00

13.00

250.00

1.1242

1.00

19176.79

430.00

23.00

250.00

1.1242

1.00

33310.68

430.00

23.00

250.00

1.1242

1.00

32917.74

ΣVmi =

502756.16

ΣVmi ≥ ΣVEi entonces 502756. ΣVmi ≥ 3ΣVEi entonces 502756.16≥ 1253156.24 no cumple el edifi

CONTROL DE FISURACION( PISO 2°)

MURO

L (cm)

t (cm)

h (cm)

α

α asumido

Vm (kg)


145.00

23.00

250.00

0.5800

0.58

6743.23

273.00

23.00

250.00

1.0920

1.00

20820.06

150.00

23.00

250.00

0.6000

0.60

7182.90

225.00

23.00

250.00

0.9000

0.90

15566.40

150.00

13.00

250.00

0.6000

0.60

4266.90

190.00

23.00

250.00

0.7600

0.76

11236.79

430.00

23.00

250.00

1.7200

1.00

32519.70

410.00

23.00

250.00

1.6400

1.00

31029.30

310.00

23.00

250.00

1.2400

1.00

23577.30

270.00

23.00

250.00

1.0800

1.00

20596.50

170.00

13.00

250.00

0.6800

0.68

5138.17

160.00

13.00

250.00

0.6400

0.64

4582.19

145.00

23.00

250.00

0.5800

0.58

6743.23

265.00

23.00

250.00

1.0600

1.00

20223.90

165.00

23.00

250.00

0.6600

0.66

8591.33

265.00

23.00

250.00

1.0600

1.00

20223.90

305.00

23.00

250.00

1.2200

1.00

23204.70

840.00

23.00

250.00

3.3600

1.00

63521.98

285.00

13.00

250.00

1.1400

1.00

13084.70

305.00

23.00

250.00

1.2200

1.00

23796.66

305.00

13.00

250.00

1.2200

1.00

13503.54

305.00

13.00

250.00

1.2200

1.00

13457.61

305.00

23.00

250.00

1.2200

1.00

23490.48

305.00

13.00

250.00

1.2200

1.00

13386.17

305.00

23.00

250.00

1.2200

1.00

23720.12

305.00

23.00

250.00

1.2200

1.00

23602.74

290.00

13.00

250.00

1.1600

1.00

13152.41

290.00

13.00

250.00

1.1600

1.00

12881.94

195.00

23.00

250.00

0.7800

1.00

15609.67

430.00

13.00

250.00

1.7200

1.00

19176.79

430.00

23.00

250.00

1.7200

1.00

33310.68

430.00

23.00

250.00

1.7200

1.00

32917.74

ΣVmi =

427320.64

ΣVmi ≥ ΣVEi entonces 427320.64≥ 221390. ΣVEi =ΣVei ΣVmi ≥ 3ΣVEi entonces 427320.64≤ 664172.806 no cumple el edificio NO SE C

ALBAÑILERIA verificacion de la necesidad de colocar refuerzo horizontal en los muros Primer Piso

C

datos: factor de amplificacion 2 ≤ ΣVm1/ΣVe1 ≤ 3 = Vui = Vei*factor de amplificación mui=Mei*factor de amplificación σm=Pm/(L*t) ≥ 0.05fm'; donde Pm=PD+PL σm: esfuerzo a la comprension axial MURO

L (cm)

t (cm)

h (cm)

ΣVm1/ΣVe

Vui

Vm (kg)

1X

145.00

23.00

250.0

880.10

4572.26

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

273.00

23.00

250.0

3882.97

14996.10

150.00

23.00

250.0

960.74

4859.63

225.00

23.00

250.0

2561.73

10339.04

150.00

13.00

250.0

538.01

2953.75

190.00

23.00

250.0

1730.18

7509.23

430.00

23.00

250.0

8811.34

32519.70

410.00

23.00

250.0

8148.50

31029.30

310.00

23.00

250.0

4935.50

19198.64

270.00

23.00

250.0

3745.13

14678.74

170.00

13.00

250.0

741.14

3451.50

160.00

13.00

250.0

636.61

3088.11

145.00

23.00

250.0

889.02

4572.26

265.00

23.00

250.0

3688.05

14157.58

165.00

23.00

250.0

1236.50

5780.17

265.00

23.00

250.0

3688.05

14157.58

305.00

23.00

250.0

4895.94

18599.56

840.00

23.00

250.0

1609.36

63521.98

285.00

13.00

250.0

161.96

10024.80

305.00

23.00

250.0

311.40

19191.52

305.00

13.00

250.0

172.20

10900.63

305.00

13.00

250.0

179.68

10854.70

305.00

23.00

250.0

326.10

18885.33

305.00

13.00

250.0

189.31

10783.26

305.00

23.00

250.0

343.44

19114.97

305.00

23.00

250.0

366.46

18997.60

290.00

13.00

250.0

167.71

10198.50

290.00

13.00

250.0

162.42

9928.04

195.00

23.00

250.0

118.26

8486.43

430.00

13.00

250.0

331.05

19176.79

430.00

23.00

250.0

632.76

33310.68

430.00

23.00

250.0

2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62 2.62

675.18

32917.74

Segundo Piso datos: factor de amplificacion 2 ≤ ΣVm1/ΣVe1 ≤ 3 = Vui = Vei*factor de amplificación mui=Mei*factor de amplificación σm=Pm/(L*t) ≥ 0.05fm'; donde Pm=PD+PL

σm: esfuerzo a la comprension axial MURO

L (cm)

t (cm)

h (cm)

ΣVm1/ΣVe

Vui

Vm (kg)

1X

145.00

23

250

356.07

6743.23

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

273.00

23

250

1570.97

20820.06

150.00

23

250

388.70

7182.90

225.00

23

250

1036.42

15566.40

150.00

13

250

217.67

4266.90

190.00

23

250

699.99

11236.79

430.00

23

250

3564.89

32519.70

410.00

23

250

3296.72

31029.30

310.00

23

250

1996.80

23577.30

270.00

23

250

1515.20

20596.50

170.00

13

250

299.85

5138.17

160.00

13

250

257.56

4582.19

145.00

23

250

359.68

6743.23

265.00

23

250

1492.11

20223.90

165.00

23

250

500.26

8591.33

265.00

23

250

1492.11

20223.90

305.00

23

250

1980.80

23204.70

840.00

23

250

6511.13

63521.98

285.00

13

250

655.26

13084.70

305.00

23

250

1259.85

23796.66

305.00

13

250

696.67

13503.54

305.00

13

250

726.96

13457.61

305.00

23

250

1319.32

23490.48

305.00

13

250

765.90

13386.17

305.00

23

250

1389.50

23720.12

305.00

23

250

1482.63

23602.74

290.00

13

250

678.51

13152.41

290.00

13

250

657.13

12881.94

195.00

23

250

478.47

15609.67

430.00

13

250

1339.36

19176.79

430.00

23

250

2560.04

33310.68

430.00

23

250

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

2731.63

32917.74

Diseño de las colunmas de confinamiento (primer piso)

MURO

L (cm)

t (cm)

h (cm)

M

F

Vm (kg)

1X

145

23

250

-234895.05

-1620

4572

2X 3X 4X 5X 6X 7X 8X

273

23

250

-389275.93

-1426

14996

150

23

250

-239970.37

-1600

4860

225

23

250

-312519.92

-1389

10339

150

13

250

-163427.73

-1090

2954

190

23

250

-276861.60

-1457

7509

430

23

250

-694626.76

-1615

32520

410

23

250

-761860.15

-1858

31029

9X 10X 11X 12X 13X 14X 15X 16X 17X 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

310

23

250

-512001.80

-1652

19199

270

23

250

-402330.34

-1490

14679

170

13

250

-147950.18

-870

3452

160

13

250

-142508.97

-891

3088

145

23

250

-231484.39

-1596

4572

265

23

250

-359017.89

-1355

14158

165

23

250

-249561.12

-1512

5780

265

23

250

-359017.89

-1355

14158

305

23

250

-452246.71

-1483

18600

840

23

250

-7324668.50

-8720

63522

285

13

250

-1191150.11

-4179

10025

305

23

250

-2279830.40

-7475

19192

305

13

250

-1296714.30

-4252

10901

305

13

250

-1288109.83

-4223

10855

305

23

250

-2235934.67

-7331

18885

305

13

250

-1275497.76

-4182

10783

305

23

250

-2258005.53

-7403

19115

305

23

250

-2234528.64

-7326

18998

290

13

250

-1210665.35

-4175

10199

290

13

250

-1178877.59

-4065

9928

195

23

250

-1015568.82

-5208

8486

430

13

250

-2270472.26

-5280

19177

430

23

250

-3921803.45

-9120

33311

430

23

250

-3856462.60

-8969

32918

Diseño de las columnas de confinamiento (segu

MURO

Asf(int)

t (cm)

h (cm)

M

F

Vm (kg)

1X

145

23

250

-753886.309

-5199

6743

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14X 15X 16X 17X 1Y 2Y

273

23

250

-2209764.116

-8094

20820

150

23

250

-800688.348

-5338

7183

225

23

250

-1686694.117

-7496

15566

150

13

250

-478944.974

-3193

4267

190

23

250

-1229599.848

-6472

11237

430

23

250

-3173739.659

-7381

32520

410

23

250

-3054481.866

-7450

31029

310

23

250

-2447961.273

-7897

23577

270

23

250

-2195761.356

-8132

20597

170

13

250

-567308.532

-3337

5138

160

13

250

-508383.114

-3177

4582

145

23

250

-752984.422

-5193

6743

265

23

250

-2154959.336

-8132

20224

165

23

250

-948850.438

-5751

8591

265

23

250

-2154959.336

-8132

20224

305

23

250

-2405387.174

-7887

23205

840

23

250

-6312463.927

-7515

63522

285

13

250

-1471771.205

-5164

13085

3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

305

23

250

-2659619.095

-8720

23797

305

13

250

-1513775.328

-4963

13504

305

13

250

-1500462.418

-4920

13458

305

23

250

-2606478.553

-8546

23490

305

13

250

-1481796.657

-4858

13386

305

23

250

-2617640.689

-8582

23720

305

23

250

-2579684.936

-8458

23603

290

13

250

-1474424.776

-5084

13152

290

13

250

-1445959.238

-4986

12882

195

23

250

-1831592.056

-9393

15610

430

13

250

-2062258.977

-4796

19177

430

23

250

-3523826.515

-8195

33311

430

23

250

-3431809.490

-7981

32918

Determinacion del refuerzo vertical (primer piso) MURO

Asf(inter)

1X

0.681

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14X 15X 16X 17X 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y

1.750 0.567 1.207 0.345 0.876 3.795 3.622 2.241 1.713 0.403 0.360 0.534 1.652 0.675 1.652 0.431 7.414 1.170 1.680 0.954 1.267 1.653 1.259 1.673 2.217 1.190 0.869 0.743 1.679 3.888

Ast(inter)

1.628 3.267 1.689 2.638 0.799 2.188 4.716 4.720 3.757 3.227 1.094 1.024 1.628 3.161 1.873 3.161 3.691 4.007 0.855 2.892 1.563 1.625 3.305 1.721 2.996 3.154 1.080 1.441 1.518 1.539 3.597

As(inter)

0.1fcÁc/fy(inter)

As(int asumido)

col inter:4 Ф

2.309

0.813

6.188

5/8''

5.017

1.438

1.677

8mm

2.256

0.813

3.291

1/2''

3.845

0.813

3.085

1/2''

1.144

0.460

6.998

5/8''

3.064

0.813

1.477

8mm

8.512

0.396

2.659

3/8''

8.342

0.813

7.667

5/8''

5.998

0.817

1.186

8mm

4.940

0.821

2.186

8mm

1.497

0.825

3.186

8mm

1.384

0.829

4.186

8mm

2.162

0.833

5.186

8mm

4.814

0.838

6.186

8mm

2.548

0.842

7.186

8mm

4.814

0.846

8.186

8mm

4.121

1.438

9.186

8mm

11.421

1.438

3.010

1/2''

2.025

0.813

3.206

1/2''

4.572

0.813

1.884

8mm

2.517

0.813

3.444

1/2''

2.892

0.813

1.570

8mm

4.958

1.001

1.800

8mm

2.980

0.813

4.209

1/2''

4.669

0.813

1.717

8mm

5.371

1.438

2.978

1/2''

2.270

1.438

1.827

8mm

2.311

1.442

2.827

8mm

2.260

1.446

3.827

8mm

3.218

1.450

4.827

8mm

7.485

1.454

5.827

8mm

15Y

3.842

4.153

7.995

1.458

6.827

8mm

Determinación de refuerzo vertical (segundo piso)

MURO

Asf(inter)

1X

2.239

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X 14X 15X 16X 17X 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

2.430 0.838 1.817 0.498 1.311 3.795 3.622 2.752 2.404 0.600 0.535 0.787 2.360 1.003 2.360 2.708 7.414 1.527 2.777 1.576 1.571 2.742 1.562 2.768 2.755 1.535 1.128 1.366 1.679 2.916 3.842

Ast(inter)

2.677 4.761 2.774 4.265 1.412 3.562 4.716 4.720 4.746 4.762 1.789 1.678 2.677 4.764 3.066 4.764 4.748 4.007 1.607 3.950 2.161 2.223 4.363 2.319 4.053 4.211 1.793 2.155 4.076 1.539 3.597 4.153

As(inter)

0.1fcÁc/fy(inter)

As(int asumido)

col inter:4 Ф

4.916

1.787

6.681

5/8''

7.191

2.520

4.432

1/2''

3.612

1.843

6.248

5/8''

6.082

2.520

7.848

5/8''

1.910

3.441

8.061

5/8''

4.873

1.843

3.944

1/2''

8.512

1.843

5.942

5/8''

8.342

3.158

8.614

5/8''

7.498

3.163

9.614

5/8''

7.166

3.169

10.614

5/8''

2.389

3.894

11.614

5/8''

2.213

3.901

12.614

5/8''

3.464

3.186

13.614

5/8''

7.125

3.192

14.614

5/8''

4.069

3.197

15.614

5/8''

7.125

3.203

16.614

5/8''

7.456

1.843

2.852

3/8''

11.421

2.520

7.406

5/8''

3.134

2.066

6.098

5/8''

6.727

1.843

5.448

5/8''

3.737

2.066

6.192

5/8''

3.793

2.995

4.938

1/2''

7.104

2.520

2.739

3/8''

3.881

2.995

8.243

5/8''

6.821

2.520

4.975

1/2''

6.966

2.520

6.089

5/8''

3.328

2.995

3.005

1/2''

3.282

3.002

4.005

1/2''

5.442

2.531

5.005

1/2''

3.218

3.018

6.005

1/2''

6.513

2.542

7.005

1/2''

7.995

2.548

8.005

1/2''

Determinación de los estribos de confinamiento (primer piso) Para columnas internos MURO S1 S2 S3 S4 1X

2X 3X

2.91 2.92 4.00

7.53 7.53 7.53

5.00 5.00 5.00

S asumido 10 10 10

5.00 5.00 5.00

S1 5.23 5.23 3.12

4X 5X 6X 7X 8X 9X 10x 11x 12x 13x 14x 15x 16x 17x 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

4.00 5.82 2.84 2.40 2.40 3.25 2.40 6.90 4.00 6.75 6.76 4.01 6.76 4.02 2.40 6.90 4.00 6.75 6.76 4.01 6.76 4.02 4.03 3.25 2.40 6.90 4.00 6.75 6.76

7.53 18.29 7.53 7.53 7.53 7.53 7.53 18.29 7.53 18.29 18.29 7.53 18.29 7.53 7.53 18.29 7.53 18.29 18.29 7.53 18.29 7.53 7.53 18.29 18.29 7.53 18.29 7.53 7.53

5.00 4.07 5.00 5.00 4.07 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10

5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00

4.18 6.15 3.47 2.58 2.78 4.00 2.90 9.71 4.19 6.75 6.75 4.00 6.75 4.00 2.90 9.71 4.19 6.75 6.75 4.00 6.75 4.00 4.00 6.75 6.75 4.00 6.75 4.00 2.90

Diseño de refuerzo de viga soleras primero piso MURO 1X

2X 3X 4X 5X 6X 7X 8X 9X 10X 11X 12X 13X

Ts

As 289.01 707.88 184.47 3176.10 501.24 959.58 545.03 542.74 944.27 539.16 955.75 949.88 509.93

0.1fc'Acs/fy As asumido 0.08 0.19 0.05 0.84 0.13 0.25 0.14 0.14 0.25 0.14 0.25 0.25 0.13

1.92 1.92 1.92 1.92 1.08 1.92 1.08 1.08 1.92 1.08 1.92 1.92 1.08

viga:4 Ф

3.66 1.92 1.57 1.92 4.26 1.25 1.31 4.87 1.25 2.25 3.25 4.25 5.25

1/2''

8mm 8mm 8mm 1/2'' 8mm 8mm 1/2'' 8mm 8mm 3/8'' 3/8'' 3/8''

segundo pis Ts 127.89 104.10 35.91 77.83 21.33 56.18 162.60 155.15 117.89 102.98 25.69 22.91 33.72

14X 15X 16X 17X 1Y 2Y 3Y 4Y 5Y 6Y 7Y 8Y 9Y 10Y 11Y 12Y 13Y 14Y 15Y

496.40 424.32 958.84 1665.53 1645.89 501.24 959.58 545.03 542.74 944.27 539.16 955.75 949.88 509.93 496.40 424.32 958.84 1665.53 1645.89

0.13 0.11 0.25 0.44 0.44 0.13 0.25 0.14 0.14 0.25 0.14 0.25 0.25 0.44 0.13 0.25 0.14 0.14 0.25

1.08 1.92 1.08 1.92 1.08 1.92 1.92 1.08 1.08 1.92 1.08 1.92 1.92 0.00 0.00 0.00 0.00 0.00 0.00

6.25 7.25 8.25 9.25 1.92 1.28 1.26 1.40 1.92 1.92 1.92 1.92 1.92 1.92 2.92 3.92 4.92 5.92 6.92

3/8'' 8mm 5/8'' 5/8'' 5/8'' 8mm 8mm 8mm 1/2'' 8mm 1/2'' 1/2'' 1/2'' 8mm 8mm 3/8'' 3/8'' 8mm 8mm

101.12 42.96 101.12 116.02 317.61 65.42 118.98 67.52 67.29 117.45 66.93 118.60 118.01 65.76 64.41 78.05 95.88 166.55 164.59

ALBAÑILERIA : 3.8250000

h=

PD (kg)

PL (kg)

Pg(kg)

Ve (kg)

Me (kg-m)

0.55Vm (kg)

2070.00

0.00

2070.00

335.916

128487.80

2514.75

2070.00

0.00

2070.00

1482.051

566884.32

8247.86

2070.00

0.00

2070.00

366.695

140260.80

2672.80

2070.00

0.00

2070.00

977.758

373992.45

5686.47

2070.00

0.00

2070.00

205.349

78546.05

1624.56

2070.00

0.00

2070.00

660.372

252592.39

4130.08

2070.00

0.00

2070.00

3363.105

1286387.69

17885.84

2070.00

0.00

2070.00

3110.116

1189619.22

17066.12

2070.00

0.00

2070.00

1883.778

720545.17

10559.25

2070.00

0.00

2070.00

1429.438

546760.14

8073.30

1170.00

0.00

1170.00

282.879

108201.27

1898.33

1170.00

0.00

1170.00

242.983

92940.84

1698.46

2070.00

0.00

2070.00

339.319

129789.58

2514.75

2070.00

0.00

2070.00

1407.653

538427.44

7786.67

2070.00

0.00

2070.00

471.946

180519.16

3179.09

2070.00

0.00

2070.00

1407.653

538427.44

7786.67

2070.00

0.00

2070.00

1868.680

714770.28

10229.76

3830.00

770.00 1391.25 1015.00 665.00 586.25 490.00 463.75 883.75 682.50 1146.25 682.50 1032.50 1365.00 1356.25 682.50

4022.50

614.258

234953.58

34937.09

4697.81

61.817

23645.13

5513.64

4643.75

118.854

45461.74

10555.34

2856.25

65.723

25139.18

5995.35

2656.56

68.581

26232.10

5970.09

3312.50

124.464

47607.66

10386.93

2345.94

72.254

27637.29

5930.79

4310.94

131.084

50139.80

10513.24

3800.63

139.871

53500.64

10448.68

4076.56

64.010

24483.81

5609.18

2900.63

61.994

23712.65

5460.42

4688.13

45.138

17265.41

4667.54

4631.25

126.355

48330.60

10547.23

5509.06

241.513

92378.66

18320.88

3800.63

257.701

98570.75

18104.76

ΣVEi =

22029.310

4350.00 4390.00 2690.00 2510.00 3190.00 2230.00 4090.00 3630.00 3790.00 2730.00 4430.00 4290.00 5170.00 3630.00

276515.89 66087.92991

.16≥ 417718.747 entonces soportara al corte ΣVEi= ΣVei io NO SE COMPORTA ELASTICAMENTE (no se podra utilizar refue rzo minimo)

2.5000000

h=

PD (kg)

PL (kg)

Pg(kg)

Ve (kg)

Me (kg-m)

0.55Vm (kg)

2070.00

0.00

2070.00

178.035

44508.8457

3708.78

2070.00

0.00

2070.00

785.487

196371.6922

11451.03

2070.00

0.00

2070.00

194.348

48587.0758

3950.60

2070.00

0.00

2070.00

518.212

129552.9415

8561.52

2070.00

0.00

2070.00

108.835

27208.7632

2346.80

2070.00

0.00

2070.00

349.997

87499.3262

6180.23

2070.00

0.00

2070.00

1782.446

445611.4203

17885.84

2070.00

0.00

2070.00

1648.361

412090.3168

17066.12

2070.00

0.00

2070.00

998.402

249600.6137

12967.52

2070.00

0.00

2070.00

757.602

189400.5720

11328.08

1170.00

0.00

1170.00

149.926

37481.4841

2825.99

1170.00

0.00

1170.00

128.781

32195.1928

2520.20

2070.00

0.00

2070.00

179.839

44959.7892

3708.78

2070.00

0.00

2070.00

746.056

186514.0818

11123.15

2070.00

0.00

2070.00

250.131

62532.7811

4725.23

2070.00

0.00

2070.00

746.056

186514.0818

11123.15

2070.00

0.00

2070.00

990.401

247600.1632

12762.59

3830.00

770.00 1391.25 1015.00 665.00 586.25 490.00 463.75 883.75 682.50 1146.25 682.50 1032.50 1365.00 1356.25 682.50

4022.50

3255.566

813891.4741

34937.09

4697.81

327.632

81907.9521

7196.58

4643.75

629.927

157481.8587

13088.16

2856.25

348.334

87083.4298

7426.95

2656.56

363.478

90869.3769

7401.69

3312.50

659.662

164915.4112

12919.76

2345.94

382.948

95737.0233

7362.39

4310.94

694.748

173686.8822

13046.06

3800.63

741.316

185329.0164

12981.51

4076.56

339.253

84813.1978

7233.83

2900.63

328.567

82141.8652

7085.07

4688.13

239.233

59808.2686

8585.32

4631.25

669.679

167419.7304

10547.23

5509.06

1280.018

320004.5161

18320.88

3800.63

1365.817

341454.2391

18104.76

4350.00 4390.00 2690.00 2510.00 3190.00 2230.00 4090.00 3630.00 3790.00 2730.00 4430.00 4290.00 5170.00 3630.00

ΣVEi = 35 entonces soportara al corte

22139.094 66417.2806

MPORTA ELASTICAMENTE (no se podra utilizar refuerzo minimo)

NFINADA

entonces el factor de amplificacion sera :2.62

Mui

Vui ≥ Vm (kg)

Pm(kg)

Ve (kg)

Me (kg-m)

σm (kg)

336638

ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok! ok!

2070

335.92

128487.80

0.62

2070

1482.05

566884.32

0.33

2070

366.69

140260.80

0.60

2070

977.76

373992.45

0.40

2070

205.35

78546.05

1.06

2070

660.37

252592.39

0.47

2070

3363.11

1286387.69

0.21

2070

3110.12

1189619.22

0.22

2070

1883.78

720545.17

0.29

2070

1429.44

546760.14

0.33

1170

282.88

108201.27

0.53

1170

242.98

92940.84

0.56

2070

339.32

129789.58

0.62

2070

1407.65

538427.44

0.34

2070

471.95

180519.16

0.55

2070

1407.65

538427.44

0.34

2070

1868.68

714770.28

0.30

4600

614.26

234953.58

0.24

5741

61.82

23645.13

1.55

5405

118.85

45461.74

0.77

3355

65.72

25139.18

0.85

3096

68.58

26232.10

0.78

3680

124.46

47607.66

0.52

2694

72.25

27637.29

0.68

4974

131.08

50139.80

0.71

4313

139.87

53500.64

0.61

4936

64.01

24483.81

1.31

3413

61.99

23712.65

0.91

5463

45.14

17265.41

1.22

5655

126.35

48330.60

1.01

6526

241.51

92378.66

0.66

4313

257.70

98570.75

0.44

1485237 367483 979860 205791 661792 3370336 3116802 1887828 1432512 283487 243505 340049 1410680 472960 1410680 1872698 615578 61950 119110 65865 68728 124732 72410 131366 140172 64148 62127 45235 126626 242032 258255

entonces el factor de amplificacion sera :2

Mui

Vui ≥ Vm (kg)

Pm(kg)

Ve (kg)

Me (kg-m)

σm (kg)

89018

2070

178.04

44508.85

0.62

2070

785.49

196371.69

0.33

2070

194.35

48587.08

0.60

2070

518.21

129552.94

0.40

2070

108.84

27208.76

1.06

2070

350.00

87499.33

0.47

2070

1782.45

445611.42

0.21

2070

1648.36

412090.32

0.22

2070

998.40

249600.61

0.29

2070

757.60

189400.57

0.33

1170

149.93

37481.48

0.53

1170

128.78

32195.19

0.56

2070

179.84

44959.79

0.62

2070

746.06

186514.08

0.34

2070

250.13

62532.78

0.55

2070

746.06

186514.08

0.34

2070

990.40

247600.16

0.30

4600

3255.57

813891.47

0.24

5741

327.63

81907.95

1.55

5405

629.93

157481.86

0.77

3355

348.33

87083.43

0.85

3096

363.48

90869.38

0.78

3680

659.66

164915.41

0.52

2694

382.95

95737.02

0.68

4974

694.75

173686.88

0.71

4313

741.32

185329.02

0.61

4936

339.25

84813.20

1.31

3413

328.57

82141.87

0.91

5463

239.23

59808.27

1.22

5655

669.68

167419.73

1.01

6526

1280.02

320004.52

0.66

682908

no no no no no no ok! ok! no no no no no no no no no ok! no no no no no no no no no no no no no no

4313

1365.82

341454.24

0.44

Mui

Nc

Lm

Pc

Vc (inter)

Vc (exter)

336638

2

185

2070

1945

2916.79

1485237

2

273

2070

4999

7498.05

367483

2

150

2070

1620

2429.81

979860

2

225

2070

3446

5169.52

205791

2

150

2070

985

1476.87

661792

2

190

2070

2503

3754.61

3370336

2

430

2070

10840

16259.85

3116802

2

410

2070

10343

15514.65

392743 97174 259106 54418 174999 891223 824181 499201 378801 74963 64390 89920 373028 125066 373028 495200 1627783 163816 314964 174167 181739 329831 191474 347374 370658 169626 164284 119617 334839 640009

1887828

2

310

2070

6400

9599.32

1432512

2

270

2070

4893

7339.37

283487

2

170

1170

1151

1725.75

243505

2

160

1170

1029

1544.06

340049

2

145

2070

1524

2286.13

1410680

2

265

2070

4719

7078.79

472960

2

165

2070

1927

2890.09

1410680

2

265

2070

4719

7078.79

1872698

2

61

2070

1230

1844.71

615578

2

840

4600

21174

31760.99

61950

2

285

5741

3342

5012.40

119110

3

305

5405

4798

7196.82

65865

3

305

3355

2725

4087.74

68728

2

305

3096

3618

5427.35

124732

3

305

3680

4721

7082.00

72410

2

305

2694

3594

5391.63

131366

3

305

4974

4779

7168.12

140172

2

305

4313

6333

9498.80

64148

2

290

4936

3400

5099.25

62127

3

290

3413

2482

3723.01

45235

3

195

5463

2122

3182.41

126626

3

430

5655

4794

7191.30

242032

2

430

6526

11104

16655.34

258255

2

430

4313

10973

16458.87

Mui

Nc

Lm

Pc

Vc (inter)

Vc (exter)

89018

3

550

2070

6394

9591.67

392743

2

273

2070

6940

10410.03

97174

2

150

2070

2394

3591.45

259106

2

225

2070

5189

7783.20

54418

2

150

2070

1422

2133.45

174999

2

190

2070

3746

5618.39

891223

2

430

2070

10840

16259.85

824181

2

410

2070

10343

15514.65

499201

2

310

2070

7859

11788.65

378801

2

270

2070

6866

10298.25

74963

2

170

1170

1713

2569.09

64390

2

160

1170

1527

2291.09

89920

2

145

2070

2248

3371.62

373028

2

265

2070

6741

10111.95

125066

2

165

2070

2864

4295.66

373028

2

265

2070

6741

10111.95

495200

2

305

2070

7735

11602.35

1627783

2

840

4600

21174

31760.99

163816

2

285

5741

4362

6542.35

do piso)

314964

2

305

5405

7932

11898.33

174167

2

305

3355

4501

6751.77

181739

2

305

3096

4486

6728.80

329831

2

305

3680

7830

11745.24

191474

2

305

2694

4462

6693.08

347374

2

305

4974

7907

11860.06

370658

2

305

4313

7868

11801.37

169626

2

290

4936

4384

6576.20

164284

3

290

3413

3220

4830.73

119617

3

195

5463

3902

5853.63

334839

3

430

5655

4794

7191.30

640009

3

430

6526

8328

12491.51

682908

2

430

4313

10973

16458.87

Asf(exter)

Ast(exter)

As(exter)

0.1fcÁc/fy(inter)

Vc (inter)

Vc (exter)

1.02

-1.03

-0.01

4.06

1945

2917

2.63

-0.98

1.65

4.06

4999

7498

0.85

-1.03

-0.18

1.84

1620

2430

1.81

-0.97

0.84

2.69

3446

5170

0.52

-0.89

-0.37

2.14

985

1477

1.31

-0.99

0.33

2.09

2503

3755

5.69

-1.03

4.66

2.26

10840

16260

5.43

-1.10

4.33

2.99

10343

15515

3.36

-1.04

2.32

2.52

6400

9599

2.57

-1.00

1.57

3.66

4893

7339

0.60

-0.57

0.03

2.52

1151

1726

0.54

-0.58

-0.04

2.70

1029

1544

0.80

-1.03

-0.23

2.99

1524

2286

2.48

-0.96

1.52

2.99

4719

7079

1.01

-1.00

0.01

2.52

1927

2890

2.48

-0.96

1.52

2.99

4719

7079

0.65

-1.00

-0.35

2.52

1230

1845

11.12

-3.73

7.39

3.66

21174

31761

1.76

-2.78

-1.02

2.52

3342

5012

2.52

-3.61

-1.09

2.70

4798

7197

1.43

-2.13

-0.70

2.99

2725

4088

1.90

-2.05

-0.15

2.99

3618

5427

2.48

-3.08

-0.60

2.52

4721

7082

1.89

-1.93

-0.04

2.99

3594

5392

2.51

-3.47

-0.96

2.52

4779

7168

3.33

-3.26

0.07

2.52

6333

9499

1.79

-2.55

-0.77

0.00

3400

5099

1.30

-2.09

-0.79

0.00

2482

3723

1.11

-2.99

-1.87

0.00

2122

3182

2.52

-3.06

-0.55

0.00

4794

7191

5.83

-4.38

1.45

0.00

11104

16655

5.76

-3.72

2.04

0.00

10973

16459

Asf(exter)

Ast(exter)

As(exter)

0.1fcÁc/fy(inter)

Vc (inter)

Vc (exter)

3.36

-2.04

1.32

2.68

6394

9592

3.64

-2.85

0.80

2.52

6940

10410

1.26

-2.08

-0.82

2.46

2394

3591

2.73

-2.68

0.05

2.81

5189

7783

0.75

-1.47

-0.73

5.00

1422

2133

1.97

-2.39

-0.43

1.84

3746

5618

5.69

-2.65

3.05

2.30

10840

16260

5.43

-2.67

2.77

4.45

10343

15515

4.13

-2.79

1.34

4.45

7859

11789

3.61

-2.86

0.75

4.46

6866

10298

0.90

-1.26

-0.36

5.67

1713

2569

0.80

-1.22

-0.42

5.67

1527

2291

1.18

-2.03

-0.85

4.48

2248

3372

3.54

-2.86

0.68

4.48

6741

10112

1.50

-2.19

-0.69

4.49

2864

4296

3.54

-2.86

0.68

4.49

6741

10112

4.06

-2.79

1.27

1.84

7735

11602

11.12

-3.39

7.73

2.60

21174

31761

2.29

-3.05

-0.76

2.57

4362

6542

4.17

-3.96

0.21

2.27

7932

11898

2.36

-2.33

0.03

2.68

4501

6752

2.36

-2.25

0.11

2.99

4486

6729

4.11

-3.42

0.69

2.52

7830

11745

2.34

-2.12

0.23

3.18

4462

6693

4.15

-3.80

0.36

2.52

7907

11860

4.13

-3.58

0.55

2.52

7868

11801

2.30

-2.81

-0.50

2.99

4384

6576

1.69

-2.35

-0.66

3.00

3220

4831

2.05

-4.16

-2.11

2.53

3902

5854

2.52

-2.93

-0.41

3.02

4794

7191

4.37

-4.12

0.25

2.54

8328

12492

5.76

-3.44

2.32

2.55

10973

16459

Para columnas exteriores S3 S4 S asumido

S2 7.53 7.53 7.53

6.84 5.00 5.00

10 10 10

5.68 4.00 5.00

7.53 18.29 7.53 7.53 7.53 7.53 7.53 18.29 7.53 18.29 18.29 7.53 18.29 7.53 7.53 18.29 7.53 18.29 18.29 7.53 18.29 7.53 7.53 18.29 18.29 7.53 18.29 7.53 7.53

As

5.00 4.58 5.00 5.00 6.04 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 6.04 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10

0.1fc'Acs/fy As asumido 0.03 0.03 0.01 0.02 0.01 0.01 0.04 0.04 0.03 0.03 0.01 0.01 0.01

1.92 1.92 1.92 1.92 1.08 1.92 1.92 1.92 1.92 1.92 1.08 1.92 1.08

3.93 1.92 2.63 3.12 4.75 1.48 2.4 5.41 1.25 2.25 3.25 4.25 5.25

4.00 6.83 5.00 5.00 7.01 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 4.18 5.00 5.00 5.00 4.00 4.00 4.48 4.00 4.19 4.19 4.19 4.19 4.19 4.19 4.19

viga:4 Ф

1/2''

8mm 3/8'' 1/2'' 1/2'' 8mm 3/8'' 5/8'' 8mm 8mm 3/8'' 8mm 3/8''

0.03 0.01 0.03 0.03 0.08 0.02 0.03 0.02 0.02 0.03 0.02 0.03 0.03 0.02 0.02 0.02 0.03 0.04 0.04

1.08 1.92 1.08 1.92 1.92 1.08 1.92 1.08 1.08 1.92 1.08 1.92 1.92 1.08 1.08 1.92 1.08 1.92 1.92

6.25 7.25 8.25 9.25 2.83 2.28 2.36 2.39 1.92 1.92 2.91 1.92 1.92 1.92 2.92 3.92 4.92 5.92 6.92

3/8'' 8mm 8mm 8mm 3/8'' 3/8'' 3/8'' 3/8'' 8mm 8mm 3/8'' 8mm 8mm 1/2'' 1/2'' 1/2'' 8mm 8mm 8mm

Ve ≤ 0.55Vm (kg)


Ve ≤ 0.55Vm (kg)


0.05fm'

2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25

σm=Pm/(L*t) ≥ 0.05fm lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo

ρ 0.0007 0.0007 0.0007 0.0007 0.0012 0.0007 0.0007 0.0007 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0007 0.0012 0.0007 0.0012 0.0012 0.0007 0.0012 0.0007 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010

As =2 Ф 1/4''

0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64

s

40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40

0.05fm'

2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25

σm=Pm/(L*t) ≥ 0.05fm lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo lleva refuerzo

ρ 0.0007 0.0007 0.0007 0.0007 0.0012 0.0007 0.0007 0.0007 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0007 0.0012 0.0007 0.0012 0.0012 0.0007 0.0012 0.0007 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010 0.0010

T(int)

T(ext)

C(int)

5813.22

-3690

11662.69

-3496

6029.38

-3670

9417.82

-3459

2852.91

-3160

7810.57

-3527

16836.80

-3685

16850.30

-3928

-1871.60751 -4796.34745 -1979.69118 -3673.91176 -391.455882 -2870.28251 -7383.40116 -7390.15244

As =2 Ф 1/4''

s

0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64 0.64

C(ext)

40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40

(int sin muro tra (int con muro tra

450 644 470 681 980 613 455 212

-119.86 -154.97 -121.16 -141.50 -102.09 -131.85 -186.03 -186.11

-95.32 -123.41 -96.36 -112.63 -81.11 -104.91 -148.26 -148.32

13412.78

-3722

11521.42

-3560

3905.74

-2040

3655.17

-2061

5813.22

-3666

11286.21

-3425

6687.83

-3582

11286.21

-3425

13175.54

-3553

14305.35

-13320

3052.44

-9921

10325.76

-12880

5579.94

-7607

5801.05

-7320

11799.78

-11011

6144.99

-6876

10694.26

-12377

11259.31

-11639

3855.56

-9111

5146.15

-7478

5417.54

-10671

5494.30

-10935

12840.43

-15647

14825.72

-13281

-5671.38757 -4725.71078 -1367.86765 -1242.58732 -1871.60751 -4608.10488 -2308.91711 -4608.10488 -5552.77001 -4852.67485 1344.40669 -2460.37759 -1112.47197 -1352.39897 -4059.89091 -1725.61875 -2860.25592 -3473.40269 540.343322 -866.826667 22.4785539 80.3524709 -3157.08848 -5256.61156

T(int)

T(ext)

C(int)

9556.26

-7269

16995.99

-10164

9901.50

-7408

15226.00

-9566

5041.50

-5263

12715.25

-8542

16836.80

-9451

16850.30

-9520

16943.95

-9967

17000.83

-10202

6386.14

-4507

5989.67

-4347

9556.26

-7263

17009.15

-10202

10947.16

-7821

17009.15

-10202

16950.25

-9957

14305.35

-12115

5736.55

-10905

-3743.13103 -7462.99451 -3915.75 -6578 -1485.75 -5322.62368 -7383.40116 -7390.15244 -7436.97581 -7465.41667 -2608.06765 -2409.83438 -3743.13103 -7469.57547 -4438.58182 -7469.57547 -7440.12295 -4852.67485 2.34786184

418 580 300 279 474 715 558 715 587 -4120 1562 -2070 -897 -1127 -3651 -1488 -2430 -3014 762 -653 254 375 -2594 -4656

C(ext)

-3129 -6024 -3268 -5426 -1123 -4402 -5311 -5380 -5827 -6062 -2167 -2007 -3123 -6062 -3681 -6062 -5817 -2915 577

-165.48 -154.13 -113.82 -112.31 -119.86 -152.71 -125.11 -152.71 -164.06 -155.65 -81.26 -126.93 -110.75 -113.63 -146.13 -118.11 -131.73 -139.09 -90.91 -107.80 -97.13 -96.43 -135.30 -160.50

-131.82 -122.73 -90.49 -89.28 -95.32 -121.60 -99.52 -121.60 -130.68 -123.95 -64.44 -100.98 -88.03 -90.34 -116.34 -93.92 -104.82 -110.71 -72.16 -85.67 -77.13 -76.58 -107.67 -127.83

(int sin muro tra (int con muro tra

-142.33 -186.99 -144.40 -176.36 -115.23 -161.29 -186.03 -186.11 -186.67 -187.02 -128.70 -126.32 -142.33 -187.07 -150.68 -187.07 -186.71 -155.65 -97.37

-113.30 -149.02 -114.95 -140.52 -91.62 -128.47 -148.26 -148.32 -148.77 -149.04 -102.40 -100.49 -113.30 -149.08 -119.98 -149.08 -148.80 -123.95 -77.33

14100.46

-14125

7713.47

-8318

7934.58

-8016

15574.49

-12226

8278.52

-7552

14468.97

-13556

15034.01

-12770

6402.03

-10020

7692.62

-8399

14549.90

-14855

5494.30

-10451

12840.43

-14721

14825.72

-12293

-4347.73053 -2179.23668 -2419.16368 -5947.24385 -2792.38345 -4747.60886 -5360.75564 -732.891972 -2140.06196 -4543.69792 80.3524709 -3157.08848 -5256.61156

-3315 -1608 -1823 -4866 -2165 -3609 -4145 -148 -1574 -3930 859 -1669 -3668

T(int)

T(ext)

As(ext asumido)

col inter:4 Ф

5813

-3690

7.08

5/8''

11663

-3496

2.52

3/8''

6029

-3670

2.96

1/2''

9418

-3459

2.52

3/8''

2853

-3160

7.26

5/8''

7811

-3527

1.94

8mm

16837

-3685

2.19

1/2''

16850

-3928

8.88

3/4''

13413

-3722

1.94

8mm

11521

-3560

2.94

1/2''

3906

-2040

3.94

8mm

3655

-2061

4.94

8mm

5813

-3666

5.94

3/4''

11286

-3425

6.94

3/4''

6688

-3582

7.94

8mm

11286

-3425

8.94

1/2''

13176

-3553

9.94

8mm

14305

-13320

9.29

3/4''

3052

-9921

8.52

3/4''

10326

-12880

6.40

5/8''

5580

-7607

9.05

3/4''

5801

-7320

5.17

1/2''

11800

-11011

2.52

3/8''

6145

-6876

13.06

5/8''

10694

-12377

6.35

5/8''

11259

-11639

11.02

3/4''

3856

-9111

3.56

1/2''

5146

-7478

4.56

1/2''

5418

-10671

5.56

8mm

5494

-10935

6.56

8mm

12840

-15647

7.56

8mm

-149.59 -123.56 -126.44 -168.79 -130.92 -154.39 -161.75 -106.19 -123.09 -151.94 -96.43 -135.30 -160.50

-119.10 -98.28 -100.58 -134.46 -104.17 -122.94 -128.83 -84.39 -97.90 -120.99 -76.58 -107.67 -127.83

14826

-13281

8.56

1/2''

T(int)

T(ext)

As(ext asumido)

col inter:4 Ф

9556

-7269

2.97

1/2''

16996

-10164

2.52

3/8''

9902

-7408

2.70

3/4''

15226

-9566

2.81

3/4''

5042

-5263

4.57

1/2''

12715

-8542

1.94

8mm

16837

-9451

2.50

3/8''

16850

-9520

5.15

1/2''

16944

-9967

6.15

1/2''

17001

-10202

7.15

3/4''

6386

-4507

8.15

1/2''

5990

-4347

9.15

8mm

9556

-7263

10.15

1/2''

17009

-10202

11.15

1/2''

10947

-7821

12.15

1/2''

17009

-10202

13.15

1/2''

16950

-9957

1.94

8mm

14305

-12115

2.60

3/8''

5737

-10905

2.39

3/8''

14100

-14125

2.46

8mm

7713

-8318

2.49

5/8''

7935

-8016

2.52

5/8''

15574

-12226

2.52

8mm

8279

-7552

2.66

3/8''

14469

-13556

2.52

1/2''

15034

-12770

2.52

1/2''

6402

-10020

2.52

3/8''

7693

-8399

3.52

3/8''

14550

-14855

4.52

5/8''

5494

-10451

5.52

5/8''

12840

-14721

6.52

5/8''

14826

-12293

7.52

3/8''

Acf (int)

65.36 168.02 54.45 115.84 33.10 84.14 364.37 347.67

15t

Acf (asumi)

345 345 345 345 195 345 345 345

195.00 345 195 195 110.5 195 95 195

del nucleo asu

(area de seccio

195.00 345.00 195.00 195.00 110.50 195.00 95.00 195.00

401.82 604.76 401.82 401.82 283.21 401.82 266.53 401.82

b

(ext sin muro tra

12.72 17.90 12.72 12.72 11.82 12.72 9.28 12.72

-91.99 -89.66 -91.75 -89.22 -85.62 -90.04 -91.94 -94.85

215.11 164.47 38.67 34.60 51.23 158.63 64.76 158.63 41.34 711.73 112.32 161.27 91.60 121.62 158.70 120.82 160.63 212.86 114.27 83.43 71.31 161.15 373.23 368.83

Acf (int)

214.94 233.28 80.48 174.41 47.81 125.90 364.37 347.67 264.17 230.77 57.57 51.34 75.55 226.60 96.26 226.60 260.00 711.73 146.61

345 345 195 195 345 345 345 345 345 345 195 345 195 195 345 195 345 345 195 195 345 195 345 345

15t

196 197 198 199 200 201 202 203 345 153.15 195 195 195 195 240.17 195 195 345 345 346 347 348 349 350

Acf (asumi)

345 345 345 345 195 345 345 345 345 345 195 195 345 345 345 345 345 345 195

214.94 345 225 345 402.73 225 225 458.17 459.17 460.17 461.17 462.17 463.17 464.17 465.17 466.17 225 345 225

196.00 197.00 198.00 199.00 200.00 201.00 202.00 203.00 345.00 345.00 195.00 195.00 195.00 195.00 240.17 195.00 195.00 345.00 345.00 346.00 347.00 348.00 349.00 350.00

403.18 404.53 445.71 447.57 408.59 409.94 411.29 412.65 604.76 604.76 440.14 401.82 440.14 440.14 462.94 440.14 401.82 604.76 718.71 720.57 607.47 724.29 610.18 611.53

del nucleo asu

(area de seccio

214.94 345.00 225.00 345.00 402.73 225.00 225.00 458.17 459.17 460.17 461.17 462.17 463.17 464.17 465.17 466.17 225.00 345.00 225.00

428.80 604.76 442.41 604.76 825.93 442.41 442.41 757.88 759.23 760.58 934.46 936.32 764.64 765.99 767.35 768.70 442.41 604.76 495.86

12.76 12.79 16.42 16.47 12.90 12.93 12.97 13.00 17.90 17.90 16.26 12.72 16.26 16.26 14.28 16.26 12.72 17.90 24.16 24.21 17.97 24.32 18.03 18.07

b

-92.37 -90.43 -93.80 -94.04 -91.71 -88.81 -90.70 -88.81 -90.35 -146.85 -78.65 -122.24 -108.16 -110.93 -141.22 -115.26 -126.56 -133.58 -88.25 -105.23 -94.34 -92.90 -128.54 -153.29

(ext sin muro tra

13.41 17.90 13.76 17.90 27.20 13.76 13.76 21.80 21.83 21.87 30.27 30.32 21.97 22.01 22.04 22.07 13.76 17.90 17.84

-134.96 -169.72 -136.63 -162.54 -110.88 -150.24 -161.15 -161.98 -167.34 -170.17 -123.41 -121.49 -134.89 -170.17 -141.58 -170.17 -167.22 -132.39 -90.47

266.63 151.30 150.79 263.20 149.99 265.77 264.46 147.37 108.25 131.17 161.15 279.92 368.83

345 195 195 345 195 345 345 195 195 345 195 345 345

225 225 345 345 345 345 345 345 346 347 348 349 350

225.00 225.00 345.00 345.00 345.00 345.00 345.00 345.00 346.00 347.00 348.00 349.00 350.00

442.41 495.86 718.71 604.76 718.71 604.76 604.76 718.71 720.57 607.47 724.29 610.18 611.53

13.76 17.84 24.16 17.90 24.16 17.90 17.90 24.16 24.21 17.97 24.32 18.03 18.07

-137.19 -116.70 -119.28 -155.81 -123.38 -140.72 -147.16 -99.17 -116.29 -144.58 -87.08 -117.43 -141.43

(ext con muro tra

-73.03 -71.16 -72.83 -70.81 -67.93 -71.46 -72.98 -75.31

Acf (int)

98.0433463 252.035342 81.6744439 173.765398 49.6428077 126.205536 546.54958 521.50084

15t

Acf (asumi)

345 345 345 345 195 345 345 345

348.37 345 225 345 541.02 225 225 619.08

del nucleo asu

(area de seccio

348.37 345 225 345 541.02 225 225 619.08

609.32 604.76 442.41 604.76 1082.75 442.41 442.41 975.58

b

18.01 17.90 13.76 17.90 34.47 13.76 13.76 27.35

-73.33 -71.78 -74.47 -74.67 -72.80 -70.48 -71.99 -70.48 -71.71 -116.91 -62.35 -97.23 -85.96 -88.17 -112.41 -91.64 -100.68 -106.29 -70.03 -83.62 -74.90 -73.75 -102.26 -122.06

(ext con muro tra

-107.40 -135.21 -108.73 -129.46 -88.13 -119.62 -128.35 -129.02 -133.31 -135.57 -98.16 -96.63 -107.34 -135.57 -112.70 -135.57 -133.21 -105.34 -71.81

322.666238 246.701434 58.0084034 51.9010381 76.844785 237.942561 97.1457242 237.942561 62.0070703 1067.59622 168.48408 241.909933 137.40292 182.431991 238.050426 181.231256 240.945056 319.287438 171.40342 125.143334 106.97185 241.724212 559.843435 553.239391

Acf (int)

322.408948 349.916975 120.721008 261.620168 71.712605 188.85358 546.54958 521.50084 396.257143 346.159664 86.3558319 77.011563 113.33163 339.897479 144.392067 339.897479 389.994958 1067.59622 219.910872

345 345 195 195 345 345 345 345 345 345 195 345 195 195 345 195 345 345 195 195 345 195 345 345

15t

619.08 619.08 619.08 619.08 619.08 619.08 619.08 619.08 225 345 225 225 225 345 345 345 345 345 345 345 345 345 345 345

Acf (asumi)

345 345 345 345 195 345 345 345 345 345 195 195 345 345 345 345 345 345 195

374.2 345 334.62 396.67 604.09 225 305.48 687.25 688.25 689.25 690.25 691.25 692.25 693.25 694.25 695.25 225 359.42 290.23

619.08 619.08 619.08 619.08 619.08 619.08 619.08 619.08 225 374.68 234.45 267.99 249.92 345 345 431.58 345 377.17 345 345 345 345 345 345

975.58 975.58 1227.72 1227.72 975.58 975.58 975.58 975.58 442.41 644.92 513.41 500.57 542.14 718.71 604.76 879.51 604.76 648.29 718.71 718.71 604.76 718.71 604.76 604.76

del nucleo asu

(area de seccio

374.2 345 334.62 396.67 604.09 225 305.48 687.25 688.25 689.25 690.25 691.25 692.25 693.25 694.25 695.25 225 359.42 290.23

644.27 604.76 590.72 674.67 1199.88 442.41 551.30 1067.81 1069.16 1070.51 1359.89 1361.75 1074.57 1075.93 1077.28 1078.63 442.41 624.27 617.00

27.35 27.35 38.58 38.58 27.35 27.35 27.35 27.35 13.76 18.92 18.34 15.24 19.15 24.16 17.90 28.71 17.90 19.01 24.16 24.16 17.90 24.16 17.90 17.90

b

18.90 17.90 17.54 19.68 37.79 13.76 16.53 29.70 29.73 29.77 42.33 42.38 29.87 29.91 29.94 29.97 13.76 18.39 21.28

Albañileria

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