Diseño de Vigas Secundarias

2080.3651

-0.1

9946

5716

8299

2

-2225.000 0.213 2225.000

-0.0

8974

3589

7435

897

0

-0.0

8974

3589

7435

897

-2225.000 0.213 2225.000

-0.0

8588

9570

5521

472

-322.4885

-0.1

0736

1963

1901

84

-1424.000 0.267 1424.000

-0.1

0736

1963

1901

84

322.4885

-0.0

8588

9570

5521

472

-2225.000 0.213 2225.000

-0.1

9946

5716

8299

2

-2080.3651

1 2 3 4 5-0.301 -0.321 -0.307 -0.307 -0.301

mi= 2080.36509 0 -322.488497 322.488497 -2080.365090 0 1337.75249 -194.501512 -127.499774 340.861224 -1274.11261

-35.64726512 1638.90887 -227.187081 -128.919787 256.969739 -1433.55844-15.11368 1609.43258 -249.640935 -110.18969 256.268054 -1390.90343

-12.55663276 1621.8534 -255.50566 -105.031444 244.06271 -1383.19899-9.600079455 1624.0143 -258.007503 -102.459368 240.759017 -1382.21547-7.784977054 1624.62031 -259.031079 -101.884683 239.90628 -1382.19225

-6.6482269 1624.76116 -259.41794 -101.844198 239.623208 -1382.29262

-5.928387445

0.32

1 1624.75601

0.76

2 -259.579134

0.76

2 -101.896574

0.76

2 239.498102

0.32

1 -1382.3794-5.467913373 -0.165 1624.72152 -0.390 -259.658678 -0.390 -101.948053 -0.390 239.43008 -0.165 -1382.43952-5.170616298 1624.69019 -259.703848 -101.985346 239.388871 -1382.47921-4.977245758 1624.6674 -259.731653 -102.010489 239.362703 -1382.50517-4.850753459 1624.65189 -259.74944 -102.027116 239.345747 -1382.52216-4.767643429 1624.64155 -259.761021 -102.038071 239.334654 -1382.53332-4.712847643 1624.63471 -259.768625 -102.045294 239.327358 -1382.54066-4.676620426

-0.188 -0.195 -0.190 -0.190 -0.188

2470.9747

-0.1

2458

2869

8553

95

-4231.250 0.213 4231.250

-0.0

5468

75

322.5708

-0.0

5468

75

-5489.583 0.213 5489.583

-0.0

5323

1939

1634

981

-694.0738

-0.0

6653

9923

9543

726

-2708.000 0.267 2708.000

-0.0

6653

9923

9543

726

567.2321

-0.0

5323

1939

1634

981

-4981.250 0.213 4981.250

-0.1

2458

2869

8553

95

-2908.9613

6 7 8 9 10-0.188 -0.195 -0.190 -0.190 -0.188

2470.97469 322.570801 -694.073788 567.232058 -2908.961350 1633.64334 321.27641 -651.075775 651.111871 -2287.09377

0 1732.88293 379.449817 -697.020378 670.955077 -2449.09223-24.47572434 1703.89944 386.468453 -714.505595 694.438664 -2469.18433-17.42726773 1697.64515 389.268289 -720.874728 699.19468 -2473.22078-12.44284845 1695.47409 389.756882 -723.120411 699.682977 -2474.5472-9.651698535 1694.54803 389.626787 -723.982362 699.448367 -2475.16211-7.647424961 1694.10207 389.399977 -724.387247 699.182809 -2475.51015-6.262033892

0.32

1 1693.86336

0.76

2 389.212004

0.76

2 -724.613839

0.76

2 698.986405

0.32

1 -2475.72544-5.319846985 -0.165 1693.72309 -0.390 389.078822 -0.390 -724.753107 -0.390 698.853333 -0.165 -2475.86332-4.684755651 1693.63554 388.989027 -724.842303 698.765185 -2475.95293-4.258755091 1693.57912 388.929416 -724.90045 698.707058 -2476.01164-3.973676603 1693.54219 388.889987 -724.938671 698.668701 -2476.05027-3.783094736 1693.51785 388.863898 -724.963908 698.643341 -2476.07579-3.655735227 1693.50173 388.846612 -724.98062 698.626541 -2476.09269-3.570635379

-3.51377377

-0.188 -0.195 -0.190 -0.190 -0.1882908.9613

-0.1

2458

2869

8553

95

-4981.250 0.213 4981.250-0

.054

6875

-61.95068

-0.0

5468

75

-4739.583 0.213 4739.583

-0.0

53 -387.1584

-0.0

67 -3188.000 0.267 3188.000

-0.0

67 260.3167

-0.0

53 -4231.250 0.213 4231.250

-0.1

25 -2470.9747

11 12 13 14 15-0.188 -0.195 -0.190 -0.190 -0.188

2908.96135 -61.9506836 -387.158389 260.316659 -2470.974690 2140.09731 -306.816498 -129.593264 141.913559 -1401.54408

0 2257.78851 -326.900235 -92.8435032 42.9889295 -1380.32845-24.53425006 2266.48708 -336.265072 -81.0447824 30.4911472 -1377.22712-20.15192275 2268.28635 -339.621274 -79.3536829 27.3948912 -1377.21607-17.84824703 2268.47019 -340.8629 -79.348359 26.3353791 -1377.6271-15.84336944 2268.26932 -341.470702 -79.6356709 25.8070307 -1378.01847-14.42167398 2268.03472 -341.828904 -79.9078668 25.4799539 -1378.3164-13.39548398

0.32

1 2267.84567

0.76

2 -342.060312

0.76

2 -80.1133716

0.76

2 25.2613956

0.32

1 -1378.529-12.66012413 -0.165 2267.70852 -0.390 -342.215181 -0.390 -80.2584888 -0.390 25.1127845 -0.165 -1378.67668-12.13918695 2267.61303 -342.319844 -80.3584009 25.0116966 -1378.77786

-11.774305 2267.54774 -342.390631 -80.4264181 24.9431514 -1378.84665-11.5212435 2267.50347 -342.438427 -80.4724543 24.8968202 -1378.89319

-11.34714586 2267.47358 -342.470635 -80.5035068 24.8655836 -1378.92457-11.22813425 2267.45346 -342.4923 -80.5244055 24.8445649 -1378.9457-11.14718214-11.09232999

-0.212 -0.221 -0.215 -0.215 -0.212

2503.5255

-0.1

40 -3804.167 0.213 3804.167

-0.0

6194

6902

6548

673

441.6137

-0.0

6194

6902

6548

673

-5325.000 0.213 5325.000

-0.0

6008

5836

9098

712

-708.919

-0.0

7510

7296

1373

391

-2808.000 0.267 2808.000

-0.0

7510

7296

1373

391

708.919

-0.0

6008

5836

9098

712

-5325.000 0.213 5325.000

-0.1

4039

4860

5452

84

-3504.3873

16 17 18 19 20-0.148 -0.155 -0.150 -0.150 -0.148

0 2503.52554 441.613662 -708.918991 708.918991 -3504.387340 1988.82526 430.207189 -760.203626 946.126323 -3340.74658

-17.86851842 1973.36679 446.980202 -778.96469 966.880358 -3340.3125-22.71830107 1968.96303 450.268588 -783.464874 969.662295 -3341.56799-22.39933332 1967.58622 450.816112 -784.611878 969.946048 -3342.1447-21.95450761 1966.9805 450.686938 -785.123621 969.749448 -3342.52011-21.46614305 1966.66808 450.482296 -785.413349 969.528701 -3342.77938-21.09295331 1966.47411 450.30668 -785.604077 969.352522 -3342.96396-20.81891444

0.22

5 1966.34262

0.53

3 450.172707

0.53

3 -785.737662

0.53

3 969.221579

0.22

5 -3343.09673-20.61989564 -0.165 1966.25078 -0.390 450.074861 -0.390 -785.832492 -0.390 969.126886 -0.165 -3343.19186-20.47696952 1966.18637 450.005021 -785.899513 969.059558 -3343.25936

-20.3755697 1966.14144 449.955926 -785.946447 969.01231 -3343.30672-20.30446309 1966.11034 449.921805 -785.979011 968.979503 -3343.33962-20.25509959 1966.08897 449.898297 -786.001425 968.956913 -3343.3623-20.22111171 1966.07437 449.88221 -786.016754 968.94146 -3343.37781

-20.1978626

N12

FACTOR DE CARGA EN EL NUDO

P12

FACTOR DE TRANSMISION DE EFECTO "ALFA"

Q12

MOMENTO DE EMPOTRAMIENTO

N13

NUDO

N14


O23

RIGIDEZ SIMPLIFICADA DE TAKABEYA

M24

FACTOR DE TRANSMISION DE EFECTO "BETA"

21 22 23 24 25

ANALISIS ESTRUCTURAL DE PORTICOS METODO TAKABEYAPORTICO SECUNDARIO EJE - B

PRESENTADO POR: GUIDO CHAMBILLA CHAMBILLA

1.- RIGIDECES SIMPLIFICADAS: KijC=

ELEMENTOS HORIZONTALES (VIGAS)

BARRA L(m) b(m) h(m) I(m4) Kij

1 a 2 5 0.2 0.4 0.00107 0.213

2 a 3 5 0.2 0.4 0.00107 0.2133 a 4 4 0.2 0.4 0.00107 0.2674 a 5 5 0.2 0.4 0.00107 0.213

6 a 7 5 0.2 0.4 0.00107 0.2137 a 8 5 0.2 0.4 0.00107 0.2138 a 9 4 0.2 0.4 0.00107 0.267

9 a 10 5 0.2 0.4 0.00107 0.213

11 a 12 5 0.2 0.4 0.00107 0.21312 a 13 5 0.2 0.4 0.00107 0.21313 a 14 4 0.2 0.4 0.00107 0.26714 a 15 5 0.2 0.4 0.00107 0.213

16 a 17 5 0.2 0.4 0.00107 0.21317 a 18 5 0.2 0.4 0.00107 0.21318 a 19 4 0.2 0.4 0.00107 0.26719 a 20 5 0.2 0.4 0.00107 0.213

ELEMENTOS VERTICALES (COLUMNAS)

BARRA L(m) b(m) t(m) I(m4) Kij

1 a 6 2.8 0.4 0.3 0.00090 0.3212 a 7 2.8 0.4 0.4 0.00213 0.7623 a 8 2.8 0.4 0.4 0.00213 0.7624 a 9 2.8 0.4 0.4 0.00213 0.762

5 a 10 2.8 0.4 0.3 0.00090 0.321

6 a 11 2.8 0.4 0.3 0.00090 0.3217 a 12 2.8 0.4 0.4 0.00213 0.7628 a 13 2.8 0.4 0.4 0.00213 0.7629 a 14 2.8 0.4 0.4 0.00213 0.762

10 a 15 2.8 0.4 0.3 0.00090 0.321

ESCUELA PROFESIONAL: INGENIERIA CIVIL

G10

CONSTANTE DE SIMPLIFICACION

C12

INGRESE LONGITUD

D12

INGRESE BASE

E12

INGRESE ALTURA

F12

MOMENTO DE INERCIA

G12

RIGIDEZ SIMPLIFICADA

C36

INGRESE ALTURA DE COLUMNA

D36

INGRESE BASE

E36

INGRESE ANCHO

11 a 16 2.8 0.4 0.3 0.00090 0.32112 a 17 2.8 0.4 0.4 0.00213 0.76213 a 18 2.8 0.4 0.4 0.00213 0.76214 a 19 2.8 0.4 0.4 0.00213 0.76215 a 20 2.8 0.4 0.3 0.00090 0.321

16 a 21 4 0.4 0.3 0.00090 0.22517 a 22 4 0.4 0.4 0.00213 0.53318 a 23 4 0.4 0.4 0.00213 0.533

19 a 24 4 0.4 0.4 0.00213 0.53320 a 25 4 0.4 0.3 0.00090 0.225

PORTICO A ANALIZAR DAMERO 2

ANALISIS ESTRUCTURAL DE PORTICOS METODO TAKABEYA

CODIGO: 041310

0.001

2080.3651

-0.1

99

46

57

16

82

99

2

-2225.000 0.213

1-0.301

mi= 2080.365090 0 1206.12248

-28.25220694 1431.58642-4.335459885 1363.43148

-0.31930401 1359.004023.2623888044 1355.282555.4353414929 1354.098926.8172980778 1353.70674

7.7057157838

0.3

21 1353.54217

8.2804124096 -0.165 1353.456968.6543547039 1353.406828.8989237567 1353.375369.0595638623 1353.355049.1654445762 1353.341739.2354283135 1353.332979.2817894322

-0.188

2908.9613

-0.1

24

58

28

69

85

53

95

-4981.250 0.213

6-0.188

2908.961350 2226.45671

0 2409.72448-28.8297062 2414.0549

-21.72909901 2418.51284-15.50305449 2419.28867-11.61588785 2419.12186-8.908629465 2418.83976-7.083588043

0.3

21 2418.61403

-5.858387152 -0.165 2418.4561-5.037212955 2418.34983

NOTA.- El analisis de los porticos por el metodo de takabeya se realizo en la siguiente hoja de calculo tanto del portico principal como del portico secundario los

resultados obtenidos se muestran en el trabajo presentado INGENIERIA CIVIL

Intrucciones.- solo ingrese valores en las celdas que tienen fondo color:

N12


P12


Q12


N13

NUDO

N14


O23


M24


-4.487564164 2418.27916-4.119973239 2418.23229-3.874252871 2418.20121-3.710035786 2418.18057-3.600298586-3.526969368

-0.1882470.9747

-0.1

24

58

28

69

85

53

95

-4231.250 0.213

11-0.188

2470.974690 1427.11924

0 1453.27346-20.78471305 1437.03195-13.87077931 1432.68318-10.64450306 1431.14621-7.970896872 1430.4001-6.021990059 1429.96175-4.610150614

0.3

21 1429.67933

-3.606643498 -0.165 1429.49096-2.90337704 1429.36408-2.41563592 1429.27848

-2.080080011 1429.22079-1.850670527 1429.18197-1.694598999 1429.15588-1.588827653

-1.51736009

-0.212

3120.4951

-0.1

40 -4741.667 0.213

16-0.148

0 3120.495140 2833.05156

3.4328282679 2864.343075.4970028881 2868.659397.6436603965 2869.183498.5684551241 2868.976969.2573610281 2868.705719.7684234088 2868.4777210.146396324

0.2

25 2868.30676

10.420506399 -0.165 2868.1840310.615664076 2868.09777

10.75265309 2868.0379110.84777663 2867.99674

10.913279623 2867.9686

10.958093273 2867.9494610.988597259

210

ESQUEMA DE CORTANTES Y MOMENTOS FINALES

2.33931068

2498.377

1 -1650.252 2922.233

1650.252

2.38452391

1992.5185701.451

6 -4005.291 6797.688

2012.773

S117

PUNTO DONDE LA CORTANTE = 0

S118

CARGA

Q120

CORTANTE FINAL 1-2

N121

NUDO

Q121

MOMENTO FINAL 1-2

S121

MOMENTO MAXIMO (+)

N122

MOMENTO FINAL 1-6

2.38442031

1694.8694842.652

11 -3534.952 5773.332

1840.083

2.35922276

2302.5555369.455

16 -3595.597 6333.709

1293.042

647.761

21

HOJA DE ITERACIONES

2225.000

-0.0

89

74

35

89

74

35

89

7

0-0

.08

97

43

58

97

43

58

97

-2225.000 0.213

2-0.321

0-59.4444974-29.9211727-20.3003614-13.7564704-12.2653787-12.1300646-12.2185373

0.7

62 -12.3171289

-0.390 -12.3912141-12.4418792-12.4755585-12.4977819-12.5124396-12.5221227

-0.195

4981.250

-0.0

54

68

75

-61.95068

-0.0

54

68

75

-4739.583 0.213

7-0.195

-61.9506836-213.929166-232.139879-252.212907-257.534156-259.449098

-260.30171-260.765938

0.7

62 -261.047523

-0.390 -261.226749-261.343255

El analisis de los porticos por el metodo de takabeya se realizo en la siguiente hoja de calculo tanto del portico principal como del portico secundario los

resultados obtenidos se muestran en el trabajo presentado

solo ingrese valores en las celdas que tienen fondo color:

-261.419736-261.4702

-261.503603-261.525759

-0.1954231.250

-0.0

54

68

75

322.5708

-0.0

54

68

75

-5489.583 0.213

12-0.195

322.570801344.351656399.931665407.376442407.869669407.405581406.880887406.473414

0.7

62 406.18406

-0.390 405.98454405.848626405.756605405.694525405.652742405.624667

-0.221

4741.667

-0.0

61

94

69

02

65

48

67

3

-102.8415

-0.0

61

94

69

02

65

48

67

3

-4387.500 0.213

17-0.155

-102.841538-337.434484-356.301859-360.607692-361.824608-362.431363-362.813229-363.080585

0.5

33 -363.271292

-0.390 -363.40643-363.501181-363.566972-363.612287-363.643298

-363.664411

220


2.5391068

-2841.623 2711.649

-2508.365 2 -2297.088 3442.435

-211.278

2.5262275

-401.010-6253.549 5745.681

-5385.537 7 -4892.347 7255.572

-92.181

2.5142635

416.115-5312.348 6624.749

-4709.193 12 -5465.135 8327.761

339.826

2.532106

-246.293-6010.545 5327.926

-5198.324 17 -4569.962 6739.506

-382.069

-188.094

22

HOJA DE ITERACIONES

2225.000

-0.0

85

88

95

70

55

21

47

2

-322.4885

-0.1

07

36

19

63

19

01

84

-1424.000 0.267 1424.000

-0.1

07

36

19

63

19

01

84

322.4885

3 4-0.307 -0.307

-322.488497-233.245591-292.672667-303.816885-310.497736-311.743361-312.255852-312.507651

0.7

62 -312.643747

-0.390 -312.724469 -0.390-312.775094-312.807709-312.828993-312.842977-312.852203

-0.190 -0.190

4739.583

-0.0

53

23

19

39

16

34

98

1

-387.1584

-0.0

66

53

99

23

95

43

72

6

-3188.000 0.267 3188.000

-0.0

66

53

99

23

95

43

72

6

260.3167

8 9-0.190 -0.190

-387.158389-216.795515-197.712617-191.406535-190.927634-191.425324-191.918181-192.284729

0.7

62 -192.536787

-0.390 -192.705141 -0.390-192.816559

-192.890183-192.938882-192.971147-192.992557

-0.190 -0.1905489.583

-0.0

53 -694.0738

-0.0

67 -2708.000 0.267 2708.000

-0.0

67 567.2321

13 14-0.190 -0.190

-694.073788-656.483613

-687.35424-691.40032

-693.623288-694.699917-695.349159-695.774864

0.7

62 -696.061362

-0.390 -696.255436 -0.390-696.386872-696.475701

-696.5356-696.575914-696.603005

-0.215 -0.215

4387.500

-0.0

60

08

58

36

90

98

71

2

-275.8785

-0.0

75

10

72

96

13

73

39

1

-3408.000 0.267 3408.000

-0.0

75

10

72

96

13

73

39

1

275.8785

18 19-0.150 -0.150

-275.878487-135.447629

-126.69706-126.22724

-126.429079-126.802158

-127.12296-127.368911

0.5

33 -127.549044

-0.390 -127.677645 -0.390-127.767976-127.830706-127.873898-127.903445

-127.923555

23 240

1.97521068

-2628.351 2109.530 -2162.470

-2088.842 3 -1472.135 2083.388 -1578.016 4-616.707 806.733

2.00282391

-525.400 588.761-5629.319 4788.774 -4775.226

-4601.441 8 -3248.500 4795.558 -3221.403 9-827.541 731.340

2.00512031

-1211.253 1101.625-6550.251 4072.295 -4051.705

-5278.890 13 -2907.492 4082.617 -2866.310 14-1160.145 1205.839

1.9872556

-726.860 938.232-5202.074 5078.807 -5145.193

-4255.330 18 -3397.858 5045.829 -3530.632 19-130.611 319.350

-62.365 162.615

23 24

322.4885

-0.0

85

88

95

70

55

21

47

2

-2225.000 0.213 2225.000

-0.1

99

46

57

16

82

99

2

-2080.3651

4 5-0.307 -0.301

322.488497 -2080.36509446.36013 -1426.78603

419.607783 -1649.5543447.107912 -1636.10847445.915448 -1637.29673445.794223 -1638.27769445.670041 -1638.68571445.525499 -1638.89823

0.7

62 445.414807

0.3

21 -1639.02458

445.33948 -0.165 -1639.10379445.289784 -1639.15462445.257189 -1639.18764445.235787 -1639.20924445.221697 -1639.22344445.212394 -1639.23281

-0.190 -0.188

260.3167

-0.0

53

23

19

39

16

34

98

1

-4231.250 0.213 4231.250

-0.1

24

58

28

69

85

53

95

-2470.9747

9 10-0.190 -0.188

260.316659 -2470.97469213.578856 -1683.72604166.287283 -1770.6345164.732021 -1769.90538162.314206 -1770.14258161.000124 -1770.87546160.291751 -1771.45433159.871329 -1771.84885

0.7

62 159.605829

0.3

21 -1772.11159.433795 -0.165 -1772.28183159.321132 -1772.39491

159.246955 -1772.46946159.197953 -1772.51874159.165502 -1772.55136159.143972 -1772.57301

-0.190 -0.188567.2321

-0.0

53 -4981.250 0.213 4981.250

-0.1

25 -2908.9613

14 15-0.190 -0.188

567.232058 -2908.96135672.711354 -2134.72682644.501789 -2182.04211647.797987 -2188.22767647.603031 -2189.93905646.950752 -2190.85721646.390091 -2191.47085645.982383 -2191.89068

0.7

62 645.698781

0.3

21 -2192.17777

645.504603 -0.165 -2192.37333645.372639 -2192.50604645.283354 -2192.59579645.223125 -2192.65632645.182586 -2192.69706645.155342 -2192.72444

-0.215 -0.212

275.8785

-0.0

60

08

58

36

90

98

71

2

-4387.500 0.213 4387.500

-0.1

40

39

48

60

54

52

84

-2887.4177

19 20-0.150 -0.148

275.878487 -2887.41774315.185844 -2480.10425300.052973 -2464.08262296.553929 -2464.05109295.594237 -2464.55467295.079837 -2464.99072294.728741 -2465.32589294.475105 -2465.5758

0.5

33 294.292387

0.2

25 -2465.75766

294.162551 -0.165 -2465.88741294.07147 -2465.97862

294.008236 -2466.04203293.964696 -2466.08572293.934909 -2466.11564

293.914634 -2466.13601

24 250 0

0

2.6431068

2822.836 -2517.164

4 -2384.749 3730.525 -1620.569 5806.733 -1620.569

2.6022031

588.761 -1663.4355284.022 -4870.978

9 -4541.504 6873.680 -3508.896 10731.340 -1845.460

2.5832391

1101.625 -1980.5136175.593 -5779.407

14 -5173.774 7975.313 -4183.311 151205.839 -2202.798

2.6322106

938.232 -2290.6785543.048 -4986.952

19 -4788.213 7294.724 -3397.975 20319.350 -1107.298

162.615 -552.408

24 25

CALCULO DE LOS MOMENTOS DE EMPOTRAMIENTO

NUDO BARRA L W Mij Mji1 1 a 2 5 1068 -2225.000 2225.0002 2 a 3 5 1068 -2225.000 2225.0003 3 a 4 4 1068 -1424.000 1424.0004 4 a 5 5 1068 -2225.000 2225.00056 6 a 7 5 2391 -4981.250 4981.2507 7 a 8 5 2275 -4739.583 4739.5838 8 a 9 4 2391 -3188.000 3188.000

9 9 a 10 5 2031 -4231.250 4231.2501011 11 a 12 5 2031 -4231.250 4231.25012 12 a 13 5 2635 -5489.583 5489.58313 13 a 14 4 2031 -2708.000 2708.00014 14 a 15 5 2391 -4981.250 4981.2501516 16 a 17 5 2276 -4741.667 4741.66717 17 a 18 5 2106 -4387.500 4387.50018 18 a 19 4 2556 -3408.000 3408.00019 19 a 20 5 2106 -4387.500 4387.500

20

CORTANTES FINALES EN VIGAS

BARRA L W P Mij Mji1 a 2 5 1068 5340.000 -1650.252 -2508.3652 a 3 5 1068 5340.000 -2297.088 -2088.8423 a 4 4 1068 4272.000 -1472.135 -1578.0164 a 5 5 1068 5340.000 -2384.749 -1620.569

6 a 7 5 2391 11955.000 -4005.291 -5385.5377 a 8 5 2275 11375.000 -4892.347 -4601.4418 a 9 4 2391 9564.000 -3248.500 -3221.403

9 a 10 5 2031 10155.000 -4541.504 -3508.896

BF14

INGRESE CARGA

11 a 12 5 2031 10155.000 -3534.952 -4709.19312 a 13 5 2635 13175.000 -5465.135 -5278.89013 a 14 4 2031 8124.000 -2907.492 -2866.31014 a 15 5 2391 11955.000 -5173.774 -4183.311

16 a 17 5 2276 11380.000 -3595.597 -5198.32417 a 18 5 2106 10530.000 -4569.962 -4255.33018 a 19 4 2556 10224.000 -3397.858 -3530.632

19 a 20 5 2106 10530.000 -4788.213 -3397.975

CORTANTES FINALES EN COLUMNAS

BARRA L W P Mij Mji1 a 6 2.8 0 0 1650.252 -1992.5182 a 7 2.8 0 0 -211.278 401.0103 a 8 2.8 0 0 -616.707 525.4004 a 9 2.8 0 0 806.733 -588.761

5 a 10 2.8 0 0 -1620.569 1663.4350

6 a 11 2.8 0 0 2012.773 -1694.8697 a 12 2.8 0 0 -92.181 -416.1158 a 13 2.8 0 0 -827.541 1211.2539 a 14 2.8 0 0 731.340 -1101.625

10 a 15 2.8 0 0 -1845.460 1980.5130

11 a 16 2.8 0 0 1840.083 -2302.55512 a 17 2.8 0 0 339.826 246.29313 a 18 2.8 0 0 -1160.145 726.86014 a 19 2.8 0 0 1205.839 -938.23215 a 20 2.8 0 0 -2202.798 2290.678

016 a 21 4 0 0 1293.042 0.00017 a 22 4 0 0 -382.069 0.000

18 a 23 4 0 0 -130.611 0.000

19 a 24 4 0 0 319.350 0.00020 a 25 4 0 0 -1107.298 0.000

CALCULO DE LOS MOMENTOS FINALES EN TODAS LAS BARRAS DEL PORTICO

CALCULO DE FACTORES DE CARGA EN NUDO

SUM MEP SIM k 2*sum MEP mi s NUDO Mij-2225.000 0.535 1.070 2080.365

12 -2225.000

0.000 1.189 2.377 0.000 6 0801.000 1.242 2.484 -322.488

23 -2225.000

-801.000 1.242 2.484 322.488 7 02225.000 0.535 1.070 -2080.365 1 2225.000

-4981.250 0.856 1.712 2908.961

34 -1424.000

241.667 1.950 3.901 -61.951 8 01551.583 2.004 4.008 -387.158 2 2225.000

-1043.250 2.004 4.008 260.3174

5 -2225.0004231.250 0.856 1.712 -2470.975 9 0

-4231.250 0.856 1.712 2470.975 3 1424.000-1258.333 1.950 3.901 322.571

510 0

2781.583 2.004 4.008 -694.074 4 2225.000-2273.250 2.004 4.008 567.232

61 0

4981.250 0.856 1.712 -2908.961 7 -4981.250-4741.667 0.760 1.520 3120.495 11 0

354.167 1.722 3.444 -102.842

7

2 0979.500 1.775 3.550 -275.878 8 -4739.583

-979.500 1.775 3.550 275.878 12 0

4387.500 0.760 1.520 -2887.418 6 4981.250

8

3 0

9 -3188.000

CORTANTES FINALES EN VIGAS 13 0

7 4739.583Vij Vji

9

4 02498.377 -2841.623 10 -4231.2502711.649 -2628.351 14 02109.530 -2162.470 8 3188.0002822.836 -2517.164

105 0

15 05701.451 -6253.549 9 4231.2505745.681 -5629.319

116 0

4788.774 -4775.226 12 -4231.2505284.022 -4870.978 16 0

12

7 04842.652 -5312.348 13 -5489.5836624.749 -6550.251 17 04072.295 -4051.705 11 4231.2506175.593 -5779.407

13

8 0

14 -2708.0005369.455 -6010.545 18 05327.926 -5202.074 12 5489.5835078.807 -5145.193

14

9 0

5543.048 -4986.952 15 -4981.250

19 0

CORTANTES FINALES EN COLUMNAS 13 2708.000

1510 0

Vij Vji 20 0-1300.989 -1300.989 14 4981.250

218.674 218.674

1611 0

407.896 407.896 17 -4741.667-498.391 -498.391 21 01172.859 1172.859

17

12 0

18 -4387.500-1324.158 -1324.158 22 0

-115.691 -115.691 16 4741.667728.141 728.141

18

13 0-654.630 -654.630 19 -3408.0001366.419 1366.419 23 0

17 4387.500-1479.514 -1479.514

19

14 0-33.405 -33.405 20 -4387.500673.931 673.931 24 0

-765.740 -765.740 18 3408.0001604.813 1604.813

2015 0

25 0-323.261 -323.261 19 4387.500

95.517 95.517 21 16 0

32.653 32.653 22 17 0

-79.837 -79.837 23 18 0276.824 276.824 24 19 0

25 20 0


CORRECION

Kij mi mj mr ALFAij MOMENTO FINAL RESTO0.213 1353.333 -12.522 0 -0.199 -1650.249 0.0060.321 1353.333 2418.181 9.282 -0.301 1650.2560.213 -12.522 -312.852 0 -0.090 -2297.085 0.0160.762 -12.522 -261.526 9.282 -0.321 -211.2670.213 -12.522 1353.333 0 -0.090 2508.3680.267 -312.852 445.212 0 -0.107 -1472.131 0.0170.762 -312.852 -192.993 9.282 -0.307 -616.6970.213 -312.852 -12.522 0 -0.086 2088.845

0.213 445.212 -1639.233 0 -0.086 -2384.746 0.0170.762 445.212 159.144 9.282 -0.307 806.7430.267 445.212 -312.852 0 -0.107 1578.0190.321 -1639.233 -1772.573 9.282 -0.301 -1620.565 0.0080.213 -1639.233 445.212 0 -0.199 1620.5730.321 2418.181 1353.333 9.282 -0.188 1992.528 0.0250.213 2418.181 -261.526 0 -0.125 -4005.2850.321 2418.181 1429.156 -3.527 -0.188 2012.7830.762 -261.526 -12.522 9.282 -0.195 -400.984 0.0650.213 -261.526 -192.993 0 -0.055 -4892.3390.762 -261.526 405.625 -3.527 -0.195 -92.155

0.213 -261.526 2418.181 0 -0.055 5385.544

0.762 -192.993 -312.852 9.282 -0.190 -525.376 0.065

0.267 -192.993 159.144 0 -0.067 -3248.491

0.762 -192.993 -696.603 -3.527 -0.190 -827.5160.213 -192.993 -261.526 0 -0.053 4601.4480.762 159.144 445.212 9.282 -0.190 588.786 0.0660.213 159.144 -1772.573 0 -0.053 -4541.4970.762 159.144 645.155 -3.527 -0.190 731.3650.267 159.144 -192.993 0 -0.067 3221.4120.321 -1772.573 -1639.233 9.282 -0.188 -1663.424 0.0300.321 -1772.573 -2192.724 -3.527 -0.188 -1845.4490.213 -1772.573 159.144 0 -0.125 3508.9030.321 1429.156 2418.181 -3.527 -0.188 1694.882 0.0340.213 1429.156 405.625 0 -0.125 -3534.9440.321 1429.156 2867.949 -1.517 -0.188 1840.096

0.762 405.625 -261.526 -3.527 -0.195 416.150 0.0880.213 405.625 -696.603 0 -0.055 -5465.1250.762 405.625 -363.664 -1.517 -0.195 339.8610.213 405.625 1429.156 0 -0.055 4709.2030.762 -696.603 -192.993 -3.527 -0.190 -1211.219 0.0880.267 -696.603 645.155 0 -0.067 -2907.4800.762 -696.603 -127.924 -1.517 -0.190 -1160.1120.213 -696.603 405.625 0 -0.053 5278.8990.762 645.155 159.144 -3.527 -0.190 1101.659 0.089

0.213 645.155 -2192.724 0 -0.053 -5173.7650.762 645.155 293.915 -1.517 -0.190 1205.873

0.267 645.155 -696.603 0 -0.067 2866.322

0.321 -2192.724 -1772.573 -3.527 -0.188 -1980.498 0.0400.321 -2192.724 -2466.136 -1.517 -0.188 -2202.7830.213 -2192.724 645.155 0 -0.125 4183.3210.321 2867.949 1429.156 -1.517 -0.212 2302.566 0.0250.213 2867.949 -363.664 0 -0.140 -3595.5900.225 2867.949 0.000 10.989 -0.148 1293.0500.762 -363.664 405.625 -1.517 -0.221 -246.264 0.0660.213 -363.664 -127.924 0 -0.062 -4569.9540.533 -363.664 0.000 10.989 -0.155 -382.0480.213 -363.664 2867.949 0 -0.062 5198.3320.762 -127.924 -696.603 -1.517 -0.215 -726.832 0.0650.267 -127.924 293.915 0 -0.075 -3397.8490.533 -127.924 0.000 10.989 -0.150 -130.5910.213 -127.924 -363.664 0 -0.060 4255.3380.762 293.915 645.155 -1.517 -0.215 938.261 0.0660.213 293.915 -2466.136 0 -0.060 -4788.2050.533 293.915 0.000 10.989 -0.150 319.3700.267 293.915 -127.924 0 -0.075 3530.6420.321 -2466.136 -2192.724 -1.517 -0.212 -2290.665 0.0300.225 -2466.136 0.000 10.989 -0.148 -1107.2890.213 -2466.136 293.915 0 -0.140 3397.9840.225 0 2867.94946 10.9885973 0.000 647.761

0.533 0 -363.664411 10.9885973 0.000 -188.094

0.533 0 -127.923555 10.9885973 0.000 -62.3650.533 0 293.914634 10.9885973 0.000 162.6150.225 0 -2466.13601 10.9885973 0.000 -552.408


CORRECION

CM M FINALES CO COMPROBACION-0.002 -1650.252 0-0.004 1650.252-0.003 -2297.088 0-0.011 -211.278-0.003 2508.365-0.004 -1472.135 0-0.010 -616.707-0.003 2088.842

-0.003 -2384.749 0-0.010 806.733-0.004 1578.016-0.005 -1620.569 0-0.003 1620.569-0.010 1992.518 0-0.006 -4005.291-0.010 2012.773-0.025 -401.010 0-0.007 -4892.347-0.025 -92.181

-0.007 5385.537

-0.025 -525.400 0

-0.009 -3248.500

-0.025 -827.541-0.007 4601.441-0.025 588.761 0-0.007 -4541.504-0.025 731.340-0.009 3221.403-0.011 -1663.435 0-0.011 -1845.460-0.007 3508.896-0.013 1694.869 0-0.009 -3534.952-0.013 1840.083

-0.035 416.115 0-0.010 -5465.135-0.035 339.826-0.010 4709.193-0.033 -1211.253 0-0.012 -2907.492-0.033 -1160.145-0.009 5278.890-0.034 1101.625 0

-0.009 -5173.774-0.034 1205.839

-0.012 2866.310

-0.015 -1980.513 0-0.015 -2202.798-0.010 4183.311-0.011 2302.555 0-0.007 -3595.597-0.008 1293.042-0.029 -246.293 0-0.008 -4569.962-0.021 -382.069-0.008 5198.324-0.028 -726.860 0-0.010 -3397.858-0.020 -130.611-0.008 4255.330-0.028 938.232 0-0.008 -4788.213-0.020 319.350-0.010 3530.632-0.013 -2290.678 0-0.009 -1107.298-0.008 3397.975

647.761

-188.094

-62.365162.615

-552.408






1 a 2 5 0.2 0.4 0.00107 0.213

2 a 3 5 0.2 0.4 0.00107 0.2133 a 4 4 0.2 0.4 0.00107 0.2674 a 5 5 0.2 0.4 0.00107 0.213

6 a 7 5 0.2 0.4 0.00107 0.2137 a 8 5 0.2 0.4 0.00107 0.2138 a 9 4 0.2 0.4 0.00107 0.267

9 a 10 5 0.2 0.4 0.00107 0.213

11 a 12 5 0.2 0.4 0.00107 0.21312 a 13 5 0.2 0.4 0.00107 0.21313 a 14 4 0.2 0.4 0.00107 0.26714 a 15 5 0.2 0.4 0.00107 0.213

16 a 17 5 0.2 0.4 0.00107 0.21317 a 18 5 0.2 0.4 0.00107 0.21318 a 19 4 0.2 0.4 0.00107 0.26719 a 20 5 0.2 0.4 0.00107 0.213



1 a 6 2.8 0.4 0.3 0.00090 0.3212 a 7 2.8 0.4 0.4 0.00213 0.7623 a 8 2.8 0.4 0.4 0.00213 0.7624 a 9 2.8 0.4 0.4 0.00213 0.762

5 a 10 2.8 0.4 0.3 0.00090 0.321

6 a 11 2.8 0.4 0.3 0.00090 0.3217 a 12 2.8 0.4 0.4 0.00213 0.7628 a 13 2.8 0.4 0.4 0.00213 0.7629 a 14 2.8 0.4 0.4 0.00213 0.762

10 a 15 2.8 0.4 0.3 0.00090 0.321


G10


C12

INGRESE LONGITUD

D12

INGRESE BASE

E12

INGRESE ALTURA

F12

MOMENTO DE INERCIA

G12


C36


D36

INGRESE BASE

E36

INGRESE ANCHO

11 a 16 2.8 0.4 0.3 0.00090 0.32112 a 17 2.8 0.4 0.4 0.00213 0.76213 a 18 2.8 0.4 0.4 0.00213 0.76214 a 19 2.8 0.4 0.4 0.00213 0.76215 a 20 2.8 0.4 0.3 0.00090 0.321

16 a 21 4 0.4 0.3 0.00090 0.22517 a 22 4 0.4 0.4 0.00213 0.53318 a 23 4 0.4 0.4 0.00213 0.533

19 a 24 4 0.4 0.4 0.00213 0.53320 a 25 4 0.4 0.3 0.00090 0.225



CODIGO: 041310

0.001

2080.3651

-0.1

99

46

57

16

82

99

2

-2225.000 0.213

1-0.301

mi= 2080.365090 0 1206.12248

-30.86194208 1451.86073-8.076625242 1395.57774

-4.52152097 1397.94947-1.125106904 1397.06210.9456481656 1396.8048

2.253948434 1396.67965

3.0892173113

0.3

21 1396.58898

3.6270044668 -0.165 1396.525123.9758919537 1396.482144.2036210419 1396.453734.3529844503 1396.43504

4.451323128 1396.422734.5162644695 1396.41464.5592547286

-0.188

2908.9613

-0.1

24

58

28

69

85

53

95

-4981.250 0.213

6-0.188

2908.961350 2202.50431

0 2368.37344-27.17308054 2361.11797-20.13861956 2360.75115-14.37160764 2359.98366-10.87895717 2359.39572-8.420241661 2359.01657-6.745735585

0.3

21 2358.77667

-5.615536595 -0.165 2358.62242-4.856462908 2358.52189




N12


P12


Q12


N13

NUDO

N14


O23


M24


-4.348080371 2358.45585-4.008063028 2358.41227-3.780789242 2358.38342-3.628911799 2358.36428-3.527426495-3.459614165

-0.1882470.9747

-0.1

24

58

28

69

85

53

95

-4231.250 0.213

11-0.188

2470.974690 1455.5677

0 1508.47242-22.15898037 1502.72728-16.08897602 1501.44382-13.17631238 1500.76825-10.73100287 1500.27734-8.966954874 1499.92465-7.691906874

0.3

21 1499.67755

-6.783130263 -0.165 1499.50729-6.14363752 1499.39118

-5.698450114 1499.31247-5.391244281 1499.25932-5.180731822 1499.22351-5.037266302 1499.19943-4.939909515-4.874061014

-0.212

3120.4951

-0.1

40 -4741.667 0.213

16-0.148

0 3120.495140 2788.81443

-4.396774803 2801.97662-4.648134257 2801.81864-3.107036445 2801.30283-2.333619568 2800.86805-1.707163795 2800.56239-1.242006434 2800.34234-0.900305846

0.2

25 2800.18458

-0.652775151 -0.165 2800.07258-0.476046492 2799.99392-0.351503001 2799.93922-0.264701405 2799.9015-0.204748188 2799.87567

-0.163635165 2799.85808-0.135600068

210


2.34841068

2508.062

1 -1657.203 2944.933

1657.203

2.37082391

1966.3965668.571

6 -3963.252 6719.509

1996.856

S117


S118

CARGA

Q120

CORTANTE FINAL 1-2

N121

NUDO

Q121

MOMENTO FINAL 1-2

S121

MOMENTO MAXIMO (+)

N122

MOMENTO FINAL 1-6

2.40292031

1720.6934880.350

11 -3582.840 5863.569

1862.147

2.34072276

2280.2185327.451

16 -3540.116 6235.002

1259.899

629.938

21

HOJA DE ITERACIONES

2225.000

-0.0

89

74

35

89

74

35

89

7

0-0

.08

97

43

58

97

43

58

97

-2225.000 0.213

2-0.321

0-121.06653

-123.142779-129.457852-129.573809-130.247466-130.705406-130.938052

0.7

62 -131.066719

-0.390 -131.144519-131.193759-131.225579-131.246352-131.259994-131.268988

-0.195

4981.250

-0.0

54

68

75

130.3101

-0.0

54

68

75

-5489.583 0.213

7-0.195

130.31005946.012387764.411189858.392678657.444183456.744497656.2218712

55.854139

0.7

62 55.6068228

-0.390 55.443392855.3358154




55.264937455.218137455.187167255.1666328

-0.1954231.250

-0.0

54

68

75

130.3101

-0.0

54

68

75

-4739.583 0.213

12-0.195

130.31005929.811414547.282323845.297447343.706943142.825894142.244530541.8488981

0.7

62 41.5783987

-0.390 41.393865141.268491141.183632541.126366841.087808241.0618891

-0.221

4741.667

-0.0

61

94

69

02

65

48

67

3

169.3861

-0.0

61

94

69

02

65

48

67

3

-5325.000 0.213

17-0.155

169.38606233.947536

34.848465434.4423859

34.05699433.6551874

33.34226733.1086341

0.5

33 32.9383224

-0.390 32.816408832.730385432.670385132.628921632.6004766

32.5810739

220


2.5331068

-2831.938 2705.612

-2466.891 2 -2312.358 3427.123

-154.533

2.532635

-12.501-6286.429 6665.662

-5507.899 7 -5608.087 8430.940

112.689

2.5062275

101.934-5274.650 5701.508

-4568.590 12 -4754.173 7144.438

83.649

2.5342556

77.192-6052.549 6477.999

-5352.863 17 -5464.717 8209.013

34.662

17.304

22

HOJA DE ITERACIONES

2225.000

-0.0

85

88

95

70

55

21

47

2

-322.4885

-0.1

07

36

19

63

19

01

84

-1424.000 0.267 1424.000

-0.1

07

36

19

63

19

01

84

322.4885

3 4-0.307 -0.307

-322.488497-133.807073-154.242269-146.524026-146.872753-146.409372-146.497852-146.643233

0.7

62 -146.749861

-0.390 -146.820554 -0.390-146.866702-146.896836-146.916578-146.929558-146.938119

-0.190 -0.190

5489.583

-0.0

53

23

19

39

16

34

98

1

-694.0738

-0.0

66

53

99

23

95

43

72

6

-2708.000 0.267 2708.000

-0.0

66

53

99

23

95

43

72

6

380.0885

8 9-0.190 -0.190

-694.073788-622.771315-651.804547-659.884111-662.839878-664.089918-664.732223

-665.117

0.7

62 -665.362039

-0.390 -665.521151 -0.390-665.625314

-665.693833-665.73906

-665.768989-665.788835

-0.190 -0.1904739.583

-0.0

53 -387.1584

-0.0

67 -3188.000 0.267 3188.000

-0.0

67 447.4602

13 14-0.190 -0.190

-387.158389-165.346214-151.830774-147.624885-148.170429-148.828618-149.344732-149.715731

0.7

62 -149.974091

-0.390 -150.151425 -0.390-150.272166

-150.35396-150.409182-150.446376-150.471383

-0.215 -0.215

5325.000

-0.0

60

08

58

36

90

98

71

2

-708.919

-0.0

75

10

72

96

13

73

39

1

-2808.000 0.267 2808.000

-0.0

75

10

72

96

13

73

39

1

444.8699

18 19-0.150 -0.150

-708.918991-708.889713-716.137787-717.975391-718.574498-719.007423

-719.31953-719.546264

0.5

33 -719.70991

-0.390 -719.826596 -0.390-719.908778-719.966036-720.005574-720.032683

-720.051166

23 240

1.96031068

-2634.388 2093.555 -2178.445

-2134.300 3 -1406.591 2051.953 -1576.372 4-727.709 838.478

2.02842031

-1123.037 852.511-6509.338 4119.640 -4004.360

-5217.276 8 -2962.400 4178.098 -2731.840 9-1131.839 872.738

1.97972391

-739.224 885.020-5673.492 4733.352 -4830.648

-4684.133 13 -3163.265 4685.198 -3357.858 14-781.645 1027.854

2.01462106

-1215.605 1159.480-6302.001 4242.716 -4181.284

-5024.722 18 -3040.972 4273.656 -2918.107 19-768.145 604.169

-384.100 302.057

23 24

322.4885

-0.0

85

88

95

70

55

21

47

2

-2225.000 0.213 2225.000

-0.1

99

46

57

16

82

99

2

-2080.3651

4 5-0.307 -0.301

322.488497 -2080.36509398.94438 -1417.32821

349.9577 -1627.65772366.225635 -1608.1575361.189508 -1607.06092360.035086 -1607.49203359.672478 -1607.77497359.481462 -1607.95401

0.7

62 359.36573

0.3

21 -1608.06797

359.292743 -0.165 -1608.14097359.245826 -1608.18814359.215345 -1608.21882359.195409 -1608.2389359.182311 -1608.25209359.173673 -1608.26079

-0.190 -0.188

380.0885

-0.0

53

23

19

39

16

34

98

1

-4231.250 0.213 4231.250

-0.1

24

58

28

69

85

53

95

-2470.9747

9 10-0.190 -0.188

380.088522 -2470.97469392.149035 -1707.74814372.521126 -1806.21573380.045789 -1810.07709379.943564 -1811.27284379.206591 -1812.16148378.651109 -1812.74726378.280578 -1813.12654

0.7

62 378.037379

0.3

21 -1813.37296377.878035 -0.165 -1813.53378377.773426 -1813.63917

377.704553 -1813.7085377.659081 -1813.75425377.628988 -1813.78452377.609033 -1813.80458

-0.190 -0.188447.4602

-0.0

53 -4981.250 0.213 4981.250

-0.1

25 -2908.9613

14 15-0.190 -0.188

447.460195 -2908.96135454.182897 -2102.99276398.914228 -2136.73582397.281642 -2140.71646396.195798 -2141.95112395.424401 -2142.70831394.880293 -2143.24557394.501747 -2143.62285

0.7

62 394.24071

0.3

21 -2143.8842

394.062083 -0.165 -2144.06341393.940584 -2144.18543393.858305 -2144.26809393.802764 -2144.3239393.765358 -2144.36149393.740209 -2144.38677

-0.215 -0.212

444.8699

-0.0

60

08

58

36

90

98

71

2

-4387.500 0.213 4387.500

-0.1

40

39

48

60

54

52

84

-2887.4177

19 20-0.150 -0.148

444.869903 -2887.41774574.141463 -2523.17307570.075736 -2510.12613568.515339 -2510.3118567.947976 -2510.81529567.535357 -2511.22898567.227763 -2511.53806567.001108 -2511.76502

0.5

33 566.836708

0.2

25 -2511.92949

566.719273 -0.165 -2512.04702566.636499 -2512.12993566.578806 -2512.18777566.538956 -2512.22775566.511629 -2512.25519

566.492995 -2512.27391

24 250 0

0

2.651068

2829.884 -2510.116

4 -2414.851 3749.178 -1615.430 5838.478 -1615.430

2.5912031

852.511 -1681.5035261.336 -4893.664

9 -4457.088 6814.784 -3537.910 10872.738 -1856.407

2.5942391

885.020 -1962.6696201.586 -5753.414

14 -5270.732 8042.592 -4150.300 151027.854 -2187.631

2.6182106

1159.480 -2305.8795514.063 -5015.937

19 -4681.755 7218.635 -3436.441 20604.169 -1130.562

302.057 -565.292

24 25



9 9 a 10 5 2031 -4231.250 4231.2501011 11 a 12 5 2031 -4231.250 4231.25012 12 a 13 5 2275 -4739.583 4739.58313 13 a 14 4 2391 -3188.000 3188.00014 14 a 15 5 2391 -4981.250 4981.2501516 16 a 17 5 2276 -4741.667 4741.66717 17 a 18 5 2556 -5325.000 5325.00018 18 a 19 4 2106 -2808.000 2808.00019 19 a 20 5 2106 -4387.500 4387.500

20



6 a 7 5 2391 11955.000 -3963.252 -5507.8997 a 8 5 2635 13175.000 -5608.087 -5217.2768 a 9 4 2031 8124.000 -2962.400 -2731.840

9 a 10 5 2031 10155.000 -4457.088 -3537.910

BF14

INGRESE CARGA

11 a 12 5 2031 10155.000 -3582.840 -4568.59012 a 13 5 2275 11375.000 -4754.173 -4684.13313 a 14 4 2391 9564.000 -3163.265 -3357.85814 a 15 5 2391 11955.000 -5270.732 -4150.300

16 a 17 5 2276 11380.000 -3540.116 -5352.86317 a 18 5 2556 12780.000 -5464.717 -5024.72218 a 19 4 2106 8424.000 -3040.972 -2918.107

19 a 20 5 2106 10530.000 -4681.755 -3436.441



5 a 10 2.8 0 0 -1615.430 1681.5030

6 a 11 2.8 0 0 1996.856 -1720.6937 a 12 2.8 0 0 112.689 -101.9348 a 13 2.8 0 0 -1131.839 739.2249 a 14 2.8 0 0 872.738 -885.020

10 a 15 2.8 0 0 -1856.407 1962.6690

11 a 16 2.8 0 0 1862.147 -2280.21812 a 17 2.8 0 0 83.649 -77.19213 a 18 2.8 0 0 -781.645 1215.60514 a 19 2.8 0 0 1027.854 -1159.48015 a 20 2.8 0 0 -2187.631 2305.879

016 a 21 4 0 0 1259.899 0.00017 a 22 4 0 0 34.662 0.000

18 a 23 4 0 0 -768.145 0.000

19 a 24 4 0 0 604.169 0.00020 a 25 4 0 0 -1130.562 0.000




12 -2225.000

0.000 1.189 2.377 0.000 6 0801.000 1.242 2.484 -322.488

23 -2225.000

-801.000 1.242 2.484 322.488 7 02225.000 0.535 1.070 -2080.365 1 2225.000

-4981.250 0.856 1.712 2908.961

34 -1424.000

-508.333 1.950 3.901 130.310 8 02781.583 2.004 4.008 -694.074 2 2225.000

-1523.250 2.004 4.008 380.0894

5 -2225.0004231.250 0.856 1.712 -2470.975 9 0

-4231.250 0.856 1.712 2470.975 3 1424.000-508.333 1.950 3.901 130.310

510 0

1551.583 2.004 4.008 -387.158 4 2225.000-1793.250 2.004 4.008 447.460

61 0

4981.250 0.856 1.712 -2908.961 7 -4981.250-4741.667 0.760 1.520 3120.495 11 0

-583.333 1.722 3.444 169.386

7

2 02517.000 1.775 3.550 -708.919 8 -5489.583

-1579.500 1.775 3.550 444.870 12 0

4387.500 0.760 1.520 -2887.418 6 4981.250

8

3 0

9 -2708.000


7 5489.583Vij Vji

9

4 02508.062 -2831.938 10 -4231.2502705.612 -2634.388 14 02093.555 -2178.445 8 2708.0002829.884 -2510.116

105 0

15 05668.571 -6286.429 9 4231.2506665.662 -6509.338

116 0

4119.640 -4004.360 12 -4231.2505261.336 -4893.664 16 0

12

7 04880.350 -5274.650 13 -4739.5835701.508 -5673.492 17 04733.352 -4830.648 11 4231.2506201.586 -5753.414

13

8 0

14 -3188.0005327.451 -6052.549 18 06477.999 -6302.001 12 4739.5834242.716 -4181.284

14

9 0

5514.063 -5015.937 15 -4981.250

19 0


1510 0

Vij Vji 20 0-1294.142 -1294.142 14 4981.250

59.655 59.655

1611 0

660.981 660.981 17 -4741.667-603.925 -603.925 21 01177.476 1177.476

17

12 0

18 -5325.000-1327.696 -1327.696 22 0

-76.651 -76.651 16 4741.667668.237 668.237

18

13 0-627.771 -627.771 19 -2808.0001363.956 1363.956 23 0

17 5325.000-1479.416 -1479.416

19

14 0-57.443 -57.443 20 -4387.500713.303 713.303 24 0

-781.191 -781.191 18 2808.0001604.825 1604.825

2015 0

25 0-314.975 -314.975 19 4387.500

-8.665 -8.665 21 16 0

192.036 192.036 22 17 0

-151.042 -151.042 23 18 0282.640 282.640 24 19 0

25 20 0


CORRECION

Kij mi mj mr ALFAij MOMENTO FINAL RESTO0.213 1396.415 -131.269 0 -0.199 -1657.200 0.0060.321 1396.415 2358.364 4.559 -0.301 1657.2060.213 -131.269 -146.938 0 -0.090 -2312.355 0.0150.762 -131.269 55.167 4.559 -0.321 -154.5230.213 -131.269 1396.415 0 -0.090 2466.8940.267 -146.938 359.174 0 -0.107 -1406.587 0.0150.762 -146.938 -665.789 4.559 -0.307 -727.7000.213 -146.938 -131.269 0 -0.086 2134.302

0.213 359.174 -1608.261 0 -0.086 -2414.848 0.0160.762 359.174 377.609 4.559 -0.307 838.4880.267 359.174 -146.938 0 -0.107 1576.3760.321 -1608.261 -1813.805 4.559 -0.301 -1615.425 0.0070.213 -1608.261 359.174 0 -0.199 1615.4320.321 2358.364 1396.415 4.559 -0.188 1966.404 0.0230.213 2358.364 55.167 0 -0.125 -3963.2460.321 2358.364 1499.199 -3.460 -0.188 1996.8650.762 55.167 -131.269 4.559 -0.195 -12.477 0.0600.213 55.167 -665.789 0 -0.055 -5608.0810.762 55.167 41.062 -3.460 -0.195 112.713

0.213 55.167 2358.364 0 -0.055 5507.905

0.762 -665.789 -146.938 4.559 -0.190 -1123.015 0.060

0.267 -665.789 377.609 0 -0.067 -2962.392

0.762 -665.789 -150.471 -3.460 -0.190 -1131.8160.213 -665.789 55.167 0 -0.053 5217.2820.762 377.609 359.174 4.559 -0.190 852.534 0.0610.213 377.609 -1813.805 0 -0.053 -4457.0820.762 377.609 393.740 -3.460 -0.190 872.7610.267 377.609 -665.789 0 -0.067 2731.8480.321 -1813.805 -1608.261 4.559 -0.188 -1681.493 0.0270.321 -1813.805 -2144.387 -3.460 -0.188 -1856.3960.213 -1813.805 377.609 0 -0.125 3537.9170.321 1499.199 2358.364 -3.460 -0.188 1720.705 0.0320.213 1499.199 41.062 0 -0.125 -3582.8320.321 1499.199 2799.858 -4.874 -0.188 1862.159

0.762 41.062 55.167 -3.460 -0.195 101.966 0.0820.213 41.062 -150.471 0 -0.055 -4754.1640.762 41.062 32.581 -4.874 -0.195 83.6810.213 41.062 1499.199 0 -0.055 4568.5990.762 -150.471 -665.789 -3.460 -0.190 -739.193 0.0810.267 -150.471 393.740 0 -0.067 -3163.2540.762 -150.471 -720.051 -4.874 -0.190 -781.6140.213 -150.471 41.062 0 -0.053 4684.1420.762 393.740 377.609 -3.460 -0.190 885.051 0.082

0.213 393.740 -2144.387 0 -0.053 -5270.7230.762 393.740 566.493 -4.874 -0.190 1027.885

0.267 393.740 -150.471 0 -0.067 3357.869

0.321 -2144.387 -1813.805 -3.460 -0.188 -1962.655 0.0370.321 -2144.387 -2512.274 -4.874 -0.188 -2187.6180.213 -2144.387 393.740 0 -0.125 4150.3100.321 2799.858 1499.199 -4.874 -0.212 2280.228 0.0230.213 2799.858 32.581 0 -0.140 -3540.1100.225 2799.858 0.000 -0.136 -0.148 1259.9060.762 32.581 41.062 -4.874 -0.221 77.219 0.0610.213 32.581 -720.051 0 -0.062 -5464.7100.533 32.581 0.000 -0.136 -0.155 34.6810.213 32.581 2799.858 0 -0.062 5352.8710.762 -720.051 -150.471 -4.874 -0.215 -1215.579 0.0600.267 -720.051 566.493 0 -0.075 -3040.9620.533 -720.051 0.000 -0.136 -0.150 -768.1270.213 -720.051 32.581 0 -0.060 5024.7290.762 566.493 393.740 -4.874 -0.215 1159.506 0.0610.213 566.493 -2512.274 0 -0.060 -4681.7480.533 566.493 0.000 -0.136 -0.150 604.1870.267 566.493 -720.051 0 -0.075 2918.1160.321 -2512.274 -2144.387 -4.874 -0.212 -2305.867 0.0270.225 -2512.274 0.000 -0.136 -0.148 -1130.5540.213 -2512.274 566.493 0 -0.140 3436.4480.225 0 2799.85808 -0.13560007 0.000 629.938

0.533 0 32.5810739 -0.13560007 0.000 17.304

0.533 0 -720.051166 -0.13560007 0.000 -384.1000.533 0 566.492995 -0.13560007 0.000 302.0570.225 0 -2512.27391 -0.13560007 0.000 -565.292


CORRECION


-0.003 -2414.851 0-0.010 838.478-0.003 1576.372-0.004 -1615.430 0-0.003 1615.430-0.009 1966.396 0-0.006 -3963.252-0.009 1996.856-0.024 -12.501 0-0.007 -5608.087-0.024 112.689

-0.007 5507.899

-0.023 -1123.037 0

-0.008 -2962.400

-0.023 -1131.839-0.006 5217.276-0.023 852.511 0-0.006 -4457.088-0.023 872.738-0.008 2731.840-0.010 -1681.503 0-0.010 -1856.407-0.007 3537.910-0.012 1720.693 0-0.008 -3582.840-0.012 1862.147

-0.032 101.934 0-0.009 -4754.173-0.032 83.649-0.009 4568.590-0.031 -739.224 0-0.011 -3163.265-0.031 -781.645-0.009 4684.133-0.031 885.020 0

-0.009 -5270.732-0.031 1027.854

-0.011 3357.858

-0.014 -1962.669 0-0.014 -2187.631-0.009 4150.300-0.010 2280.218 0-0.007 -3540.116-0.007 1259.899-0.027 77.192 0-0.008 -5464.717-0.019 34.662-0.008 5352.863-0.026 -1215.605 0-0.009 -3040.972-0.018 -768.145-0.007 5024.722-0.026 1159.480 0-0.007 -4681.755-0.018 604.169-0.009 2918.107-0.012 -2305.879 0-0.008 -1130.562-0.008 3436.441

629.938

17.304

-384.100302.057

-565.292






1 a 2 5 0.2 0.4 0.00107 0.213

2 a 3 5 0.2 0.4 0.00107 0.2133 a 4 4 0.2 0.4 0.00107 0.2674 a 5 5 0.2 0.4 0.00107 0.213

6 a 7 5 0.2 0.4 0.00107 0.2137 a 8 5 0.2 0.4 0.00107 0.2138 a 9 4 0.2 0.4 0.00107 0.267

9 a 10 5 0.2 0.4 0.00107 0.213

11 a 12 5 0.2 0.4 0.00107 0.21312 a 13 5 0.2 0.4 0.00107 0.21313 a 14 4 0.2 0.4 0.00107 0.26714 a 15 5 0.2 0.4 0.00107 0.213

16 a 17 5 0.2 0.4 0.00107 0.21317 a 18 5 0.2 0.4 0.00107 0.21318 a 19 4 0.2 0.4 0.00107 0.26719 a 20 5 0.2 0.4 0.00107 0.213



1 a 6 2.8 0.4 0.3 0.00090 0.3212 a 7 2.8 0.4 0.4 0.00213 0.7623 a 8 2.8 0.4 0.4 0.00213 0.7624 a 9 2.8 0.4 0.4 0.00213 0.762

5 a 10 2.8 0.4 0.3 0.00090 0.321

6 a 11 2.8 0.4 0.3 0.00090 0.3217 a 12 2.8 0.4 0.4 0.00213 0.7628 a 13 2.8 0.4 0.4 0.00213 0.7629 a 14 2.8 0.4 0.4 0.00213 0.762

10 a 15 2.8 0.4 0.3 0.00090 0.321


G10


C12

INGRESE LONGITUD

D12

INGRESE BASE

E12

INGRESE ALTURA

F12

MOMENTO DE INERCIA

G12


C36


D36

INGRESE BASE

E36

INGRESE ANCHO

11 a 16 2.8 0.4 0.3 0.00090 0.32112 a 17 2.8 0.4 0.4 0.00213 0.76213 a 18 2.8 0.4 0.4 0.00213 0.76214 a 19 2.8 0.4 0.4 0.00213 0.76215 a 20 2.8 0.4 0.3 0.00090 0.321

16 a 21 4 0.4 0.3 0.00090 0.22517 a 22 4 0.4 0.4 0.00213 0.53318 a 23 4 0.4 0.4 0.00213 0.533

19 a 24 4 0.4 0.4 0.00213 0.53320 a 25 4 0.4 0.3 0.00090 0.225



CODIGO: 041310

0.001

2080.3651

-0.1

99

46

57

16

82

99

2

-2225.000 0.213

1-0.301

mi= 2080.365090 0 1337.75249

-33.03752999 1618.63456-11.37251465 1577.28631-8.354415795 1582.90795-5.212583747 1582.23475-3.295283726 1581.91443-2.084877256 1581.78825

-1.311888973

0.3

21 1581.7092

-0.814505431 -0.165 1581.65336-0.492153548 1581.61487-0.281943043 1581.58902-0.144174046 1581.57188

-0.05352198 1581.560560.006316201 1581.55308

0.0459142777

-0.188

2470.9747

-0.1

24

58

28

69

85

53

95

-4231.250 0.213

6-0.188

2470.974690 1657.59573

0 1774.23397-26.13235001 1756.83637-19.01774718 1755.40684

-13.5742953 1754.77909-10.38862921 1754.27417-8.135812765 1753.92527-6.599886349

0.3

21 1753.70071

-5.562697543 -0.165 1753.55676-4.865505697 1753.46348




N12


P12


Q12


N13

NUDO

N14


O23


M24


-4.398238884 1753.40243-4.085586814 1753.36222-3.876558365 1753.33564-3.736859213 1753.31802

-3.64350747-3.581128973

-0.1882908.9613

-0.1

24

58

28

69

85

53

95

-4981.250 0.213

11-0.188

2908.961350 2111.64884

0 2202.58956-23.15998274 2200.79176-17.93372604 2199.52571-15.31643771 2198.84814-13.08326344 2198.39208-11.47670916 2198.07181-10.31372772

0.3

21 2197.84746

-9.48363737 -0.165 2197.69219-8.898926468 2197.58593-8.491490805 2197.51375-8.210079227 2197.46494-8.017084567 2197.43204-7.885466948 2197.40991-7.796100281-7.735629066

-0.212

2503.5255

-0.1

40 -3804.167 0.213

16-0.148

0 2503.525540 2033.06239

-10.03891535 2035.73323-12.57316393 2035.80378-11.64863648 2035.46689-11.05243292 2035.08941-10.50161823 2034.8114-10.08252347 2034.60949-9.772212275

0.2

25 2034.4648

-9.546614091 -0.165 2034.36222-9.385258949 2034.29022-9.271413607 2034.24013-9.191985052 2034.20558-9.137071777 2034.18189

-9.099383275 2034.16575-9.073665274

210


2.32741068

2485.613

1 -1580.291 2892.449

1580.291

2.3852031

1635.4964843.842

6 -3467.780 5776.170

1832.284

S117


S118

CARGA

Q120

CORTANTE FINAL 1-2

N121

NUDO

Q121

MOMENTO FINAL 1-2

S121

MOMENTO MAXIMO (+)

N122

MOMENTO FINAL 1-6

2.38122391

1975.0255693.410

11 -4038.987 6778.526

2063.962

2.35361826

2011.4934297.764

16 -2924.819 5057.715

913.327

455.646

21

HOJA DE ITERACIONES

2225.000

-0.0

89

74

35

89

74

35

89

7

0-0

.08

97

43

58

97

43

58

97

-2225.000 0.213

2-0.321

0-132.879479-133.965475-140.483445-139.688322-140.025415-140.455738-140.698425

0.7

62 -140.829543

-0.390 -140.905373-140.951968-140.981633

-141.00087-141.013466-141.021759

-0.195

4231.250

-0.0

54

68

75

130.3101

-0.0

54

68

75

-4739.583 0.213

7-0.195

130.31005961.334856382.898748675.862867874.289949173.563286273.103205272.7799002

0.7

62 72.5576583

-0.390 72.408680872.3099572




72.244743372.2016489

72.17312872.1542197

-0.1954981.250

-0.0

54

68

75

130.3101

-0.0

54

68

75

-5489.583 0.213

12-0.195

130.3100597.7237435225.749106525.813923424.541452423.716786823.165654522.7956122

0.7

62 22.5453492

-0.390 22.375493322.260291

22.182341822.129731722.0942996

22.070477

-0.221

3804.167

-0.0

61

94

69

02

65

48

67

3

169.3861

-0.0

61

94

69

02

65

48

67

3

-4387.500 0.213

17-0.155

169.38606258.825169255.829876855.218510854.934510154.6003876

54.326854.1174608

0.5

33 53.9630921

-0.390 53.852022853.773453953.7185684

53.68059653.6545224

53.6367243

220


2.5491068

-2854.387 2722.351

-2502.226 2 -2342.336 3469.659

-159.890

2.512275

2.517-5311.158 5710.546

-4636.071 7 -4762.603 7167.107

124.015

2.5292635

85.848-6261.590 6664.890

-5459.439 12 -5613.861 8428.987

68.574

2.5092106

92.629-4832.236 5282.955

-4261.000 17 -4405.985 6626.214

52.356

23.767

22

HOJA DE ITERACIONES

2225.000

-0.0

85

88

95

70

55

21

47

2

-322.4885

-0.1

07

36

19

63

19

01

84

-1424.000 0.267 1424.000

-0.1

07

36

19

63

19

01

84

322.4885

3 4-0.307 -0.307

-322.488497-226.938292-267.350185-267.482549-268.656427-267.793357-267.642683-267.708616

0.7

62 -267.79046

-0.390 -267.851968 -0.390-267.893737-267.921362-267.939532

-267.95149-267.959378

-0.190 -0.190

4739.583

-0.0

53

23

19

39

16

34

98

1

-387.1584

-0.0

66

53

99

23

95

43

72

6

-3188.000 0.267 3188.000

-0.0

66

53

99

23

95

43

72

6

447.4602

8 9-0.190 -0.190

-387.158389-245.099976-242.928448-246.028019-248.962485-250.455817

-251.16832-251.554976

0.7

62 -251.788587

-0.390 -251.937097 -0.390-252.033549

-252.0968-252.138493-252.166066-252.184343

-0.190 -0.1905489.583

-0.0

53 -694.0738

-0.0

67 -2708.000 0.267 2708.000

-0.0

67 380.0885

13 14-0.190 -0.190

-694.073788-620.730664-628.366969-624.820217-624.806542-625.219658-625.640098

-625.967

0.7

62 -626.200643

-0.390 -626.3625 -0.390-626.473107-626.548159-626.598872-626.633045-626.656028

-0.215 -0.215

4387.500

-0.0

60

08

58

36

90

98

71

2

-275.8785

-0.0

75

10

72

96

13

73

39

1

-3408.000 0.267 3408.000

-0.0

75

10

72

96

13

73

39

1

539.9276

18 19-0.150 -0.150

-275.878487-186.761542-189.523963-191.716724-192.466459-192.918357-193.216779-193.426724

0.5

33 -193.576796

-0.390 -193.683541 -0.390-193.758711-193.811117-193.847335-193.872187

-193.889142

23 240

1.98931068

-2617.649 2124.520 -2147.480

-2080.584 3 -1480.150 2113.102 -1526.070 4-600.433 861.659

1.98092391

-588.426 979.586-5664.454 4736.408 -4827.592

-4647.372 8 -3194.463 4691.251 -3376.829 9-864.483 939.408

2.03452031

-1149.802 784.047-6510.110 4132.084 -3991.916

-5226.911 13 -2968.557 4203.378 -2688.220 14-1108.552 945.607

1.96072556

-778.820 1265.690-5247.045 5011.509 -5212.491

-4316.210 18 -3325.719 4912.994 -3727.681 19-211.671 737.931

-108.247 366.554

23 24

322.4885

-0.0

85

88

95

70

55

21

47

2

-2225.000 0.213 2225.000

-0.1

99

46

57

16

82

99

2

-2080.3651

4 5-0.307 -0.301

322.488497 -2080.36509388.276973 -1283.57043326.619823 -1455.45502337.150331 -1418.8544

328.78865 -1413.4348326.518154 -1413.00113325.903843 -1413.10299325.667245 -1413.23684

0.7

62 325.547179

0.3

21 -1413.33602

325.476817 -0.165 -1413.40234325.432829 -1413.4457325.404547 -1413.47399325.386125 -1413.4925

325.37404 -1413.50467325.366079 -1413.51268

-0.190 -0.188

447.4602

-0.0

53

23

19

39

16

34

98

1

-4981.250 0.213 4981.250

-0.1

24

58

28

69

85

53

95

-2908.9613

9 10-0.190 -0.188

447.460195 -2908.96135472.541692 -2263.07167464.721234 -2413.511479.124896 -2429.01261481.565322 -2432.09052

481.47651 -2433.26118481.08901 -2433.86918480.77356 -2434.23246

0.7

62 480.554855

0.3

21 -2434.46248480.409093 -0.165 -2434.61136480.312891 -2434.70867

480.24946 -2434.7726480.207573 -2434.81476480.179856 -2434.84264

480.16148 -2434.86112

-0.190 -0.188380.0885

-0.0

53 -4231.250 0.213 4231.250

-0.1

25 -2470.9747

14 15-0.190 -0.188

380.088522 -2470.97469360.442016 -1433.27814

288.57649 -1425.63474281.007492 -1424.73833278.802124 -1425.204

277.86173 -1425.776277.31683 -1426.24375

276.960589 -1426.58423

0.7

62 276.719467

0.3

21 -1426.82256

276.555304 -0.165 -1426.9866276.443752 -1427.09847

276.3682 -1427.17434276.317182 -1427.2256276.282811 -1427.26014276.259698 -1427.28337

-0.215 -0.212

539.9276

-0.0

60

08

58

36

90

98

71

2

-5325.000 0.213 5325.000

-0.1

40

39

48

60

54

52

84

-3504.3873

19 20-0.150 -0.148

539.927575 -3504.38734687.170704 -3297.67776696.857595 -3294.269697.700884 -3295.30728697.592309 -3295.88407697.293927 -3296.28186697.029679 -3296.56721696.826519 -3296.77473

0.5

33 696.677258

0.2

25 -3296.9249

696.570164 -0.165 -3297.03226696.494528 -3297.10805696.441741 -3297.16098696.405243 -3297.19759696.380193 -3297.22274

696.363098 -3297.23991

24 250 0

0

2.631068

2809.284 -2530.716

4 -2387.729 3694.792 -1691.310 5861.659 -1691.310

2.6052391

979.586 -2019.6066227.704 -5727.296

9 -5295.824 8110.476 -4044.804 10939.408 -2025.198

2.5732031

784.047 -1701.3375224.834 -4930.166

14 -4417.874 6720.555 -3681.203 15945.607 -1979.866

2.632556

1265.690 -2580.9216722.915 -6057.085

19 -5731.303 8841.468 -4066.728 20737.931 -1485.807

366.554 -743.921

24 25



9 9 a 10 5 2391 -4981.250 4981.2501011 11 a 12 5 2391 -4981.250 4981.25012 12 a 13 5 2635 -5489.583 5489.58313 13 a 14 4 2031 -2708.000 2708.00014 14 a 15 5 2031 -4231.250 4231.2501516 16 a 17 5 1826 -3804.167 3804.16717 17 a 18 5 2106 -4387.500 4387.50018 18 a 19 4 2556 -3408.000 3408.00019 19 a 20 5 2556 -5325.000 5325.000

20



6 a 7 5 2031 10155.000 -3467.780 -4636.0717 a 8 5 2275 11375.000 -4762.603 -4647.3728 a 9 4 2391 9564.000 -3194.463 -3376.829

9 a 10 5 2391 11955.000 -5295.824 -4044.804

BF14

INGRESE CARGA

11 a 12 5 2391 11955.000 -4038.987 -5459.43912 a 13 5 2635 13175.000 -5613.861 -5226.91113 a 14 4 2031 8124.000 -2968.557 -2688.22014 a 15 5 2031 10155.000 -4417.874 -3681.203

16 a 17 5 1826 9130.000 -2924.819 -4261.00017 a 18 5 2106 10530.000 -4405.985 -4316.21018 a 19 4 2556 10224.000 -3325.719 -3727.681

19 a 20 5 2556 12780.000 -5731.303 -4066.728


BARRA L W P Mij Mji1 a 6 2.8 0 0 1580.291 -1635.4962 a 7 2.8 0 0 -159.890 -2.5173 a 8 2.8 0 0 -600.433 588.4264 a 9 2.8 0 0 861.659 -979.586

5 a 10 2.8 0 0 -1691.310 2019.6060

6 a 11 2.8 0 0 1832.284 -1975.0257 a 12 2.8 0 0 124.015 -85.8488 a 13 2.8 0 0 -864.483 1149.8029 a 14 2.8 0 0 939.408 -784.047

10 a 15 2.8 0 0 -2025.198 1701.3370

11 a 16 2.8 0 0 2063.962 -2011.49312 a 17 2.8 0 0 68.574 -92.62913 a 18 2.8 0 0 -1108.552 778.82014 a 19 2.8 0 0 945.607 -1265.69015 a 20 2.8 0 0 -1979.866 2580.921

016 a 21 4 0 0 913.327 0.00017 a 22 4 0 0 52.356 0.000

18 a 23 4 0 0 -211.671 0.000

19 a 24 4 0 0 737.931 0.00020 a 25 4 0 0 -1485.807 0.000




12 -2225.000

0.000 1.189 2.377 0.000 6 0801.000 1.242 2.484 -322.488

23 -2225.000

-801.000 1.242 2.484 322.488 7 02225.000 0.535 1.070 -2080.365 1 2225.000

-4231.250 0.856 1.712 2470.975

34 -1424.000

-508.333 1.950 3.901 130.310 8 01551.583 2.004 4.008 -387.158 2 2225.000

-1793.250 2.004 4.008 447.4604

5 -2225.0004981.250 0.856 1.712 -2908.961 9 0

-4981.250 0.856 1.712 2908.961 3 1424.000-508.333 1.950 3.901 130.310

510 0

2781.583 2.004 4.008 -694.074 4 2225.000-1523.250 2.004 4.008 380.089

61 0

4231.250 0.856 1.712 -2470.975 7 -4231.250-3804.167 0.760 1.520 2503.526 11 0

-583.333 1.722 3.444 169.386

7

2 0979.500 1.775 3.550 -275.878 8 -4739.583

-1917.000 1.775 3.550 539.928 12 0

5325.000 0.760 1.520 -3504.387 6 4231.250

8

3 0

9 -3188.000


7 4739.583Vij Vji

9

4 02485.613 -2854.387 10 -4981.2502722.351 -2617.649 14 02124.520 -2147.480 8 3188.0002809.284 -2530.716

105 0

15 04843.842 -5311.158 9 4981.2505710.546 -5664.454

116 0

4736.408 -4827.592 12 -4981.2506227.704 -5727.296 16 0

12

7 05693.410 -6261.590 13 -5489.5836664.890 -6510.110 17 04132.084 -3991.916 11 4981.2505224.834 -4930.166

13

8 0

14 -2708.0004297.764 -4832.236 18 05282.955 -5247.045 12 5489.5835011.509 -5212.491

14

9 0

6722.915 -6057.085 15 -4231.250

19 0


1510 0

Vij Vji 20 0-1148.495 -1148.495 14 4231.250

56.204 56.204

1611 0

424.593 424.593 17 -3804.167-657.588 -657.588 21 01325.327 1325.327

17

12 0

18 -4387.500-1359.753 -1359.753 22 0

-74.951 -74.951 16 3804.167719.387 719.387

18

13 0-615.520 -615.520 19 -3408.0001330.905 1330.905 23 0

17 4387.500-1455.520 -1455.520

19

14 0-57.573 -57.573 20 -5325.000674.061 674.061 24 0

-789.749 -789.749 18 3408.0001628.852 1628.852

2015 0

25 0-228.332 -228.332 19 5325.000

-13.089 -13.089 21 16 0

52.918 52.918 22 17 0

-184.483 -184.483 23 18 0371.452 371.452 24 19 0

25 20 0


CORRECION

Kij mi mj mr ALFAij MOMENTO FINAL RESTO0.213 1581.553 -141.022 0 -0.199 -1580.289 0.0050.321 1581.553 1753.318 0.046 -0.301 1580.2940.213 -141.022 -267.959 0 -0.090 -2342.334 0.0140.762 -141.022 72.154 0.046 -0.321 -159.8810.213 -141.022 1581.553 0 -0.090 2502.2290.267 -267.959 325.366 0 -0.107 -1480.147 0.0140.762 -267.959 -252.184 0.046 -0.307 -600.4250.213 -267.959 -141.022 0 -0.086 2080.586

0.213 325.366 -1413.513 0 -0.086 -2387.727 0.0140.762 325.366 480.161 0.046 -0.307 861.6680.267 325.366 -267.959 0 -0.107 1526.0730.321 -1413.513 -2434.861 0.046 -0.301 -1691.306 0.0070.213 -1413.513 325.366 0 -0.199 1691.3130.321 1753.318 1581.553 0.046 -0.188 1635.504 0.0220.213 1753.318 72.154 0 -0.125 -3467.7750.321 1753.318 2197.410 -3.581 -0.188 1832.2920.762 72.154 -141.022 0.046 -0.195 2.539 0.0560.213 72.154 -252.184 0 -0.055 -4762.5970.762 72.154 22.070 -3.581 -0.195 124.036

0.213 72.154 1753.318 0 -0.055 4636.077

0.762 -252.184 -267.959 0.046 -0.190 -588.405 0.055

0.267 -252.184 480.161 0 -0.067 -3194.455

0.762 -252.184 -626.656 -3.581 -0.190 -864.4620.213 -252.184 72.154 0 -0.053 4647.3780.762 480.161 325.366 0.046 -0.190 979.608 0.0560.213 480.161 -2434.861 0 -0.053 -5295.8180.762 480.161 276.260 -3.581 -0.190 939.4300.267 480.161 -252.184 0 -0.067 3376.8370.321 -2434.861 -1413.513 0.046 -0.188 -2019.596 0.0250.321 -2434.861 -1427.283 -3.581 -0.188 -2025.1890.213 -2434.861 480.161 0 -0.125 4044.8100.321 2197.410 1753.318 -3.581 -0.188 1975.036 0.0290.213 2197.410 22.070 0 -0.125 -4038.9800.321 2197.410 2034.166 -7.736 -0.188 2063.973

0.762 22.070 72.154 -3.581 -0.195 85.877 0.0750.213 22.070 -626.656 0 -0.055 -5613.8530.762 22.070 53.637 -7.736 -0.195 68.6030.213 22.070 2197.410 0 -0.055 5459.4480.762 -626.656 -252.184 -3.581 -0.190 -1149.773 0.0750.267 -626.656 276.260 0 -0.067 -2968.5470.762 -626.656 -193.889 -7.736 -0.190 -1108.5230.213 -626.656 22.070 0 -0.053 5226.9180.762 276.260 480.161 -3.581 -0.190 784.076 0.076

0.213 276.260 -1427.283 0 -0.053 -4417.8660.762 276.260 696.363 -7.736 -0.190 945.636

0.267 276.260 -626.656 0 -0.067 2688.230

0.321 -1427.283 -2434.861 -3.581 -0.188 -1701.324 0.0340.321 -1427.283 -3297.240 -7.736 -0.188 -1979.8530.213 -1427.283 276.260 0 -0.125 3681.2110.321 2034.166 2197.410 -7.736 -0.212 2011.502 0.0210.213 2034.166 53.637 0 -0.140 -2924.8130.225 2034.166 0.000 -9.074 -0.148 913.3330.762 53.637 22.070 -7.736 -0.221 92.654 0.0560.213 53.637 -193.889 0 -0.062 -4405.9780.533 53.637 0.000 -9.074 -0.155 52.3730.213 53.637 2034.166 0 -0.062 4261.0070.762 -193.889 -626.656 -7.736 -0.215 -778.796 0.0550.267 -193.889 696.363 0 -0.075 -3325.7110.533 -193.889 0.000 -9.074 -0.150 -211.6540.213 -193.889 53.637 0 -0.060 4316.2160.762 696.363 276.260 -7.736 -0.215 1265.714 0.0560.213 696.363 -3297.240 0 -0.060 -5731.2960.533 696.363 0.000 -9.074 -0.150 737.9480.267 696.363 -193.889 0 -0.075 3727.6900.321 -3297.240 -1427.283 -7.736 -0.212 -2580.910 0.0250.225 -3297.240 0.000 -9.074 -0.148 -1485.8000.213 -3297.240 696.363 0 -0.140 4066.7350.225 0 2034.16575 -9.07366527 0.000 455.646

0.533 0 53.6367243 -9.07366527 0.000 23.767

0.533 0 -193.889142 -9.07366527 0.000 -108.2470.533 0 696.363098 -9.07366527 0.000 366.5540.225 0 -3297.23991 -9.07366527 0.000 -743.921


CORRECION


-0.002 -2387.729 0-0.009 861.659-0.003 1526.070-0.004 -1691.310 0-0.003 1691.310-0.008 1635.496 0-0.005 -3467.780-0.008 1832.284-0.022 2.517 0-0.006 -4762.603-0.022 124.015

-0.006 4636.071

-0.021 -588.426 0

-0.007 -3194.463

-0.021 -864.483-0.006 4647.372-0.021 979.586 0-0.006 -5295.824-0.021 939.408-0.007 3376.829-0.010 -2019.606 0-0.010 -2025.198-0.006 4044.804-0.011 1975.025 0-0.007 -4038.987-0.011 2063.962

-0.029 85.848 0-0.008 -5613.861-0.029 68.574-0.008 5459.439-0.028 -1149.802 0-0.010 -2968.557-0.028 -1108.552-0.008 5226.911-0.029 784.047 0

-0.008 -4417.874-0.029 945.607

-0.010 2688.220

-0.013 -1701.337 0-0.013 -1979.866-0.008 3681.203-0.009 2011.493 0-0.006 -2924.819-0.006 913.327-0.025 92.629 0-0.007 -4405.985-0.017 52.356-0.007 4261.000-0.024 -778.820 0-0.008 -3325.719-0.017 -211.671-0.007 4316.210-0.024 1265.690 0-0.007 -5731.303-0.017 737.931-0.008 3727.681-0.011 -2580.921 0-0.007 -1485.807-0.007 4066.728

455.646

23.767

-108.247366.554

-743.921






1 a 2 5 0.2 0.4 0.00107 0.213

2 a 3 5 0.2 0.4 0.00107 0.2133 a 4 4 0.2 0.4 0.00107 0.2674 a 5 5 0.2 0.4 0.00107 0.213

6 a 7 5 0.2 0.4 0.00107 0.2137 a 8 5 0.2 0.4 0.00107 0.2138 a 9 4 0.2 0.4 0.00107 0.267

9 a 10 5 0.2 0.4 0.00107 0.213

11 a 12 5 0.2 0.4 0.00107 0.21312 a 13 5 0.2 0.4 0.00107 0.21313 a 14 4 0.2 0.4 0.00107 0.26714 a 15 5 0.2 0.4 0.00107 0.213

16 a 17 5 0.2 0.4 0.00107 0.21317 a 18 5 0.2 0.4 0.00107 0.21318 a 19 4 0.2 0.4 0.00107 0.26719 a 20 5 0.2 0.4 0.00107 0.213



1 a 6 2.8 0.4 0.3 0.00090 0.3212 a 7 2.8 0.4 0.4 0.00213 0.7623 a 8 2.8 0.4 0.4 0.00213 0.7624 a 9 2.8 0.4 0.4 0.00213 0.762

5 a 10 2.8 0.4 0.3 0.00090 0.321

6 a 11 2.8 0.4 0.3 0.00090 0.3217 a 12 2.8 0.4 0.4 0.00213 0.7628 a 13 2.8 0.4 0.4 0.00213 0.7629 a 14 2.8 0.4 0.4 0.00213 0.762

10 a 15 2.8 0.4 0.3 0.00090 0.321


G10


C12

INGRESE LONGITUD

D12

INGRESE BASE

E12

INGRESE ALTURA

F12

MOMENTO DE INERCIA

G12


C36


D36

INGRESE BASE

E36

INGRESE ANCHO

11 a 16 2.8 0.4 0.3 0.00090 0.32112 a 17 2.8 0.4 0.4 0.00213 0.76213 a 18 2.8 0.4 0.4 0.00213 0.76214 a 19 2.8 0.4 0.4 0.00213 0.76215 a 20 2.8 0.4 0.3 0.00090 0.321

16 a 21 4 0.4 0.3 0.00090 0.22517 a 22 4 0.4 0.4 0.00213 0.53318 a 23 4 0.4 0.4 0.00213 0.533

19 a 24 4 0.4 0.4 0.00213 0.53320 a 25 4 0.4 0.3 0.00090 0.225



CODIGO: 041310

0.001

2080.3651

-0.1

99

46

57

16

82

99

2

-2225.000 0.213

1-0.301

mi= 2080.365090 0 1206.12248

-29.74104834 1432.03387-6.444790312 1365.22633-2.696749048 1362.060250.887601866 1359.16416

3.1166930173 1358.403664.5364093364 1358.19321

5.4446620899

0.3

21 1358.09163

6.0288862709 -0.165 1358.025176.4073048763 1357.986.6539840685 1357.949716.8156235488 1357.929626.9219747869 1357.916346.9921749903 1357.907567.0386308818

-0.188

2908.9613

-0.1

24

58

28

69

85

53

95

-4981.250 0.213

6-0.188

2908.961350 2226.45671

0 2409.15322-29.09224852 2412.30447-21.42622178 2415.76336-15.15302414 2415.99483-11.41711411 2415.56919-8.808356239 2415.1864

-7.02724

0.3

21 2414.92672

-5.819207381 -0.165 2414.75828-5.004456847 2414.64888




N12


P12


Q12


N13

NUDO

N14


O23


M24


-4.457321403 2414.57726-4.090843064 2414.5301-3.845697387 2414.49891-3.681816879 2414.47824-3.572292182-3.499102157

-0.1882470.9747

-0.1

24

58

28

69

85

53

95

-4231.250 0.213

11-0.188

2470.974690 1427.11924

0 1454.52356-21.41435601 1439.89111-15.40944617 1436.35348-12.21379781 1435.21547-9.507084317 1434.62799-7.563086079 1434.24616-6.171795324

0.3

21 1433.98284

-5.187357792 -0.165 1433.8009-4.49737565 1433.67631

-4.017833821 1433.59163-3.68705818 1433.53437

-3.460365088 1433.49577-3.305823357 1433.4698-3.200913786-3.129934437

-0.212

3120.4951

-0.1

40 -4741.667 0.213

16-0.148

0 3120.495140 2833.05156

2.5272132907 2862.633011.5122635702 2866.281142.5924747238 2866.400183.2781210253 2866.026153.9343133763 2865.699714.4427129377 2865.457724.8173328489

0.2

25 2865.28521

5.0869768917 -0.165 2865.163725.2783377178 2865.07885.4127122003 2865.019865.5062172826 2864.979255.5707720091 2864.95144

5.615044768 2864.932485.645243503

210


2.34041068

2499.581

1 -1651.282 2925.049

1651.282

2.38372391

1990.8885699.408

6 -4002.676 6792.817

2011.788

S117


S118

CARGA

Q120

CORTANTE FINAL 1-2

N121

NUDO

Q121

MOMENTO FINAL 1-2

S121

MOMENTO MAXIMO (+)

N122

MOMENTO FINAL 1-6

2.38552031

1696.4614844.930

11 -3537.830 5778.767

1841.369

2.3582276

2301.4845366.890

16 -3591.966 6327.660

1290.482

645.880

21

HOJA DE ITERACIONES

2225.000

-0.0

89

74

35

89

74

35

89

7

0-0

.08

97

43

58

97

43

58

97

-2225.000 0.213

2-0.321

0-59.4444974-34.8806668-29.4029847-25.4957739-25.3904126-25.8331009-26.1155383

0.7

62 -26.2713565

-0.390 -26.3612888-26.4162713-26.4511613

-26.473751-26.4885325-26.4982621

-0.195

4981.250

-0.0

54

68

75

-61.95068

-0.0

54

68

75

-4739.583 0.213

7-0.195

-61.9506836-207.379143-219.955597-236.001401-239.195106-240.207219-240.755091

-241.13094

0.7

62 -241.389894

-0.390 -241.564084-241.679738




-241.756202-241.806748-241.840207-241.862389

-0.1954231.250

-0.0

54

68

75

322.5708

-0.0

54

68

75

-5489.583 0.213

12-0.195

322.570801336.522331

384.05768387.478647386.378043385.438915384.792447

384.35862

0.7

62 384.065534

-0.390 383.866563383.73153

383.640116383.578398383.536825383.508872

-0.221

4741.667

-0.0

61

94

69

02

65

48

67

3

-102.8415

-0.0

61

94

69

02

65

48

67

3

-4387.500 0.213

17-0.155

-102.841538-325.233837-337.149079-338.620964-339.043596-339.454358-339.787855-340.040718

0.5

33 -340.225244

-0.390 -340.356986-340.449736-340.514355-340.558997-340.589627

-340.610527

220


2.531068

-2840.419 2702.053

-2503.378 2 -2284.076 3418.114

-219.302

2.5372275

-383.404-6255.592 5771.202

-5393.137 7 -4930.686 7320.170

-79.046

2.5032635

397.418-5310.070 6595.172

-4700.678 12 -5420.558 8253.566

322.463

2.5452106

-229.242-6013.110 5359.668

-5207.517 17 -4617.947 6820.049

-360.328

-178.648

22

HOJA DE ITERACIONES

2225.000

-0.0

85

88

95

70

55

21

47

2

-322.4885

-0.1

07

36

19

63

19

01

84

-1424.000 0.267 1424.000

-0.1

07

36

19

63

19

01

84

322.4885

3 4-0.307 -0.307

-322.488497-196.505755-229.020263-225.471093

-225.14419-223.797229-223.553351

-223.61695

0.7

62 -223.710068

-0.390 -223.781625 -0.390-223.83051

-223.862899-223.884212

-223.89824-223.907493

-0.190 -0.190

4739.583

-0.0

53

23

19

39

16

34

98

1

-506.9303

-0.0

66

53

99

23

95

43

72

6

-2708.000 0.267 2708.000

-0.0

66

53

99

23

95

43

72

6

567.2321

8 9-0.190 -0.190

-506.930252-387.093252-396.747356-403.769272-408.082885-409.981996-410.840566-411.297998

0.7

62 -411.572792

-0.390 -411.747154 -0.390-411.860323

-411.934524-411.983435-412.015782-412.037224

-0.190 -0.1905489.583

-0.0

53 -574.3019

-0.0

67 -3188.000 0.267 3188.000

-0.0

67 260.3167

13 14-0.190 -0.190

-574.301925-451.369212-448.255478-441.747018-441.321659-441.749193-442.231175-442.610892

0.7

62 -442.88355

-0.390 -443.072935 -0.390-443.202546-443.290561-443.350055-443.390152-443.417121

-0.215 -0.215

4387.500

-0.0

60

08

58

36

90

98

71

2

-444.8699

-0.0

75

10

72

96

13

73

39

1

-2808.000 0.267 2808.000

-0.0

75

10

72

96

13

73

39

1

708.919

18 19-0.150 -0.150

-444.869903-381.712599-392.726779-396.206151-397.228174-397.792658-398.159252-398.413619

0.5

33 -398.593166

-0.390 -398.719789 -0.390-398.808516-398.870208-398.912784-398.941977

-398.961887

23 240

1.99321068

-2637.947 2128.746 -2143.254

-2123.810 3 -1474.037 2121.516 -1503.055 4-649.773 907.852

1.97522031

-793.124 1215.622-5603.798 4011.581 -4112.419

-4512.177 8 -2750.654 3961.787 -2952.331 9-968.399 1057.042

2.03192391

-992.316 598.698-6579.828 4858.171 -4705.829

-5382.198 13 -3407.810 4935.556 -3103.125 14-982.072 798.524

1.94992106

-948.196 1456.409-5170.332 4106.586 -4317.414

-4144.605 18 -2773.841 4003.810 -3195.498 19-422.568 990.786

-209.769 496.908

23 24

322.4885

-0.0

85

88

95

70

55

21

47

2

-2225.000 0.213 2225.000

-0.1

99

46

57

16

82

99

2

-2080.3651

4 5-0.307 -0.301

322.488497 -2080.36509348.269841 -1275.59037271.852127 -1439.09576275.035426 -1398.74214264.488755 -1391.96849261.628563 -1391.25133260.843616 -1391.32654260.547539 -1391.47723

0.7

62 260.401894

0.3

21 -1391.59327

260.318196 -0.165 -1391.67127260.266326 -1391.72223260.233087 -1391.75545260.211462 -1391.77718260.197282 -1391.79145260.187941 -1391.80085

-0.190 -0.188

567.2321

-0.0

53

23

19

39

16

34

98

1

-4981.250 0.213 4981.250

-0.1

24

58

28

69

85

53

95

-2908.9613

9 10-0.190 -0.188

567.232058 -2908.96135632.138011 -2284.45256643.003495 -2444.13451662.224174 -2463.42138665.595991 -2467.49369665.639665 -2468.95157665.228475 -2469.67335664.869814 -2470.09882

0.7

62 664.615982

0.3

21 -2470.36797664.445607 -0.165 -2470.54239

664.33289 -2470.65648

664.258511 -2470.73146664.209379 -2470.78092664.176864 -2470.81363664.155307 -2470.83531

-0.190 -0.188260.3167

-0.0

53 -4231.250 0.213 4231.250

-0.1

25 -2470.9747

14 15-0.190 -0.188

260.316659 -2470.97469166.931704 -1405.1566978.8539622 -1386.4803868.5537304 -1383.8183165.6688675 -1384.1180264.4875332 -1384.7625463.8315324 -1385.3079963.4113581 -1385.70588

0.7

62 63.1286448

0.3

21 -1385.98455

62.9362957 -0.165 -1386.1765662.8055255 -1386.30765

62.716914 -1386.3966262.6570595 -1386.4567562.6167302 -1386.4972762.5896077 -1386.52453

-0.215 -0.212

708.919

-0.0

60

08

58

36

90

98

71

2

-5325.000 0.213 5325.000

-0.1

40

39

48

60

54

52

84

-3504.3873

19 20-0.150 -0.148

708.918991 -3504.38734912.330185 -3335.23759

926.11046 -3336.9673927.54992 -3338.85245

927.510997 -3339.61952927.169155 -3340.10928926.851152 -3340.45763926.606425 -3340.70869

0.5

33 926.428138

0.2

25 -3340.88842

926.301155 -0.165 -3341.01586926.211887 -3341.10537926.149747 -3341.16769926.106842 -3341.21075926.077415 -3341.2403

926.057343 -3341.26046

24 250 0

0

2.6361068

2814.848 -2525.152

4 -2410.907 3709.442 -1686.669 5907.852 -1686.669

2.5972391

1215.622 -2033.5076208.758 -5746.242

9 -5224.996 8061.203 -4068.706 101057.042 -2035.199

2.5832031

598.698 -1686.6745246.968 -4908.032

14 -4500.346 6777.614 -3653.009 15798.524 -1966.335

2.6212556

1456.409 -2594.6406699.149 -6080.851

19 -5642.692 8779.069 -4096.946 20990.786 -1502.306

496.908 -750.513

24 25



9 9 a 10 5 2391 -4981.250 4981.2501011 11 a 12 5 2031 -4231.250 4231.25012 12 a 13 5 2635 -5489.583 5489.58313 13 a 14 4 2391 -3188.000 3188.00014 14 a 15 5 2031 -4231.250 4231.2501516 16 a 17 5 2276 -4741.667 4741.66717 17 a 18 5 2106 -4387.500 4387.50018 18 a 19 4 2106 -2808.000 2808.00019 19 a 20 5 2556 -5325.000 5325.000

20



6 a 7 5 2391 11955.000 -4002.676 -5393.1377 a 8 5 2275 11375.000 -4930.686 -4512.1778 a 9 4 2031 8124.000 -2750.654 -2952.331

9 a 10 5 2391 11955.000 -5224.996 -4068.706

BF14

INGRESE CARGA

11 a 12 5 2031 10155.000 -3537.830 -4700.67812 a 13 5 2635 13175.000 -5420.558 -5382.19813 a 14 4 2391 9564.000 -3407.810 -3103.12514 a 15 5 2031 10155.000 -4500.346 -3653.009

16 a 17 5 2276 11380.000 -3591.966 -5207.51717 a 18 5 2106 10530.000 -4617.947 -4144.60518 a 19 4 2106 8424.000 -2773.841 -3195.498

19 a 20 5 2556 12780.000 -5642.692 -4096.946



5 a 10 2.8 0 0 -1686.669 2033.5070

6 a 11 2.8 0 0 2011.788 -1696.4617 a 12 2.8 0 0 -79.046 -397.4188 a 13 2.8 0 0 -968.399 992.3169 a 14 2.8 0 0 1057.042 -598.698

10 a 15 2.8 0 0 -2035.199 1686.6740

11 a 16 2.8 0 0 1841.369 -2301.48412 a 17 2.8 0 0 322.463 229.24213 a 18 2.8 0 0 -982.072 948.19614 a 19 2.8 0 0 798.524 -1456.40915 a 20 2.8 0 0 -1966.335 2594.640

016 a 21 4 0 0 1290.482 0.00017 a 22 4 0 0 -360.328 0.000

18 a 23 4 0 0 -422.568 0.000

19 a 24 4 0 0 990.786 0.00020 a 25 4 0 0 -1502.306 0.000




12 -2225.000

0.000 1.189 2.377 0.000 6 0801.000 1.242 2.484 -322.488

23 -2225.000

-801.000 1.242 2.484 322.488 7 02225.000 0.535 1.070 -2080.365 1 2225.000

-4981.250 0.856 1.712 2908.961

34 -1424.000

241.667 1.950 3.901 -61.951 8 02031.583 2.004 4.008 -506.930 2 2225.000

-2273.250 2.004 4.008 567.2324

5 -2225.0004981.250 0.856 1.712 -2908.961 9 0

-4231.250 0.856 1.712 2470.975 3 1424.000-1258.333 1.950 3.901 322.571

510 0

2301.583 2.004 4.008 -574.302 4 2225.000-1043.250 2.004 4.008 260.317

61 0

4231.250 0.856 1.712 -2470.975 7 -4981.250-4741.667 0.760 1.520 3120.495 11 0

354.167 1.722 3.444 -102.842

7

2 01579.500 1.775 3.550 -444.870 8 -4739.583

-2517.000 1.775 3.550 708.919 12 0

5325.000 0.760 1.520 -3504.387 6 4981.250

8

3 0

9 -2708.000


7 4739.583Vij Vji

9

4 02499.581 -2840.419 10 -4981.2502702.053 -2637.947 14 02128.746 -2143.254 8 2708.0002814.848 -2525.152

105 0

15 05699.408 -6255.592 9 4981.2505771.202 -5603.798

116 0

4011.581 -4112.419 12 -4231.2506208.758 -5746.242 16 0

12

7 04844.930 -5310.070 13 -5489.5836595.172 -6579.828 17 04858.171 -4705.829 11 4231.2505246.968 -4908.032

13

8 0

14 -3188.0005366.890 -6013.110 18 05359.668 -5170.332 12 5489.5834106.586 -4317.414

14

9 0

6699.149 -6080.851 15 -4231.250

19 0


1510 0

Vij Vji 20 0-1300.775 -1300.775 14 4231.250

215.252 215.252

1611 0

515.320 515.320 17 -4741.667-758.384 -758.384 21 01328.634 1328.634

17

12 0

18 -4387.500-1324.375 -1324.375 22 0

-113.704 -113.704 16 4741.667700.255 700.255

18

13 0-591.336 -591.336 19 -2808.0001329.240 1329.240 23 0

17 4387.500-1479.590 -1479.590

19

14 0-33.293 -33.293 20 -5325.000689.382 689.382 24 0

-805.333 -805.333 18 2808.0001628.920 1628.920

2015 0

25 0-322.621 -322.621 19 5325.000

90.082 90.082 21 16 0

105.642 105.642 22 17 0

-247.696 -247.696 23 18 0375.576 375.576 24 19 0

25 20 0


CORRECION

Kij mi mj mr ALFAij MOMENTO FINAL RESTO0.213 1357.908 -26.498 0 -0.199 -1651.279 0.0060.321 1357.908 2414.478 7.039 -0.301 1651.2850.213 -26.498 -223.907 0 -0.090 -2284.073 0.0170.762 -26.498 -241.862 7.039 -0.321 -219.2920.213 -26.498 1357.908 0 -0.090 2503.3810.267 -223.907 260.188 0 -0.107 -1474.034 0.0170.762 -223.907 -412.037 7.039 -0.307 -649.7630.213 -223.907 -26.498 0 -0.086 2123.813

0.213 260.188 -1391.801 0 -0.086 -2410.904 0.0170.762 260.188 664.155 7.039 -0.307 907.8630.267 260.188 -223.907 0 -0.107 1503.0580.321 -1391.801 -2470.835 7.039 -0.301 -1686.664 0.0080.213 -1391.801 260.188 0 -0.199 1686.6720.321 2414.478 1357.908 7.039 -0.188 1990.897 0.0250.213 2414.478 -241.862 0 -0.125 -4002.6700.321 2414.478 1433.470 -3.499 -0.188 2011.7980.762 -241.862 -26.498 7.039 -0.195 -383.379 0.0650.213 -241.862 -412.037 0 -0.055 -4930.6790.762 -241.862 383.509 -3.499 -0.195 -79.021

0.213 -241.862 2414.478 0 -0.055 5393.144

0.762 -412.037 -223.907 7.039 -0.190 -793.100 0.065

0.267 -412.037 664.155 0 -0.067 -2750.645

0.762 -412.037 -443.417 -3.499 -0.190 -968.3740.213 -412.037 -241.862 0 -0.053 4512.1830.762 664.155 260.188 7.039 -0.190 1215.647 0.0660.213 664.155 -2470.835 0 -0.053 -5224.9890.762 664.155 62.590 -3.499 -0.190 1057.0680.267 664.155 -412.037 0 -0.067 2952.3400.321 -2470.835 -1391.801 7.039 -0.188 -2033.496 0.0300.321 -2470.835 -1386.525 -3.499 -0.188 -2035.1870.213 -2470.835 664.155 0 -0.125 4068.7130.321 1433.470 2414.478 -3.499 -0.188 1696.474 0.0340.213 1433.470 383.509 0 -0.125 -3537.8210.321 1433.470 2864.932 -3.130 -0.188 1841.381

0.762 383.509 -241.862 -3.499 -0.195 397.452 0.0880.213 383.509 -443.417 0 -0.055 -5420.5490.762 383.509 -340.611 -3.130 -0.195 322.4970.213 383.509 1433.470 0 -0.055 4700.6870.762 -443.417 -412.037 -3.499 -0.190 -992.282 0.0870.267 -443.417 62.590 0 -0.067 -3407.7990.762 -443.417 -398.962 -3.130 -0.190 -982.0390.213 -443.417 383.509 0 -0.053 5382.2070.762 62.590 664.155 -3.499 -0.190 598.732 0.089

0.213 62.590 -1386.525 0 -0.053 -4500.3370.762 62.590 926.057 -3.130 -0.190 798.557

0.267 62.590 -443.417 0 -0.067 3103.137

0.321 -1386.525 -2470.835 -3.499 -0.188 -1686.659 0.0400.321 -1386.525 -3341.260 -3.130 -0.188 -1966.3200.213 -1386.525 62.590 0 -0.125 3653.0190.321 2864.932 1433.470 -3.130 -0.212 2301.494 0.0250.213 2864.932 -340.611 0 -0.140 -3591.9590.225 2864.932 0.000 5.645 -0.148 1290.4900.762 -340.611 383.509 -3.130 -0.221 -229.213 0.0660.213 -340.611 -398.962 0 -0.062 -4617.9390.533 -340.611 0.000 5.645 -0.155 -360.3070.213 -340.611 2864.932 0 -0.062 5207.5250.762 -398.962 -443.417 -3.130 -0.215 -948.168 0.0650.267 -398.962 926.057 0 -0.075 -2773.8310.533 -398.962 0.000 5.645 -0.150 -422.5490.213 -398.962 -340.611 0 -0.060 4144.6130.762 926.057 62.590 -3.130 -0.215 1456.438 0.0660.213 926.057 -3341.260 0 -0.060 -5642.6840.533 926.057 0.000 5.645 -0.150 990.8050.267 926.057 -398.962 0 -0.075 3195.5070.321 -3341.260 -1386.525 -3.130 -0.212 -2594.628 0.0300.225 -3341.260 0.000 5.645 -0.148 -1502.2970.213 -3341.260 926.057 0 -0.140 4096.9540.225 0 2864.93248 5.6452435 0.000 645.880

0.533 0 -340.610527 5.6452435 0.000 -178.648

0.533 0 -398.961887 5.6452435 0.000 -209.7690.533 0 926.057343 5.6452435 0.000 496.9080.225 0 -3341.26046 5.6452435 0.000 -750.513


CORRECION


-0.003 -2410.907 0-0.010 907.852-0.004 1503.055-0.005 -1686.669 0-0.003 1686.669-0.010 1990.888 0-0.006 -4002.676-0.010 2011.788-0.026 -383.404 0-0.007 -4930.686-0.026 -79.046

-0.007 5393.137

-0.025 -793.124 0

-0.009 -2750.654

-0.025 -968.399-0.007 4512.177-0.025 1215.622 0-0.007 -5224.996-0.025 1057.042-0.009 2952.331-0.011 -2033.507 0-0.011 -2035.199-0.007 4068.706-0.013 1696.461 0-0.009 -3537.830-0.013 1841.369

-0.034 397.418 0-0.010 -5420.558-0.034 322.463-0.010 4700.678-0.033 -992.316 0-0.012 -3407.810-0.033 -982.072-0.009 5382.198-0.034 598.698 0

-0.009 -4500.346-0.034 798.524

-0.012 3103.125

-0.015 -1686.674 0-0.015 -1966.335-0.010 3653.009-0.011 2301.484 0-0.007 -3591.966-0.007 1290.482-0.029 -229.242 0-0.008 -4617.947-0.020 -360.328-0.008 5207.517-0.028 -948.196 0-0.010 -2773.841-0.019 -422.568-0.008 4144.605-0.028 1456.409 0-0.008 -5642.692-0.020 990.786-0.010 3195.498-0.013 -2594.640 0-0.009 -1502.306-0.008 4096.946

645.880

-178.648

-209.769496.908

-750.513






1 a 2 5 0.2 0.4 0.00107 0.213

2 a 3 5 0.2 0.4 0.00107 0.2133 a 4 4 0.2 0.4 0.00107 0.2674 a 5 5 0.2 0.4 0.00107 0.213

6 a 7 5 0.2 0.4 0.00107 0.2137 a 8 5 0.2 0.4 0.00107 0.2138 a 9 4 0.2 0.4 0.00107 0.267

9 a 10 5 0.2 0.4 0.00107 0.213

11 a 12 5 0.2 0.4 0.00107 0.21312 a 13 5 0.2 0.4 0.00107 0.21313 a 14 4 0.2 0.4 0.00107 0.26714 a 15 5 0.2 0.4 0.00107 0.213

16 a 17 5 0.2 0.4 0.00107 0.21317 a 18 5 0.2 0.4 0.00107 0.21318 a 19 4 0.2 0.4 0.00107 0.26719 a 20 5 0.2 0.4 0.00107 0.213



1 a 6 2.8 0.4 0.3 0.00090 0.3212 a 7 2.8 0.4 0.4 0.00213 0.7623 a 8 2.8 0.4 0.4 0.00213 0.7624 a 9 2.8 0.4 0.4 0.00213 0.762

5 a 10 2.8 0.4 0.3 0.00090 0.321

6 a 11 2.8 0.4 0.3 0.00090 0.3217 a 12 2.8 0.4 0.4 0.00213 0.7628 a 13 2.8 0.4 0.4 0.00213 0.7629 a 14 2.8 0.4 0.4 0.00213 0.762

10 a 15 2.8 0.4 0.3 0.00090 0.321


G10


C12

INGRESE LONGITUD

D12

INGRESE BASE

E12

INGRESE ALTURA

F12

MOMENTO DE INERCIA

G12


C36


D36

INGRESE BASE

E36

INGRESE ANCHO

11 a 16 2.8 0.4 0.3 0.00090 0.32112 a 17 2.8 0.4 0.4 0.00213 0.76213 a 18 2.8 0.4 0.4 0.00213 0.76214 a 19 2.8 0.4 0.4 0.00213 0.76215 a 20 2.8 0.4 0.3 0.00090 0.321

16 a 21 4 0.4 0.3 0.00090 0.22517 a 22 4 0.4 0.4 0.00213 0.53318 a 23 4 0.4 0.4 0.00213 0.533

19 a 24 4 0.4 0.4 0.00213 0.53320 a 25 4 0.4 0.3 0.00090 0.225



CODIGO: 041310

0.001

2080.3651

-0.1

99

46

57

16

82

99

2

-2225.000 0.213

1-0.301

mi= 2080.365090 0 1337.75249

-34.15842373 1638.46142-13.00434958 1607.63772-10.17918772 1618.79717-7.225292517 1620.13269-5.466328578 1620.31557-4.367338159 1620.27469

-3.667333751

0.3

21 1620.20655

-3.216387235 -0.165 1620.1533-2.92356647 1620.117-2.73230607 1620.09304

-2.606813145 1620.0773-2.524173639 1620.06695

-2.46959432 1620.06012-2.433461876

-0.188

2470.9747

-0.1

24

58

28

69

85

53

95

-4231.250 0.213

6-0.188

2470.974690 1633.64334

0 1733.45419-24.21318203 1705.64987-17.73014496 1700.39463-12.79287879 1698.76792-9.850472273 1698.1007-7.747698187 1697.75544-6.318381935

0.3

21 1697.55067

-5.359026757 -0.165 1697.42091-4.717511758 1697.33649




N12


P12


Q12


N13

NUDO

N14


O23


M24


-4.288997852 1697.28101-4.002806778 1697.24439

-3.81165022 1697.22014-3.683954133 1697.20406-3.598641783-3.541640981

-0.1882908.9613

-0.1

24

58

28

69

85

53

95

-4981.250 0.213

11-0.188

2908.961350 2140.09731

0 2256.53841-23.9046071 2263.62793

-18.61325589 2264.61604-16.27895228 2264.40092

-14.307182 2264.04143-12.88057796 2263.7503-11.83383927

0.3

21 2263.54217

-11.07940984 -0.165 2263.39859-10.54518834 2263.3008

-10.1721071 2263.23459-9.914265328 2263.18989-9.737451301 2263.15979-9.616909893 2263.13955

-9.53509601-9.479755643

-0.212

2503.5255

-0.1

40 -3804.167 0.213

16-0.148

0 2503.525540 1988.82526

-16.96290344 1975.07685-18.73356175 1971.34128-17.34814764 1970.36954-16.66417351 1969.93131

-16.1430954 1969.67408-15.76724284 1969.49411-15.48985097

0.2

25 1969.36417

-15.28636613 -0.165 1969.27108-15.13964316 1969.20534-15.03562881 1969.15949-14.96290374 1969.12783-14.91259197 1969.10613

-14.87806321 1969.09135-14.85450885

210


2.33531068

2494.095

1 -1586.212 2912.223

1586.212

2.36982031

1611.0044813.005

6 -3428.355 5702.859

1817.352

S117


S118

CARGA

Q120

CORTANTE FINAL 1-2

N121

NUDO

Q121

MOMENTO FINAL 1-2

S121

MOMENTO MAXIMO (+)

N122

MOMENTO FINAL 1-6

2.3962391

1999.2575728.829

11 -4083.997 6863.129

2084.741

2.33211826

1990.2274258.325

16 -2872.970 4965.315

882.743

439.703

21

HOJA DE ITERACIONES

2225.000

-0.0

89

74

35

89

74

35

89

7

0-0

.08

97

43

58

97

43

58

97

-2225.000 0.213

2-0.321

0-194.501512-222.227587-240.538312-243.766357-244.882469-245.328043-245.520939

0.7

62 -245.624906

-0.390 -245.688603-245.729455

-245.75605-245.773471-245.784928-245.792485

-0.195

4231.250

-0.0

54

68

75

322.5708

-0.0

54

68

75

-5489.583 0.213

7-0.195

322.570801314.726387367.265536370.256948370.929239370.515003370.080167369.764979

0.7

62 369.554375

-0.390 369.416158369.325511




369.265882369.226535369.200502369.183242

-0.1954981.250

-0.0

54

68

75

-61.95068

-0.0

54

68

75

-4739.583 0.213

12-0.195

-61.9506836-298.987173

-311.02625-316.367276-318.129648-318.896234-319.382262-319.714109

0.7

62 -319.941786

-0.390 -320.097205-320.202748-320.274142

-320.3223-320.354717-320.376505

-0.221

3804.167

-0.0

61

94

69

02

65

48

67

3

441.6137

-0.0

61

94

69

02

65

48

67

3

-5325.000 0.213

17-0.155

441.613662418.006542427.827422

428.28186428.0351

427.709933427.456922427.266813

0.5

33 427.126659

-0.390 427.025418426.953575426.903308426.868515426.844626

426.828325

220


2.5521068

-2845.905 2725.909

-2465.739 2 -2370.618 3478.736

-95.121

2.5072635

373.421-5341.995 6605.007

-4750.833 7 -5440.004 8278.199

315.750

2.5372275

-209.636-6226.171 5771.226

-5327.352 12 -4947.476 7320.231

-170.240

2.5042556

399.063-4871.675 6401.286

-4406.347 17 -5252.755 8015.739

447.345

219.719

22

HOJA DE ITERACIONES

2225.000

-0.0

85

88

95

70

55

21

47

2

-322.4885

-0.1

07

36

19

63

19

01

84

-1424.000 0.267 1424.000

-0.1

07

36

19

63

19

01

84

322.4885

3 4-0.307 -0.307

-322.488497-164.239609-192.572191-188.535482-190.384989

-190.4055-190.587184-190.734898

0.7

62 -190.830253

-0.390 -190.890897 -0.390-190.929929-190.955299-190.971898-190.982808-190.990003

-0.190 -0.190

5489.583

-0.0

53

23

19

39

16

34

98

1

-574.3019

-0.0

66

53

99

23

95

43

72

6

-3188.000 0.267 3188.000

-0.0

66

53

99

23

95

43

72

6

260.3167

8 9-0.190 -0.190

-574.301925-480.778039-497.985639-502.142858-503.719477-504.563738-505.059977-505.373977

0.7

62 -505.577835

-0.390 -505.711095 -0.390-505.798539

-505.856109-505.894118-505.919273-505.935954

-0.190 -0.1904739.583

-0.0

53 -506.9303

-0.0

67 -2708.000 0.267 2708.000

-0.0

67 567.2321

13 14-0.190 -0.190

-506.930252-334.707666-331.942265-330.698084-331.655312-332.299082-332.753655-333.071839

0.7

62 -333.291184

-0.390 -333.44099 -0.390-333.542727-333.611558-333.657999-333.689268

-333.71029

-0.215 -0.215

5325.000

-0.0

60

08

58

36

90

98

71

2

-539.9276

-0.0

75

10

72

96

13

73

39

1

-3408.000 0.267 3408.000

-0.0

75

10

72

96

13

73

39

1

275.8785

18 19-0.150 -0.150

-539.927575-513.938656-512.934971-513.485964-513.812782-514.133122-514.377057-514.559369

0.5

33 -514.69354

-0.390 -514.790348 -0.390-514.858973-514.906945-514.940125-514.962892

-514.978421

23 240

1.95631068

-2614.091 2089.329 -2182.671

-2091.073 3 -1412.704 2043.678 -1599.387 4-678.369 792.286

2.02612391

-918.339 616.475-6569.993 4844.468 -4719.532

-5352.471 8 -3406.209 4907.751 -3156.338 9-1027.923 755.104

1.97312031

-896.710 1070.369-5603.774 4007.265 -4116.735

-4528.846 13 -2724.012 3953.267 -2942.954 14-908.124 1174.937

2.01392556

-1046.229 968.761-6378.714 5147.640 -5076.360

-5196.327 18 -3592.850 5183.528 -3450.291 19-557.248 351.314

-282.578 171.704

23 24

322.4885

-0.0

85

88

95

70

55

21

47

2

-2225.000 0.213 2225.000

-0.1

99

46

57

16

82

99

2

-2080.3651

4 5-0.307 -0.301

322.488497 -2080.36509438.951512 -1425.30826404.725395 -1644.01698

428.34054 -1628.26976425.489404 -1628.52724424.924678 -1629.24183424.732706 -1629.55142424.601168 -1629.71362

0.7

62 424.511016

0.3

21 -1629.81071

424.451365 -0.165 -1629.87204424.412329 -1629.9116424.386804 -1629.93736424.370072 -1629.95422424.359069 -1629.96531424.351811 -1629.97262

-0.190 -0.188

260.3167

-0.0

53

23

19

39

16

34

98

1

-4231.250 0.213 4231.250

-0.1

24

58

28

69

85

53

95

-2470.9747

9 10-0.190 -0.188

260.316659 -2470.97469232.552715 -1686.36725194.238865 -1775.59222196.946511 -1775.66832195.912896 -1775.86967195.043436 -1776.47109194.511644 -1776.94309194.184324 -1777.26019

0.7

62 193.976252

0.3

21 -1777.46747193.841521 -0.165 -1777.60275193.753427 -1777.69136

193.695503 -1777.74964193.657275 -1777.78809193.631979 -1777.81353193.615206 -1777.83039

-0.190 -0.188567.2321

-0.0

53 -4981.250 0.213 4981.250

-0.1

25 -2908.9613

14 15-0.190 -0.188

567.232058 -2908.96135647.69321 -2131.11421

608.636756 -2175.89018609.735404 -2181.63647609.329055 -2183.0371608.798598 -2183.72177

608.36559 -2184.18133608.050979 -2184.5012

0.7

62 607.831532

0.3

21 -2184.72221

607.681091 -0.165 -2184.87345607.57881 -2184.97625

607.509591 -2185.04582607.462886 -2185.09276607.431439 -2185.12437607.410299 -2185.14561

-0.215 -0.212

275.8785

-0.0

60

08

58

36

90

98

71

2

-4387.500 0.213 4387.500

-0.1

40

39

48

60

54

52

84

-2887.4177

19 20-0.150 -0.148

275.878487 -2887.41774348.981982 -2485.61324340.822871 -2467.42783338.666304 -2466.76663338.029288 -2467.07984

337.66013 -2467.40156337.40629 -2467.64764

337.221201 -2467.83106

0.5

33 337.085828

0.2

25 -2467.96597

336.988282 -0.165 -2468.06342336.91914 -2468.13261

336.870799 -2468.18105336.837357 -2468.21459336.814406 -2468.23764

336.79875 -2468.25336

24 250 0

0

2.6441068

2824.320 -2515.680

4 -2391.673 3734.450 -1620.071 5792.286 -1620.071

2.62031

616.475 -1667.6025280.282 -4874.718

9 -4527.917 6863.953 -3514.008 10755.104 -1846.406

2.5842391

1070.369 -1977.3326179.453 -5775.547

14 -5188.260 7985.287 -4178.494 151174.937 -2201.162

2.632106

968.761 -2292.1595537.829 -4992.171

19 -4770.366 7280.994 -3406.222 20351.314 -1114.063

171.704 -558.699

24 25



9 9 a 10 5 2031 -4231.250 4231.2501011 11 a 12 5 2391 -4981.250 4981.25012 12 a 13 5 2275 -4739.583 4739.58313 13 a 14 4 2031 -2708.000 2708.00014 14 a 15 5 2391 -4981.250 4981.2501516 16 a 17 5 1826 -3804.167 3804.16717 17 a 18 5 2556 -5325.000 5325.00018 18 a 19 4 2556 -3408.000 3408.00019 19 a 20 5 2106 -4387.500 4387.500

20



6 a 7 5 2031 10155.000 -3428.355 -4750.8337 a 8 5 2635 13175.000 -5440.004 -5352.4718 a 9 4 2391 9564.000 -3406.209 -3156.338

9 a 10 5 2031 10155.000 -4527.917 -3514.008

BF14

INGRESE CARGA

11 a 12 5 2391 11955.000 -4083.997 -5327.35212 a 13 5 2275 11375.000 -4947.476 -4528.84613 a 14 4 2031 8124.000 -2724.012 -2942.95414 a 15 5 2391 11955.000 -5188.260 -4178.494

16 a 17 5 1826 9130.000 -2872.970 -4406.34717 a 18 5 2556 12780.000 -5252.755 -5196.32718 a 19 4 2556 10224.000 -3592.850 -3450.291

19 a 20 5 2106 10530.000 -4770.366 -3406.222


BARRA L W P Mij Mji1 a 6 2.8 0 0 1586.212 -1611.0042 a 7 2.8 0 0 -95.121 -373.4213 a 8 2.8 0 0 -678.369 918.3394 a 9 2.8 0 0 792.286 -616.475

5 a 10 2.8 0 0 -1620.071 1667.6020

6 a 11 2.8 0 0 1817.352 -1999.2577 a 12 2.8 0 0 315.750 209.6368 a 13 2.8 0 0 -1027.923 896.7109 a 14 2.8 0 0 755.104 -1070.369

10 a 15 2.8 0 0 -1846.406 1977.3320

11 a 16 2.8 0 0 2084.741 -1990.22712 a 17 2.8 0 0 -170.240 -399.06313 a 18 2.8 0 0 -908.124 1046.22914 a 19 2.8 0 0 1174.937 -968.76115 a 20 2.8 0 0 -2201.162 2292.159

016 a 21 4 0 0 882.743 0.00017 a 22 4 0 0 447.345 0.000

18 a 23 4 0 0 -557.248 0.000

19 a 24 4 0 0 351.314 0.00020 a 25 4 0 0 -1114.063 0.000




12 -2225.000

0.000 1.189 2.377 0.000 6 0801.000 1.242 2.484 -322.488

23 -2225.000

-801.000 1.242 2.484 322.488 7 02225.000 0.535 1.070 -2080.365 1 2225.000

-4231.250 0.856 1.712 2470.975

34 -1424.000

-1258.333 1.950 3.901 322.571 8 02301.583 2.004 4.008 -574.302 2 2225.000

-1043.250 2.004 4.008 260.3174

5 -2225.0004231.250 0.856 1.712 -2470.975 9 0

-4981.250 0.856 1.712 2908.961 3 1424.000241.667 1.950 3.901 -61.951

510 0

2031.583 2.004 4.008 -506.930 4 2225.000-2273.250 2.004 4.008 567.232

61 0

4981.250 0.856 1.712 -2908.961 7 -4231.250-3804.167 0.760 1.520 2503.526 11 0-1520.833 1.722 3.444 441.614

7

2 01917.000 1.775 3.550 -539.928 8 -5489.583-979.500 1.775 3.550 275.878 12 0

4387.500 0.760 1.520 -2887.418 6 4231.250

8

3 0

9 -3188.000


7 5489.583Vij Vji

9

4 02494.095 -2845.905 10 -4231.2502725.909 -2614.091 14 02089.329 -2182.671 8 3188.0002824.320 -2515.680

105 0

15 04813.005 -5341.995 9 4231.2506605.007 -6569.993

116 0

4844.468 -4719.532 12 -4981.2505280.282 -4874.718 16 0

12

7 05728.829 -6226.171 13 -4739.5835771.226 -5603.774 17 04007.265 -4116.735 11 4981.2506179.453 -5775.547

13

8 0

14 -2708.0004258.325 -4871.675 18 06401.286 -6378.714 12 4739.5835147.640 -5076.360

14

9 0

5537.829 -4992.171 15 -4981.250

19 0


1510 0

Vij Vji 20 0-1141.863 -1141.863 14 4981.250

-99.393 -99.393

1611 0

570.253 570.253 17 -3804.167-503.129 -503.129 21 01174.169 1174.169

17

12 0

18 -5325.000-1363.074 -1363.074 22 0

-37.898 -37.898 16 3804.167687.369 687.369

18

13 0-651.955 -651.955 19 -3408.0001365.621 1365.621 23 0

17 5325.000-1455.345 -1455.345

19

14 0-81.723 -81.723 20 -4387.500697.983 697.983 24 0

-765.607 -765.607 18 3408.0001604.758 1604.758

2015 0

25 0-220.686 -220.686 19 4387.500-111.836 -111.836 21 16 0

139.312 139.312 22 17 0

-87.829 -87.829 23 18 0278.516 278.516 24 19 0

25 20 0


CORRECION

Kij mi mj mr ALFAij MOMENTO FINAL RESTO0.213 1620.060 -245.792 0 -0.199 -1586.210 0.0050.321 1620.060 1697.204 -2.433 -0.301 1586.2150.213 -245.792 -190.990 0 -0.090 -2370.616 0.0130.762 -245.792 369.183 -2.433 -0.321 -95.1130.213 -245.792 1620.060 0 -0.090 2465.7410.267 -190.990 424.352 0 -0.107 -1412.701 0.0130.762 -190.990 -505.936 -2.433 -0.307 -678.3610.213 -190.990 -245.792 0 -0.086 2091.075

0.213 424.352 -1629.973 0 -0.086 -2391.671 0.0130.762 424.352 193.615 -2.433 -0.307 792.2940.267 424.352 -190.990 0 -0.107 1599.3900.321 -1629.973 -1777.830 -2.433 -0.301 -1620.067 0.0060.213 -1629.973 424.352 0 -0.199 1620.0730.321 1697.204 1620.060 -2.433 -0.188 1611.011 0.0200.213 1697.204 369.183 0 -0.125 -3428.3510.321 1697.204 2263.140 -3.542 -0.188 1817.3590.762 369.183 -245.792 -2.433 -0.195 373.440 0.0510.213 369.183 -505.936 0 -0.055 -5439.9980.762 369.183 -320.377 -3.542 -0.195 315.770

0.213 369.183 1697.204 0 -0.055 4750.838

0.762 -505.936 -190.990 -2.433 -0.190 -918.320 0.050

0.267 -505.936 193.615 0 -0.067 -3406.202

0.762 -505.936 -333.710 -3.542 -0.190 -1027.9040.213 -505.936 369.183 0 -0.053 5352.4760.762 193.615 424.352 -2.433 -0.190 616.494 0.0510.213 193.615 -1777.830 0 -0.053 -4527.9110.762 193.615 607.410 -3.542 -0.190 755.1230.267 193.615 -505.936 0 -0.067 3156.3450.321 -1777.830 -1629.973 -2.433 -0.188 -1667.593 0.0230.321 -1777.830 -2185.146 -3.542 -0.188 -1846.3980.213 -1777.830 193.615 0 -0.125 3514.0140.321 2263.140 1697.204 -3.542 -0.188 1999.267 0.0270.213 2263.140 -320.377 0 -0.125 -4083.9910.321 2263.140 1969.091 -9.480 -0.188 2084.751

0.762 -320.377 369.183 -3.542 -0.195 -209.609 0.0690.213 -320.377 -333.710 0 -0.055 -4947.4690.762 -320.377 426.828 -9.480 -0.195 -170.2130.213 -320.377 2263.140 0 -0.055 5327.3590.762 -333.710 -505.936 -3.542 -0.190 -896.684 0.0680.267 -333.710 607.410 0 -0.067 -2724.0030.762 -333.710 -514.978 -9.480 -0.190 -908.0980.213 -333.710 -320.377 0 -0.053 4528.8530.762 607.410 193.615 -3.542 -0.190 1070.396 0.069

0.213 607.410 -2185.146 0 -0.053 -5188.2530.762 607.410 336.799 -9.480 -0.190 1174.963

0.267 607.410 -333.710 0 -0.067 2942.963

0.321 -2185.146 -1777.830 -3.542 -0.188 -1977.320 0.0310.321 -2185.146 -2468.253 -9.480 -0.188 -2201.1510.213 -2185.146 607.410 0 -0.125 4178.5020.321 1969.091 2263.140 -9.480 -0.212 1990.235 0.0200.213 1969.091 426.828 0 -0.140 -2872.9640.225 1969.091 0.000 -14.855 -0.148 882.7490.762 426.828 -320.377 -9.480 -0.221 399.086 0.0510.213 426.828 -514.978 0 -0.062 -5252.7490.533 426.828 0.000 -14.855 -0.155 447.3610.213 426.828 1969.091 0 -0.062 4406.3530.762 -514.978 -333.710 -9.480 -0.215 -1046.207 0.0510.267 -514.978 336.799 0 -0.075 -3592.8420.533 -514.978 0.000 -14.855 -0.150 -557.2330.213 -514.978 426.828 0 -0.060 5196.3330.762 336.799 607.410 -9.480 -0.215 968.783 0.0510.213 336.799 -2468.253 0 -0.060 -4770.3600.533 336.799 0.000 -14.855 -0.150 351.3300.267 336.799 -514.978 0 -0.075 3450.2980.321 -2468.253 -2185.146 -9.480 -0.212 -2292.150 0.0230.225 -2468.253 0.000 -14.855 -0.148 -1114.0560.213 -2468.253 336.799 0 -0.140 3406.2290.225 0 1969.09135 -14.8545088 0.000 439.703

0.533 0 426.828325 -14.8545088 0.000 219.719

0.533 0 -514.978421 -14.8545088 0.000 -282.5780.533 0 336.79875 -14.8545088 0.000 171.7040.225 0 -2468.25336 -14.8545088 0.000 -558.699


CORRECION


-0.002 -2391.673 0-0.008 792.286-0.003 1599.387-0.004 -1620.071 0-0.002 1620.071-0.007 1611.004 0-0.005 -3428.355-0.007 1817.352-0.020 373.421 0-0.006 -5440.004-0.020 315.750

-0.006 4750.833

-0.019 -918.339 0

-0.007 -3406.209

-0.019 -1027.923-0.005 5352.471-0.019 616.475 0-0.005 -4527.917-0.019 755.104-0.007 3156.338-0.009 -1667.602 0-0.009 -1846.406-0.006 3514.008-0.010 1999.257 0-0.007 -4083.997-0.010 2084.741

-0.027 -209.636 0-0.008 -4947.476-0.027 -170.240-0.008 5327.352-0.026 -896.710 0-0.009 -2724.012-0.026 -908.124-0.007 4528.846-0.026 1070.369 0

-0.007 -5188.260-0.026 1174.937

-0.009 2942.954

-0.012 -1977.332 0-0.012 -2201.162-0.008 4178.494-0.008 1990.227 0-0.006 -2872.970-0.006 882.743-0.023 399.063 0-0.006 -5252.755-0.016 447.345-0.006 4406.347-0.022 -1046.229 0-0.008 -3592.850-0.015 -557.248-0.006 5196.327-0.022 968.761 0-0.006 -4770.366-0.015 351.314-0.008 3450.291-0.010 -2292.159 0-0.007 -1114.063-0.006 3406.222

439.703

219.719

-282.578171.704

-558.699

DISEÑO DE VIGASDISEÑO POR FLEXION:

si definimos a: …………...indice de acero

f`c= 210 kg./cm^2 f`c=fy= 4200 kg./cm^2 fy=Pb= 0.02168 Pb=

p w Du p0.0163 0.3260 49.7632 0.01860.0162 0.3240 49.5301 0.01850.0161 0.3220 49.2962 0.01840.0160 0.3200 49.0614 0.01830.0159 0.3180 48.8257 0.01820.0158 0.3160 48.5891 0.01810.0157 0.3140 48.3516 0.01800.0156 0.3120 48.1132 0.01790.0155 0.3100 47.8739 0.01780.0154 0.3080 47.6337 0.01770.0153 0.3060 47.3926 0.01760.0152 0.3040 47.1507 0.01750.0151 0.3020 46.9078 0.01740.0150 0.3000 46.6641 0.01730.0149 0.2980 46.4195 0.01720.0148 0.2960 46.1739 0.01710.0147 0.2940 45.9275 0.01700.0146 0.2920 45.6802 0.01690.0145 0.2900 45.4320 0.01680.0144 0.2880 45.1829 0.01670.0143 0.2860 44.9329 0.01660.0142 0.2840 44.6820 0.01650.0141 0.2820 44.4303 0.01640.0140 0.2800 44.1776 0.01630.0139 0.2780 43.9241 0.01620.0138 0.2760 43.6696 0.01610.0137 0.2740 43.4143 0.01600.0136 0.2720 43.1580 0.01590.0135 0.2700 42.9009 0.01580.0134 0.2680 42.6429 0.01570.0133 0.2660 42.3840 0.01560.0132 0.2640 42.1242 0.01550.0131 0.2620 41.8635 0.01540.0130 0.2600 41.6019 0.01530.0129 0.2580 41.3394 0.01520.0128 0.2560 41.0761 0.0151

la ecuacion (1) que expresa el momento resistente en funcion del indice de acero, es la que utilizaremos para calcular la cantidad de acero requerida por la seccion . La unica incognita en la ecuacion (1) es W y para no resolver una ecuacion de segundo grado en cada diseño o para no probar con diferentes valores del bloque comprimido equivalente (a) utilizaremos la tabla Nº 1.

MU=φ. f c' .bd2ω(1−0 .59ω ) .. . . .. . . .. . .(α )

ω=pf yf c'

0.0127 0.2540 40.8118 0.01500.0126 0.2520 40.5467 0.01490.0125 0.2500 40.2806 0.01480.0124 0.2480 40.0137 0.01470.0123 0.2460 39.7459 0.01460.0122 0.2440 39.4771 0.01450.0121 0.2420 39.2075 0.01440.0120 0.2400 38.9370 0.01430.0119 0.2380 38.6656 0.01420.0118 0.2360 38.3933 0.01410.0117 0.2340 38.1202 0.01400.0116 0.2320 37.8461 0.01390.0115 0.2300 37.5711 0.01380.0114 0.2280 37.2953 0.01370.0113 0.2260 37.0185 0.01360.0112 0.2240 36.7409 0.01350.0111 0.2220 36.4623 0.01340.0110 0.2200 36.1829 0.01330.0109 0.2180 35.9026 0.01320.0108 0.2160 35.6214 0.01310.0107 0.2140 35.3393 0.01300.0106 0.2120 35.0563 0.01290.0105 0.2100 34.7724 0.01280.0104 0.2080 34.4876 0.01270.0103 0.2060 34.2020 0.01260.0102 0.2040 33.9154 0.01250.0101 0.2020 33.6279 0.01240.0100 0.2000 33.3396 0.01230.0099 0.1980 33.0504 0.01220.0098 0.1960 32.7602 0.01210.0097 0.1940 32.4692 0.01200.0096 0.1920 32.1773 0.01190.0095 0.1900 31.8845 0.01180.0094 0.1880 31.5908 0.01170.0093 0.1860 31.2962 0.01160.0092 0.1840 31.0007 0.01150.0091 0.1820 30.7043 0.01140.0090 0.1800 30.4071 0.01130.0089 0.1780 30.1089 0.01120.0088 0.1760 29.8099 0.01110.0087 0.1740 29.5099 0.01100.0086 0.1720 29.2091 0.01090.0085 0.1700 28.9074 0.01080.0084 0.1680 28.6047 0.01070.0083 0.1660 28.3012 0.01060.0082 0.1640 27.9968 0.01050.0081 0.1620 27.6915 0.01040.0080 0.1600 27.3853 0.01030.0079 0.1580 27.0783 0.01020.0078 0.1560 26.7703 0.01010.0077 0.1540 26.4614 0.01000.0076 0.1520 26.1517 0.00990.0075 0.1500 25.8410 0.00980.0074 0.1480 25.5295 0.0097

0.0073 0.1460 25.2171 0.00960.0072 0.1440 24.9037 0.00950.0071 0.1420 24.5895 0.00940.0070 0.1400 24.2744 0.00930.0069 0.1380 23.9584 0.00920.0068 0.1360 23.6415 0.00910.0067 0.1340 23.3237 0.00900.0066 0.1320 23.0050 0.00890.0065 0.1300 22.6855 0.00880.0064 0.1280 22.3650 0.00870.0063 0.1260 22.0437 0.00860.0062 0.1240 21.7214 0.00850.0061 0.1220 21.3983 0.00840.0060 0.1200 21.0743 0.00830.0059 0.1180 20.7493 0.00820.0058 0.1160 20.4235 0.00810.0057 0.1140 20.0968 0.00800.0056 0.1120 19.7692 0.00790.0055 0.1100 19.4407 0.00780.0054 0.1080 19.1113 0.00770.0053 0.1060 18.7811 0.00760.0052 0.1040 18.4499 0.00750.0051 0.1020 18.1178 0.00740.0050 0.1000 17.7849 0.00730.0049 0.0980 17.4511 0.00720.0048 0.0960 17.1163 0.00710.0047 0.0940 16.7807 0.00700.0046 0.0920 16.4442 0.00690.0045 0.0900 16.1068 0.00680.0044 0.0880 15.7685 0.00670.0043 0.0860 15.4293 0.00660.0042 0.0840 15.0892 0.00650.0041 0.0820 14.7482 0.00640.0040 0.0800 14.4063 0.00630.0039 0.0780 14.0636 0.00620.0038 0.0760 13.7199 0.00610.0037 0.0740 13.3754 0.00600.0036 0.0720 13.0299 0.00590.0035 0.0700 12.6836 0.00580.0034 0.0680 12.3364 0.00570.0033 0.0660 11.9883 0.00560.0032 0.0640 11.6393 0.00550.0031 0.0620 11.2894 0.00540.0030 0.0600 10.9386 0.00530.0029 0.0580 10.5869 0.00520.0028 0.0560 10.2343 0.00510.0027 0.0540 9.8808 0.00500.0026 0.0520 9.5265 0.00490.0025 0.0500 9.1712 0.00480.0024 0.0480 8.8151 0.00470.0023 0.0460 8.4580 0.00460.0022 0.0440 8.1001 0.00450.0021 0.0420 7.7413 0.00440.0020 0.0400 7.3816 0.0043

0.0019 0.0380 7.0210 0.00420.0018 0.0360 6.6595 0.00410.0017 0.0340 6.2971 0.00400.0016 0.0320 5.9338 0.00390.0015 0.0300 5.5696 0.00380.0014 0.0280 5.2046 0.00370.0013 0.0260 4.8386 0.00360.0012 0.0240 4.4718 0.00350.0011 0.0220 4.1040 0.00340.0010 0.0200 3.7354 0.00330.0009 0.0180 3.3659 0.00320.0008 0.0160 2.9955 0.00310.0007 0.0140 2.6241 0.00300.0006 0.0120 2.2519 0.00290.0005 0.0100 1.8788 0.00280.0004 0.0080 1.5049 0.00270.0003 0.0060 1.1300 0.00260.0002 0.0040 0.7542 0.00250.0001 0.0020 0.3776 0.0024

0.00230.00220.00210.00200.00190.00180.00170.00160.00150.00140.00130.00120.00110.00100.00090.00080.00070.00060.00050.00040.00030.00020.0001

240 kg./cm^24200 kg./cm^2

0.02477

w Du0.3255 56.80570.3238 56.57250.3220 56.33850.3203 56.10370.3185 55.86820.3168 55.63190.3150 55.39480.3133 55.15690.3115 54.91820.3098 54.67880.3080 54.43850.3063 54.19750.3045 53.95570.3028 53.71320.3010 53.46980.2993 53.22570.2975 52.98080.2958 52.73510.2940 52.48860.2923 52.24130.2905 51.99330.2888 51.74450.2870 51.49490.2853 51.24450.2835 50.99340.2818 50.74140.2800 50.48870.2783 50.23520.2765 49.98090.2748 49.72590.2730 49.47000.2713 49.21340.2695 48.95600.2678 48.69780.2660 48.43890.2643 48.1791

la ecuacion (1) que expresa el momento resistente en funcion del indice de acero, es la que utilizaremos para calcular la cantidad de acero requerida por la seccion . La

y para no resolver una ecuacion de segundo grado en cada diseño o para no probar con diferentes valores del bloque comprimido equivalente (a) utilizaremos la tabla Nº 1.

0.2625 47.91860.2608 47.65730.2590 47.39520.2573 47.13230.2555 46.86870.2538 46.60430.2520 46.33910.2503 46.07310.2485 45.80630.2468 45.53870.2450 45.27040.2433 45.00130.2415 44.73140.2398 44.46070.2380 44.18930.2363 43.91710.2345 43.64400.2328 43.37020.2310 43.09570.2293 42.82030.2275 42.54420.2258 42.26730.2240 41.98960.2223 41.71110.2205 41.43180.2188 41.15180.2170 40.87100.2153 40.58940.2135 40.30700.2118 40.02380.2100 39.73990.2083 39.45520.2065 39.16970.2048 38.88340.2030 38.59630.2013 38.30850.1995 38.01990.1978 37.73050.1960 37.44030.1943 37.14930.1925 36.85760.1908 36.56500.1890 36.27170.1873 35.97760.1855 35.68280.1838 35.38710.1820 35.09070.1803 34.79350.1785 34.49550.1768 34.19670.1750 33.89720.1733 33.59680.1715 33.29570.1698 32.9938

0.1680 32.69110.1663 32.38770.1645 32.08340.1628 31.77840.1610 31.47260.1593 31.16600.1575 30.85870.1558 30.55060.1540 30.24160.1523 29.93190.1505 29.62150.1488 29.31020.1470 28.99810.1453 28.68530.1435 28.37170.1418 28.05730.1400 27.74220.1383 27.42620.1365 27.10950.1348 26.79200.1330 26.47370.1313 26.15460.1295 25.83480.1278 25.51420.1260 25.19280.1243 24.87060.1225 24.54760.1208 24.22390.1190 23.89930.1173 23.57400.1155 23.24790.1138 22.92100.1120 22.59340.1103 22.26500.1085 21.93570.1068 21.60570.1050 21.27500.1033 20.94340.1015 20.61110.0998 20.27800.0980 19.94410.0963 19.60940.0945 19.27390.0928 18.93770.0910 18.60070.0893 18.26290.0875 17.92430.0858 17.58490.0840 17.24480.0823 16.90390.0805 16.56220.0788 16.21970.0770 15.87640.0753 15.5324

0.0735 15.18750.0718 14.84190.0700 14.49550.0683 14.14840.0665 13.80040.0648 13.45170.0630 13.10220.0613 12.75190.0595 12.40080.0578 12.04900.0560 11.69630.0543 11.34290.0525 10.98870.0508 10.63380.0490 10.27800.0473 9.92150.0455 9.56420.0438 9.20610.0420 8.84720.0403 8.48750.0385 8.12710.0368 7.76590.0350 7.40390.0333 7.04110.0315 6.67750.0298 6.31320.0280 5.94810.0263 5.58220.0245 5.21550.0228 4.84800.0210 4.47980.0193 4.11080.0175 3.74100.0158 3.37040.0140 2.99900.0123 2.62690.0105 2.25390.0088 1.88020.0070 1.50580.0053 1.13050.0035 0.75440.0018 0.3776

DISEÑO POR FLEXION

CONSIDERACIONES DE DISEÑO:0.9

f`c (Kg/cm^2) 210 240fy(Kg/cm^2) 4200

Chequeo de acero minimo

Para las vigas del nivel de la azotea:

Finalmente: 2 1/2"

Para las vigas del nivel 4°, 3° y 2°:

Finalmente: 2 1/2"+1 3/8"

NIVEL b (cm) d (cm) b*d^2

AZOTEA

1 - 2 2944.93298066 20 34 231202 - 3 3478.73605615 20 34 231203 - 4 2121.51605786 20 34 231204 - 5 3749.17838386 20 34 23120

4°

6 - 7 6797.6875959 20 34 231207 - 8 8430.93987313 20 34 231208 - 9 4907.75108485 20 34 23120

9 - 10 8110.47621143 20 34 23120

3°

11 - 12 6868.58982267 20 34 2312012 - 13 8428.98693013 20 34 2312013 - 14 4935.5560441 20 34 2312014 - 15 8042.59165209 20 34 23120

2°

16 - 17 6333.7088109 20 34 2312017 - 18 8209.01267082 20 34 2312018 - 19 5183.52799631 20 34 2312019 - 20 8841.46832333 20 34 23120

VIGA (i - j)

M. MAX. (+) (Kg-m)

φ

Asmin=0 .8√ f c'f y

×b×d Asmin=0 .8√2104200

×20×34 Asmin=2.35cm2

Asmin=0 .8√ f c'f y

×b×d Asmin=0 .8√2404200

×20×34 Asmin=3.01cm2

φ

φ φ

C6

para la viga del nivel de la azotea

D6

para las vigas de los niveles 4º, 3º y 2º

NIVEL APOYO b (cm) d (cm)

AZOTEA

1 -1657.2028 1657.2028 20 342 -2508.3653 2508.3653 20 343 -2134.2997 2134.2997 20 344 -2417.8313 2417.8313 20 345 -1691.3100 1691.3100 20 34

4°

6 -4005.2914 4005.2914 20 347 -5608.0871 5608.0871 20 348 -5352.4710 5352.4710 20 349 -5295.8241 5295.8241 20 34

10 -4073.8184 4073.8184 20 34

3°

11 -4086.8748 4086.8748 20 3412 -5613.8614 5613.8614 20 3413 -5382.1979 5382.1979 20 3414 -5270.7321 5270.7321 20 3415 -4183.3107 4183.3107 20 34

2°

16 -3595.5971 3595.5971 20 3417 -5464.7172 5464.7172 20 3418 -5196.3265 5196.3265 20 3419 -5731.3030 5731.3030 20 3420 -4105.1932 4105.1932 20 34

M. MAX. (-) (Kg-m)

M.MAX.(-)*(-1) (Kg-m)

2.54 cm¨2

3.25 cm2

Du (+)As(+) - 5% As(+)+10%

12.7376 0.0035 2.38 2.261 2.618

1.70

2.5415.0464 0.0042 2.86 2.7132 3.1416 2.549.1761 0.0025 1.70 1.615 1.87 2.54

16.2162 0.0043 2.92 2.7778 3.2164 2.54

29.4018 0.0089 6.05 5.7494 6.6572

4.08

3.9636.4660 0.0108 7.34 6.9768 8.0784 3.9621.2273 0.0060 4.08 3.876 4.488 3.9635.0799 0.0100 6.80 6.46 7.48 3.96

29.7084 0.0090 6.12 5.814 6.732

4.08

3.9636.4576 0.0109 7.41 7.0414 8.1532 3.9621.3476 0.0060 4.08 3.876 4.488 3.9634.7863 0.0099 6.73 6.3954 7.4052 3.96

27.3949 0.0083 5.64 5.3618 6.2084

4.35

3.9635.5061 0.0105 7.14 6.783 7.854 3.9622.4201 0.0064 4.35 4.1344 4.7872 3.9638.2416 0.0109 7.41 7.0414 8.1532 3.96

P (cuantia)(+)

As (acero positivo)

valores dentro de los cuales se diseñara Area de

Acero minimo

Area de acero de la

canastilla

Asmin=2.35cm2

⇒

Asmin=3.01cm2

⇒

H33

Valores de la tabla 1 y 2

b*d^2 Du (+)valores dentro de los cuales se diseñara

As minAs(+) - 5% As(+)+10%

23120 7.1678 0.0019 1.29 1.2274 1.4212 2.5423120 10.8493 0.0030 2.04 1.938 2.244 2.5423120 9.2314 0.0025 1.7 1.615 1.87 2.5423120 10.4577 0.0029 1.972 1.8734 2.1692 2.5423120 7.3154 0.0020 1.36 1.292 1.496 2.5423120 17.3239 0.0048 3.264 3.1008 3.5904 3.2523120 24.2564 0.0069 4.692 4.4574 5.1612 3.2523120 23.1508 0.0066 4.488 4.2636 4.9368 3.2523120 22.9058 0.0065 4.42 4.199 4.862 3.2523120 17.6203 0.0049 3.332 3.1654 3.6652 3.2523120 17.6768 0.0049 3.332 3.1654 3.6652 3.2523120 24.2814 0.0069 4.692 4.4574 5.1612 3.2523120 23.2794 0.0066 4.488 4.2636 4.9368 3.2523120 22.7973 0.0065 4.42 4.199 4.862 3.2523120 18.0939 0.0050 3.4 3.23 3.74 3.2523120 15.5519 0.0043 2.924 2.7778 3.2164 3.2523120 23.6363 0.0067 4.556 4.3282 5.0116 3.2523120 22.4755 0.0064 4.352 4.1344 4.7872 3.2523120 24.7894 0.0071 4.828 4.5866 5.3108 3.2523120 17.7560 0.0050 3.4 3.23 3.74 3.25

P (cuantia)(-)

A`s (acero negativo)

I55

VALORES OBTENIDOS DE LA TABLA 1 Y 2

Usar Usar Usar

As (+) refuerzoFinalmente

As (+) 2 1/2" -0.16 - 2 1/2"2 1/2" 0.32 - 2 1/2"2 1/2" -0.84 - 2 1/2"2 1/2" 0.38 1 1/4" 2 1/2"+1 1/4"

2 5/8" 2.09 2 1/2" 2 5/8"+2 1/2"2 5/8" 3.38 2 5/8" 2 5/8"+2 5/8"2 5/8" 0.12 - 2 5/8"2 5/8" 2.84 2 1/2" 2 5/8"+2 1/2"

2 5/8" 2.16 2 1/2" 2 5/8"+2 1/2"2 5/8" 3.45 2 5/8" 2 5/8"+2 5/8"2 5/8" 0.12 - 2 5/8"2 5/8" 2.77 2 1/2" 2 5/8"+2 1/2"

2 5/8" 1.68 2 5/8" 2 5/8"+1 5/8"2 5/8" 3.18 2 5/8" 2 5/8"+2 5/8"2 5/8" 0.39 1 1/4" 2 5/8"+1 1/4"2 5/8" 3.45 2 5/8" 2 5/8"+2 5/8"

As (+) de canastilla

area de acero de refuerzo

φ

φ

φφ φ

φ φ

φ

φ

φφ

φ φ

φ

φφ φ

φ φ

φ

φφ φ

φ φ

φ

φφφφ

φφφφ

φφφφ

φφφφ

φ

φφ

φ

φφ

φ

φφφφ

N33

acero que sera continuo en toda la viga y servira como canastilla para los refuerzos transversales (estribos)

P33

acero que es necesario reforzar al acero continuo (canastilla) para cubrir el momento maximo (+) de la viga

Usar A's (necesario) Usar FinalmenteAs min A´s(necesario) A's(-)2 1/2" -1.25 - 2 1/2"2 1/2" -0.50 - 2 1/2"2 1/2" -0.84 - 2 1/2"2 1/2" -0.57 - 2 1/2"2 1/2" -1.18 - 2 1/2"

2 1/2"+1 3/8" - 2 1/2"+1 3/8"2 1/2"+1 3/8" 1.44 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.24 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.17 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 0.08 - 2 1/2"+1 3/8"2 1/2"+1 3/8" 0.08 - 2 1/2"+1 3/8"2 1/2"+1 3/8" 1.44 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.24 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.17 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 0.15 - 2 1/2"+1 3/8"2 1/2"+1 3/8" -0.33 - 2 1/2"+1 3/8"2 1/2"+1 3/8" 1.31 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.10 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 1.58 1 1/2" 3 1/2"+1 3/8"2 1/2"+1 3/8" 0.15 - 2 1/2"+1 3/8"

PROPIEDADES DE LAS BARRAS

Nº

2 1/4 0.323 3/8 0.714 1/2 1.275 5/8 1.986 3/4 2.858 1 5.07

10 1 1/4 7.9211 1 3/8 9.5812 1 1/2 11.40

Diametro (pulg)

Area (cm^2)

φ

φφφ

φφ

φφ

φ

φ

φφφφφφφφφφ

φφφφ

φφφ

φφ

φφφφφφ

φφφφφφφφ

φφφφφφφφφ

φ φφ φφ

φ

φφ

φφφφ

φφφφφφφφφφφφφφφφφφφφφφφφφφφφ

φ

N56

acero que sera continuo en todas las vigas del nivel (acero de canastilla)

P56

acero que es necesario reforzar al acero minimo para cubrir el momento maximo negativo del apoyo de la viga

2*A 3*A 4*A

0.64 0.96 1.281.42 2.13 2.842.54 3.81 5.083.96 5.94 7.92

5.7 8.55 11.410.14 15.21 20.2815.84 23.76 31.6819.16 28.74 38.32

22.8 34.2 45.6

Diseño de Vigas Secundarias

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Transcript of Diseño de Vigas Secundarias