Metodo de Cross - Concreto I

162

Transcript of Metodo de Cross - Concreto I

Page 1: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de InerciaSISMO

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Viga principal h = 0.60 bh^3/12 139.10341192b = 0.30 0.0054 31.66673079

Viga secundaria h = 0.40 0.0013 29.21134918b = 0.25 25.626745051

Columnas Exterior 0.30 0.30 0.0088 20.913308069Interior 0.30 0.30 0.0007 15.360559155

CARGAS ; Kg/ml Tn/ml 8.1000654315 AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -1

momento en volado: M = wxl^2/2 5 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

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23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

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10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

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1.3500 -1 3.1050

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25,21 25,26 26,25 26,2221,25 21,17 21,22 22,21 22,18 22,2617,13 17,21 17,18 18,17 18,14 18,2213,9 13,17 13,14 14,13 14,10 14,189,5 9,13 9,10 10,9 10,6 10,145,1 5,9 5,6 6,5 6,2 6,101,A 1,5 1,2 2,1 2,6 2,B

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CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

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25,26 3.63 0 6 10.89 026,27 3.63 0 5 7.56 0.0027,28 3.63 0 6 10.88 0.00

P.TIPICO AB 4.46 0 6 13.38 0.00BC 4.46 0 5 9.29 0.00CD 4.46 0 6 13.38 0.00

F 139.103 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 10.89 10.89WL 0.00 0 0M 0.00 10.89 -10.89

0 m1 -2.178 -8.712 1.35816327-3 0 0.67908163 -4.356-6 h = 3 15.1199361-9 m2 -3.15980354 -12.6392142 -4.06233126

-12 3.77998402 -2.03116563 -6.31960708-15 -0.85815018-18 m3 -0.17813364 -0.71253457 2.96277248

0.00 12.53 -12.53 -21.310.00 0

31.67 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 13.38 13.38 0WL 0.00 0 0.00 0 0M 0.00 13.38 -13.38 0.18927469m1 -2.23 -2.23 -8.92 1.51419753 0.37854938

0 -4.46 0.75709877 -4.46 0.18927469h = 3 0 18.925559 18.925559

0m2 -2.53710963 -2.53710963 -10.1484385 -5.09122784 -1.27280696

7.55996804 -13.0632588 -2.54561392 -5.07421925 -1.80637543.77998402 2.91517904 2.91517904

m3 0.22562361 0.22562361 0.90249442 -0.74737541 -0.186843850 6.79846604 -0.2240068 -6.57 -27.238625 19.3318106

029.21 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 13.38 13.38WL 0.00 0.00 0M 0.00 13.38 -13.38m1 -2.23 -8.92 -2.23 1.51419753 0.37854938

-1.115 -1.115 0.75709877 -1.115 0.18927469h = 3 21.7371187 18.925559 18.925559

m2 -6.53162941 -26.1265176 -6.53162941 -14.4510032 -3.61275079

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-3.76253657 -1.26855481 -7.22550158 -3.2658147 -0.636403482.29340765 2.91517904 2.91517904

m3 1.17466771 4.69867085 1.17466771 4.04481337 1.011203340 11.5660281 -10.8906636 -0.67536451 -26.652807 19.1706112

8.88178E-1625.63 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 13.38 13.38WL 0 0.00 0M 0 13.38 -13.38m1 -2.23 -8.92 -2.23 1.51419753 0.37854938

-1.115 -1.115 0.75709877 -1.115 0.18927469h = 3 21.7371187 24.8862214 24.8862214

m2 -7.52507314 -30.1002926 -7.52507314 -16.6586559 -4.16466398-3.2658147 -4.00131953 -8.32932795 -3.76253657 -2.15460612.29340765 3.93823804 3.93823804

m3 1.56080275 6.243211 1.56080275 4.80055432 1.200138580 11.4554412 -9.06894165 -2.38649958 -28.6014406 24.273152

020.91 9,5 9,13 9,10 10,9 10,6

ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 13.38 -13.38m1 -2.23 -2.23 -8.920 1.51419753 0.37854938

0.03623188 -4.46 0.757 -4.46 0.18927469h = 3 26.7962822 24.8862214 24.8862214

m2 -8.00263905 -8.00263905 -32.011 -17.2368488 -4.3092122-15.0501463 -8.618 -16.0052781 -2.08233199

1.97426093 3.93823804 3.93823804m3 2.95934528 2.95934528 11.837 9.92346943 2.48086736

0.00 21.53 2.04 -23.57 -39.6444599 25.48160670E+00

15.3605592 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 13.38 -13.38m1 -2.23 -2.23 -8.920 1.51419753 0.37854938

-0.16666667 -1.115 0.757 -4.46 0.18927469h = 3 26.7962822 28.4467431 28.4467431

m2 -9.1197429 -9.1197429 -36.479 -18.4804129 -4.62010322-4.00131953 -9.240 -18.2394858 -2.15460612.60553182 2.60553182

m3 1.77266569 1.77266569 7.091 11.5476644 2.88691611

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0.00 17.05 16.36 -33.41 -41.4980367 27.73230570E+00

8.10006543 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 40.14 -40.14m1 -6.69 -6.69 -26.760 2.75021862 0.68755466

4.795199 -1.115 1.375 -13.38 0.18927469h = 3 28.4467431 28.4467431

m2 -5.58367523 -5.58367523 -22.335 -6.24165721 -1.56041430.87230662 -4.55987145 -3.121 -11.1673505 -2.31005161

2.60553182 2.60553182m3 0.70047694 0.70047694 2.802 7.85216063 1.96304016

0.00 -5.91 13.80 -7.90 -60.3266284 30.02167858E-15

A,1-3.345

h = 3 4.795199-2.79183762-2.791837620.872306620.35023847

-2.91093114

25,21 25,26 26,250.000 12.526 0.000 -12.526 -21.307 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 6.798 -0.224 -6.574 -27.239 19.332

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 11.566 -10.891 -0.675 -26.653 19.171

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

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H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 11.455 -9.069 -2.386 -28.601 24.273

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 21.533 2.041 -23.575 -39.644 25.482

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 17.053 16.359 -33.411 -41.498 27.732

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 -5.906 13.804 -7.899 -60.327 30.022

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,1-2.911

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

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H-5 0.003SISMO 27.775

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26,27 27,26 27,23 27,28 28,27 28,2422,23 23,22 23,19 23,27 23,24 24,23 24,20 24,2818,19 19,18 19,15 19,23 19,20 20,19 20,16 20,2414,15 15,14 15,11 15,19 15,16 16,15 16,12 16,2010,11 11,10 11,7 11,15 11,12 12,11 12,8 12,166,7 7,6 7,3 7,11 7,8 8,7 8,4 8,122,3 3,2 3,7 3,C 3,4 4,3 4,8 4,D

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AZOTEA

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3ºtramo 1º tramo 2º tramo voladisoCM 10.88 10.89 7.5625 0CV 0 0 0 0

PISO TIPICO PISO TIPICOCM 13.38 13.38 9.29 0CV 0 0 0 0

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.147.56 7.5625 10.88 10.8750.00 0 0 0

7.563 -7.563 10.875 -10.8750.33954082 1.62979592 -1.62244898 -0.3380102 -1.35204082 8.7

0 -0.81122449 0.81489796 0 -0.1690051 -0.6760204115.1199361 15.1199361

-1.01558282 -4.87479751 -7.72203866 -1.60875805 -6.43503222 -11.55513253.77998402 -3.86101933 -2.43739876 3.77998402 -0.80437903 -3.21751611

-0.85815018 -0.858150180.74069312 3.55532697 0.15670724 0.03264734 0.13058936 0.23654581

18.11 3.20 -18.37 16.13 2.25 -17.390 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 9.29 9.29 0 0 13.38 13.38 00 0.00 0.00 0 0 0.00 0.00 0

9.29 -9.29 13.38 -13.380.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.23

0 -0.90851852 0.90851852 -0.18927469 0 4.46 -0.75709877 1.1150 18.925559 0 18.9255590 0

-1.27280696 -6.10947341 -10.7132457 -2.23192619 -2.23192619 -8.92770475 -12.8556402 -3.213910047.55996804 -5.35662285 -3.0547367 -2.11354846 7.55996804 -6.42782008 -4.46385237 -1.699871693.77998402 2.91517904 3.77998402 2.91517904

-0.18684385 -0.89685049 -1.18178927 -0.2462061 -0.2462061 -0.98482439 -5.39427136 -1.3485678410.2588506 -2.16276156 -25.1499569 16.6812332 8.48327039 -0.01454674 -27.9308626 18.9233885

0.18927469 -1.7764E-1518,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29 13.38 13.380.00 0 0.00 09.29 -9.29 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.18927469 -0.90851852 0.90851852 -0.18927469 -0.18927469 4.46 -0.75709877 1.11521.7371187 18.925559 21.7371187 0

-3.61275079 -17.3412038 -20.2900652 -4.22709693 -4.22709693 -16.9083877 -13.5989735 -3.39974337

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-2.08233199 -10.1450326 -8.6706019 -1.11596309 -2.42768423 -6.79948674 -8.45419385 -1.606955022.29340765 2.91517904 2.29340765 2.915179041.01120334 4.85377605 6.1356219 1.27825456 1.27825456 5.11301825 6.13669032 1.53417258

19.914471 -12.4322752 -33.0252304 17.2081085 18.0861757 -2.26905373 -21.1335758 2.787653230 0

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.149.29 9.29 13.38 13.380.00 0 0.00 09.29 -9.29 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.18927469 -0.90851852 0.90851852 -0.18927469 -0.18927469 4.46 -0.75709877 1.11521.7371187 24.8862214 21.7371187 24.8862214

-4.16466398 -19.9903871 -22.9392485 -4.77901011 -4.77901011 -19.1160405 -30.1897878 -7.54744694-1.8063754 -11.4696243 -9.99519355 -2.42768423 -2.11354846 -15.0948939 -9.55802023 -4.35247332.29340765 3.93823804 2.29340765 3.938238041.20013858 -19.9903871 10.3998553 2.16663652 2.16663652 -19.1160405 6.25247969 1.5631199219.8274496 -41.2502133 -32.734772 23.2165775 18.7367802 -37.00 -38.7124271 21.8326591

-25.7510523 -27.782586510,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29166667 13.38 13.380.00 0 0.00 09.29 -9.29166667 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.03623188 -0.90851852 0.90851852 -0.18927469 0.03623188 4.46 -0.75709877 1.11526.7962822 24.8862214 26.7962822 24.8862214-4.3092122 -20.6842185 -25.2879908 -4.85536846 -4.85536846 -21.0733257 -34.8197864 -8.7049466

0 -12.6439954 -10.3421093 -2.38950506 0 -17.4098932 -10.5366628 -3.773723473.93823804 3.93823804

2.48086736 11.9081633 11.6458975 2.42622866 2.42622866 9.70491462 6.91476552 1.7286913825.3827187 -11.2198654 -34.1843877 23.4379905 24.0248249 -12.4525018 -43.6587825 21.4194808

0 0.825925936,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29166667 13.38 13.380.00 0 0.00 09.29 -9.29166667 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.23-0.16666667 -0.90851852 0.90851852 -0.18927469 -0.16666667 4.46 -0.75709877 1.11526.7962822 28.4467431 26.7962822 28.4467431

-4.62010322 -22.1764955 -26.7802678 -5.57922245 -5.57922245 -22.3168898 -37.1934675 -9.298366870 -13.3901339 -11.0882477 -2.42768423 0 -18.5967337 -11.1584449 -4.3524733

2.60553182 2.605531822.88691611 13.8571973 13.1142817 2.73214203 2.73214203 10.9285681 8.60359092 2.15089773

Page 17: Metodo de Cross - Concreto I

25.2749778 -11.5092469 -34.954419 25.2096862 23.4039858 -13.659253 -44.9654202 22.89733240 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.149.29 9.29166667 13.38 13.380.00 0 0.00 0

32.7144097 -32.7144097 47.10875 -47.108750.68755466 3.30026235 -6.39748457 -1.33280928 -1.33280928 -5.33123714 31.4058333 7.85145833

4.795199 -3.19874228 1.65013117 -0.18927469 4.795199 15.7029167 -2.66561857 1.11528.4467431 26.7962822

-1.5604143 -7.48998866 -22.4025401 -4.66719585 -4.66719585 -18.6687834 -16.9566256 -4.239156390.87230662 -11.20127 -3.74499433 -2.78961123 0.87230662 -8.47831279 -9.33439171 -4.64918344

2.60553182 2.605531821.96304016 9.42259275 5.12670218 1.06806295 1.06806295 4.27225182 7.00382447 1.750956126.75768613 23.5472638 -58.4825954 23.1414468 0.73556343 34.6055851 -37.655728 31.2308887

0 0B,2 C,30.34377733 -0.66640464

4.795199 4.795199-0.78020715 -2.33359793-0.78020715 -2.333597930.87230662 0.872306620.98152008 0.534031485.43238872 0.8679366

26,22 26,27 27,26 27,23 27,28 28,2718.106 3.201 -18.373 0.000 16.128 2.245 -17.387 0.000-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,2010.259 -2.163 -25.150 16.681 8.483 -0.015 -27.931 18.923-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,1619.914 -12.432 -33.025 17.208 18.086 -2.269 -21.134 2.788-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 18: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,1219.827 -41.250 -32.735 23.217 18.737 -37.001 -38.712 21.833

0.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,825.383 -11.220 -34.184 23.438 24.025 -12.453 -43.659 21.419-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,425.275 -11.509 -34.954 25.210 23.404 -13.659 -44.965 22.897-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,86.758 23.547 -58.483 23.141 0.736 34.606 -37.656 31.231

-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

5.432 0.868-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 19: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 20: Metodo de Cross - Concreto I

28,24-0.20

2.1750

15.1199361-2.854982113.77998402

-0.858150180.05913645

17.420.03

24,28-0.17

00

2.23000

-3.213910047.559968043.77998402

-1.348567849.00747418

020,24

-0.17

2.231.115

18.925559-3.39974337

Page 21: Metodo de Cross - Concreto I

-4.35247332.293407651.5341725818.3459225

016,20

-0.17

2.231.115

18.925559-7.54744694-1.699871692.293407651.5631199216.8797679

012,16

-0.17

2.230.1892746926.7962822-8.7049466

0

1.7286913822.2393017

08,12

-0.17

2.230.1892746926.7962822

-9.298366870

2.15089773

Page 22: Metodo de Cross - Concreto I

22.06808780

4,D-0.17

7.851458330.18927469

-4.239156390.87230662

1.750956126.42483937-8.8818E-15

D,43.925729170.18927469-2.1195782-2.11957820.872306620.875478061.62363214

28,2417.421

24,289.007

20,2418.346

Page 23: Metodo de Cross - Concreto I

16,2016.880

12,1622.239

5.870.000

CM -5.339H-1 -2.125

8,12 H-2 022.068 H-3 0

H-4 0H-5 -1.013SISMO 0

4,D6.425

D41.6240.5090.159-0.03-0.030.179

Page 24: Metodo de Cross - Concreto I

-0.01627.897

Page 25: Metodo de Cross - Concreto I

13,9 13,17 13,14 14,13 14,10 14,18 14,15 15,1417.053 16.359 -33.411 -41.498 27.732 25.275 -11.509 -34.954

0.646 -5.709 10.403 -6.817 -4.062 0.028 11.422 -9.5570.334 -1.602 3.393 -2.079 -1.395 0.005 3.653 -2.9640.905 -1.093 0.188 -0.852 0.386 -1.973 2.136 -2.8040.874 -1.073 0.199 -0.883 0.324 -1.852 2.136 -2.7830.654 -1.411 0.757 0.643 -0.839 0.265 0.067 -0.6260.083 0.004 0.925 -1.361 -0.886 -0.897 3.166 -2.5542.084 9.449 -11.532 -10.48 14.714 5.477 -10.676 -10.577

Page 26: Metodo de Cross - Concreto I

15,11 15,19 15,16 16,15 16,12 16,2025.210 23.404

9.541 0.0162.941 0.0231.344 1.461.391 1.392

1.86 -1.2341.291 1.2638.519 2.058

Page 27: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 28: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 29: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 30: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 31: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 32: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 33: Metodo de Cross - Concreto I

25,26 3.63 0 6 10.89 026,27 3.63 0 5 7.56 0.0027,28 3.63 0 6 10.88 0.00

P.TIPICO AB 4.46 0 6 13.38 0.00BC 4.46 0 5 9.29 0.00CD 4.46 0 6 13.38 0.00

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 10.89 10.89WL 0.00 0 0

continuacion M 0.00 10.89 -10.890 m1 -2.178 -8.712 1.35816327-3 0 0.67908163 -4.356-6 h = 3 0.00057977-9 m2 -0.13593228 -0.54372912 2.10883458

-12 0.00014494 1.05441729 -0.27186456-15 -0.03133213-18 m3 -0.20464602 -0.81858408 0.18831493

0.00 -2.55 2.55 -11.860.00 0

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 13.38 13.38 0WL 0.00 0 0.00 0 0M 0.00 13.38 -13.38 0.18927469m1 -2.23 -2.23 -8.92 1.51419753 0.37854938

0 -4.46 0.75709877 -4.46 0.18927469h = 3 0 0.36358696 0.36358696

0m2 0.55655238 0.55655238 2.22620952 1.78357662 0.44589415

0.00028988 0.36977143 0.89178831 1.11310476 0.059323250.00014494 -0.04208815 -0.04208815

m3 -0.20331774 -0.20331774 -0.81327094 0.03739462 0.009348660 -1.87633053 -5.64549512 7.52 -13.3917265 1.59316363

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 13.38 13.38WL 0.00 0.00 0M 0.00 13.38 -13.38m1 -2.23 -8.92 -2.23 1.51419753 0.37854938

-1.115 -1.115 0.75709877 -1.115 0.18927469h = 3 -4.0225E-17 0.36358696 0.36358696

m2 0.18488571 0.73954285 0.18488571 0.47458599 0.1186465

Page 34: Metodo de Cross - Concreto I

0.09244286 0.27827619 0.237293 0.09244286 0.222947080.01852464 -0.04208815 -0.04208815

m3 -0.09740809 -0.38963235 -0.09740809 0.31056647 0.077641620 -3.14655488 -9.0853145 12.2318694 -12.1032072 1.30855807

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 13.38 13.38WL 0 0.00 0M 0 13.38 -13.38m1 -2.23 -8.92 -2.23 1.51419753 0.37854938

-1.115 -1.115 0.75709877 -1.115 0.18927469h = 3 -4.0225E-17 0.36358696 0.36358696

m2 0.18488571 0.73954285 0.18488571 0.47458599 0.11864650.09244286 0.27521835 0.237293 0.09244286 0.221248280.01852464 -0.04314191 -0.04314191

m3 -0.09672282 -0.38689129 -0.09672282 0.31158593 0.077896480 -3.14586962 -9.08668503 12.2325547 -12.1021877 1.30606039

00.00 9,5 9,13 9,10 10,9 10,6

ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 13.38 -13.38m1 -2.23 -2.23 -8.920 1.51419753 0.37854938

0.03623188 -4.46 0.757 -4.46 0.18927469h = 3 0.00046214 0.36358696 0.36358696

m2 0.55043671 0.55043671 2.202 1.76998624 0.442496560.36977143 0.885 1.10087342 0.05932325

-0.02804193 -0.04314191 -0.04314191m3 -0.19726345 -0.19726345 -0.789 0.05588206 0.01397052

0.00 -1.87 -5.65 7.51 -13.3990607 1.404059450E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 13.38 -13.38m1 -2.23 -2.23 -8.920 1.51419753 0.37854938

-0.16666667 -1.115 0.757 -4.46 0.18927469h = 3 0.00046214 -0.01870303 -0.01870303

m2 0.09046813 0.09046813 0.362 1.98672274 0.496680680.27521835 0.993 0.18093627 0.22124828

-0.01999101 -0.01999101m3 -0.20809812 -0.20809812 -0.832 0.26950332 0.06737583

Page 35: Metodo de Cross - Concreto I

0.00 -2.51 -3.23 5.74 -13.8886401 1.314434830E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 13.38 13.38WL 0.00 0.00 0M 0 40.14 -40.14m1 -6.69 -6.69 -26.760 2.75021862 0.68755466

-0.02805455 -1.115 1.375 -13.38 0.18927469h = 3 -0.01870303 -0.01870303

m2 -0.03555862 -0.03555862 -0.142 6.08749081 1.5218727-0.00696842 0.04523407 3.044 -0.07111724 0.24834034

-0.01999101 -0.01999101m3 -0.51033667 -0.51033667 -2.041 1.35315465 0.33828866

0.00 -7.27 -8.34 15.62 -43.4002532 2.946637010E+00

A,1-3.345

h = 3 -0.02805455-0.01777931-0.01777931-0.00696842-0.25516834-3.67074992

Page 36: Metodo de Cross - Concreto I

AZOTEA

Page 37: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 10.89 10.89 7.5625CV 0 0 0

PISO TIPICOCM 13.38 13.38 9.29CV 0 0 0

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.147.56 7.56 10.88 10.8750.00 0 0 0

7.563 -7.563 10.875 -10.8750.33954082 1.62979592 -1.62244898 -0.3380102 -1.35204082 8.7

0 -0.81122449 0.81489796 0 -0.1690051 -0.676020410.00057977 0.000579770.52720864 2.5306015 -0.31663965 -0.06596659 -0.26386638 0.540352510.00014494 -0.15831983 1.26530075 0.00014494 -0.0329833 -0.13193319

-0.03133213 -0.031332130.04707873 0.22597791 -0.5883087 -0.12256431 -0.49025725 0.1304963

0.88 10.98 -8.01 -0.56 8.57 -2.310 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 9.29 9.29 0 0 13.38 13.38 00 0.00 0.00 0 0 0.00 0.00 0

9.29 -9.29 13.38 -13.380.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.23

0 -0.90851852 0.90851852 -0.18927469 0 4.46 -0.75709877 1.1150 0.36358696 0 0.363586960 0

0.44589415 2.14029194 -2.46348035 -0.51322507 -0.51322507 -2.05290029 -0.48099213 -0.120248030.00028988 -1.23174017 1.07014597 -0.04136834 0.00028988 -0.24049606 -1.02645015 -0.122741770.00014494 -0.04208815 0.00014494 -0.042088150.00934866 0.04487355 -0.33183478 -0.06913225 -0.06913225 -0.27652898 0.79389682 0.198474210.83422702 11.1536105 -11.9253543 -0.87005092 -0.96047187 13.7558771 -5.93064421 3.62198321

0.18927469 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29 13.38 13.380.00 0 0.00 09.29 -9.29 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.18927469 -0.90851852 0.90851852 -0.18927469 -0.18927469 4.46 -0.75709877 1.115-4.0225E-17 0.36358696 -4.0225E-17 0

0.1186465 0.56950319 -2.37935826 -0.08273668 -0.08273668 -1.98279855 -0.98193416 -0.24548354

Page 38: Metodo de Cross - Concreto I

0.05932325 -1.18967913 0.2847516 -0.25661254 -0.05182985 -0.49096708 -0.99139928 -0.060124020.01852464 -0.04208815 0.01852464 -0.042088150.07764162 0.37267976 0.2392095 0.04983531 0.04983531 0.19934125 0.76734815 0.191837040.84196007 9.952689 -12.0555823 -0.53583916 -0.63403065 14.0513781 -6.42308405 3.18914133

0 0.8259259314,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29 13.38 13.380.00 0 0.00 09.29 -9.29 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.18927469 -0.90851852 0.90851852 -0.18927469 -0.18927469 4.46 -0.75709877 1.115-4.0225E-17 0.36358696 -4.0225E-17 0.36358696

0.1186465 0.56950319 -2.37935826 -0.49569964 -0.49569964 -1.98279855 -1.22432546 -0.306081370.05932325 -1.18967913 0.2847516 -0.05182985 -0.04136834 -0.61216273 -0.99139928 -0.075935420.01852464 -0.04314191 0.01852464 -0.043141910.07789648 0.56950319 0.19787849 0.04122468 0.04122468 -1.98279855 0.80979582 0.202448960.84221494 10.1495124 -12.0969134 -0.75368383 -1.04514273 11.7480426 -6.62302768 3.48587722

0.19560007 -2.1476972910,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29166667 13.38 13.380.00 0 0.00 09.29 -9.29166667 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.230.03623188 -0.90851852 0.90851852 -0.18927469 0.03623188 4.46 -0.75709877 1.1150.00046214 0.36358696 0.00046214 0.363586960.44249656 2.12398349 -2.4797888 -0.1036597 -0.1036597 -2.06649067 -0.60748335 -0.15187084

0 -1.2398944 1.06199174 -0.24784982 0 -0.30374167 -1.03324533 -0.15304068-0.02804193 -0.04314191 -0.02804193 -0.043141910.01397052 0.06705847 -0.1952073 -0.04066819 -0.04066819 -0.16267275 0.83831323 0.209578310.84366855 11.1513327 -11.8131895 -0.63955673 -0.51422518 13.7928974 -6.01951421 3.57011184

0 0.825925936,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

9.29 9.29166667 13.38 13.380.00 0 0.00 09.29 -9.29166667 13.38 -13.38

0.37854938 1.81703704 -1.81703704 -0.37854938 -0.37854938 -1.51419753 8.92 2.23-0.16666667 -0.90851852 0.90851852 -0.18927469 -0.16666667 4.46 -0.75709877 1.1150.00046214 -0.01870303 0.00046214 -0.018703030.49668068 2.38406728 -2.21970501 -0.46243854 -0.46243854 -1.84975417 -0.35262335 -0.08815584

0 -1.1098525 1.19203364 -0.05182985 0 -0.17631168 -0.92487709 -0.07593542-0.01999101 -0.01999101

0.06737583 0.32340399 -0.4195116 -0.08739825 -0.08739825 -0.349593 0.68053568 0.17013392

Page 39: Metodo de Cross - Concreto I

0.77640137 11.797804 -11.6473682 -1.20818476 -1.09459071 13.9501436 -5.81406353 3.312348620 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.149.29 9.29166667 13.38 13.380.00 0 0.00 0

32.7144097 -32.7144097 47.10875 -47.108750.68755466 3.30026235 -6.39748457 -1.33280928 -1.33280928 -5.33123714 31.4058333 7.85145833

-0.02805455 -3.19874228 1.65013117 -0.18927469 -0.02805455 15.7029167 -2.66561857 1.115-0.01870303 0.00046214

1.5218727 7.30498897 -7.60756247 -1.58490885 -1.58490885 -6.33963539 0.90725449 0.22681362-0.00696842 -3.80378124 3.65249448 -0.23121927 -0.00696842 0.45362725 -3.1698177 -0.04407792

-0.01999101 -0.019991010.33828866 1.62378558 -1.7101969 -0.35629102 -0.35629102 -1.42516409 2.16057003 0.540142512.51269305 37.9409231 -43.127028 -3.73319716 -3.30903212 50.1692573 -18.4705284 9.66980767

0 0B,2 C,30.34377733 -0.66640464

-0.02805455 -0.028054550.76093635 -0.792454420.76093635 -0.79245442

-0.00696842 -0.006968420.16914433 -0.17814551

1.9997714 -2.46448197

Page 40: Metodo de Cross - Concreto I

28,24-0.20

2.1750

0.00057976930.16888914820.0001449423

-0.03133212730.0326240748

2.350.03

24,28-0.17

00

2.23000

-0.12024803180.00028988460.0001449423

0.1984742062.3086610011

020,24

-0.17

2.231.115

-4.022547E-17-0.2454835391

Page 41: Metodo de Cross - Concreto I

-0.07593541820.01852463630.19183703713.2339427161

016,20

-0.17

2.231.115

-4.022547E-17-0.3060813652-0.12274176950.01852463630.20244895573.1371504573

012,16

-0.17

2.230.18927469140.0004621364

-0.15187083650

-0.02804192630.20957830822.4494023732

08,12

-0.17

2.230.18927469140.0004621364

-0.08815583830

0.170133919

Page 42: Metodo de Cross - Concreto I

2.50171490850

4,D-0.17

7.85145833330.1892746914

0.2268136237-0.006968416

0.54014250718.8007207395

0D,43.92572916670.18927469140.11340681180.1134068118-0.0069684160.27007125354.6049203192

Page 43: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 44: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 45: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 46: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 47: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 48: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 49: Metodo de Cross - Concreto I

25,26 0.00 0.83 6 0 2.4926,27 0 0.83 5 0.00 1.7327,28 0.00 0.83 6 0.00 2.49

P.TIPICO AB 0 1.1 6 0.00 3.30BC 0 1.1 5 0.00 2.29CD 0 1.1 6 0.00 3.30

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0 0WL 0.00 2.49 2.49

continuacion M 0.00 2.49 -2.490 m1 -0.498 -1.992 0.31054422-3 0 0.15527211 -0.996-6 h = 3 0-9 m2 -0.03105442 -0.12421769 0.48258226

-12 0 0.24129113 -0.06210884-15 -0.00695975-18 m3 -0.04686628 -0.1874651 0.04293597

0.00 -0.58 0.58 -2.710.00 0

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0 3.30 3.3 0M 0.00 3.30 -3.3 0.0466821m1 -0.55 -0.55 -2.2 0.37345679 0.0933642

0 -1.1 0.1867284 -1.1 0.0466821h = 3 0 0.09619565 0.09619565

0m2 0.13617933 0.13617933 0.5447173 0.37081345 0.09270336

0 0.0868514 0.18540673 0.27235865 0.00569410 -0.00670118 -0.00670118

m3 -0.04425949 -0.04425949 -0.17703797 -0.0065839 -0.001645980 -0.45808017 -1.38173429 1.84 -3.38995501 0.37297435

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 3.30 3.3M 0.00 3.30 -3.3m1 -0.55 -2.2 -0.55 0.37345679 0.0933642

-0.275 -0.275 0.1867284 -0.275 0.0466821h = 3 0.00652174 0.09619565 0.09619565

m2 0.0434257 0.17370281 0.0434257 0.04555277 0.01138819

Page 50: Metodo de Cross - Concreto I

0.02171285 0.06808966 0.02277639 0.02171285 0.046351680.00875771 -0.00670118 -0.00670118

m3 -0.0191059 -0.07642362 -0.0191059 0.06561803 0.016404510 -0.76368791 -2.22013667 2.98382458 -3.06865956 0.30368515

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 3.30 3.3M 0 3.30 -3.3m1 -0.55 -2.2 -0.55 0.37345679 0.0933642

-0.275 -0.275 0.1867284 -0.275 0.0466821h = 3 0.00652174 0.09619565 0.09619565

m2 0.0434257 0.17370281 0.0434257 0.04555277 0.011388190.02171285 0.06380844 0.02277639 0.02171285 0.043973230.00875771 -0.00607467 -0.00607467

m3 -0.01849679 -0.07398714 -0.01849679 0.0662669 0.016566720 -0.76307879 -2.22135491 2.9844337 -3.06801069 0.30209542

00.00 9,5 9,13 9,10 10,9 10,6

ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.30m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

0.03623188 -1.1 0.187 -1.1 0.0466821h = 3 0.01514276 0.09619565 0.09619565

m2 0.12761688 0.12761688 0.510 0.35178581 0.087946450.0868514 0.176 0.25523377 0.0056941

-0.00506359 -0.00607467 -0.00607467m3 -0.04193434 -0.04193434 -0.168 0.00375497 0.00093874

0.00 -0.42 -1.39 1.81 -3.41576866 0.324746570E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.30m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

-0.16666667 -0.275 0.187 -1.1 0.0466821h = 3 0.01514276 0.00738896 0.09619565

m2 0.03873443 0.03873443 0.155 0.42693342 0.106733350.06380844 0.213 0.07746885 0.04397323

-0.00189792 -0.00189792m3 -0.04589621 -0.04589621 -0.184 0.03716996 0.00929249

Page 51: Metodo de Cross - Concreto I

0.00 -0.71 -0.76 1.47 -3.48497098 0.39434310E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 9.9 -9.9m1 -1.65 -1.65 -6.600 0.67830504 0.16957626

0.00456169 -0.275 0.339 -3.3 0.0466821h = 3 0.00738896 0.00738896

m2 -0.01268386 -0.01268386 -0.051 1.25797953 0.314494880.00163296 0.01936721 0.629 -0.02536772 0.05336668

-0.00189792 -0.00189792m3 -0.10801534 -0.10801534 -0.432 0.26397039 0.0659926

0.00 -1.76 -2.02 3.79 -11.0251128 0.655603550E+00

A,1-0.825

h = 3 0.00456169-0.00634193-0.006341930.00163296

-0.05400767-0.88549687

25,21 25,26 26,250.000 -0.583 0.000 0.583 -2.712 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 -0.458 -1.382 1.840 -3.390 0.373

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 -0.764 -2.220 2.984 -3.069 0.304

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 52: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 -0.763 -2.221 2.984 -3.068 0.302

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 -0.418 -1.387 1.805 -3.416 0.325

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 -0.709 -0.763 1.472 -3.485 0.394

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 -1.765 -2.021 3.785 -11.025 0.656

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,1-0.885

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 53: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 54: Metodo de Cross - Concreto I

AZOTEA

Page 55: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 2.49 2.49 1.72916667

PISO TIPICOCM 0 0 0CV 3.3 3.3 2.29166667

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0.00 01.73 1.72916667 2.49 2.49

1.729 -1.729 2.490 -2.4900.07763605 0.37265306 -0.37265306 -0.07763605 -0.31054422 1.992

0 -0.18632653 0.18632653 0 -0.03881803 -0.155272110 0

0.12064556 0.57909871 -0.07224906 -0.01505189 -0.06020755 0.124217690 -0.03612453 0.28954935 0 -0.00752594 -0.03010378

-0.00695975 -0.006959750.01073399 0.05152316 -0.13472506 -0.02806772 -0.11227088 0.02965082

0.20 2.51 -1.83 -0.13 1.96 -0.530 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 2.29 2.29 0 0 2.49 2.49 0

2.29 -2.29 2.49 -2.490.0933642 0.44814815 -0.08814815 -0.0183642 -0.0183642 -0.07345679 1.66 0.415

0 -0.04407407 0.22407407 -0.0091821 0 0.83 -0.0367284 0.20750 0.09619565 0 0.096195650 0

0.09270336 0.44497614 -0.50715006 -0.10565626 -0.10565626 -0.42262505 -0.17797817 -0.044494540 -0.25357503 0.22248807 -0.01427904 0 -0.08898909 -0.21131252 -0.039538940 -0.00670118 0 -0.00670118

-0.00164598 -0.00790069 -0.05000834 -0.0104184 -0.0104184 -0.04167362 0.17170176 0.042925440.18442158 2.87924117 -2.49041107 -0.06840553 -0.13443886 2.69325546 -1.08431733 0.67088643

0.0466821 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.002.29 2.29166667 2.49 2.492.29 -2.29 2.49 -2.49

0.0933642 0.44814815 -0.08814815 -0.0183642 -0.0183642 -0.07345679 1.66 0.4150.0466821 -0.04407407 0.22407407 -0.0091821 -0.0091821 0.83 -0.0367284 0.2075

0.00652174 0.09619565 0.00652174 00.01138819 0.05466333 -0.50596767 -0.02855808 -0.02855808 -0.42163973 -0.3163115 -0.07907788

Page 56: Metodo de Cross - Concreto I

0.0056941 -0.25298384 0.02733166 -0.05282813 -0.01678066 -0.15815575 -0.21081986 -0.022247270.00875771 -0.00670118 0.00875771 -0.006701180.01640451 0.07874164 0.08816727 0.01836818 0.01836818 0.07347272 0.1722733 0.043068320.18881254 2.57616187 -2.54620948 -0.00106985 -0.03923741 2.74022045 -1.22158646 0.557542

0 0.153703714,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.002.29 2.29166667 2.49 2.492.29 -2.29 2.49 -2.49

0.0933642 0.44814815 -0.08814815 -0.0183642 -0.0183642 -0.07345679 1.66 0.4150.0466821 -0.04407407 0.22407407 -0.0091821 -0.0091821 0.83 -0.0367284 0.2075

0.00652174 0.09619565 0.00652174 0.096195650.01138819 0.05466333 -0.50596767 -0.10540993 -0.10540993 -0.42163973 -0.38044194 -0.09511048

0.0056941 -0.25298384 0.02733166 -0.01678066 -0.01427904 -0.19022097 -0.21081986 -0.027399340.00875771 -0.00607467 0.00875771 -0.006074670.01656672 0.05466333 0.0850071 0.01770981 0.01770981 -0.42163973 0.18338341 0.045845850.18897476 2.55208356 -2.54936965 -0.04190609 -0.11424601 2.21304278 -1.27460679 0.63595701

-0.02485695 -0.4924789810,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 2.49 2.492.29 -2.29 2.49 -2.49

0.0933642 0.44814815 -0.08814815 -0.0183642 -0.0183642 -0.07345679 1.66 0.4150.03623188 -0.04407407 0.22407407 -0.0091821 0.03623188 0.83 -0.0367284 0.20750.01514276 0.09619565 0.01514276 0.096195650.08794645 0.42214297 -0.52998323 -0.03356132 -0.03356132 -0.44165269 -0.21919474 -0.05479869

0 -0.26499162 0.21107148 -0.05270497 0 -0.10959737 -0.22082635 -0.04755524-0.00607467 -0.00607467

0.00093874 0.00450596 -0.01897532 -0.00395319 -0.00395319 -0.01581277 0.18297084 0.045742710.23362403 2.85739806 -2.49362781 -0.02764479 -0.00450407 2.67948038 -1.12377865 0.65600976

0 0.15370376,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 2.49 2.492.29 -2.29 2.49 -2.49

0.0933642 0.44814815 -0.08814815 -0.0183642 -0.0183642 -0.07345679 1.66 0.415-0.16666667 -0.04407407 0.22407407 -0.0091821 -0.16666667 0.83 -0.0367284 0.20750.01514276 0.09619565 0.01514276 0.015142760.10673335 0.5123201 -0.4398061 -0.09162627 -0.09162627 -0.36650508 -0.16515948 -0.04128987

0 -0.21990305 0.25616005 -0.01678066 0 -0.08257974 -0.18325254 -0.02739934-0.00189792 -0.00189792

0.00929249 0.04460395 -0.06884521 -0.01434275 -0.01434275 -0.05737101 0.14169987 0.03542497

Page 57: Metodo de Cross - Concreto I

0.05786613 3.03276175 -2.408232 -0.05599825 -0.27585713 2.74008738 -1.07344055 0.602480590 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 2.49 2.49

8.06857639 -8.06857639 8.766875 -8.7668750.16957626 0.81396605 -0.31035494 -0.06465728 -0.06465728 -0.25862912 5.84458333 1.461145830.00456169 -0.15517747 0.40698302 -0.0091821 0.00456169 2.92229167 -0.12931456 0.2075

0.00738896 0.015142760.31449488 1.50957543 -1.48090811 -0.30852252 -0.30852252 -1.23409009 -0.0933402 -0.023335050.00163296 -0.74045405 0.75478772 -0.04581314 0.00163296 -0.0466701 -0.61704505 -0.02064494

-0.00189792 -0.001897920.0659926 0.31676447 -0.29423979 -0.06129996 -0.06129996 -0.24519982 0.42530329 0.106325820.5562584 9.81325081 -8.99230848 -0.48398395 -0.4282851 9.90457754 -3.33668818 1.74423651

0 0B,2 C,30.08478813 -0.032328640.00456169 0.004561690.15724744 -0.154261260.15724744 -0.154261260.00163296 0.00163296

0.0329963 -0.030649980.43847397 -0.36530648

26,22 26,27 27,26 27,23 27,28 28,270.202 2.510 -1.833 0.000 -0.128 1.961 -0.530 0.000

-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,200.184 2.879 -2.490 -0.068 -0.134 2.693 -1.084 0.671

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,160.189 2.576 -2.546 -0.001 -0.039 2.740 -1.222 0.558

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 58: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,120.189 2.552 -2.549 -0.042 -0.114 2.213 -1.275 0.6360.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,80.234 2.857 -2.494 -0.028 -0.005 2.679 -1.124 0.656

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,40.058 3.033 -2.408 -0.056 -0.276 2.740 -1.073 0.602

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,80.556 9.813 -8.992 -0.484 -0.428 9.905 -3.337 1.744

-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

0.438 -0.365-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 59: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 60: Metodo de Cross - Concreto I

28,24-0.20

0.49800

0.038818030

-0.006959750.00741271

0.540.01

24,28-0.17

00

0.415000

-0.0444945400

0.042925440.4134309

020,24

-0.17

0.4150.2075

0.09619565-0.07907788

Page 61: Metodo de Cross - Concreto I

-0.027399340.008757710.043068320.66404446

016,20

-0.17

0.4150.2075

0.09619565-0.09511048-0.039538940.008757710.045845850.63864979

012,16

-0.17

0.4150.0466821

0.01514276-0.05479869

0

0.045742710.46776888

08,12

-0.17

0.4150.0466821

0.01514276-0.04128987

0

0.03542497

Page 62: Metodo de Cross - Concreto I

0.470959950

4,D-0.17

1.461145830.0466821

-0.023335050.00163296

0.106325821.59245167

0D,40.73057292

0.0466821-0.01166753-0.011667530.001632960.053162910.80871584

28,240.537

24,280.413

20,240.664

Page 63: Metodo de Cross - Concreto I

16,200.639

12,160.468

8,120.471

4,D1.592

D40.8090.5090.159-0.03-0.030.179

Page 64: Metodo de Cross - Concreto I

-0.01627.897

Page 65: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 66: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 67: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 68: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 69: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 70: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 71: Metodo de Cross - Concreto I

25,26 0.00 0.83 6 0 2.4926,27 0 0.83 5 0.00 1.7327,28 0.00 0.83 6 0.00 2.49

P.TIPICO AB 0 1.1 6 0.00 3.30BC 0 1.1 5 0.00 2.29CD 0 1.1 6 0.00 3.30

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0 0WL 0.00 2.49 2.49

continuacion M 0.00 2.49 -2.490 m1 -0.498 -1.992 0.31054422-3 0 0.15527211 -0.996-6 h = 3 0-9 m2 -0.03105442 -0.12421769 0.23368596

-12 0 0.11684298 -0.06210884-15 0.00069738-18 m3 -0.02350807 -0.09403229 0.0525094

0.00 -0.55 0.55 -2.950.00 0

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0 0.00 0 0M 0.00 0.00 0 -0.10609568m1 0 0 0 -0.84876543 -0.21219136

0 0 -0.42438272 0 -0.10609568h = 3 0 -0.00332126 -0.00332126

0m2 0.071284 0.071284 0.28513598 0.12351519 0.0308788

0 0.14699633 0.06175759 0.14256799 -0.012984330 -0.01541385 -0.01541385

m3 -0.03222335 -0.03222335 -0.12889339 0.01479432 0.003698580 0.03906065 0.16732188 -0.21 -0.56788793 -0.42152477

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 0.00 0M 0.00 0.00 0m1 0 0 0 -0.84876543 -0.21219136

0 0 -0.42438272 0 -0.10609568h = 3 -0.01328502 -0.00332126 -0.00332126

m2 0.07349817 0.29399266 0.07349817 -0.10387467 -0.02596867

Page 72: Metodo de Cross - Concreto I

0.06049606 0.035642 -0.05193734 0.03674908 0.0154394-0.00223732 -0.01541385 -0.01541385

m3 -0.00442493 -0.01769971 -0.00442493 -0.0690735 -0.017268380 0.11404696 0.29319985 -0.40724681 -0.98496452 -0.36481978

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 0.00 0M 0 0.00 0m1 0 0 0 -0.84876543 -0.21219136

0 -0.275 -0.42438272 0 0.0466821h = 3 -0.01328502 -0.01328502 -0.01328502

m2 0.12099213 0.48396851 0.12099213 0.11483619 0.028709050.03674908 -0.01809574 0.05741809 0.06049606 0.0648032

-0.00223732 -0.02839465 -0.02839465m3 -0.00757324 -0.03029298 -0.00757324 0.02107086 0.00526771

0 0.13464563 0.11890011 -0.25354574 -0.65236232 -0.108408970

0.00 9,5 9,13 9,10 10,9 10,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.3m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

0.03623188 0 0.187 -1.1 -0.10609568h = 3 0.00747368 -0.01328502 -0.01328502

m2 -0.03619149 -0.03619149 -0.145 0.51842564 0.129606410.24198425 0.259 -0.07238298 0.01435452

-0.00695653 -0.02839465 -0.02839465m3 -0.07764098 -0.07764098 -0.311 0.13964745 0.03491186

0.00 -0.63 -0.46 1.09 -3.4408531 0.124461640E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0.00 0.00m1 0 0 0.000 -0.84876543 -0.21219136

-0.16666667 -0.275 -0.424 0 0.0466821h = 3 0.00747368 0.01328502 -0.01328502

m2 0.14088178 0.14088178 0.564 0.12958148 0.03239537-0.01809574 0.065 0.28176356 0.06480320.00100591 0.00100591

m3 -0.00795015 -0.00795015 -0.032 -0.09814785 -0.02453696

Page 73: Metodo de Cross - Concreto I

0.00 -0.03 -0.15 0.17 -0.53556825 -0.105126760E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 9.9 -9.9m1 -1.65 -1.65 -6.600 0.67830504 0.16957626

0.03985507 0 0.339 -3.3 -0.10609568h = 3 0.01328502 0.01328502

m2 -0.0653821 -0.0653821 -0.262 0.57775504 0.144438760.01291584 0.07044089 0.289 -0.13076421 0.01619768

0.00100591 0.00100591m3 -0.06220669 -0.06220669 -0.249 0.07130391 0.01782598

0.00 -1.72 -1.69 3.42 -12.0034002 0.256233940E+00

A,1-0.825

h = 3 0.03985507-0.03269105-0.032691050.01291584

-0.03110335-0.86871454

25,21 25,26 26,250.000 -0.552 0.000 0.552 -2.951 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 0.039 0.167 -0.206 -0.568 -0.422

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 0.114 0.293 -0.407 -0.985 -0.365

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 74: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 0.135 0.119 -0.254 -0.652 -0.108

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 -0.627 -0.464 1.091 -3.441 0.124

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 -0.026 -0.146 0.172 -0.536 -0.105

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 -1.725 -1.693 3.418 -12.003 0.256

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,1-0.869

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 75: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 76: Metodo de Cross - Concreto I

AZOTEA

Page 77: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 2.49 2.49 1.72916667

PISO TIPICOCM 0 0 0CV 3.3 3.3 2.29166667

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0.00 01.73 1.72916667 0.00 0

1.729 -1.729 0.000 0.0000.07763605 0.37265306 0.84693878 0.17644558 0.70578231 0

0 0.42346939 0.18632653 0 0.08822279 0.352891160 0

0.05842149 0.28042316 -0.13447314 -0.02801524 -0.11206095 -0.282312930 -0.06723657 0.14021158 0 -0.01400762 -0.05603047

0.00069738 0.000697380.01312735 0.06301128 -0.06215576 -0.01294912 -0.05179646 0.04426648

0.15 2.80 -0.75 0.14 0.62 0.060 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 2.29 2.29 0 0 3.30 3.30 0

2.29 -2.29 3.30 -3.30-0.21219136 -1.01851852 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55

0 -0.22407407 -0.50925926 0.10609568 0 1.1 -0.1867284 00 -0.00332126 0 -0.003321260 0

0.0308788 0.14821823 -0.30822896 -0.06421437 -0.06421437 -0.25685747 0.12669977 0.031674940 -0.15411448 0.07410911 0.02866804 0 0.06334988 -0.12842873 -0.080921790 -0.01541385 0 -0.01541385

0.00369858 0.01775319 -0.06698364 -0.01395493 -0.01395493 -0.0558197 0.14984291 0.03746073-0.17761398 1.06093101 -3.55017756 -0.05550487 -0.17153349 3.77721592 -1.13861445 0.51947878

-0.10609568 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.002.29 2.29166667 0.00 02.29 -2.29 0.00 0.00

-0.21219136 -1.01851852 1.01851852 0.21219136 0.21219136 0.84876543 0 0-0.10609568 0.50925926 -0.50925926 -0.0466821 -0.0466821 0 0.42438272 0.275-0.01328502 -0.00332126 -0.01328502 0-0.02596867 -0.12464961 0.27521322 0.05733609 0.05733609 0.22934435 -0.64737431 -0.16184358

Page 78: Metodo de Cross - Concreto I

0.01435452 0.13760661 -0.0623248 -0.03210718 -0.00962095 -0.32368715 0.11467217 0.01583747-0.00223732 -0.01541385 -0.00223732 -0.01541385-0.01726838 -0.0828882 0.19795167 0.04123993 0.04123993 0.16495972 -0.07655207 -0.01913802

-0.3626919 1.71247621 -1.37156733 0.21324299 0.23894199 0.91938235 -0.18487148 0.094442030 0

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0.00 0.00 0.002.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.30

-0.21219136 -1.01851852 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55-0.10609568 -0.22407407 -0.50925926 -0.0466821 0.10609568 1.1 -0.1867284 0.275-0.01328502 -0.01328502 -0.01328502 -0.013285020.02870905 0.13780342 -0.27714857 -0.05773928 -0.05773928 -0.23095714 -0.04777688 -0.01194422

-0.01298433 -0.13857428 0.06890171 -0.00962095 0.02866804 -0.02388844 -0.11547857 0.00196962-0.00223732 -0.02839465 -0.00223732 -0.028394650.00526771 0.13780342 -0.01485707 -0.00309522 -0.00309522 -0.23095714 0.1500418 0.03751045

-0.31281695 1.18610664 -3.47217799 -0.25218143 -0.03495732 3.54074049 -1.29994204 0.810856170.11251839 -0.21857625

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29166667 3.30 -3.3

0.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.550.03623188 -0.22407407 0.22407407 -0.0466821 0.03623188 1.1 -0.1867284 0.2750.00747368 -0.01328502 0.00747368 -0.013285020.12960641 0.62211076 -0.58125001 -0.0192419 -0.0192419 -0.484375 0.01575695 0.00393924

0 -0.290625 0.31105538 -0.02886964 0 0.00787847 -0.2421875 -0.00597211-0.02839465 -0.02839465

0.03491186 0.16757694 -0.11629758 -0.02422866 -0.02422866 -0.09691465 0.18436951 0.046092380.30158803 3.01480344 -2.90223295 -0.25406618 -0.0931292 3.45313203 -1.32878944 0.82737983

0 0.20370376,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29166667 3.30 -3.30

-0.21219136 -1.01851852 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55-0.16666667 -0.22407407 -0.50925926 -0.0466821 -0.16666667 1.1 -0.1867284 0.2750.00747368 -0.01328502 0.00747368 0.007473680.03239537 0.15549777 -0.16514695 -0.03440561 -0.03440561 -0.13762245 -0.09993404 -0.02498351

0 -0.08257347 0.07774889 -0.00962095 0 -0.04996702 -0.06881123 0.001969620.00100591 0.00100591

-0.02453696 -0.11777742 -0.00851859 -0.00177471 -0.00177471 -0.00709883 0.04389046 0.01097262

Page 79: Metodo de Cross - Concreto I

-0.36352594 1.00422095 -3.34499073 -0.19812668 -0.28873751 3.83185491 -1.4115832 0.821438320 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 0.00 0

8.06857639 -8.06857639 0 00.16957626 0.81396605 3.58603395 0.74709041 0.74709041 2.98836163 0 00.03985507 1.79301698 0.40698302 -0.0466821 0.03985507 0 1.49418081 0.275

0.01328502 0.007473680.14443876 0.69330605 -0.18375157 -0.03828158 -0.03828158 -0.1531263 -1.11370587 -0.278426470.01291584 -0.09187578 0.34665302 -0.01720281 0.01291584 -0.55685294 -0.07656315 -0.01249175

0.00100591 0.001005910.01782598 0.08556469 0.09488043 0.01976676 0.01976676 0.07906703 0.05008877 0.012522190.38461191 11.3625544 -3.81777752 0.67898162 0.7813465 2.35744941 0.35400056 0.00508356

0 0B,2 C,30.08478813 0.37354520.03985507 0.039855070.07221938 -0.019140790.07221938 -0.019140790.01291584 0.012915840.00891299 0.009883380.29091079 0.39791791

26,22 26,27 27,26 27,23 27,28 28,270.150 2.801 -0.752 0.000 0.136 0.616 0.059 0.000

-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.178 1.061 -3.550 -0.056 -0.172 3.777 -1.139 0.519-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16-0.363 1.712 -1.372 0.213 0.239 0.919 -0.185 0.094-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 80: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.313 1.186 -3.472 -0.252 -0.035 3.541 -1.300 0.8110.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,80.302 3.015 -2.902 -0.254 -0.093 3.453 -1.329 0.827

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4-0.364 1.004 -3.345 -0.198 -0.289 3.832 -1.412 0.821-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,80.385 11.363 -3.818 0.679 0.781 2.357 0.354 0.005

-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

0.291 0.398-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 81: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 82: Metodo de Cross - Concreto I

28,24-0.20

000

-0.088222790

0.000697380.01106662

-0.08-0.02

24,28-0.17

00

0.55000

0.0316749400

0.037460730.61913567

020,24

-0.17

00.275

-0.00332126-0.16184358

Page 83: Metodo de Cross - Concreto I

0.00196962-0.00223732-0.019138020.09042945

016,20

-0.17

0.550

-0.00332126-0.01194422-0.08092179-0.002237320.037510450.48908587

012,16

-0.17

0.55-0.106095680.007473680.00393924

0

0.046092380.50140961

08,12

-0.17

0.550.0466821

0.00747368-0.02498351

0

0.01097262

Page 84: Metodo de Cross - Concreto I

0.590144880

4,D-0.17

0-0.10609568

-0.278426470.01291584

0.01252219-0.35908412

0D,4

0-0.10609568-0.13921323-0.139213230.01291584

0.0062611-0.36534521

28,24-0.076

24,280.619

20,240.090

Page 85: Metodo de Cross - Concreto I

16,200.489

12,160.501

8,120.590

4,D-0.359

D4-0.3650.5090.159-0.03-0.030.179

Page 86: Metodo de Cross - Concreto I

-0.01627.897

Page 87: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 88: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 89: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 90: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 91: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 92: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 93: Metodo de Cross - Concreto I

25,26 0.00 0.83 6 0 2.4926,27 0 0.83 5 0.00 1.7327,28 0.00 0.83 6 0.00 2.49

P.TIPICO AB 0 1.1 6 0.00 3.30BC 0 1.1 5 0.00 2.29CD 0 1.1 6 0.00 3.30

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0 0WL 0.00 0 0

continuacion M 0.00 0 00 m1 0 0 -0.70578231-3 0 -0.35289116 0-6 h = 3 0-9 m2 0.07057823 0.28231293 0.07605165

-12 0 0.03802582 0.14115646-15 -0.00237899-18 m3 -0.00712937 -0.02851747 -0.10285335

0.00 0.06 -0.06 -0.590.00

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0 3.30 3.3 0M 0.00 3.30 -3.3 -0.10609568m1 -0.55 -0.55 -2.2 0.37345679 0.0933642

0 0 0.1867284 -1.1 -0.10609568h = 3 0 0.01992754 0.01992754

0m2 -0.03444266 -0.03444266 -0.13777062 0.25070699 0.06267675

0 0.31815173 0.1253535 -0.06888531 0.005128810 -0.04484587 -0.04484587

m3 -0.06644323 -0.06644323 -0.2657729 0.05646339 0.014115850 -0.65088588 -0.35765249 1.01 -3.78825814 -0.06182409

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 0.00 0M 0.00 0.00 0m1 0 0 0 -0.84876543 -0.21219136

-0.275 -0.275 -0.42438272 0 0.0466821h = 3 -4.0225E-18 0.01992754 0.01992754

m2 0.15907586 0.63630345 0.15907586 0.0410305 0.01025762

Page 94: Metodo de Cross - Concreto I

-0.02303353 -0.01722133 0.02051525 0.07953793 0.03133837-0.00233938 -0.04484587 -0.04484587

m3 0.01115414 0.04461657 0.01115414 0.0460518 0.011512950 -0.1301429 0.36378036 -0.23363746 -0.6821452 -0.13731864

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 3.30 3.3M 0 3.30 -3.3m1 -0.55 -2.2 -0.55 0.37345679 0.0933642

0 0 0.1867284 -0.275 -0.10609568h = 3 -4.0225E-18 0.08967391 0.08967391

m2 -0.04606705 -0.18426821 -0.04606705 -0.04138586 -0.010346460.07953793 0.11591694 -0.02069293 -0.02303353 0.00203762

-0.00233938 0.00392342 0.00392342m3 -0.029391 -0.11756399 -0.029391 0.02342861 0.00585715

0 -0.54825949 -2.29231792 2.84057742 -3.24253399 0.078414150

0.00 9,5 9,13 9,10 10,9 10,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0.00 0.00m1 0 0 0.000 -0.84876543 -0.21219136

0.03623188 -1.1 -0.424 0 0.0466821h = 3 0.00747368 0.08967391 0.08967391

m2 0.23183387 0.23183387 0.927 0.01630093 0.00407523-0.0921341 0.008 0.46366775 -0.00517323

-0.01075668 0.00392342 0.00392342m3 0.01513615 0.01513615 0.061 -0.10293537 -0.02573384

0.00 0.28 -0.85 0.57 -0.47173213 -0.098743770E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.30m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

-0.16666667 0 0.187 -1.1 -0.10609568h = 3 0.00747368 -0.03561125 0.08967391

m2 0.00134597 0.00134597 0.005 0.55544031 0.138860080.11591694 0.278 0.00269195 0.00203762

-0.01580863 -0.01580863m3 -0.06297141 -0.06297141 -0.252 0.10351676 0.02587919

Page 95: Metodo de Cross - Concreto I

0.00 -0.77 -0.55 1.32 -3.36489419 0.227910690E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0 0m1 0 0 0.000 -2.98836163 -0.74709041

-0.04677436 -0.275 -1.494 0 0.0466821h = 3 -0.03561125 -0.03561125

m2 0.3085944 0.3085944 1.234 0.30541888 0.07635472-0.01407774 0.00067299 0.153 0.6171888 0.06943004

-0.01580863 -0.01580863m3 -0.02058268 -0.02058268 -0.082 -0.08267195 -0.02066799

0.00 0.23 -0.04 -0.19 -2.14842589 -0.626711410E+00

A,10

h = 3 -0.046774360.15429720.1542972

-0.01407774-0.010291340.23745096

25,21 25,26 26,250.000 0.061 0.000 -0.061 -0.591 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 -0.651 -0.358 1.009 -3.788 -0.062

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 -0.130 0.364 -0.234 -0.682 -0.137

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 96: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 -0.548 -2.292 2.841 -3.243 0.078

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 0.280 -0.852 0.572 -0.472 -0.099

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 -0.771 -0.547 1.318 -3.365 0.228

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 0.227 -0.038 -0.189 -2.148 -0.627

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,10.237

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 97: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 98: Metodo de Cross - Concreto I

AZOTEA

Page 99: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 2.49 2.49 1.72916667

PISO TIPICOCM 0 0 0CV 3.3 3.3 2.29166667

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0 01.73 1.72916667 2.49 2.49

1.729 -1.729 2.490 -2.490-0.17644558 -0.84693878 -0.37265306 -0.07763605 -0.31054422 1.992

0 -0.18632653 -0.42346939 0 -0.03881803 -0.155272110 0

0.01901291 0.09126197 0.22642649 0.04717219 0.18868874 0.124217690 0.11321324 0.04563099 0 0.02358609 0.09434437

-0.00237899 -0.00237899-0.02571334 -0.12342403 -0.03273702 -0.00682021 -0.02728085 -0.07357231

-0.19 0.78 -2.29 -0.04 2.33 -0.510 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 2.29 2.29 0 0 0.00 0.00 0

2.29 -2.29 0.00 0.000.0933642 0.44814815 1.01851852 0.21219136 0.21219136 0.84876543 0 0

0 0.50925926 0.22407407 -0.0466821 0 0 0.42438272 0.2750 0.01992754 0 0.019927540 0

0.06267675 0.30084839 -0.08769756 -0.01827033 -0.01827033 -0.0730813 -0.47954017 -0.119885040 -0.04384878 0.1504242 0.01283057 0 -0.23977008 -0.03654065 0.013900070 -0.04484587 0 -0.04484587

0.01411585 0.06775607 0.0539383 0.01123715 0.01123715 0.04494859 0.04499097 0.011247740.17015679 3.57382975 -0.93240913 0.14638832 0.20515818 0.58086263 -0.04670714 0.15534444

-0.10609568 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.002.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.30

-0.21219136 -1.01851852 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.550.0466821 -0.22407407 -0.50925926 0.10609568 0.10609568 1.1 -0.1867284 0

-4.0225E-18 0.01992754 -4.0225E-18 00.01025762 0.0492366 -0.36571539 0.02566114 0.02566114 -0.30476283 0.11120057 0.02780014

Page 100: Metodo de Cross - Concreto I

-0.00517323 -0.1828577 0.0246183 -0.00913516 0.01249 0.05560029 -0.15238141 -0.05994252-0.00233938 -0.04484587 -0.00233938 -0.044845870.01151295 0.05526217 -0.01617252 -0.00336928 -0.00336928 -0.0134771 0.17062286 0.04265572

-0.15125129 0.97071514 -3.60634369 0.00096985 0.04517398 3.76390357 -1.15728638 0.515667470 0.2037037

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0.00 0.00 0.002.29 2.29166667 0.00 02.29 -2.29 0.00 0.00

0.0933642 0.44814815 1.01851852 0.21219136 0.21219136 0.84876543 0 0-0.10609568 0.50925926 0.22407407 -0.0466821 -0.0466821 0 0.42438272 0.275-4.0225E-18 0.08967391 -4.0225E-18 0.08967391-0.01034646 -0.04966303 -0.09794835 -0.02040591 -0.02040591 -0.08162363 -0.72265611 -0.180664030.00512881 -0.04897418 -0.02483151 0.01249 0.01283057 -0.36132806 -0.04081181 0.00357489

-0.00233938 0.00392342 -0.00233938 0.003923420.00585715 -0.04966303 0.15966887 0.03326435 0.03326435 -0.08162363 0.01450187 0.00362547

-0.01443136 3.10077384 -1.01218507 0.28445504 0.18885889 0.32419013 -0.32458333 0.19513366-0.07777735 -0.21468102

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.30

-0.21219136 -1.01851852 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.550.03623188 -0.22407407 -0.50925926 0.10609568 0.03623188 1.1 -0.1867284 00.00747368 0.08967391 0.00747368 0.089673910.00407523 0.01956111 -0.36898484 0.02498001 0.02498001 -0.30748737 0.02859914 0.00714978

0 -0.18449242 0.00978056 -0.01020295 0 0.01429957 -0.15374368 -0.090332010.00392342 0.00392342

-0.02573384 -0.12352245 -0.00791137 -0.0016482 -0.0016482 -0.00659281 0.16010152 0.04002538-0.19014441 0.76062032 -3.61618973 0.11945767 -0.02632683 3.7267626 -1.25177142 0.60044048

0 0.20370376,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.30

0.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55-0.16666667 -0.22407407 0.22407407 -0.0466821 -0.16666667 1.1 -0.1867284 0.2750.00747368 0.08967391 0.00747368 0.007473680.13886008 0.66652837 -0.5368324 -0.11184008 -0.11184008 -0.44736033 0.00191781 0.00047945

0 -0.2684162 0.33326418 0.01249 0 0.00095891 -0.22368017 0.00357489-0.01580863 -0.01580863

0.02587919 0.12422012 -0.14706865 -0.0306393 -0.0306393 -0.12255721 0.15727593 0.03931898

Page 101: Metodo de Cross - Concreto I

0.09891048 3.03807303 -2.86637761 -0.19617039 -0.39503657 3.45758457 -1.35121481 0.860038380 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 3.30 3.3

8.06857639 -8.06857639 11.61875 -11.61875-0.74709041 -3.58603395 -1.57785494 -0.32871978 -0.32871978 -1.31487912 7.74583333 1.93645833-0.04677436 -0.78892747 -1.79301698 -0.0466821 -0.04677436 3.87291667 -0.65743956 0.275

-0.03561125 0.007473680.07635472 0.36650265 -0.86703644 -0.18063259 -0.18063259 -0.72253037 0.21885585 0.05471396

-0.01407774 -0.43351822 0.18325133 -0.05592004 -0.01407774 0.10942793 -0.36126518 0.00023973-0.01580863 -0.01580863

-0.02066799 -0.09920633 -0.09194349 -0.01915489 -0.01915489 -0.07661957 0.26060788 0.06515197-0.75225577 3.52739307 -12.2151769 -0.68252927 -0.58935936 13.4870655 -4.41215767 2.32322905

0 0B,2 C,3

-0.3735452 -0.16435989-0.04677436 -0.046774360.03817736 -0.09031630.03817736 -0.0903163

-0.01407774 -0.01407774-0.01033399 -0.00957745-0.36837658 -0.41542203

26,22 26,27 27,26 27,23 27,28 28,27-0.186 0.777 -2.286 0.000 -0.040 2.326 -0.508 0.000-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,200.170 3.574 -0.932 0.146 0.205 0.581 -0.047 0.155

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16-0.151 0.971 -3.606 0.001 0.045 3.764 -1.157 0.516-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 102: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.014 3.101 -1.012 0.284 0.189 0.324 -0.325 0.1950.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8-0.190 0.761 -3.616 0.119 -0.026 3.727 -1.252 0.600-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,40.099 3.038 -2.866 -0.196 -0.395 3.458 -1.351 0.860

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.752 3.527 -12.215 -0.683 -0.589 13.487 -4.412 2.323-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

-0.368 -0.415-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 103: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 104: Metodo de Cross - Concreto I

28,24-0.20

0.49800

0.038818030

-0.00237899-0.01839308

0.520.01

24,28-0.17

00

0000

-0.1198850400

0.01124774-0.1086373

020,24

-0.17

0.550

0.019927540.02780014

Page 105: Metodo de Cross - Concreto I

0.00357489-0.002339380.042655720.64161891

016,20

-0.17

00.275

0.01992754-0.180664030.01390007

-0.002339380.003625470.12944967

012,16

-0.17

0.550.0466821

0.007473680.00714978

0

0.040025380.65133094

08,12

-0.17

0.55-0.106095680.007473680.00047945

0

0.03931898

Page 106: Metodo de Cross - Concreto I

0.491176430

4,D-0.17

1.936458330.0466821

0.05471396-0.01407774

0.065151972.08892862

0D,40.96822917

0.04668210.027356980.02735698

-0.014077740.032575991.08812347

28,240.516

24,28-0.109

20,240.642

Page 107: Metodo de Cross - Concreto I

16,200.129

12,160.651

8,120.491

4,D2.089

D41.0880.5090.159-0.03-0.030.179

Page 108: Metodo de Cross - Concreto I

-0.01627.897

Page 109: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 110: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 111: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 112: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 113: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 114: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 115: Metodo de Cross - Concreto I

25,26 0.00 0.83 6 0 2.4926,27 0 0.83 5 0.00 1.7327,28 0.00 0.83 6 0.00 2.49

P.TIPICO AB 0 1.1 6 0.00 3.30BC 0 1.1 5 0.00 2.29CD 0 1.1 6 0.00 3.30

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0 0WL 0.00 2.49 2.49

continuacion M 0.00 2.49 -2.490 m1 -0.498 -1.992 0.31054422-3 0 0.15527211 -0.996-6 h = 3 0-9 m2 -0.03105442 -0.12421769 0.48258226

-12 0 0.24129113 -0.06210884-15 -0.00410715-18 m3 -0.0474368 -0.18974718 0.04177164

0.00 -0.58 0.58 -2.710.00 0

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0.00 0 0M 0.00 0.00 0 0m1 0 0 0 0 0

0 0 0 0 0h = 3 0 0 0

0m2 0 0 0 0 0

0 0 0 0 00 0 0

m3 0 0 0 0 00 0 0 0.00 0 0

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 0.00 0M 0.00 0.00 0m1 0 0 0 0 0

0 0 0 0 0h = 3 0 0 0

m2 0 0 0 0 0

Page 116: Metodo de Cross - Concreto I

0.02291667 0 0 0 0-0.00082052 0 0

m3 -0.00368269 -0.01473076 -0.00368269 0.00110434 0.000276090 0.01841346 -0.01473076 -0.00368269 0.00110434 0.00027609

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 0.00 0M 0 0.00 0m1 0 0 0 0 0

0 -0.275 0 0 0.0466821h = 3 0 0 0

m2 0.04583333 0.18333333 0.04583333 -0.01728967 -0.004322420 -0.01962055 -0.00864483 0.02291667 0.05904425

-0.00082052 -0.01174167 -0.01174167m3 0.0068046 0.02721838 0.0068046 -0.02954538 -0.00738635

0 0.05181741 -0.0958105 0.0439931 -0.02391838 0.082275920

0.00 9,5 9,13 9,10 10,9 10,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.3m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

0.03623188 0 0.187 -1.1 0h = 3 0.01248631 0 0.01248631

m2 -0.0392411 -0.0392411 -0.157 0.47235403 0.118088510.09166667 0.236 -0.0784822 -0.00216121

-0.00468871 -0.01174167 -0.01174167m3 -0.05190222 -0.05190222 -0.208 0.14720371 0.03680093

0.00 -0.60 -0.56 1.16 -3.48546767 0.246837070E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0.00 0.00m1 0 0 0.000 0 0

-0.16666667 -0.275 0.000 0 0.0466821h = 3 0.01248631 -0.00461286 -0.00461286

m2 0.07229887 0.07229887 0.289 0.04152263 0.01038066-0.01962055 0.021 0.14459774 0.05904425-0.00539221 -0.00539221

m3 0.00070857 0.00070857 0.003 -0.09033739 -0.02258435

Page 117: Metodo de Cross - Concreto I

0.00 -0.08 -0.23 0.31 0.09578298 0.08351760E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 9.9 -9.9m1 -1.65 -1.65 -6.600 0.67830504 0.16957626

-0.00691928 0 0.339 -3.3 0h = 3 -0.00461286 -0.00461286

m2 -0.0546034 -0.0546034 -0.218 1.51868874 0.37967219-0.00202944 0.03614943 0.759 -0.10920679 0.00519033

-0.00539221 -0.00539221m3 -0.13134536 -0.13134536 -0.525 0.39257935 0.09814484

0.00 -1.84 -1.81 3.65 -10.7196337 0.642578550E+00

A,1-0.825

h = 3 -0.00691928-0.0273017-0.0273017

-0.00202944-0.06567268

-0.9542248

25,21 25,26 26,250.000 -0.581 0.000 0.581 -2.713 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 0.000 0.000 0.000 0.000 0.000

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 0.018 -0.015 -0.004 0.001 0.000

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 118: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 0.052 -0.096 0.044 -0.024 0.082

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 -0.597 -0.561 1.158 -3.485 0.247

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 -0.081 -0.232 0.313 0.096 0.084

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 -1.845 -1.810 3.655 -10.720 0.643

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,1-0.954

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 119: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 120: Metodo de Cross - Concreto I

AZOTEA

Page 121: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 2.49 2.49 1.72916667

PISO TIPICOCM 0 0 0CV 3.3 3.3 2.29166667

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0 01.73 1.72916667 2.49 2.49

1.729 -1.729 2.490 -2.4900.07763605 0.37265306 -0.37265306 -0.07763605 -0.31054422 1.992

0 -0.18632653 0.18632653 0 -0.03881803 -0.155272110 0

0.12064556 0.57909871 -0.07224906 -0.01505189 -0.06020755 0.124217690 -0.03612453 0.28954935 0 -0.00752594 -0.03010378

-0.00410715 -0.004107150.01044291 0.05012597 -0.13612225 -0.0283588 -0.11343521 0.02736874

0.20 2.51 -1.83 -0.13 1.96 -0.530 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 0.00 0.00 0 0 0.00 0.00 0

0.00 0.00 0.00 0.000 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 00 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

0 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.000.00 0 0.00 00.00 0.00 0.00 0.00

0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 00 0 0 0 0 0 0 0

Page 122: Metodo de Cross - Concreto I

-0.00216121 0 0 0 -0.01262927 0 0 0-0.00082052 0 -0.00082052 00.00027609 0.00132521 0.00597769 0.00124535 0.00124535 0.0049814 -0.0091331 -0.00228328

-0.00270564 0.00132521 0.00597769 0.00124535 -0.01220444 0.0049814 -0.0091331 -0.002283280 0

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0.00 0.00 0.000.00 0 0.00 00.00 0.00 0.00 0.00

0 0 0 0 0 0 0 00 0 0 -0.0466821 0 0 0 0.2750 0 0 0

-0.00432242 -0.0207476 0.0207476 0.00432242 0.00432242 0.01728967 -0.18333333 -0.045833330 0.0103738 -0.0103738 -0.01262927 0 -0.09166667 0.00864483 0.01452017

-0.00082052 -0.01174167 -0.00082052 -0.01174167-0.00738635 -0.0207476 0.05654752 0.01178073 0.01178073 0.01728967 -0.00706854 -0.00176714-0.01252928 -0.0311214 0.06692132 -0.05494989 0.01528263 -0.05708733 -0.18175704 0.23017803

0.01470686 -0.0298332710,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.3

0.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.550.03623188 -0.22407407 0.22407407 0 0.03623188 1.1 -0.1867284 0

0 0.01248631 0 0.012486310.11808851 0.56682483 -0.6101299 -0.02525854 -0.02525854 -0.50844158 0.11616139 0.02904035

0 -0.30506495 0.28341242 0.00216121 0 0.05808069 -0.25422079 -0.02291667-0.01174167 -0.01174167

0.03680093 0.17664446 -0.14751673 -0.03073265 -0.03073265 -0.12293061 0.19258609 0.048146520.28448552 2.95414508 -2.98997495 -0.14644954 -0.11312351 3.45325171 -1.23220171 0.60501484

0 0.20370376,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 00.00 0 0.00 00.00 0 0.00 0

0 0 0 0 0 0 0 0-0.16666667 0 0 -0.0466821 -0.16666667 0 0 0.2750.01248631 -0.00461286 0.01248631 -0.004612860.01038066 0.04982716 0.09132236 0.01902549 0.01902549 0.07610197 -0.2197037 -0.05492593

0 0.04566118 0.02491358 -0.01262927 0 -0.10985185 0.03805098 0.01452017-0.00539221 -0.00539221

-0.02258435 -0.10840487 0.04575989 0.00953331 0.00953331 0.03813324 -0.03145263 -0.00786316

Page 123: Metodo de Cross - Concreto I

-0.16638404 -0.01291653 0.16199583 -0.04075764 -0.12562155 0.00438336 -0.21310535 0.216726020 -5.5511E-17

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 02.29 2.29166667 3.30 3.3

8.06857639 -8.06857639 11.61875 -11.618750.16957626 0.81396605 -1.57785494 -0.32871978 -0.32871978 -1.31487912 7.74583333 1.93645833

-0.00691928 -0.78892747 0.40698302 0 -0.00691928 3.87291667 -0.65743956 0-0.00461286 0.01248631

0.37967219 1.82242649 -1.89705225 -0.39521922 -0.39521922 -1.58087687 0.42996883 0.10749221-0.00202944 -0.94852612 0.91121325 0.00951275 -0.00202944 0.21498441 -0.79043844 -0.02746296

-0.00539221 -0.005392210.09814484 0.47109522 -0.50146167 -0.10447118 -0.10447118 -0.41788472 0.55021537 0.137553840.63844456 9.43861056 -10.726749 -0.8289025 -0.83735891 12.3930104 -4.34061046 2.16113552

0 0B,2 C,30.08478813 -0.16435989

-0.00691928 -0.006919280.18983609 -0.197609610.18983609 -0.19760961

-0.00202944 -0.002029440.04907242 -0.052235590.50458401 -0.62076343

26,22 26,27 27,26 27,23 27,28 28,270.205 2.509 -1.834 0.000 -0.125 1.959 -0.532 0.000

-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,200.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16-0.003 0.001 0.006 0.001 -0.012 0.005 -0.009 -0.002-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 124: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12-0.013 -0.031 0.067 -0.055 0.015 -0.057 -0.182 0.2300.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,80.284 2.954 -2.990 -0.146 -0.113 3.453 -1.232 0.605

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4-0.166 -0.013 0.162 -0.041 -0.126 0.004 -0.213 0.217-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,80.638 9.439 -10.727 -0.829 -0.837 12.393 -4.341 2.161

-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

0.505 -0.621-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 125: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 126: Metodo de Cross - Concreto I

28,24-0.20

0.49800

0.038818030

-0.004107150.00684218

0.540.01

24,28-0.17

00

0000000000

20,24-0.17

0000

Page 127: Metodo de Cross - Concreto I

0.01452017-0.00082052-0.002283280.01141638

016,20

-0.17

000

-0.045833330

-0.00082052-0.00176714-0.04842099

012,16

-0.17

0.5500

0.029040350

0.048146520.62718687

08,12

-0.17

00.0466821

0.01248631-0.05492593

0

-0.00786316

Page 128: Metodo de Cross - Concreto I

-0.00362067-2.4286E-17

4,D-0.17

1.936458330

0.10749221-0.00202944

0.137553842.17947494

0D,40.96822917

00.05374610.0537461

-0.002029440.068776921.14246885

28,240.540

24,280.000

20,240.011

Page 129: Metodo de Cross - Concreto I

16,20-0.048

12,160.627

8,12-0.004

4,D2.179

D41.1420.5090.159-0.03-0.030.179

Page 130: Metodo de Cross - Concreto I

-0.01627.897

Page 131: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 132: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 133: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 134: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 135: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 136: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 137: Metodo de Cross - Concreto I

25,26 0.00 0.83 6 0 2.4926,27 0 0.83 5 0.00 1.7327,28 0.00 0.83 6 0.00 2.49

P.TIPICO AB 0 1.1 6 0.00 3.30BC 0 1.1 5 0.00 2.29CD 0 1.1 6 0.00 3.30

F 0.000 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0WL 0.00 0 0

continuacion M 0.00 0 00 m1 0 0 0-3 0 0 0-6 h = 3 0-9 m2 0 0 0

-12 0 0 0-15 0.00018719-18 m3 -3.7438E-05 -0.00014975 -7.6403E-05

0.00 0.00 0.00 0.000.00 0

0.00 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0 3.30 3.3 0M 0.00 3.30 -3.3 0m1 -0.55 -0.55 -2.2 0.37345679 0.0933642

0 0 0.1867284 -1.1 0h = 3 0 0.00996377 0.00996377

0m2 -0.03278203 -0.03278203 -0.13112811 0.48670752 0.12167688

0 0.18001208 0.24335376 -0.06556405 -0.00478370 -0.02182326 -0.02182326

m3 -0.06692376 -0.06692376 -0.26769505 0.14393477 0.035983690 -0.64970579 -0.48155321 1.13 -3.46146498 0.23438157

00.00 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 0.00 0M 0.00 0.00 0m1 0 0 0 0 0

-0.275 -0.275 0 0 0.0466821h = 3 0 0.00996377 0.00996377

m2 0.09000604 0.36002415 0.09000604 -0.03826962 -0.0095674

Page 138: Metodo de Cross - Concreto I

-0.02303353 -0.01639101 -0.01913481 0.04500302 0.060838440.00637473 -0.02182326 -0.02182326

m3 0.01233465 0.04933859 0.01233465 -0.04736299 -0.011840750 -0.18931811 0.10611223 0.08320588 -0.04062958 0.07425289

00.00 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 3.30 3.3M 0 3.30 -3.3m1 -0.55 -2.2 -0.55 0.37345679 0.0933642

0 0 0.1867284 -0.275 0h = 3 0 0.08967391 0.08967391

m2 -0.04606705 -0.18426821 -0.04606705 0.15162969 0.037907420.04500302 0.08013399 0.07581484 -0.02303353 -0.008568250.00637473 0.00850509 0.00850509

m3 -0.03597195 -0.14388778 -0.03597195 0.12432292 0.031080730 -0.58066125 -2.349843 2.93050424 -2.94862413 0.2519631

00.00 9,5 9,13 9,10 10,9 10,6

ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0.00 0m1 0 0 0.000 0 0

0.03623188 -1.1 0.000 0 0.0466821h = 3 0.01248631 0.08967391 0.08967391

m2 0.16026798 0.16026798 0.641 -0.068546 -0.0171365-0.0921341 -0.034 0.32053596 0.01895371

-0.00353187 0.00850509 0.00850509m3 0.02023898 0.02023898 0.081 -0.1213388 -0.0303347

0.00 0.23 -0.91 0.69 0.13065116 0.116343610E+00

0 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 3.30 3.3M 0 3.30 -3.3m1 -0.55 -0.55 -2.200 0.37345679 0.0933642

-0.16666667 0 0.187 -1.1 0h = 3 0.01248631 0 0.08967391

m2 -0.00542467 -0.00542467 -0.022 0.51428908 0.128572270.08013399 0.257 -0.01084935 -0.00856825

-0.00262169 -0.00262169m3 -0.05577614 -0.05577614 -0.223 0.11183082 0.0279577

Page 139: Metodo de Cross - Concreto I

0.00 -0.77 -0.53 1.30 -3.41127266 0.328378140E+00

0 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0 0m1 0 0 0.000 0 0

0 -0.275 0.000 0 0.0466821h = 3 0 0

m2 0.04583333 0.04583333 0.183 -0.01728967 -0.004322420.00053595 -0.00271234 -0.009 0.09166667 0.06428613

-0.00262169 -0.00262169m3 0.00224049 0.00224049 0.009 -0.06082995 -0.01520749

0.00 0.05 -0.23 0.18 0.01354705 0.088816640E+00

A,10

h = 3 00.022916670.022916670.000535950.001120240.04748952

25,21 25,26 26,250.000 0.000 0.000 0.000 0.000 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 -0.650 -0.482 1.131 -3.461 0.234

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 -0.189 0.106 0.083 -0.041 0.074

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 140: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 -0.581 -2.350 2.931 -2.949 0.252

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 0.226 -0.913 0.688 0.131 0.116

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 -0.765 -0.534 1.299 -3.411 0.328

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 0.049 -0.232 0.184 0.014 0.089

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,10.047

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 141: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 142: Metodo de Cross - Concreto I

AZOTEA

Page 143: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 2.49 2.49 1.72916667

PISO TIPICOCM 0 0 0CV 3.3 3.3 2.29166667

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0 00.00 0 0.00 0

0.000 0.000 0.000 0.0000 0 0 0 0 00 0 0 0 0 00 00 0 0 0 0 00 0 0 0 0 0

0.00018719 0.00018719-1.9101E-05 -9.1684E-05 -9.1684E-05 -1.9101E-05 -7.6403E-05 -0.00014975

0.00 0.00 0.00 0.00 0.00 0.000 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 2.29 2.29 0 0 3.30 3.30 0

2.29 -2.29 3.30 -3.300.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55

0 -0.22407407 0.22407407 0 0 1.1 -0.1867284 00 0.00996377 0 0.009963770 0

0.12167688 0.58404902 -0.59290571 -0.12352202 -0.12352202 -0.49408809 0.11784308 0.029460770 -0.29645285 0.29202451 0.00386113 0 0.05892154 -0.24704404 -0.046663650 -0.02182326 0 -0.02182326

0.03598369 0.17272172 -0.14799285 -0.03083184 -0.03083184 -0.12332738 0.21035397 0.052588490.25102477 2.97605863 -2.96461479 -0.25571643 -0.24771806 3.46804928 -1.20557538 0.57352612

0 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.000.00 0 0.00 00.00 0.00 0.00 0.00

0 0 0 0 0 0 0 00.0466821 0 0 -0.0466821 -0.0466821 0 0 0.275

0 0.00996377 0 0-0.0095674 -0.04592354 0.03706686 0.00772226 0.00772226 0.03088905 -0.37330918 -0.09332729

Page 144: Metodo de Cross - Concreto I

0.01895371 0.01853343 -0.02296177 -0.06176101 -0.00424583 -0.18665459 0.01544452 0.014730390.00637473 -0.02182326 0.00637473 -0.02182326

-0.01184075 -0.05683558 0.12936522 0.02695109 0.02695109 0.10780435 0.01372921 0.00343230.05060239 -0.0842257 0.1434703 -0.08562926 -0.00987985 -0.04796119 -0.34413544 0.17801213

0 5.55112E-1714,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.002.29 2.29166667 3.30 3.32.29 -2.29 3.30 -3.30

0.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.550 -0.22407407 0.22407407 0 0 1.1 -0.1867284 00 0.08967391 0 0.08967391

0.03790742 0.18195563 -0.62833244 -0.13090259 -0.13090259 -0.52361037 0.05806048 0.01451512-0.0047837 -0.31416622 0.09097781 -0.00424583 0.00386113 0.02903024 -0.26180518 -0.035320190.00637473 0.00850509 0.00637473 0.008505090.03108073 0.18195563 -0.05977918 -0.012454 -0.012454 -0.52361037 0.2192728 0.05481820.16394338 2.56548578 -3.11287455 -0.14278762 -0.22648493 3.00835272 -1.2712003 0.68219213

0.03276812 -0.4737943810,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 00.00 0 0.00 00.00 0 0.00 0

0 0 0 0 0 0 0 00.03623188 0 0 -0.0466821 0.03623188 0 0 0.2750.01248631 0.08967391 0.01248631 0.08967391-0.0171365 -0.0822552 -0.04076001 -0.00849167 -0.00849167 -0.03396667 -0.28256155 -0.07064039

0 -0.02038 -0.0411276 -0.0654513 0 -0.14128078 -0.01698334 0.007257560.00850509 0.00850509

-0.0303347 -0.14560656 0.10637982 0.02216246 0.02216246 0.08864985 0.00081379 0.000203450.001247 -0.24824177 0.02449221 -0.0002836 0.06238899 -0.0865976 -0.29873109 0.30999962

0 06,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 02.29 2.29166667 3.30 3.32.29 -2.29166667 3.30 -3.3

0.0933642 0.44814815 -0.44814815 -0.0933642 -0.0933642 -0.37345679 2.2 0.55-0.16666667 -0.22407407 0.22407407 0 -0.16666667 1.1 -0.1867284 00.01248631 0.08967391 0.01248631 0.012486310.12857227 0.6171469 -0.55980784 -0.11662663 -0.11662663 -0.46650653 0.10783718 0.02695929

0 -0.27990392 0.30857345 -0.00424583 0 0.05391859 -0.23325327 -0.03532019-0.00262169 -0.00262169

0.0279577 0.13419698 -0.15805534 -0.0329282 -0.0329282 -0.13171278 0.18079677 0.04519919

Page 145: Metodo de Cross - Concreto I

0.09571382 2.9871807 -2.92503047 -0.16011264 -0.39709938 3.48224249 -1.23134771 0.596702910 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0 0.140.00 0 0.00 00.00 0 0.00 0

0 0 0 00 0 0 0 0 0 0 00 0 0 -0.0466821 0 0 0 0.275

0 0.01248631-0.00432242 -0.0207476 0.0207476 0.00432242 0.00432242 0.01728967 -0.22277894 -0.055694740.00053595 0.0103738 -0.0103738 -0.05831332 0.00053595 -0.11138947 0.00864483 0.01347965

-0.00262169 -0.00262169-0.01520749 -0.07299594 0.08096104 0.01686688 0.01686688 0.06746753 -0.01335916 -0.00333979-0.01899396 -0.08336974 0.09133484 -0.08642781 0.02172525 -0.02663227 -0.22749326 0.23930974

0 0B,2 C,3

0 00 0

-0.00216121 0.00216121-0.00216121 0.002161210.00053595 0.00053595

-0.00760374 0.00843344-0.01139021 0.0132918

26,22 26,27 27,26 27,23 27,28 28,270.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,200.251 2.976 -2.965 -0.256 -0.248 3.468 -1.206 0.574

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,160.051 -0.084 0.143 -0.086 -0.010 -0.048 -0.344 0.178

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 146: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,120.164 2.565 -3.113 -0.143 -0.226 3.008 -1.271 0.6820.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,80.001 -0.248 0.024 0.000 0.062 -0.087 -0.299 0.310

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,40.096 2.987 -2.925 -0.160 -0.397 3.482 -1.231 0.597

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.019 -0.083 0.091 -0.086 0.022 -0.027 -0.227 0.239-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C3

-0.011 0.013-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 147: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 148: Metodo de Cross - Concreto I

28,24-0.20

00000

0.00018719-3.7438E-05

0.000.00

24,28-0.17

00

0.55000

0.0294607700

0.052588490.63204926

020,24

-0.17

00.275

0.00996377-0.09332729

Page 149: Metodo de Cross - Concreto I

-0.035320190.00637473

0.00343230.16612331

016,20

-0.17

0.550

0.009963770.01451512

-0.046663650.00637473

0.05481820.58900817

012,16

-0.17

00.0466821

0.01248631-0.07064039

0

0.00020345-0.011268535.89806E-178,12

-0.17

0.550

0.012486310.02695929

0

0.04519919

Page 150: Metodo de Cross - Concreto I

0.63464480

4,D-0.17

00.0466821

-0.055694740.00053595

-0.00333979-0.01181648-2.2551E-17

D,40

0.0466821-0.02784737-0.027847370.00053595

-0.00166989-0.01014659

28,240.000

24,280.632

20,240.166

Page 151: Metodo de Cross - Concreto I

16,200.589

12,16-0.011

8,120.635

4,D-0.012

D4-0.0100.5090.159-0.03-0.030.179

Page 152: Metodo de Cross - Concreto I

-0.01627.897

Page 153: Metodo de Cross - Concreto I

CALCULO POR METODO DE CROSS (PORTICOS 2 Y 3)seccIones losa aligerada t = 20 cm M. de Inercia

Page 154: Metodo de Cross - Concreto I

Viga principal h = 0.60 bh^3/12b = 0.30 0.0054

Viga secundaria h = 0.40 0.0013b = 0.25

Columnas Exterior 0.30 0.30 0.0088Interior 0.30 0.30 0.0007

CARGAS ; Kg/ml Tn/ml AZOTEA CARGA MUERTA Wda = 3625.00 3.63

CARGA VIVA Wla = 830.00 0.83PISO TIPICO CARGA MUERTA Wda = 4460.00 4.46

CARGA VIVA Wla = 1100.00 1.1CARGA SISMICA NIVEL F continuacion

7 25.49 25.49 06 29.70 29.70 -15 28.60 28.60 -24 32.44 32.44 -33 29.03 29.03 -42 24.2 24.2 -51 18 18 -6

CALCULO DE LA REGIDECESNUDO BARRA L k ρ Kc α

25 25,21 3 0.2250 -0.20 0.2250 0.0425,26 6 0.9000 -0.80

0 0.0000 0.001.1250 -1

26 26,25 6 0.9000 -0.4082 0.9000 0.1426,22 3 0.2250 -0.102026,27 5 1.0800 -0.4898

0 0.0000 0.002.2050 -1.00

27 27,26 5 1.0800 -0.4898 1.0800 0.1727,23 3 0.2250 -0.102027,28 6 0.9000 -0.4082

2.2050 -1.0028 28,27 6 0.9000 -0.8 0.9000 0.14

28,24 3 0.2250 -0.21.1250 -1.00 3.1050

21 21,17 3 0.2250 -0.16666667 0.2250 0.0421,22 6 0.9000 -0.6666666721,25 3 0.2250 -0.16666667

1.3500 -122 22,21 6 0.9000 -0.37037037 0.9000 0.14

22,18 3 0.2250 -0.0925925922,26 3 0.2250 -0.0925925922,23 5 1.0800 -0.44444444

2.4300 -123 23,22 5 1.0800 -0.44444444 1.0800 0.17

23,19 3 0.2250 -0.09259259

Page 155: Metodo de Cross - Concreto I

23,27 3 0.2250 -0.0925925923,24 6 0.9000 -0.37037037

2.4300 -124 24,23 6 0.9000 -0.66666667 0.9000 0.14

24,20 3 0.2250 -0.1666666724,28 3 0.2250 -0.16666667

1.3500 -1 3.105017 17,13 3 0.2250 -0.16666667 0.2250 0.04

17,21 6 0.9000 -0.6666666717,18 3 0.2250 -0.16666667

1.3500 -118 18,17 6 0.9000 -0.37037037 0.9000 0.42

18,14 3 0.2250 -0.0925925918,22 3 0.2250 -0.0925925918,19 5 1.0800 -0.44444444

2.4300 -119 19,18 5 1.0800 -0.44444444 1.0800 0.17

19,15 3 0.2250 -0.0925925919,23 3 0.2250 -0.0925925919,20 6 0.9000 -0.37037037

2.4300 -120 20,19 6 0.9000 -0.66666667 0.9000 0.14

20,16 3 0.2250 -0.1666666720,24 3 0.2250 -0.16666667

1.3500 -1 3.105013 13,9 3 0.2250 -0.16666667 0.2250 0.04

13,17 6 0.9000 -0.6666666713,14 3 0.2250 -0.16666667

1.3500 -114 14,13 6 0.9000 -0.37037037 0.9000 0.14

14,10 3 0.2250 -0.0925925914,18 3 0.2250 -0.0925925914,15 5 1.0800 -0.44444444

2.4300 -115 15,14 5 1.0800 -0.44444444 1.0800 0.17

15,11 3 0.2250 -0.0925925915,19 3 0.2250 -0.0925925915,16 6 0.9000 -0.37037037

2.4300 -116 16,15 6 0.9000 -0.66666667 0.9000 0.14

16,12 3 0.2250 -0.1666666716,20 3 0.2250 -0.16666667

1.3500 -1 3.10509 9,5 3 0.2250 -0.16666667 0.2250 0.04

9,13 3 0.2250 -0.166666679,10 6 0.9000 -0.66666667

1.3500 -110 10,9 6 0.9000 -0.37037037 0.9000 0.14

Page 156: Metodo de Cross - Concreto I

10,6 3 0.2250 -0.0925925910,14 3 0.2250 -0.0925925910,11 5 1.0800 -0.44444444

2.4300 -111 11,10 5 1.0800 -0.44444444 1.0800 0.17

11,7 3 0.2250 -0.0925925911,15 3 0.2250 -0.0925925911,12 6 0.9000 -0.37037037

2.4300 -112 12,11 6 0.9000 -0.66666667 0.9000 0.14

12,8 3 0.2250 -0.1666666712,16 3 0.2250 -0.16666667

1.3500 -1 3.10505 5,1 3 0.2250 -0.16666667 0.2250 0.04

5,9 3 0.2250 -0.166666675,6 6 0.9000 -0.66666667

1.3500 -16 6,5 6 0.9000 -0.37037037 0.9000 0.14

6,2 3 0.2250 -0.092592596,10 3 0.2250 -0.092592596,7 5 1.0800 -0.44444444

2.4300 -17 7,6 5 1.0800 -0.44444444 1.0800 0.17

7,3 3 0.2250 -0.092592597,11 3 0.2250 -0.092592597,8 6 0.9000 -0.37037037

2.4300 -18 8,7 6 0.9000 -0.66666667 0.9000 0.14

8,4 3 0.2250 -0.166666678,12 3 0.2250 -0.16666667

1.3500 -1 3.10501 1,A 3 0.2250 -0.16666667 0.2250 0.04

1,5 3 0.2250 -0.166666671,2 6 0.9000 -0.66666667

1.3500 -12 2,1 6 0.9000 -0.37037037 0.9000 0.14

2,B 3 0.2250 -0.092592592,6 3 0.2250 -0.092592592,3 5 1.0800 -0.44444444

2.4300 -13 3,2 5 1.0800 -0.44444444 1.0800 0.17

3,C 3 0.2250 -0.092592593,7 3 0.2250 -0.092592593,4 6 0.9000 -0.37037037

2.4300 -14 4,3 6 0.9000 -0.66666667 0.9000 0.14

4,D 3 0.2250 -0.166666674,8 3 0.2250 -0.16666667

Page 157: Metodo de Cross - Concreto I

1.3500 -1 3.1050

Page 158: Metodo de Cross - Concreto I

CALCULO DE MOMENTOSAZOTEA VIGA WD WL L MD ML

Page 159: Metodo de Cross - Concreto I

25,26 0.00 0 6 0 026,27 0 0 5 0.00 0.0027,28 0.00 0 6 0.00 0.00

P.TIPICO AB 0 0 6 0.00 0.00BC 0 0 5 0.00 0.00CD 0 0 6 0.00 0.00

F 139.103 volado 25,21 25,26 26,25ρ 0.00 -0.20 -0.80 -0.41α 0.00 0.04 0.14WD 0.00 0 0WL 0.00 0 0

continuacion M 0.00 0 00 m1 0 0 0-3 0 0 0-6 h = 3 15.1199361-9 m2 -3.02398722 -12.0959489 -6.17140248

-12 3.77998402 -3.08570124 -6.04797443-15 -0.82686313-18 m3 0.02651607 0.10606428 2.7745694

0.00 15.08 -15.08 -9.440.00 0

31.67 21,25 21,17 21,22 22,21 22,18ρ -0.17 -0.16666667 -0.66666667 -0.37 -0.09α 0.04 0.04 0.14WD 0.00 0 0 0.00 0 0WL 0.00 0 0.00 0 0M 0.00 0.00 0 0m1 0 0 0 0 0

0 0 0 0 0h = 3 0 18.561972 18.561972

0m2 -3.09366201 -3.09366201 -12.374648 -6.87480446 -1.71870111

7.55996804 -8.39305155 -3.43740223 -6.18732401 -1.16570163.77998402 2.04892522 2.04892522

m3 -0.25973725 -0.25973725 -1.03894901 -0.70776629 -0.176941570 7.9865528 8.86444645 -16.85 -13.7698948 17.549553

029.21 17,13 17,21 17,18 18,17 18,14

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 -0.37037037WD 0.00 0.00 0WL 0.00 0.00 0M 0.00 0.00 0m1 0 0 0 0 0

0 0 0 0 0h = 3 6.61718261 18.561972 18.561972

m2 -4.19652577 -16.7861031 -4.19652577 -9.32561283 -2.33140321

Page 160: Metodo de Cross - Concreto I

-1.33499008 -1.546831 -4.66280641 -2.09826289 -0.859350561.1970884 2.04892522 2.04892522

m3 0.71643565 2.86574258 0.71643565 2.24023284 0.560058210 2.9991908 5.14370574 -8.14289654 -9.18364288 17.9802017

025.63 13,9 13,17 13,14 14,13 14,10

ρ -0.16666667 -0.66666667 -0.16666667 -0.37 -0.09α 0.04 0.14WD 0 0 0.00 0WL 0 0.00 0M 0 0.00 0m1 0 0 0 0 0

0 0 0 0 0h = 3 6.61718261 9.40269837 9.40269837

m2 -2.66998016 -10.6799207 -2.66998016 -5.93328925 -1.48332231-2.09826289 -1.76085873 -2.96664463 -1.33499008 -0.97825485

1.1970884 1.37828156 1.37828156m3 0.70839938 2.83359752 0.70839938 1.65316671 0.41329168

0 3.75442734 1.17379807 -4.92822541 -5.61511262 8.732694450

20.91 9,5 9,13 9,10 10,9 10,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0 0m1 0 0 0.000 0 0

0.03623188 0 0.000 0 0h = 3 11.6913745 9.40269837 9.40269837

m2 -3.52171746 -3.52171746 -14.087 -7.82603879 -1.9565097-5.33996033 -3.913 -7.04343491 -0.74166116

0.82855154 1.37828156 1.37828156m3 1.17435777 1.17435777 4.697 4.11201399 1.0280035

0.00 10.21 3.09 -13.30 -10.7574597 9.110812570E+00

15.3605592 5,1 5,9 5,6 6,5 6,2ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0 0m1 0 0 0.000 0 0

-0.16666667 0 0.000 0 0h = 3 11.6913745 13.34551 9.40269837

m2 -4.14503631 -4.14503631 -16.580 -7.75089118 -1.93772279-1.76085873 -3.875 -8.29007261 -0.978254851.14829324 1.14829324

m3 0.74800185 0.74800185 2.992 4.72984034 1.18246009

Page 161: Metodo de Cross - Concreto I

0.00 8.13 9.34 -17.46 -11.3111234 8.817474050E+00

8.10006543 1,A 1,5 1,2 2,1 2,6ρ -0.17 -0.17 -0.67 -0.37 -0.09α 0.04 0.14WD 0 0.00 0WL 0.00 0.00 0M 0 0 0m1 0 0 0.000 0 0

4.82325355 0 0.000 0 0h = 3 13.34551 13.34551

m2 -3.02812726 -3.02812726 -12.113 -6.72917169 -1.682292920.45333019 -2.07251815 -3.365 -6.05625453 -0.9688614

1.14829324 1.14829324m3 0.63924676 0.63924676 2.557 3.50407241 0.8760181

0.00 2.89 10.03 -12.92 -9.28135381 12.7186670E+00

A,10

h = 3 4.82325355-1.51406363-1.514063630.453330190.319623382.56807986

25,21 25,26 26,250.000 15.076 0.000 -15.076 -9.445 0.000

CM 0.000 -2.919 5.63 -8.251H-1 0.000 -0.827 1.59 -2.305H-2 0.000 0.695 0.06 -0.689H-3 0.000 -0.984 1.74 -1.491H-4 0.000 -0.725 1.48 -2.389H-5 0.000 -0.103 0.10 0.084SISMO 0.000 -2.594 -2.59 -2.352

0.000 21,25 21,17 21,22 22,21 22,180.000 7.987 8.864 -16.851 -13.770 17.550

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 3.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 0.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 17,13 17,21 17,18 18,17 18,140.000 2.999 5.144 -8.143 -9.184 17.980

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269

Page 162: Metodo de Cross - Concreto I

H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 13,9 13,17 13,14 14,13 14,103.000 3.754 1.174 -4.928 -5.615 8.733

CM 0.000 0.646 -5.709 10.403 -6.817 -4.062H-1 0.000 0.334 -1.602 3.393 -2.079 -1.395H-2 0.000 0.905 -1.093 0.188 -0.852 0.386H-3 0.000 0.874 -1.073 0.199 -0.883 0.324H-4 0.000 0.654 -1.411 0.757 0.643 -0.839H-5 0.000 0.083 0.004 0.925 -1.361 -0.886SISMO 0.000 2.084 9.449 -11.532 -10.48 14.714

0.000 9,5 9,13 9,10 10,9 10,60.000 10.209 3.094 -13.302 -10.757 9.111

CM 0.000 10.13 -2.531 7.88 -8.912 -1.373H-1 0.000 -0.639 -0.825 2.48 -2.814 -0.438H-2 0.000 -0.324 -1.204 2.54 -2.315 2.02H-3 0.000 0.045 0.072 0.01 -0.729 -0.613H-4 0.000 -0.07 -0.098 0.17 0.135 -0.147H-5 3.000 -0.561 -0.74 2.31 -2.958 -0.256SISMO 0.000 -1.364 4.455 -3.09 -7.309 8.784

0.000 5,1 5,9 5,6 6,5 6,20.000 8.128 9.336 -17.464 -11.311 8.817

CM 0.000 -1.935 -2.715 7.86 -8.713 -0.884H-1 0.000 -0.592 -0.877 2.48 -2.739 -2.269H-2 0.000 -0.379 -1.194 2.59 -2.216 1.682H-3 0.000 -0.63 -0.892 2.53 -2.024 0.874H-4 0.000 -0.521 -0.732 2.27 -2.926 -0.221H-5 0.000 0.085 -0.253 0.17 0.207 0.05SISMO 0.000 6.368 2.004 -8373.00 -7.604 5.508

0.000 1,A 1,5 1,2 2,1 2,60.000 2.888 10.032 -12.920 -9.281 12.719

CM 0.000 -0.611 -12.773 19.39 -30.335 -7.893H-1 0.000 -0.179 -3.737 6.306 -9.453 -2.617H-2 3.000 -0.257 -4.995 6.391 -6.963 4.692H-3 0.000 -0.257 -4.995 6.391 -6.963 4.692H-4 0.000 -0.226 -4.278 4.643 -9.84 -2.176H-5 0.000 0.002 -0.087 0.084 0.171 -0.253SISMO 0.000 27.486 -2.847 -24.847 -19.311 8.441

A,12.568

CM -0.288H-1 -0.086H-2 -0.134H-3 -0.134H-4 -0.111

Page 163: Metodo de Cross - Concreto I

H-5 0.003SISMO 27.775

Page 164: Metodo de Cross - Concreto I

AZOTEA

Page 165: Metodo de Cross - Concreto I

3ºtramo 1º tramo 2º tramoCM 0 0 0CV 0 0 0

PISO TIPICOCM 0 0 0CV 0 0 0

26,22 26,27 27,26 27,23 27,28 28,27-0.10 -0.49 -0.49 -0.10 -0.41 -0.80

0.17 0.140.00 0 0 00.00 0 0 0

0.000 0.000 0.000 0.0000 0 0 0 0 00 0 0 0 0 0

15.1199361 15.1199361-1.54285062 -7.40568298 -7.40568298 -1.54285062 -6.17140248 -12.09594893.77998402 -3.70284149 -3.70284149 3.77998402 -0.77142531 -3.08570124

-0.82686313 -0.826863130.69364235 3.32948328 0.74505106 0.15521897 0.62087588 0.10606428

17.22 -7.78 -10.36 16.69 -6.32 -15.080 0.00

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140 0.00 0.00 0 0 0.00 0.00 00 0.00 0.00 0 0 0.00 0.00 0

0.00 0.00 0.00 0.000 0 0 0 0 0 0 00 0 0 0 0 0 0 00 18.561972 0 18.5619720 0

-1.71870111 -8.24976535 -8.24976535 -1.71870111 -1.71870111 -6.87480446 -12.374648 -3.093662017.55996804 -4.12488267 -4.12488267 -1.1657016 7.55996804 -6.18732401 -3.43740223 -1.5468313.77998402 2.04892522 3.77998402 2.04892522

-0.17694157 -0.84931955 -0.84931955 -0.17694157 -0.17694157 -0.70776629 -5.60309603 -1.400774019.44430937 -13.2239676 -13.2239676 17.549553 9.44430937 -13.7698948 -21.4151463 14.5696302

0 018,22 18,19 19,18 19,15 19,23 19,20 20,19 20,16

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.000.00 0 0.00 00.00 0.00 0.00 0.00

0 0 0 0 0 0 0 00 0 0 0 0 0 0 0

6.61718261 18.561972 6.61718261 0-2.33140321 -11.1907354 -11.1907354 -2.33140321 -2.33140321 -9.32561283 -12.374648 -3.09366201

Page 166: Metodo de Cross - Concreto I

-0.74166116 -5.5953677 -5.5953677 -0.85935056 -0.97825485 -6.18732401 -4.66280641 -1.5468311.1970884 2.04892522 1.1970884 2.04892522

0.56005821 2.68827941 4.61079266 0.9605818 0.9605818 3.84232722 3.14764213 0.786910535.30126486 -14.0978237 -12.1753104 18.3807253 5.46519476 -11.6706096 -13.8898123 -1.80465725

0 014,18 14,15 15,14 15,11 15,19 15,16 16,15 16,12

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0.00 0.00 0.000.00 0 0.00 00.00 0.00 0.00 0.00

0 0 0 0 0 0 0 00 0 0 0 0 0 0 0

6.61718261 9.40269837 6.61718261 9.40269837-1.48332231 -7.1199471 -7.1199471 -1.48332231 -1.48332231 -5.93328925 -18.6431136 -4.6607784

-1.1657016 -3.55997355 -3.55997355 -0.97825485 -1.1657016 -9.3215568 -2.96664463 -1.75783941.1970884 1.37828156 1.1970884 1.37828156

0.41329168 -7.1199471 5.53338526 1.1527886 1.1527886 -5.93328925 2.46396338 0.615990845.57853877 -17.7998678 -5.14653539 9.47219136 6.31803569 -21.1881353 -19.1457948 4.97835297

-9.10374716 -10.544443610,14 10,11 11,10 11,7 11,15 11,12 12,11 12,8

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 00.00 0 0.00 0

0 0 0 00 0 0 0 0 0 0 0

0.03623188 0 0 0 0.03623188 0 0 011.6913745 9.40269837 11.6913745 9.40269837-1.9565097 -9.39124655 -9.39124655 -1.9565097 -1.9565097 -7.82603879 -14.0627152 -3.51567881

0 -4.69562327 -4.69562327 -0.74166116 0 -7.03135762 -3.91301939 -2.33038921.37828156 1.37828156

1.0280035 4.93441679 4.92904911 1.02688523 1.02688523 4.10754092 3.24341802 0.8108545110.7991002 -9.15245303 -9.15782071 9.10969431 10.7979819 -10.7498555 -14.7323166 5.74576643

0 06,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.170.17 0.14

0.00 0 0.00 00.00 0 0.00 0

0 0 0 00 0 0 0 0 0 0 0

-0.16666667 0 0 0 -0.16666667 0 0 011.6913745 9.40269837 11.6913745 11.6913745

-1.93772279 -9.30106941 -9.30106941 -1.93772279 -1.93772279 -7.75089118 -15.5884993 -3.897124820 -4.65053471 -4.65053471 -0.97825485 0 -7.79424965 -3.87544559 -1.7578394

1.14829324 1.148293241.18246009 5.67580841 5.45544265 1.13655055 1.13655055 4.54620221 2.9899945 0.74749863

Page 167: Metodo de Cross - Concreto I

10.7694451 -8.27579571 -8.49616147 8.77156452 10.7235356 -10.9989386 -16.4739504 7.932202110 0

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8-0.09 -0.44 -0.44 -0.09 -0.09 -0.37 -0.67 -0.17

0.17 0.140.00 0 0.00 00.00 0 0.00 0

0 0 0 00 0 0 0 0 0 0 0

4.82325355 0 0 0 4.82325355 0 0 013.34551 11.6913745

-1.68229292 -8.07500603 -8.07500603 -1.68229292 -1.68229292 -6.72917169 -7.79424965 -1.948562410.45333019 -4.03750302 -4.03750302 -0.9688614 0.45333019 -3.89712482 -3.36458585 -1.94856241

1.14829324 1.148293240.8760181 4.20488689 3.24527369 0.67609869 0.67609869 2.70439474 2.47434989 0.61858747

4.47030892 -7.90762216 -8.86723536 12.5187476 4.2703895 -7.92190178 -8.68448561 9.561130360 0

B,2 C,30 0

4.82325355 4.82325355-0.84114646 -0.84114646-0.84114646 -0.841146460.45333019 0.453330190.43800905 0.338049344.03229987 3.93234016

26,22 26,27 27,26 27,23 27,28 28,2717.224 -7.779 -10.363 0.000 16.685 -6.322 -15.076 0.000-8.816 -9.067 -6.388 8.472-0.229 2.534 -1.81 1.553-1.256 1.945 -0.855 1.5980.903 0.588 -0.022 0.022

-0.222 2.611 -1.597 1.341-0.007 -0.076 -0.213 0.2134.625 -2.272 -2.616 2.616

22,26 22,23 23,22 23,19 23,27 23,24 24,23 24,209.444 -13.224 -13.224 17.550 9.444 -13.770 -21.415 14.570

-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,165.301 -14.098 -12.175 18.381 5.465 -11.671 -13.890 -1.805

-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.21

Page 168: Metodo de Cross - Concreto I

0.021 0.513 0.174 -0.428 0.2540.49 0.66 0.065 0.069 -0.133

-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,125.579 -17.800 -5.147 9.472 6.318 -21.188 -19.146 4.9780.028 11.422 -9.557 9.541 0.0160.005 3.653 -2.964 2.941 0.023

-1.973 2.136 -2.804 1.344 1.46-1.852 2.136 -2.783 1.391 1.3920.265 0.067 -0.626 1.86 -1.234

-0.897 3.166 -2.554 1.291 1.2635.477 -10.676 -10.577 8.519 2.058

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,810.799 -9.152 -9.158 9.110 10.798 -10.750 -14.732 5.746-0.448 10.199 -8.719 3.688 5.031-0.137 3.315 -2.729 1.2 1.5290.322 0.396 0.068 -0.559 0.491

-0.923 2.759 -2.723 1.312 1.4110.014 -0.082 -0.234 0.041 0.194

-0.169 3.389 -2.495 1.16 1.3352.548 -4.056 -4.863 5.364 -0.501

6,10 6,7 7,6 7,3 7,11 7,8 8,7 8,410.769 -8.276 -8.496 8.772 10.724 -10.999 -16.474 7.932-1.229 10.826 -8.235 4.246 3.989-0.416 3.424 -2.58 1.371 1.210.021 0.513 0.174 -0.428 0.254

0.49 0.66 0.065 0.069 -0.133-0.265 3.413 -2.467 1.21 1.257-0.297 0.04 -0.128 0.114 0.0159.194 -7.099 -8.814 0.153 8.662

2,B 2,3 3,2 3,7 3,C 3,4 4,3 4,84.470 -7.908 -8.867 12.519 4.270 -7.922 -8.684 9.561

-0.298 38.526 -25.271 24.196 1.075-0.098 12.168 -7.913 7.575 0.3380.253 2.018 0.526 -0.493 -0.0150.253 2.018 0.528 -0.493 -0.015

-0.093 12.109 -7.906 7.55 0.3560.014 0.068 -0.099 0.116 -0.016

28.2 -17.331 -21.412 -6.215 27.627B,2 C,3

4.032 3.932-0.186 0.509-0.063 0.1590.154 -0.030.154 -0.03

-0.057 0.179

Page 169: Metodo de Cross - Concreto I

0.013 -0.01628.326 27.897

0.068 -0.099

Page 170: Metodo de Cross - Concreto I

28,24-0.20

00

15.1199361-3.023987223.77998402

-0.826863130.02651607

15.080.00

24,28-0.17

00

0000

-3.093662017.559968043.77998402

-1.400774016.84551604

020,24

-0.17

00

18.561972-3.09366201

Page 171: Metodo de Cross - Concreto I

-1.75783941.1970884

0.7869105315.6944696

016,20

-0.17

00

18.561972-4.6607784

-1.5468311.1970884

0.6159908414.1674419

012,16

-0.17

00

11.6913745-3.51567881

0

0.810854518.98655017

08,12

-0.17

00

11.6913745-3.89712482

0

0.74749863

Page 172: Metodo de Cross - Concreto I

8.541748280

4,D-0.17

00

-1.948562410.45333019

0.61858747-0.87664475

0D,4

00

-0.97428121-0.974281210.453330190.30929374

-1.18593849

28,2415.076

24,286.846

20,2415.694

Page 173: Metodo de Cross - Concreto I

16,2014.167

12,168.987

8,128.542

4,D-0.877

D,4-1.1860.5090.159-0.03-0.030.179

Page 174: Metodo de Cross - Concreto I

-0.01627.897

Page 175: Metodo de Cross - Concreto I

25,21 25,26 26,250.000 12.526 0.000 -12.526 -21.307 0.000

CM 0.000 -2.55 0.00 2.55 -11.86 0.00CV 0.000 -0.58 0.00 0.58 -2.71 0.00H-1 0.000 -0.55 0.00 0.55 -2.95 0.00H-2 0.000 0.06 0.00 -0.06 -0.59 0.00H-3 0.000 -0.58 0.00 0.58 -2.71 0.00H-4 0.00 0.00 0.00 0.00 0.00SISMO 0.000 15.08 0.00 -15.08 -9.44 0.00

0.000 21,25 21,17 21,22 22,21 22,180.000 6.798 -0.224 -6.574 -27.239 19.332

CM 0.000 -1.87633053 -5.64549512 7.52182565 -13.3917265 1.59316363CV 0.000 -0.45808017 -1.38173429 1.83981445 -3.38995501 0.37297435H-1 0.000 0.03906065 0.16732188 -0.20638253 -0.56788793 -0.42152477H-2 0.000 -0.65088588 -0.35765249 1.00853837 -3.78825814 -0.06182409H-3 0.000 -0.64970579 -0.48155321 1.131259 -3.46146498 0.23438157H-4 -0.64970579 -0.48155321 1.131259 -3.46146498 0.23438157SISMO 0.000 7.9865528 8.86444645 -16.8509993 -13.7698948 17.549553

0.000 17,13 17,21 17,18 18,17 18,140.000 11.566 -10.891 -0.675 -26.653 19.171

CM 0.000 -3.14655488 -9.0853145 12.2318694 -12.1032072 1.30855807CV 0.000 -0.76368791 -2.22013667 2.98382458 -3.06865956 0.30368515H-1 0.000 0.11404696 0.29319985 -0.40724681 -0.98496452 -0.36481978H-2 0.000 -0.1301429 0.36378036 -0.23363746 -0.6821452 -0.13731864H-3 0.000 0.01841346 -0.01473076 -0.00368269 0.00110434 0.00027609H-4 -0.18931811 0.10611223 0.08320588 -0.04062958 0.07425289SISMO 0.000 2.9991908 5.14370574 -8.14289654 -9.18364288 17.9802017

0.000 13,9 13,17 13,14 14,13 14,100.000 11.455 -9.069 -2.386 -28.601 24.273

CM 0.000 -3.14586962 -9.08668503 12.2325547 -12.1021877 1.30606039CV 0.000 -0.76307879 -2.22135491 2.9844337 -3.06801069 0.30209542H-1 0.000 0.13464563 0.11890011 -0.25354574 -0.65236232 -0.10840897H-2 0.000 -0.54825949 -2.29231792 2.84057742 -3.24253399 0.07841415H-3 0.000 0.05181741 -0.0958105 0.0439931 -0.02391838 0.08227592H-4 -0.58066125 -2.349843 2.93050424 -2.94862413 0.2519631SISMO 0.000 3.75442734 1.17379807 -4.92822541 -5.61511262 8.73269445

0.000 9,5 9,13 9,10 10,9 10,60.000 21.533 2.041 -23.575 -39.644 25.482

CM 0.000 -1.87 -5.65 7.51 -13.40 1.40CV 0.000 -0.42 -1.39 1.81 -3.42 0.32H-1 0.000 -0.63 -0.46 1.09 -3.44 0.12H-2 0.000 0.28 -0.85 0.57 -0.47 -0.10H-3 0.000 -0.60 -0.56 1.16 -3.49 0.25H-4 0.23 -0.91 0.69 0.13 0.12SISMO 0.000 10.21 3.09 -13.30 -10.76 9.11

0.000 5,1 5,9 5,6 6,5 6,20.000 17.053 16.359 -33.411 -41.498 27.732

Page 176: Metodo de Cross - Concreto I

CM 0.000 -2.51 -3.23 5.74 -13.89 1.31CV 0.000 -0.71 -0.76 1.47 -3.48 0.39H-1 0.000 -0.03 -0.15 0.17 -0.54 -0.11H-2 0.000 -0.77 -0.55 1.32 -3.36 0.23H-3 0.000 -0.08 -0.23 0.31 0.10 0.08H-4 -0.77 -0.53 1.30 -3.41 0.33SISMO 0.000 8.13 9.34 -17.46 -11.31 8.82

0.000 1,A 1,5 1,2 2,1 2,60.000 -5.906 13.804 -7.899 -60.327 30.022

CM 0.000 -7.27 -8.34 15.62 -43.40 2.95CV 0.000 -1.76 -2.02 3.79 -11.03 0.66H-1 0.000 -1.72 -1.69 3.42 -12.00 0.26H-2 0.000 0.23 -0.04 -0.19 -2.15 -0.63H-3 0.000 -1.84 -1.81 3.65 -10.72 0.64H-4 0.05 -0.23 0.18 0.01 0.09SISMO 0.000 2.89 10.03 -12.92 -9.28 12.72

A,1-2.911

CM -3.67074992CV -0.88549687H-1 -0.86871454H-2 0.23745096H-3 -0.9542248H-4 0.04748952SISMO 2.56807986

Page 177: Metodo de Cross - Concreto I

26,22 26,27 27,26 27,23 27,28 28,2718.106 3.201 -18.373 0.000 16.128 2.245 -17.387 0.000

0.88 10.979 -8.010 0.00 -0.56 8.57 -2.31 0.000.20 2.510 -1.833 0.00 -0.13 1.96 -0.53 0.000.15 2.801 -0.752 0.00 0.14 0.62 0.06 0.00

-0.19 0.777 -2.286 0.00 -0.04 2.33 -0.51 0.000.20 2.509 -1.834 0.00 -0.13 1.96 -0.53 0.000.00 0.000 0.000 0.00 0.00 0.00 0.00 0.00

17.22 -7.779 -10.363 0.00 16.69 -6.32 -15.08 0.0022,26 22,23 23,22 23,19 23,27 23,24 24,23 24,20

10.259 -2.163 -25.150 16.681 8.483 -0.015 -27.931 18.9230.83422702 11.154 -11.925 -0.87005092 -0.96047187 13.7558771 -5.93064421 3.621983210.18442158 2.879 -2.490 -0.06840553 -0.13443886 2.69325546 -1.08431733 0.67088643

-0.17761398 1.061 -3.550 -0.05550487 -0.17153349 3.77721592 -1.13861445 0.519478780.17015679 3.574 -0.932 0.14638832 0.20515818 0.58086263 -0.04670714 0.155344440.25102477 2.976 -2.965 -0.25571643 -0.24771806 3.46804928 -1.20557538 0.573526120.25102477 2.976 -2.965 -0.25571643 -0.24771806 3.46804928 -1.20557538 0.573526129.44430937 -13.224 -13.224 17.549553 9.44430937 -13.7698948 -21.4151463 14.5696302

18,22 18,19 19,18 19,15 19,23 19,20 20,19 20,1619.914 -12.432 -33.025 17.208 18.086 -2.269 -21.134 2.788

0.84196007 9.953 -12.056 -0.53583916 -0.63403065 14.0513781 -6.42308405 3.189141330.18881254 2.576 -2.546 -0.00106985 -0.03923741 2.74022045 -1.22158646 0.557542-0.3626919 1.712 -1.372 0.21324299 0.23894199 0.91938235 -0.18487148 0.09444203

-0.15125129 0.971 -3.606 0.00096985 0.04517398 3.76390357 -1.15728638 0.51566747-0.00270564 0.001 0.006 0.00124535 -0.01220444 0.0049814 -0.0091331 -0.002283280.05060239 -0.084 0.143 -0.08562926 -0.00987985 -0.04796119 -0.34413544 0.178012135.30126486 -14.098 -12.175 18.3807253 5.46519476 -11.6706096 -13.8898123 -1.80465725

14,18 14,15 15,14 15,11 15,19 15,16 16,15 16,1219.827 -41.250 -32.735 23.217 18.737 -37.001 -38.712 21.833

0.84221494 10.150 -12.097 -0.75368383 -1.04514273 11.7480426 -6.62302768 3.485877220.18897476 2.552 -2.549 -0.04190609 -0.11424601 2.21304278 -1.27460679 0.63595701

-0.31281695 1.186 -3.472 -0.25218143 -0.03495732 3.54074049 -1.29994204 0.81085617-0.01443136 3.101 -1.012 0.28445504 0.18885889 0.32419013 -0.32458333 0.19513366-0.01252928 -0.031 0.067 -0.05494989 0.01528263 -0.05708733 -0.18175704 0.230178030.16394338 2.565 -3.113 -0.14278762 -0.22648493 3.00835272 -1.2712003 0.682192135.57853877 -17.800 -5.147 9.47219136 6.31803569 -21.1881353 -19.1457948 4.97835297

10,14 10,11 11,10 11,7 11,15 11,12 12,11 12,825.383 -11.220 -34.184 23.438 24.025 -12.453 -43.659 21.419

0.84 11.151 -11.813 -0.64 -0.51 13.79 -6.02 3.570.23 2.857 -2.494 -0.03 0.00 2.68 -1.12 0.660.30 3.015 -2.902 -0.25 -0.09 3.45 -1.33 0.83

-0.19 0.761 -3.616 0.12 -0.03 3.73 -1.25 0.600.28 2.954 -2.990 -0.15 -0.11 3.45 -1.23 0.610.00 -0.248 0.024 0.00 0.06 -0.09 -0.30 0.31

10.80 -9.152 -9.158 9.11 10.80 -10.75 -14.73 5.756,10 6,7 7,6 7,3 7,11 7,8 8,7 8,4

25.275 -11.509 -34.954 25.210 23.404 -13.659 -44.965 22.897

Page 178: Metodo de Cross - Concreto I

0.78 11.798 -11.647 -1.208 -1.09 13.95 -5.81 3.310.06 3.033 -2.408 -0.056 -0.28 2.74 -1.07 0.60

-0.36 1.004 -3.345 -0.198 -0.29 3.83 -1.41 0.820.10 3.038 -2.866 -0.196 -0.40 3.46 -1.35 0.86

-0.17 -0.013 0.162 -0.041 -0.13 0.00 -0.21 0.220.10 2.987 -2.925 -0.160 -0.40 3.48 -1.23 0.60

10.77 -8.276 -8.496 8.772 10.72 -11.00 -16.47 7.932,B 2,3 3,2 3,7 3,C 3,4 4,3 4,8

6.758 23.547 -58.483 23.141 0.736 34.606 -37.656 31.2312.51 37.941 -43.127 -3.73 -3.31 50.17 -18.47 9.670.56 9.813 -8.992 -0.48 -0.43 9.90 -3.34 1.740.38 11.363 -3.818 0.68 0.78 2.36 0.35 0.01

-0.75 3.527 -12.215 -0.68 -0.59 13.49 -4.41 2.320.64 9.439 -10.727 -0.83 -0.84 12.39 -4.34 2.16

-0.02 -0.083 0.091 -0.09 0.02 -0.03 -0.23 0.244.47 -7.908 -8.867 12.52 4.27 -7.92 -8.68 9.56

B,2 C35.432 0.868

1.9997714 -2.464481970.43847397 -0.365306480.29091079 0.39791791

-0.36837658 -0.415422030.50458401 -0.62076343

-0.01139021 0.01329184.03229987 3.93234016

-0.08336974 0.09133484

Page 179: Metodo de Cross - Concreto I

28,2417.421

2.350.54

-0.080.520.540.00

15.0824,28

9.0072.308661

0.41343090.61913567-0.10863730.632049260.632049266.84551604

20,2418.346

3.233942720.664044460.090429450.641618910.011416380.1661233115.6944696

16,2016.880

3.137150460.638649790.489085870.12944967

-0.048420990.5890081714.1674419

12,1622.239

2.450.470.500.650.63

-0.018.99

8,1222.068

Page 180: Metodo de Cross - Concreto I

2.500.470.590.490.000.638.54

4,D6.425

8.801.59

-0.362.092.18

-0.01-0.88

D41.624

4.604920320.80871584

-0.365345211.088123471.14246885

-0.01014659-1.18593849