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7/24/2019 Trabajo Analisis Dinamico ULTIMO
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MATRIZ DE RIGIDE
K=
648734 -392910 77853
-392910 583500 -278083
77853 -278083 213958
0 0 0
0 0 0
0 0 0
851453 -358667 63930
-331681 403931 -167495
49137 -133790 90275
K*g=
6364078 -3854445 763741
-3854445 5724134 -2727990
763741 -2727990 2098923
0 0 0
0 0 0
0 0 0
8352753 -3518521 627150
-3253788 3962561 -1643127
482039 1312482 885594
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482039 1312482 885594
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FRECUENCIAS
W1 =5.4570643491
W2 =1.4731733255
W3 =0.3407172224
W4 =6.4610223022
W5 =1.5419177445
W6 =0.3130198539
W7 = 101.2627854608
W8 =27.5045537911
W9 =6.3263567437
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TRIDIMENCIONAL ENSAMBLADA DE TODA LA ESTRUCTURA
0 0 0 851453 -331681
0 0 0 -358667 403931
0 0 0 63930 -167495
858294 -581275 151821 -797106 830642
-581275 780989 -368555 541264 -933720
151821 -368555 251959 -192556 437547
-797106 541264 -192556 159053080 -97858337
830642 -933720 437547 -97858337 145213196
-338451 594825 -358942 20100488 -69597052
MATRIZ DE RIGIDEZ*9.81
0 0 0 8352753 -3253788
0 0 0 -3518521 3962561
0 0 0 627150 -1643127
8419860 -5702311 1489361 -7819606 8148596
-5702311 7661506 -3615528 5309797 -9159790
1489361 -3615528 2471717 -1888976 4292339
-7819606 5309797 -1888976 1560310719 -959990282
8148596 -9159790 4292339 -959990282 1424541450
3320205 5835238 3521217 197185790 682747083
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1126.24154 0 0 0 0
0 1126.24154 0 0 0
0 0 4454776.53376414 0 0
0 0 0 799.56188 0
0 0 0 0 799.561880 0 0 0 0
M*=t*M*
-659.6159072381 -7043.7230942738 -34436.3232726079 -1262.1355159291 3089.7607283586
7856.5995078782 741.9699351156 89567.0329278406 -6902.273966152 12890.806773102832874.1171090073 -89850.6078600117 1125.0513813186 -467.5743664357 2291.5103245254
351386.364363781 -714945.01181077 961176.71527819 7872.7611221492 -16913.925593701
-714945.01181077 1461219.6661202 -1962416.73772613 -4058.5005075172 10158.3108478371
961176.71527819 -1962416.73772613 2644574.74288551 -5048.0012484573 7567.7756858951
7872.7611221492 -4058.5005075172 -5048.0012484573 257094.036858574 -519522.702382128
-16913.925593701 10158.3108478371 7567.7756858951 -519522.702382128 1053903.51142415
14744.1547254866 2305.2083793086 -30820.3666009328 688939.403459211 -1396506.02886794
K*=t*Kg*
-0.0141055271 0.0009354012 0.026281124 -0.6042156408 -0.0530862145
0.1014248054 0.0038617144 0.0038151351 0.8897584474 -0.0672169881
0.0381440886 0.0034519212 -0.4954496693 0.0077217583 -0.2469571155
14668556.7323099 0.0520103423 -0.2621902238 -0.4940209644 -0.0373453966
0 0520103433 3474064 85197694 0 2037630383 0 2951785804 0 2706262891
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PERIODOS
T1= 1.1513855995
T2= 4.2650686096
T3= 18.4410557894
T4= 0.9724754092
T5= 4.0749160125
T6= 20.0728012248
T7= 0.062048316
T8= 0.2284416375
T9= 0.9931759402
M1=M2=
M3=
M4=
M5=
M6=
M7=
M8=
M9=
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49137
-133790
90275
-338451
594825
-358942
20100488
-69597052
53276702
482039
-1312482
885594
-3320205
5835238
-3521217
197185790
-682747083
522644451
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0
0
0
0
03162615.98761163
-7546.5963071928
-10149.0902320583-13197.9206046189
14744.1547254866
2305.2083793086
-30820.3666009328
688939.40345921
-1396506.02886794
1852888.92853839
-0.6036389239
0.1844472393
-0.4951219245
0.0243524781
0 4216678128
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ODOS
0.0620483160.2284416375
0.9724754092
0.9931759402
1.1513855995
4.0749160125
4.2650686096
18.4410557894
20.0728012248
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CALCULO DEL CENTROIDE DEL GEOMETRICO
SECC B ! "# # A# A#*"#A1 267.17 m2 1.00 m 16.33 m 15.02 m 267.17 m2 4363.42860
A$ 137.12 m2 1.00 m 13.48 m 36.53 m 137.12 m2 1847.739471
A% 43.40 m2 1.00 m 5.63 m 36.10 m 43.40 m2 244.125
A& 203.67 m2 1.00 m 7.47 m 21.12 m 203.67 m2 1522.230514
' ()1.%) $ +9++.)$%)9
" = 1$.$)
= $$.8(
CALCULO DE LAS CARACTERISTICAS GEOMETRICAS MASA INER
SECC "#," #, -"#,"/$*A# -#,/$*A# I00# I #A1 4.08 -7.84 4457.035840518 16418.0738470438 22.2642083333 1589220.8844
A$ 1.23 13.67 206.8047377686 25611.5020724636 11.4263666667 214826.05874
A% -6.62 13.24 1903.4703136261 7606.1786870028 3.6166666667 6812.2086666
A& 4 77 1 74 4640 8169856755 615 7814595015 16 9722833333 704017 26829
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A#*#4013.5421192
5008.6564174
1566.74
4302.00538998 " .1&892.9&%9$()8 " .
L
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RESPUESTA SISMICA INERCIAL SENTIDO " 4ERIFICAION D
Z= 0.4 $ONA 3 %M
U= 1.5 EDIFICACIONE
C= 2.5
S= 1.4 SUE(O
R= 5.25 DUA() ESRUC
RESPUESTA SISMICA INERCIAL SENTIDO ""
T 5 C1g S60 1227 S6 %27 S0
1.15139 5.45706 24.52500 3.92400 1.17720 0.13177
4.26507 1.47317 24.52500 3.92400 1.17720 1.80810
18.44106 0.34072 24.52500 3.92400 1.17720 33.80188
0.97248 6.46102 24.52500 3.92400 1.17720 0.09400
4.07492 1.54192 24.52500 3.92400 1.17720 1.65047
20.07280 0.31302 24.52500 3.92400 1.17720 40.04841
0.06205 101.26279 24.52500 3.92400 1.17720 0.00038
0.22844 27.50455 24.52500 3.92400 1.17720 0.00519
0.99318 6.32636 24.52500 3.92400 1.17720 0.09804
RESPUESTA MODAL
PARAMEROSDE(
SUE(O
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-2.2786E-007 -8.1026E-006 -0.000017703 -1.6587E-009 -1.0219E-007 -2.7920E-007
-4.6816E-007 -6.2467E-006 -1.9394E-005 2.38469E-008 -2.3768E-007 -3.6994E-007
1 $ % & ) (
140.54459 256.12491845 55.614823675 0.0294889076 0.1271037114 0.032636291
-144.1735666 161.95044 117.84318164 -0.02742035 0.0883522199 0.0618362769
59.001881188 -214.4222347 155.45791 0.0112087569 -0.11646577 0.0778767846
-1.747570189 -5.985773816 1.1858351763 2.10E*00 5.7301849494 -1.274329905
D = 2.0412865956 -3.522850706 2.61441369 -2.112924986 3.72E*00 -2.790302314
-0.86042918 5.1748827276 3.3478602928 0.8693315213 -4.771960452 -3.70704
-1.2134891069 -2.322758093 -0.356221678 0.012616232 -0.001797012 -0.004746905-0.245524139 -2.677674928 -0.550977023 -0.002480147 -0.036188067 -0.007371792
-0.504469119 -2.064272061 -0.603476261 0.0356573643 -0.084173599 -0.009772834
4ECTOR DE FUERZAS 4ECTOR DE DES
336.1865 1 E++"502
291.1288 $ E++"502
310.7797 % E++"502
F =11.1792 &
D=E++"502
9 4967 ) E 502
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DESPLAZAMIENTOS
O&UE'UA%
ESCENCIA(ES
IPO S3
RA IRRE'U(AR
S
0.03953 1.95E-04
0.54243 1.12E-03
10.14056 6.52E-03
0.02820 2.07E-06
0.49514 2.35E-05
12.01452 -1.82E-04
0.00011 4.05E-09
0.00156 2.89E-08
0.02941 7.39E-07
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-2.7861E-009 1.25E-08 4.30331E-007 8
1.15170E-009 -1.6686E-008 5.66E-07 9
+ 8 9
0.0032887034 0.0121874278 0.0617129586 1 140.54458772
-0.00225737 4.40057E-005 0.0243660525 $ 144.17356665
0.0007469457 -0.002313153 -0.008538299 % 59.001881188
-0.004881165 0.0001523255 -0.0010813109 & 1.7475701885
0.0047738174 -0.010890096 0.0529142113 ) 2.0412865956
-0.00216315 0.0076726783 -0.058395967 ( 0.8604291801
7.25E-01 1.6281186573 1.533297703 + 1.2134891069-0.748724247 1.02E*00 3.2530462604 8 0.2455241392
0.3095012714 -1.356067299 4.28E*00 9 0.5044691186
PLAZAMIENTOS
1
$
%
&
)
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256.12491845 55.614823675 0.0294889076 0.1271037114 0.032636291 0.0032887034 0.0121874278
161.95044332 117.84318164 0.0274203504 0.0883522199 0.0618362769 0.0022573696 4.40057E-005
214.42223474 155.45790681 0.0112087569 0.1164657702 0.0778767846 0.0007469457 0.0023131527
5.9857738159 1.1858351763 2.0974052536 5.7301849494 1.2743299048 0.0048811648 0.0001523255
3.5228507057 2.61441369 2.1129249863 3.7233643811 2.7903023139 0.0047738174 0.0108900959
5.1748827276 3.3478602928 0.8693315213 4.7719604523 3.7070409263 0.0021631496 0.0076726783
2.3227580932 0.3562216775 0.012616232 0.0017970122 0.0047469052 0.7248346571 1.62811865732.6776749282 0.5509770225 0.0024801471 0.0361880673 0.0073717922 0.7487242473 1.0155690873
2.0642720612 0.6034762615 0.0356573643 0.0841735994 0.0097728342 0.3095012714 1.356067299
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0.0617129586 11%.1%+(8+ 19752.781138 65599.973852 3093.0086124 0.0008695957
0.0243660525 12(.2&$8(+ 20786.01732 26227.946091 13887.015458 0.0007518756
0.0085382995 12+.$+&+9%1 3481.2219837 45976.894752 24167.160789 0.0001256362
0.0010813109 &.)2(82%)$$ 3.0540015638 35.829488175 1.4062050654 4.3991087976
0.0529142113 &.$18&%2199 4.1668509653 12.410477095 6.8351589426 4.4644519978
0.0583959667 &.(999%&$$& 0.7403383741 26.779411245 11.20816854 0.7557372939
1.533297703 1.9&9&+2211 1.4725558127 5.3952051595 0.1268938835 0.00015916933.2530462604 $.1%&%889$% 0.0602821029 7.1699430209 0.3035756793 6.15113E-006
4.2769501901 $.%1128) 0.2544890916 4.2612191427 0.3641835982 0.0012714476
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0.0161553534 0.0010651275 1.08156E-005 0.0001485334 0.0038084893 $$%.2&8++1&
0.0078061148 0.0038237251 5.09572E-006 1.93650E-009 0.0005937045 18).28)9&+&
0.0135642756 0.0060647936 5.57928E-007 5.35068E-006 7.29026E-005 $2%.)2&8(&$
32.835019555 1.6239167062 2.38258E-005 2.32030E-008 1.16923E-006 (.(+$%++$18
13.863442315 7.7857870032 2.27893E-005 0.0001185942 0.0027999138 ).$+8$(92&9
22.771606558 13.74215243 4.67922E-006 0.00005887 0.0034100889 (.)%8%8((1(
3.22925E-006 2.25331E-005 0.5253852801 2.6507703623 2.3510018461 $.()%98$)(+0.0013095762 5.43433E-005 0.5605879985 1.031380571 10.582309972 %.%$9(&9&$)
0.0070851948 9.55083E-005 0.095791037 1.8389185194 18.292302929 %.+)8(&1++8
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RESPUESTA SISMICA INERCIAL SENTIDO 4ERIFICAION DE
Z= 0.4 $ONA 3 %M
U= 1.5 EDIFICACIONE
C= 2.5
S= 1.4 SUE(O
R= 5.25 DUA() ESRUC
RESPUESTA SISMICA INERCIAL SENTIDO ""
T 5 C1g S60 %27 S6 1227 S0
1.15139 5.45706 24.52500 1.17720 3.92400 0.03953
4.26507 1.47317 24.52500 1.17720 3.92400 0.54243
18.44106 0.34072 24.52500 1.17720 3.92400 10.14056
0.97248 6.46102 24.52500 1.17720 3.92400 0.02820
4.07492 1.54192 24.52500 1.17720 3.92400 0.49514
20.07280 0.31302 24.52500 1.17720 3.92400 12.014520.06205 101.26279 24.52500 1.17720 3.92400 0.00011
0.22844 27.50455 24.52500 1.17720 3.92400 0.00156
0.99318 6.32636 24.52500 1.17720 3.92400 0.02941
RESPUESTA MODAL
PARAMEROSDE(
SUE(O
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2.38909E-007 -6.3496E-006 -2.6180E-005 1.44894E-009 -8.4142E-008 -3.9068E-007
4.90864E-007 -4.8953E-006 -2.8681E-005 -2.0831E-008 -1.9571E-007 -5.1766E-007
1 $ % & ) (
-147.3596 200.71391986 82.246147343 -0.025759476 0.1046583273 0.0456680721
151.164517734 126.91349 174.27273953 0.023952527 0.0727500043 0.0865277108
-61.86287211 -168.0333468 229.89939 -0.009791197 -0.095898952 0.1089732474
1.832309562 -4.690789687 1.7536758762 -1.83E*00 4.7182852913 -1.7831741341
D = -2.140268226 -2.760704341 3.8663334585 1.8457055392 3.07E*00 -3.90447944
0.9021512409 4.0553297327 4.9509931476 -0.759388059 -3.929274711 -5.18727
1.272330982 -1.820244139 -0.526799487 -0.0110206701 -0.001479676 -0.006642360.2574295618 -2.098376972 -0.814814008 0.0021664855 -0.029797577 -0.010315374
0.5289307381 -1.6176799179 -0.892452664 -0.0311478141 -0.069309291 -0.01367516
4ECTOR DE FUERZAS 4ECTOR DE DES
304.3085 1 E++"502
310.6152 $ E++"502
333.5567 % E++"502
F =9.8274 &
D=E++"502
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DESPLAZAMIENTOS
O&UE'UA%
ESCENCIA(ES
IPO S3
RA IRRE'U(AR
S
0.13177 -2.04E-04
1.80810 8.81E-04
33.80188 9.65E-03
0.09400 -1.81E-06
1.65047 1.94E-05
40.04841 -2.55E-040.00038 -1.97E-09
0.00519 8.77E-09
0.09804 4.59E-07
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1.35573E-009 3.79E-09 2.67340E-007 8
-5.6042E-010 -5.0604E-009 3.51E-07 9
+ 8 9
-0.001600292 0.0036962305 0.0383387454 1 147.35957025
0.0010984418 1.33461E-005 0.0151372403 $ 151.164517734
-0.000363466 -0.000701538 -0.005304359 % 61.862872109
0.0023751874 4.61976E-005 -0.000671757 & 1.832309562
-0.002322952 -0.003302773 0.032872585 ) 2.1402682263
0.0010525942 0.0023269871 -0.036278087 ( 0.9021512409
-3.53E-01 0.4937794864 0.9525505114 + 1.2723309820.3643311481 3.08E-01 2.0209323166 8 0.2574295618
-0.1506041162 -0.4112711389 2.66E*00 9 0.5289307381
PLAZAMIENTOS
1
$
%
&
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200.71391986 82.246147343 0.0257594758 0.1046583273 0.0456680721 0.0016002915 0.0036962305
126.913494 174.27273953 0.023952527 0.0727500043 0.0865277108 0.0010984418 1.33461E-005
168.03334678 229.89938768 0.009791197 0.0958989518 0.1089732474 0.0003634657 0.0007015382
4.6907896867 1.7536758762 1.8321485711 4.7182852913 1.7831741341 0.0023751874 4.61976E-005
2.7607043411 3.8663334585 1.8457055392 3.0658513728 3.9044794397 0.0023229518 0.0033027728
4.0553297327 4.9509931476 0.759388059 3.9292747113 5.1872748723 0.0010525942 0.0023269871
1.8202441394 0.5267994869 0.0110206701 0.0014796758 0.0066423604 0.352706412 0.49377948642.0983769724 0.8148140079 0.0021664855 0.0297975767 0.0103153737 0.3643311481 0.3080040758
1.6176799179 0.8924526635 0.0311478141 0.069309291 0.0136751598 0.1506041162 0.4112711389
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0.0383387454 12+.(%&8%9( 21714.842945 40286.077625 6764.4287528 0.0006635506
0.0151372403 11%.1%+))+( 22850.711422 16107.03496 30370.987742 0.0005737235
0.0053043591 11).22&1)98 3827.0149456 28235.205629 52853.728457 9.58675E-005
0.0006717568 &.1)%%(92(( 3.3573583309 22.003507885 3.0753790786 3.3567683864
0.032872585 &.&2)&(21+$ 4.5807480807 7.6214884588 14.948534412 3.4066289374
0.0362780873 &.9)(21+%)8 0.8138768615 16.445699241 24.512333148 0.5766702242
0.9525505114 1.%)9%88&%1 1.6188261276 3.3132887271 0.2775176994 0.00012145522.0209323166 1.&+()&188 0.0662699793 4.4031859183 0.6639218674 4.69366E-006
2.6570254967 1.)9%2$&28& 0.2797677257 2.6168883169 0.7964717566 0.0009701863
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0.0109533655 0.0020855728 2.56093E-006 1.36621E-005 0.0014698594 19(.(+%(%$
0.0052925631 0.0074870447 1.20657E-006 1.78119E-010 0.000229136 19+.&++(&)8
0.009196609 0.0118751686 1.32107E-007 4.92156E-007 2.81362E-005 $18.))$)8(9
22.26221609 3.1797099926 5.64151E-006 2.13422E-009 4.51257E-007 ).(+&2%%)+8
9.3994446402 15.244959695 5.39611E-006 1.09083E-005 0.0010806068 ).)+$%9911&
15.439199757 26.9078206 0.000001108 5.41487E-006 0.0013160996 (.92$%19819
2.18944E-006 0.000044121 0.1244018131 0.2438181812 0.9073524768 1.9299+9(%$0.0008878956 0.0001064069 0.1327371855 0.0948665107 4.0841674284 $.%2)29%9()
0.0048037778 0.00018701 0.0226815998 0.1691439497 7.0597844902 $.&81888228
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4ECTORES
PRIMER NIVEL
PORTICO Rdk COS SEN PORTICO Rdk
01 10.95 m 90 180 0.00 1.00 -1 01 11.68 m
02 7.34 m 90 180 0.00 1.00 -1 02 8.06 m
03 3.34 m 90 180 0.00 1.00 -1 03 4.06 m
04 0.82 m 90 180 0.00 1.00 -1 04 0.10 m
05 2.08 m 90 0 0.00 1.00 1 05 1.37 m
06 7.52 m 90 0 0.00 1.00 1 06 6.80 m
07 9.74 m 90 0 0.00 1.00 1 07 9.02 m
A 23.28 m 0 270 1.00 0.00 1 A 23.21 m
B 19.03 m 0 270 1.00 0.00 1 B 18.96 m
C 14.78 m 0 270 1.00 0.00 1 C 14.71 m
D 10.53 m 0 270 1.00 0.00 1 D 10.46 m
E 6.28 m 0 270 1.00 0.00 1 E 6.21 m
F 2.03 m 0 270 1.00 0.00 1 F 1.98 m
G 2.22 m 0 90 1.00 0.00 -1 G 2.29 m
7.40 m 0 90 1.00 0.00 -1 7.47 m
I 12.82 m 0 90 1.00 0.00 -1 I 12.89 m
! 15.75 m 0 90 1.00 0.00 -1 ! 15.82 m
" 18.25 m 0 90 1.00 0.00 -1 " 18.32 m
CENTRO DE MASA
#$ 10%&6 ' ($ 23%2) ' #$ 11%6
SEN*+,
7/24/2019 Trabajo Analisis Dinamico ULTIMO
37/89
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
4%71E+05 8.03E-05 9.05E-05 82918.3355925 -51843.080641
)%03E+05 1%&7E+04 2.55E-04 -51843.080641 58116.8536247
&%05E+05 2%55E+04 4%12E+04 13857.490983 -24567.846786
0.00 0 0 1.00 0
0 0.00 0 0 1.00
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"-$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 82918.3355925 -51843.080641 13857.490983
0 0 0 -51843.080641 58116.8536247 -24567.846786
0 0 0 13857.490983 -24567.846786 14585.2891941
F- $ Kpk =
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
38/89
0 0 0 -907955.77474 567681.733016 -151739.52626
0 0 0 605527.181884 -678804.85034 286952.450461
0 0 0 -168229.94053 298253.659982 -177065.41082
POR2,
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
1%3&E+05 2.13E-05 2.27E-05 290113.585102 -203124.60021
2%13E+05 4%5)E+05 5.42E-05 -203124.60021 273484.907918
2%27E+05 5%42E+05 7%6&E+05 57571.7922707 -132791.87315
0.00 0 0 1.00 0
0 0.00 0 0 1.00
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
F- $ Kpk =
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
39/89
".$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 290113.585102 -203124.60021 57571.7922707
0 0 0 -203124.60021 273484.907918 -132791.87315
0 0 0 57571.7922707 -132791.87315 89588.1695778
0 0 0 -2129433.7146 1490934.56555 -422576.95527
0 0 0 1637184.2777 -2204288.3578 1070302.49759
0 0 0 -490511.67015 1131386.75924 -763291.2048
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
2%73E+03 4.17E-03 4.45E-03
Kpk =
1294.69095208 -845.62147187
4%17E+03 &%3)E+03 1.14E-02 -845.62147187 1075.49120708
4%45E+03 1%14E+02 1%73E+02 222.850034201 -489.64039693
0.00 0 0 1.00 0
0 0.00 0 0 1.00
F- $
Cos k =
Sen k=
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40/89
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"/$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 1294.69095208 -845.62147187 222.850034201
0 0 0 -845.62147187 1075.49120708 -489.64039693
0 0 0 222.850034201 -489.64039693 322.549702492
0 0 0 -4324.2677799 2824.37571604 -744.31911423
0 0 0 3433.22317579 -4366.4943007 1987.94001154
0 0 0 -1007.2821546 2213.17459413 -1457.9246553
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41/89
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
2%65E+05 3.57E-05 3.71E-05
Kpk =
129658.736439 -89500.682674
3%57E+05 6%&)E+05 7.94E-05 -89500.682674 133518.621932
3%71E+05 7%&4E+05 1%13E+04 20361.6647426 -64511.896183
0.00 0 0 1.00 0
0 0.00 0 0 1.00
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"d$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 129658.736439 -89500.682674 20361.6647426
0 0 0 -89500.682674 133518.621932 -64511.896183
0 0 0 20361.6647426 -64511.896183 47547.8487834
0 0 0 -106320.16388 73390.5597927 -16696.565089
0 0 0 8950.0682674 -13351.862193 6451.18961834
F- $
Cos k =
Sen k=
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42/89
0 0 0 -7533.8159548 23869.4015879 -17592.70405
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
2%&1E+05 4.47E-05 4.75E-05
Kpk =
120688.877953 -77763.953463
4%47E+05 1%01E+04 1.23E-04 -77763.953463 96979.782919
4%75E+05 1%23E+04 1%)&E+04 20249.9252915 -43578.502252
0.00 0 0 1.00 0
0 0.00 0 0 1.00
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
0 0 0 0 0 0
F- $
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
43/89
"$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 120688.877953 -77763.953463 20249.9252915
0 0 0 -77763.953463 96979.782919 -43578.502252
0 0 0 20249.9252915 -43578.502252 28581.9391634
0 0 0 251032.866142 -161749.0232 42119.8446063
0 0 0 -106536.61624 132862.302599 -59702.548085
0 0 0 18427.4320152 -39656.437049 26009.5646387
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POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
4%44E+05 7.13E-05 7.80E-05
Kpk =
79079.6810004 -49110.134899
7%13E+05 1%70E+04 2.13E-04 -49110.134899 58761.4197953
7%)0E+05 2%13E+04 3%37E+04 12704.1890939 -25742.536848
0.00 0 0 1.00 0
0 0.00 0 0 1.00
0 0 0.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 79079.6810004 -49110.134899 12704.1890939
0 0 0 -49110.134899 58761.4197953 -25742.536848
0 0 0 12704.1890939 -25742.536848 16286.1094535
0 0 0 594679.201123 -369308.21444 95535.5019861
0 0 0 -333948.91731 399577.654608 -175049.25057
F- $
Cos k =
Sen k=
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7/24/2019 Trabajo Analisis Dinamico ULTIMO
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"1$
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 154539.651832 -109087.29625 26852.7586836
0 0 0 -109087.29625 159052.315372 -76873.060173
0 0 0 26852.7586836 -76873.060173 55046.9851784
0 0 0 1505216.20885 -1062510.2655 261545.869578
0 0 0 -983967.41221 1434651.88465 -693395.00276
0 0 0 229859.614331 -658033.39508 471202.193127
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POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
3%2)E+05 3.91E-05 3.94E-05 72435.5459079 -41164.235258
3%&1E+05 )%13E+05 8.81E-05 -41164.235258 68033.3867017
3%&4E+05 )%)1E+05 1%32E+04 5865.27845923 -33178.266861
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"2$
72436 -41164 5865 0 0 0
-41164 68033 -33178 0 0 0
5865 -33178 28018 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
1686300 -958303 136544 0 0 0
-955422 1579055 -770068 0 0 0
F- $ Kpk =
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
48/89
135429 -766086 646928 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
6%15E+05 8.65E-05 9.09E-05 44433.3657292 -25884.262006
)%65E+05 1%&&E+04 2.34E-04 -25884.262006 35995.721144
&%0&E+05 2%34E+04 3%63E+04 5576.44707556 -16752.65378
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
44433 -25884 5576 0 0 0
F- $ Kpk =
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
49/89
"3$
-25884 35996 -16753 0 0 0
5576 -16753 12176 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
845567 -492578 106120 0 0 0
-490766 682479 -317630 0 0 0
105060 -315620 229394 0 0 0
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50/89
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
6%15E+05 8.65E-05 9.09E-05 44433.3657292 -25884.262006
)%65E+05 1%&&E+04 2.34E-04 -25884.262006 35995.721144
&%0&E+05 2%34E+04 3%63E+04 5576.44707556 -16752.65378
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"4$
44433 -25884 5576 0 0 0
-25884 35996 -16753 0 0 0
5576 -16753 12176 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
656725 -382569 82420 0 0 0
-380757 529497 -246432 0 0 0
F- $ Kpk =
Cos k =
Sen k=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
51/89
81360 -244421 177646 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
6%15E+05 8.65E-05 9.09E-05 44433.3657292 -25884.262006
)%65E+05 1%&&E+04 2.34E-04 -25884.262006 35995.721144
&%0&E+05 2%34E+04 3%63E+04 5576.44707556 -16752.65378
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
44433 -25884 5576 0 0 0
F- $ Kpk =
Cos k =
Sen k=
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52/89
"5$
-25884 35996 -16753 0 0 0
5576 -16753 12176 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
467883 -272561 58720 0 0 0
-270749 376515 -175233 0 0 0
57660 -173222 125899 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
6%15E+05 8.65E-05 9.09E-05 44433.3657292 -25884.262006
)%65E+05 1%&&E+04 2.34E-04 -25884.262006 35995.721144
&%0&E+05 2%34E+04 3%63E+04 5576.44707556 -16752.65378
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
F- $ Kpk =
Cos k =
Sen k=
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53/89
MATRIZ DE RIGIDEZ TRIDIMENCI
"6$
44433 -25884 5576 0 0 0
-25884 35996 -16753 0 0 0
5576 -16753 12176 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
279042 -162553 35020 0 0 0
-160741 223533 -104034 0 0 0
33961 -102024 74151 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
6%15E+05 8.65E-05 9.09E-05 44433.3657292 -25884.262006
)%65E+05 1%&&E+04 2.34E-04 -25884.262006 35995.721144
&%0&E+05 2%34E+04 3%63E+04 5576.44707556 -16752.65378
F- $ Kpk =
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1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"6$
44433 -25884 5576 0 0 0
-25884 35996 -16753 0 0 0
5576 -16753 12176 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
90200 -52545 11320 0 0 0
-51251 71272 -33170 0 0 0
10261 -30825 22404 0 0 0
POR
Cos k =
Sen k=
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55/89
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
2%56E+05 3.33E-05 3.38E-05 112662.358399 -71196.812368
3%33E+05 6%7)E+05 7.58E-05 -71196.812368 106567.662774
3%3)E+05 7%5)E+05 1%11E+04 14269.6936126 -50899.635336
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"6$
112662 -71197 14270 0 0 0
-71197 106568 -50900 0 0 0
14270 -50900 39265 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
-250110 158057 -31679 0 0 0
163041 -244040 116560 0 0 0
-34390 122668 -94630 0 0 0
F- $ Kpk =
Cos k =
Sen k=
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56/89
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
2%5&E+05 3.51E-05 3.59E-05 120651.749155 -78669.563758
3%51E+05 7%23E+05 8.19E-05 -78669.563758 113177.038376
3%5&E+05 )%1&E+05 1%20E+04 17641.7614919 -53868.22629
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
120652 -78670 17642 0 0 0
-78670 113177 -53868 0 0 0
17642 -53868 39939 0 0 0
0 0 0 0 0 0
F- $ Kpk =
Cos k =
Sen k=
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57/89
"6$ 0 0 0 0 0 00 0 0 0 0 0
-892823 582155 -130549 0 0 0
587662 -845432 402396 0 0 0
-133901 408860 -303137 0 0 0
POR
1%32E+04 1.72E-04 1.76E-04 19328.574697 -11112.283507
1%72E+04 3%)0E+04 4.29E-04 -11112.283507 16599.9436773
1%76E+04 4%2&E+04 6%52E+04 2097.79039197 -7925.5370376
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
F- $ Kpk =
Cos k =
Sen k=
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"6$
19329 -11112 2098 0 0 0
-11112 16600 -7926 0 0 0
2098 -7926 6183 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
-247792 142459 -26894 0 0 0
143237 -213973 102160 0 0 0
-27292 103111 -80446 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
&%16E+05 1.16E-04 1.18E-04 27452.1384977 -15913.693607
1%16E+04 2%51E+04 2.79E-04 -15913.693607 24531.952406
1%1)E+04 2%7&E+04 4%20E+04 2868.15161113 -11842.070746
1.00 0 0 0.00 0
F- $ Kpk =
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0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"6$
27452 -15914 2868 0 0 0
-15914 24532 -11842 0 0 0
2868 -11842 9450 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
-432371 250641 -45173 0 0 0
251755 -388095 187342 0 0 0
-45718 188763 -150635 0 0 0
POR
MATRIZ DE FLE"IBILIDAD MATRIZ DE RIGIDEZ
3%5&E+05 4.35E-05 4.41E-05 74036.5186055 -45431.846966
Cos k =
Sen k=
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60/89
4%35E+05 )%57E+05 9.34E-05 -45431.846966 74611.3042081
4%41E+05 &%34E+05 1%36E+04 7228.44864757 -36605.553273
1.00 0 0 0.00 0
0 1.00 0 0 0.00
0 0 1.00 0 0
MATRIZ DE RIGIDEZ TRIDIMENCI
"6$
74037 -45432 7228 0 0 0
-45432 74611 -36606 0 0 0
7228 -36606 30222 0 0 0
0 0 0 6.908497E-052 0 0
0 0 0 0 0 0
0 0 0 0 0 0
-1351166 829131 -131919 1.305202E-022 0 0
832311 -1366879 670614 -8.039974E-023 0 0
-133293 675006 -557299 1.287582E-023 0 0
F- $ Kpk =
Cos k =
Sen k=
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61/89
7/24/2019 Trabajo Analisis Dinamico ULTIMO
62/89
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E POSICION
SEGUNDO NIVEL
COS SEN 90 180 0.00 1.00 -1
90 180 0.00 1.00 -1
90 180 0.00 1.00 -1
90 180 0.00 1.00 -1
90 0 0.00 1.00 1
90 0 0.00 1.00 1
90 0 0.00 1.00 1
0 270 1.00 0.00 1
0 270 1.00 0.00 1
0 270 1.00 0.00 1
0 270 1.00 0.00 1
0 270 1.00 0.00 1
0 270 1.00 0.00 1
0 90 1.00 0.00 -1
0 90 1.00 0.00 -1
0 90 1.00 0.00 -1
0 90 1.00 0.00 -1
0 90 1.00 0.00 -1
CENTRO DE MASA
) ' ($ 23%21 '
SEN*+,
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64/89
ICO 1
LATERAL MA
13857.490983 10.95
-24567.846786 0
14585.2891941 0
0 -1.00
0 0
1.00 0
NAL DEL PORTICO :1:
0 0 0
0 0 0
0 0 0
-907955.77474 605527.181884 -168229.94053
567681.733016 -678804.85034 298253.659982
-151739.52626 286952.450461 -177065.41082
Rdk =
Sen( k-
k)=
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9942115.73338 -6630522.6416 1842117.84884
-6630522.6416 7928440.65193 -3483602.7486
1842117.84884 -3483602.7486 2149574.08731
ICO $
LATERAL MA
57571.7922707 7.34
-132791.87315 0
89588.1695778 0
0 -1.00
0 0
1.00 0
NAL DEL PORTICO :$:
Rdk =
Sen( k-
k)=
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0 0 0
0 0 0
0 0 0
-2129433.7146 1637184.2777 -490511.67015
1490934.56555 -2204288.3578 1131386.75924
-422576.95527 1070302.49759 -763291.2048
15630043.4655 -12016932.598 3600355.65888
-12016932.598 17766564.164 -9118977.2795
3600355.65888 -9118977.2795 6503241.06492
ICO %
LATERAL MA
222.850034201 3.34
-489.64039693 0
322.549702492 0
0 -1.00
0 0
Rdk =
Sen( k-
k)=
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1.00 0
NAL DEL PORTICO :%:
0 0 0
0 0 0
0 0 0
-4324.2677799 3433.22317579 -1007.2821546
2824.37571604 -4366.4943007 2213.17459413
-744.31911423 1987.94001154 -1457.9246553
14443.054385 -11466.965407 3364.32239633
-11466.965407 17727.966861 -8985.4888522
3364.32239633 -8985.4888522 6589.8194418
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ICO &
LATERAL MA
20361.6647426
Rdk =
0.82
-64511.896183 0
47547.8487834 0
0 -1.00
0 0
1.00 0
NAL DEL PORTICO :&:
0 0 0
0 0 0
0 0 0
-106320.16388 8950.0682674 -7533.8159548
73390.5597927 -13351.862193 23869.4015879
-16696.565089 6451.18961834 -17592.70405
87182.5343816 -7339.0559793 6177.72908291
-7339.0559793 1335.18621932 -2386.9401588
Sen( k-
k)=
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69/89
6177.72908291 -2386.9401588 6509.30049844
ICO )
LATERAL MA
20249.9252915
Rdk =
2.08
-43578.502252 0
28581.9391634 0
0 1.00
0 0
1.00 0
NAL DEL PORTICO :):
0 0 0
Sen( k-
k)=
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0 0 0
0 0 0
251032.866142 -106536.61624 18427.4320152
-161749.0232 132862.302599 -39656.437049
42119.8446063 -59702.548085 26009.5646387
522148.361576 -221596.16179 38329.0585917
-221596.16179 182021.354561 -54329.318757
38329.0585917 -54329.318757 23668.7038212
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ICO (
LATERAL MA
12704.1890939
Rdk =
7.52
-25742.536848 0
16286.1094535 0
0 1.00
0 0
1.00 0
NAL DEL PORTICO :(:
0 0 0
0 0 0
0 0 0
594679.201123 -333948.91731 80544.5588553
-369308.21444 399577.654608 -163207.68362
95535.5019861 -175049.25057 103253.933935
4471987.59245 -2511295.8582 605695.082592
-2511295.8582 2717128.05134 -1109812.2486
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
72/89
605695.082592 -1109812.2486 654629.941148
ICO +
LATERAL MA
26852.7586836 9.74
-76873.060173 0
55046.9851784 0
0 1.00
0 0
1.00 0
NAL DEL PORTICO :+:
0 0 0
Rdk =
7/24/2019 Trabajo Analisis Dinamico ULTIMO
73/89
0 0 0
0 0 0
1505216.20885 -983967.41221 229859.614331
-1062510.2655 1434651.88465 -658033.39508
261545.869578 -693395.00276 471202.193127
14660805.8742 -9583842.5949 2238832.64359
-9583842.5949 12940559.9996 -5935461.2236
2238832.64359 -5935461.2236 4033490.77316
7/24/2019 Trabajo Analisis Dinamico ULTIMO
74/89
7/24/2019 Trabajo Analisis Dinamico ULTIMO
75/89
3152793.62964 -17780860.28 14937558.8565
ICO B
LATERAL MA
5576.44707556 19.03
-16752.65378 0
12175.9074 0
0 1.00
0 0
0.00 0
NAL DEL PORTICO :%:
845567 -490766 105060
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
76/89
-492578 682479 -315620
106120 -317630 229394
0 0 0
0 0 0
0 0 0
16091139.0552 -9339269.5132 1999296.80305
-9339269.5132 12939799.43 -5984155.1472
1999296.80305 -5984155.1472 4321784.75764
7/24/2019 Trabajo Analisis Dinamico ULTIMO
77/89
ICO C
LATERAL MA
5576.44707556 14.78
-16752.65378 0
12175.9074 0
0 1.00
0 0
0.00 0
NAL DEL PORTICO :&:
656725 -380757 81360
-382569 529497 -244421
82420 -246432 177646
0 0 0
0 0 0
0 0 0
9706397.65017 -5627595.7629 1202506.16266
-5627595.7629 7788901.72359 -3595436.1263
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
78/89
1202506.16266 -3595436.1263 2591862.27402
ICO D
LATERAL MA
5576.44707556 10.53
-16752.65378 0
12175.9074 0
0 1.00
0 0
0.00 0
NAL DEL PORTICO :):
467883 -270749 57660 =
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
79/89
-272561 376515 -173222
58720 -175233 125899
0 0 0
0 0 0
0 0 0
4926811.58209 -2850990.9775 607164.672876
-2850990.9775 3938349.44352 -1811906.7233
607164.672876 -1811906.7233 1301794.44522
ICO E
LATERAL MA
5576.44707556 6.28
-16752.65378 0
12175.9074 0
0 1.00
0 0
0.00 0
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
80/89
NAL DEL PORTICO :(:
279042 -160741 33961
-162553 223533 -102024
35020 -104034 74151
0 0 0
0 0 0
0 0 0
1752380.85098 -1009455.1571 213272.333694
-1009455.1571 1388142.58977 -633566.93804
213272.333694 -633566.93804 451581.271242
ICO F
LATERAL MA
5576.44707556 2.03
-16752.65378 0
12175.9074 0
Rdk =
7/24/2019 Trabajo Analisis Dinamico ULTIMO
81/89
0 1.00
0 0
0.00 0
NAL DEL PORTICO :(:
90200 -51251 10261
-52545 71272 -30825
11320 -33170 22404
0 0 0
0 0 0
0 0 0
183105.456834 -104039.20271 20829.1451166
-104039.20271 141117.625173 -61033.268251
20829.1451166 -61033.268251 41222.7520935
ICO G
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
82/89
LATERAL MA
14269.6936126 2.22
-50899.635336 0
39265.4783021 0
0 -1.00
0 0
0.00 0
NAL DEL PORTICO :(:
-250110 163041 -34390
158057 -244040 122668
-31679 116560 -94630
0 0 0
0 0 0
0 0 0
555245.167135 -361950.35472 76345.7147659
-361950.35472 558851.480355 -280909.99746
76345.7147659 -280909.99746 228057.824526
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
83/89
CO !
LATERAL MA
17641.7614919 7.40
-53868.22629 0
39939.0407013 0
0 -1.00
0 0
0.00 0
NAL DEL PORTICO :(:
-892823 587662 -133901
582155 -845432 408860
-130549 402396 -303137
0 0 0
Rdk =
Sen( k-
k)=
0 0 0
7/24/2019 Trabajo Analisis Dinamico ULTIMO
84/89
0 0 0
0 0 0
6606889.78375 -4348696.1454 990867.175956
-4348696.1454 6315380.60074 -3054182.9864
990867.175956 -3054182.9864 2300812.25062
ICO I
2097.79039197 12.82
-7925.5370376 0
6183.39559647 0
0 -1.00
0 0
0.00 0
: :
Rdk =
Sen( k-
k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
85/89
-247792 143237 -27292
142459 -213973 103111
-26894 102160 -80446
0 0 0
0 0 0
0 0 0
3176697.64003 -1836302.6271 349886.683454
-1836302.6271 2758115.50186 -1329103.8431
349886.683454 -1329103.8431 1046602.157
ICO 3
LATERAL MA
2868.15161113 15.75
-11842.070746 0
9450.12918592 0
0 -1.00
Rdk =
0 0Sen( - )=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
86/89
0 0
0.00 0
NAL DEL PORTICO :(:
-432371 251755 -45718
250641 -388095 188763
-45173 187342 -150635
0 0 0
0 0 0
0 0 0
6809846.10609 -3965135.4676 720063.802731
-3965135.4676 6139670.60533 -2986224.4538
720063.802731 -2986224.4538 2401122.84402
ICO K
LATERAL MA
7228.44864757 18.25
Sen( k-
k)=
-36605 553273 0Rdk =
7/24/2019 Trabajo Analisis Dinamico ULTIMO
87/89
-36605.553273 0
30222.3053077 0
0 -1.00
0 0
0.00 0
NAL DEL PORTICO :(:
-1351166 832311 -133293
829131 -1366879 675006
-131919 670614 -557299
1.305202E-022 -8.039974E-023 1.287582E-023
0 0 0
0 0 0
24658787.9781 -15189683.714 2432589.82337
-15189683.714 25041224.9854 -12366117.291
2432589.82337 -12366117.291 10276599.2741
Rdk =
Sen( k-k)=
7/24/2019 Trabajo Analisis Dinamico ULTIMO
88/89
7/24/2019 Trabajo Analisis Dinamico ULTIMO
89/89