trabajo analisis dinamico ultimo

7/24/2019 Trabajo Analisis Dinamico ULTIMO

1/89

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


3/89

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


4/89

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


5/89

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


6/89

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=


7/89

49137

-133790

90275

-338451

594825

-358942

20100488

-69597052

53276702

482039

-1312482

885594

-3320205

5835238

-3521217

197185790

-682747083

522644451


8/89

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


9/89

ODOS

0.0620483160.2284416375

0.9724754092

0.9931759402

1.1513855995

4.0749160125

4.2650686096

18.4410557894

20.0728012248


10/89

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


11/89


12/89


13/89

A#*#4013.5421192

5008.6564174

1566.74

4302.00538998 " .1&892.9&%9$()8 " .

L


14/89


15/89


16/89

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


17/89

-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


18/89

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


19/89

-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

$

%

&

)


20/89


21/89

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


22/89


23/89

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


24/89


25/89

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


26/89

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


27/89

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


28/89

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


29/89

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

$

%

&


30/89


31/89

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


32/89


33/89

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


34/89


35/89

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


36/89

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*+,


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=


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,


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


F- $ Kpk =

Cos k =

Sen k=


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


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=


40/89

0 0 0.00 0 0


"/$

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


41/89

POR


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


"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=


42/89

0 0 0 -7533.8159548 23869.4015879 -17592.70405

POR


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


0 0 0 0 0 0

F- $

Cos k =

Sen k=


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


44/89

POR


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


"$

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=


45/89


46/89

"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


47/89

POR


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


"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=


48/89

135429 -766086 646928 0 0 0

POR


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


44433 -25884 5576 0 0 0

F- $ Kpk =

Cos k =

Sen k=


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


50/89

POR


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


"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=


51/89

81360 -244421 177646 0 0 0

POR


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


44433 -25884 5576 0 0 0

F- $ Kpk =

Cos k =

Sen k=


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


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=


53/89


"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


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 =


54/89

1.00 0 0 0.00 0

0 1.00 0 0 0.00

0 0 1.00 0 0


"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=


55/89


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


"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=


56/89

POR


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


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=


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=


58/89

"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


&%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 =


59/89

0 1.00 0 0 0.00

0 0 1.00 0 0


"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


3%5&E+05 4.35E-05 4.41E-05 74036.5186055 -45431.846966

Cos k =

Sen k=


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


"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=


61/89


62/89


63/89

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*+,


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)=


65/89

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)=


66/89

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)=


67/89

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


68/89

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)=


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)=


70/89

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


71/89

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)=


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 =


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


74/89


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)=


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


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)=


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)=


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)=


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 =


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)=


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)=


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


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)=


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( - )=


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 =


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)=


88/89


89/89

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