elementos finitos

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Elementos Finitos

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Page 1: Elementos finitos
Page 2: Elementos finitos
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EJERCICI0 N° 01: ANALIZAR LA ESTRUCTURA

i F1 F2 F3 F4 F5 F6 F7 H2 V2 V30 0 0 0 0 0 0 0 0 0 01 -400 0.00 0 -230.9468822 0 0 0 0 0 02 -400 -115.47 282.8854314 -230.9468822 -282.8 0 -115.4734411 282.8 282.8 03 -600 -315.47 282.8854314 -173.2101617 -201.1602771 100 -442.0323326 398.2734411 282.8 57.736720554 -600 -186.61 212.1640736 -9.930715935 -201.1602771 382.8 -318.891775 739.6734411 424.2 221.01616635 -550 227.83 12.16407355 -71.50099473 -292.2702079 276.160277 -237.2520521 610.8050808 424.2 159.44588756 -408.6 231.81 87.58113357 -112.3208562 -549.9290919 205.460277 -373.2449637 161.015358 388.85 118.62602617 -461.9198614 87.38 137.5811336 -44.32440036 -452.7697143 323.230139 -691.1824742 57.07042023 288.8802 186.62248198 -497.2698614 203.80 54.29268842 114.6443549 -388.3549933 598.564023 -544.9909696 239.1973544 326.577342 345.59123719 -438.3849307 617.50 -140.427173 41.54860257 -495.6550324 471.96218 -391.124697 147.7717151 351.569792 272.4954848

10 -300.7179887 592.02 -50.89263059 -35.3845337 -746.5115434 338.713988 -551.5756207 -307.5631233 309.938146 195.562348511 -364.0189102 357.00 43.34230012 44.84092813 -631.164692 477.664488 -879.7148343 -379.4108743 212.607618 275.787810312 -430.6430062 469.44 -54.92538014 208.910535 -509.7623566 761.833047 -706.4071249 -99.64144111 257.361369 439.857417213 -361.1677562 905.12 -255.8932437 122.2566802 -636.3600608 611.74857 -484.1848672 -164.97734 304.464605 353.203562414 -219.0834767 853.79 -149.751464 11.14555136 -895.265838 419.304095 -673.6985199 -649.7749541 255.345604 242.092433615 -294.1257149 530.75 -13.65211807 105.9023777 -758.5239756 583.422918 -1028.221495 -698.9014155 154.892018 336.8492621 -390.3479525 646.03 -129.7191784 283.1638651 -583.1879475 890.439814 -822.9425473 -322.8042753 207.94688 514.110747322 -308.2885409 1123.73 -346.8456961 180.5243915 -732.7164937 712.668246 -531.8452586 -370.0501521 275.976002 411.471273718 -154.7800929 1048.15 -221.1232291 34.97574709 -1012.439375 460.577994 -755.8307531 -905.7732075 217.959998 265.922629319 -243.665877 634.40 -42.84157989 146.9684944 -850.4718223 654.549432 -1151.610712 -938.7208232 109.429526 377.915376620 -369.711003 758.32 -180.0208149 344.8584737 -620.7925683 997.294876 -908.5848317 -462.1282155 172.271775 575.805355921 -272.7252839 1297.00 -422.415047 223.3455336 -797.5198113 786.834464 -544.4213039 -496.9369973 261.385679 454.292415822 -101.3525618 1197.15 -273.5745857 41.26376975 -1109.794948 471.468849 -809.2508029 -1104.182054 192.816776 272.21065223 -206.5827679 685.52 -50.5437406 173.6785192 -918.0446124 700.811195 -1260.886531 -1125.498408 71.6562612 404.625401424 -364.2655754 823.38 -212.7377619 399.4963833 -630.715219 1091.92774 -973.2584452 -539.4639493 146.054017 630.443265525 -249.5944024 1442.08 -489.3406901 255.6823404 -839.6688716 842.841814 -528.5603753 -565.8491177 257.535762 486.6292226

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EJERCICIO N° 03 RESUELVA EL SIGUIENTE SISTEMA LINEAL. USE EL METODO DE JACOBI CON VALOR INICIAL X (0)=[0]

Page 8: Elementos finitos
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EJERCICIO N° 03 RESUELVA EL SIGUIENTE SISTEMA LINEAL. USE EL METODO DE JACOBI CON VALOR INICIAL X (0)=[0]

I X1 X2 X3 X4 X5 ERROR0 0 0 0 0 0 1 -1.2 3 -2 1.416666667 -0.8 12 -1.205 2.32962963 -2.407142857 1.65 -0.452222222 0.2251143813 -1.265645503 2.34902116 -2.353068783 1.893745591 -0.705121693 0.0882413874 -1.25036336 2.22330227 -2.618076153 1.87108157 -0.650796855 0.0720504465 -1.199720726 2.21530372 -2.591885713 1.958993095 -0.769862596 0.0379674466 -1.18290612 2.15336234 -2.730221013 1.931195773 -0.770376093 0.036727887 -1.140500326 2.14212948 -2.732327601 1.971856719 -0.835213187 0.020832258 -1.125219168 2.10653553 -2.809786566 1.95825097 -0.846759437 0.0207552389 -1.097467756 2.09540582 -2.821653748 1.97876556 -0.884679907 0.012590166

10 -1.084967537 2.0738048 -2.867050698 1.973489414 -0.896894314 0.01247008911 -1.067259439 2.06447279 -2.88017142 1.9842959 -0.920031969 0.00814148212 -1.057688977 2.05093337 -2.907722269 1.982776253 -0.930273673 0.0078377113 -1.04627229 2.04373258 -2.919055114 1.988674444 -0.944818605 0.00546630214 -1.039237126 2.03504583 -2.936262743 1.988641538 -0.952687616 0.00508136615 -1.031769449 2.0297365 -2.945120373 1.991976694 -0.962039079 0.00373069216 -1.026726952 2.02406427 -2.956121441 1.992429783 -0.967822526 0.00336061217 -1.021782064 2.02025315 -2.962697686 1.994382842 -0.973938453 0.00256045418 -1.018225249 2.01650037 -2.969860502 1.994916208 -0.978081192 0.00225012919 -1.014920322 2.01380986 -2.974600531 1.996097943 -0.98213228 0.00175918620 -1.012437351 2.01130301 -2.979329246 1.996567546 -0.985052922 0.00151802421 -1.010213546 2.00942381 -2.98268422 1.997303405 -0.98776135 0.0012080222 -1.008492018 2.00773761 -2.98583801 1.997673695 -0.989799473 0.00102891323 -1.006988478 2.00643424 -2.988185258 1.99814295 -0.991622364 0.00082875624 -1.005800312 2.00529447 -2.99030421 1.998419196 -0.993035113 0.00069944325 -1.004780319 2.00439471 -2.991934009 1.998724126 -0.994267813 0.00056804826 -1.003962782 2.00362162 -2.993365157 1.998923813 -0.995242701 0.00047636527 -1.003269194 2.00300243 -2.994491108 1.999124822 -0.996079065 0.00038906428 -1.002707842 2.00247681 -2.995461281 1.999266415 -0.996749776 0.00032483129 -1.002235438 2.0020516 -2.996236519 1.999400332 -0.997318547 0.00026632430 -1.001850537 2.00169362 -2.996895893 1.99949951 -0.997779047 0.00022167831 -1.001528418 2.00140205 -2.997428439 1.999589416 -0.998166463 0.00018223132 -1.001264758 2.00115797 -2.997877382 1.999658333 -0.998482196 0.00015136433 -1.001044942 2.00095824 -2.998242642 1.999719023 -0.998746375 0.00012465334 -1.000864452 2.00079168 -2.998548689 1.999766659 -0.998962647 0.00010338935 -1.000714369 2.00065494 -2.998798947 1.999807784 -0.999142929 8.52502E-05

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EJERCICIO N° 04 RESUELVA EL SIGUIENTE SISTEMA LINEAL. USE EL METODO DE GAUS-SEIDEL CON VALOR INICIAL X (0)=[0]

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EJERCICIO N° 04 RESUELVA EL SIGUIENTE SISTEMA LINEAL. USE EL METODO DE GAUS-SEIDEL CON VALOR INICIAL X (0)=[0]

i x1 x2 x3 x4 x5 x6 ERROR0 0 0 0 0 0 0 1 0 1.25 0 1.5 0.5 1.5 1.00000002 0.6875 1.375 0.6875 1.625 1.5625 1.625 0.44820523 0.75 1.984375 0.75 2.0625 1.65625 2.0625 0.21736064 1.01171875 2.0390625 1.01171875 2.1015625 2.02734375 2.1015625 0.12108595 1.03515625 2.26269531 1.03515625 2.25976563 2.06054688 2.25976563 0.06861586 1.130615234 2.28271484 1.13061523 2.27392578 2.19555664 2.27392578 0.04030817 1.139160156 2.36419678 1.13916016 2.33154297 2.2076416 2.33154297 0.02381378 1.173934937 2.37149048 1.17393494 2.33670044 2.25682068 2.33670044 0.01423579 1.177047729 2.40117264 1.17704773 2.3576889 2.26122284 2.3576889 0.0085270

10 1.189715385 2.40382957 1.18971539 2.35956764 2.27913761 2.35956764 0.005128811 1.190849304 2.4146421 1.1908493 2.36721325 2.28074121 2.36721325 0.003087012 1.195463836 2.41560996 1.19546384 2.36789763 2.28726715 2.36789763 0.001860813 1.195876896 2.41954871 1.1958769 2.37068275 2.2878513 2.37068275 0.001122014 1.197557863 2.41990127 1.19755786 2.37093205 2.29022855 2.37093205 0.000676915 1.197708331 2.42133607 1.19770833 2.3719466 2.29044134 2.3719466 0.000408416 1.198320668 2.4214645 1.19832067 2.37203742 2.29130732 2.37203742 0.000246417 1.19837548 2.42198716 1.19837548 2.372407 2.29138483 2.372407 0.000148718 1.19859854 2.42203395 1.19859854 2.37244008 2.29170029 2.37244008 0.000089819 1.198618507 2.42222434 1.19861851 2.37257471 2.29172853 2.37257471 0.0000542