a 1

0.00980665K 0.26RMR 50h 460γ 2.71

12.2249699 Mpa3.17849217 Mpa

90 80-100 S 0.00386592015 15-20 2.5151587313

ESFUERZORADIAL TANG. CORTE MAX. MIN.

θ r

0

1 0 33.4964175 0 33.4964175 01.2 3.85058253 24.1174319 0 24.1174319 3.850582531.4 4.94782871 19.6867331 0 19.6867331 4.947828711.6 5.16698978 17.304033 0 17.304033 5.166989781.8 5.09301078 15.8946968 0 15.8946968 5.093010782 4.92819099 14.9985099 0 14.9985099 4.92819099

2.2 4.74617067 14.3955053 0 14.3955053 4.746170672.4 4.57352183 13.9710783 0 13.9710783 4.573521832.6 4.41870961 13.6612251 0 13.6612251 4.418709612.8 4.28313416 13.4281028 0 13.4281028 4.283134163 4.1655453 13.2482451 0 13.2482451 4.1655453

3.2 4.06384928 13.106503 0 13.106503 4.063849283.4 3.97584282 12.9927538 0 12.9927538 3.975842823.6 3.89949359 12.9000298 0 12.9000298 3.899493593.8 3.83302772 12.8234091 0 12.8234091 3.833027724 3.77493699 12.7593348 0 12.7593348 3.77493699

4.2 3.7239551 12.7051847 0 12.7051847 3.72395514.4 3.67902468 12.6589909 0 12.6589909 3.679024684.6 3.63926407 12.6192526 0 12.6192526 3.639264074.8 3.60393753 12.5848091 0 12.5848091 3.603937535 3.5724296 12.5547507 0 12.5547507 3.5724296

10

1 0 32.4052788 0 32.4052788 01.2 3.76028575 23.4499935 1.4575110944 23.5572995 3.652979741.4 4.87693424 19.2009241 1.9175291452 19.4531783 4.624680091.6 5.13841931 16.9063774 2.0474847048 17.2524387 4.792357981.8 5.10698054 15.5439558 2.0598888862 15.935794 4.71514239

Factor de Conversión de Tn/m2 a

MPa

𝝈_𝑽𝒎_𝒊𝝈_𝑯

𝝈_𝒓 𝝉_𝒓𝜽 𝝈_𝟏𝝈_𝜽 𝝈_𝟑

𝒎_𝒃𝝈_𝒄

10

2 4.97933811 14.6745781 2.0304884289 15.0826506 4.571265682.2 4.82844765 14.0877865 1.9881894759 14.4966423 4.419591852.4 4.68153857 13.6736278 1.9443180094 14.0760309 4.27913552.6 4.54799127 13.3705324 1.9031810994 13.7635731 4.154950622.8 4.430057 13.1420041 1.8661840162 13.524928 4.047133183 4.32719548 12.9653573 1.8335274702 13.3384276 3.95412519

3.2 4.23788188 12.8259138 1.804933684 13.1898329 3.873962823.4 4.1603622 12.7138452 1.7799624143 13.0694664 3.804741023.6 4.09295774 12.6223729 1.7581473502 12.9705617 3.744768953.8 4.03417348 12.5466997 1.739052006 12.8882706 3.692602594 3.9827222 12.4833534 1.7222892924 12.8190451 3.64703048

4.2 3.93751378 12.4297701 1.7075249576 12.7602396 3.607044314.4 3.89763227 12.3840228 1.6944742636 12.7098481 3.571806954.6 3.86231037 12.3446402 1.6828962312 12.6663274 3.540623164.8 3.83090537 12.3104828 1.6725874254 12.6284739 3.512914255 3.8028781 12.2806566 1.6633761209 12.5953376 3.48819708

20

1 0 29.26347 0 29.26347 01.2 3.50028653 21.5281811 2.7392248403 21.9351997 3.093267921.4 4.67280172 17.802093 3.6037759757 18.7262239 3.748670851.6 5.05615393 15.7613737 3.8480125365 17.0010042 3.816523451.8 5.14720489 14.5340374 3.8713247721 15.9246422 3.756600142 5.1266104 13.7418537 3.8160699864 15.1890556 3.67940847

2.2 5.06535475 13.2017453 3.7365739584 14.6573348 3.60976532.4 4.99256036 12.8171531 3.6541225719 14.2582365 3.551476982.6 4.92024297 12.5335161 3.5768104703 13.9502937 3.503465422.8 4.85310446 12.3182158 3.5072786982 13.7074738 3.463846413 4.79264862 12.1508143 3.4459044674 13.5125556 3.43090731

3.2 4.73898877 12.0179897 3.3921657277 13.353703 3.403275473.4 4.69166459 11.9107601 3.3452350921 13.2225366 3.379888053.6 4.65001555 11.8228916 3.3042361824 13.1129804 3.359926683.8 4.61334962 11.7499468 3.2683486745 13.0205384 3.342758064 4.58101585 11.6886967 3.2368450778 12.941825 3.32788761

4.2 4.55243147 11.6367453 3.209097205 12.8742516 3.314925174.4 4.52708776 11.5922838 3.1845699233 12.8158118 3.30355984.6 4.5045466 11.5539253 3.16281034 12.7649306 3.293541254.8 4.48443324 11.5205917 3.1434361226 12.7203586 3.284666335 4.46642811 11.4914343 3.1261245329 12.6810937 3.27676865

30

1 0 24.4499398 0 24.4499398 01.2 3.10194462 18.5837936 3.6905476438 19.4185355 2.267202731.4 4.36005257 15.6589593 4.8553542376 17.4587199 2.560292011.6 4.93011606 14.0071264 5.1844132657 16.3589166 2.578325871.8 5.20883216 12.9867527 5.2158217557 15.6038518 2.591733052 5.35224463 12.3128369 5.1413771844 15.041101 2.62398049

2.2 5.42831748 11.8442515 5.0342724756 14.6057863 2.666782712.4 5.46907339 11.5049577 4.923186023 14.2615922 2.7124389

30

2.6 5.49056566 11.2511328 4.8190237103 13.9850297 2.756668692.8 5.50125077 11.0560988 4.7253438072 13.7598205 2.797529073 5.50576422 10.902862 4.6426545298 13.5742673 2.834359

3.2 5.50672907 10.7801781 4.5702525216 13.4197709 2.867136283.4 5.50566707 10.6803623 4.5070230473 13.2899007 2.896128653.6 5.50347763 10.5980151 4.4517853657 13.1797785 2.92171423.8 5.50069894 10.5292505 4.4034342571 13.0856567 2.944292724 5.49765492 10.471212 4.360989576 13.0046225 2.96424446

4.2 5.49454003 10.4217609 4.3236049682 12.9343876 2.98191334.4 5.49146951 10.3792693 4.290559451 12.8731368 2.997601984.6 5.48850958 10.3424798 4.2612428438 12.8194163 3.011573064.8 5.48569602 10.3104083 4.2351400312 12.7720519 3.024052445 5.4830457 10.2822755 4.2118161895 12.7300875 3.03523372

40

1 0 18.5452708 0 18.5452708 01.2 2.61330592 14.9719678 4.1967359348 16.2623573 1.322916421.4 3.97640894 13.0300168 5.5213051209 15.6430142 1.363411461.6 4.77550772 11.8552234 5.8954972413 15.1919549 1.43877621.8 5.28442921 11.0887269 5.9312136583 14.7897412 1.583414922 5.62902599 10.5598883 5.8465584153 14.4395809 1.74933333

2.2 5.87355719 10.1790389 5.7247634343 14.1424414 1.910154692.4 6.05360316 9.89531181 5.5984405813 13.8932596 2.055655382.6 6.19017001 9.67805666 5.4799915697 13.6849086 2.183318092.8 6.29631992 9.50788305 5.3734627144 13.5103665 2.293836523 6.38052999 9.37202193 5.2794319376 13.3635027 2.38904919

3.2 6.44850197 9.26177735 5.1970994116 13.239234 2.471045323.4 6.50418894 9.17105589 5.1251975064 13.133441 2.541803843.6 6.55040385 9.09548172 5.0623835326 13.0428166 2.6030693.8 6.58919402 9.03184482 5.0074006805 12.9647116 2.656327214 6.62207918 8.97774592 4.9591343701 12.8970005 2.70282465

4.2 6.65020727 8.93136186 4.9166221626 12.8379709 2.743598224.4 6.67445886 8.89128671 4.8790441869 12.786237 2.779508564.6 6.69551886 8.85642188 4.8457065713 12.7406705 2.811270214.8 6.71392664 8.82589864 4.816023548 12.7003476 2.839477655 6.73011178 8.79902263 4.7895006538 12.6645075 2.86462695

50

1 0 12.2616533 0 12.2616533 01.2 2.09330749 11.128343 4.1967359348 12.7769065 0.444743891.4 3.56814391 10.2323545 5.5213051209 13.3491046 0.451393811.6 4.61097697 9.56521605 5.8954972413 13.4828607 0.693332331.8 5.3648779 9.06889011 5.9312136583 13.430516 1.003252052 5.92357056 8.69443932 5.8465584153 13.3174718 1.3005381

2.2 6.34737139 8.40695664 5.7247634343 13.1938116 1.560516422.4 6.67564674 8.18236241 5.5984405813 13.0779058 1.780103362.6 6.93467341 8.00402405 5.4799915697 12.9753623 1.963335172.8 7.14241484 7.86030631 5.3734627144 12.8867987 2.115922473 7.31143629 7.74293592 5.2794319376 12.8110246 2.24334757

503.2 7.45071575 7.64592905 5.1970994116 12.7463383 2.35030653.4 7.56679371 7.56488559 5.1251975064 12.6910372 2.440642053.6 7.66451947 7.49651908 5.0623835326 12.6435997 2.517438883.8 7.74754629 7.43833899 5.0074006805 12.6027294 2.583155834 7.8186665 7.38843252 4.9591343701 12.5673473 2.63975167

4.2 7.88004266 7.34531233 4.9166221626 12.5365639 2.688791064.4 7.93336983 7.30780872 4.8790441869 12.5096489 2.731529674.6 7.97999131 7.27499208 4.8457065713 12.4860026 2.76898084.8 8.02098238 7.24611646 4.816023548 12.4651317 2.801967165 8.0572118 7.22057792 4.7895006538 12.4466288 2.83116092

60

1 0 6.35698434 0 6.35698434 01.2 1.60466879 7.51651708 3.6905476438 9.28897844 -0.167792571.4 3.18450028 7.60341193 4.8553542376 10.7283876 0.059524571.6 4.45636863 7.41331307 5.1844132657 11.3259466 0.543735121.8 5.44047494 7.17086437 5.2158217557 11.5927632 1.018576082 6.20035192 6.94149072 5.1413771844 11.7256358 1.41620687

2.2 6.7926111 6.741744 5.0342724756 11.8015143 1.732840832.4 7.26017651 6.5727165 4.923186023 11.8516173 1.98127572.6 7.63427776 6.43094796 4.8190237103 11.8890509 2.176174842.8 7.93748399 6.31209061 4.7253438072 11.9195084 2.330066243 8.18620206 6.21209581 4.6426545298 11.9455702 2.45272766

3.2 8.39248865 6.12752832 4.5702525216 11.9684816 2.551535333.4 8.56531557 6.05557921 4.5070230473 11.9889034 2.631991353.6 8.7114457 5.99398568 4.4517853657 12.0072339 2.698197433.8 8.83604137 5.94093331 4.4034342571 12.0237485 2.753226194 8.94309077 5.89496644 4.360989576 12.0386601 2.79939706

4.2 9.03570989 5.85491329 4.3236049682 12.0521464 2.838476824.4 9.11635918 5.81982614 4.290559451 12.064361 2.871824294.6 9.18700059 5.78893417 4.2612428438 12.0754399 2.900494834.8 9.249213 5.7616068 4.2351400312 12.0855038 2.925315985 9.30427788 5.73732507 4.2118161895 12.0946602 2.94694274

70

1 0 1.54345409 0 1.54345409 01.2 1.20632688 4.57212965 2.7392248403 6.10411703 -0.325660511.4 2.87175112 5.4602783 3.6037759757 7.99515554 0.336873881.6 4.33033076 5.65906569 3.8480125365 8.89964183 1.089754611.8 5.50210221 5.62357961 3.8713247721 9.43464213 1.691039692 6.42598615 5.51247392 3.8160699864 9.81253802 2.12592205

2.2 7.15557383 5.38425022 3.7365739584 10.1100138 2.429810232.4 7.73668954 5.26052114 3.6541225719 10.3567738 2.640436832.6 8.20460045 5.14856458 3.5768104703 10.5661084 2.787056582.8 8.5856303 5.04997361 3.5072786982 10.7454248 2.890179143 8.89931765 4.96414352 3.4459044674 10.8998103 2.96365089

3.2 9.16022895 4.88971671 3.3921657277 11.0332277 3.016717973.4 9.37931806 4.82518138 3.3452350921 11.1489321 3.055567373.6 9.56490778 4.76910923 3.3042361824 11.2496422 3.08437483

70

3.8 9.72339069 4.72023702 3.2683486745 11.3376357 3.105991984 9.85972983 4.67748173 3.2368450778 11.4148197 3.12239186

4.2 9.97781846 4.63992887 3.209097205 11.4827892 3.134958094.4 10.0807409 4.60681163 3.1845699233 11.5428787 3.144673864.6 10.1709636 4.57748866 3.16281034 11.5962055 3.152246774.8 10.2504758 4.55142343 3.1434361226 11.643707 3.158192245 10.3208955 4.52816627 3.1261245329 11.6861717 3.16289005

80

1 0 -1.59835465 0 0 -1.598354651.2 0.94632766 2.65031724 1.4575110944 3.48658597 0.110058931.4 2.66761861 4.06144717 1.9175291452 5.40477982 1.324285961.6 4.24806538 4.51406202 2.0474847048 6.43286344 2.329263961.8 5.54232656 4.61366121 2.0598888862 7.18956843 2.966419342 6.57325843 4.57974945 2.0304884289 7.83845062 3.31455726

2.2 7.39248093 4.49820908 1.9881894759 8.40443016 3.486259862.4 8.04771133 4.40404644 1.9443180094 8.89035744 3.561400332.6 8.57685215 4.31154827 1.9031810994 9.30257432 3.585826092.8 9.00867775 4.22618524 1.8661840162 9.6506973 3.584165693 9.3647708 4.14960052 1.8335274702 9.94486871 3.5695026

3.2 9.66133584 4.08179255 1.804933684 10.1943058 3.548822653.4 9.91062044 4.02209623 1.7799624143 10.4068446 3.52587213.6 10.1219656 3.9696279 1.7581473502 10.5889446 3.502648873.8 10.3025668 3.9234841 1.739052006 10.7458585 3.480192414 10.4580235 3.88282503 1.7222892924 10.8818376 3.45901091

4.2 10.5927362 3.8469041 1.7075249576 11.0003233 3.439316994.4 10.7101964 3.81507263 1.6944742636 11.104109 3.421160064.6 10.8131998 3.78677376 1.6828962312 11.195472 3.404501524.8 10.9040036 3.76153234 1.6725874254 11.2762782 3.389257785 10.9844455 3.73894391 1.6633761209 11.3480644 3.375325

90

1 0 -2.68949338 0 0 -2.689493381.2 0.85603088 1.9828788 5.2188046E-16 1.9828788 0.856030881.4 2.59672413 3.57563822 6.865958E-16 3.57563822 2.596724131.6 4.21949492 4.11640643 7.3312804E-16 4.21949492 4.116406431.8 5.55629633 4.26292023 7.3756952E-16 5.55629633 4.262920232 6.62440556 4.25581764 7.2704231E-16 6.62440556 4.25581764

2.2 7.4747579 4.19049023 7.1189663E-16 7.4747579 4.190490232.4 8.15572807 4.1065959 6.9618789E-16 8.15572807 4.10659592.6 8.7061338 4.02085556 6.814583E-16 8.7061338 4.020855562.8 9.1556006 3.94008654 6.6821102E-16 9.1556006 3.940086543 9.52642098 3.8667127 6.5651792E-16 9.52642098 3.8667127

3.2 9.83536844 3.80120344 6.4627955E-16 9.83536844 3.801203443.4 10.0951398 3.74318768 6.3733827E-16 10.0951398 3.743187683.6 10.3154297 3.69197095 6.2952711E-16 10.3154297 3.691970953.8 10.5037126 3.64677472 6.2268978E-16 10.5037126 3.646774724 10.6658087 3.60684366 6.1668767E-16 10.6658087 3.60684366

4.2 10.8062948 3.57148949 6.1140112E-16 10.8062948 3.57148949

90

4.4 10.928804 3.54010456 6.0672815E-16 10.928804 3.540104564.6 11.0362461 3.51216136 6.0258249E-16 11.0362461 3.512161364.8 11.1309715 3.48720604 5.9889129E-16 11.1309715 3.487206045 11.214894 3.46484987 5.9559306E-16 11.214894 3.46484987

ESF. Resistencia ESFUERZOMAX. MIN.

α F.S. / /0 0 0 2.74 00 169 7.00988824 1.97280093 0.314976850 192 9.76408891 1.61037068 0.404731360 197 11.3583264 1.41546631 0.422658690 195 12.2742762 1.3001829 0.416607220 192 12.7900279 1.226875 0.4031250 188 13.0711132 1.17754935 0.388235780 185 13.2148467 1.14283131 0.374113140 181 13.2782571 1.11748538 0.361449530 179 13.2949155 1.09841602 0.350359490 176 13.284736 1.0837037 0.340740740 174 13.2596193 1.07210922 0.332422030 172 13.2267122 1.06280456 0.325223120 170 13.1903083 1.05521976 0.318977770 169 13.1529705 1.0489522 0.313540870 167 13.1162022 1.04371094 0.308789060 166 13.0808552 1.03928147 0.304618750 165 13.047379 1.03550283 0.300943460 164 13.0159762 1.03225224 0.297691050 163 12.9866989 1.02943477 0.294801340 163 12.9595096 1.026976 0.2922240 0 0 2.65074508 0

0.12703866 165 6.98585937 1.92698221 0.298812980.25132714 186 9.54502258 1.59126594 0.378297870.35933864 189 10.9608722 1.41124591 0.392013890.44631819 188 11.7680809 1.30354464 0.38569767

Inclinación de un punto

Factor de Seguridad𝝈_𝟏^′ 𝝈_𝟏𝝈_𝑽 𝝈_𝑽𝝈_𝟑

0.51401117 185 12.2378349 1.23375769 0.373928580.56634444 181 12.514333 1.18582233 0.36152170.6070937 178 12.676879 1.1514164 0.3500324

0.63922954 176 12.7706798 1.12585742 0.33987410.66493548 173 12.8223305 1.1063363 0.331054650.68578607 171 12.8478838 1.09108061 0.323446620.70291824 170 12.8572282 1.07892559 0.316889350.71716126 168 12.8565537 1.06907964 0.311227030.72912816 167 12.8497829 1.06098925 0.306321320.73927866 165 12.8394224 1.05425786 0.302054130.74796245 164 12.8270822 1.04859523 0.298326340.75544908 164 12.8137962 1.04378495 0.295055480.76194896 163 12.8002254 1.03966294 0.292173070.76762822 162 12.7867866 1.03610295 0.289622240.77261942 161 12.7737365 1.03300654 0.287355660.77702941 161 12.7612262 1.03029601 0.2853338

0 0 0 2.39374578 00.26610044 151 6.89158277 1.79429478 0.253028670.4561217 167 8.90503405 1.53180122 0.3066405

0.57003086 168 9.89907202 1.39067862 0.312190830.64048344 167 10.4829922 1.30263242 0.307289110.68730174 165 10.8746365 1.2424616 0.300974850.72041421 164 11.1596093 1.19896694 0.295278050.74497175 162 11.3769409 1.16632078 0.290510080.76384578 161 11.5474978 1.14113113 0.286582740.77875196 160 11.6839758 1.12126851 0.28334192-0.78001839 159 11.794811 1.10532425 0.28064751-0.77014861 159 11.8859282 1.09233013 0.27838723-0.76193351 158 11.9616362 1.08160075 0.27647414-0.75501419 158 12.0251431 1.07263908 0.27484131-0.74912682 157 12.0788788 1.06507734 0.27343692-0.74407308 157 12.1247095 1.0586386 0.27222052-0.73970105 157 12.1640852 1.05311111 0.27116019-0.73589248 156 12.1981445 1.04833074 0.27023051

-0.732554 156 12.2277901 1.04416868 0.26941099-0.72961105 156 12.2537439 1.04052269 0.26868502-0.72700338 156 12.2765884 1.03731084 0.268039

0 0 0 2 00.42983145 129 6.64507716 1.58843218 0.185456710.61544604 137 7.86287995 1.42811966 0.209431360.70029153 138 8.42155197 1.33815598 0.210906520.74894979 138 8.85242364 1.27639184 0.212003230.78112573 139 9.24166197 1.23035894 0.21464106-0.76650084 140 9.59588128 1.19475029 0.21814227-0.74890082 141 9.91284676 1.16659528 0.22187694

-0.73504859 143 10.1925529 1.14397253 0.22549493-0.72387009 144 10.4373592 1.12555046 0.2288373-0.71467999 145 10.6508098 1.11037224 0.23184998-0.70701428 145 10.8367673 1.09773447 0.23453115-0.70054445 146 10.9989455 1.08711112 0.23690272-0.69502988 147 11.1407014 1.07810315 0.23899562-0.69028955 147 11.264971 1.070404 0.24084253-0.68618444 148 11.3742746 1.06377542 0.24247458-0.68260588 148 11.4707544 1.05803022 0.24391989-0.67946776 149 11.556222 1.05301992 0.24520322-0.67670097 149 11.6322063 1.04862559 0.24634605-0.67424951 149 11.699998 1.04475119 0.24736686-0.67206754 150 11.7606876 1.04131851 0.24828149

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000000000

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