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GRAFICO DEL CIRCULO DE MOHR Esfuerzos iniciales sigma x= 8 sigma y= 0 tau xy= -3 Rotación de esfuerzos ángulo= 15 0.262 sigma x'= 5.96410162 sigma y'= 2.03589838 tau xy'= -4.5980762 Esfuerzos principales Sigma I= 9.000 Sigma II= -1.000 ángulo = -18.435 esf-orig esf-ro 8 -3 5.96410162 0 3 2.03589838 Círculo ángulo SSx'-TTxy' 0 0 8 2 0.03490659 7.78098678 4 0.06981317 7.54355297 6 0.10471976 7.28885533 8 0.13962634 7.01813472 10 0.17453293 6.73271005 12 0.20943951 6.4339719 14 0.2443461 6.12337568 16 0.27925268 5.80243459 18 0.31415927 5.47271222 20 0.34906585 5.13581494 22 0.38397244 4.79338409 24 0.41887902 4.44708795 26 0.45378561 4.09861364 28 0.48869219 3.7496589 30 0.52359878 3.40192379 32 0.55850536 3.05710245 34 0.59341195 2.71687481 36 0.62831853 2.38289843 38 0.66322512 2.0568004 40 0.6981317 1.74016945 -2 0 2 4 6 -6 -4 -2 0 2 4 6

Transformación de Esfuerzo

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Page 1: Transformación de Esfuerzo

GRAFICO DEL CIRCULO DE MOHR

Esfuerzos inicialessigma x= 8sigma y= 0

tau xy= -3

Rotación de esfuerzosángulo= 15

0.262sigma x'= 5.964101615sigma y'= 2.035898385

tau xy'= -4.59807621

Esfuerzos principalesSigma I= 9.000

Sigma II= -1.000ángulo = -18.435

esf-orig esf-rotado8 -3 5.964101615 -4.598076210 3 2.035898385 4.598076211

Círculo de Mohrángulo SSx'-TTxy' SSy'-TTxy'

0 0 8 02 0.034906585 7.78098678 0.219013224 0.06981317 7.543552972 0.4564470286 0.104719755 7.28885533 0.711144678 0.13962634 7.018134716 0.981865284

10 0.174532925 6.732710053 1.26728994712 0.20943951 6.433971901 1.56602809914 0.244346095 6.123375683 1.87662431716 0.27925268 5.802434592 2.19756540818 0.314159265 5.472712221 2.52728777920 0.34906585 5.135814943 2.86418505722 0.383972435 4.79338409 3.2066159124 0.41887902 4.447087949 3.55291205126 0.453785606 4.09861364 3.9013863628 0.488692191 3.749658896 4.25034110430 0.523598776 3.401923789 4.59807621132 0.558505361 3.057102448 4.94289755234 0.593411946 2.71687481 5.2831251936 0.628318531 2.382898429 5.61710157138 0.663225116 2.056800404 5.94319959640 0.698131701 1.740169452 6.259830548

-2 0 2 4 6 8 10

-6

-4

-2

0

2

4

6

Círculo de Mohr

SSy'-TTxy'SSx'-TTxy'esf-origesf-rotado

Page 2: Transformación de Esfuerzo

42 0.733038286 1.434548167 6.56545183344 0.767944871 1.141425506 6.85857449446 0.802851456 0.862229532 7.13777046848 0.837758041 0.598320461 7.40167953950 0.872664626 0.35098403 7.6490159752 0.907571211 0.121425239 7.87857476154 0.942477796 -0.08923753 8.08923752656 0.977384381 -0.27997794 8.27997793758 1.012290966 -0.44986673 8.44986672660 1.047197551 -0.59807621 8.59807621162 1.082104136 -0.72388433 8.72388433264 1.117010721 -0.82667816 8.82667816266 1.151917306 -0.9059569 8.90595690268 1.186823891 -0.96133431 8.96133431370 1.221730476 -0.9925406 8.99254060272 1.256637061 -0.99942373 8.99942373474 1.291543646 -0.98195018 8.98195017776 1.326450232 -0.94020506 8.9402050678 1.361356817 -0.87439176 8.8743917680 1.396263402 -0.78483091 8.78483091382 1.431169987 -0.67195885 8.67195885184 1.466076572 -0.53632548 8.53632547586 1.500983157 -0.37859158 8.37859157888 1.535889742 -0.19952562 8.19952562290 1.570796327 -3.6739E-16 8

Page 3: Transformación de Esfuerzo

GRAFICO DEL CIRCULO DE MOHR

Círculo de Mohrtau xy' neg-tau xy'

-3 3-3.27171805 3.271718046-3.52749661 3.52749661-3.76608957 3.766089565-3.98633451 3.986334511-4.18715844 4.187158436-4.36758295 4.367582945-4.52672903 4.52672903-4.66382135 4.663821345-4.77819199 4.778191992-4.86928377 4.869283768-4.93665288 4.936652883-4.97997112 4.979971121-4.99902744 4.99902744

-4.993729 4.993729001-4.96410162 4.964101615-4.91028963 4.910289626-4.8325552 4.832555199

-4.73127705 4.731277048-4.60694859 4.606948592-4.46017555 4.460175545

-2 0 2 4 6 8 10

-6

-4

-2

0

2

4

6

Círculo de Mohr

SSy'-TTxy'SSx'-TTxy'esf-origesf-rotado

Page 4: Transformación de Esfuerzo

-4.29167297 4.291672971-4.1022618 4.102261798

-3.89286482 3.892864818-3.66450219 3.664502192-3.41828648 3.418286479-3.15541722 3.155417218-2.87717508 2.877175082-2.58491564 2.584915638-2.28006274 2.280062745-1.96410162 1.964101615-1.63857158 1.63857158-1.30505859 1.305058588-0.96518748 0.965187483-0.62061408 0.620614081-0.27301711 0.2730171090.075909974 -0.075909970.424467232 -0.424467230.770956527 -0.770956531.113689801 -1.11368981.450997289 -1.450997291.781235665 -1.781235662.102796039 -2.102796042.414111802 -2.41411182.713666256 -2.71366626

3 -3