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Esfuerzos iniciales

sigma x= 10

sigma y= 50

tau xy= -41.66

Rotacin de esfuerzos

ngulo= 30

0.524

sigma x'= -16.0786183

sigma y'= 76.0786183

tau xy'= -3.50949192

Esfuerzos principales

Sigma I= 76.212

Sigma II= -16.212

ngulo = -32.178

Autor:

Marcelo Toms Pardo Aylln

marzellus81@gmail.com

Crculo de Mohr

ngulo SSx'-TTxy' SSy'-TTxy' tau xy' neg-tau xy'

0 0 10 50 -41.66 41.66

2 0.03490659 7.1426643 52.8573357 -40.1633889 40.1633889

4 0.06981317 4.39668724 55.6033128 -38.4711057 38.4711057

6 0.10471976 1.77544695 58.2245531 -36.5913952 36.5913952

8 0.13962634 -0.70828616 60.7082862 -34.5334151 34.533415110 0.17453293 -3.04241159 63.0424116 -32.3071917 32.3071917

12 0.20943951 -5.2155577 65.2155577 -29.9235709 29.9235709

14 0.2443461 -7.21713716 67.2171372 -27.3941655 27.3941655

16 0.27925268 -9.03739847 69.0373985 -24.7312984 24.7312984

18 0.31415927 -10.6674735 70.6674735 -21.9479429 21.9479429

20 0.34906585 -12.0994207 72.0994207 -19.0576593 19.0576593

22 0.38397244 -13.3262637 73.3262637 -16.0745287 16.0745287

24 0.41887902 -14.3420256 74.3420256 -13.0130846 13.0130846

26 0.45378561 -15.1417575 75.1417575 -9.88824199 9.88824199

28 0.48869219 -15.7215633 75.7215633 -6.71522491 6.71522491

30 0.52359878 -16.0786183 76.0786183 -3.50949192 3.50949192

32 0.55850536 -16.2111829 76.2111829 -0.28666105 0.28666105

34 0.59341195 -16.1186112 76.1186112 2.93756641 -2.93756641

36 0.62831853 -15.8013544 75.8013544 6.14748234 -6.14748234

38 0.66322512 -15.2609579 75.2609579 9.32744835 -9.32744835

40 0.6981317 -14.5000545 74.5000545 12.461972 -12.461972

42 0.73303829 -13.5223514 73.5223514 15.5357821 -15.5357821

44 0.76794487 -12.3326118 72.3326118 18.5339035 -18.5339035

46 0.80285146 -10.9366319 70.9366319 21.4417296 -21.4417296

-60

-40

-20

0

20

40

60

-40 -20 0 20 40 60

mailto:marzellus81@gmail.commailto:marzellus81@gmail.com

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48 0.83775804 -9.3412129 69.3412129 24.2450937 -24.2450937

50 0.87266463 -7.55412744 67.5541274 26.9303381 -26.9303381

52 0.90757121 -5.58408204 65.584082 29.4843807 -29.4843807

54 0.9424778 -3.44067458 63.4406746 31.8947783 -31.8947783

56 0.97738438 -1.13434751 61.1343475 34.1497878 -34.1497878

58 1.01229097 1.32366297 58.676337 36.2384229 -36.2384229

60 1.04719755 3.92138168 56.0786183 38.1505081 -38.1505081

62 1.08210414 6.6461528 53.3538472 39.8767278 -39.8767278

64 1.11701072 9.48470151 50.5152985 41.4086721 -41.4086721

66 1.15191731 12.4231987 47.5768013 42.7388776 -42.7388776

68 1.18682389 15.4473283 44.5526717 43.8608635 -43.8608635

70 1.22173048 18.542357 41.457643 44.7691637 -44.7691637

72 1.25663706 21.6932063 38.3067937 45.459353 -45.459353

74 1.29154365 24.8845254 35.1154746 45.928069 -45.928069

76 1.32645023 28.1007666 31.8992334 46.173028 -46.173028

78 1.36135682 31.3262606 28.6737394 46.1930366 -46.1930366

80 1.3962634 34.5452932 25.4547068 45.9879974 -45.9879974

82 1.43116999 37.7421817 22.2578183 45.5589094 -45.5589094

84 1.46607657 40.901351 19.098649 44.9078629 -44.907862986 1.50098316 44.00741 15.99259 44.0380298 -44.0380298

88 1.53588974 47.0452263 12.9547737 42.9536478 -42.9536478

90 1.57079633 50 10 41.66 -41.66

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esf-orig esf-rotado

10 -41.66 -16.0786183 -3.50949192

50 41.66 76.0786183 3.50949192

80 100

Crculo de Mohr

SSy'-TTxy'

SSx'-TTxy'

esf-orig

esf-rotado