Circulo De Mohr Carga Distri.xlsx

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Sigma x Sigmay Tau xy

ELEMENTO 9 -3181.945812 74.61677043 -170.4033043

centro radio

-1553.66 1637.17

Sigmamax Sigmamin Taumax

83.51 3,190.84 1,637.17

-

PG 278

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 83.5090343 0 10 0.17453293 58.6366893 284.292204 20 0.34906585 -15.224612 559.946334 30 0.52359878 -135.83063 818.586777 40 0.6981317 -299.51682 1052.35488 50 0.87266463 -501.30964 1254.1477 60 1.04719755 -735.07774 1417.83389 70 1.22173048 -993.71819 1538.43991 80 1.3962634 -1269.3723 1612.30121 90 1.57079633 -1553.6645 1637.17355 100 1.74532925 -1837.9567 1612.30121 110 1.91986218 -2113.6109 1538.43991 120 2.0943951 -2372.2513 1417.83389 130 2.26892803 -2606.0194 1254.1477 140 2.44346095 -2807.8122 1052.35488 150 2.61799388 -2971.4984 818.586777 160 2.7925268 -3092.1044 559.946334 170 2.96705973 -3165.9657 284.292204 180 3.14159265 -3190.8381 2.005E-13 190 3.31612558 -3165.9657 -284.2922 200 3.4906585 -3092.1044 -559.94633 210 3.66519143 -2971.4984 -818.58678 220 3.83972435 -2807.8122 -1052.3549 230 4.01425728 -2606.0194 -1254.1477 240 4.1887902 -2372.2513 -1417.8339 250 4.36332313 -2113.6109 -1538.4399 260 4.53785606 -1837.9567 -1612.3012 270 4.71238898 -1553.6645 -1637.1736 280 4.88692191 -1269.3723 -1612.3012 290 5.06145483 -993.71819 -1538.4399 300 5.23598776 -735.07774 -1417.8339 310 5.41052068 -501.30964 -1254.1477 320 5.58505361 -299.51682 -1052.3549 330 5.75958653 -135.83063 -818.58678 340 5.93411946 -15.224612 -559.94633 350 6.10865238 58.6366893 -284.2922 360 6.28318531 83.5090343 -4.0099E-13

PUNTO GAUSS 278

Circulo de Mohor

-3500

-3000

-2500

-2000

-1500

-1000

-500

8

r 2000

1500

1000

500

-1000

-500

0

-500

-1000

-1500

-2000

0

500

Sigma x Sigmay Tau xy centro radio Sigmamax Sigmamin Taumax

ELEMENTO 9 3366.2536596 26.20026156 -90.70244109 1696.23 1672.49 3,368.71 23.74 1,672.49

PG 276

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 3368.71496 0 10 0.17453293 3343.30611 290.424493 20 0.34906585 3267.85159 572.024585 30 0.52359878 3144.64406 836.244 40 0.6981317 2977.4271 1075.05456 50 0.87266463 2771.28152 1281.20014 60 1.04719755 2532.47096 1448.4171 70 1.22173048 2268.25155 1571.62463 80 1.3962634 1986.65145 1647.07915 90 1.57079633 1696.22696 1672.488 100 1.74532925 1405.80247 1647.07915 110 1.91986218 1124.20238 1571.62463 120 2.0943951 859.982961 1448.4171 130 2.26892803 621.172397 1281.20014 140 2.44346095 415.026822 1075.05456 150 2.61799388 247.809866 836.244 160 2.7925268 124.602329 572.024585 170 2.96705973 49.1478119 290.424493 180 3.14159265 23.7389611 2.0482E-13 190 3.31612558 49.1478119 -290.42449 200 3.4906585 124.602329 -572.02459 210 3.66519143 247.809866 -836.244 220 3.83972435 415.026822 -1075.0546 230 4.01425728 621.172397 -1281.2001 240 4.1887902 859.982961 -1448.4171 250 4.36332313 1124.20238 -1571.6246 260 4.53785606 1405.80247 -1647.0791 270 4.71238898 1696.22696 -1672.488 280 4.88692191 1986.65145 -1647.0791 290 5.06145483 2268.25155 -1571.6246 300 5.23598776 2532.47096 -1448.4171 310 5.41052068 2771.28152 -1281.2001 320 5.58505361 2977.4271 -1075.0546 330 5.75958653 3144.64406 -836.244 340 5.93411946 3267.85159 -572.02459 350 6.10865238 3343.30611 -290.42449 360 6.28318531 3368.71496 -4.0964E-13

PUNTO GAUSS 276

Circulo de Mohor 2000

1500

1000

500

0

-500

-1000

-1500

-2000

0

500

1000

1500

2000

2500

3000

6

r

2500

3000

3500

4000

Sigma x Sigmay Tau xy

ELEMENTO 9 3337.5171901 -55.06553049 304.08046024

centro radio Sigmamax Sigmamin Taumax

1641.23 1723.33

-

3,364.56 82.11 1,723.33

PG 270

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 3364.5567 0 10 0.17453293 3338.37544 299.253266 20 0.34906585 3260.62714 589.413873 30 0.52359878 3133.67415 861.665438 40 0.6981317 2961.37387 1107.73573 50 0.87266463 2748.96156 1320.14804 60 1.04719755 2502.89127 1492.44832 70 1.22173048 2230.6397 1619.40131 80 1.3962634 1940.4791 1697.14961 90 1.57079633 1641.22583 1723.33088 100 1.74532925 1341.97256 1697.14961 110 1.91986218 1051.81196 1619.40131 120 2.0943951 779.560392 1492.44832 130 2.26892803 533.490096 1320.14804 140 2.44346095 321.077789 1107.73573 150 2.61799388 148.777513 861.665438 160 2.7925268 21.8245232 589.413873 170 2.96705973 -55.923777 299.253266 180 3.14159265 -82.105045 2.1105E-13 190 3.31612558 -55.923777 -299.25327 200 3.4906585 21.8245232 -589.41387 210 3.66519143 148.777513 -861.66544 220 3.83972435 321.077789 -1107.7357 230 4.01425728 533.490096 -1320.148 240 4.1887902 779.560392 -1492.4483 250 4.36332313 1051.81196 -1619.4013 260 4.53785606 1341.97256 -1697.1496 270 4.71238898 1641.22583 -1723.3309 280 4.88692191 1940.4791 -1697.1496 290 5.06145483 2230.6397 -1619.4013 300 5.23598776 2502.89127 -1492.4483 310 5.41052068 2748.96156 -1320.148 320 5.58505361 2961.37387 -1107.7357 330 5.75958653 3133.67415 -861.66544 340 5.93411946 3260.62714 -589.41387 350 6.10865238 3338.37544 -299.25327 360 6.28318531 3364.5567 -4.2209E-13

PUNTO GAUSS 270

Circulo de Mohor 2000

1500

1000

500

-500

0

-500

-1000

-1500

-2000

0

500

1000

1500

2000

2500

3000

0

r

2500

3000

3500

4000

Sigma x Sigmay Tau xy

ELEMENTO 9 -3872.446889 -1095.74215 -779.2891837

centro radio Sigmamax Sigmamin Taumax

-2484.09 1592.11 -

891.98 4,076.20 1,592.11

PG 272

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -891.98462 0 10 0.17453293 -916.17235 276.466983 20 0.34906585 -988.00059 544.533656 30 0.52359878 -1105.2869 796.05495 40 0.6981317 -1264.4676 1023.38852 50 0.87266463 -1460.706 1219.62694 60 1.04719755 -1688.0396 1378.80762 70 1.22173048 -1939.5609 1496.09392 80 1.3962634 -2207.6275 1567.92217 90 1.57079633 -2484.0945 1592.1099 100 1.74532925 -2760.5615 1567.92217 110 1.91986218 -3028.6282 1496.09392 120 2.0943951 -3280.1495 1378.80762 130 2.26892803 -3507.483 1219.62694 140 2.44346095 -3703.7215 1023.38852 150 2.61799388 -3862.9021 796.05495 160 2.7925268 -3980.1884 544.533656 170 2.96705973 -4052.0167 276.466983 180 3.14159265 -4076.2044 1.9498E-13 190 3.31612558 -4052.0167 -276.46698 200 3.4906585 -3980.1884 -544.53366 210 3.66519143 -3862.9021 -796.05495 220 3.83972435 -3703.7215 -1023.3885 230 4.01425728 -3507.483 -1219.6269 240 4.1887902 -3280.1495 -1378.8076 250 4.36332313 -3028.6282 -1496.0939 260 4.53785606 -2760.5615 -1567.9222 270 4.71238898 -2484.0945 -1592.1099 280 4.88692191 -2207.6275 -1567.9222 290 5.06145483 -1939.5609 -1496.0939 300 5.23598776 -1688.0396 -1378.8076 310 5.41052068 -1460.706 -1219.6269 320 5.58505361 -1264.4676 -1023.3885 330 5.75958653 -1105.2869 -796.05495 340 5.93411946 -988.00059 -544.53366 350 6.10865238 -916.17235 -276.46698 360 6.28318531 -891.98462 -3.8995E-13

PUNTO GAUSS 272

Circulo de Mohor

-4500

-4000

-3500

-3000

-2500

-2000

-1500

2

r 2000

1500

1000

500

-2000

-1500

-1000

0 -500

-500

-1000

-1500

-2000

Sigma x Sigmay Tau xy

ELEMENTO 9 -150.6833907 -10.30082149 -197.2128883

centro radio

-80.49 209.33

Sigmamax Sigmamin Taumax

128.84 289.82 209.33

-

PG 277

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 128.839544 0 10 0.17453293 125.659326 36.3500596 20 0.34906585 116.215301 71.595641 30 0.52359878 100.794421 104.665825 40 0.6981317 79.8652412 134.555791 50 0.87266463 54.0636849 160.357347 60 1.04719755 24.1737189 181.286527 70 1.22173048 -8.8964651 196.707407 80 1.3962634 -44.142047 206.151432 90 1.57079633 -80.492106 209.33165 100 1.74532925 -116.84217 206.151432 110 1.91986218 -152.08775 196.707407 120 2.0943951 -185.15793 181.286527 130 2.26892803 -215.0479 160.357347 140 2.44346095 -240.84945 134.555791 150 2.61799388 -261.77863 104.665825 160 2.7925268 -277.19951 71.595641 170 2.96705973 -286.64354 36.3500596 180 3.14159265 -289.82376 2.5636E-14 190 3.31612558 -286.64354 -36.35006 200 3.4906585 -277.19951 -71.595641 210 3.66519143 -261.77863 -104.66583 220 3.83972435 -240.84945 -134.55579 230 4.01425728 -215.0479 -160.35735 240 4.1887902 -185.15793 -181.28653 250 4.36332313 -152.08775 -196.70741 260 4.53785606 -116.84217 -206.15143 270 4.71238898 -80.492106 -209.33165 280 4.88692191 -44.142047 -206.15143 290 5.06145483 -8.8964651 -196.70741 300 5.23598776 24.1737189 -181.28653 310 5.41052068 54.0636849 -160.35735 320 5.58505361 79.8652412 -134.55579 330 5.75958653 100.794421 -104.66583 340 5.93411946 116.215301 -71.595641 350 6.10865238 125.659326 -36.35006 360 6.28318531 128.839544 -5.1271E-14

PUNTO GAUSS 277

Circulo de Mohor 250

200

150

100

50

-400

-300

-200

-100

0

-50

-100

-150

-200

-250

0

7

r 250

200

150

100

50

0

-50

-100

-150

-200

-250

0

100

200

Sigma x Sigmay Tau xy

ELEMENTO 9 3311.637544 -186.3412524 -62.41507504

centro radio Sigmamax Sigmamin Taumax

1562.65 1750.10

-

3,312.75 187.45 1,750.10

3311.63754 -186.3412524

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 3312.75087 0 10 0.17453293 3286.16288 303.902149 20 0.34906585 3207.20676 598.570386 30 0.52359878 3078.28157 875.051364 40 0.6981317 2903.30462 1124.94435 50 0.87266463 2687.59249 1340.65647 60 1.04719755 2437.69951 1515.63342 70 1.22173048 2161.21853 1644.55862 80 1.3962634 1866.5503 1723.51473 90 1.57079633 1562.64815 1750.10273 100 1.74532925 1258.746 1723.51473 110 1.91986218 964.07776 1644.55862 120 2.0943951 687.596782 1515.63342 -62.41507504 130 2.26892803 437.703797 1340.65647 140 2.44346095 221.991677 1124.94435 150 2.61799388 47.0147246 875.051364 160 2.7925268 -81.910473 598.570386 170 2.96705973 -160.86659 303.902149 180 3.14159265 -187.45458 2.1433E-13 190 3.31612558 -160.86659 -303.90215 200 3.4906585 -81.910473 -598.57039 210 3.66519143 47.0147246 -875.05136 220 3.83972435 221.991677 -1124.9443 230 4.01425728 437.703797 -1340.6565 240 4.1887902 687.596782 -1515.6334 250 4.36332313 964.07776 -1644.5586 260 4.53785606 1258.746 -1723.5147 270 4.71238898 1562.64815 -1750.1027 280 4.88692191 1866.5503 -1723.5147 290 5.06145483 2161.21853 -1644.5586 300 5.23598776 2437.69951 -1515.6334 310 5.41052068 2687.59249 -1340.6565 320 5.58505361 2903.30462 -1124.9443 330 5.75958653 3078.28157 -875.05136 340 5.93411946 3207.20676 -598.57039 350 6.10865238 3286.16288 -303.90215 360 6.28318531 3312.75087 -4.2865E-13 PG 273

PUNTO GAUSS 273

Circulo de Mohor 2000

1500

1000

500

-500

0

-500

-1000

-1500

-2000

0

500

1000

1500

2000

2500

3000

3

r

2500

3000

3500

4000

Sigma x Sigmay Tau xy

ELEMENTO 9 300.59824577 -433.3880599 -85.03851137

centro radio

-66.39 376.72

Sigmamax Sigmamin Taumax

310.32 443.11 376.72

-

PG 271

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 310.32186 0 10 0.17453293 304.598686 65.4161801 20 0.34906585 287.603059 128.844723 30 0.52359878 259.851383 188.358384 40 0.6981317 222.186879 242.14887 50 0.87266463 175.753963 288.581786 60 1.04719755 121.963477 326.24629 70 1.22173048 62.4498156 353.997966 80 1.3962634 -0.978727 370.993593 90 1.57079633 -66.394907 376.716767 100 1.74532925 -131.81109 370.993593 110 1.91986218 -195.23963 353.997966 120 2.0943951 -254.75329 326.24629 130 2.26892803 -308.54378 288.581786 140 2.44346095 -354.97669 242.14887 150 2.61799388 -392.6412 188.358384 160 2.7925268 -420.39287 128.844723 170 2.96705973 -437.3885 65.4161801 180 3.14159265 -443.11167 4.6134E-14 190 3.31612558 -437.3885 -65.41618 200 3.4906585 -420.39287 -128.84472 210 3.66519143 -392.6412 -188.35838 220 3.83972435 -354.97669 -242.14887 230 4.01425728 -308.54378 -288.58179 240 4.1887902 -254.75329 -326.24629 250 4.36332313 -195.23963 -353.99797 260 4.53785606 -131.81109 -370.99359 270 4.71238898 -66.394907 -376.71677 280 4.88692191 -0.978727 -370.99359 290 5.06145483 62.4498156 -353.99797 300 5.23598776 121.963477 -326.24629 310 5.41052068 175.753963 -288.58179 320 5.58505361 222.186879 -242.14887 330 5.75958653 259.851383 -188.35838 340 5.93411946 287.603059 -128.84472 350 6.10865238 304.598686 -65.41618 360 6.28318531 310.32186 -9.2269E-14

PUNTO GAUSS 271

Circulo de Mohor 500

400

300

200

100

-500

-400

-300

-200

-100

0

-100

-200

-300

-400

-500

0

100

200

1

r

100

200

300

400

Sigma x Sigmay Tau xy

ELEMENTO 9 -3426.902165 -18.40912089 -304.8871327

centro radio

-1722.66 1731.30

Sigmamax Sigmamin Taumax

8.65 3,453.96 1,731.30

-

PG 275

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 8.64801951 0 10 0.17453293 -17.654373 300.637726 20 0.34906585 -95.762367 592.140727 30 0.52359878 -223.30269 865.651831 40 0.6981317 -396.40009 1112.86054 50 0.87266463 -609.7951 1326.25555 60 1.04719755 -857.00381 1499.35295 70 1.22173048 -1130.5149 1626.89328 80 1.3962634 -1422.0179 1705.00127 90 1.57079633 -1722.6556 1731.30366 100 1.74532925 -2023.2934 1705.00127 110 1.91986218 -2314.7964 1626.89328 120 2.0943951 -2588.3075 1499.35295 130 2.26892803 -2835.5162 1326.25555 140 2.44346095 -3048.9112 1112.86054 150 2.61799388 -3222.0086 865.651831 160 2.7925268 -3349.5489 592.140727 170 2.96705973 -3427.6569 300.637726 180 3.14159265 -3453.9593 2.1202E-13 190 3.31612558 -3427.6569 -300.63773 200 3.4906585 -3349.5489 -592.14073 210 3.66519143 -3222.0086 -865.65183 220 3.83972435 -3048.9112 -1112.8605 230 4.01425728 -2835.5162 -1326.2556 240 4.1887902 -2588.3075 -1499.353 250 4.36332313 -2314.7964 -1626.8933 260 4.53785606 -2023.2934 -1705.0013 270 4.71238898 -1722.6556 -1731.3037 280 4.88692191 -1422.0179 -1705.0013 290 5.06145483 -1130.5149 -1626.8933 300 5.23598776 -857.00381 -1499.353 310 5.41052068 -609.7951 -1326.2556 320 5.58505361 -396.40009 -1112.8605 330 5.75958653 -223.30269 -865.65183 340 5.93411946 -95.762367 -592.14073 350 6.10865238 -17.654373 -300.63773 360 6.28318531 8.64801951 -4.2405E-13

PUNTO GAUSS 275

Circulo de Mohor

-4000

-3500

-3000

-2500

-2000

-1500

-1000

-500

5

r 2000

1500

1000

500

-1000

-500

0

-500

-1000

-1500

-2000

0

500

Sigma x Sigmay Tau xy

ELEMENTO 9 115.27752936 -59.14769368 -137.9143913

centro radio

28.06 163.18

Sigmamax Sigmamin Taumax

191.24 135.11 163.18

-

PG 274

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 191.240954 0 10 0.17453293 188.761944 28.3352214 20 0.34906585 181.400235 55.8094914 30 0.52359878 169.379511 81.5880183 40 0.6981317 153.065014 104.887535 50 0.87266463 132.952452 125.000096 60 1.04719755 109.652936 141.314593 70 1.22173048 83.8744093 153.335318 80 1.3962634 56.4001392 160.697026 90 1.57079633 28.0649178 163.176037 100 1.74532925 -0.2703036 160.697026 110 1.91986218 -27.744574 153.335318 120 2.0943951 -53.5231 141.314593 130 2.26892803 -76.822617 125.000096 140 2.44346095 -96.935178 104.887535 150 2.61799388 -113.24968 81.5880183 160 2.7925268 -125.2704 55.8094914 170 2.96705973 -132.63211 28.3352214 180 3.14159265 -135.11112 1.9983E-14 190 3.31612558 -132.63211 -28.335221 200 3.4906585 -125.2704 -55.809491 210 3.66519143 -113.24968 -81.588018 220 3.83972435 -96.935178 -104.88753 230 4.01425728 -76.822617 -125.0001 240 4.1887902 -53.5231 -141.31459 250 4.36332313 -27.744574 -153.33532 260 4.53785606 -0.2703036 -160.69703 270 4.71238898 28.0649178 -163.17604 280 4.88692191 56.4001392 -160.69703 290 5.06145483 83.8744093 -153.33532 300 5.23598776 109.652936 -141.31459 310 5.41052068 132.952452 -125.0001 320 5.58505361 153.065014 -104.88753 330 5.75958653 169.379511 -81.588018 340 5.93411946 181.400235 -55.809491 350 6.10865238 188.761944 -28.335221 360 6.28318531 191.240954 -3.9967E-14

PUNTO GAUSS 274

Circulo de Mohor 200

150

100

50

-200

-150

-100

-50

0

-50

-100

-150

-200

0

50

100

150

4

r

100

150

200

250

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