Circulo De Mohr Carga Centro Veredadero.xlsx

Sigma x Sigmay Tau xy

ELEMENTO 109 -1876.396764 -304.0447471 643.43798249

centro radio Sigmamax Sigmamin Taumax

PG 954

-1090.22 1015.92 -

74.30 2,106.14 1,015.92

Tau xy 643.43798249 Sigma x-Sigm -786.1760086 TangA -0.818440114 ἀ= -39.3 ἀ= -19.65

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -74.304837 0 10 0.17453293 -89.738883 176.411948 20 0.34906585 -135.57206 347.463708 30 0.52359878 -210.41176 507.957959 40 0.6981317 -311.98401 653.018165 50 0.87266463 -437.20259 778.236744 60 1.04719755 -582.2628 879.808994 70 1.22173048 -742.75705 954.648692 80 1.3962634 -913.80881 1000.48187 90 1.57079633 -1090.2208 1015.91592 100 1.74532925 -1266.6327 1000.48187 110 1.91986218 -1437.6845 954.648692 120 2.0943951 -1598.1787 879.808994 130 2.26892803 -1743.2389 778.236744 140 2.44346095 -1868.4575 653.018165 150 2.61799388 -1970.0297 507.957959 160 2.7925268 -2044.8694 347.463708 170 2.96705973 -2090.7026 176.411948 180 3.14159265 -2106.1367 1.2441E-13 190 3.31612558 -2090.7026 -176.41195 200 3.4906585 -2044.8694 -347.46371 210 3.66519143 -1970.0297 -507.95796 220 3.83972435 -1868.4575 -653.01817 230 4.01425728 -1743.2389 -778.23674 240 4.1887902 -1598.1787 -879.80899 250 4.36332313 -1437.6845 -954.64869 260 4.53785606 -1266.6327 -1000.4819 270 4.71238898 -1090.2208 -1015.9159 280 4.88692191 -913.80881 -1000.4819 290 5.06145483 -742.75705 -954.64869 300 5.23598776 -582.2628 -879.80899 310 5.41052068 -437.20259 -778.23674 320 5.58505361 -311.98401 -653.01817 330 5.75958653 -210.41176 -507.95796 340 5.93411946 -135.57206 -347.46371 350 6.10865238 -89.738883 -176.41195 360 6.28318531 -74.304837 -2.4883E-13

Qy= -304,04

Qy= -2.106, Txy= 643,44

Qx= -1.876,40

ἀ= -19,65

PUNTO GAUSS 954

Circulo de Mohor

-2500

Qy= -2.106,14

-2000

-1500

-1000

-50

Qx= -74,30

4

r 1500

1000

500

-1000

-500

0

-500

-1000

-1500

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -1092.379182 -597.8207032 628.34847007

centro radio Sigmamax Sigmamin Taumax

PG 962

-845.10 675.25 -

169.85 1,520.35 675.25

Tau xy 628.34847007 Sigma x-Sigm -247.2792392 TangA -2.541048218 ἀ= -68.52 ἀ= -34.26

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -169.84531 0 10 0.17453293 -180.10394 117.256737 20 0.34906585 -210.56814 230.950687 30 0.52359878 -260.31227 337.627317 40 0.6981317 -327.82488 434.045313 50 0.87266463 -411.05463 517.275061 60 1.04719755 -507.47262 584.787668 70 1.22173048 -614.14926 634.531798 80 1.3962634 -727.84321 664.996 90 1.57079633 -845.09994 675.254635 100 1.74532925 -962.35668 664.996 110 1.91986218 -1076.0506 634.531798 120 2.0943951 -1182.7273 584.787668 130 2.26892803 -1279.1453 517.275061 140 2.44346095 -1362.375 434.045313 150 2.61799388 -1429.8876 337.627317 160 2.7925268 -1479.6317 230.950687 170 2.96705973 -1510.0959 117.256737 180 3.14159265 -1520.3546 8.2695E-14 190 3.31612558 -1510.0959 -117.25674 200 3.4906585 -1479.6317 -230.95069 210 3.66519143 -1429.8876 -337.62732 220 3.83972435 -1362.375 -434.04531 230 4.01425728 -1279.1453 -517.27506 240 4.1887902 -1182.7273 -584.78767 250 4.36332313 -1076.0506 -634.5318 260 4.53785606 -962.35668 -664.996 270 4.71238898 -845.09994 -675.25463 280 4.88692191 -727.84321 -664.996 290 5.06145483 -614.14926 -634.5318 300 5.23598776 -507.47262 -584.78767 310 5.41052068 -411.05463 -517.27506 320 5.58505361 -327.82488 -434.04531 330 5.75958653 -260.31227 -337.62732 340 5.93411946 -210.56814 -230.95069 350 6.10865238 -180.10394 -117.25674 360 6.28318531 -169.84531 -1.6539E-13

Qy= -597,82 Txy= 628,35

Qy= -1520,35

Qx= -1.092,38

ἀ= 34,26

PUNTO GAUSS 962

Circulo de Mohor

-1600

Qy= -1520,35

-1400

-1200

-1000

-800

-600

-400

Qx= -169,85

2

r 800

600

400

200

-600

-400

-200

0

-200

-400

-600

-800

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -956.6311253 -277.0665946 281.60373696

centro radio Sigmamax Sigmamin Taumax

PG 968

-616.85 441.31 -

175.54 1,058.16 441.31

Tau xy 281.60373696 Sigma x-Sigm -339.7822653 TangA -0.828777031 ἀ= -39.65 ἀ= -19.825

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -175.54097 0 10 0.17453293 -182.24543 76.6323106 20 0.34906585 -202.15509 150.936187 30 0.52359878 -234.66502 220.653944 40 0.6981317 -278.7874 283.667243 50 0.87266463 -333.18162 338.061456 60 1.04719755 -396.19492 382.183842 70 1.22173048 -465.91267 414.693766 80 1.3962634 -540.21655 434.60343 90 1.57079633 -616.84886 441.307889 100 1.74532925 -693.48117 434.60343 110 1.91986218 -767.78505 414.693766 120 2.0943951 -837.5028 382.183842 130 2.26892803 -900.5161 338.061456 140 2.44346095 -954.91032 283.667243 150 2.61799388 -999.0327 220.653944 160 2.7925268 -1031.5426 150.936187 170 2.96705973 -1051.4523 76.6323106 180 3.14159265 -1058.1567 5.4045E-14 190 3.31612558 -1051.4523 -76.632311 200 3.4906585 -1031.5426 -150.93619 210 3.66519143 -999.0327 -220.65394 220 3.83972435 -954.91032 -283.66724 230 4.01425728 -900.5161 -338.06146 240 4.1887902 -837.5028 -382.18384 250 4.36332313 -767.78505 -414.69377 260 4.53785606 -693.48117 -434.60343 270 4.71238898 -616.84886 -441.30789 280 4.88692191 -540.21655 -434.60343 290 5.06145483 -465.91267 -414.69377 300 5.23598776 -396.19492 -382.18384 310 5.41052068 -333.18162 -338.06146 320 5.58505361 -278.7874 -283.66724 330 5.75958653 -234.66502 -220.65394 340 5.93411946 -202.15509 -150.93619 350 6.10865238 -182.24543 -76.632311 360 6.28318531 -175.54097 -1.0809E-13

Qy= -277,07 Txy= 281,609

Qy= -1.058,

Qx= -956,63

ἀ= -19,83

PUNTO GAUSS 968

Circulo de Mohor

-1200

Qy= -1.058,16

-1000

-800

-600

-400

Qx= -175,54

8

r 500

400

300

200

100

-400

-200

0

-100

-200

-300

-400

-500

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -877.4256831 -237.0800168 221.27754747

centro radio Sigmamax Sigmamin Taumax

PG 948

-557.25 389.20 -

168.06 946.45 389.20

Tau xy 221.27754747 Sigma x-Sigm -320.1728331 TangA -0.69111906 ἀ= 34.65 ἀ= 17.325

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -168.05573 0 10 0.17453293 -173.96851 67.5833702 20 0.34906585 -191.52719 133.113254 30 0.52359878 -220.19826 194.598559 40 0.6981317 -259.11056 250.171085 50 0.87266463 -307.08177 298.142289 60 1.04719755 -362.65429 337.054591 70 1.22173048 -424.1396 365.725659 80 1.3962634 -489.66948 383.284339 90 1.57079633 -557.25285 389.197117 100 1.74532925 -624.83622 383.284339 110 1.91986218 -690.3661 365.725659 120 2.0943951 -751.85141 337.054591 130 2.26892803 -807.42393 298.142289 140 2.44346095 -855.39514 250.171085 150 2.61799388 -894.30744 194.598559 160 2.7925268 -922.97851 133.113254 170 2.96705973 -940.53719 67.5833702 180 3.14159265 -946.44997 4.7663E-14 190 3.31612558 -940.53719 -67.58337 200 3.4906585 -922.97851 -133.11325 210 3.66519143 -894.30744 -194.59856 220 3.83972435 -855.39514 -250.17108 230 4.01425728 -807.42393 -298.14229 240 4.1887902 -751.85141 -337.05459 250 4.36332313 -690.3661 -365.72566 260 4.53785606 -624.83622 -383.28434 270 4.71238898 -557.25285 -389.19712 280 4.88692191 -489.66948 -383.28434 290 5.06145483 -424.1396 -365.72566 300 5.23598776 -362.65429 -337.05459 310 5.41052068 -307.08177 -298.14229 320 5.58505361 -259.11056 -250.17108 330 5.75958653 -220.19826 -194.59856 340 5.93411946 -191.52719 -133.11325 350 6.10865238 -173.96851 -67.58337 360 6.28318531 -168.05573 -9.5326E-14

Qy= -237,08

Qy= -946,45 Txy= 221,28

Txy= 221,28

Qx= -877,43

ἀ= -17,33

PUNTO GAUSS 948

Circulo de Mohor

-1000

Qy= -946,45

-900

-800

-700

-600

-500

-400

-300

Qx= -168,06

8

r 500

400

300

200

100

-400

-300

-200

0 -100

-100

-200

-300

-400

-500

Sigma x Sigmay Tau xy

ELEMENTO 109 -1391.145704 -595.4997429 625.5870297

centro radio Sigmamax Sigmamin Taumax

PG 960

-993.32 741.37 -

251.96 1,734.69 741.37

Tau xy 625.5870297 Sigma x-Sigm -397.8229807 TangA -1.572526124 ἀ= -57.55 ἀ= -28.775

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -251.95759 0 10 0.17453293 -263.2206 128.736704 20 0.34906585 -296.66738 253.561808 30 0.52359878 -351.28169 370.682565 40 0.6981317 -425.40409 476.54032 50 0.87266463 -516.7824 567.918638 60 1.04719755 -622.64016 642.041036 70 1.22173048 -739.76092 696.655342 80 1.3962634 -864.58602 730.102128 90 1.57079633 -993.32272 741.36513 100 1.74532925 -1122.0594 730.102128 110 1.91986218 -1246.8845 696.655342 120 2.0943951 -1364.0053 642.041036 130 2.26892803 -1469.863 567.918638 140 2.44346095 -1561.2414 476.54032 150 2.61799388 -1635.3638 370.682565 160 2.7925268 -1689.9781 253.561808 170 2.96705973 -1723.4249 128.736704 180 3.14159265 -1734.6879 9.0791E-14 190 3.31612558 -1723.4249 -128.7367 200 3.4906585 -1689.9781 -253.56181 210 3.66519143 -1635.3638 -370.68256 220 3.83972435 -1561.2414 -476.54032 230 4.01425728 -1469.863 -567.91864 240 4.1887902 -1364.0053 -642.04104 250 4.36332313 -1246.8845 -696.65534 260 4.53785606 -1122.0594 -730.10213 270 4.71238898 -993.32272 -741.36513 280 4.88692191 -864.58602 -730.10213 290 5.06145483 -739.76092 -696.65534 300 5.23598776 -622.64016 -642.04104 310 5.41052068 -516.7824 -567.91864 320 5.58505361 -425.40409 -476.54032 330 5.75958653 -351.28169 -370.68256 340 5.93411946 -296.66738 -253.56181 350 6.10865238 -263.2206 -128.7367 360 6.28318531 -251.95759 -1.8158E-13

Qy= -595,50 Txy= 625,59

Qy= -1.734,

Qx= -1.391,15

ἀ= -28,78

PUNTO GAUSS 960

Circulo de Mohor

-2000

Qy= -1.734,96

-1800

-1600

-1400

-1200

-1000

-800

-600

-40

Qx= -251,96

0

r 1000

800

600

400

200

-800

-600

-400

-200

0

-200

-400

-600

-800

-1000

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -988.4186284 -434.0586665 464.96073208

centro radio Sigmamax Sigmamin Taumax

PG 964

-711.24 541.31 -

169.93 1,252.55 541.31

Tau xy 464.96073208 Sigma x-Sigm -277.1799809 TangA -1.677468663 ἀ= -59.2 ἀ= -29.6

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -169.92799 0 10 0.17453293 -178.15172 93.9976086 20 0.34906585 -202.57302 185.139147 30 0.52359878 -242.44987 270.655327 40 0.6981317 -296.57063 347.947781 50 0.87266463 -363.29087 414.668019 60 1.04719755 -440.58332 468.788778 70 1.22173048 -526.0995 508.665627 80 1.3962634 -617.24104 533.086929 90 1.57079633 -711.23865 541.310654 100 1.74532925 -805.23626 533.086929 110 1.91986218 -896.37779 508.665627 120 2.0943951 -981.89397 468.788778 130 2.26892803 -1059.1864 414.668019 140 2.44346095 -1125.9067 347.947781 150 2.61799388 -1180.0274 270.655327 160 2.7925268 -1219.9043 185.139147 170 2.96705973 -1244.3256 93.9976086 180 3.14159265 -1252.5493 6.6291E-14 190 3.31612558 -1244.3256 -93.997609 200 3.4906585 -1219.9043 -185.13915 210 3.66519143 -1180.0274 -270.65533 220 3.83972435 -1125.9067 -347.94778 230 4.01425728 -1059.1864 -414.66802 240 4.1887902 -981.89397 -468.78878 250 4.36332313 -896.37779 -508.66563 260 4.53785606 -805.23626 -533.08693 270 4.71238898 -711.23865 -541.31065 280 4.88692191 -617.24104 -533.08693 290 5.06145483 -526.0995 -508.66563 300 5.23598776 -440.58332 -468.78878 310 5.41052068 -363.29087 -414.66802 320 5.58505361 -296.57063 -347.94778 330 5.75958653 -242.44987 -270.65533 340 5.93411946 -202.57302 -185.13915 350 6.10865238 -178.15172 -93.997609 360 6.28318531 -169.92799 -1.3258E-13

Qy= -434,06 Txy= 464,96

Qy= -1.252,

Qx= -988,42

ἀ= 29,60

PUNTO GAUSS 964

Circulo de Mohor

-1400

Qy= -1.252,557

-1200

-1000

-800

-600

-400

Qx= -169,93

4

r

600

600

400

200

-400

-200

0

-200

-400

-600

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -991.7626802 -246.3461827 225.27719951

centro radio Sigmamax Sigmamin Taumax

PG 956

-619.05 435.50 -

183.55 1,054.56 435.50

Tau xy 225.27719951 Sigma x-Sigm -372.7082487 TangA -0.604433093 ἀ= -31.15 ἀ= -15.575

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -183.55328 0 10 0.17453293 -190.16952 75.6239818 20 0.34906585 -209.81721 148.950167 30 0.52359878 -241.89937 217.750577 40 0.6981317 -285.44119 279.934746 50 0.87266463 -339.11969 333.613239 60 1.04719755 -401.30385 377.155063 70 1.22173048 -470.10426 409.237221 80 1.3962634 -543.43045 428.884913 90 1.57079633 -619.05443 435.501154 100 1.74532925 -694.67841 428.884913 110 1.91986218 -768.0046 409.237221 120 2.0943951 -836.80501 377.155063 130 2.26892803 -898.98918 333.613239 140 2.44346095 -952.66767 279.934746 150 2.61799388 -996.20949 217.750577 160 2.7925268 -1028.2917 148.950167 170 2.96705973 -1047.9393 75.6239818 180 3.14159265 -1054.5556 5.3334E-14 190 3.31612558 -1047.9393 -75.623982 200 3.4906585 -1028.2917 -148.95017 210 3.66519143 -996.20949 -217.75058 220 3.83972435 -952.66767 -279.93475 230 4.01425728 -898.98918 -333.61324 240 4.1887902 -836.80501 -377.15506 250 4.36332313 -768.0046 -409.23722 260 4.53785606 -694.67841 -428.88491 270 4.71238898 -619.05443 -435.50115 280 4.88692191 -543.43045 -428.88491 290 5.06145483 -470.10426 -409.23722 300 5.23598776 -401.30385 -377.15506 310 5.41052068 -339.11969 -333.61324 320 5.58505361 -285.44119 -279.93475 330 5.75958653 -241.89937 -217.75058 340 5.93411946 -209.81721 -148.95017 350 6.10865238 -190.16952 -75.623982 360 6.28318531 -183.55328 -1.0667E-13

Qy= -246,35 Txy= 225,28

Qy= -1.054,56

Qx= -991,76

ἀ= -15,58

PUNTO GAUSS 956

Circulo de Mohor

-1200

Qy= -1.054,56

-1000

-800

-600

-400

Qx= -183,55

6

r 500

400

300

200

100

-400

-200

0

-100

-200

-300

-400

-500

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -884.2856998 -244.8499498 360.08187674

centro radio Sigmamax Sigmamin Taumax

PG 950

-564.57 481.54 -

83.03 1,046.11 481.54

Tau xy 360.08187674 Sigma x-Sigm -319.717875 TangA -1.126248812 ἀ= -48.4 ἀ= -24.2

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -83.030207 0 10 0.17453293 -90.345845 83.6181298 20 0.34906585 -112.07048 164.695565 30 0.52359878 -147.54401 240.768809 40 0.6981317 -195.68861 309.526414 50 0.87266463 -255.04141 368.879216 60 1.04719755 -323.79902 417.02381 70 1.22173048 -399.87226 452.497346 80 1.3962634 -480.94969 474.22198 90 1.57079633 -564.56782 481.537618 100 1.74532925 -648.18595 474.22198 110 1.91986218 -729.26339 452.497346 120 2.0943951 -805.33663 417.02381 130 2.26892803 -874.09424 368.879216 140 2.44346095 -933.44704 309.526414 150 2.61799388 -981.59163 240.768809 160 2.7925268 -1017.0652 164.695565 170 2.96705973 -1038.7898 83.6181298 180 3.14159265 -1046.1054 5.8971E-14 190 3.31612558 -1038.7898 -83.61813 200 3.4906585 -1017.0652 -164.69557 210 3.66519143 -981.59163 -240.76881 220 3.83972435 -933.44704 -309.52641 230 4.01425728 -874.09424 -368.87922 240 4.1887902 -805.33663 -417.02381 250 4.36332313 -729.26339 -452.49735 260 4.53785606 -648.18595 -474.22198 270 4.71238898 -564.56782 -481.53762 280 4.88692191 -480.94969 -474.22198 290 5.06145483 -399.87226 -452.49735 300 5.23598776 -323.79902 -417.02381 310 5.41052068 -255.04141 -368.87922 320 5.58505361 -195.68861 -309.52641 330 5.75958653 -147.54401 -240.76881 340 5.93411946 -112.07048 -164.69557 350 6.10865238 -90.345845 -83.61813 360 6.28318531 -83.030207 -1.1794E-13

Qy= -244,85 Txy= 360,08

Qy= -1.046,

Qx= -884,29

ἀ= -24,20

PUNTO GAUSS 950

Circulo de Mohor

-1200

Qy= -1.046,11

-1000

-800

-600

-400

Qx= -83,03

0

r 600

400

200

-400

-200

0

-200

-400

-600

0

Sigma x Sigmay Tau xy

ELEMENTO 109 -967.3718251 -376.0365099 392.42995096

centro radio Sigmamax Sigmamin Taumax

PG 958

-671.70 491.35 -

180.36 1,163.05 491.35

Tau xy 392.42995096 Sigma x-Sigm -295.6676576 TangA -1.327267088 ἀ= -53 ἀ= -26.5

direccion

Angulo (2Phi)Angulo (rad) Sigma Tau 0 0 -180.35843 0 10 0.17453293 -187.82308 85.3212913 20 0.34906585 -209.99021 168.050138 30 0.52359878 -246.18628 245.672867 40 0.6981317 -295.3115 315.83095 50 0.87266463 -355.87322 376.392669 60 1.04719755 -426.0313 425.517888 70 1.22173048 -503.65403 461.71396 80 1.3962634 -586.38288 483.881088 90 1.57079633 -671.70417 491.345734 100 1.74532925 -757.02546 483.881088 110 1.91986218 -839.75431 461.71396 120 2.0943951 -917.37703 425.517888 130 2.26892803 -987.53512 376.392669 140 2.44346095 -1048.0968 315.83095 150 2.61799388 -1097.2221 245.672867 160 2.7925268 -1133.4181 168.050138 170 2.96705973 -1155.5853 85.3212913 180 3.14159265 -1163.0499 6.0172E-14 190 3.31612558 -1155.5853 -85.321291 200 3.4906585 -1133.4181 -168.05014 210 3.66519143 -1097.2221 -245.67287 220 3.83972435 -1048.0968 -315.83095 230 4.01425728 -987.53512 -376.39267 240 4.1887902 -917.37703 -425.51789 250 4.36332313 -839.75431 -461.71396 260 4.53785606 -757.02546 -483.88109 270 4.71238898 -671.70417 -491.34573 280 4.88692191 -586.38288 -483.88109 290 5.06145483 -503.65403 -461.71396 300 5.23598776 -426.0313 -425.51789 310 5.41052068 -355.87322 -376.39267 320 5.58505361 -295.3115 -315.83095 330 5.75958653 -246.18628 -245.67287 340 5.93411946 -209.99021 -168.05014 350 6.10865238 -187.82308 -85.321291 360 6.28318531 -180.35843 -1.2034E-13

Qy= -376,04 Txy= 392,43

Qy= -1.163,

Qx= -967,37

ἀ= -26,50

PUNTO GAUSS 958

Circulo de Mohor

-1400

Qy= -1.163,05

-1200

-1000

-800

-600

-400

Qx= -180,36

8

r

600

600

400

200

-400

-200

0

-200

-400

-600

0