CLCULO CRCULO DE MOHR

ngulo ngulo en (rad) Esfuerzo Normal Esfuerzo Tangencial 0 0 5500 12501 0.0174532925 5455.6141628958 1292.8629046522 0.034906585 5409.7594706446 1334.15065500493 0.0523598776 5362.4917901258 1373.81294829494 0.0698131701 5313.8687097269 1411.80146212715 0.0872664626 5263.9494691816 1448.06991334896 0.1047197551 5212.7948873951 1482.57411443957 0.1221730476 5160.4672883454 1515.27202734468 0.1396263402 5107.0304251517 1546.12381469429 0.1570796327 5052.5494024003 1575.0918883376

10 0.1745329252 4997.0905968253 1602.140955139511 0.1919862177 4940.7215764386 1627.238059978412 0.2094395102 4883.5110182085 1650.35262589813 0.2268928028 4825.5286243876 1671.456491360314 0.2443460953 4766.8450375913 1690.52394455615 0.2617993878 4707.5317547306 1707.531754730616 0.2792526803 4647.661039904 1722.45920048717 0.2967059728 4587.3058363554 1735.288095032218 0.3141592654 4526.5396776031 1746.002808334319 0.3316125579 4465.4365978513 1754.590286165520 0.3490658504 4404.0710417906 1761.040066006921 0.3665191429 4342.5177738982 1765.344289795322 0.3839724354 4280.8517873496 1767.497713497123 0.401425728 4219.1482126504 1767.497713497124 0.4188790205 4157.4822261018 1765.344289795325 0.436332313 4095.9289582095 1761.040066006926 0.4537856055 4034.5634021487 1754.590286165527 0.471238898 3973.4603223969 1746.002808334328 0.4886921906 3912.6941636446 1735.288095032229 0.5061454831 3852.338960096 1722.45920048730 0.5235987756 3792.4682452695 1707.531754730631 0.5410520681 3733.1549624087 1690.52394455632 0.5585053606 3674.4713756124 1671.456491360333 0.5759586532 3616.4889817915 1650.35262589834 0.5934119457 3559.2784235614 1627.238059978435 0.6108652382 3502.9094031747 1602.140955139536 0.6283185307 3447.4505975998 1575.091888337637 0.6457718232 3392.9695748484 1546.1238146942

UNIVERSIDAD CENTRAL DEL ECUADORFACULTAD DE INGENIERA EN GEOLOGA, MINAS, PETRLEOS Y AMBIENTAL

ESCUELA DE INGENIERA EN MINAS RESISTENCIA DE MATERIALES Nombre: Noboa Tapia Luis Alcides

Fecha: 07 diciembre 2015

38 0.6632251158 3339.5327116546 1515.272027344639 0.6806784083 3287.205112605 1482.574114439540 0.6981317008 3236.0505308184 1448.069913348941 0.7155849933 3186.1312902731 1411.801462127142 0.7330382858 3137.5082098742 1373.812948294943 0.7504915784 3090.2405293554 1334.150655004944 0.7679448709 3044.3858371043 1292.86290465245 0.7853981634 3000 125046 0.8028514559 2957.137095348 1205.614162895847 0.8203047484 2915.8493449951 1159.759470644648 0.837758041 2876.1870517051 1112.491790125849 0.8552113335 2838.198537873 1063.868709726950 0.872664626 2801.9300866511 1013.949469181651 0.8901179185 2767.4258855606 962.794887395152 0.907571211 2734.7279726554 910.467288345453 0.9250245036 2703.8761853059 857.030425151754 0.9424777961 2674.9081116624 802.549402400355 0.9599310886 2647.8590448605 747.090596825356 0.9773843811 2622.7619400216 690.721576438657 0.9948376736 2599.647374102 633.511018208558 1.0122909662 2578.5435086397 575.528624387659 1.0297442587 2559.476055444 516.845037591360 1.0471975512 2542.4682452695 457.531754730561 1.0646508437 2527.540799513 397.66103990462 1.0821041362 2514.7119049678 337.305836355463 1.0995574288 2503.9971916657 276.539677603164 1.1170107213 2495.4097138345 215.436597851365 1.1344640138 2488.9599339931 154.071041790566 1.1519173063 2484.6557102047 92.517773898267 1.1693705988 2482.5022865029 30.851787349668 1.1868238914 2482.5022865029 -30.851787349669 1.2042771839 2484.6557102047 -92.517773898270 1.2217304764 2488.9599339931 -154.071041790571 1.2391837689 2495.4097138345 -215.436597851372 1.2566370614 2503.9971916657 -276.539677603173 1.274090354 2514.7119049678 -337.305836355474 1.2915436465 2527.540799513 -397.66103990475 1.308996939 2542.4682452695 -457.531754730576 1.3264502315 2559.476055444 -516.845037591377 1.343903524 2578.5435086397 -575.528624387678 1.3613568166 2599.647374102 -633.511018208579 1.3788101091 2622.7619400216 -690.721576438680 1.3962634016 2647.8590448605 -747.090596825381 1.4137166941 2674.9081116624 -802.549402400382 1.4311699866 2703.8761853059 -857.0304251517

83 1.4486232792 2734.7279726554 -910.467288345484 1.4660765717 2767.4258855606 -962.794887395185 1.4835298642 2801.9300866511 -1013.949469181686 1.5009831567 2838.198537873 -1063.868709726987 1.5184364492 2876.1870517051 -1112.491790125888 1.5358897418 2915.8493449951 -1159.759470644689 1.5533430343 2957.137095348 -1205.614162895890 1.5707963268 3000 -125091 1.5882496193 3044.3858371043 -1292.86290465292 1.6057029118 3090.2405293554 -1334.150655004993 1.6231562044 3137.5082098742 -1373.812948294994 1.6406094969 3186.1312902731 -1411.801462127195 1.6580627894 3236.0505308184 -1448.069913348996 1.6755160819 3287.205112605 -1482.574114439597 1.6929693744 3339.5327116546 -1515.272027344698 1.710422667 3392.9695748484 -1546.123814694299 1.7278759595 3447.4505975998 -1575.0918883376

100 1.745329252 3502.9094031747 -1602.1409551395101 1.7627825445 3559.2784235614 -1627.2380599784102 1.780235837 3616.4889817915 -1650.352625898103 1.7976891296 3674.4713756124 -1671.4564913603104 1.8151424221 3733.1549624087 -1690.523944556105 1.8325957146 3792.4682452695 -1707.5317547306106 1.8500490071 3852.338960096 -1722.459200487107 1.8675022996 3912.6941636446 -1735.2880950322108 1.8849555922 3973.4603223969 -1746.0028083343109 1.9024088847 4034.5634021487 -1754.5902861655110 1.9198621772 4095.9289582095 -1761.0400660069111 1.9373154697 4157.4822261018 -1765.3442897953112 1.9547687622 4219.1482126504 -1767.4977134971113 1.9722220548 4280.8517873496 -1767.4977134971114 1.9896753473 4342.5177738982 -1765.3442897953115 2.0071286398 4404.0710417906 -1761.0400660069116 2.0245819323 4465.4365978513 -1754.5902861655117 2.0420352248 4526.5396776031 -1746.0028083343118 2.0594885174 4587.3058363554 -1735.2880950322119 2.0769418099 4647.661039904 -1722.459200487120 2.0943951024 4707.5317547306 -1707.5317547306121 2.1118483949 4766.8450375913 -1690.523944556122 2.1293016874 4825.5286243876 -1671.4564913603123 2.14675498 4883.5110182085 -1650.352625898124 2.1642082725 4940.7215764386 -1627.2380599784125 2.181661565 4997.0905968253 -1602.1409551395126 2.1991148575 5052.5494024003 -1575.0918883376127 2.21656815 5107.0304251517 -1546.1238146942

128 2.2340214426 5160.4672883454 -1515.2720273446129 2.2514747351 5212.7948873951 -1482.5741144395130 2.2689280276 5263.9494691816 -1448.0699133489131 2.2863813201 5313.8687097269 -1411.8014621271132 2.3038346126 5362.4917901258 -1373.8129482949133 2.3212879052 5409.7594706446 -1334.1506550049134 2.3387411977 5455.6141628958 -1292.862904652135 2.3561944902 5500 -1250136 2.3736477827 5542.862904652 -1205.6141628958137 2.3911010752 5584.1506550049 -1159.7594706446138 2.4085543678 5623.8129482949 -1112.4917901258139 2.4260076603 5661.8014621271 -1063.8687097269140 2.4434609528 5698.0699133489 -1013.9494691816141 2.4609142453 5732.5741144395 -962.7948873951142 2.4783675378 5765.2720273446 -910.4672883454143 2.4958208304 5796.1238146942 -857.0304251516144 2.5132741229 5825.0918883376 -802.5494024003145 2.5307274154 5852.1409551395 -747.0905968253146 2.5481807079 5877.2380599784 -690.7215764386147 2.5656340004 5900.352625898 -633.5110182085148 2.583087293 5921.4564913603 -575.5286243876149 2.6005405855 5940.523944556 -516.8450375913150 2.617993878 5957.5317547306 -457.5317547305151 2.6354471705 5972.459200487 -397.661039904152 2.652900463 5985.2880950322 -337.3058363554153 2.6703537556 5996.0028083343 -276.5396776031154 2.6878070481 6004.5902861655 -215.4365978513155 2.7052603406 6011.0400660069 -154.0710417905156 2.7227136331 6015.3442897953 -92.5177738982157 2.7401669256 6017.4977134971 -30.8517873496158 2.7576202182 6017.4977134971 30.8517873496159 2.7750735107 6015.3442897953 92.5177738982160 2.7925268032 6011.0400660069 154.0710417905161 2.8099800957 6004.5902861655 215.4365978513162 2.8274333882 5996.0028083343 276.5396776031163 2.8448866808 5985.2880950322 337.3058363554164 2.8623399733 5972.459200487 397.661039904165 2.8797932658 5957.5317547306 457.5317547305166 2.8972465583 5940.523944556 516.8450375913167 2.9146998508 5921.4564913603 575.5286243876168 2.9321531434 5900.352625898 633.5110182085169 2.9496064359 5877.2380599784 690.7215764386170 2.9670597284 5852.1409551395 747.0905968253171 2.9845130209 5825.0918883376 802.5494024003172 3.0019663134 5796.1238146942 857.0304251517

173 3.019419606 5765.2720273446 910.4672883454174 3.0368728985 5732.5741144395 962.7948873951175 3.054326191 5698.0699133489 1013.9494691816176 3.0717794835 5661.8014621271 1063.8687097269177 3.089232776 5623.8129482949 1112.4917901258178 3.1066860685 5584.1506550049 1159.7594706446179 3.1241393611 5542.862904652 1205.6141628958180 3.1415926536 5500 1250

CLCULO CRCULO DE MOHR

x 5500

y 3000

xy 1250

UNIVERSIDAD CENTRAL DEL ECUADORFACULTAD DE INGENIERA EN GEOLOGA, MINAS, PETRLEOS Y AMBIENTAL

ESCUELA DE INGENIERA EN MINAS RESISTENCIA DE MATERIALES Curso: Tercero Minas

Profesor: Ing. Pablo Ayala

0 20 40 60 80 100 120 140 160 180 200

-2000-1500-1000-500

0500

100015002000

Esfuerzo Tangencial

Esfuerzo Tangencial

2000 2500 3000 3500 4000 4500 5000 5500 6000 6500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

circulo de mohr

0 20 40 60 80 100 120 140 160 180 2000

1000

2000

3000

4000

5000

6000

7000

Esfuerzo Normal

Esfuerzo Normal

2000 2500 3000 3500 4000 4500 5000 5500 6000 6500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

circulo de mohr

0 20 40 60 80 100 120 140 160 180 200

-2000-1500-1000-500

0500

100015002000

Esfuerzo Tangencial

Esfuerzo Tangencial

2000 2500 3000 3500 4000 4500 5000 5500 6000 6500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

circulo de mohr

0 20 40 60 80 100 120 140 160 180 2000

1000

2000

3000

4000

5000

6000

7000

Esfuerzo Normal

Esfuerzo Normal

2000 2500 3000 3500 4000 4500 5000 5500 6000 6500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

circulo de mohr

Hoja1