Mechanical Engineering homework help
MSST and DET
Sy = 1
MSST Plot Points
1 0
1 1
0 1
-1 0
-1 -1
0 -1
1 0
DET Plot Points
Δθ = 0.03491 rad
θ r σA σB
rad ksi ksi
0.0000 1.00 1.00 0.00
0.0349 1.02 1.02 0.04
0.0698 1.04 1.03 0.07
0.1047 1.06 1.05 0.11
0.1396 1.08 1.07 0.15
0.1745 1.10 1.08 0.19
0.2094 1.12 1.10 0.23
0.2443 1.14 1.11 0.28
0.2793 1.17 1.12 0.32
0.3142 1.19 1.13 0.37
0.3491 1.21 1.14 0.42
0.3840 1.24 1.15 0.46
0.4189 1.26 1.15 0.51
0.4538 1.28 1.15 0.56
0.4887 1.31 1.15 0.61
0.5236 1.33 1.15 0.66
0.5585 1.35 1.14 0.71
0.5934 1.37 1.13 0.76
0.6283 1.38 1.12 0.81
0.6632 1.39 1.10 0.86
0.6981 1.40 1.08 0.90
0.7330 1.41 1.05 0.94
0.7679 1.41 1.02 0.98
0.8029 1.41 0.98 1.02
0.8378 1.41 0.94 1.05
0.8727 1.40 0.90 1.08
0.9076 1.39 0.86 1.10
0.9425 1.38 0.81 1.12
0.9774 1.37 0.76 1.13
1.0123 1.35 0.71 1.14
1.0472 1.33 0.66 1.15
1.0821 1.31 0.61 1.15
1.1170 1.28 0.56 1.15
1.1519 1.26 0.51 1.15
1.1868 1.24 0.46 1.15
1.2217 1.21 0.42 1.14
1.2566 1.19 0.37 1.13
1.2915 1.17 0.32 1.12
1.3265 1.14 0.28 1.11
1.3614 1.12 0.23 1.10
1.3963 1.10 0.19 1.08
1.4312 1.08 0.15 1.07
1.4661 1.06 0.11 1.05
1.5010 1.04 0.07 1.03
1.5359 1.02 0.04 1.02
1.5708 1.00 -0.00 1.00
1.6057 0.98 -0.03 0.98
1.6406 0.97 -0.07 0.96
1.6755 0.95 -0.10 0.95
1.7104 0.94 -0.13 0.93
1.7453 0.92 -0.16 0.91
1.7802 0.91 -0.19 0.89
1.8151 0.90 -0.22 0.87
1.8500 0.89 -0.25 0.85
1.8850 0.88 -0.27 0.84
1.9199 0.87 -0.30 0.82
1.9548 0.86 -0.32 0.80
1.9897 0.85 -0.35 0.78
2.0246 0.85 -0.37 0.76
2.0595 0.84 -0.39 0.74
2.0944 0.84 -0.42 0.72
2.1293 0.83 -0.44 0.70
2.1642 0.83 -0.46 0.69
2.1991 0.82 -0.48 0.67
2.2340 0.82 -0.51 0.65
2.2689 0.82 -0.53 0.63
2.3038 0.82 -0.55 0.61
2.3387 0.82 -0.57 0.59
2.3736 0.82 -0.59 0.57
2.4086 0.82 -0.61 0.55
2.4435 0.82 -0.63 0.53
2.4784 0.82 -0.65 0.51
2.5133 0.82 -0.67 0.48
2.5482 0.83 -0.69 0.46
2.5831 0.83 -0.70 0.44
2.6180 0.84 -0.72 0.42
2.6529 0.84 -0.74 0.39
2.6878 0.85 -0.76 0.37
2.7227 0.85 -0.78 0.35
2.7576 0.86 -0.80 0.32
2.7925 0.87 -0.82 0.30
2.8274 0.88 -0.84 0.27
2.8623 0.89 -0.85 0.25
2.8972 0.90 -0.87 0.22
2.9322 0.91 -0.89 0.19
2.9671 0.92 -0.91 0.16
3.0020 0.94 -0.93 0.13
3.0369 0.95 -0.95 0.10
3.0718 0.97 -0.96 0.07
3.1067 0.98 -0.98 0.03
3.1416 1.00 -1.00 -0.00
3.1765 1.02 -1.02 -0.04
3.2114 1.04 -1.03 -0.07
3.2463 1.06 -1.05 -0.11
3.2812 1.08 -1.07 -0.15
3.3161 1.10 -1.08 -0.19
3.3510 1.12 -1.10 -0.23
3.3859 1.14 -1.11 -0.28
3.4208 1.17 -1.12 -0.32
3.4558 1.19 -1.13 -0.37
3.4907 1.21 -1.14 -0.42
3.5256 1.24 -1.15 -0.46
3.5605 1.26 -1.15 -0.51
3.5954 1.28 -1.15 -0.56
3.6303 1.31 -1.15 -0.61
3.6652 1.33 -1.15 -0.66
3.7001 1.35 -1.14 -0.71
3.7350 1.37 -1.13 -0.76
3.7699 1.38 -1.12 -0.81
3.8048 1.39 -1.10 -0.86
3.8397 1.40 -1.08 -0.90
3.8746 1.41 -1.05 -0.94
3.9095 1.41 -1.02 -0.98
3.9444 1.41 -0.98 -1.02
3.9794 1.41 -0.94 -1.05
4.0143 1.40 -0.90 -1.08
4.0492 1.39 -0.86 -1.10
4.0841 1.38 -0.81 -1.12
4.1190 1.37 -0.76 -1.13
4.1539 1.35 -0.71 -1.14
4.1888 1.33 -0.66 -1.15
4.2237 1.31 -0.61 -1.15
4.2586 1.28 -0.56 -1.15
4.2935 1.26 -0.51 -1.15
4.3284 1.24 -0.46 -1.15
4.3633 1.21 -0.42 -1.14
4.3982 1.19 -0.37 -1.13
4.4331 1.17 -0.32 -1.12
4.4680 1.14 -0.28 -1.11
4.5029 1.12 -0.23 -1.10
4.5379 1.10 -0.19 -1.08
4.5728 1.08 -0.15 -1.07
4.6077 1.06 -0.11 -1.05
4.6426 1.04 -0.07 -1.03
4.6775 1.02 -0.04 -1.02
4.7124 1.00 -0.00 -1.00
4.7473 0.98 0.03 -0.98
4.7822 0.97 0.07 -0.96
4.8171 0.95 0.10 -0.95
4.8520 0.94 0.13 -0.93
4.8869 0.92 0.16 -0.91
4.9218 0.91 0.19 -0.89
4.9567 0.90 0.22 -0.87
4.9916 0.89 0.25 -0.85
5.0265 0.88 0.27 -0.84
5.0615 0.87 0.30 -0.82
5.0964 0.86 0.32 -0.80
5.1313 0.85 0.35 -0.78
5.1662 0.85 0.37 -0.76
5.2011 0.84 0.39 -0.74
5.2360 0.84 0.42 -0.72
5.2709 0.83 0.44 -0.70
5.3058 0.83 0.46 -0.69
5.3407 0.82 0.48 -0.67
5.3756 0.82 0.51 -0.65
5.4105 0.82 0.53 -0.63
5.4454 0.82 0.55 -0.61
5.4803 0.82 0.57 -0.59
5.5152 0.82 0.59 -0.57
5.5501 0.82 0.61 -0.55
5.5851 0.82 0.63 -0.53
5.6200 0.82 0.65 -0.51
5.6549 0.82 0.67 -0.48
5.6898 0.83 0.69 -0.46
5.7247 0.83 0.70 -0.44
5.7596 0.84 0.72 -0.42
5.7945 0.84 0.74 -0.39
5.8294 0.85 0.76 -0.37
5.8643 0.85 0.78 -0.35
5.8992 0.86 0.80 -0.32
5.9341 0.87 0.82 -0.30
5.9690 0.88 0.84 -0.27
6.0039 0.89 0.85 -0.25
6.0388 0.90 0.87 -0.22
6.0737 0.91 0.89 -0.19
6.1087 0.92 0.91 -0.16
6.1436 0.94 0.93 -0.13
6.1785 0.95 0.95 -0.10
6.2134 0.97 0.96 -0.07
6.2483 0.98 0.98 -0.03
6.2832 1.00 1.00 -0.00 1 1.0172888969210643 1.0341958721565196 1.0506296270882336 1.0664818537240006 1.0816252867768077 1.0959118118300446 1.1091707665701627 1.1212076223637872 1.1318032902298176 1.1407143538230828 1.147674583957577 1.1523981213748766 1.154584709028774 1.1539272907171123 1.1501221481185455 1.1428815083831423 1.1319482201419688 1.1171116931719378 1.0982238837434026 1.0752137713327521 1.0480986149582503 1.0169903872210331 0.98209620102605122 0.94371223173137275 0.90221147896204423 0.85802653505510418 0.81162915362148802 0.76350871511038321 0.71415162745252814 0.6640233318171922 0.61355402392586478 0.56312858885316497 0.51308070053176213 0.46369063064331267 0.41518607059180596 0.367745181256875 0.32150111219041883 0.27654733204097726 0.23294324661615731 0.19071972107528082 0.14988424991732358 0.11042562350257039 7.2318020265042429E-2 3.5524511075893536E-2 -1.2710102068047561E-15 -3.4306351804820542E-2 -6.744916100047936E-2 -9.9485254192053466E-2 -0.13047243709996531 -0.1604685450079176 -0.18953072460722789 -0.21771490378782427 -0.24507541228010465 -0.2716647219739437 -0.2975332810498505 -0.32272942068524429 -0.34729931704908856 -0.37128699461406717 -0.3947343595606031 -0.41768125429208647 -0.44016552589594171 -0.46222310283591028 -0.48388807530528927 -0.50519277555907194 -0.52616785521723819 -0.5468423570267088 -0.56724377891378219 -0.58739812837433736 -0.60732996535255623 -0.62706243176273346 -0.64661726572123002 -0.66601479838179356 -0.68527393100937051 -0.70441208958478752 -0.72344515380298902 -0.74238735680716028 -0.76125115138565236 -0.78004703764407113 -0.79878334634870385 -0.81746597122070819 -0.83609804245049646 -0.85467953261589957 -0.8732067850587929 -0.89167195365842888 -0.91006234192390356 -0.92835962854676402 -0.94653896620416156 -0.96456794076306884 -0.98240537949561524 -1.0000000000000018 -1.0172888969210661 -1.0341958721565214 -1.0506296270882354 -1.0664818537240022 -1.0816252867768092 -1.0959118118300457 -1.109170766570164 -1.1212076223637886 -1.1318032902298185 -1.1407143538230835 -1.1476745839575777 -1.1523981213748768 -1.1545847090287742 -1.1539272907171119 -1.1501221481185451 -1.1428815083831412 -1.1319482201419673 -1.117111693171936 -1.0982238837434002 -1.075213771332749 -1.0480986149582465 -1.0169903872210293 -0.98209620102604678 -0.94371223173136787 -0.90221147896203957 -0.85802653505509996 -0.81162915362148413 -0.76350871511037988 -0.71415162745252514 -0.66402333181718975 -0.61355402392586311 -0.56312858885316386 -0.51308070053176169 -0.46369063064331278 -0.41518607059180684 -0.36774518125687644 -0.32150111219042077 -0.27654733204097959 -0.2329432466161602 -0.19071972107528412 -0.14988424991732727 -0.11042562350257447 -7.2318020265046842E-2 -3.5524511075898255E-2 -3.7364859470368002E-15 3.4306351804815276E-2 6.7449161000473865E-2 9.9485254192047748E-2 0.1304724370999594 0.1604685450079115 0.18953072460722159 0.21771490378781783 0.24507541228009805 0.27166472197393687 0.29753328104984356 0.3227294206852373 0.3472993170490814 0.37128699461405984 0.39473435956059566 0.41768125429207881 0.44016552589593405 0.4622231028359024 0.48388807530528127 0.50519277555906383 0.52616785521722986 0.54684235702670025 0.56724377891377376 0.5873981283743287 0.60732996535254735 0.62706243176272447 0.6466172657212208 0.66601479838178401 0.68527393100936085 0.70441208958477763 0.72344515380297914 0.74238735680715018 0.76125115138564192 0.78004703764406058 0.79878334634869308 0.81746597122069709 0.83609804245048525 0.85467953261588836 0.87320678505878124 0.89167195365841723 0.91006234192389179 0.92835962854675191 0.94653896620414923 0.96456794076305652 0.98240537949560292 0.99999999999998923 0 3.5524511075894799E-2 7.2318020265043692E-2 0.11042562350257164 0.14988424991732477 0.19071972107528207 0.23294324661615851 0.27654733204097842 0.32150111219041999 0.36774518125687622 0.41518607059180701 0.46369063064331362 0.51308070053176313 0.56312858885316586 0.61355402392586567 0.66402333181719275 0.71415162745252869 0.7635087151103841 0.81162915362148902 0.85802653505510496 0.90221147896204501 0.94371223173137331 0.98209620102605188 1.0169903872210337 1.0480986149582507 1.0752137713327525 1.0982238837434029 1.117111693171938 1.1319482201419691 1.1428815083831425 1.1501221481185457 1.1539272907171121 1.154584709028774 1.1523981213748764 1.147674583957577 1.1407143538230824 1.1318032902298172 1.1212076223637868 1.1091707665701622 1.0959118118300439 1.081625286776807 1.0664818537240004 1.0506296270882332 1.0341958721565192 1.0172888969210638 0.99999999999999933 0.9824053794956128 0.96456794076306651 0.946538966204159 0.92835962854676146 0.91006234192390123 0.89167195365842644 0.87320678505879035 0.85467953261589724 0.83609804245049391 0.81746597122070563 0.7987833463487013 0.78004703764406846 0.76125115138564969 0.74238735680715773 0.72344515380298646 0.70441208958478485 0.68527393100936795 0.6660147983817909 0.64661726572122735 0.62706243176273091 0.60732996535255357 0.58739812837433469 0.56724377891377964 0.54684235702670592 0.52616785521723541 0.50519277555906916 0.48388807530528644 0.46222310283590728 0.44016552589593866 0.4176812542920833 0.39473435956060005 0.371286994614064 0.34729931704908534 0.32272942068524102 0.297533281049847 0.27166472197394015 0.24507541228010102 0.21771490378782052 0.18953072460722403 0.1604685450079136 0.13047243709996123 9.9485254192049233E-2 6.7449161000474975E-2 3.4306351804816004E-2 -3.4301988333096448E-15 -3.5524511075898407E-2 -7.2318020265047467E-2 -0.11042562350257561 -0.14988424991732893 -0.19071972107528642 -0.23294324661616306 -0.2765473320409832 -0.32150111219042499 -0.36774518125688138 -0.4151860705918124 -0.46369063064331917 -0.5130807005317688 -0.56312858885317174 -0.61355402392587166 -0.66402333181719886 -0.7141516274525348 -0.76350871511038998 -0.81162915362149468 -0.85802653505511051 -0.90221147896205001 -0.94371223173137819 -0.98209620102605644 -1.0169903872210377 -1.0480986149582543 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-0.44016552589595015 -0.41768125429209529 -0.39473435956061248 -0.37128699461407705 -0.347299317049099 -0.32272942068525534 -0.29753328104986204 -0.27166472197395591 -0.24507541228011759 -0.21771490378783792 -0.18953072460724232 -0.16046854500793287 -0.13047243709998149 -9.9485254192070591E-2 -6.7449161000497485E-2 -3.4306351804839721E-2 -2.1561311763784496E-14 1 1 0 1 1 0 1 1 0 -1 1 0 -1 -1 0 -1 -1 0 -1 -1 0 1 -1 0
σA
σB
Coulomb-Mohr
Syt = 1
Syc = 4
Coulomb Mohr Plot Points
1 0
1 1
0 1
-4 0
-4 -4
0 -4
1 0
-4 0
-1 1
0 1
0 -4
1 -1
1 0
Note: Be sure that the graph limits create squares (same quantities horiz and vert).
1 1 0 1 1 0 1 1 0 -4 1 0 -4 -4 0 -4 -4 0 -4 -4 0 1 -4 0 -4 -1 0 1 -1 0 1 1 0 1 -4 -1 1 1 -1 0
σA
σB
