mohr-circle · python · pygal · anyplot.ai-80-80-60-60-40-40-20-20002020404060608080-20-20002020404060608080100100120120mohr-circle · python · pygal · anyplot.aiNormal Stress σ (MPa)Shear Stress τ (MPa)117: 01910.3676395451835978.0117: 2.1176826971909.9570647961282954.5939292934817117: 4.2332544411908.7257498188931.2111902672705117: 6.3446063861906.6749220147485907.8750913441477117: 8.4496338891903.8066256937275884.6088944550254116: 10.546238611900.1237200358896861.4357918509475116: 12.632330621895.6298762416884838.3788829845505115: 14.705830441890.329573872349815.461151484026115: 16.764671171884.2280963845426792.7054422425406114: 18.806800511877.3315258637215770.1344386459496114: 20.830182831869.646736961365747.770639961504113: 22.832801161861.1813900421769725.636338910093112: 24.812659261851.9439235480677703.7535994443738112: 26.767783571841.9435455865323682.1442347549439111: 28.696225161831.1902247518074660.8297855264784110: 30.596061731819.6946801879608639.8314984655078109: 32.465399491807.4683709038138619.1703051212376108: 34.302375031794.5234843503554598.8668010205265107: 36.105157211780.8729242720226578.9412251378151105: 37.871948991766.5302978439695559.4134397204778104: 39.600989181751.5099021081373540.3029104897021103: 41.290554251735.8267097216544521.6286872366343102: 42.938961719.4963540317642503.4093848331338100: 44.544563261702.535113492165485.663164676063699: 46.105763521684.9598954362941468.407716583614397: 47.621004561666.7882192237291451.660241161710796: 49.088775951648.0381987765102435.43743265807194: 50.507614581628.7285245227881419.7554623210205693: 51.876106121608.8784447657988404.629962279636291: 53.192886421588.5077464967371390.0760099613039589: 54.456642911567.6367356706521376.1081130622087687: 55.666115821546.2862169650305362.740195085748686: 56.820099541524.4774730412428349.985581463283884: 57.917443751502.2322433295199337.856986271055182: 58.95705461479.5727023586207326.3664995565195680: 59.937895761456.5214376517768315.525575286724978: 60.858989531433.1014272109583305.345019930748176: 61.719417741409.336016611904295.8349816875713774: 62.518322691385.24889573274287.004940370135772: 63.254908011360.8640751393966278.863697955659570: 63.928439471336.2058621513552271.4193698116348568: 64.538245671311.2988366115796264.679376606251766: 65.083718741286.167826384797258.6504369113165564: 65.564314941260.8378826085427253.3385605050323262: 65.979555211235.3342547216394248.7490423813217160: 66.329025631209.6823652950081244.8864574716619758: 66.612377831183.9077846898988241.754656084692956: 66.829329361158.0362055687945239.3567600681467454: 66.979663961132.0934172844097237.6951596969208852: 67.063231781106.1052801723004236.771511290401849: 67.079949511080.0976997727212236.5867355614079847: 67.029800491054.0966010074187237.141016698404245: 66.91283471028.1279023371044238.433802181899443: 66.729168751002.2174899253715240.4638033352084741: 66.47898571976.3911918348025243.2289966090336339: 66.16253497950.6747522809953246.7266255985832737: 65.78013197925.0938059701695250.9532037912156335: 65.33215791899.6738525459332255.9045180418702333: 64.81905934874.440231170684261.575632772821831: 64.24134772849.4180952669808267.960894893573629: 63.59959892824.6323874440652275.053939435979427: 62.89445266800.1078146345258282.84769589898225: 62.12661184775.8688234658912291.334395296643423: 61.29684187751.9395758916995300.505577902437621: 60.40596987728.3439251063376310.352101682092119: 59.45488388705.1053917676583320.8641514065643617: 58.44453198682.2471405510771332.0312484360765715: 57.37592129659.7919570585198343.842261165451913: 56.25011704637.7622251052398356.285416120339312: 55.06824144616.179904407143369.348309693270710: 53.83147263595.0665086908657383.017920507845258: 52.54104343574.4430842484251397.280622398721337: 51.19824018554.3301889578158412.12219799447355: 49.80440141534.7478717904727427.52785288977844: 48.36091653515.715652826017443.48223039279972: 46.86922444497.2525037942188459.9694268330721: 45.33081208479.37682916356306476.9730074146262-1: 43.74721299462.1064477952754494.4760225985501-2: 42.12000572445.4585751810941512.4610249986597-4: 40.45081231429.4498062824934530.9100867734303-5: 38.74129666414.0960989884642549.8048174968615-6: 36.99316283399.4127582083444569.1263824904511-7: 35.20815342385.414420615552588.8555215980159-8: 33.38804776372.11504005743006608.9725683846309-9: 31.53466016359.52787364574965629.4574697405603-10: 29.64983813347.6654685417311650.2898058706339-11: 27.73546049336.53964944876145671.4488106491433-12: 25.79343555326.16150682527325692.9133923199663-13: 23.82569914316.5413858295336714.662154521289-13: 21.83421276307.6888760073661736.6734176139653-14: 19.82096157299.612801733083758.9252402922505-15: 17.78795241292.3212134131564781.3954414553739-15: 15.73721183285.82137946139864804.0616223181423-16: 13.67078405280.11977905364887826.9011887385354-16: 11.59072894275.22209566918986849.8913737400387-16: 9.499119941271.13321142533266873.0092602062593-17: 7.398042011267.857202210815896.2318037252082-17: 5.289589552265.3973336228673919.5358555604707-17: 3.175864315263.7560577119946942.8981857263683-17: 1.058973308262.93501053771865966.295506144116-17: -1.058973308262.93501053771865989.7044938558842-17: -3.175864315263.75605771199461013.1018142736317-17: -5.289589552265.39733362286731036.4641444395293-17: -7.398042011267.85720221081481059.7681962747913-16: -9.499119941271.133211425332661082.9907397937409-16: -11.59072894275.222095669189861106.1086262599615-16: -13.67078405280.11977905364871129.0988112614646-15: -15.73721183285.821379461398641151.9383776818577-15: -17.78795241292.32121341315641174.604558544626-14: -19.82096157299.612801733082851197.0747597077493-13: -21.83421276307.68887600736611219.3265823860347-13: -23.82569914316.541385829533451241.3378454787107-12: -25.79343555326.16150682527321263.0866076800335-11: -27.73546049336.539649448761451284.5511893508565-10: -29.64983813347.6654685417311305.7101941293658-9: -31.53466016359.527873645749761326.54253025944-8: -33.38804776372.11504005743011347.027431615369-7: -35.20815342385.41442061555191367.144478401984-6: -36.99316283399.412758208344371386.8736175095487-5: -38.74129666414.096098988464061406.1951825031388-4: -40.45081231429.44980628249311425.0899132265695-2: -42.12000572445.458575181094151443.53897500134-1: -43.74721299462.106447795275361461.52397740144941: -45.33081208479.376829163562831479.02699258537362: -46.86922444497.25250379421861496.03057316692784: -48.36091653515.71565282601681512.51776960720035: -49.80440141534.74787179047291528.47214711022187: -51.19824018554.33018895781571543.87780200552658: -52.54104343574.44308424842481558.719377601278710: -53.83147263595.06650869086591572.982079492154812: -55.06824144616.17990440714281586.651690306729313: -56.25011704637.762225105241599.714583879660715: -57.37592129659.79195705851951612.157738834548117: -58.44453198682.24714055107691623.968751563923219: -59.45488388705.10539176765841635.135848593435621: -60.40596987728.34392510633731645.647898317907723: -61.29684187751.93957589169961655.494422097562425: -62.12661184775.86882346589081664.665604703356627: -62.89445266800.10781463452581673.15230410101829: -63.59959892824.63238744406541680.946060564020631: -64.24134772849.41809526698071688.039105106426233: -64.81905934874.44023117068421694.424367227178235: -65.33215791899.6738525459331700.0954819581337: -65.78013197925.09380597016951705.046796208784139: -66.16253497950.67475228099571709.273374401416741: -66.47898571976.39119183480241712.771003390966443: -66.729168751002.21748992537161715.536196664791845: -66.91283471028.12790233710421717.566197818100647: -67.029800491054.09660100741871718.858983301595849: -67.079949511080.0976997727211719.413264438592352: -67.063231781106.10528017230011719.228488709598254: -66.979663961132.09341728440971718.30484030307956: -66.829329361158.03620556879421716.643239931853358: -66.612377831183.90778468989881714.245343915306960: -66.329025631209.6823652950081711.11354252833862: -65.979555211235.33425472163911707.250957618678364: -65.564314941260.83788260854271702.66143949496866: -65.083718741286.16782638479691697.349563088683768: -64.538245671311.29883661157961691.320623393748370: -63.928439471336.20586215135471684.580630188365472: -63.254908011360.86407513939661677.136302044340374: -62.518322691385.248895732741668.995059629864376: -61.719417741409.33601661190371660.165018312428978: -60.858989531433.10142721095851650.654980069251780: -59.937895761456.52143765177631640.474424713275382: -58.95705461479.57270235862071629.633500443480484: -57.917443751502.23224332951991618.143013728944986: -56.820099541524.47747304124231606.014418536716787: -55.666115821546.28621696503071593.259804914251489: -54.456642911567.63673567065171579.891886937791591: -53.192886421588.50774649673711565.923990038696393: -51.876106121608.8784447657991551.370037720363894: -50.507614581628.7285245227881536.244537678979796: -49.088775951648.03819877651021520.562567341928697: -47.621004561666.7882192237291504.339758838289399: -46.105763521684.95989543629371487.5922834163855100: -44.544563261702.53511349216431470.3368353239366102: -42.938961719.49635403176381452.5906151668662103: -41.290554251735.82670972165441434.3713127633655104: -39.600989181751.5099021081371415.6970895102982105: -37.871948991766.53029784396951396.5865602795225107: -36.105157211780.87292427202261377.0587748621854108: -34.302375031794.52348435035541357.1331989794735109: -32.465399491807.4683709038141336.829694878762110: -30.596061731819.69468018796031316.1685015344924111: -28.696225161831.19022475180741295.1702144735216112: -26.767783571841.94354558653231273.8557652450563112: -24.812659261851.94392354806771252.2464005556262113: -22.832801161861.18139004217691230.3636610899066114: -20.830182831869.6467369613651208.2293600384962114: -18.806800511877.33152586372151185.8655613540504115: -16.764671171884.22809638454261163.2945577574596115: -14.705830441890.3295738723491140.5388485159742116: -12.632330621895.62987624168841117.6211170154493116: -10.546238611900.12372003588961094.5642081490528117: -8.4496338891903.80662569372751071.3911055449746117: -6.3446063861906.67492201474851048.1249086558526117: -4.2332544411908.72574981879981024.7888097327298117: -2.1176826971909.95706479612821001.4060707065182117: -1.643036095e-141910.3676395451835978.0000000000001A: σx = 110 MPa, τxy = 30 MPa110: 301823.4001758750294646.4195784990893B: σy = -10 MPa, τxy = -30 MPa-10: -30349.79982412497031309.5804215009107σ₁ = 117.1 MPa (max principal)117: 01910.3676395451835978.0σ₂ = -17.1 MPa (min principal)-17: 0262.8323604548166978.0τ_max = +67.1 MPa50: 67.082039321086.6236.56363751593062τ_max = −67.1 MPa50: -67.082039321086.61719.43636248406980: 01457.2954377953324978.080: 0.28563027271457.2788431530885974.843019792999580: 0.57123497221457.2290607121167971.686322238288280: 0.85678852761457.1460949295624968.530189962849780: 1.1422653731457.0299532335584965.374905543055780: 1.4276399481456.8806460225596962.220751479367980: 1.7128867031456.6981866644126959.06801017104480: 1.9979800991456.4825914951568955.916963890854380: 2.2828946111456.2338798175642952.767894759809680: 2.5676047291455.9520738994097949.621084721900680: 2.8520849641455.637198971478946.476815518856780: 3.1363098441455.2892832253049943.335368664919380: 3.4202539231454.908357810652940.197025421638580: 3.7038917781454.4944568327194937.0620667726980: 3.9871980141454.0476173490906933.930773398718580: 4.2701472661453.5678793664165930.803425652207180: 4.5527142021453.0552858368312927.68030353237880: 4.8348735221452.5098826541084924.56168666012280: 5.1165999631451.9317186495518921.447854252963280: 5.3978683031451.3208455876227918.33908510006280: 5.6786533581450.6773181613053915.235657537252180: 5.9589299891450.0011939872106912.137849422121580: 6.2386731021449.2925336004175909.045938109135279: 6.5178576511448.551400449053905.960200424803179: 6.796458641447.7778608886115902.880912642893979: 7.0744511261446.9719841760132899.808350459701879: 7.3518102181446.1338424634048896.742788969360479: 7.6285110851445.2635107916985893.684502639214179: 7.9045289511444.3610670838534890.633765285244279: 8.1798391061443.4265921378988887.590850047553479: 8.4544168991442.4601696197008884.55602936591179: 8.7282377481441.4618860554708881.5295749553679: 9.0012771351440.4318308240197878.511757781891279: 9.2735106161439.3700961487536875.502848038181479: 9.5449138161438.276777089419872.503115119403279: 9.8154624371437.15197153359869.512827599105578: 10.085132251435.995780187906866.532253205167378: 10.353899131434.8083065690532863.561658795826678: 10.621738991433.5896569944985860.601310335788678: 10.888627861432.3399405729685857.651472872414278: 11.154541841431.059269194683854.712410511987478: 11.419457131429.7477575213359851.784386396071378: 11.683350011428.4055229758283848.867662677946878: 11.946196841427.032685731758845.962500499142678: 12.207974111425.6293687026573843.06915996605477: 12.468658361424.1956975309904840.18790012665577: 12.728226271422.7318005769025837.318978947304577: 12.986654591421.237808906729834.462653289650977: 13.243920171419.7138562812597831.619178887634577: 13.51418.1600791437631828.7888103245903Reference axesMohr's CircleA(110, 30) B(-10, -30)σ₁ = 117.1, σ₂ = -17.1 MPaτ_max = ±67.1 MPa2θp = 26.6°