强度准则

TopicTopicTopicStrengthCriterionsStrengthCriterionsStrengthCriterions1.1.1.][σσσ≤=1eq1][σσσ≤=1eq1][σσσσ=→nbb1][σσσσ=→nbb1][σσσσ=→nbb1][σσσσ=→nbb1][)(σσσνσσ≤+−=321eq2][)(σσσνσσ≤+−=321eq2[]EnEEEbbb][)(σσσεσσνσε=→=+−=32111[]EnEEEbbb][)(σσσεσσνσε=→=+−=32111[]EnEEEbbb][)(σσσεσσνσε=→=+−=32111[]EnEEEbbb][)(σσσεσσνσε=→=+−=32111][σσσσ≤−=31eq3][σσσσ≤−=31eq322212131max][)(σσστσστ=→=−=nsss22212131max][)(σσστσστ=→=−=nsss22212131max][)(σσστσστ=→=−=nsss22212131max][)(σσστσστ=→=−=nsss[]][)()()(σσσσσσσσ≤−+−+−=213232221eq421[]][)()()(σσσσσσσσ≤−+−+−=213232221eq421()()()[]21323222161σσσσσσνϕ−+−+−+=ED()()()[]21323222161σσσσσσνϕ−+−+−+=ED222313131][σνσνσνϕEnEEssDs+=+→+=222313131][σνσνσνϕEnEEssDs+=+→+=2.2.2.PPMMPPMMTTPPPPPPTTττσσ22122τσσσ++=22122τσσσ++=22322τσσσ+−=22322τσσσ+−=22eq34τσσ+=22eq34τσσ+=22eq43τσσ+=22eq43τσσ+=ττσσσσMMTTddWM=σWM=σpWT=τpWT=τ3321dWπ=3321dWπ=22eq34+=PWTWMσ22eq34+=PWTWMσ22eq31TMW+=σ22eq31TMW+=σ22eq4431TMW+=σ22eq4431TMW+=σ22eq43+=PWTWMσ22eq43+=PWTWMσ3161dWpπ=3161dWpπ=WWp2=WWp2=τττσσσ][422eq3στσσ≤+=][422eq3στσσ≤+=τττ0=σ0=σ][2στ≤][2στ≤τττ2][][στ=2][][στ=3][][στ=3][][στ=()][700.5][στ.−=()][700.5][στ.−=AAAP1BAPP11BBAAP2BAPP22BBAAaPT1=aPT1=LPMz1=LPMz1=2PN=2PN=aPMy2=aPMy2=P1=2kNPP11=2=2kNkNP2=3kNPP22=3=3kNkNL=400mmLL=400mm=400mma=300mmaa=300mm=300mmd=50mmd=d=50mm50mmMPa45241631max.===daPWTpπτMPa45241631max.===daPWTpπτxxxyyyzzzP2PP22P1PP11LLLaaaABBBdddσσNNσσMMττP2PP22xxxyyyzzzLLLABBBdddP2aPP22aaP1PP11xxxyyyzzzLLLaaaABBBdddP1aP2PP22P1PP11xxxyyyzzzLLLaaaABBBdddP2PP22P1PP11222122)()(aPLPMMMzy+=+=222122)()(aPLPMMMzy+=+=2221332)()(aPLPdWMM+==πσ2221332)()(aPLPdWMM+==πσMPa531422.===dPANNπσMPa531422.===dPANNπσMPa6599.=+=NMσσσMPa6599.=+=NMσσσMPa0111422eq3.=+=τσσMPa0111422eq3.=+=τσσAAAMPa1298.=MPa1298.=xxxyyyzzzLLLaaaABBBdddP2PP22P1PP11σσNNσσMMττ2PN=2PN=aPMy2=aPMy2=LPMz1=LPMz1=P1=2kNPP11=2=2kNP2=3kNPP22=3=3kNkNkNd=50mmd=d=50mm50mmL=400mmLL=400mm=400mma=300mmaa=300mm=300mmxzxzxz0=∑Cm0=∑CmkN6221=++=baaPPRDz)(kN6221=++=baaPPRDz)(0=∑Dm0=∑DmkN14221=+++=babaPPRCz))((kN14221=+++=babaPPRCz))((kNm24.==aRMCzAykNm24.==aRMCzAykNm81.==aRMDzBykNm81.==aRMDzByxxxyyyzzzP1+P2PP11+P+P22AAABBBCCCDDDAAABBB4.24.24.21.81.81.8xxxyyyzzzGGGaaaP1PP11P2PP22aaaGGGbbbABxxxyyyzzzP1PP11P2PP22xxxyyyzzzP1+P2PP11+P+P22RCzRRCzCzAAABBBCCCDDDRDzRRDzDzP1=15kNPP11=15=15kNkNP2=5kNPP22=5=5kNkNG=5kNGG=5=5kNkND=300DD=300=300a=300aa=300=300b=400bb=400=400[σ]=150MPa[[σσ]=150]=150MPaMPaABABAB0=∑Cm0=∑CmbabaGPPGaRDy+++++=221))((babaGPPGaRDy+++++=221))((0=∑Dm0=∑DmbaaGPPbaGRCy+++++=221)()(baaGPPbaGRCy+++++=221)()(kN19=kN19=kN11=kN11=kNm24.=AyMkNm24.=AyMkNm81.=ByMkNm81.=ByMkNm33.==aRMCyAzkNm33.==aRMCyAzkNm75.==aRMDyBzkNm75.==aRMDyBzxxxyyyzzzP1+P2+GPP11+P+P22++GGAAABBBCCCDDDGGGxxxyyyzzzP1+P2+GPP11+P+P22++GGAAABBBCCCDDDGGGRDyRRDyDyRCyRRCyCy3.33.33.35.75.75.7xxxyyyzzzAAABBB4.24.24.23.33.33.35.75.75.71.81.81.8xxxyyyzzzAAABBBGGGaaaP1PP11P2PP22aaaGGGbbbABxxxyyyzzzP1PP11P2PP22xyxyxyABABAB22eq4431TMW+=σ22eq4431TMW+=σ312243][32+≥TMdσπ312243][32+≥TMdσπ][σπ≤+=2234332TMd][σπ≤+=2234332TMdd=75mmdd=75mm=75mm()mkN512121⋅=−=.DPPT()mkN512121⋅=−=.DPPTmm674.=mm674.=BBBkNm34522.=+=AzAyAMMMkNm34522.=+=AzAyAMMMkNm98522.=+=BzByBMMMkNm98522.=+=BzByBMMMkNm24.=AyMkNm24.=AyMkNm81.=ByMkNm81.=ByMkNm33.=AzMkNm33.=AzMkNm75.=BzMkNm75.=BzM4.24.24.23.33.33.35.75.75.71.81.81.8xxxyyyzzzAAABBBGGGaaaP1PP11P2PP22aaaGGGbbbABxxxyyyzzzP1PP11P2PP22ABABABxxxMMMxxxMMM222zyMMM+=222zyMMM+=baxMy+=baxMy+=dcxMz+=dcxMz+=()()222dcxbaxM+++=()()222dcxbaxM+++=()()()cdcxabaxMx+++=22dd2()()()cdcxabaxMx+++=22dd2()()cdabxca+++=2222()()cdabxca+++=2222()()02dd22222≥+=caMx()()02dd22222≥+=caMxAAABBB4.24.24.23.33.33.35.75.75.71.81.81.8xxxyyyzzz30°3030°°a=300aa=300=300L=200LL=200=200F=2kNFF=2=2kNkNKKKd=75dd=75=75D=80DD=80=80FKKKFxFFxxFyFFyyL=200LL=200=200aaaFxFFxxFKKKFxFyFFyyFxFFxxFxaFFxxaaaaa)(2201cos304απσ−==DFAFxN)(2201cos304απσ−==DFAFxNMPa852.=MPa852.=)(430max1cos3032απσ−==DFaWMM)(430max1cos3032απσ−==DFaWMMMPa4345.=MPa4345.=FKFFKKFFxFyFFFFxxFFyyFKKKFxFyFFyyFxFFxxFxaFFxxaaaaaFKKKFxFyFyaFFyyaaaaaFyFFyy)(430max1sin3016απτ−==DFaWTp)(430max1sin3016απτ−==DFaWTpMPa1213.=MPa1213.=maxMNσσσ+=maxMNσσσ+=MPa2848.=MPa2848.=MPa954422eq3.=+=τσσMPa954422eq3.=+=τσσd=75dd=75=75D=80DD=80=80FxFFxxL=600LL=600=600F=2kNFF=2=2kNkNa=150aa=150=150d=40dd=40=40AAABBBCC330.=ν330.=νMPa60][=σMPa60][=σEIFLvAF33−=EIFLvAF33−=EIRLvMAR33=EIRLvMAR33=avBARTϕ=avBARTϕ=0=Av0=Av0313323=−++EIFLEILRaEIRL)(ν0313323=−++EIFLEILRaEIRL)(ν22131LaFR)(ν++=22131LaFR)(ν++=F54=F54=ARAARRLLLFFFaaadddAAACCBBBLLLFFFaaaRRRAAACCBBBdddFFFAAACCBBBRRRAAACCBBBRRRAAACCBBBRRRAAACCBBBaGILRaP⋅=aGILRaP⋅=EILRa21)(ν+=EILRa21)(ν+=LLLFFFaaadddAAACCBBBABABABFLLRFM51=−=)(FLLRFM51=−=)(FaRaT54==FaRaT54==22eq47501TMW.+=σ22eq47501TMW.+=σ2232212532125aLdFaLWF+=+=π2232212532125aLdFaLWF+=+=π][MPa550σ=.][MPa550σ=.330.=ν330.=νMPa60][=σMPa60][=σττσσFR54=FR54=LLLFFFaaaRRRAAACCBBBdddCCCLLLbbbdddM022=−=EImLEIPLθ022=−=EImLEIPLθPLm21=PLm21=EImLEIPL2323−=δEImLEIPL2323−=δEIPL123=EIPL123=312LEIPδ=312LEIPδ=δδδδδδmmmPPPmmmPPPb/2b/b/22δδ