100道结构力学弯矩图.pdf

一、梁M=qL22qL2P9qL22PLPL28qqL/8qPL2PLLqL2LP=2qL4LL/2LL(1)(2)(3)PLqP2PPP24pLLLqL2qL5pL8L3L3LL4L(4)(6)(5)22qLqL+2M2qqMP=qLqL2qL222LLLLLL(8)(9)(7)2qL25qL223qL2pL2qqP=qL2PM=PLqL2M=qL2qL2P=qLpL22LL2qLLLL8(10)(12)(11)qqq225qL/32LqL2qL288qL2LL825qL32(13)(14)L/4LL/4(15)PPPaPLPaaPL2PaL2aa(23)3PLLL(24)P2PLqa2qaL2PLPLL2qa2qa/83PLqa2/2LLa(25)(26)qa22qa2qa2qqaqqqa222/2qaaa22qa2/8qaqa22/aqa2qa22aaa(27)(28)100P100Pa10kN/m8060P=40kNm2a10040kNm2aPaa2m2m2m2m(29)(30)30kNq90m320kN/m2/qL2L9022qL2/m2L3L3m3m(31)(32)qqa2222qLqL+22α2cosqL22α2cosqaqaqaLLa2(33)qa2aa(34)qL22qPPLLLLPL2LPLqL2(47)(48)qa2qqqa288P2qaqa288LLqqq25qaq5qa2N=P/2L882qaL58.2无弯矩12qL22qL(49)LLLP(51)PL22(50)PaMa2aPMPaM2aMa2aaa(52)(53)qL22qPPLLLLPL2LPLqL2(47)(48)PLLqN=P/2LL5.2无弯矩12qL22qLLLLP(51)PL22(50)PaMa2aPMPaM2aMa2aaa(52)(53)9qa/2qa2qaqPa/22P/a5qa/2Pa/22/aa3aa/2a/2(55)2a3a(54)q=20kN/m25kN.m25kN.m65kN.mm25kN.m50kN50kN25kN.m20.5m0.5mm44m(56)四、三铰式刚架MM/2PLPLPPLPLMM/2M/2LLL/2L/2L/2L/2L/2(57)(58)PLqa2/2qqa2/2PPL2qa2/2qa/2La2Laa(59)(60)qa2MqMMqa2/8aa55.M.qa2112MMqaaaaa(61)(62)qMMMMMMaa55..11qa2/8qa2/8aaaa(63)(64)2qa2/322qa/32qa2/32qa2/3aq2qa/2aaa(65)300kN.m60kNqa2/2qa2/2300kN.mqa2/8qa2/8m2q253qa/83qa/8.1100kN.m200kN.mm5.1a2m5对称.100kN.m1m3a/2aaa/2(67)3m5m(66)2q12kN2q2qmm32q2qq36kN.mm36kN.m2qq2m32m2m(68)2m2m(69)M/2M/2M/2M/22/M/2LaM/43M/42/LaM/2M/2L/2L/2aa(70)(71)q=4kN/m20kN.m8kN.mm110kNm12m2m2m2m(83)5kN5kN5kN2.27kN2.27kN2.27kN2.27kN1a0-5kN--5kNNN3m.k.k665131336k56.2N.k023N1qa/221.82kN.m-21.82kN.m2qaq-10kN-10kNqa2/4qaam8a/2a/2(85)4X3m=12m(84)PPaaPa2Paa24Pa2aaaaa(86)100kN.m20kN40kN.m20kN10kN/m10kN/m40kN.m10kN.m40kNm20kN.m70kN.m30kN.m20kN.m80kN.m30kN.m60kN.mm410kN/m2m2m2m2m2m2m2m2m(87)3PP40kNP20kN/mm80kN.m480kN.m80kN.mm42P24m2m2m2P(89)2m2m2m2m(88)PP/2m5.P/21PP2m2m2m2m(90)3qL2/20300302/LqL2/2qLPP2/LLLL(91)PL/2PL/2L(92)4P4P4P4Pm44PP4P4P4m2m2m4m(93)PPa/2Pa/2Pa/2aaPa/2Pa/2aaPa/2a(94)MMMMMaaaaaaaa(95)