结构力学100道经典弯矩图及答案

结构力学100道经典弯矩图及答案

一、梁qqL /82M=qL22PLPPLPL29qL2qqL282PLLL/2LqL24LP=2qLLL(1)(2)(3)PLPLPLLqL42qP2P(4)qL8L24pLL3L5pL3L(5)qL2+M2(6)qL22qMqP=qLLqL22LqL22LLLL(8)(7)25qL22qL2(9)pL23qL22PLLM=PLpLqL22qP=qLqP=qLL2qL82qL2M=qLL2L(10)(11)(12)qqqqL28qL285qL2322qL8LL(13)(14)5qLL/4322LL/4(15)L/2

PPaPPaa2Paaa(23)2PLPL2PLPLL23PLLL(25)qqa2qa2qa2/aqa /82qa2qa22/aqa22a(27)PLPLL23PLLL(24)qa2qaqa /82qaqa /22a(26)qa2q2qa2qa2q2a2qa2aa(28)

PPa10060P=40kN10010kN/m80a100Paaa2m2m2m2m2m40kN2m(29)30kNm90320kN/m90m33m3m(31)2qL2+qL2cos2αqL22cos2αqLL(33)(30)q2/qL2L2qL222/LL(32)qqa22aqa2qaaqa22aa(34)

qL22qPLPLLqL2LPL2LPL(47)(48)qa28qqqa28Pqa28qa28LqLq5qa28qqqa285qa28N=P/22qL22qL2L(49)L无弯矩LLP2(51)P2(50)Pa2aPPa2MMMaa2aaa(52)(53)aM1.5LLLLqL2(47)LqL22qL2LL(50)Pa2aPPa2a2a(52)PL2LPL(48)PLN=P/2L5.无弯矩1LLP2(51)P2MaMMMaaa(53)2qL

9qa/2P3aaa/2a/2(55)2a3a(54)q=20kN/m25kN.m25kN.m0.5m25kN.m65kN.m50kN50kN0.5m25kN.m2m4m(56)四、三铰式刚架M/2MPLPLPPLPLMM/2M/24ma/2L/2L5qa/2Pa/2L/2L/2L/2LL/2(57)(58)a/2qa2qaqPa/2

PLPPL2qa/22qa/2q2qa/22qa/2LLaa(59)(60)qa2MMMqqa2/8M1.5aqa2qa2MaaMaa(61)(62)MMMMMqM1.5aqa2/8qa2/8aaaa(63)(64)22qa/322qa/322qa/3qqa/2a2aa(65)a22qa/31.5a1.5a2a

300kN.m60kN300kN.m2qa/22qa/82qa/21.5m23qa/8q2qa/823qa/8100kN.m200kN.m100kN.m3m5m(66)2q2q2q2mq2qq2qq2m2m2m(68)M/2M/22M/2L/L/2M/2M/2L/2L/2(70)5m1.2a5m对称1.3ma/2aaa/2(67)12kN3m36kN.m36kN.m3m2m2m(69)M/2M/2aM/43M/4aaa(71)

q=4kN/m20kN.m10kN1m1m8kN.m2m2m2m2m(83)5kN2.27kN-5kN1k.6105kN5kN2.27kN1kN3m2.27kN36kN2.27kN-3.5k36-5kNN10.6a-3.521.82kN.m-10kN-10kN21.82kN.m2qa22qa/4qaqqa/228maPa2Pa2a4Pa2aaaaa(86)aNa/2a/2(85)4X3m=12m(84)PaP

100kN.m20kN40kN.m10kN.m40kN.m10kN/m20kN40kNm20kN.m60kN.m10kN/m10kN/m20kN.m80kN.m30kN.m70kN.m4m30kN.m2m2m2m2m2m2m2m2m(87)3PP40kNP4m20kN/m80kN.m80kN.m80kN.m4m2P24m2P2m2m(89)2m2m2m2m(88)P1.5mP/2P/2PP2m2m2m2m(90)

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