结构力学弯矩图百题练习答案.pdf

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1、静定结构弯矩图百题练习答案一、梁M=qL29qL2qL2PqL/822PLPL28qqPL2PLLqL2LP=2qL4LLLL/2(1)(2)(3)PLqP2PPP2qL24pL5pLLLqLL3L3LL4L8(4)(6)(5)22qLqL+2Mq2qMP=qLqL2qL222LLLLLL(8)(9)(7)qL23qL25qL222pL2qqP=qL2PM=PLqL2M=qL2qL2P=qLpLqL22LL2LL8L(10)(12)(11)qqq5qL2L/22232qLqL88qL2LL825qL(13)(14)L/432LL/4(15)155qa2qa230q=102060

2、2q215M=2qa52m2m2m2m2qa23qa(16)a82a2a(17)217qa28qa29qa224qaq8P=qaM=qa2P=2qaq2qa23aa2a2aaa2a4a15qa216qa2(18)二、悬臂式刚架PL2PL3PLPL222300M=PLPL/2PL2LPL/23PL3PLLL/2L/22(19)(20)qPLPLqL2L2PLL(21)(22)2PPPaPLPaaPL2Pa2Laa(23)3PLLL(24)P2PLqa2qaL2PLPL2Lqa/82qaqa/223PLaLL(25)(26)qa2qa22qa2qqaqqqa222qaa/222aq

3、a/82qaqa2a/2qa2qa22aaa(27)(28)3100P100Pa10kN/m8060P=40kN2ma10040kN2mPaaa2m2m2m2m(29)(30)30kNq903m20kN/mL/2qL2902qL23m2L/2L3m3m(31)(32)qqa2222qLqL+22cosα2qL222cosαaqaqaqLLaqa2(33)2aa(34)4PaPa22PaPaPLP2Paa/2P2PLPLa2PaaaL(35)(36)三、简支式刚架2221qaqa215qa84qa2qa2q2qaaa7qa2q42qaq/2aaa/2a/2(38)(37)2qa2

4、qa2222qaqaqqaqa2qa2aaa2a(39)(40)5qa5qa222qa22a/2a2qa2M=qa2qa3qa2qaq222a/2qaa2a(41)(42)69048039040kN10kN/m690454Pa3345a3m4Pa4Pa3a3m4Paa2a3m3m3m(43)(44)qq3qL23mqL22.595qL4m2qLLL47qL2(45)44m(46)6qL22qPPLLLLPL2LPLqL2(47)(48)2qq2qaqa88qa22qa88qq5qa22q5qa882qa8(49)7PLLqN=P/21.5L22qL2无弯矩2qLLLLLP(51

5、)PL22(50)PaaMa2PMPaM2aMa2aaa(52)(53)89qa/2qa2qaqPa/2Pa/25qa/2Pa/2a/23aaa/2a/2(55)2a3a(54)q=20kN/m25kN.m25kN.m65kN.m2m25kN.m50kN50kN25kN.m0.5m0.5m4m4m(56)四、三铰式刚架MM/2PLPLPPLPLMM/2M/2LLL/2L/2L/2L/2L/2(57)(58)9PL22qa/2qqa/2PPLqa/222qa/2L2aLaa(59)(60)qa2MqMMqa2/8M1.5aqa21.5a2MMqaaaaa(61)(62)qMMMM

6、MM1.5a1.5aqa2/8qa2/8aaaa(63)(64)22qa/322qa/32qa/3222qa/3aq2qa/2aaa(65)10300kN.m60kNqa/22qa/22300kN.m22qa/8qqa/8223qa/83qa/81.5m100kN.m200kN.m2a对称100kN.m3m1.5m1.5ma/2aaa/2(67)3m5m(66)2q12kN2q2q2m3mq2qq36kN.m2qq2m36kN.m3m2m2m(68)2m2m(69)M/2M/2M/2M/2M/2L/2aM/43M/4L/2aM/2M/2L/2L/2aa(70)(71)11PaP

7、PaPaaPa/4PPa/2a/2Pa/4aaa(72)aa(73)qqL/82LqL/2qL/322L2L/2L/2qL/2LL(75)(74)五、复杂刚架qqa22qqa22qa/222qaqaqa2a/2qa2/8a2aaa2aa(76)(77)12Fpa/2FpFpa/2qaqa2aqaqa22qa/8aa对称22qaaaaa(79)(78)PaPaqa4Pa226Pa4Paqa/23qa2a-8Paqaa2aaa(80)a(81)80kN.m24kN.mq=10kN/m4kN.m1