静定结构弯矩图百题练习答案.docx

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1、静定结构弯矩图百题练习答案一、梁2M=qL2qqL/8LL/29qLqL2P22PLPL28qPL2PLLqL2LLP=2qL4L(1)(2)(3)PLPPq2P2P4pLLL(4)qqL2qL222LLL(7)pL2PM=PLLLpL(10)qqL28qL2qLL4L8(5)M2MLL(8)qqL2qL22L8(11)qqL28L3L5pL3L(6)qL2+qL22qP=qLL(9)22qL3qL225qL22qP=qLP=qLqL2M=qL2L2L(12)q5qL2L/232

2、qL2LL5qL28(13)(14)L/432LL/4(15)552030qa2M=2qaq=10602q152m2m52m2mqa2(16)a82a3qaa(17)2217qa28qa229qa24qa2P=qaq8M=qa2P=2qaq2qa23aa2a2aaa2a4a15qa2(18)16qa2二、悬臂式刚架PL23PL2M=PL300PL3PL3PLL2(19)PLPLLPLPLPL22L/2PL2L/2PL/2L/2(20)qqL22L(21)(22)PPaPPaa2Paa

3、a(23)P2PLL2PLPL2L3PLLL(25)qaqa2qqa2a/2qa2/8qa2qa2a/2qa22a(27)PLPL2L3PLLL(24)qa2qaqa2/8qaqa2/2a(26)qa2q2qa2qa2q22aqa2aa(28)PPaaaPaa(29)30kN3m9020kN/m903m3m3m(31)qL2qL2+cos22αqL222cosαLL(33)10010010kN/m8060P=40kN2m10040kN2m2m2m2m2m(30)qqL2L/22qL2L/22

4、L(32)qqa22aqa2qaaqa22aa(34)PaPa22PaPaa/2Pa2PP2a2Paaa(35)三、简支式刚架15qa221qa284qa2qa2a7qa2q4q/2aa/2a/2(37)qa2qa2qa2qa2aa(39)PLPLPLL(36)qa2qqa2aqa2a(38)qa2qa222qqaa2a(40)a/2qa22a/2qLqa22qa2M=qa2qa2qqa2qa2a(41)(42)69048039069040kN4Pa453a4Pa4Pa3a4Paa2a3m3

5、m(43)(44)qq3qL222.595qLqL2L4L7qL24(45)4m5qa22a3qa22a10kN/m3453m3m3m3m4m(46)qL22qPPLLLLPL2LPLqL2(48)(47)qa2qqqa288qa2qa288qq5qa2q5qa288qa28(49)LqL22qL22qLLL(50)Pa2aPPa2a2a(52)PN=P/2无弯矩LLP(51)2MMMMaa(53)L5L1.P2aa9qa/2qa2qaq5qa/23a2a3a(54)q=20kN/mPa

6、/2Pa/2Pa/2a/2aa/2a/2(55)25kN.m65kN.m25kN.m50kN50kN0.5m4m25kN.m2m25kN.m0.5m4m(56)四、三铰式刚架MM/2PLPPLPLPLMM/2M/2LLL/2L/2L/2L/2L/2(57)(58)PLPPLLL(59)MMMM5a1.MMaa(61)MMMMMM5a1.qa/2qqa/2qa/2qa/22aaa(60)qa2qqa2/8qa25a1.qa2aa(62)q5a1.qa2/8qa2/8aa(63)2qa/32qa

7、/3q2qa/2aa(65)aa(64)2qa/32qa/3aa100kN.m3m2qq2qq2m300kN.m60kN300kN.m1.5m100kN.m200kN.m5m1.5m1.3m5m(66)2q2q2m2qq2m2m22qa/2qa/222q22qa/8qa/83qa/83qa/82a对称a/2aaa/2(67)12kN3m36kN.m36kN.m3m(68)M/2M/2M/2L/2L/2M/2M/2L/2L/2(70)2m2m(69)M/2M/2aM/43M/4aaa(71

8、)Pa/4PPa/2a/2Pa/4aa(72)q2LqL/8LqL/2LL(74)PaPPaPaaaaa(73)qL/2qL/32L/2L/2(75)五、复杂刚架qqa2qa/2qa2aa(76)aa/2qa2q2qa2qa2qa2/82a2aa(77)Pa/2PPa/2Pa/2Pa/2aPa/2Pa/2a对称aa(78)qa22qa/23qa2aqaa2a(80)qaqa2aqqa2qa2/8a2qa2aa(79)PaPa4Pa6Pa4Pa-8Paaaa(81)80kN.mq=10kN