1、静定结构弯矩图百题练习答案一、梁2M=qL2q qL /8 LL/29qLqL2P22PLPL28qPL2PLLqL2LLP=2qL4L(1)(2)(3)PL P Pq2P2P4pLLL(4)qqL2 qL222LLL(7)pL2PM=PLLLpL(10)qqL28qL2qLL4L8(5)M2MLL(8)qqL2qL22L8(11)qqL28L 3L5pL3 L(6)qL2 +qL22qP=qLL(9)22qL3qL225qL22qP=qLP=qLqL2M=qL2L2L(12)q5qL2L/232qL2LL5qL28(13)(14)L/4 32LL/4(15)552030qa2M=2qaq=1
2、0602q152m2m52m2mqa2(16)a8 2a3qaa(17)2217qa28qa229qa24qa2P=qaq 8M=qa2P=2qaq2qa23aa2a2aaa2a4a15qa2(18)16qa2二、悬臂式刚架PL23PL2M=PL300PL3PL 3PLL2(19)PL PLLPLPLPL22L/2PL2L/2PL/2L/2(20)qqL22L(21)(22)PPaPPaa2Paaa(23)P2PLL2PLPL2L3PLLL(25)qaqa2qqa2a/2qa2 /8qa2qa2a/2qa22a(27)PLPL2L3PLLL(24)qa2qaqa2 /8 qaqa2 /2 a(
3、26)qa2q2qa2qa2q22aqa2aa(28)PPaaaPa a(29)30kN3m9020kN/m903m3m3m(31)qL2qL2 +cos22qL222cosLL(33)10010010kN/m8060 P=40kN2m10040kN2m2m2m2m2m(30)qqL2L/22qL2L/22L(32)qqa22aqa2qaaqa22aa(34)PaPa22PaPaa/2Pa2PP2a2Paaa(35)三、简支式刚架15qa 221qa 284qa2qa2a7qa 2q4q/2aa/2a/2(37)qa2qa2qa 2 qa 2aa(39)PL PLPLL(36)qa 2qqa
4、2aqa2a(38)qa2 qa222qqaa2a(40)a/2qa22a/2qLqa22qa2M=qa2qa2qqa2qa2a(41)(42)69048039069040kN4Pa453a4Pa4Pa3a4Paa2a3m3m(43)(44)qq3qL222.595qLqL2L4 L7qL24(45)4m5qa22a3qa22 a10kN/m3453m 3m3m3m4m(46)qL22 qPPLLLLPL2LPLqL2(48)(47)qa2qqqa288qa2qa288qq5qa2q5qa288qa28(49)Lq L22qL22qLLL(50)Pa2aPPa2a2a(52)PN=P/2无弯矩
5、LLP (51)2MM MM aa(53)L5L1.P2aa9qa/2qa2qaq5qa/23a2a3a(54)q=20kN/mPa/2Pa/2Pa/2a/2aa/2a/2(55)25kN.m65kN.m25kN.m 50kN 50kN0.5m4m25kN.m2m25kN.m0.5m4m(56)四、三铰式刚架MM/2PLPPLPLPLMM/2M/2LLL/2L/2L/2L/2L/2(57)(58)PLPPLLL(59)MMMM5a1.M Maa(61)MMMMMM5a1.qa/2qqa/2qa/2qa/22aaa(60)qa2qqa2/8qa25a1.qa2aa(62)q5a1.qa2/8 q
6、a2 /8aa(63)2qa/32qa/3q2qa/2aa(65)aa(64)2qa/32qa/3aa100kN.m3m2qq2qq2m300kN.m60kN300kN.m1.5m100kN.m 200kN.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)Pa/4 PPa/2a/2Pa/4aa(72)q2LqL/8LqL
7、/2LL(74)PaPPaPaaaaa(73)qL/2qL/32L/2L/2(75)五、复杂刚架qqa2qa/2qa2aa(76)a a/2qa2q2qa2qa2qa2/82a2aa(77)Pa/2PPa/2Pa/2Pa/2aPa/2Pa/2a对称aa(78) qa22qa/23qa2aqaa2a(80)qaqa2aq qa2qa 2 /8a2qa2aa(79)PaPa4Pa6Pa 4Pa-8Paaaa(81)80kN.mq=10kN/m 24kN.m4kN.m12kN.m8kN.m2kN4m56kN.m2m2m2m2m4m(82)q=4kN/m8kN.m20kN.m1m10kN1m2m2m2
8、m2m21.82kN.m(83)5kN5kN5kN2.27kN2.27kN2.27kN2.27kN10-5kN-5kN61kN3m.536kN.361kN536kN.103-10kN-10kN8m4X3m=12m(84)Pa2Pa 4Pa2aaaa21.82kN.m 2qa22q qa/2qaqa/4aa/2a/2(85)Pa Pa2aaa(86)100kN.m20kN40kN.m20kN40kN.m 10kN.m10kN/m40kN m10kN/m20kN.m30kN.m 70kN.m20kN.m80kN.m30kN.m60kN.m4m10kN/m2m2m2m2m2m2m2m2m(87)3P
9、PP20kN/m40kN4m80kN.m4m80kN.m2P24m2m2m2P(89)2m2m2m2m(88)PP/25m1.P/2PP2m2m2m2m(90)80kN.m23qL/2qL/2qLLL(91)L300300L/2PPL/2PL/2PL/2L(92)4P4P4P4P4PP4P4m4P2m2m4m4m(93)PPa/2Pa/2Pa/2aaPa/2Pa/2Pa/2aaa(94)MMMMMa a aaaaaa(95)10kN/m20kN.m2Pa20kN40kN.m2m2Pa20kN.m20kN.m60kN m2m2a60kN.m60kN m2maaaa2m2m2m(97)(96)3PL100kN.m2mPL.50kNm5kN100kN m4PL6P4P-2Pm2PL.10kN/m2mN5kLLLL2m2m2m(99)(98)P PL2M/aMM2M MMaaaa(100)a/2 a/2
