1、1弯矩图百题练习(15)(14)(13)(12)(1)(10) (9)(8)(7)(6)(5)(4) (3)(2)(1)一 、 梁L/2L/4L/4qLqLqL2M=qLP=qLLLqLP=qLM=PL2PLLqLP=qLMLLqLLL L2PPLLLqLPLLPP=2qLLqLPL2PLPLLL/22M=qLqL2qL L(2)(21)(20)(19)二 、 悬 臂 式 刚 架 (18)(17)(16)PPLLL/2L/2L/2L/203PLL2M=qaP=qa P=2qa qq 4a2aaa2a2aa3aM=2qaq a2aa2m2m2m 1560q=102mM=PL3(28)(27)(2
2、6)(25)(24)(23)qq2aaaa/2q qaa/2aq qaaaPL2LLLLP2LLLP Paaa2PLq242m2m2m(34)(3)(32)(31)(30)(29)q qaaaaaLqLL/2L/2qL3m30kN20kN/m3m3m3m40kN10kN/mP=40kN2m2m2maP aa5(40)(39)(38)(37)L(36)(35)三 、 简 支 式 刚 架aaqq2aqa2 a2qaaq aaqq/2a/2qaaaa/2PLPP aaa/2aqa26(46)(45)(4)(43)(42)(41)3m4mmqqLqLLL40kN10kN/m3m3m3m 3m3maaa
3、2aqa qaaa2M=qa qa/2a/2a4P7(52) (53)(50) (51)(48)(47)a aaaMaaaPPLLL 1.5LLLLqLPP L2LLqLL (49)qa/2a8(52) (53)(50) (51)(48)(47)a aaaMaaaPPLLL 1.5LLLLqLPP L2LLqLL9(58)(57)L/2L/2 8L/2 L/2四 、 三 铰 式 刚 架 (56)LM50kN0.5m4m50kN0.5m 4m2mL/2LP(5)3a 3a2a(54)qa q q=20kN/m aa/2a/2a/2a/2P10MML LPaa2aq1.5aaaM aa1.5aqa
4、a1.5a aa1.5aqaa aaq2q(59) (60)(61) (62)(63) (64)(65)11(6)10L/2(70)L/2L/22q(68)2m2mL/2q2m2ma(71)aa2ma(69)2m12kN 3m3m1.5m5m3m 3m1.5m1.5m60kN a/2(67)aaqa/22a12五 、 复 杂 刚 架aLqPa a/21a/2a(76)aq qa(7)2a2 a2aqLL(74)La/2(72)aPL/2(75)qL/2L/2(73)aaaP aqa213q(79)4mPq=10kN/m2m12(82)2m2m 2m4m2kN2aa(80)a2aqaqaa(78
5、)aaaaaa a(81)aa aP qaa1413a2a (86) aaaa2aP(84)4X3m=12m5kN5kN 5kN2m (83)2maa8m3ma/2(85)a/2qa1m1m2m 2m10kNq=4kN/mq15(87)2m1.5mP4m24m(8)P2m2m2mP2m20kN10kN/m(90)2m20kN/m4m(89)4m2m40kN2m2m10kN/mm40kN20kN10kN/m16a(95)a aa 15aa aa(94)(93)2maaa aP4m2ma4mP4mL (91)L LqL (92)L003PL/2L/2PM17a16(10)a a a(98)10kN
6、/m2m 2m2m Lm10kN50kN2m2m20kN2m (96)2m60kNm2m 2m60kN2mm 2ma2a10kN/ma/2a/2L(9)L LPLa(97)a aPM18静定结构弯矩图百题练习答案22qL8qL222qLqL2482qL2qL8PL42qL2qL /8LM=qL2L/2 LLP2PL PL Lq LP=2qLPLLP Lq LLP2PLLLq LLM P=qLLqLL2PM=PL P=qLq LqLP=qLM=q2Lq Lq LqL/4 L/4L/2一 、 梁 (1) (2) (3)(4) (5) (6)(7) (8) (9)(10) (1) (12)(13)
7、(14) (15)2PL 9qL2PL34p5p3qL2 2 qL2qL2+pLpL 22qL 225qL3qL222qqL28 82qL 5qL23 3225qL8qL219qa23qa282qa829qaPL223L3PL3L2PL2 2PLPL2mq=1060 152m 2m2m aqM=3aa2a2aa2a4aqP=2qaP=qaM=qa2LM=PLLP30 L/2L/2L/2L/LLPP(16) (17)(18)二 、 悬 臂 式 刚 架(19) (0)(21)30552 2qaPL2PL2q428qa16q25217qa2qL(2)2qL20qa2qa222qa2qa3PL2PLP
8、L 3PLPa(28)(27)(26)(25) (24)(23)qq2aaa/2qqqaa/2aqqaaa2P2LLP2LLPPaaa2a /822qa /a222 /8 2aPL22122qaqa22qa2cos2qL2+2qL2cosqL2qL222qL90901080601010PaPa 2m2m2m(34)(3)(32)(31)(30)(29)q qaaaaaLqLL/2L/qL3m30kN2kN/m3m3m3m40kNkN/mP=40kN2m2m2maPa22415qa221qa82qa 2qaqa2qa22qa2PLPLPa22Pa2Pa(40)(39)(38)(37)(36)(3
9、5)三 、 简 支 式 刚 架aaqq2aqa2 2qaa2qaqaaqq/2a/2aaPLPPaaa/ 2a2a27a423(46)2.59q7qL24223qL34590486906904Pa334Pa4Pa2qa25qaqa2qa2qa2(5)(4)(43) (42)(41) 3m4mmqqLLL0kN1kN/m3m3m3m 33m4Paa2a qaqaaaM=q/a 3224MM2Pa2PP2无 弯 矩N=P/22qL2qLPL PL2qLqL2(52) (53)(50) (51)(48)(47)a aaaaaPLLL 1.5LLLqLPP L2LLLMPa285qa222qa822q
10、a8225(49)25MM2Pa2PP2无 弯 矩N=P/22qL2qLPL PL2qLqL2(52) (53)(50) (51)(48)(47)a aaaaaPLLL 1.5LLLqLPP L2LLLMPa226PLMM/2M/2M/225kN.m25kN.mPa/25qa/29qa/2(58)(57)(56)(5)(54)LL/2L/2PL/2L/2 LML/2q=20kN/m50kN0.5m0.5m 24m4ma/2a/2Pa3a 3a2aq26.mPL四 、 三 铰 式 刚 架272qa/32qa2qa/PL(65)(64)(63)(62)(61)(60)(59)q aaaaq 1.5
11、aaaM 1.5aaaq 1.5aaaaa 1.5aq 2aaaP LLqa/2 22MMM qa2 qa2/8M /82qaqa2/822qa/32qa/3qa/22M M q28M/43M/4 M/2M/2M/2M/236kN.m36kN.m2q2q对 称 23qa/82qa/82qa/10kN.m20kN.m30kN.m30kN.m3m1.5m15(71)(70)(69)(68)(67)(6)aaaaL/2L/2L/2L/23m2m 3m12kN2mq2q 2m2m2m 2mqa/2a/2 a 2aa1.55m3m60kN10kN.mqa/2qa/823qa/82M/2M/2M/2qq 2q2q292qa2qa2qa2qL/PaPa/4Pa/4(7)(76)(75)(74)(73)(72)五 、 复 杂 刚 架 qa2a2aq a/aaaqL/2L/2L/2q LLLL aaaP aP P2a/2aa PaPaqL/82 2qL/32qa/8qa/2 22302qa /82Fpa/2PaaaaaFp aaaaqqaa2a2aqaq aaaP2kNq=10kN/m2m2m2m 2m4m4m(78) (79)(80) (81)(8)Fpa/2对 称 a22q2qa/3 4Pa6P4P-8Pa12kN.m4kN.m8kN.m80kN.m24kN.m56kN.
