静定结构弯矩图百题练习及答案

-------------静定结构弯矩图百题练习

一、梁q2M=qL2PLPPLqP=2qLLL/2LLLL(1)(2)(3)PLPLLqP2PLLLL(4)(5)(6)qMqP=qLLLLLLL(7)(8)(9)2PLLM=PLqP=qLL2M=qLqP=qLLL(10)(11)(12)qqqLLL/4LL/4(13)(14)(15)L/2

q=106015qM=2qa2m2m2m2ma2aa(16)(17)qP=qaM=qa2P=2qaq3aa2a2aaa2a4a(18)二、悬臂式刚架M=PL300PLL/2L/2PLL/2L/2(19)(20)qLPLL(21)L(22)

PPaaa(23)2PLPLL(25)qa2/aqqa22/aa(27)PLL2LL(24)qaqaa(26)qqa2aa(28)L2L

P10kN/mmP=40kNaaa2m(29)30kNm320kN/mm33m3m(31)qLL(33)240kNm22m2m2m(30)q2/L2/LL(32)qqaaa(34)aa

PPaa(35)三、简支式刚架qaaqq/2aa/2a/2(37)qa2qa2aa(39)PLL(36)qaqa2a(38)qqaa2a(40)a/2a

2/aM=qa2q2/aa(41)a4Paaa2a(43)qLqLLL(45)aqaqa2a(42)40kN10kN/mm3m33m3m3m(44)qm3m44m(46)

qPPLLL2L(47)(48)La/2qa/2

qPLqqqLaqLaL

L(49)L(51)(50)aPMa2aaa(53)aa1.5LL(47)

LqLLL(50)aPa2a(52)(48)PLL5.1LL(51)aMaaa(53)

Pa/2a/2qaqa32a3a(54)q=20kN/m50kN50kN0.5m0.5m4m(56)四、三铰式刚架MLL/2L/2L/2(57)

8aa/2a/2(55)PL/2L/2(58)4m2mL

qPLLaa(59)(60)q1.5aMaaMqa2aa(61)(62)MMq1.5aaaaa(63)(64)qaa(65)aa1.5a1.5a2a

300300LqPPLLLL/2L/2(91)L(92)mP44m2m2m4m(93)Paaaaa(94)Maaaaaaaa(95)15

10kN/m2m20kNP60kNm60kNm2m2m2aa2m2m2maaa(97)(96)P100kNm2m50kN10kN/m2mL2m2m2mLLL(99)(98)Maaaa(100)a/2a/2L

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静定结构弯矩图百题练习答案

一、梁qqL /82M=qL22PLPPLPL29qL2qqL282PLLL/2LqL24LLLP=2qL(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

55q=10203060515qa22qqa22M=2qa2m2maqa282a3qa22a2m2m(16)(17)9qaq8217qa228qa2P=qaM=qa24qa2P=2qaq2qa23aa2a15qa216qa22aaa2a4a(18)二、悬臂式刚架PL23PL2PL2L/2M=PL300PL2PL2PLL/2P3PL3PL2LL/2L/2(19)(20)qPLPLqL22LPLL(21)(22)

PPaPPaa2Paaa(23)2PLPL2PLPLL23PLLL(25)qqa2qa2qa2/aqa /82qa2qa22/aqa22a(27)

PLPLL23PLLL(24)qa2qaqa /82qaqa /22a(26)qa2q2qa2qa2q2a2qa2aa(28)

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/2MMM/2M/2PLPLPPLPL4ma/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)MMMMMqM1.5a2qa2/8qa/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)

2/Pa/4PPa2/Pa/4aaa(72)qqL/82LLqL/22LL(74)五、复杂刚架qqa2qa/222qa2/aaaa(76)PaPPaPaaaaa(73)qqL/322L/2L/2(75)qa2q2qa2qa2qa2/8a22aa(77)2/L

Fpa/2FpFpa/2qaqa2aqqa22qa /8对称a2qa2aaaa(79)(78)PaPaqa2qa/24P3qa2aa2a6Pa-8Pa4Paaa2a(80)aaaq(81)80kN.m24kN.mq=10kN/m4kN.m12kN.m8kN.m2kN2m2m56kN.m2m2m4m(82)4ma

q=4kN/m20kN.m10kN1m1m8kN.m2m2m2m2m(83)5kN2.27kN-5kN-3.510N1k.65kN5kN2.27kNN1k3m2.27kN36kN2.27kN-3k36.5-5kN10.6a21.82kN.m-10kN-10kN21.82kN.m2qa22qa/4qaqqa/228maNa/2a/2(85)4X3m=12m(84)Pa2Pa2a4Pa2aaaaa(86)aPaP

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)

3qL/22L3003002/LqL/22qLPP2LL/LPL/2PL/2L(92)4P4P4P4Pm44PP4P4m4P2m2m4m(93)PPa/2aPa/2Pa/2aPa/2aPa/2aPa/2a(94)MMMMMaaaaaaaa(95)(91)

10kN/m20kN.m2Pa40kN.m20kN.m20kN.m2m20kNP2Pa60kNm60kN.m60kNm2m2m2aa2m2m2maaa(97)(96)3PL2m5kN.m100kN.m100kNmPL50kN4PL2mP5kN.m10kN/m2PLL2m2m2mLLL(99)(98)MaaMaa(100)a/2a/2L6P4P-2P

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