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1、靜定結(jié)構(gòu)彎矩圖百題練習(xí) (15)(14)(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)一、梁 L/ 2L/4L/4q Lq L q L2M=qLP=qL L qLqLP=qLM=PL2P LLqLP=qL MLLqLLLL2PPLLLqLPLLPP=2qLLqLPL2PLPLLL/22M=qLqL q L L(22)(21)(20)(19)二、懸臂式剛架(18) 2M=qaP=qaP=2qaqqqaPL2PLqqa40kN10kN/mLLL50kN50kN2mq=20kN/m1.5a1.5a5m3m3ma/2aaL (17) (16) PPLLL/2L/

2、2L/2L/2030PLL4a2aaa2a2aa3aM=2qaqa2aa2m2m2m1560q=102mM=PL (28)(27)(26) (25)(24)(23)q q2 aaaa/2q qaa/2aqaa2LLLLP2LLLPPaaaqa2 2m2m2m(34)(33)(32)(31)(30)(29) qqaaaaaLqLL / 2L/2qL3m30kN20kN/m3m3m3m40kN10kN/mP=40kN2m2m2maPaa (40)(39)(38)(37) L(36)(35) 三、簡(jiǎn)支式剛架aa qq2aqa2a2qaaaaqq/2a/2aaa/2PLPPaaa/2aqa2 (46)

3、(45) (44) (43) (42)(41)3 m4m4m qqLqLLL 3 m3m3m3m3maaa2aqaqaa2a2M=qaqa/2a/2a4Pa (53)(50)(51)(48)(47)aaaaMaa2aPPLLL1.5LL LqLP PL2LLqLL q(49)qqqqa/2a/2aa (52)(53)(50)(51)(48)(47) aaaaMaa2aPPL1.5LLLLq (58)(57) L/2L/28L/2L/2四、三鉸式剛架(56)LM0.5m4m0.5m4mL/2LP(55)3a3a2a(54)qaqaa/2a/2a/2a/2P M MLLPaa2aqaaMaaqaa

4、1.5aMaa1.5aqaaaaq2qa(59)(60)(61)(62)(63)(64)(65) (66)10 L/2(70)L/2 L/2 2q(68)2m2mL/2q2m2m a(71)aa2ma(69)2m12kN3m3m1.5m1.5m1.5m60kN(67)a/22a 五、復(fù)雜剛架 a L q P aa/2a/2 a(76) a qqa(77)2a2a2aqLL(74)La/2(72)aPL/2(75)qL/2L/2(73)aaaPaqa2 aa20kN20kN2qL /8qq=102mPaa2PaaPa2PaPa/2aqa2M=qaqL2L5qa/2qaPPa/4PFpa/2對(duì)稱q

5、=4kN/m40kN.m2m4m20kN3qL/220kN.m20kNq2aaaaaPqaa2m2m2m2m10kNq=4kN/m10kN/mm40kN20kN10kN/m003030m10kN/mqLM=qLP2PLPL9qL222m60152m2maqM=2qa30555202PaPaLP2LPa8060100100PaPa2m2m10kN/mP=40kN2maPL2PaLP2Pa2Pa2qa25qaqa22qa22qa2qaPN=P/2PLLPa/2a/2Pa/2q2qaPa/22qa/2qLqa/22qa/2PL3qa/82qa/8qa/2100kN.m200kN.m300kN.m30

6、0kN.m1.5mq1.5m60kNqa/83qa/82PaPa/4aPPa/2a/2PaPaaaFpqaFpa/2qa20kN.m8kN.m10kN1m2m2m80kN.m100kN.m60kN.m30kN.m70kN.m10kN.m30kN.m2m2m2m2m2m2mm40kN20kN10kN/m10kN/m20kN.m20kN.m40kN.m030030L/220kN.m40kN.m20kN.m60kN.m2m2a60kNmm60kN10kN/m2m2ma22P2qa/2q2221mPL2PaqL1m/2q(79)aaaaa1m10kN/m2m2mPLq3qa2a/2a2qa /82qa

7、22qa2m10kN/maaL/2aa(17)40kN2maa25La/22a2aa3a2Pa22a/4mPaaqa(78)(80)qq=10kN/m2a(81)2m2m2m2m4m2kN(82) a2a(86)aaaa2 aP(84) 4X3m=12m5kN5kN5kN(83)aa8m3ma/2(85)a/2qaq (87) 2m1.5mP2m4m224m(88)P2m2m2m2m 2mP2m2m2m2m(90)2m20kN/m4m(89)4m2m40kN2m2m2m2m2m a(95)aaa15aaaa(94)(93)2maaaaP4m2ma4mP4mL(91)LLqL(92)LPL/2P

8、M a16(100)aaa(98)10kN/m2m2m2mLm100kN50kN2m2m2m(96)2m60kNm2m2m60kN2m2ma2aa/2a/2L(99)LLPLa(97)aPM 靜定結(jié)構(gòu)彎矩圖百題練習(xí)答案 22qL 8qL2 22qL qL2482 qL 8PL 42 qLL2L/2LLLLP=2qLPLLPLqLLLP2PLLLLqLLMP=qLLqLL2PM=PLP=qLLqLqLP=qLM=qL2LqLqLqL/4L/4L/2一、梁(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)2PLPL34pL5pL3qL22M2qL

9、2qL22+pLpL22qL225qL3qL2222qLqL2882qL5qL2323225qL8qL2 qa2 3qa2282qa82 9qaPL223PL3PL3PL2PL22PL PL3aa2a2aaa2a4aqqP=2qaP=qaM=qa2LM=PLLP300L/2L/2L/2L/2LLPP(16)(18)二、懸臂式剛架(19)(20)(21)2qaPL2PL22qa4qa228qa16qa215qa217qa22qL(22)22qL qa2qa2222qa22qa2qa3PL2PLPL3PL (28)(27)(26)(25)(24)(23)qq2aaaa/2qqaqaa/2aqqaa

10、a2PLPL2LLLLLqa /822qa /2qa22qa2qa2qa /82qa2 22qaqa222qa2cos2qL2+2qL22cosqL2qL2222qL9090100(34)(33)(32)(31)(30)(29)qqaaaaaLqLL/2L/2qL3m30kN20kN/m3m3m3m 415qa221qa2822qa22qa qa2qa22qa2qa2Pa(40)(39)(38)(37)(36)(35)三、簡(jiǎn)支式剛架aaqq2aqa2a2qaa2qaqaaqq/2a/2qaaaa/2Laaqa227qa4 (46) 2.595q7qL24qL24223qL34545390480

11、6906904Pa334Pa4Pa(45)(44)(43)(42)(41)3m4m4mqqLqLLL40kN10kN/m3m3m3m3m3m4Paaaa2a2a MM2Pa2PP2無彎矩N=P/222qL2qL2 PLPL 2qL2(52)(53)(50)(51)(48)(47)aaaaMaa2aPPLLL1.5LLLLqL PL2LLqL MPa285qa22qa82qa88qa22qa8qqq8qa225qa8qq(49) MM2Pa2PP2無彎矩22qL2qL2PLPL2qL(52)(53)(50)(51)(48)(47)aaaaMaa2aPLL1.LL2LLLMPa2 PL MM/2M

12、/2M/2 25kN.m25kN.m 9qa/2(58)(57)(56)(55)(54)LL/2L/2PL/2L/2LML/2q=20kN/m50kN50kN0.5m0.5m2m4m4m3a2a65kN.m25kN.m25kN.mPLPLPL四、三鉸式剛架 22qa/32 qaPL(65)(64)(63)(62)(61)(60)(59)qaaaaq1.5aaaM1.5aaaq1.5aaaaa1.5aaaL22qa/2MMMMqa2qa2/8MMMM/82qaqa2/82qa/322qa/3222qa/3qa/222MMMqa M/43M/4M/2M/2 M/2M/2 36kN.m36kN.m

13、2q2q對(duì)稱23m1.5m(71)(70)(69)(68)(67)(66)aaaaL/2L/2L/2L/23m2m3m12kN2mq2q2m2m2m2ma/2a/2a2a5m3m100kN.m2M/2M/2M/2qq2q2q 2 qa22qa 2qa2qL/2(77)(76)(75)(74)(73)(72)五、復(fù)雜剛架qa2a2aqa/2aaaqL/2L/2L/2qLLLLaaaaaqL/822qL/322qa/8qa/222qaqa2 Paaaaaa2a2aaqaqaaaaaP2kNq=10kN/m2m2m2m2m4m4m(78)(79)(80)(81)(82)2qa/23qa24Pa6Pa

14、4P-8Pa12kN.m4kN.m8kN.m80kN.m24kN.m56kN.m Pa4PaPa2Pa2qa2 qa/22qa/42 (86)(85)(83)2m2m2aaaaa a2aPqa/2aqaa a/221.82kN.m21.82kN.m(84)5kN5kN5kN4X3m=12m3m8m-3.536kN2.27kN2.27kN-5kN-10kN10.61kN2.27kN2.27kN-5kN10.61kN-3.536kN-10kN P/2PPP/2 80kN.m P3P2m2m2m(90)(89)(88)(87)P2m2m2m2m1.5m20kN/m40kN2m2m4m4m22PP2m4m80kN.m80kN.m2P MPa/2

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