哈工大王焕定版结构力学第6章参考答案.pdf

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1、王焕定版结构力学第6章习题答案6-1试确定图示结构位移法的基本未知量。解(a)n=2(b)n=1(c)n=2(d)n=3(f)n=2（e)n=56-2试用位移法作图示刚架的M图。Δ1Δ130kN/m60kNABCA2i2i2iB2iCi4miDD3m2m2m基本结构习题5-2图906iΔ1=145Δ1ACACB4iB2i45DD2iMP图(kNm)M图182.5解kFΔ+=067.51111P60ACki==12，F−45kNmB111P1552.515Δ=kNm⋅14iD7.5M=Δ+MM11PM图(kNm)6-3试用位移法作图示刚架的M图。Δ2qlABAB2i2iiilqq

2、DEiiDiCiEΔ1ll基本结构习题5-3图k21k213iAB3iii3i/l3ik11DE3ik11Δ1=1M1图及系数k11、k21的求解6iΔ2=1l2A6ik22Bl26i3i3illl3iDk12E2lk12M2图及系数k12、k22的求解qlF2PqlF2PABql2ql222qlql8338F1P5qlqlD28qlF1P6MP图及自由项F1P、F2P的求解解152kkΔ1++ΔF=0111221PABkkΔΔ1++F=0112222P39iiki=7，，k==k−k=111221222ll1139ED52221FF==ql，ql1P2P28252481323

3、19Δ=−ql，Δ=−ql12ql272ii54M图(×)726-4试用位移法作图示刚架的M图。EEFPlΔ1Δ1DABDABlEI=常数EI=常数CCll基本结构习题5-4图EEk112i3iΔ1=1FPlDA3iBBD4iF1PCCMp图M图1E解1kFΔ+=01111P0.4Dki==10，FFl111PP0.20.30.3BFlPΔ=−110iCM图(Fl)P6-5作图示刚架的M图。ΔEI→∞EI→∞1CDCDEI1EI16mEI1EI1q=20kN/mABAB12m基本结构习题5-5图6i/l6i/lΔ1=160kCD6i/l11BAB6i/l6i/lk11F1P12

4、i/l212i/l260M1图及系数k11的求解MP图(kNm)及自由项F1P的求解解9030kFΔ+=01111P30D24ikF==,6−0kN1121PlA25l15090Δ=−kN12iM图(kNm)6-6试用位移法计算图示结构，并作内力图。C80kNΔ1Δ2DE1mDEBBEI=常数4m30kN/mAA4m2m2m基本结构习题5-6图4iΔ1=1k21k11DEk11k21B4iD4i2i2i2iA4iM1图及系数k11、k21的求解Δ2=13ik122ik22Ek12k22BD2i4i3i4iAM2图及系数k12、k22的求解6015F1PF2PE40F1PF2PB

5、1560A4040MP图(kNm)及自由项F1P、F2P的求解765解2080395kkFΔ1++=Δ060111221P450kkFΔΔ1++=0212222Pki==82，，kki==ki711122122FF=−25kNm，=60kNm1P2P1335295265Δ=kNm，Δ=−kNm112M图(kNm)52ii262649258475535530705339570571251k⋅N1k⋅NFN图(×)FQ图(×)1041046-7试用位移法计算图示结构，并作内力图。60kN/mΔ120kNACA4iB4i4iB4iCΔ23i3i6mDD4m4m基本体系习题5-7图Δ1

6、=112ik11k1112i12i12i12i12ik216i3i1mM1图及系数k11、k21的求解k12k12Δ2=13ik221m3i1mk3i221mi21mM2图及系数k12、k22的求解120F1PF1P20kNCF2PAB120F2P20DMP图(kNm)及自由项F1P、F2P的求解80解40kkΔ1++ΔF=040111221PkkΔΔ1++F=0212222P3iiki==36，，kk=−k=1112212221m1m80FF==120kNm，20kN1P2P2M图(kNm)20kNm40kNmΔ=−Δ=−123ii130202015020110FN图(kN)

7、FQ图(kN)6-8试用位移法计算图示结构，并作内力图。EI为常数。40kNmΔ1DDEEΔ23mBCBC20kN/m3mAA3m基本体系习题5-8图Δ1=1k11i2ik11D4iEk21kDi212iBC4iAM1图及系数k11、k21的求解k122i4ik123i4iDk223iΔ=14iC2k222i4i2iM2图及系数k12、k22的求解F1P4015D15EF1P40F2P15DF2PBCA151515MP图(kNm)及自由项F1P、F2P的求解解1765kkFΔ1++=Δ011