结构力学第5章习题及参考答案5-1——5-8

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1、第5章5-1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（e)n=5(f)n=2(d)n=35-2试用位移法作图示刚架的M图。BCi2i2iDA基本结构习题5-2图30kN/mi2i2iDA4m2m2m3mBC60kN90CA45BDMP图(kNm)45=1BAC2i2iD图4i6i7.5582.5ADBCM图(kNm)52.5451567.560解iAB基本结构D2iEiiqΔ1Δ25-3试用位移法作图示刚架的M图。qlBA2ilqiiiCDEll习题5-3图3iEDiAB3ik21k11Δ1=13i/lk2

2、1k11i3i3i图及系数k11、k21的求解Δ2=1k22ABk12DEk12图及系数k12、k22的求解MP图及自由项F1P、F2P的求解DABF1PF2PqlF1PF2Pqlql152解25392811BADEM图()5-4试用位移法作图示刚架的M图。基本结构EDCBAEI=常数Δ1llFPEDCBAll习题5-4图EI=常数图3iEDCBAk113i4i2iΔ1=1EDCBMp图FPlF1PE解0.310.40.30.2BCDM图()5-5作图示刚架的M图。q=20kN/m6m12mEI®¥EI1BDCAEI1习题5-5图EI®¥

3、EI1BDCAEI1基本结构Δ16i/lB6i/l6i/l6i/l6i/lk11Δ1=160CDABk1112i/l2F1P12i/l260图及系数k11的求解MP图(kNm)及自由项F1P的求解30DA150M图(kNm)309090解5-6试用位移法计算图示结构，并作内力图。ED2m2m4m1m4m30kN/m80kNCBAEI=常数习题5-6图BDEA基本结构2i4iBA2iED图及系数k11、k21的求解4i4i4ik11D2i4ik21Δ1=1k114ik21EA2i4iB3i4i4i4i4i2ik12D4i4ik223ik12

4、Δ2=1k22图及系数k12、k22的求解BE40AMP图(kNm)及自由项F1P、F2P的求解4060154015F1P60F2PF1PF2P7652080解395601335M图()45084754925FN图()53553070533957057125FQ图()5-7试用位移法计算图示结构，并作内力图。DCBA4i4i3i基本体系3iDCBA20kN60kN/m4m4m6m4i4i习题5-7图Δ1=1k1112ik1112i12i12i12ik2112i6i图及系数k11、k21的求解k12Δ2=1k12k22k22图及系数k12、

5、k22的求解20kN120DCBAMP图(kNm)及自由项F1P、F2P的求解F1P120F2P20F1PF2PM图(kNm)80404080解20110130FQ图(kN)2020150FN图(kN)5-8试用位移法计算图示结构，并作内力图。EI为常数。EDB基本体系ACC3mEDB3m3m20kN/m40kNm习题5-8图ACCΔ1=1k112ik114i2iiEDBACCk21k21Di4i图及系数k11、k21的求解k12k224i4i3i2iD2ik123iΔ2=1k224iC4i图及系数k12、k22的求解2i40F1PD15

6、F1P40F2P151515DEF2P15CCB15AMP图(kNm)及自由项F1P、F2P的求解M图()C27517654155658651501147.51147.5解FQ图()C86519805014301080FN图()C5019802510