材料力学习题答案哈工业大材料力学本科生试卷和课后题目

材料力学习题答案2-4a)MPa15MPa,10yxxb)MPa3.7MPa,3.47yxxc)MPa65MPa,5.12yxxd)MPa6.60MPa,35yxxe)MPa5.20MPa,49.0yxxf)MPa0MPa,2.38yxx2-6a)MPa32,0219MPa,7MPa,57max21b)MPa32,0219MPa,7MPa,57max21c)MPa25,45MPa,25MPa,25max21d)MPa2.41,9537MPa,2.71MPa,2.11max21e)MPa7.44,7113MPa,7.84MPa,7.4max21f)MPa32,0219MPa,27MPa,37max212-8a)略略；；))cos),cos1(,0),cos1(0max0320cbx2-101071MPa，02，203MPa2-113.43xyMPa，3.43yxMPa，50yMPa2-137.841MPa，202MPa，7.43MPa，1001IMPa，8002I（MPa）2，240003I（MPa）32-14a)701MPa，602MPa，303MPa，70maxMPa，20maxMPab)501MPa，502MPa，303MPa，50maxMPa，10maxMPa3-1εx=0,εy=c，εz=kx+iy+2gz，γxy=b，γyz=ix+2fy+jz+d，γzx=2ex+iy+kz。3-3ε30°=5.5×10-7m/m，γ30°=8.66×10-7rad，αγmax=45°。3-4ε30°=-4.33×10-9m/m，γ30°=-5×10-9rad，αεmax=135°，εmax=4.33×10-9m/m。3-7ε45°=5.5×10-8m/m，γ45°=-6×10-8rad；εmax=8.04×10-8m/m，αεmax=4.73°；γmax=6.08×10-8rad，αγmax=-40.25°。3-8εx’=εxcos2φ+εysin2φ+γxycosφsinφ，εy’=εxsin2φ+εycos2φ-γxysinφcosφ，εz’=εz，γx’y’=(εy-εx)sin2φ+γxycos2φ，γy’z’=γyzcosφ-γzxsinφ，γz’x’=γyzsinφ+γzxcosφ。3-10ε45°=γxy/2。3-11εx’=εxcos2φ+εysin2φ+γxycosφsinφ，εy’=εxsin2φ+εycos2φ-γxysinφcosφ，εz’=0，γx’y’=(εy-εx)sin2φ+γxycos2φ，γy’z’=0，γz’x’=0。3-12εmax=150×10-6m/m，εmin=-150×10-6m/m，γmax=300×10-6rad。3-13ε3=-200×10-6m/m，εmax=290×10-6m/m，εmin=-210×10-6m/m，γmax=500×10-6rad。3-14830×10-6m/m。3-15εx’=-335×10-6m/m，εy’=-25×10-6m/m，γx’y’=-237×10-6rad。3-16εx’=-523×10-6m/m，εy’=243×10-6m/m，γx’y’=-663×10-6rad。3-17εx=253×10-6m/m。3-191)εmax=1130×10-6m/m，εmin=-128×10-6m/m，4°35´，94°35´；2)εmax=940×10-6m/m，εmin=-340×10-6m/m，19°20´，109°20´。4-1GPa70E，33.0v4-2GPa208E，32.0v4-3MPa100，4105，kN85.7F4-4kN20F4-5MPa8.531，MPa3.2634-6a）3101.0，33m/J105.22e，33m/J107.21feb)31012.0，33m/J101.20e，33m/J109.18fec)31026.0，33m/J101.48e，33m/J105.42fe4-901，MPa8.192，MPa6034-10a)021，b)qvv121，q34-11mm00126.03mm538V4-12630100.665-3σtmax=16.7MPa,σcmax=20MPa5-4σAB=–47.4MPa,σCB=104MPa5-55-6F=25.13kN5-7σt=100MPa5-8σmax=76.4MPa5-10uB=EAFL3(→)5-11Δl=214dEdPl5-12σAC=100MPa,σBD=100MPa,vG=0.75mm(↓)5-13Δl=–12mm5-14σ1=127MPa,σ2=63.7MPa5-15A点位移是3.78mm5-16K=0.729kN/m3，Δl=1.97mm5-17σtmax=AF32,σcmax=AF35-18σ1=138.33MPa,σ2=138.33MPa5-19σ1=AF65，σ2=AF3，σ3=–AF65-20σ1=-14.14MPa，σ2=16.33MPa，σ3=191.8MPa5-21vA=EAFl2(↓)5-2224.89MPa5-23σ1=-36.44MPa，σ2=–59.11MPa5-24σ1=σ3=–8MPa，σ2=–2MPa5-25σAD=σAE=σAB=0.241lE，σBD=σBE=–0.139lE5-26σAC=TE52,σBD=TE515-28σd=422D,EDD4235-29EAglWl26-2313kW。σ(MPa)τ(MPa)0º30º45º60º90º10075502500–43.3–50–43.306-4τρ=35MPa;τmax=87.6MPa。6-5d1=45mm;D2=46mm。6-761.2MPa.。6-818.47kW。6-9空心轴τmax=41.1MPa,实心轴τmax=23.8MPa。6-101.τA=20.4MPa,γA=0.255×10-3rad;2.τmax=40.8MPa,φ=1.17°/m。6-11（空心圆轴外径/实心轴直径）×（1+α2）；（空心圆轴外径/实心轴直径）2×（1+α2）。6-12τmax=16.3MPa,φ=0.58°/m。6-131.τmax=46.6MPa;2.Pk=71.8kW。6-14（略）6-15d=74mm。6-161.τmax=40.1MPa;2.τ1=34.4MPa;3.φ=0.565°/m。6-17τmax=25MPa;Φ=3.59°。6-18闭口薄壁杆,M=10.35kN·m;开口薄壁杆,M=0.142kN·m。7-8ddmaxDE7-9MPa159max实，MPa6.93max空，减少41%7-10B截面MPa6.93t，C截面MPa9.173t，MPa9.173max7-11MPa174max，MPa9.47max，MPa2.34缝7-12A点：MPa67.161，02，MPa67.163B点：MPa6.1671，02，MPa97.03C点：MPa67.6661，02，03D点：同C点E点：03217-14kN15F7-15MPa7.89s,MPa36.3W7-16MPa3.115s,MPa3.15W7-17MPa120max7-20a）zBEIlq2430，zBEIlqv3040b）zBEIql48133，zBEIqlv384714c）zBEIPl893，zBEIqlv48294d）zBEIql483，zBEIqlv384547-21a）zAEIqlv2454，zBEIql123b）zAEIqav384814，zBEIql48133c）zAEIqlv164，zBEIql123d）zAEIqav64，zBEIql241137-2232la7-23zEIPxxv3)(37-24MPa7.32maxt，MPa7.33maxc8-1（略）8-2198.04972.9tanzyWW，即2.11a8-383.95.25maxx，MPa8-4153maxxMPa8-56.12HMPa，7.4HMPa；9.43KMPa，0K8-604.9maxtxMPa8-77.55maxxMPa8-89.26maxtxMPa，3.32maxcxMPa8-9140maxMPa，8-10点b:240bMPa，（其余略）8-11（略）8-128.1051MPa，02，8.253MPa，5.100xFkN，2.657xMNm8-1312HxMPa，1.19HxzMPa，261HMPa，02H，143HMPa；98.3KxMPa，1.19KxyMPa，2.171KMPa，02K，2.213KMPa8-14B截面上：2121MPa，02，6.43MPa8-151.14HxMPa，6.0HxzMPa8-168.41axMPa，3.16axzMPa，4.471aMPa，02a，6.53aMPa；3.82bxMPa，3.16bxyMPa，1.31bMPa，02b，4.853bMPa8-17H：78.6HxMPa；J：39.4JxMPa8-18a：0ax，7.26axzMPa；c：24cxMPa，3.21cxyMPa9-2EIMlvc162，EIMlA69-3逆时针）(45),(12523EIFaEIFavAB9-4EIFRAB229-5)(36.3),(5.033EIFRvEIFRuBB9-6)(123逆时针EIqlA；)(48134EIqluA9-7)(8)((2)(12212httalhttalCA顺时针），9-8顺时针）)(2)((6xlxlEIlFxA9-9a)6.75FL/(EA)(→);b)4.75FL/EA.9-105FL3/(48EI)(↓);3FL2/(8EI)()).9-11qL4/(768EI)(↑);qL3/(384EI)()).9-121)ML/(3EI)());2)ML/(6EI)());3)ML/(24EI)()).9-134.07mm(↓).9-142FL3/(3EI)(→),FL2/(6EI)()).9-15841mm.9-16180MPa.9-177.11mm;140.1MPa.9-18EIFl3239-1932)(48114gWlglvEIWWlzd9-20.EAWlEIglgvAWd31310-1a)2次b)1次c)6次d)4次e)5次f)1次10-2B=EIEALFL32310-3vD=5.05mm10-4Fc=24.08KN10-5EIqL11527410-6略10-7a)FCX=-PFcy=2PFBx=PFBy=2Pb)FAY=RMo4FBY=-RMo4FBX=0MB=0.273MouA=-EIRMo2210-8略10-9略10-10FBC