材料力学考试典型题目

1、F1F2F3l1l2l3ABCDF1F2F3l1l2l3ABCDF1FN1)(kN2001N1N1 FFFF2F1FN2F1F2F3l1l2l3ABCD)(kN1502N2N21 FFFFFFN3)(kN5003NR3N FFFDFN2 =-15kN （-）FN1 =20kN （+）FN3 =- 50kN （-）15+-2050F1F2F3l1l2l3ABCDFN2 =-15kN ( - )FN1 =20kN （+）FN3 =- 50kN ( - )F1F2F3l1l2l3ABCD)(MPa.N 8 81761761 11 1AFAB )(MPa.N 6 674742 22 2AFBC )(M

2、Pa.N 5 51101103 33 3AFDC F1F2F3l1l2l3ABCDm102.534-N 1 11 11 1EAlFlABm101.424-N 2 22 22 2EAlFlBCm101.584-N 3 33 33 3EAlFlCD-0.3mm BCCDBllumm10-0.474- CDBCABADllllD+Me2Me3Me1180)2(pepe GIaMGIaMMPa7 .69tmaxmax WT mkN292e M33. 2180)23(pepe GIaMGIaMCBBACA D+Me2Me3MeBAFlx)0()()0()(SlxFxxMlxFxF 0SFA左左FFA 右

3、右SFSxFFlxM2RRqlFFBA lqFFABx)0(222)()0(2)(2RRSlxqxqlxxqxxFxMlxqxqlqxFxFAA )0(2)(SlxqxqlxF2SqlF 2SqlF +ql/2ql/2BlqFAxF)0(222)(2RlxqxqlxxqxxFxMA lqFABxF00 Mx，0, Mlx( )d0d2M xqlqxx2lx 822maxqlMMlx+82qll/2 lqFABxF+ql/2ql/2+82qll/282maxqlM2maxSqlFlFABCabFFlFbFA RlFaFB R xxlFABCabFRAFRB)2()0()()1()0()(Saxx

4、lFbxMaxlFbxF )4()()()()()3()()()(SlxaxllFaaxFxlFbxMlxalFalblFFlFbxF )1()0()(SaxlFbxF)3()()(SlxalFaxF xxlFABCabFRAFRB+lFblFa)4()()()(lxaxllFaxM )2()0()(axxlFbxM+lFbaxxlFABCabFRAFRB+lFbalFblFaR AMFlR BMFl( )() ( )S01MFxxlllABCabFRAFRBM+MlxxlABCabFRAFRBM( ) MM xxl)0(ax ( )()MMM xx Mlxll)(lxa CMaMl左左 0M

5、 CMbMl右右+MalMbllABCabFRAFRBM+/M l+MalMbllABxFmaxwmax xlwABxF( )() (1)M xF lx ( ) (2)EIwM xFlFx 21 (3)2FxEIwFlxC 2312(4)26FlxFxEIwxCC 21 (3)2FxEIwFlxC 2312(4)26FlxFxEIwxCC 0,0 0,0 xwxw120 0CC22FxEIwFlx 2326FlxFxEIw BwmaxmaxxlyAF（ ）222max|22x lFlFlFlEIEIEI max maxw（ ）3max|3x lPlwwEI max maxwABqRR2ABql

6、FFABqFRAFRBx2( )22qlqM xxx2346qlqEIwxxC 222qlqEIwxx 341224qlqEIwxxCxD233(64)24qlxxlEI 233(2)24qxwlxxlEI 0w xABqFRAFRB A B3max24ABqlEI wmax4max25384lxqlwwEI ABFDabRAbFFlRBaFFlFRAFRBABFDab12xx1R(0)AbMFxFxxal2() ()bMFxF xaaxll11bFxEIwMl2112bxEIwFCl 31116b xEIwFC xDl22()bFxF xaEIwMl 2222()22bF xaxFEIwCl

7、33222()66bF xaxFxEIwCDl12ww12ww10w 20w 120DD2212()6FbCClbl ABFDabl12FRAFRB22211()36FbwlbxlEI 22216FbxlwbxlEI2222221()()23FblxawxlblEI b 33222() ()6FblxxawxlblEI b 10()|6AxFab lblEI 2()|6Bx lFab lalEImax()6BFab lalEI0w 10w22211()036FbwlbxlEI 221(2 )33lba abx1222 3max()0 06429 3x xFbPblw |lb.wEIlEI 22

8、2(34)0.062548CFbFblwlbEIEI1222 3max()0 06429 3x xFbFbly |lb.wEIlEIABCD1.4m0.6m15kN10kN0.8mABFemkN15 6 . 0104 . 115e MkN25 FABFMe+15kNm-20kNmmkN20max MmkN15 T)1(3243 DWMPa26.157223r WTMlFcr2l()2cr22EIFl Fcrl0.3l0.7l( . )2cr207EIFl Fcrl2cr2EIFl l 22cr)(lEIF lFcrl/4l/4l/2( / )2cr22EIFl l 22crlEIF 22cr)

9、7 . 0(lEIF 22cr)5 . 0(lEIF 22cr)2(lEIF 22cr)(lEIF scr ba cr22cr E cr PsdF1.3 a BF1.6 aCaFAal22 al3 . 11 aal12. 16 . 17 . 07 . 0 dF1.3 a BF1.6 aCaFA30mm20mmyz1p99E m0058. 002. 003. 0)02. 003. 0(1213 AIiyym0087. 0 AIizz15 . 0 zy 30mm20mmyz11586 zzzyyyilil kN5 .8922crcr zEAAF FACD1.2m1.2mB30FFRAyFRAxFyxFNAB3002 . 14 . 230sin