《材料力學(xué)電子教案：第四章 彎曲內(nèi)力》由會(huì)員分享，可在線閱讀，更多相關(guān)《材料力學(xué)電子教案：第四章 彎曲內(nèi)力（90頁(yè)珍藏版）》請(qǐng)?jiān)谘b配圖網(wǎng)上搜索。
1、234567 8AB對(duì)稱軸對(duì)稱軸縱向?qū)ΨQ面縱向?qū)ΨQ面梁變形后的軸線與梁變形后的軸線與外力在同一平面內(nèi)外力在同一平面內(nèi)梁的軸線梁的軸線FRAF1F2FRB9。FAAAA10AAAFRAyAFRAxFFM11 1213 BAalFFFFRBABF , , () , RRR0000 xAxAByAyFFFaMFlF laFFl14MFRAxFABFmmxRAyFSCFFRBFSCM() , , SRR00yAyCAyF laFFFlMMFx15FSdxmmFS+dxmmFSFS16；mm+MMmm（受壓）（受壓）MM170AMFRBBdEDAabclCFF1F2FRA021R bFaFlFB0BM0
2、)()(21R blFalFlFAlblFalFFA)()(21R lbFaFFB21R 18 BdEDAabclCFF1F2FRAAEcFSEFRA00SR EAyFF,F0, 0R cFMMAEEAEFFRS cFMAE R19AEcFSEFRAa-cb-cCDl-cBEFSEF1F2 0yF021RS FFFFBE0ME0)()()(21R McbFcaFclFEB+cFMAE RAEFFRS 20 BdEDAabclCFF1F2FRAFdBFSFMFFRB,SRR0000yFBFFBFFFMMFd-+BFFFRS dFMBFR 21 niiFF左（右）1S 22 mkkiniiMaFM
3、左（右）左（右）左（右）左（右）1123F2=FACDBbacF1=FFF kN60RR FFFBA24F2=FACDBbacF1=FFRBkN601SFFCmkN061 .bFMC060601RS FFFADmkN8 .13)(1R FacFacFMAD25C12MkN4RSS1 ACFFF左mkN41R1 ACFMM左kN4)4(RS2S BCFFF右mkN651)4()152(R2 .FMMBC右B1m2.5m10kNmAC12FF26 27 xFS(x)FS 圖的坐標(biāo)系圖的坐標(biāo)系OM 圖的坐標(biāo)系圖的坐標(biāo)系xOM(x)28BAFlx)0()()0()(SlxFxxMlxFxF 0SFA左
4、左FFA 右右SFSxFFlxM292RRqlFFBA lqFFABx)0(222)()0(2)(2RRSlxqxqlxxqxxFxMlxqxqlqxFxFAA 30)0(2)(SlxqxqlxF2SqlF 2SqlF +ql/2ql/2BlqFAxF31)0(222)(2RlxqxqlxxqxxFxMA lqFABxF00 Mx，0, Mlx( )d0d2M xqlqxx2lx 822maxqlMMlx+82qll/232 lqFABxF+ql/2ql/2+82qll/282maxqlM2maxSqlF33lFABCabFFlFbFA RlFaFB R34 xxlFABCabFRAFRB)2
5、()0()()1()0()(SaxxlFbxMaxlFbxF )4()()()()()3()()()(SlxaxllFaaxFxlFbxMlxalFalblFFlFbxF 35)1()0()(SaxlFbxF)3()()(SlxalFaxF xxlFABCabFRAFRB+lFblFa)4()()()(lxaxllFaxM )2()0()(axxlFbxM+lFba36xxlFABCabFRAFRB+lFbalFblFa37R AMFlR BMFl( )() ( )S01MFxxlllABCabFRAFRBM+Ml38xxlABCabFRAFRBM( ) MM xxl)0(ax ( )()MM
6、M xx Mlxll)(lxa CMaMl左左 0M CMbMl右右+MalMbl39lABCabFRAFRBM+/M l+MalMbl4041ABFlxlxlFFA)(R lFxFB RxlxlFxFMAC)(R 0ddxMC0)2(xllF2lx 422lx xlxlFxFMAC)(R FlM41max43xyq(x)FM44xyq(x)FMFS(x)M(x)FS(x)+dFS(x)M(x)+dM(x)mmnnq(x)C .nxmmn dx4502d)d(d )()( )(d)( 0 S xxxqxxFxMxMxMMCFS(x)M(x)FS(x)+dFS(x)M(x)+dM(x)mmnnq
7、(x)C0d)()(d)()( 0SSS xxqxFxFxFFx )(d)(dSxqxxF)(d)(dSxFxxM46)(d)(dSxqxxF)(d)(dSxFxxM)(d)(d22xqxxM47xFS(x)OxOM(x)(d)(dSxqxxF)(d)(dSxFxxM)(d)(d22xqxxM48xFS(x)OxOM(x)(d)(dSxqxxF)(d)(dSxFxxM)(d)(d22xqxxMOM(x)x49)(d)(dSxqxxF)(d)(dSxFxxM)(d)(d22xqxxM50FCMC或或q0FMC51)(d)(dSxqxxF ( )( )2211SddxxxxFxq xx()()(
8、)21S2S1dxxFxFxq xx()()( )21S2S1dxxFxFxq xx52)(d)(dSxFxxM( )()()21S21dxxFxxM xM x()()( )21S2S1dxxFxFxq xx)()(2S1SxFxF53k623R.FA kN27R BFBACD2001151265FFFF231kN6 .23RS AAFF右5423.61.727+BFRBACD2001151265FFFRA231kN27RS BDFF右kN0S右右BFkN27SmaxFkN7 . 1RS FFFAC右554.723.11+BACD2001151265FFFRAFRB231mkN11. 3115
9、. 0R BDFM0MBmkN72. 4max MmkN72. 42 . 0R ACFM0MA56BACD2001151265FFFRAFRB2314.723.11+23.61.727+57 FEqABCD0.21.612kN806 . 11005 . 0RR BAFF58+80kN80kNkN80RS AAFF右 kN80RS ACFFkN80RS BDFFkN80RS左 BBFFkN0S右右BF kN80maxS FFEqABCD0.21.612593m4mABCDE4m4mFRAFRBF1=2kNq=1kN/mM=10kNmF2=2kNkN7R AFkN5R BFkN7RS AAFF右k
10、N34RS qFFAC左kN141RS FqFFAC右kN3R2S BDFFF603m4mABCDE4m4mFRAFRBF1=2kNq=1kN/mM=10kNmF2=2kNkN3R2S BFFFkN22S FFB右kN7S 右右AFkN3S 左左CFkN1S 右右CFkN3S DF01RS FqxFFAx7kN1kN+3kN3kN2kNx=5m610MA 2R7164DBMFMF左左5 .20maxMMF647R2 BDFFM右632 FMB0 ME201666+20.53m4mABCDE4m4mFRAFRBF1=2kNq=1kN/mM=10kNmF2=2kN204242R qFMAC623m
11、4mABCDE4m4mFRAFRBF1=2kNq=1kN/mM=10kNmF2=2kN7kN1kN+3kN3kN2kNx=5m201666+20.56310.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m64 81kN31kN29kN+10.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m650RS qxFFBxm45. 1R qFxBx=1.4581kN31kN29kN+10.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m66kN mAAMM右右9 96 6. .5 5mkN5 .15181MMAE05
12、. 031MMECmkN31131MMCD96.515.53110.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m67 R1KBFMMmkN345129.maxR2 45BMFMmkN5545.122q5kN mBMM左左0MB右右96.53115.5x+5534510.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m68+10.5113F=50kNM=5kNmAECDKBFRAFRBMAq=20kN/m69abcd18kN2kN14kN3m3m6m+( )SddFq xxkN18SFB左左kN2S FB右右CABDF=20kN70(
13、)SddFq xx( )SSd6dDCcq xxqFFkN/m26)2()14( qabcd18kN2kN14kN3m3m6m+q=2kNCABDF=20kN71)(d)(dSxFxxM( )SdbBAaMMFxxmkN543180abcd18kN2kN14kN3m3m6m+cbSBCxxFMMd)() 542348 kN m0Md48dab54c+7240kNmabcd2m2m2m+)(d)(dSxFxxM( )SSd2cCBbFxxFMMS0 4020kN22CBMMFabcd20kN73Me)(ddxqxFS0MA左左mkN40右右AM40KNmabcd2m2m2m+abcd20kNBC
14、AD0SFB左左kN20SFB右右kN20SFB左左0SFB右右FF74 )()()(),(Sn21S11S21SnnFFFFFFFFFF (,)()()()121122nnnM F FFM FMFMF75xF=ql/3ql76xF=ql/3ql2)(2qxFxxMxqxFxxMF )(2)(2qxxMq2)(2qxFxxM77Fxqxlqx+FxxMF)(Fl2)(2qxxMq22ql+-62ql62ql812ql78BCF2F3aDEF1AaaaF1291acebdF2e122+acbd215acebdF3aaaa79291acebdmkN1312152112229121)()(MCBCF
15、2F3aDEF1Aaaa122+acebd215acebd291215131acebd80ABC8182alF1F2ABCM(x)FN(x)FS(x)CxF1x83alF1F2ABCFS(x)CBaF1F2FN(x)M(x)x840 FN圖圖F1|CalF1F2ABFS圖圖F1+F2+85CalF1F2ABF1aF1aF1a+F2l 8687FOR ScosFF NsinFF sinMFR 0sin0N FFFn0cos0S FFFt0sin0CMMFR FtnC FNFS O+MFR88q qmmxOFRAB( )()() ()cos1cos0MFxF RRFRqqqqqqqq ( ) ()S1sin0FFFqqqqqq ( ) ()N2cos0FFFqqqqqq 89O+FS圖圖ABOM圖圖2FROFN圖圖FF+xOFRq qmmAB( )()() ()cos1cos0MFxF RRFRqqqqqqqq ( ) ()S1sin0FFFqqqqqq ( ) ()N2cos0FFFqqqqqq
材料力學(xué)電子教案：第四章 彎曲內(nèi)力
