1、材料力學第五版劉鴻文主編第八章組合變形 = =+ + += =+ + 0 AFN zzIyM zzNIyMAF 02FFN 41maxlFM xxFN圖圖M圖圖F2F1/4 AFNt WMbmax AFt2 WlFWMb41max WlFAFbtt412max - max maxtt maxcc FACD1.2m1.2mB3002 . 14 . 230sin0 FNBCFAmFNBCF FFFFFFRAyyRAxx5 . 00866. 00 FFRAyFRAxFyxFNBC30FACD1.2m1.2m30BAFAFRAx866. 0 zzRAybWFWF6 . 02 . 1max MPa37.

2、946 . 0866. 0max zcWFAFFFRAyFRAxFyxFNAB30FACD1.2m1.2m30Byzz0z1350FF5050150150yzz0z1350FF5050150150nnFNMyyFFMFFyN22105 .4210)5 . 735( yzz0Pa1515FAFN nnFNMyyzz0z15050150)(MPa53105 . 74250max FIMyytz )(MPa53105 .124251max FIzMyyc 5050150150yzz0z1拉拉nnFNMy53105 . 742515 maxmaxtttFF 505015015

3、0yzz0z1拉拉壓壓nnFNMy53105 .12425maxccFAF 5050150150yzz0z1拉拉壓壓nnFNMyaaaa112214)2(aFaFAFAFN aa2 22 22 22 22 26 61 12 22 2aFaaFaaaFWMAFN / 8 84 42 22 22 2 aFaF/yzebhmmyze2 21 1FFF eFmz 2 221FFF eFmz 2AFFAFN21 6/22bheFWMzz 06/2221 bheFAFF 6/ )2(221bhFAFFe yzeO1yzFA(yF,zF)e (O1yzA(yF,zF)F FzFyFyFemFzFem cos

4、sinyzO1Fx FyO1nnyzMyMz FzzFyyFymMFzmM yzMyMz(y,z)AFAFN yFyyIzzFIzM zFzzIyyFIyM ,zFyFNIyyFIzzFAF yzMyMz(y,z)zFyFNIyyFIzzFAF 22zzyyiAIiAI )1(22zFyFNiyyizzAF )1(22zFyFNiyyizzAF 012020 zFyFiyyizzOz中性軸中性軸中性軸中性軸(yF , zF )012020 zFyFiyyizzFyzFzyziayia22 yz0中性軸中性軸外力作用點外力作用點中性軸中性軸1(1,1)2(2,2)(abcyyzzyzFyF/Wz

5、FzF/Wyyz1D2中性軸中性軸ZFyFWyFWzFAF minmax max 中性軸中性軸ayazFFziayiayzzy2 22 2 (yF,zF)中性軸中性軸ayazyz中性軸中性軸中性軸中性軸(yF,zF)(yF,zF)(yF,zF)截面核心截面核心y中性軸中性軸ayaz(yF,zF)zyFyzFaizaiy2 22 2 截面核心截面核心 OdA1 11,2zyada422diizy ,82162121dddaiyyzF 0121 zyFaiz1d/8 2bBCDyzO 112121222232hibhbhbAIizyy 112zyaha62122211hhhaiyyzF 0121

6、zzFaiz 1B01234 26 60 02 22 2bzyFF ,)0,6(h),(6 60 0b 3hbABCDyz00 01 12 22 2 FzBFyByiyziz2341 0 10202 yiyzizzPyP313324hb 0122 FzBFyByiyzizB01234 LaABCFBFmxlaABCAAFmmFlA截面截面 C3C4TC3C4C2C1 C2C1A截面截面 1C3C4 C2C1TC3C4C2C1(Analysis of strength condition)C1 2222314212)2(2 02 223134 r 2243 r C1 r223134 r2243

7、r1WTMWTWMtr2222223)(4)(4 WTMWTWMtr222222475. 0)(3)(3 21623dWWt 1ABCD1.4m0.6m15kN10kN0.8mABFmABCD1.4m0.6m15kN10kN0.8mmkN156 . 0104 . 115 mkN25 FABFm+15kNm-20kNmmkN20max MmT kN1 15 5)1(3243 DWMPa26.157223 WTMrzxyABl/2l/2m22)(221DFDFFm kN3202 FkN20 FmmF=3F2zxyABl/2l/2m+T=1kNm+1kNm1223 TMWr323dW mm83.44

8、 dmmF=3F2mkN1 TmkN1max MBACDyz5kN10kN300mm300mm100mmx1.82kN3.64kNBACDyz5kN10kN300mm300mm100mmx1.82kN3.64kNxyzACBD5kN1kNm1.82kN3.64kN10kN1kN.m1CT 圖圖-My圖圖0.57CB0.36Mz圖圖0.2271CBxyzACBD5kN1kNm1.82kN3.64kN10kN1kN.mmkN36. 0mkN57. 0 yByCMMmkN1mkN227. 0 zBzCMMmkN227. 0mkN57. 0zCyC MMCT圖圖-My圖圖0.57kNmCB0.36kNmMz圖圖0.2271CBmkN1mkN36. 0zByB MMmkN1 CBTTmkN063. 122 zByBBMMMmkN36. 022 zCyCCMMM WWTMBBr137275. 0224323dW mm519m51901010010137232363.d400400400400mkN4 . 0kN12 mFmkN4 . 0mkN8 . 04 . 08 . 0max21max TFFM WT