《【材料力學(xué) 課件】PPT-第七章 應(yīng)力和應(yīng)變分析 強(qiáng)度理論》由會員分享，可在線閱讀，更多相關(guān)《【材料力學(xué) 課件】PPT-第七章 應(yīng)力和應(yīng)變分析 強(qiáng)度理論（127頁珍藏版）》請在裝配圖網(wǎng)上搜索。
1、Chapter7 321 F l/2l/2 S 21 3 aFz y z yFS y xz AFWT 34 St2 zzx WM1t1 WT t3 WT z yFSz y zzx WM3 p Dyz p4 2DpF DA 4 4 2 pDDDpAF l pyFN FNd 0 yF 2 0l plD 2pD plDDpl dsin20 xyz xya ea xya ea ea ea 0sin)sind(cos)sind( cos)cosd( sin)cosd(d0 AA AAAF yyx xxyn 2cos2sin2 2sin2cos22 xyyx xyyxyx 0cos)sind(sin)si
2、nd( sin)cosd(cos)cosd(d0 AA AAAF yyx xxyt yx 90 222 2222 cossin sincosxyyx xyyxyx 02cos2sin22dd xyyx 0 2tan2 xyx y 9000 2222 sincos xyyxyx 2222 xyyxyx )(minmax 222 2222 cossin sincosxyyx xyyxyx ） 02sin2cos22dd xyyx xy yx 22 1 tan 9011 222 cossin xyyx 222 xyyx )(minmax xy yx 22 1 tanyx xy 22 0tan 10
3、212 tantan 4,222 0101 A a l A50070 xyyx , 429.10)70( 50222tan 0 yx xy 5625270 . xA A MPaMPa)(minmax 962622 22 xyyxyx MPa,MPa 96026 321 n30efMPa3.58 )60sin()50()60cos(2 60402 6040 2sin2cos2230 xyyxyx MPa3.18)60cos()50( )60sin(2 60402cos2sin230 xyyx 16040 50222 0 )(tan yx xy 135452 0 567 5220 . MPa7.6
4、0MPa7.80)2(2 22minmax xyxyx MPa7.60 0 MP7.80 321 1 yx xy 22 0tan 90902 0 45450 45 2222 xyyxyx )(minmax 1 cossin sincos 222 2222 xyyx xyyxyx 2222 22 xyyxyx )()( ),( 02 yxC 222 xyyxR )( xy D xyO xy x Ayyx D 222 xyyxR )( D xyO x Ayyx D 22121 yxOBOAOBOAOBOC )()( 2222 2 xyyxADCACD )(2 yx D xyO x Ayyx D F
5、xya )22cos( 0 CEOCCFOCOF 2222 00 sinsincoscos CDCDOC 2222 sincos xyyxyx 2222 22 00 sincoscossin )sin( CDCDCEFE o 222 cossin xyyx AB A 12211 22 max)( xyyxyxCAOCOA 22211 22 min)( xyyxyxCBOCOB 2 D xyO x Ayyx D FB1 A1 D xyO x Ayyx D2 A1B1yx xyCADA 22 0)(tan yx xy 22 0tan ( ) 0 22 arctan xyx y D xyO x Ay
6、yx D2 A1B1 G1 G2max)( 221 2 xyyxCG min)( 222 2 xyyxCG 2 21 minmax A C B(-1,-0.2)D D(-0.4,0.2) A DC BD 120 1515 2709 z250kN1.6m2mA BC +200kN 50kN+ 80kNm250K N1.6m2mA BCzIMy 46 33mm1088 1227011112300120 zI mm135ay dI SF z z*S 32560005715015120 mm).(* zaS 120 1515 2709 zMPa5.122 azCa yIM MPa.*S 664 dIS
7、F z zaa a C AB (122.5 , 64.6)D(0 , - 64.6) A1A2MPa27 MPa15022 11 OAOA 452 0 5.220 MPa MPa 2 270150 31 5220 . a120 15 15 2709 zMPa5.136 bzCb yIM 0b mm150by b 0,MPa5.136 321 b (136.5 , 0)D(0 , 0) 1 3 12221 1 23 321 A1O 2 BC3 121 23 A1O 2 BC31 max A1O 2 BC3)(21 31max MPa20z 40MPaxyz 20MPa20MPa20MPa MPa
8、MPa MPa MPa 2020 2040 yxy xyx A1A2 O C 13MPamax 36 yO xyOy x xyOy x sindcosdd yxxOP AB dxdy dx AB dxdy xyOy xxPPAA xd DOP DP cosdcos xPPDP x 2coscosd cosd1 xx xxOPDP AP AB dxdy xyOy xyPPBB ydOP sindsin yPPDP y D 2sinsind sind2 yy yyOPDP PB AB dxdy xyOy xyPPBB xyd OP cosdcos yPPDP xy cossinsind cosd3
9、 xyxyy yOPDP 321 cossinsincos 22 xyyx )sincos(cossin)(2 22 xyyx 2sin212cos22 xyyxyx 2cos212sin22 xyyx 22 2 )()(21 22minmax xyyxyx yx xy 02tan 2cos2sin2 2sin2cos22 xyyx xyyxyx xyz z xzy E xx E yx E zx xyz z )(1 zyxx E )(1 xzyy E )(1 xyzz E Gyzyz Gxyxy Gzxzx zyx , zxyzxy , Gyzyz Gxyxy Gzxzx )(1 zyxx E
10、 )(1 xzyy E )(1 xyzz E Gxyxy )(1 yxx E )(1 xyy E )( xyz E xyz xy xyyx xy xyyx )(1 3211 E )(1 1322 E )(1 2133 E )(1 211 E )(1 122 E )( 123 E , , 123 1 2 3 321 321 3211 ddd ddd)1(ddd ddd ddd)1(d)1(d)1(d zyx zyxzyx zyx zyxzyxV VV )(21 321 E )(1 3211 E )(1 1322 E )(1 2133 E xy 31 02 03 321m m mmm321 )(2
11、1 E E mm m m321 E mm m 123 dx dy dz m mmm321 21 1E E )(21 321 E )(21 zyx E MPa30 1.0 10300 2 33 AF aa aFz y xz xy)(1 3211 E )(1 2133 E 15.5MPa )30(0.34-1 0.34)0.34(1 1 )1( 23221 MPa25.7)(21 31max 43 321 1095.1)3025.15(10100 34.021 )(E21 MPa303 MPa51521 . Me MeA 45 x yxyx 22minmax )2(2 0 2tan2 x y EE
12、 1)(1 311 321 0 450 451 11 EMPa2.802121)1(2 te11 WMEG 13 Dy MeK 45 090 0 x 0z Dy MeK 45 090 0 xMPa80max1 y MPa80max3 x xy k 13 max max 4max maxmax102.5)1( )(1)(1 E EE yxx 41 102.5 x 0)()( maxmax EE yxz 0)( z E b hzb=50mmh=100mmaAF1F2 F2l MPa202 AF MPa3023 S AF A x = 20MPa4.21 MPa4.41)2(2 22minmax xy
13、xyx 4.411 02 4.213 4311 104.2)(1 E 5312 103)( E 4133 107.1)(1 E 020 zyx 410 E xx 5103 xy E 5103 xz E 0.5 0.5 0.25F A 04590 90450 , h/4 25.02 FMA MPa8.50 AzAA yIM )(MPa8.68*S dI SF z zAAA*zAS zA h/42S FF A A = 50.88.500 A 090 y E 00 E 090 MPa2.9490sin90cos2245 xxx MPa3.43270sin270cos22135 xxx 6135450
14、 10536)(1 E 0.5 F 0.5 0.25A 04590 h/4 A = 50.8 22 2221 EEv ( ) 1 1 2 2 3 312v ( ) 2 2 2 1 2 3 1 2 2 3 3 11 22v E dVv v v (a) 1 2 3 (b) m m m=(1+ 2+ 3)/3 ( ) ( ) ( ( )( )( ) 2 2 2 2 2 2b b m m m m m m2m 21 2 31 223 1 221 26Vv v EEE ( ) ( ) ( ) a a d aVv v v ( ) ( ) b bVv v( ) ( )a bV Vv v)(21 321 E (
15、 ) 2 2 2 1 2 3 1 2 2 3 3 11 22v E ( ) ( ) ( ) 2a b 1 2 31 26V Vv v E( ) ( ) ( ) d 2 2 21 2 2 3 3 116 Vv v v E (a) 1 2 3 maxNmax AF maxmax WM z S AF tmaxmax WT *maxmaxSmax bI SF z z Eb1 )(1 3211 E )( 321 2smax s31 31max )(21 31 ( ) ( ) ( ) 2 2 2d 1 2 2 3 3 12s161 26v E E 2d s1 26v E )()()(21 21323222
16、1 )()()(21 )( 2132322214r 313r 3212r 11r r 阿 托 莫 爾 (O.Mohr),1835 1918 O2 O O1 O3F N22 22 22 22 c3123 t3113 31c2 31t1 OO OO FO NO 23 1321 OO OOFO NO t3ct1 （ a） Dyz （ b） MPa904 tpD MPa90 MPa18021 MPa155 )()()(21 2132322214r MPa1802 tpD 2)(31 2 3 3)()0()0(21 222 6.0577.03 （ b） （ c）70 MPa140 MPa 80 MPa
17、（ d）50MPa（ a） MPa120)0120()120120()1200(21 2224r 01 MPa12032 MPa120)120(0313r MPa128)140(1103021 MPa140 2224r 313r 1 140MPa 110MPa2 03 （ a） 1 80MPa -70MPa2 -3 140MPa 28.5 72.9440)23070(23070 22minmax MPa72941 . MPa2853 . MPa502 zMPa2203r MPa1954r MPa44893r . MPa5.774r 140 MPa 80 MPa（ c） 70 MPa （ d）5
18、0MPa F FMPa7.351.0 700016 MPa37.6101.0 504 3t 32N WT AF 32397.35)237.6(237.6)2(2 2222minmax MPa32,0,MPa39 321 1 MPa4.9410)37.73.088.1(3.01 1.2 )(1 722 yxx E xy A A 003r 7.71701701.183 MPa1.18310)88.13.037.7(3.01 1.2 )(1 72 2 xyy E 0,MPa4.94,MPa1.183 321 MPa1.183313r 0.42C DA B0.42 1.662.50 0.42C DA
19、B0.42 1.662.50maxmax WM z 36max m10494 MWz m1062.24 m1085.0 m107114 2* 2 48 SIdI zz MPa5.95maxS*maxmaxSmax dSIFdI SF z z 122 13.7126.3 2808.5 126.3 )(MPa1.149max z AA I yM 36* m10223 )27.133.126(7.13122 AS MPa8.73*maxS dI SF z AA 122 13.7126.3 2808.5 126.3 MPa197)()()(21 2132322214r 221 )2(2 02 223 )2(2 %9.15%100 4r .
【材料力學(xué) 課件】PPT-第七章 應(yīng)力和應(yīng)變分析 強(qiáng)度理論
