求出各点应力、位移分量
Fq(),,2,H(1)(1)1BAe,,2,,,,Fq(),,22HH(1)(1)(1),,11,DAeCe,,,2,,,,
j,1,,(1)()(1)()()()()jjjjjjj,,,DtAetHtCe,,,,,2[2],,111j,()()()()()jjjjj,,,2[2]tAtHtC,,,222j,j,1,,()()(1)()()()()jjjjjjj,DtAetHtCe,,,,,2[2],,,333j,()()()()()jjjjj,,,2[2]tAtHtC,444j,,
,()jt(1)()()()jjjj,()2()jj5,2]tHC,BtHtA,,,[2][,22j2j,,, (4-21) ,()j,tj1,()()()()2(1)()jjjjjj,,,6,,,,,,[2][2]tHtAetHCe,,,111jj,,
,()jt()()()()()2()jjjjjj5,BtHtAtHC,,,,[2][2]444jj,,,,,()jtj1,,()()()()2(1)()jjjjjj,,,6[2][2]tHtAetHCe,,,,,,333jj,,,,,其中,
EE(1)(3),,,,,4Ejjjj,,11j,1()()jj()j()j,,,tt,,1,t,t3112,,,,,EE(3)(3),,,EE(3)(3),,jjjj,,11jjjj,,11
()j2Et,,2(),HH,j1()()jj()j()jjj,12,,,tt,,1,,,,eet425,,,,,2(1)(1)EE,,jjjj11
()j2Etj()j3 ,,t6,,,,,2(1)(1)EE,,jjjj11
递推关系:
()()(1)()(1)()jjjjjj,,,AACR,,,,,,563,()()(1)()(1)()jjjjjj,,CACR,,,,,,784, j=1,2,3……N-1
其中,
()()()()jjjj()()()()()()()()jjjjjjjj,,,,,,,,,,,,,RR()()()jjj412342244122,,,,,R,,563()()()()()()()()()()()()jjjjjjjjjjjj,,,,,,,,,,,,,,,142314231423
()()()()()()()()jjjjjjjj()()()()jjjj,,,,,,,,RR,,,,,()j()()jj143212311331,,,R,,,,478()()()()()()()()jjjjjjjj()()()()jjjj,,,,,,,,,,,,,,,142314231423
其中,
()()()(1)(1)(1)jjjjjj,,,,,,,,,,,[2][2]tHttHt1445212jj,
(1)j,t(1)(1)2(1)(1)(1)jjjjj,,,,,5,,,,,[2][2]tHtHte,,,721111jj,,,
()jt()()2(1)(1)(1)jjjjj,,,5,,,,,,,,[2][2]tHtHt246212jj,,
(1)(1)jj,,tt(1)(1)2(1)2(1)jjjj,,,,56,,,,,[2][2]tHtHe,,,82111jj,,,, ()()()()jjjj,,,,,[2]tHte133j
()jt()()2()jjj6,,,,,[2]tHe23j,
()(1)(1)(1)(1)(1)(1)(1)()jjjjjjjjj,,,,,,,,,,,,,22[2]2tettHtt,,,,,,,315272124j, ()(1)(1)(1)(1)(1)(1)(1)(1)()()jjjjjjjjjjj,,,,,,,,,,,,,,,,,,,,,,,[2]2[2][2]tHtettHttHt411162821244jjj,,
()()()jjj,,,,2te33
()()()()jjjj,,,,,[2]tHte433j
(1)j,t()(1)(1)(1)(1)(1)2jjjjjj,,,,,5,,,,[2][2],,RRtHtRtH13212421jj,,, ()(1)(1)(1)(1)(1)jjjjjj,,,,,RRtRtHt,,,2[2],,2324212j,
(j=2,3,4……N-1)
()()(+1)(+1)jjjj(4)(4)ACAC、、、AC,,0,利用式(4-30)进行反推,从而得到,
()()(+1)(+1)jjjj()()()()jjjjB、D、B、DA、B、C、D再将其代入式(4-21)中,得到。待定系数
全部求出,代入下面的式子,就可以求出各点应力、位移分量 。
,,1,,,,,,(2)(2)HyyHy,,,2()2()2()jjjjjjjj,,,,,,,,,[(2)AeBeyCexjj,,,,2,,,y2()j,j,,,(2)]cosyDexd,,,,,j, ,,1,,,,,(2)(2)HyyHy2()2()2()jjjjjjjj,,,,,,,,[AeBeCye,,,,yi,j,,,2,,,y2()jj,,]cosDyexd,i,,,
Fq()已知=231.97KPa ,H=0.5m,H=1.1m,H=3m,求,已知y4=3m,x=0 ,,、123xy44