《结构力学习题集》(下)-矩阵位移法习题及答案

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??3E?2???2kN.m??ql24????2223、P1?ql, P3?ql/24, P4??ql

? ql/2???24、?P??? ?ql/2?

??2?25ql/24?225、P4?ql/2, P5??ql/2, P6?ql/12

226、P1??p1l8, P3??P3?ql2, P4?M?P1l8?ql12

227、P3?11ql/12,P7??ql/2,P8??ql/2,P9?0

T28、?P???6 ?22 ?14 5 ?12 18? 29、?P????4 10 4 0 ?6 ?4?

T? P/2???30、?P2????3P/2?

??3Pl/4???31、

1(0,0,0)2(1,2,3)

32、

??3kN???8kN???P????17kN?m??????4(0,0,0) ?0?

3(1,4,3) Word 文档

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(1,0,2)

? 0???2(3,4,5)?11ql/12??? ql/2??? (0,6,0,) ?P??? ?3ql??(0,0,0)? ql2/8????? ?ql/2??33、

?P?T??40 -32 -14?

? 10kN???34、?P??? ?10kN?

??10kN?m???2?PqlqlPl?35、?P??0,0,?,?,?? ?22128??②T36、?????0 0 0 -0.1569 -0.2338 0.4232 0 0 0? ，F237、F3?0.333kN?m, F6??0.333kN?m

T?0.2336

38、F??③19.3kN? ?? ?19.726kN??????651.561kN.m????? 39、

?19.3kN??? 19.726kN????? ?1321kN.m???F?①? 11.1006kN?? 10.1302kN??????4.0385kN?m?? ??? ?11.1006kN??? 13.8698kN?????13.3873kN?m??40、F??①? 0?? 0.79ql???2??? 0.234ql???? ( 7 分) 0??? 0.208ql???2??0.0575ql??②41、M2??89.25kN

42、

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. 1(0,1)(0,1)③ ① (0,0)2② (0,0) (2,3)3(2,3) ?K???22?11?1???2EA??122?1?1?4l??1?11??? 43、?P????

6kN?8kN???44、

?P???10,?20,30,?40?TkN

45、F??①.???1116?0??????kN 1116.?????0?342.322 -1139.555 T46、????(1/(EA))×?0000-137.680 -1167.111?T

F47、N??①???85581.kN 85.581kN?

①?3P(压 力 )

48、 F??①??5kN?? 0??? ??? 5kN????? 0?(7,8,0)2(4,5,0)3(7,8,9)②(4,5,6)49、

K44 50、

12EIEA?3?ll

K45?0

1(1,2,3)①③4(10,11,12)

单元结点位移编码如图：3(0,0,0)1(0,0,0)5(1,2,0)2(0,0,0)③①4(1,2,3)②

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?2EI?0 0 ?l ???36EIEA?6EI??? ?K??? ? ??3?l?l2??l??12EI? ??l??? .

51、K4452、S6?3EA/l, K55?36EI/l3?4EA/l, K66?12EI/l

?F6??0.4319

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