江苏科技大学：《结构力学》课程教学课件（讲稿）第07章 位移法

江蘇科技大学jiangsu university of sclence and technology考虑两端有相对竖向位移AEIBA1则总的转角：A413i6i1AMABABA13i6iSchool of Civil Engineering and Architecture

School of Civil Engine School of Civil Engineering and Architecture ring and Architecture 1 1 3 6 1 1 6 3 A AB BA B AB BA M M i il M M i il            考虑两端有相对竖向位移 ∆ l A B        则总的转角：

=F江蘇科技大学HOABQBAjiangsu university of sclence and technologyABBAMAB = 4i0^ +2i0B-616i12i6i00MBA = 2i0, + 4i0g H-67P1转角位移方程统称弯曲杆件的刚度方程M4FEIMBAOBASchool of Civil EngineeringandArchitecture

School of Civil Engine School of Civil Engineering and Architecture ring and Architecture 统称弯曲杆件的刚度方程 转角位移方程   Q Q 2 1 6 6 12 AB BA AB BA A B F F M M l ii i l l l          426 246 AB A B BA A B M iii l M iii l           

江蘇科技大学jiangsu university of sclence and technology将刚度方程写为矩阵形式：6i2i4i1[OAMAB6iOB4iM BA2i(7-7)1△H6i6i12iOAB[211刚度矩阵中的刚度系数（形常数）只与杆件的长度，几国何尺寸和材料性质有关。School of Civil Engineering and Architecture

School of Civil Engine School of Civil Engineering and Architecture ring and Architecture 将刚度方程写为矩阵形式： (7 7) 6 6 12 6 2 4 6 4 2 2           BA QABBAAB l i li li li i i li i i FMM   刚度矩阵中的刚度系数（形常数）只与杆件的长度，几 何尺寸和材料性质有关

江蘇科技大学jiangsu university of sclence and technologyL= FQBAMAB = 4i0 + 2i0BQAB6i6i12MBA = 2i0^ +4i0g51D=0MBA = 0(2)10端为固定支座端为铰支座RMABMAB26JeEIBBEIMBA11M=4i0/AT=3i0, -3iMF1M,4 = 20BASchool of Civil Engineering andArchitecture

School of Civil Engine School of Civil Engineering and Architecture ring and Architecture （1）B端为固定支座 （2）B端为铰支座 426 246 AB A B BA A B M iii l M iii l            4 6 2 6 AB A BA A M i i l Mii l            0  B  Q Q 2 6 6 12 AB BA A B F F ii i l l l        0 MBA  3 3 M AB A i i l   

江蘇科技大学jiangsu university of sclence and technologyFQABB = FQBAMAB = 4i0^ + 2i0B6i6i12i4MMBs = 2i0, +4i0,P1(3）B端为滑动支座MABHEI72MBARM=i0DM=-i0R40=0FFQAB = FQBA = 0-BSchool of Civil Engineering and Architecture

School of Civil Engine School of Civil Engineering and Architecture ring and Architecture 426 246 AB A B BA A B M iii l M iii l            Q Q 2 6 6 12 AB BA A B F F ii i l l l       （3）B端为滑动支座 Q Q 0 0  B AB BA  F F   AB A BA A M i M i        1 2 A l   