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Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,11/7/2009,#,第6章位移法,q12kN/m,三.多结点力矩分配,A,B,固定状态:,EI,1,EI,2,EI,M,1FA,ql,2,/8150,10m,10m,M,u,10m,M,u,M,12F,ql,2,/12100,q12kN/m,F,2,A,1,2,M,21,ql/12100,B,uFF,ql,2,/8,1,2,2,M,1,M,1A,M,12,50,ql/12,M,u,M,F,M,F,100,28.6,50,100100,-,42.9,2212B,放松结点2(结点1固定):,-,28.6,-,57.1,S,21,4i,S,2B,3i,6.1,21.4,21,0.571,2B,0.429,-9.2,-12.2,-6.1,放松结点1(结点2固定):,1.8,6.1,S,12,4i,S,1A,3i,12,0.571,1A,0,.,.429,1.8,3.5,2.6,第6章位移法,q12kN/m,q12kN/m,A,B,EI,1,EI,2,EI,A,B,1,2,10m,10m,M,1u,10m,M,2u,q12kN/m,0.4290.5710.5710.429,A,B,F,ql,2,/8,1,2,M,0,150-100,100,0,0,0,ql,2,/12,-28.6,-9.2-12.2,-57.1-42.9,28.6,100,分,配,传,递,0,-6.1,-,28.6,-,57.1,-,42.9,1.8,-1.0,3.5,2.6,0,21.4,6.1,-0.8,-9.2,-12.2,-6.1,1.8,6.1,M,0,140,-140,40.3,-40.3,0,1.8,3.5,2.6,q12kN/m,140,40.3,.,A,B,M,1,2,第6章位移法,作剪力图,求反力,q12kN/m,40.3,A,B,M,A,0,1,2,F,Q1A,10140121050,M,F,74,140,Q1A,A,1,F0,F,QA1,F,Q1A,y,F,QA1,46,46,69.97,4.03,74,50.03,F,Q,1,69.97,F,y,0,74,F,1y,7469.97143.97(kN)(),F,1y,第6章位移法,A1.5kN/m,8kN,4kNm,0.8iiiBCD0.8iE,5m,8m,4m,4m,5m,分配系数,0.3750.625,0.5,0.5,0.6250.375,固端弯矩,04.69-8,01.242.071.04-3.13,8,-8,82,4,0,放松结点B和D,-6.25-3.75,放松结点C,放松结点B和D,0.52,-0.32,1.05,1.05,0.52,-0.20,-0.16-0.16,0.16,-0.03-0.05-0.03-0.03,-0.32-0.20,放松结点C,放松结点B和D,0.08,0.16,0.08,-0.03-0.05,0.02,-0.01-0.01,放松结点C,放松结点B和D,0.030.03,0.02,-0.01,-0.01,杆端弯矩,0,5.69,-5.69,10.09-10.091.99-1.99,4,10.09,4.69,5.69,1.99,4,12,16,M图(kNm),第6章位移法,例6-18作M图。,q=4kN/m,B,A,3EI,C,3EI,D,3EI,解：1）计算分配系数,设EI=6,EI,EI,6m,结点C：,E,F,6m,6m,6m,9,12,4,CA,0.36,CD,0.48,CE,0.16,25,25,25,结点D：,9,12,4,0.36,DC,0.48,DF,0.16,DB,25,25,25,2）计算固端弯矩,M,F,ql,2,18kNm,CA,8,M,F,ql,2,12kNm,M,F,12kNm,CD,12,DC,3）力矩分配,第6章位移法,例6-18作M图。,q=4kN/m,B,A,3EI,C,3EI,D,3EI,解：1）计算分配系数,设EI=6,EI,EI,6m,结点C：,E,F,6m,DCDBDF,6m,6m,9,CACDCE,12,4,A,0.36,0.36,0.16,CD,0.48,0.48,0.48,0.16,CE,0.36,0.16,CA,25,25,B,25,18,C,-1212,D,-2.88,-5.76-1.92-4.32,4,结点D：,-1.12-0.50-1.50,9,25,-0.06-0.03-0.09,12,-0.75,0.48,DF,0.16,DB,0.36,0.18,DC,0.360.120.27,25,25,2,2）计算固端弯矩,16.82-0.53-16.29,M,F,ql,5.85-1.8-4.05,18kNm,EC,CA,8FD,2,-0.25,-0.96,（单位：kN.m）,M,F,ql,-0.02,12kNm,M,F,0.06,12kNm,CD,12,-0.27,-0.90,DC,EF,3）力矩分配,第6章位移法,例6-18试作M图。,q=4kN/m,B,CACDCE,A,3EI,DCDBDF,C,3EI,D,3EI,解：,1,A,）计算分配系数,0.360.160.480.480.160.36,B,设EI=6,18,C,-1212,EI,D,EI,6m,-2.88,-5.76-1.92-4.32EF,-0.75,-1.12-0.50-1.50,-0.06-0.03-0.09,12,0.18,结点C：,6m,0.360.120.27,6m,4,6m,9,0.48,5.85-1.8-4.05,0.16,CA,0.36,16.82-0.53-16.29,CD,25,CE,25,25,EC,FD,结点D：,9,-0.25,-0.02,DC,0.48,16.29,DF,0.06,0.16,-0.27,12,16.82,-0.96,-0.90,25,5.85,4,（单位：kN.m）,0.36,DB,25,25,EF,A,ql,2,4.05,B,2）计算固端弯矩,M,CA,18,F,C,18kNm,D,1.8,8,ql,2,0.53,M,CDF,12kNm,M,DCF,12kNm,12,3）力矩分配,0.27,E,0.9,F,M图,（kN.m),(b),第6章位移法,例6-19作图示梁由支座位移引起的,A,M图。,0.8iB0.1miCiD,0.8i,E,5m,8m,8m,5m,0.3750.625,0.5,0.5,0.6250.375,0-48,75,75,0,000,-18.75,-37.5-37.5,-2.58,-1.64-1.64,-18.75,-3.09-5.16,5.86,-1.64-1.64,11.727.03,-0.82,0.310.51,-0.82,0.510.31,-50.78,50.78,33.28,-33.28,-7.34,7.34,33.28,7.34,50.78,M图(i/1000),第6章位移法,例6-20作图示框架的弯矩图。EI=常数。,12kN/m,12kN/m,AB,C,12kN/m,12kN/m,DE,F,4m,4m,12kN/m,12kN/m,GHI,4m,4m,JK,4m,4m,4m,4m,2m,S,AB,S,BA,4i,S,BC,2i,M,F,ql,2,16,M,F,ql,2,16,M,F,ql,2,16,AB,12,BA,12,M,F,ql,2,8,BC,3,CB,6,第6章位移法,M图,（kN.m),
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