4-18 用叠加法求图4-26所示杆C截面沿铅垂方向位移。已知各杆抗弯刚度EI。
4-18(a)解
q
ACBD 2lll FXCCF=ql FBD
qYC
AF=ql
题4-18a)图
4-18(b)解
M=ql2q A BCD q FXC FlYCFMYD
w1 ql/2 w2 w3 q w4
w5 题4-18b)图
Fyc??qlwc?wc(q)?wc(F)?q(2l)4ql(2l)38ql4?8EI?3EI?(?2?3)EI2ql4?3EI?MD?0FYC?ql/2??ql3ql4w11?l?3EI?l?3EI??ql4w26EIw?ql43?3EIql4w4??8EIwql45??3EIw?w5ql4C?w12?w3?w4?w5??8EI
1max0432xCBlA 0446.7685244816],0[8Q,38464712833649426)()1(CqxqlxMwdEIqllxdxqEIllxqdx??????????
4-19 用叠加法求图4-27所示折杆自由端C的铅垂位移、水平位移和转角。已知EI为常数,不考虑轴力的影响。 解:
223 Ml(Fl)?lFlFF????(向右) B?BAFlCC'CX2EI2EI2EI?Fl2B?EI?CY??B?l?(wcP)BCFl2?EI?l?Fl34Fl33EI?3EI(向下)Fl2Fl23Fl2?C??B??CF?EI?2EI?2EI(顺时针)