P例题2Vba-2.列剪力方程和弯CB xA矩方程tx1选择坐标系RBR选取分段点PbsswwsPbAC段(个)Q(x)7raRAX三11PbM(x)(0raXPa()RBPaCB段TQ(x)1PaarM(x)d1X-1
例题2 2.列剪力方程和弯 矩方程 AC段 A B P C l a b RA RB l Pb Q(x) = x y 选择坐标系 选取分段点 x x l Pb M(x) = (0 < x < a) (a x l ) CB段 l Pa Q(x) = − (a < x < l ) ( ) (l x) l Pa M x = − (0 x a) B ( ) Pa R l = A ( ) Pb R l =
3.作剪力图和弯矩图PAC段PbQ(x)(0<x<a)-B xY1PbM(x)x(0≤x≤aRARB1QPb//1CB段PaXQ(x) =<x<1)a1PaPaM(x)TxPba/l1M(a≤x≤ )X
A B P C l a b RA y x RB x 3.作剪力图和弯矩图 AC段 l Pb Q(x) = x l Pb M(x) = (0 < x < a) (a x l) CB段 l Pa Q(x) = − (a < x < l ) ( ) (l x) l Pa M x = − (0 x a) x Q l Pb l Pa x M Pba l
P结论bAB集中力使剪力值RBRA在该处发生突变QPb突变值等于集中力数值:弯矩图的斜率发生突变Pa/1Pba/lM
结论 集中力使剪力值 在该处发生突变, 突变值等于集中 力数值;弯矩图 的斜率发生突变。 A B P C l a b RA y x RB x x Q l Pb l Pa x M Pba l
集中力使剪力值在该处发生突变,突变结论值等于集中力数值。(?)P = q ·Ax实际情况:AxTQ1Q2
结论 集中力使剪力值在该处发生突变,突变 值等于集中力数值。(?) P = q x Δx Q1 Q2 实际情况:
作剪力图和弯矩图例题3mob解:CB1.求支座反力RBRAww2M = 0moRl mo=0(l)RB=12M= 0Rt=mo(t)mo -Rl=07
例题3 解: ∑ MA= 0 RB l -m0=0 ∑ MB= 0 m0 - RA l =0 ( ) 0 B m R l = ( ) 0 A m R l = A B l a b mo C RA RB 1.求支座反力 作剪力图和弯矩图