Answer to Question #195418 in Mechanical Engineering for treick

Question

Q: An overhang beam ABCD is simply supported at A and C. The beam carries a uniformly distributed load of 4kNm^-1 over the entire span, a concentrated load of 40kN at B and a concentrated load of 20kN at D, as shown in the Figure. The reaction forces at A and C are 22 kN and 86 kN respectively. The bending moment equation for section AB, is ….  

Answer 1

$\sum_{v-force}=0$

$R_A+R_C=40+20+4L$

$22+86=40+20+4L$

$L=12m$

Bending moment about x-x

$M_{xx}=22*x-2*x^2$

$M_{xx}=22x-2x^2$