Answer to Question #231718 in Civil and Environmental Engineering for Ali

Question

Determine the horizontal and vertical components of reaction on the member at the pin A, and the normal reaction at the roller B.

Answer 1

Take moment about A.

$\Sigma M =O$

N_Bcos30(6)-N_Bsin30(2)-750(3)=0

5.19N_B-N_B-2250=0

N_B=536.22 lb

equilibrium of forces along x-direction

$W\Sigma Fx=0$

A_x=N_Bsin30

A_x=536.22sin30

A_x=268.11 lb

equilibrium of forces along y-direction

$W\Sigma Fy=0$

A_y+N_BCos(30)-750=0

A_y+536.22Cos(30)-750=0

A_y=285.61 lb