The beam shown in the figure is supported by a pin joint at

The beam shown in the figure is supported by a pin joint at point B and a roller at point A. A distributed load is applied as shown in the figure between points B and D. Calculate the reaction forces at support points A & B and find the normal force, N, the shear force, V, and the bending moment, M, at point D.

Solution

R_A+ R_B = 3000 Lbs

To Find Reactions R_A and R_B, Taking Moments about A, We get

R_B X 40 = (100 x 30) x (10+ (30* 1/3)) = 60000

R_B = 60000/40 = 1500 Lbs

R_A = 1500 Lbs