Question

The reaction at the two supports of a simply supported beam carrying a uniformly distributed load over its entire span is: (the intensity of loading on the beam is w/unit length and I is the length of the beam).

• A. wl, wl/2
• B. wl/ 2, wl/2
• C. w/2, w/2
• D. wl/4, wl/4

Answer 1

Answer:

B. wl/ 2, wl/2

For a simply supported beam with uniformly distributed load over the entire span, the reaction at each support is half of the total load, i.e., wl/2. Using the equilibrium condition in y- direction and moment equation, we get$R_{A} = R_{B} = wl / 2$