Civil Engineering MCQAE Level Civil Engineering
A simply supported beam of span L carries a central point load W. The vertical reaction at each support is:
Engineering MechanicsSimply Supported Beam ReactionsMEDIUM
Choose the correct answer
A
W
B
W/2
C
2W
D
W/4
Correct Answer
B. W/2
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By symmetry and equilibrium: sum Fy = 0: Ra + Rb = W; sum M_A = 0: Rb x L = W x L/2, so Rb = W/2. Ra = W/2. For an eccentric load at distance a from A: Ra = W x (L-a)/L, Rb = W x a/L. For UDL of w per unit length: Ra = Rb = wL/2.
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