Reactions of a Beam with Center Load

Easyreactionssymmetry
A simply supported 6 m beam carries a single 12 kN downward point load at its center. Neglect beam self-weight. What is each vertical support reaction?
  1. A3 kN
  2. B6 kN
  3. C9 kN
  4. D12 kN
Show solution

Answer: B. 6 kN

Symmetry makes the reactions equal. Vertical equilibrium gives RA + RB = 12 kN, so each reaction is 12/2 = 6 kN upward.
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