Left Reaction for an Off-Center Beam Load

Easyreactionsmoments
An 8 m simply supported beam carries a 12 kN downward point load 2 m from the left support. Neglect self-weight. What is the left vertical reaction?
  1. A3 kN
  2. B6 kN
  3. C9 kN
  4. D12 kN
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Answer: C. 9 kN

Take moments about the right support: Rleft(8) = 12(8 − 2), so Rleft = 72/8 = 9 kN upward. The right reaction is 12 − 9 = 3 kN.
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