Reaction of a Beam with Uniform Load

Easyreactionsdistributed loads
A 6 m simply supported beam carries a uniformly distributed load of 4 kN/m over its full length. What is the reaction at each support?
  1. A12 kN
  2. B24 kN
  3. C6 kN
  4. D4 kN
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Answer: A. 12 kN

Replace the distributed load by its resultant: W = w · L = 4 · 6 = 24 kN acting at midspan. By symmetry each support carries half: R = 24/2 = 12 kN. 24 kN is the total load, not one reaction.
kN; kN
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