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?
- A12 kN
- B24 kN
- C6 kN
- D4 kN
Show solutionHide solution
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
Practice this deckUntimed, one problem at a time, with your progress saved.
Related problems
- Support Reaction at B of a Simple Beam · Statics & Equilibrium
- Fixed-End Moment of a Cantilever Beam · Statics & Equilibrium
- Reactions of a Beam with Center Load · Statics & Equilibrium
