Beam Support Reaction

Compute end support reactions of a simply supported beam under a point load and a uniformly distributed load.

Inputs

Formula

RA = P(L−a)/L + wL/2; RB = P·a/L + wL/2
PR_AR_BR_A = P·b/L, R_B = P·a/L
Beam Support Reaction schematic

How to use

  1. Fill in Span L, Point load P, Load pos. a, UDL w in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Reaction RA, Reaction RB in the results area.
Formula notesSimply supported beam, point load P at a from A, b from B: R_A = P·b/L, R_B = P·a/L.