Free Bending Moment Calculator

Calculate the maximum bending moment for a simply supported beam with uniform or point load.

ft
lb/ft
lbs

Total Max Moment

6,125 ft-lbs

Moment from Uniform Load6,125 ft-lbs
Moment from Point Load0 ft-lbs

Total Max Moment vs Beam Span

Bending Moment

Uniform load: M = wL squared / 8

Center point load: M = PL / 4

Both produce maximum moment at mid-span for a simply supported beam. If both loads are present, add the moments together (superposition).

Example Calculation

14 ft beam with 250 lb/ft uniform load.

  1. 01M = 250 x 14 squared / 8 = 250 x 196 / 8 = 6,125 ft-lbs
  2. 02No point load contribution
  3. 03Required section modulus = M / Fb (allowable bending stress)

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