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Beam Bending Stress from Moment and Section Modulus Calculator

σ = M/S — maximum stress in a loaded beam.

Calculates maximum bending stress σ = M/S, where M is the bending moment and S = I/y is the section modulus. For a rectangular beam S = bh²/6.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

N·m
m³

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

σ = M / S; S = I / y_max

In depth

Calculates maximum bending stress σ = M/S, where M is the bending moment and S = I/y is the section modulus. For a rectangular beam S = bh²/6.