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Structural Calculators

Bending Moment Calculator

Bending moment at any point along a simply supported beam, with the bending stress it produces.

Enter values

Results update as you type.

Result

Moment at 2 m

48 kN·m

Maximum moment (mid-span)
54 kN·m
Shear at that point
12 kN
Support reactions
36 kN each
Bending stress at that point
96 MPa
Maximum bending stress
108 MPa

About the Bending Moment Calculator

Bending moment at any point along a simply supported beam, with the bending stress it produces.

Also known as: moment calculator beam, bending moment formula, moment diagram, section modulus stress.

How to use this calculator

  1. Enter span, distributed load, distance from the left support, section modulus (optional).
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

M(x) = Rx − wx²/2 · σ = M / Z

Worked example

Using the values pre-filled in the calculator above:

  • Span = 6 m
  • Distributed load = 12 kN/m
  • Distance from the left support = 2 m
  • Section modulus (optional) = 500 cm³

the calculator returns:

  • Moment at 2 m: 48 kN·m
  • Maximum moment (mid-span): 54 kN·m
  • Shear at that point: 12 kN
  • Support reactions: 36 kN each