Bending Moment Calculator

Calculate the bending-moment diagram for an idealized beam and locate the critical moment values for a load case.

Open bending-moment preset

What this calculator helps you find

Bending moment is related to the area under the shear-force diagram. For a simple span with no applied end moments, the bending moment is often zero at the supports; extrema usually occur where shear passes through zero.

Relevant formula

dM/dx = V(x)

Worked example

A 10 kN center load on a 10 m simply supported beam creates a maximum bending-moment magnitude of 25 kN·m at midspan. The diagram is linear on each side of the point load.

Use results responsibly

Use this tool for idealized, static two-dimensional analysis and for checking calculations. Confirm units, sign conventions, supports, material properties, and applicable design standards before using results in a project. Review the assumptions and limitations and validation records.

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