Simply Supported Beam Calculator

Calculate support reactions, shear force, and bending moment for a beam supported by a pin and roller.

Open simply supported beam preset

What this calculator helps you find

A simply supported beam has a pin support at one end and a roller at the other. It carries vertical load through the two support reactions while allowing the idealized rotation associated with simple supports.

Relevant formula

For a center load: RA = RB = P/2; Mmax = PL/4

Worked example

A 10 m span with a 10 kN center load has 5 kN upward reaction at each support and a maximum moment of 25 kN·m at midspan. Open the preset to inspect the shear and moment diagrams.

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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