Calculator

Simply supported beam calculator

The simply supported beam is the workhorse of structural analysis: a pin and a roller with loads anywhere along the span. Add any combination of point loads, moments and distributed loads and read the reactions and diagrams instantly. The calculator below is pre-loaded; change anything and results update instantly.

About this case

Pin + roller with a single point load at midspan.

All diagrams use the Euler–Bernoulli beam theory with an exact finite-element solver that runs entirely in your browser. You can move supports by dragging them, switch unit systems at the top of the input panel, and export results as CSV or a printable report.

See closed-form formulas for this and similar cases →