Beam Deflection Calculator

Beam deflection is a critical structural parameter to ensure safety and serviceability.

What this calculator does

Simply supported: δ = PL³/48EI (center load).

How it works

Cantilever: δ = PL³/3EI (tip load).

When to use this calculator

This tool is most useful when working from known parameters toward an unknown output — the standard direction of engineering calculation. Enter measured or specified values to get the derived result.

Common mistakes

Many engineering errors stem from applying a formula outside its valid range. Most standard engineering formulas have boundary conditions — material limits, temperature ranges, or loading assumptions — that must be satisfied for the result to be reliable.

Real-world scenarios

A student working on a thermodynamics problem set needs to confirm the result of a heat transfer calculation before submission. The calculator applies the formula with correct constants and returns the result with appropriate SI units — the format required for a valid answer.

Frequently asked questions

What is beam deflection?

Deflection is the displacement of a beam from its original position under load. Must stay within design limits.