mechanical

Beam Deflection

Max deflection for simply-supported and cantilever beams under a point load.

Inputs

Load P

Beam Length L

Material

Moment of Inertia I

mm⁴

Max Deflection

Simply Supported—

Cantilever—

SS: δ = PL³/48EI · Cantilever: δ = PL³/3EI

Point load at center (SS) or free end (cantilever).
Rectangle I = bh³/12 · Circle I = πr⁴/4