Beam Deflection Calculator

Calculate maximum elastic deflection for common simply supported and cantilever beam load cases using Euler–Bernoulli beam theory.

Maximum deflection
0.833 mm
Reference L/360 limit
11.11 mm
Assumptions: small deflection, linear-elastic material, constant E and I, prismatic member, and ideal support conditions. This is not a substitute for code-based structural design, stability, vibration, lateral-torsional buckling, shear deformation or connection checks.

Beam deflection formulas used

Simply supported center load: δ = PL³/(48EI). Simply supported UDL: δ = 5wL⁴/(384EI). Cantilever end load: δ = PL³/(3EI). Cantilever UDL: δ = wL⁴/(8EI).

Formula guide

Beam Deflection Formula

See the governing PL³/EI equations, variable definitions, worked examples and common unit mistakes.

Read formula