Beam Bending Stress & Deflection

Calculate the maximum bending moment, stress and deflection of a simply supported beam with a central point load or a uniform load, free online.

Load type

Load

Span (m)

Section

Width b / diameter (mm)

Depth h (mm) (optional)

Young's modulus E (GPa)

About this calculator

Simply supported beam: central load P gives M = PL/4 and δ = PL³ ÷ 48EI; a uniform load w (N/m over the span) gives M = wL²/8 and δ = 5wL⁴ ÷ 384EI. Bending stress σ = M·c ÷ I. A rectangular section has I = bh³/12; a solid round section I = πd⁴/64.