Engineering

Beam Load Calculator

Bending moment and deflection for a beam.

Enter your values

ⓘ Live results

Results
Max bending moment
14.06 kNm
Max shear
11.25 kN
Max deflection
2.15 mm
Span/deflection ratio
L/2,321

Quick answer

A simply supported beam under uniform load has maximum moment at midspan equal to wL²/8.

M = wL² ÷ 8

How to use the Beam Load Calculator

  1. 1Enter the uniform load per metre.
  2. 2Enter the clear span.
  3. 3Enter the beam's E and I values from the section table.

Worked example

Using the values the calculator loads with:

Inputs

  • Uniform load4.5 kN/m
  • Span5 m
  • Young's modulus200 GPa
  • Second moment of area8500 cm⁴

Results

  • Max bending moment14.06 kNm
  • Max shear11.25 kN
  • Max deflection2.15 mm
  • Span/deflection ratioL/2,321

Frequently asked questions

What deflection is acceptable?

L/250 for general use, L/360 under plaster ceilings.

Is this a design tool?

It is an estimate — structural work needs a qualified engineer.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.