Calculator Hub

Construction & Materials

Simply Supported Beam Calculator

Find maximum bending moment, deflection and reactions for a simply supported beam under a uniform load.

Your inputs

Change any value to update the result instantly.

Construction & Materials
m
kN/m
kPa
m⁴

Maximum bending moment

45 kN·m

Reaction at each support

30 kN

Maximum deflection

1.05 mm

Max shear force

30 kN

Formula and working

Mmax = wL²/8; δmax = 5wL⁴/(384EI)

  1. 1

    Collect the inputs

    Span length L = 6 m; Uniform load w = 10 kN/m; Modulus of elasticity E = 200,000,000 kPa; Moment of inertia I = 0.0008 m⁴

  2. 2

    Apply the formula

    Mmax = wL²/8; δmax = 5wL⁴/(384EI)

  3. 3

    Result

    Maximum bending moment = 45 kN·m

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

Report a mistake or request an improvement

Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.

Related calculators

Back to Calculator Hub