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Simply Supported Beam Deflection (UDL) Calculator

δ_max = 5wL⁴/(384EI) — midspan deflection under uniform load.

Calculates the maximum mid-span deflection and maximum bending moment of a simply supported beam under a uniformly distributed load (UDL).

Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

δ_max = 5wL⁴/(384EI); M_max = wL²/8

In depth

Calculates the maximum mid-span deflection and maximum bending moment of a simply supported beam under a uniformly distributed load (UDL).