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Beam Deflection Calculator (Max δ)

Pick a beam & load case, enter inputs with units, and get the maximum deflection.

Mode (beam & load)

Simply supported — Point load at midspan Simply supported — Uniform load w Simply supported — Point load at distance a Cantilever — End point load Cantilever — Uniform load w Cantilever — End moment M

Inputs

Span length L

Young’s modulus E

Tip: Steel ≈ 200 GPa, Concrete ≈ 25–35 GPa

Area moment of inertia I

Point load P

Distance a (from left support)

Uniform load w

End moment M

All values round to 2 decimals; unit changes preserve the same physical quantity.

Results

Maximum deflection δ_max

Step-by-step derivation

Provide inputs to see the symbolic formula and substituted values.

References

Omni Calculator — Beam Deflection (various cases) — formulas for max deflection of simply supported and cantilever beams.
Classical beam theory (Euler–Bernoulli): δ ∝ 1/(E·I), depends on span length and load pattern.

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