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Structural

Beam Deflection Calculator

Calculate the maximum deflection of a simply supported beam under a central concentrated load.

Inputs

Result

Enter values above to calculate

These calculators provide estimates and educational results. Always verify critical engineering calculations against applicable standards and qualified professional review.

Formula

δ = PL³ / (48EI)

Maximum deflection at midspan for a simply supported beam with a point load at center.

Variables

SymbolVariableUnitDescription
δDeflectionmMaximum deflection at midspan
PLoadNPoint load at center
LSpanmBeam span length
EElastic ModulusPaModulus of elasticity of material
IMoment of Inertiam⁴Second moment of area of cross-section

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