Beam Deflection & Bending Moment Calculator

Calculate beam deflection, bending moment, and shear force diagrams using Euler-Bernoulli theory for simply supported and cantilever beams.

Beam Deflection

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Formula

δ = 5 w L⁴ / (384 E I) (simply supported, UDL)

Euler-Bernoulli beam theory. Case formula changes with supports and load type.

Euler-BernoulliAISC Steel Manual (reference tables)

Assumptions & limits

  • Linear elastic material, small deflections
  • Shear deformation neglected in basic formulas
  • Self-weight must be added if significant
AluCalc 2026-07-12