EngineeringToolkit

Beam Deflection Formula

Maximum deflection of a cantilever beam with a point load at the end.

Formula

δ = PL³/3EI

Discipline: Statics & Structural. Result unit: m.

Variables and units

  • δ — Deflection (m): Maximum deflection
  • P — Load (N): Point load
  • L — Length (m): Beam length
  • E — Elastic Modulus (Pa): Young's modulus
  • I — Moment of Inertia (m⁴): Area moment of inertia