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Beam Deflection

Closed-form deflection, moment, and shear for common load cases — simple, cantilever, fixed end with UDL or point loads.

Inputs

kN/m or kN (point)
used by ssptN only
Closed-form deflection
  • Simple UDL: δ = 5wL⁴/(384EI).
  • Simple PT (mid): δ = PL³/(48EI).
  • Cantilever PT: δ = PL³/(3EI).
  • Cantilever UDL: δ = wL⁴/(8EI).
  • Fixed UDL: δ = wL⁴/(384EI).

Results

Mid-span Mmax
Vmax
δ_max
L/δ ratio