Beam Deflection Calculator

🔨 Beam Deflection Calculator

Max deflection, slope, and reaction forces for common beam configurations

  ↓ P (center)
  |
△▽━━━━━━━━━━━━━━━━━━━△▽
|←———————— L ————————→|
Simply Supported, Center Point Load

Results

Max Deflection
in
Max Moment
kip·ft
Max Shear
kip
Deflection / Span
L/N (L/360 limit)

Formula Reference

Simply Supported, Center Load: δ = PL³ / (48EI)

Simply Supported, UDL: δ = 5wL&sup4; / (384EI)

Cantilever, End Load: δ = PL³ / (3EI)

Cantilever, UDL: δ = wL&sup4; / (8EI)

Typical deflection limits: L/360 (live load floors), L/240 (roof), L/180 (cantilevers)