Leaf Spring

Compute bending stress and free-end deflection of a cantilever leaf (flat) spring under end load for rectangular section.

Inputs

Formula

σ = 6WL/(bt²); δ = 4WL³/(Ebt³)
Cantilever end-load model; use correction factor for trapezoidal/triangular profiles.
F挠度 δ 随载荷 F 变化
Leaf Spring schematic

How to use

  1. Fill in Load W, Free length L, Width b, Thickness t, Young's mod. E in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Bending stress σ, Deflection δ in the results area.
Formula notesSemi-elliptic leaf spring: deflection δ = P·L³/(4·E·n·b·t³); stress σ = 3·P·L/(2·n·b·t²).