JUJUMI工程计算器 · Engineering Calculators

Torsion Spring

Compute the bending stress σ, angular deflection θ and torsion rate of a round-wire torsion spring under moment M, using standard torsion-spring formulas with the Wahl stress-correction factor K.

Inputs

Formula

c=D/d; K=(4c−1)/(4c−4); σ=K·32M/(πd³); θ=32MDN/(Ed⁴); rate=M/θ
扭矩 M = k·θ
Torsion Spring schematic

How to use

  1. Fill in Moment M, Mean dia. D, Wire dia. d, Active coils N, 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 θ, Torsion rate in the results area.
Formula notesTorsion spring rate k = E·d⁴/(32·D·n); torque M = k·θ.