Torsion spring (bar)

Bending stress, angular deflection and stiffness of a straight torsion-bar spring, from wire diameter, lever arm and effective spring length.

✓ validated against legacyoriginal: /calculators/t14_5.htm
Tensile (bending) stress, σ763.94 10⁶ Pa
Spring deflection, df = r·dφ54.57 10⁻³ m
Spring deflection, dφ3.64 rad
Spring deflection, dφ208.43 deg
Spring stiffness, k = F/dφ0.02 N/deg
Spring stiffness, k = F/dφ1.37 N/rad
Spring stiffness, k = F/(r·dφ)91.63 N/m

Method & references

  • Straight torsion-bar spring — bending stress and angular deflection.

The computation is a literal port of the original client-side JavaScript from /calculators/t14_5.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Torsion spring (bar) — Engineering ABC