Torsion spring (coiled)
Bending stress, angular deflection, stiffness and stored energy of a coiled helical torsion spring, loaded by a force at a lever arm.
Spring length, L_c = nd3 10⁻³ m
Tensile (bending) stress, σ381.97 10⁶ Pa
Spring deflection, dφ4.91 deg
Spring deflection, dφ0.09 rad
Spring deflection, df = r·dφ2.57 10⁻³ m
Spring stiffness, k = F/dφ0 10³ N/deg
Spring stiffness, k = F/dφ0.12 10³ N/rad
Spring stiffness, k = F/(r·dφ)3.89 10³ N/m
Energy stored, Ep = Fr·dφ/20.01 J
Method & references
- Coiled helical torsion spring — bending stress and angular deflection.
The computation is a literal port of the original client-side JavaScript from /calculators/t14_4.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.