TaskJunction

Torsion Spring Calculator

Torsion spring angular rate (N·m/rev), deflection, and bending stress.

Calculate bending stress, angular deflection, and spring rate for a helical torsion spring under applied moment.

Torsion Spring Calculator

Inputs

Results

Spring Index (C)
8.00
Curvature Correction Factor (Ki)
1.103
Max Bending Stress
2080.0MPa
Angular Deflection
230.9deg
Angular Deflection
0.64revolutions
Spring Rate
21.66N·mm/deg
Factor of Safety
0.38

Formula Used

σ = Ki·32M/(πd³)  |  θ(rad) = 64MDn/(Ed⁴)
Torsion springs are stressed in bending, not shear. Uses E (elastic modulus), not G. Ki uses Wahl's curvature correction for torsion springs (different formula than compression/tension springs).

⚠ For preliminary design and educational use only. Verify all results against applicable codes and standards before use in production or safety-critical applications.

About this calculator

Part of our Mechanical Calculators collection. Beams, bolts, springs, gears, bearings, and core ME calculations.

How it works

Calculates torsion spring angular rate, angular deflection under applied torque, and corrected bending stress with Wahl curvature correction factor.

Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.

Privacy and accuracy

Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.

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