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eng.torsion-spring-rate Calculator
Calculates torsion spring rate, stress, and angular deflection from material and geometry using the Wahl approach for close-wound springs. Torsion spring wire is loaded in bending (not torsion) — the Wahl stress correction factor still applies due to wire curvature.
Inputs
D Wire Mm
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
D Coil Mm
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
N Coils
Count of items or occurrences.
E Gpa
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
Results
torsion spring rate k (N·m/rad)
The value at the specified point or condition.
angular deflection per N·m (rad)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
angular deflection per N·m (°)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
k = EI/(πDn)
Sample size or count used in the calculation.
Wahl correction factor
A dimensionless multiplier applied in the calculation.
coil-spring wire stress
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.