Torsion Spring Calculator

Find the rate of a helical torsion spring.

Spring rate (N·mm/rad) 555.56
Spring rate (N·mm/°) 9.696

Formula: k = E·d⁴ ÷ (64·D·n)

Step-by-step with your numbers:
1. Values used:
2. Young's modulus = 200 GPa
3. Wire diameter = 2
4. Mean coil diameter = 15
5. Active coils = 6
6.
7. Spring rate = 555.56N·mm/rad
8. Spring rate = 9.696N·mm/°
Did we solve your problem today?

A torsion spring resists twisting, storing energy as it winds up.

The math behind it

k = E·d⁴ ÷ (64·D·n), giving torque per radian of deflection.

Worked example

Steel, 2 mm wire, 15 mm coil, 6 coils → about 333 N·mm/rad.

FAQ

Why use Young's modulus, not shear?

Torsion springs bend their wire, so the bending modulus E applies.