Spring Calculator

Find the rate of a helical compression spring.

Spring rate (N/mm) 2.478

Formula: k = G·d⁴ ÷ (8·D³·n)

Step-by-step with your numbers:
1. Values used:
2. Shear modulus = 79.3 GPa
3. Wire diameter = 2
4. Mean coil diameter = 20
5. Active coils = 8
6.
7. Spring rate = 2.478N/mm
Did we solve your problem today?

A helical spring's stiffness depends strongly on its wire and coil diameters.

The math behind it

k = G·d⁴ ÷ (8·D³·n). Thicker wire stiffens dramatically (d⁴); larger coils soften it (D³).

Worked example

Steel, 2 mm wire, 20 mm coil, 8 coils → about 0.99 N/mm.

FAQ

How to make a stiffer spring?

Use thicker wire, a smaller coil diameter or fewer active coils.