Spring Rate Calculator

Calculate the rate of a close-coiled helical compression spring.

Wire diameter: 5 mm
Live concept view — geometry scales with the entered design condition.

Design inputs

Enter known values using the units shown. Results and the live SVG view update immediately.

PRELIMINARY RESULT

Spring rate17.99 N/mm
Spring index
7.00

Calculation detail

Formula: k = Gd⁴ / (8D³N)

Spring rate is calculated from material shear modulus, wire diameter, coil diameter and active coils.

Spring Rate Calculator: operating questions

Does the calculated rate prove the spring is safe?

No. Rate is a stiffness result. Corrected wire stress, fatigue, solid height, buckling, surge, end condition, tolerances and relaxation remain separate design checks.

Which coil diameter belongs in the equation?

Use mean coil diameter, measured between wire centrelines. Substituting outside diameter makes the spring appear softer than the same physical spring evaluated correctly.

Why is wire diameter so influential?

Rate varies with the fourth power of wire diameter. Small wire-size or manufacturing deviations can therefore produce a meaningful rate change.

Illustrative input values and units
ParameterUnitExample
Wire diametermm5
Mean coil diametermm35
Active coilscount8
Shear modulusGPa79