Torsional Spring

Calculate the torque and spring constant for torsional springs and shafts.

Spring Parameters

Wire Diameter (d)

Mean Coil Diameter (D)

Number of Active Coils (n)

coils

Shear Modulus (G)

Angle of Twist (θ)

Calculation Results

Enter spring dimensions and modulus

About this calculator

Quick Reference

kSpring Constant

dWire Diameter

DMean Coil Diameter

GShear Modulus

Overview

A torsional spring works by exerting a torque when it is twisted around its axis. The force it exerts is proportional to the angle of twist.

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Pro Tips

Fun Facts

"Clothespins and mousetraps use torsional springs."
"Torsion bars are used in some vehicle suspensions instead of traditional coil springs."
"The hairspring in a mechanical watch is a fine torsional spring that regulates time."

Formula: k = (d⁴ · G) / (64 · D · n)