Optimize your mechanical designs with our Torsion Spring Calculator. Accurately determine critical parameters like torsion spring torque, spring rate, and angular deflection for various applications. Essential for engineers designing components requiring rotational force or resistance.
Formula:
The formula for Spring Rate (k) for a round wire torsion spring is:
k = (E × d4) / (10.8 × Dm × Na)
Where:
k= Spring Rate (e.g., in-lbs/degree or N-mm/degree)E= Modulus of Elasticity (e.g., psi or GPa)d= Wire Diameter (e.g., inches or mm)Dm= Mean Coil Diameter (e.g., inches or mm)Na= Number of Active Coils (dimensionless)
Once
k is determined, the Torque (M) for a given deflection is:M = k × θ
Where:
M= Torque (e.g., in-lbs or N-mm)k= Spring Rateθ= Angle of Deflection (in degrees)