Enter the total angular displacement (rad) and the torsion spring constant (N-m/rad) into the calculator to determine the Torsion Spring Torque. 

Torsion Spring Torque Formula

The following formula is used to calculate the Torsion Spring Torque. 

Tts = D*TSR
  • Where Tts is the Torsion Spring Torque (N-m)
  • D is the total angular displacement (rad) 
  • TSR is the torsion spring constant (N-m/rad) 

To calculate the torsion spring torque, multiply the angular displacement by the torsion spring constant.

How to Calculate Torsion Spring Torque?

The following two example problems outline how to calculate the Torsion Spring Torque.

Example Problem #1:

  1. First, determine the total angular displacement (rad). In this example, the total angular displacement (rad) is given as 30.
  2. Next, determine the torsion spring constant (N-m/rad). For this problem, the torsion spring constant (N-m/rad) is given as 10.
  3. Finally, calculate the Torsion Spring Torque using the equation above: 

Tts = D*TSR

Inserting the values from above and solving the equation with the imputed values gives: 

Tts = 30*10 = 300 (N-m)


FAQ

What is angular displacement in the context of torsion springs?

Angular displacement refers to the angle through which a point or line has been rotated in a specified direction around a specific axis. In the context of torsion springs, it’s the angle through which the spring is twisted from its original position.

How does the torsion spring constant affect the torque of a torsion spring?

The torsion spring constant, also known as the stiffness coefficient, directly affects the torque of a torsion spring. It represents the spring’s resistance to twisting forces. A higher torsion spring constant means the spring is stiffer and requires more torque to achieve the same angular displacement compared to a spring with a lower constant.

Can torsion spring torque be negative?

Yes, torsion spring torque can be considered negative if the direction of the applied torque is opposite to the direction considered positive by convention. This is often a matter of perspective or the specific application’s requirements, as the physical principles remain the same.