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)

Example Problem #2: 

Using the same process as above, first define the variables required by the formula. In this case, these values are:

total angular displacement (rad) = 75

torsion spring constant (N-m/rad) = 20

Entering these values yields:

Tts = 75*20 = 150 (N-m)