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) 

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)