Spring Constant Calculator

Enter value and click on calculate. Result will be displayed.

Spring wire diameter (inches):
Spring outside diameter (inches):
Number of active coils:
Spring constant:
lb/inch
Spring constant:
kg/mm

A spring constant, also known as the stiffness constant or spring rate, is a measure of the rigidity of a spring. It is typically represented by the symbol k and can be calculated using Hooke's Law. Hooke’s Law relates the force exerted by a spring to the displacement it experiences when stretched or compressed.

Hooke’s Law Formula:

F=k⋅x

Where:

  • F is the force applied to the spring (in Newtons, N),
  • k is the spring constant (in Newtons per meter, N/m),
  • x is the displacement of the spring from its equilibrium position (in meters, m).

Rearranging Hooke's Law to Solve for the Spring Constant:

To calculate the spring constant, the formula can be rearranged as:

k = F / k

Units of Spring Constant:

  • The unit of the spring constant k is Newtons per meter (N/m).

Spring Constant Calculator:

To calculate the spring constant, you can input the force and displacement values into the following formula:

  1. Force (F): The applied force to the spring, in Newtons (N).
  2. Displacement (x): The displacement (stretch or compression) from the equilibrium position, in meters (m).

Example Calculation:

If a force of 20 N is applied to a spring, and it causes a displacement of 0.5 meters, the spring constant can be calculated as:

So, the spring constant for this spring would be 40 N/m.