Enter the spring constant and the displacement into the calculator to determine the spring force.

Spring Force Formula

The following equation is used to calculate the Spring Force.

Fs = k*x

  • Where Fs is the spring force (N)
  • k is the spring constant (N/m)
  • x is the displacement of the spring (m)
    • The displacement is the distance of compression or tension

To calculate the spring force, simply multiply the spring constant by the displacement

What is a Spring Force?


A spring force is a restoring force provided by a physical spring, a helical spring, or a torsion spring. The restoring force provided by the spring is proportional to the displacement of the elastic element. It always acts in the direction that tends to restore the equilibrium position of the body.

In other words, this means that when you apply a force to compress or stretch a spring, it pushes back against that external force with a restoring force (the amount of which depends on how much the spring has been compressed or stretched).

How to Calculate Spring Force?

Example Problem:

The following example outlines the steps and information needed to calculate the Spring Force.

First, determine the spring constant. In this example, the spring constant is provided as 400 N/m.

Next, determine the amount of displacement. For this problem, the spring is compressed by .25 m.

Finally, calculate the spring force using the formula above:

Fs = k*x

Fs = 400*.25

Fs = 100 N