Calculate spring pressure and force from spring rate, compression, and contact area or diameter, with results in Pa, psi, N, and lbf.

Spring Pressure Calculator

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Enter any 3 values to calculate the missing variable.

Spring Pressure Formula

The following formula is used to calculate the Spring Pressure.

Pspring = K * X / A
  • Where Pspring is the Spring Pressure (Pa)
  • K is the spring rate (N/m) 
  • X is the compression (m) 
  • A is the cross-sectional area (m^2) 

To calculate the spring pressure, multiply the spring rate by the compression, then divide by the cross-sectional area.

How to Calculate Spring Pressure?

The following example problems outline how to calculate the Spring Pressure.

Example Problem #1

  1. First, determine the spring rate (N/m). In this example, the spring rate (N/m) is given as 100 .
  2. Next, determine the compression (m). For this problem, the compression (m) is given as  .5 .
  3. Next, determine the cross-sectional area (m^2). In this case, the cross-sectional area (m^2) is found to be .75.
  4. Finally, calculate the Spring Pressure using the formula above: 

Pspring = K * X / A

Inserting the values from above and solving yields: 

Pspring = 100 * .5 / .75 = 66.66 (Pa)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:

spring rate (N/m) = 500

compression (m) = 3

cross-sectional area (m^2) = 5

Enter these given values yields: 

Pspring = 500 * 3 / 5 = 300 (Pa)