# Spring Pressure Calculator, Formula, Spring Pressure Calculation

## Spring Pressure Calculator:

Enter the values of spring constant, K(N/m), displacement of the spring, X(m) and contact area, A(m2) to determine the value of Spring pressure, Ps(Pa).

 Enter Spring Constant: N/m Enter Displacement of the Spring: m Enter Contact Area: m2 Result – Spring Pressure: Pa

## Spring Pressure Formula:

Spring pressure refers to the force exerted by a spring per unit area of contact. It is a critical factor in various mechanical systems where springs are used to apply or resist force.

The spring pressure is determined by the spring constant (stiffness), the displacement of the spring from its equilibrium position, and the contact area over which the spring force is distributed.

The spring constant measures how stiff a spring is, while the displacement indicates how much the spring is compressed or extended.

A higher spring constant means the spring is stiffer and requires more force to compress or extend, leading to higher pressure for a given displacement.

Conversely, a larger contact area results in lower pressure, as the same force is distributed over a larger area.

Spring pressure, Ps(Pa) in Pascals is calculated by dividing the product of spring constant, K(N/m) in Newton per metres and displacement of the spring, X(m) in metres by contact area, A(m2) in square metres.

Spring pressure, Ps(Pa) = K(N/m) * X(m) / A(m2)

Ps(Pa) = spring pressure in Pascals, Pa.

K(N/m) = spring constant in Newton per metres, N/m.

X(m) = displacement of the spring in metres, m.

A(m2) = contact area in square metres, m2.

### Spring Pressure Calculation:

1. A spring with a spring constant of 300 N/m is compressed by a displacement of 0.1 meters. The contact area over which the spring applies force is 0.05 square meters. Calculate the spring pressure.

Given: K(N/m) = 300N/m, X(m) = 0.1m, A(m2) = 0.05m2.

Spring pressure, Ps(Pa) = K(N/m) * X(m) / A(m2)

Ps(Pa) =300 * 0.1 / 0.05

Ps(Pa) = 600Pa.

1. A spring applies a pressure of 400 pascals (Pa) over a contact area of 0.02 square meters. The spring constant is 500 N/m. Determine the displacement of the spring.

Given: K(N/m) = 500N/m, Ps(Pa) = 400Pa, A(m2) = 0.02m2.

Spring pressure, Ps(Pa) = K(N/m) * X(m) / A(m2)

X(m) = Ps(Pa) *A(m2) / K(N/m)

X(m) = 400 * 0.02 / 500

X(m) = 0.016m.