# Spring Compression Energy Calculator

Calculate the elastic potential energy and force of a spring in compression or extension. U = ½·k·x², F = k·x. Solve energy from displacement, or displacement from energy.

> Canonical page: https://elysiatools.com/en/tools/spring-compression-energy

- **Category:** Math & Numbers

- **Keywords:** spring energy, elastic potential energy, spring force, Hooke's law, compression spring, mechanical engineering

## Overview

The Spring Compression Energy Calculator helps mechanical engineers and designers quickly compute the elastic potential energy and force of a spring under compression or extension. By inputting the spring rate and either displacement or target stored energy, the tool solves for the missing variables using Hooke's Law and the elastic potential energy formula.

## Inputs

- **Calculation Mode** (select)
- **Spring Rate k (N/mm)** (number): e.g. 10
- **Displacement x (mm)** (number): Spring displacement (compression or extension). Required in Energy mode.
- **Stored Energy U (J)** (number): Target stored energy. Required in Displacement mode.
- **Decimal Places** (number)

## When to use

- When designing mechanical suspension systems or shock absorbers that require specific spring rates and energy absorption capacities.
- When calculating the force exerted by a compressed or extended spring at a specific displacement.
- When determining the required spring displacement needed to store a target amount of elastic potential energy.

## How it works

- Select the calculation mode: either 'Energy from displacement' or 'Displacement from energy'.
- Enter the spring rate (k) in Newtons per millimeter (N/mm).
- Input either the displacement (x) in millimeters or the target stored energy (U) in Joules, depending on the selected mode.
- Click calculate to instantly generate the spring force, stored energy, and step-by-step formula breakdown.

## Use cases

- Sizing springs for mechanical assemblies to ensure they do not exceed maximum force limits.
- Calculating energy storage in spring-loaded mechanisms like launchers, valves, or latch systems.
- Verifying test lab measurements of spring deflection against theoretical energy values.

## Frequently asked questions

### What units are used for the spring rate (k) and displacement (x)?

The spring rate is measured in Newtons per millimeter (N/mm) and displacement is measured in millimeters (mm).

### Can this calculator be used for extension springs?

Yes, the formulas for elastic potential energy and force apply equally to both compression and extension springs.

### How does the calculator convert units to output energy in Joules?

The calculator automatically scales the displacement from millimeters to meters during calculation to output the energy directly in Joules (Newton-meters).

### What is Hooke's Law?

Hooke's Law states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with that distance, represented as F = k * x.

### Can I calculate the displacement if I only know the target energy and spring rate?

Yes, switch the calculation mode to 'Displacement from energy' and input the spring rate and target energy in Joules.

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