Free Spring Force Calculator
Compute the force exerted by a spring at a given displacement using Hooke's law.
N/mm
mm
Spring Force
100.0 N
Stored Elastic Energy1.000 J
Spring Force vs Spring Constant (k)
Hooke's Law for Springs
A spring produces a restoring force proportional to its displacement from equilibrium.
Formulas
F = k x (Hooke's law)
U = 0.5 k x^2 (elastic potential energy)
where k is the spring constant, x is the displacement, F is the resulting force, and U is the stored energy. This holds as long as the spring remains in its linear elastic range.
Example Calculation
A spring with k = 5 N/mm compressed by 20 mm.
- 01F = 5 x 20 = 100 N
- 02U = 0.5 x 5 x 20^2 = 0.5 x 5 x 400 = 1000 N-mm = 1.0 J
Frequently Asked Questions
Learn More
Beam Stress Calculation Guide: From Theory to Practice
Learn how to calculate beam stress step by step. Covers bending stress, shear stress, the flexure formula, stress distributions, and practical design checks for structural beams.