EngiRef / Mechanical Engineering Formula

Spring Force (Hooke's Law)

Spring Force (Hooke's Law): Force exerted by a spring. A Machine Design formula in mechanical engineering. Variables F, k and x, each with SI and imperial…

Machine Design

Specification

Name
Spring Force (Hooke's Law)
Discipline
mechanical
Category
Machine Design
LaTeX
F = kx
Description
Force exerted by a spring
Conditions
Linear elastic (Hooke's law) region
Can solve for
F, k, x
Tags
spring, hooke, stiffness, deflection

Variables

Variables for Spring Force (Hooke's Law)
SymbolNameUnitSi UnitImperial Unit
FSpring ForceNNlbf
kSpring ConstantN/mN/mlbf/in
xDisplacementmmin

Common questions

What is the Spring Force (Hooke's Law) formula?
Force exerted by a spring. It sits under Machine Design, Mechanical engineering in the EngiRef reference.
What do the symbols in the Spring Force (Hooke's Law) formula mean?
In Spring Force (Hooke's Law), F is spring force in N; k is spring constant in N/m; x is displacement in m.
When does the Spring Force (Hooke's Law) formula apply?
Spring Force (Hooke's Law) holds under this condition: Linear elastic (Hooke's law) region.