# Hooke's Law

Written by Jerry Ratzlaff on . Posted in Fastener

Hooke's Law is a law of elasticity, abbreviated as F, also called spring force, states that the amount of spring force, compressed or stretched, is proportional applied to the spring deformation.  The minus sign shows that the force is in the opposite direction of the force that is compressed of stretched.

## Hooke's Law formula

$$\large{ F_s = -\; k_s \; d_s }$$

$$\large{ F_s = -\; k_s \; \left( x - x_0 \right) }$$

Symbol English Metric
$$\large{ F_s }$$ = spring force  $$\large{ lbf }$$  $$\large{ N }$$
$$\large{ k_s }$$ = spring constant  $$\large{ lbf }$$  $$\large{ N }$$
$$\large{ d_s }$$ = spring displacement  $$\large{ in }$$  $$\large{ mm }$$
$$\large{ x }$$ = distance from equilibrium  $$\large{ in }$$  $$\large{ mm }$$
$$\large{ x_0 }$$ = spring equilibrium position   $$\large{ in }$$  $$\large{ mm }$$