# Spring Displacement

on . Posted in Fastener Tags: Force Displacement Spring

Spring displacement, abbreviated as $$d_s$$, also called spring deformed, spring deflection or travel distance, is the distance or extent to which a spring has been compressed or stretched from its equilibrium or rest position.  Springs are mechanical components that can store potential energy when deformed from their natural or resting state.  This deformation can occur when an external force is applied to the spring, causing it to compress or extend depending on the type of spring.

The amount of displacement a spring undergoes is often a critical parameter in various mechanical systems and engineering applications.  It can affect how a system functions, such as in suspension systems for vehicles, where the spring displacement determines the vehicle's ride height and comfort.

## Spring Displacement formula

$$\large{ d_s = \sqrt{ \frac { 2 \; E_s }{ k_s } } }$$     (Spring Displacement)

$$\large{ E_s = \frac { d_s^2 \; k_s }{ 2 } }$$

$$\large{ k_s = \frac { 2 \; E_s }{ d_s^2 } }$$

Symbol English Metric
$$\large{ d_s }$$ = spring displacement $$\large{ in }$$ $$\large{ mm }$$
$$\large{ k_s }$$ = spring constant $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ E_s }$$ = spring energy $$\large{ lbf-ft }$$ $$\large{ J }$$

## Spring Displacement formula

$$\large{ d_s = \frac{F_s }{ k_s } }$$     (Spring Displacement)

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

$$\large{ k_s = \frac{F_s }{ d_s } }$$

Symbol English Metric
$$\large{ d_s }$$ = spring displacement $$\large{ in }$$ $$\large{ mm }$$
$$\large{ k_s }$$ = spring constant $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ F_s }$$ = spring force (Hooke's Law) $$\large{ lbf }$$ $$\large{ N }$$ 