# Leaf Spring Stiffness

Written by Jerry Ratzlaff on . Posted in Fastener

Leaf spring are spring made of thin strips of metal (could be a single strip) stacked in layers to asorbe the vibration.  They are normally used on suspension systems for wheeled vehicles or trailers.

## formulas that use Leaf Spring Stiffness for Semi-Elliptic Laminated

 $$\large{ k = \frac { 8 \;E\; n \;w \;t^3 } { 3\; l^3 } }$$

### Where:

$$\large{ k }$$ = stiffness

$$\large{ n }$$ = number of leaves

$$\large{ l }$$ = span

$$\large{ t }$$ = thickness of leaves

$$\large{ E }$$ = Young's Modulus

$$\large{ w }$$ = width of leaves

## formulas that use Leaf Spring Stiffness for Quarter-Elliptic Laminated

 $$\large{ k = \frac { E \;n \;w \;t^3 } { 6\; l^3 } }$$

### Where:

$$\large{ k }$$ = stiffness

$$\large{ n }$$ = number of leaves

$$\large{ l }$$ = span

$$\large{ t }$$ = thickness of leaves

$$\large{ E }$$ = Young's Modulus

$$\large{ w }$$ = width of leaves