# Leaf Spring Stiffness

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.

## Leaf Spring Stiffness for Semi-Elliptic Laminated formula

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

### 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

## Leaf Spring Stiffness for Quarter-Elliptic Laminated formula

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

### 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