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Leaf Spring refers to a spring made of a number of strips of metal curved slightly upward and clamped together one above the other. Leaf springs are also called beam springs and flat springs. A simple type of spring made of a small, flat piece of metal often used in automotive applications, such as suspension systems. Spring Rate is half the difference between the loads 1 inch above and 1 inch below a specified position.

Table of Contents:

Formula

**k=8Enbt ^{3}/3l^{3}**

**Where,**

E = Youngs modulus [Nm^{-2}]

n = Number of Leaves

b = Width of leaves [m]

t = Thickness of leaves [m]

L = Spam [m]

Leaf spring is commonly used for the suspension in wheeled vehicles. The term is also used to refer to a bundled set of leaf springs. As the spring flexes, the leaves slide over each other; the resultant friction provides a dampening of the oscillations produced by large spring deflections.

**Example:**

Calculate the Stiffness of the leaf spring for the given details.

Youngs Modulus (E): 25 mW

Number of Leaves (n): 15

Span (L): 10 cm

Width of Leaves (b): 5 mW/cm^{2}

Thickness of Leaves (t):20 mW/cm^{2}

**Solution:**

**Apply Formula:**

k = 8Enbt^{3}/3l^{3}

k = 8*25*15*5*20^{3} / 3*10^{3}

k = 15000*8000/3*1000

k = 120000/3000

k = 40000 mW/cm^{2}

**Stiffness (k): 40000 mW/cm ^{2}**