Leaf Springs Calculator

➔ Calculate Stiffness for Semi-Elliptic Laminated Leaf Spring
➔ Calculate Stiffness for Quarter-Elliptic Laminated Leaf Spring

Calculate Stiffness for Semi-Elliptic Laminated Leaf Spring


E = Youngs Modulus      n = Number of Leaves
b = Width of Leaves      t = Thickness of Leaves
L = Span      k = Stiffness
Youngs Modulus (E):
Nm-2
Number of Leaves (n):
Span(L):
m
Width of Leaves (b):
m
Thickness of Leaves (t):
m
Stiffness (k):
Nm-1

Calculate Stiffness for Quarter-Elliptic Laminated Leaf Spring


E = Youngs Modulus      n = Number of Leaves
b = Width of Leaves      t = Thickness of Leaves
L = Span      k = Stiffness
Youngs Modulus (E):
Nm-2
Number of Leaves (n):
Span(L):
m
Width of Leaves (b):
m
Thickness of Leaves (t):
m
Stiffness (k):
Nm-1

To calculate the stiffness of laminated leaf springs, you need to use specific formulas based on the type of spring. Here's how to calculate the stiffness for both semi-elliptic and quarter-elliptic laminated leaf springs:

1. Semi-Elliptic Laminated Leaf Spring Stiffness Calculation

For a semi-elliptic laminated leaf spring, the stiffness can be calculated using the following formula:

Where:

  • k = Spring stiffness (N/m or lb/in)
  • E = Modulus of elasticity of the material (Pa or psi)
  • b = Width of the leaf spring (m or inches)
  • t = Thickness of the leaf spring (m or inches)
  • l = Length of the leaf spring (m or inches)
  • n = Number of leaves in the spring
  • d = Distance between the center of the spring and the point of load application (m or inches)

2. Quarter-Elliptic Laminated Leaf Spring Stiffness Calculation

For a quarter-elliptic laminated leaf spring, the stiffness can be calculated using a slightly different formula:

Where the variables are the same as the previous formula, but the length ll l and the number of leaves nn n may have slightly different impact depending on the specific design of the spring.