Enter the modulus of elasticity, the moment of inertia, and the length of the column into the calculator to determine the critical force/load.

- All Force Calculators
- Axial Force Calculator
- Bending Stress Calculator
- Yield Strength Calculator
- Inertia Force Calculator

## Critical Force Formula

The following equation is used to calculate the Critical Force.

CL = (pi^2 * E * I) / L^2

- Where CL is the critical load (force)
- E is the modulus of elasticity (force/length^2)
- I is the momentum of inertia (length^4)
- L is the length

## What is a Critical Force?

Definition:

A critical force is a measure of the force required to buckle a column with a given modulus of elasticity, moment of inertia, and length.

## How to Calculate Critical Force?

Example Problem:

The following example outlines the steps and information needed to calculate Critical Force.

First, determine the modulus of elasticity . In this example, the modulus of elasticity is found to be 500 lbf/in^2.

Next, determine the momentum of inertia. For this problem, the momentum of inertia is found to be 20 in^4.

Next, determine the length. In this case, the length is measured to be 5 in.

Finally, calculate the Critical Force using the formula above:

CL = (pi^2 * E * I) / L^2

CL = (3.14159^2 * 500 * 20) / 5^2

CL = 3947.83 lbf