Critical Force Calculator

Critical Force Calculator calculator can be used to determine the critical buckling load of a column based on Euler's theory.

Input Parameters

Calculation Results

Calculation Formula

Pcrit = (π² * E * I) / (L²)

Where:
Pcrit = Critical buckling load (Newtons)
E = Young's modulus (Pa)
I = Area moment of inertia (m⁴) = πr⁴/4 for a circular cross-section
L = Length of the column (meters)

Result

Critical Force (Pcrit): 0 N

Critical Force Calculator Calculator Usage Guide

Learn how to use the Critical Force Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the length of the column in meters.
  2. Enter the radius of the cross-section in meters.
  3. Enter the Young's modulus of the material in Pascals.
  4. Click the "Calculate" button to compute the critical buckling load.
  5. Click the "Reset" button to clear all input fields and results.

Understanding the Formula

The critical buckling load is calculated using Euler's formula:

Pcrit = (π² * E * I) / (L²)

Where:

  • Pcrit is the critical buckling load in Newtons.
  • E is the Young's modulus of the material in Pascals.
  • I is the area moment of inertia of the cross-section in meters to the fourth power.
  • L is the length of the column in meters.

The area moment of inertia for a circular cross-section is calculated as πr⁴/4, where r is the radius of the cross-section.

Applications

This calculator is useful for engineers and designers working with columns and compression members to determine the maximum load they can safely support before buckling occurs.