Elastic Euler Buckling Equation https://polyfill.io/v3/polyfill.min.js?features=es6 https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js

Elastic Euler Buckling Equation

The critical load \( P_{cr} \) at which buckling occurs is given by the Euler buckling formula:

\[ P_{cr} = \frac{\pi^2 EI}{(KL)^2} \]

Where:

• \( P_{cr} \) = Critical load at which buckling occurs
• \( \pi^2 \) = Mathematical constant (approximately 9.8696)
• \( E \) = Young’s modulus of the material
• \( I \) = Moment of inertia of the cross-section
• \( K \) = Effective length factor
• \( L \) = Actual length of the column