Column Buckling Calculator
Calculate Euler critical load, AISC allowable load, and slenderness ratio for columns
How to use Column Buckling Calculator
- 1Enter the column length, end fixity factor, cross-sectional area, and least moment of inertia.
- 2Provide the material's modulus of elasticity and any applied axial load.
- 3Review the critical buckling load and slenderness ratio to judge stability.
Euler buckling of columns
P_cr = π^2 × E × I / (K × L)^2Euler buckling occurs when a slender column under compression suddenly deflects sideways.
The effective length factor K depends on how the ends are restrained; pinned ends use K=1.0, fixed ends use K=0.5.
The slenderness ratio tells you whether Euler theory applies; very short columns fail by crushing rather than buckling.
Frequently asked questions
What is the slenderness ratio limit for Euler buckling?
Euler is generally valid when the slenderness ratio is above about 100 for steel, but codes provide specific transition limits.
Does material strength affect Euler buckling?
Not directly; Euler critical load depends only on elastic modulus, geometry, and length. Yield strength matters for inelastic buckling.
Can I account for self-weight?
This calculator uses an axial load you provide; add the column's self-weight to the applied load if it is significant.
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Column Buckling Calculator
Calculate Euler critical load, AISC allowable load, and slenderness ratio for columns