INTERFAIC Engineering toolkit · Prototype

Euler buckling

Ideal elastic critical load for a slender column.

Geometry and loading

SCHEMATIC · NOT TO SCALE

Input parameters

Unit system

Results update as you edit.

Results

Key values (for reference)

ⓘ   Assumptions

Straight, slender, ideal column with centred compression and ideal end restraints. Guided means rotation restrained with lateral translation permitted. Only stable idealised end combinations are offered; real frames may need a different K. Elastic buckling only: critical stress must lie below the material’s proportional limit. This is not an allowable design load; imperfections, local buckling and code reduction factors are excluded.

Equations & calculation model
Pcr = π²EI / (KL)²
σcr = Pcr / A

Idealised calculations for preliminary design. Check geometry, loading and boundary conditions against your application.

What it is used for

Screening the elastic stability of slender compression members.

Standards & references

Strength of Materials: columns and Euler buckling. Euler critical load is an ideal elastic instability result, not an allowable load. Validate effective length, slenderness, material limits and the governing design-code reductions.

Related tools and drawing guides

Section properties · Axial stress