Buckling limit of compression-loaded columns

Euler buckling load, axial stiffness, cross-section area and second moment of area for a hollow circular column, for four standard end-condition (buckling mode) cases.

✓ validated against legacyoriginal: /calculators/buckling.htm
Buckling limit of compression-loaded columns — original diagram from /calculators/buckling.htm
Cross section, A0.31 10⁻³ m²
Second moment of area, I = π/64(D⁴−d⁴)7.85 10⁻⁹ m⁴
Axial stiffness, S = −dF/dL0.13 N/m
Buckling limit, F20.73 10³ N

Method & references

  • Euler buckling limit of compression-loaded circular (hollow) columns.

The computation is a literal port of the original client-side JavaScript from /calculators/buckling.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Buckling limit of compression-loaded columns — Engineering ABC