Machine design tool · V0.8

Euler Column Buckling Calculator

Explore how stiffness, length, section inertia and end restraint affect the ideal elastic buckling load.

Slender column buckling under axial compression

End condition

Effective-length factor K

Elastic modulus E (GPa)

Second moment I (mm⁴)

Unsupported length L (mm)

Area A (mm², optional)

Euler critical load—

Effective length—

Euler stress—

Slenderness KL/r—

Pcr = π²EI / (KL)²

Euler buckling applies to ideal, slender, elastic columns. Short/intermediate columns, imperfections, eccentric load, residual stress, local buckling, inelasticity and frame restraint require more appropriate methods.