Euler Buckling

Material Cross-section Length L: 2.00 m End conditions

Pinned-Pinned (K = 1.0) Fixed-Fixed (K = 0.5) Fixed-Pinned (K = 0.7) Fixed-Free (K = 2.0)

Applied load P: 0 kN

Stats

E—

I_min—

Area A—

K—

Slenderness L/r—

P_cr (Euler)—

Current P—

Safety factor—

Regime—

Euler: P_cr = π²·E·I_min / (K·L)². Slender columns buckle into the first eigenmode set by the boundary conditions. For stocky columns (low L/r) yield strength governs — the Johnson parabola takes over.