Mechanical & Aerospace

Column Buckling Lab

Why does a long thin column fail long before it crushes? Set the geometry, material and end conditions and the critical buckling load updates, with the operating point shown on the σcr–slenderness design curve. Slender columns follow Euler (Pcr ∝ 1/L²); short stocky ones yield first and follow the Johnson parabola. Fixing the ends shortens the effective length and multiplies the load four-fold.

K = 1λcslenderness λ →σcr

19.6 kN

Critical load Pcr

28 MPa

Critical stress

267

Slenderness λ

Euler (slender)

Regime

Material

Length L2000 mm
Diameter d30 mm

End conditions

Slender columns fail by Euler buckling (Pcr ∝ 1/L²); stocky ones yield first (Johnson). Fixing the ends shortens the effective length and multiplies the load.

How to use this simulation

Why does a long thin column fail long before it crushes? Set the geometry, material and end conditions and the critical buckling load updates, with the operating point shown on the σcr–slenderness design curve. Slender columns follow Euler (Pcr ∝ 1/L²); short stocky ones yield first and follow the Johnson parabola. Fixing the ends shortens the effective length and multiplies the load four-fold.

Everything runs in your browser — no sign-up, no download. Change a value and the result updates instantly, so you can build a feel for how each input shapes the outcome. It pairs with Crameleon's practice exams and step sheets when you want to go from intuition to working the problems.