Buckling Calculator

Find the Euler critical buckling load of a column.

Young's modulus (GPa)

Area moment of inertia (mm⁴)

Column length

Effective length factor

Critical buckling load (N) 109,662.27

Formula: P_cr = π²·E·I ÷ (K·L)²

Step-by-step with your numbers:

1. Values used:

2. Young's modulus = 200 GPa

3. Area moment of inertia = 500,000 mm⁴

4. Column length = 3

5. Effective length factor = 1

7. Critical buckling load = 109,662.27N

Did we solve your problem today?

Euler's formula predicts when a slender column suddenly buckles under compression.

The math behind it

P_cr = π²·E·I ÷ (K·L)². Longer or thinner columns buckle at much lower loads.

Steel, I = 5×10⁵ mm⁴, 3 m, K = 1 → about 110 kN.

What is the K factor?

It accounts for end conditions: 1 for pinned ends, 0.5 for fixed-fixed, 2 for cantilever.