basic

Column Euler Buckling Load Calculator

P_cr = π²EI/(KL)² — critical load for a slender column.

Calculates the Euler critical buckling load P_cr = π²EI/(KL)², where E is elastic modulus, I is second moment of area, K is effective length factor, and L is length.

Published Last reviewed 1 min read

Inputs

Pa
m⁴
m

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P_cr = π²EI / (KL)²

In depth

Calculates the Euler critical buckling load P_cr = π²EI/(KL)², where E is elastic modulus, I is second moment of area, K is effective length factor, and L is length.