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Engineering
Euler Critical Load
P_cr = π²EI / (KL)²
Runs locally in your browser
Parameters
Results
- P_cr
- 18,423.3 kN
- σ_cr (A=5000 mm²)
- 3,685 MPa
For slender columns; at low slenderness — check σ=F/A instead.
How it works
Calculate Euler critical buckling load for a slender column.
Who it's for: Structural engineers checking elastic stability of compression members.
P_cr = π²EI/(KL)² where K is the effective length factor.
K depends on end boundary conditions (0.5–2.0).
Valid for long slender columns — short columns fail by crushing, not buckling.
How to use
- Enter E, I, unsupported Length L, and effective length factor K.
- Read P_cr and compare to applied load with adequate safety margin.