About this tool
Find the critical buckling load of a slender column with Euler’s formula.
P_cr = π²·E·I ÷ (K·L)². E is in GPa, I in cm⁴ and L in metres; K depends on the end supports.
Formula: P_cr = π²EI/(KL)²
Example: Young’s modulus E (GPa) = 200, Moment of inertia I (cm⁴) = 500, Column length L (m) = 3, End supports = Pinned–pinned (K = 1) → Critical load (kN) = 1,096.623.
Valid for long, slender elastic columns. Short columns fail by crushing first; real designs use safety factors and codes.
Quick steps
- Enter your values — every field shows its unit.
- Press Calculate (or Try an example to see how it works).
- Read the results and copy them if you need them elsewhere.
The calculation runs in your browser. Nothing you type is sent to 1CLIK.
FAQ
How does the Euler Buckling Calculator work?
P_cr = π²·E·I ÷ (K·L)². E is in GPa, I in cm⁴ and L in metres; K depends on the end supports.
What should I keep in mind?
Valid for long, slender elastic columns. Short columns fail by crushing first; real designs use safety factors and codes.
Is my data sent anywhere?
No. The numbers stay on your device; the page only shows the result.