Structural Engineering
Column Buckling Simulator
A simulator modeling elastic column buckling under compressive loads. Customize material modulus, geometry, length, and constraints to calculate the critical bifurcation load, showing load-deflection profiles.
Model
Euler-Bernoulli
Slender column
Stability
Stable
Bifurcation active
Output
CSV
Export ready
Parameters
Boundary Condition Preset
Sweep Compressive Load
Stability Governing Equations
Euler Buckling Formula
Pcr = (π² · E · I) / (K · L)²
Effective Length
Leff = K · L
Safety Factor
FOS = Pcr / P_applied
Effective length factor K accounts for boundary support constraints.
Euler's model assumes elastic, perfectly straight columns under concentric axial load.
Interactive Compression Rig
Critical Load (Pcr)
1096.6kN
Applied Load
500.0kN
Slenderness Proxy
1.3
Safety Factor
2.19
Stability Curve (Critical Load vs Length)
Stability Analysis Data
| Length L (m) | Critical Load Pcr (kN) | Slenderness Ratio |
|---|---|---|
| 0.50 | 39,478.4 | 0.2 |
| 1.18 | 7,105.4 | 0.5 |
| 1.86 | 2,861.6 | 0.8 |
| 2.54 | 1,535 | 1.1 |
| 3.21 | 955.3 | 1.4 |
| 3.89 | 651.3 | 1.7 |
| 4.57 | 472.3 | 2.0 |
| 5.25 | 358.1 | 2.3 |
| 5.93 | 280.8 | 2.7 |
| 6.61 | 226.1 | 3.0 |
| 7.29 | 185.9 | 3.3 |
| 7.96 | 155.6 | 3.6 |
| 8.64 | 132.1 | 3.9 |
| 9.32 | 113.6 | 4.2 |
| 10.00 | 98.7 | 4.5 |