Euler Column Calculator

Analyze column stability using Euler's buckling theory. Calculate critical load, required section properties, and maximum allowable length.

Column Analysis

in
in&sup4;
in²
ksi
lb

Euler Critical Load

1380.30 kips

1380298 lb

STABLE

Safety Factor: 13.80 | Stress Ratio: 7.2%

Effective Length (KL)
144.00 in
Slenderness (KL/r)
40.73
Radius of Gyration
3.536 in
Critical Stress
172.54 ksi
Applied Stress
12.50 ksi
Safety Factor
13.80
Required I for Load
7.24 in&sup4;
Max Length for Load
534.99 in

Euler Theory Assumptions

  • Column is perfectly straight initially
  • Load is applied at centroid
  • Material is homogeneous and isotropic
  • Stress does not exceed proportional limit