Buckling Load Calculator

Calculate Euler and Johnson buckling critical loads. Determine effective length and slenderness ratio for column stability — free structural tool

Euler Buckling: P_cr = \u03C0\u00B2EI / (KL)\u00B2

Johnson Buckling: \u03C3_cr = \u03C3_y[1 - \u03C3_y\u03BB\u00B2/(4\u03C0\u00B2E)]

Slenderness ratio: \u03BB = KL / r

Critical slenderness: \u03BB_c = \u03C0\u221A(2E/\u03C3_y)

Material & Section

Material

Steel (SS400)Aluminum (A6061)

Young's Modulus E (MPa)

Yield Stress σy (MPa)

Column Length L (mm)

End Condition Factor K

Cross Section

RectangleCircleHollow CircleI-Shape

Width b (mm)

Height h (mm)

Results

EulerJohnson(\u03BB = 52.0 ≤ \u03BB_c = 129.6)

Buckling Load Pcr

4322.31 kN

(4322306 N)

Effective Length KL

3000 mm

Slenderness λ

51.96

Critical λc

129.61

Area A

20000.0 mm\u00B2

Moment of Inertia I

6.667e+7 mm\u2074

Radius of Gyration r

57.74 mm

Euler Stress σE

731.08 MPa