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eng.column-buckling Calculator
Calculates the Euler critical buckling load for a slender column from material modulus, moment of inertia, and effective length. Buckling is a function of slenderness ratio (kL/r) — columns with high slenderness fail elastically by buckling before reaching yield stress.
Inputs
Length
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
E
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
I
Resistance to rotational acceleration. Mass farther from the axis of rotation increases it — like a spinning skater extending their arms.
K
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Results
critical buckling load (kN)
Critical compressive force that causes sudden lateral collapse of a column. Above this, the column is unstable. Always design with a safety factor applied below this value.
effective length Le (m)
The computed linear length.
Euler formula
The specific form or variant of the result.
E (GPa)
Reference formula or conversion factor shown for context.
I (cm^4)
Reference formula or conversion factor shown for context.
k factor
A dimensionless multiplier applied in the calculation.