Slenderness Ratio Calculator

Free calculate column slenderness ratio for buckling analysis. determine λ = l/r or λ = kl/r for structural columns.

Input Parameters

r = √(I/A) where I is moment of inertia and A is area

Results

Enter parameters to calculate slenderness ratio

Slenderness Ratio Formula

Formula

λ = L / r

or

λ = KL / r

Where:

  • • λ = slenderness ratio
  • • L = length (m)
  • • K = effective length factor
  • • r = radius of gyration (m)

Classification

  • • Short column: λ < 50
  • • Intermediate: 50 ≤ λ < 200
  • • Long column: λ ≥ 200
  • • Euler buckling: λ > critical value

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