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📏 Slenderness Ratio Calculator
Calculate slenderness ratio, critical buckling load, and column stability analysis
📐 Slenderness Ratio Formulas
λ = KL/r
r = √(I/A)
P_cr = π²EI/(KL)²
σ_cr = π²E/λ²
λ = slenderness ratio, K = effective length factor, L = length, r = radius of gyration, I = moment of inertia, A = area, P_cr = critical buckling load, σ_cr = critical stress
💡 Tips
- Slenderness ratio determines column buckling behavior
- λ < 30: Short column (crushing failure)
- 30 < λ < 100: Intermediate column (inelastic buckling)
- λ > 100: Long column (elastic buckling)
- Higher slenderness ratio means lower buckling load
- Effective length factor depends on end conditions