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Kaip apskaičiuoti Column Buckling

Kas yra Column Buckling?

Euler column buckling predicts critical load at which slender columns fail by instability rather than material crushing. It's essential for structural safety.

Formulė

Calculate: P_cr = π²EI/(KL)² where K is effective length factor
KL
KL value — Variable used in the calculation
K
K value — Variable used in the calculation

Žingsnis po žingsnio vadovas

  1. 1Calculate: P_cr = π²EI/(KL)² where K is effective length factor
  2. 2Compare to axial compression strength
  3. 3Results determine column design adequacy

Worked Examples

Įvestis
E = 200 GPa, I = 2×10⁹ mm⁴, L = 4 m, K = 1 (pinned)
Rezultatas
P_cr ≈ 2.47 MN (critical load)
Higher leads to buckling

Common Mistakes to Avoid

  • Using unsupported length instead of effective length
  • Neglecting lateral bracing effects on K

Frequently Asked Questions

Why do long columns fail at lower loads?

Buckling instability dominates; longer unsupported length reduces critical load dramatically (proportional to 1/L²).

What is effective length factor K?

K accounts for end conditions: K=0.5 (fixed-fixed), K=1 (pinned-pinned), K=2 (cantilever).

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