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Paano Kalkulahin si Column Buckling

Ano ang 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.

Pormula

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

Step-by-Step na Gabay

  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

Mga Nalutas na Halimbawa

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

Mga Karaniwang Mali na Dapat Iwasan

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

Mga madalas itanong

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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