The buckling load in a steel column is
- ARelated to the length
- BDirectly proportional to the slenderness ratio
- CInversely proportional to the slenderness ratioCorrect
- DNon-linearly to the slenderness ratio
Solution
Concept
Buckling load and slenderness ratio
Formula
Pcr = π²EI / Le² = π²EA / λ²
Step-by-step solution
1. Pcr = π²EA / λ², where λ = Le/r is the slenderness ratio. 2. Pcr decreases as the slenderness ratio increases.
Explanation
The buckling load of a column falls as its slenderness ratio rises (inverse relation). A slender column buckles at a much lower load than a stocky one.
Shortcut
Pcr ∝ 1/λ² (Euler).
Common mistake
Thinking buckling load increases with slenderness.
Correct answer: C) Inversely proportional to the slenderness ratio