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Columns: define slenderness ratio precisely. Use the standard mechanical design definition relating effective length and cross-section property. Choose the correct option.

Difficulty: Easy

Correct Answer: Effective length of column ÷ least radius of gyration of the column

Explanation:

Definition
The slenderness ratio quantifies column propensity to buckle and is defined as λ = Le / kmin where Le is the effective length and kmin is the least radius of gyration of the cross section.


Why option (c)
Euler buckling and design formulas employ λ = Le/k; using the least radius of gyration is conservative because buckling occurs about the weakest axis.


Final Answer
Effective length of column ÷ least radius of gyration of the column

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