With reference to compression members of steel structures, the slenderness ratio of compression is defined as the _______.

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SSC JE Civil 9 Oct 2023 Shift 1 Official Paper-I
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  1. ratio of the effective length to the actual length of the member
  2. ratio of the effective length to the area of section of the member
  3.  ratio of the effective length of the member to the appropriate radius of gyration
  4. ratio of the length of the member to the appropriate radius of gyration

Answer (Detailed Solution Below)

Option 3 :  ratio of the effective length of the member to the appropriate radius of gyration
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Explanation:

Slenderness ratio is the ratio of the effective length of a column and the least radius of gyration of its cross-section. It is used extensively for finding out the design load as well as in classifying various columns in short/intermediate/long

\(\lambda = \frac{{{L_e}}}{{{k_{min}}}}\)

\(k = \sqrt {\frac{I}{A}}\)

Leffective = Effective length of the column

kmin= minimum radius of gyration

I = Moment of Inertia

A = Area of the cross-section

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