Which of the following defines the Slenderness Ratio of a steel column?

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PSSSB Jr. Draftsman 2015 Official Paper
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  1. Effective length of column / least width of column
  2. Effective length of column / net load on column
  3. Effective length of column / least radius of gyration
  4. Effective length of column / moment of inertia

Answer (Detailed Solution Below)

Option 3 : Effective length of column / least radius of gyration
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ST 1: Building Drawings - Punjab SSSB Jr Draftsman Civil
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Explanation:

Slenderness ratio is the ratio of the 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

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

  • Short columns are those whose slenderness ratio is less than 32 or length to diameter ratio is less than 8. Such columns are always subjected to direct compressive stress only.
  • Long columns have a slenderness ratio more than 120 or length to diameter ratio is more than 30.
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