If a steel column is designed for its stability, then the slenderness ratio is defined as the:

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  1. ratio of the length to the least lateral dimension
  2. ratio of the least lateral dimension to the length
  3. ratio of the length to the depth
  4. ratio of the length to the maximum lateral dimension

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Option 1 : ratio of the length to the least lateral dimension
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Slenderness Ratio of a Steel Column:

  • When a steel column is designed for its stability, the slenderness ratio is a crucial parameter.
  • The slenderness ratio is defined as the ratio of the length of the column to its least lateral dimension.
  • This ratio is important because it helps determine the buckling strength of the column. A higher slenderness ratio indicates a higher tendency for the column to buckle under axial load.
  • In mathematical terms, the slenderness ratio (λ) can be expressed as:
    • λ = Length / Least Lateral Dimension
  • The least lateral dimension is typically the smallest width or diameter of the cross-section of the column.
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