A column has 4 m effective length and 20 cm. diameter, then the slenderness ratio of the column will be:

This question was previously asked in
UKPSC JE Civil 8 May 2022 Official Paper-I
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  1. 42
  2. 40
  3. 400
  4. 80

Answer (Detailed Solution Below)

Option 4 : 80
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UKPSC JE CE Full Test 1 (Paper I)
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Detailed Solution

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Concept:

Slenderness ratio (λ) is defined as:

The radius of gyration (k) is given by:

where L= Effective length of the column, kmin= minimum radius of gyration, I = Moment of Inertia, A = Area of the cross-section

Calculation:

Given:

 d = 200 mm, L = 4 m = 4000 mm

The radius of gyration (k) is:

The slenderness ratio (λ) is:

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