Calculate the effective length of a steel column of length 3 m that is effectively held in position at both ends and restrained in rotation at one end?

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SSC JE Civil 06 Jun 2024 Shift 1 Official Paper - 1
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  1. 1.4 m
  2. 1 m
  3. 2.4 m
  4. 3.4 m

Answer (Detailed Solution Below)

Option 3 : 2.4 m
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Detailed Solution

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Explanation:

The following table shows the effective length of prismatic compression members -

 Degree of end restraint

Theoretical value

Recommended value

Effectively held in position and restrained against rotation at both ends.

0.50L

 0.65L

Effectively held in position and restrained against rotation at one end

0.70L

0.80L

Effectively held in position at both ends, but not restrained against rotation.

 1.00L

 1.00L

Effectively held in position and restrained against rotation at one end and at other end restrained against rotation but not held in position

1.00L

1.20L

Effectively held in position and restrained against rotation at one end and at other end partially restrained against rotation but not held in position

-

1.50L

Effectively held in position at one end but not restrained against rotation and at other end restrained against rotation but not held in position.

2.00L

2.00L

Effectively held in position and restrained against rotation at one end and at other end not held in position and not restraint against rotation.

2.00 L

2.00L


Given, L= 3 m

\(\text{Effective length of a steel column} = 0.8L = 0.8 \times 3 = 2.4 \, \text{m} \)

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