What is the effective length of a prismatic compression steel member of unsupported length L restrained against rotation and translation at one end and free against translation but restrained for rotation at the other end? 

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DDA JE Civil 29 Mar 2023 Shift 3 Official Paper
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  1. 0.65 L
  2. 1.2 L
  3. 2.0 L
  4. 1.5 L

Answer (Detailed Solution Below)

Option 2 : 1.2 L
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Detailed Solution

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Explanation:

As per IS 800 : 2007, Clause 7.2.2 and Table-11

Effective length of prismatic compression member

Boundary Condition Schematic Representation Effective Length
At one end At other end
Translation Rotation Translation Rotation
Restrained Restrained Free Free 2.0L
Free Restrained Free Restrained 2.0L
Restrained Free Restrained Free 1.0L
Restrained Restrained Free Restrained 1.2L
Restrained Restrained Restrained Free 0.8L
Restrained Restrained Restrained Restrained 0.65L

 

Hence option (2) is correct.

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