GATE CE 2019 Set 2 — Question 16
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Structural Engineering → Steel Member Design → Compression Members
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Question
A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical and design (IS:800- 2007) values, respectively, of effective length factor of the column are
- A.and
- B.and
- C.and
- D.and
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Correct answer
(C;D)
Solution
The boundary conditions described are:
1.One end: Restrained against both translation and rotation (Fixed end).
2.Other end: Restrained against rotation but free to translate (Guided roller/Sway end).
Theoretical Value: For a column fixed at one end and guided at the other, the theoretical effective length factor is .Design Value: According to IS 800:2007, Table 11, for a compression member effectively held in position and restrained against rotation at one end, and at the other end restrained against rotation but not held in position, the recommended design value for the effective length factor is .Therefore, both the theoretical and design values are , making option (C) the most accurate. However, in the official GATE 2019 answer key, both options (C) and (D) were accepted, likely due to varying interpretations of the 'theoretical' value in different academic contexts.Continue learning with Success Tracker
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