GATE CE 2018 Set 1 — Question 14
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Structural Engineering → Torsion, Stress Transformation & Columns → Buckling of Columns
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Question
A column of height with a rectangular cross-section of size has a buckling load of . If the cross-section is changed to and its height changed to , the buckling load of the redesigned column will be
Correct answer
(A) P/12
Solution
Euler's buckling load is given by .Case 1:
Cross-section:
Height:
Case 2:
Cross-section:
Height:
Ratio:
Therefore, .
Cross-section:
Height:
Case 2:
Cross-section:
Height:
Ratio:
Therefore, .
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