GATE CE 2017 Set 1 — Question 42
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Structural Engineering → Torsion, Stress Transformation & Columns → Euler's Column Theory
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Question
Consider two axially loaded columns, namely, and , made of a linear elastic material with Young's modulus MPa, square cross-section with side mm, and length m. For Column , one end is fixed and the other end is free. For Column , one end is fixed and the other end is pinned. Based on the Euler's theory, the ratio (up to one decimal place) of the buckling load of Column to the buckling load of Column is ___________
Correct answer
7.9 to 8.3
Solution
1.Euler Buckling Load Formula: , where is the effective length.
2.Column 1 (Fixed-Free): The effective length .
3.Column 2 (Fixed-Pinned): The effective length .
4.Calculate the Ratio:
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