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GATE XE 2025 | Question: 76

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​​​​Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?

  1. Cantilever column with a length $\text{L}$ and cross-section diameter $\text{d}$
  2. Column with hinge at one end and roller at the other end with a length $2 \:\text{L}$ and cross-section diameter $\text{d}$.
  3. Cantilever column with a length $\text{L}$ and cross-section diameter $2\:\text{d}$
  4. Column with hinge at one end and roller at the other end with a length $\text{L}$ and cross-section diameter $\text{d}$.

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