Discussion
Euler's column formula gives the critical load as proportional to
Answer: A
Correct answer: EI over effective length squared
\[ P_{cr} = \frac{\pi^2 EI}{L_e^2}. \] Two things follow at once. The critical load depends on the length squared, so doubling an unsupported length quarters the capacity; and the material enters only through \( E \), so the yield stress plays no part - a high-strength alloy buckles at the same load as a mild one of the same section.
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