Euler's critical buckling load for a slender column of length L, moment of inertia I, and modulus E with BOTH ends pinned is:

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Mechanical Engineering QUESTION #2506

Question 1

Euler's critical buckling load for a slender column of length \(L\), moment of inertia \(I\), and modulus \(E\) with BOTH ends pinned is:

\(P_{cr} = \frac{\pi^2 EI}{4L^2}\)
\(P_{cr} = \frac{4\pi^2 EI}{L^2}\)
\(P_{cr} = \frac{\pi^2 EI}{L^2}\)✔️
\(P_{cr} = \frac{\pi EI}{L^2}\)

Correct Answer Explanation

Euler's buckling load for a pin-pin column: \(P_{cr}=\pi^2EI/L^2\). For fixed-free: \(P_{cr}=\pi^2EI/(4L^2)\). For fixed-fixed: \(P_{cr}=4\pi^2EI/L^2\).

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