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GATE 2018 ME (ME2) – Question 15

Mechanics of Materials · Euler theory of columns · 1 mark · Multiple choice

Find the minimum axial compressive load initiating buckling of a pinned–pinned slender column of bending stiffness EI and length L.

  1. $\pi^2EI/(4L^2)$
  2. $\pi^2EI/L^2$
  3. $3\pi^2EI/(4L^2)$
  4. $4\pi^2EI/L^2$

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Show answer and explanation

Correct answer: (B) $\pi^2EI/L^2$

Explanation

Euler buckling load is $P_{\rm cr}=\pi^2EI/L_e^2$. For pinned ends $L_e=L$, so $P_{\rm cr}=\pi^2EI/L^2$: **B**.