ISRO Mechanical & Aerospace 2012 - Question 2

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A column of length 'L' is fixed at bottom end and hinged at the other end. This column is restrained from lateral displacement at 1/3rd height. The buckling load is given by

Figure for question 2, ISRO Mechanical & Aerospace 2012

  • A. 9\pi² EI / (4L^2)
  • B. 4\pi² EI / L²
  • C. 4\pi² EI / (9L^2)
  • D. \pi² EI / L²

Answer: A. 9\pi² EI / (4L^2)

Explanation: The restraint creates two segments. Top segment (2L/3) is hinged-hinged: P = \pi² EI / (2L/3)^2 = 9\pi² EI / 4L^2. Bottom segment (L/3) is fixed-hinged: P approx 2\pi² EI / (L/3)^2 = 18\pi² EI / L². Failure occurs at the lower load.

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