ISRO Mechanical & Aerospace 2017 - Question 6

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Topic: Mechanics of Materials

Buckling loads (Pi) of 4 columns of equal length and cross section, but with different end conditions are shown below. Which of the following is TRUE?

Figure for question 6, ISRO Mechanical & Aerospace 2017

  • A. Pq < Pp < Pr < Ps
  • B. Pr < Pp < Ps < Pq
  • C. Ps < Pr < Pq < Pp
  • D. Ps < Pq < Pr < Pp

Answer: B. Pr < Pp < Ps < Pq

Explanation: The buckling loads are: Pr(fixed-free) = π²EI/4l², Pp(hinged-hinged) = π²EI/l², Ps(fixed-hinged) = 2π²EI/l², Pq(fixed-fixed) = 4π²EI/l². The correct increasing order is Pr < Pp < Ps < Pq.

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