ISRO Mechanical & Aerospace 2010 - Question 25

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Given that $P_E$ = the crippling load given by Euler, $P_C$ = the load at failure due to direct compression, $P_R$ = the load in accordance with the Rankine's criterion of failure. Then $P_R$ is given by

  • A. $(P_E + P_C)/2$
  • B. $\sqrt{P_E \times P_C}$
  • C. $\frac{P_E P_C}{P_C + P_E}$
  • D. None of the above

Answer: C. $\frac{P_E P_C}{P_C + P_E}$

Explanation: Rankine's formula: $1/P_R = 1/P_C + 1/P_E$.

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