ISRO Mechanical & Aerospace 2009 - Question 40

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Circumferential and longitudinal strains in the cylindrical boiler under internal steam pressure are $\epsilon_1$ and $\epsilon_2$ respectively. Change in the volume of the boiler cylinder per unit volume will be

  • A. $\epsilon_1^2 \epsilon_2$
  • B. $\epsilon_1 \epsilon_2^2$
  • C. $2\epsilon_1 + \epsilon_2$
  • D. $\epsilon_1 + 2\epsilon_2$

Answer: C. $2\epsilon_1 + \epsilon_2$

Explanation: Volumetric strain $\epsilon_v = \epsilon_l + 2\epsilon_c = \epsilon_2 + 2\epsilon_1$.

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