ISRO Mechanical & Aerospace 2006 - Question 14

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Topic: Strength of Materials

Longitudinal stress in a thin cylinder subjected to internal pressure is-

  • A. Half of the hoop stress
  • B. Twice the hoop stress
  • C. Become four times
  • D. None of the above

Answer: A. Half of the hoop stress

Explanation: For Thin Cylinder: Hoop/Circumferential stress $\sigma_{h}=\frac{Pd}{2t}$. Longitudinal stress $\sigma_{l}=\frac{Pd}{4t}$. Thus, $\sigma_{l}=\frac{1}{2}\sigma_{h}$.

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