GATE XE (Engineering Sciences) 2023 - Question 48

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Section: Solid Mechanics | Marks: 1

A thin walled, closed cylindrical vessel of inside diameter 𝑑 and wall thickness 𝑑 contains a fluid under pressure 𝑝. The figure below shows a part of the cylindrical vessel; end caps are not shown. Consider the small element shown with sides parallel and perpendicular to the axis of the cylinder. The stresses 𝜎1 and 𝜎2 are

Figure for question 48, GATE XE (Engineering Sciences) 2023

  • A. 𝜎1 = 𝑝𝑑 2𝑑; 𝜎2 = 𝑝𝑑 4𝑑
  • B. 𝜎1 = 𝑝𝑑 𝑑; 𝜎2 = 𝑝𝑑 2𝑑
  • C. 𝜎1 = 𝑝𝑑 4𝑑; 𝜎2 = 𝑝𝑑 2𝑑
  • D. 𝜎1 = 𝑝𝑑 2𝑑; 𝜎2 = 0

Answer: A. 𝜎1 = 𝑝𝑑 2𝑑; 𝜎2 = 𝑝𝑑 4𝑑

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