ISRO Mechanical & Aerospace 2008 - Question 9

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Topic: Strength of Materials

With a punch for which the maximum crushing stress is 4 times the maximum shearing stress of the plate, the biggest hole that can be punched in the plate would be of diameter equal to

  • A. 1/4 * Thickness of plate
  • B. 1/2 * Thickness of plate
  • C. Plate thickness
  • D. 2 * plate thickness

Answer: C. Plate thickness

Explanation: Crushing stress = 4 * shearing stress. F / ((pi/4) * D²) = 4 * F / (pi * D * t). This simplifies to 4/D = 4/t, which means D = t (Diameter equals Plate thickness).

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