ISRO Mechanical & Aerospace 2011 - Question 53

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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 x Thickness of plate
  • B. 1/2 x Thickness of plate
  • C. Plate thickness
  • D. 2 x Plate thickness

Answer: C. Plate thickness

Explanation: Force to shear: $\pi d t \tau$. Force to crush punch: $\pi d²/4 \sigma_c$. Equating and using $\sigma_c = 4\tau$, we get $d = t$.

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