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GATE2017 ME-1: 19

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Consider the schematic of a riveted lap joint subjected to tensile load $F$, as shown below. Let $d$ be the diameter of the rivets, and $S_{f}$ be the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of the plates? Assume the plates to be identical.

  1. $\dfrac{F}{S_{f}(W-2d)} \\$
  2. $\dfrac{F}{S_{f}W} \\$
  3. $\dfrac{F}{S_{f}(W-d)} \\$
  4. $\dfrac{2F}{S_{f}W}$
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