Discussion
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 Sf 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.
Answer: A
The minimum plate thickness is \(\frac{F}{S_{f}(W - 2d)}\).
The weakest tensile section of each plate is the line through the rivet holes. Two rivets of diameter d lie in that row, so the net width there is W - 2d, and the whole load F passes through it:
\[ \begin{aligned} S_{f}\,t\,(W - 2d) &\ge F \\ t &\ge \frac{F}{S_{f}(W - 2d)} \end{aligned} \]
F/(SfW) ignores the holes (the gross section). W - d removes only one hole, and 2F/(SfW) doubles the load without removing any holes.
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