Question

Two plates each 5 mm thick are connected by means of four rivets as shown in figure. The permissible stresses for rivets and plates in tension, shear and compression are 80, 60, and 120 N/mm${}^2$ respectively. Which of the riveted plate is ________ (mm).

Answer 1

$\text{Diameter of rivets}$

$P=4(\frac{\pi }{4}\times d^2\times \tau )$

$15\times {10}^3=4\times \frac{\pi }{4}\times d^2\times 60$

$d^2=\frac{15\times {10}^3\times 4}{\pi \times 4\times 60}$

$\text{d = 8.92 mm}$

$(W-d)\times t\times {\sigma }_t=15\times {10}^3$

$W=\frac{15\times {10}^3}{80\times 5}+d$

$W=\frac{15\times {10}^3}{80\times 5}+8.92$

$\Rightarrow W=46.42mm$