Question

Two strips of metal are riveted together at their ends by four rivets, each of diameter $6mm$. Assume that each rivet is to carry one quarter of the load. If the shearing stress on the rivet is not to exceed $6.9\times {10}^{7}Pa$, the maximum tension that can be exerted by the riveted strip is then

• A. $2\times {10}^{3}N$
• B. $3.9\times {10}^{3}N$
• C. $7.8\times {10}^{3}N$.
• D. $15.6\times {10}^{3}N$

Answer 1

The correct option is C $7.8\times {10}^{3}N$.

Radius of a rivet,
$r=\frac{6}{2}mm=3mm=3\times {10}^{-3}m$
Maxium stress$=6.9\times {10}^{7}Pa$
Maximum load on a rivet
$=$ Maximum stress $\times$ Area of cross-section
$=6.9\times {10}^7\times \pi \times {(3\times {10}^{-3})}^2=1950N$
$\therefore$ Maximum tension that can be exerted by rivet strip
$Tension=4\times 1950N=7800N=7.8\times {10}^{3}N$