Two strips of metal are riveted together at their ends by four rivets, each of diameter 6 mm. Assume that each rivet is to carry one quarter of the load. If the shearing stress on the rivet is not to exceed `6.9xx10^7Pa`, the maximum tension that can be exerted by the riveted strip is

Options

A. `2xx10^3N`
B. `3.9xx10^3N`
C. `7.8xx10^3N`
D. `15.6xx10^3N`

Answer

C

Explanation

Radius of a rivet
`r=(6)/(2)mm=3mm=3xx10^-3m`
maximum loa on a rivet
`=`maximum stress`xx`area of cross section
`=6.9xx10^7xxpi(3xx10^-3)^2`
`=1950N`
Maximum tension that can be exerted by rivet strip
`=4xx1950N=7800N=7.8xx10^3N`