Question

Two long metallic strips are joined together by two rivets each of radius `2 mm`. Each rivet can withstand a maximum shearing stress of `1.5 xx 10^(9) N//m^(2)`. Assuming that each rivet shares the stretching load equally, the maximum tensile force the strip can exert without rupture is
A. `1.88xx10^(4)N`
B. `3.8xx10^(4)N`
C. `6xx10^(7)N`
D. `3xx10^(4)N`

Answer 1

Correct Answer - B
Let the maximum tensile force that each river can experience be `F`, then maximum shearing stress on each river is
`sigma=F/A=1.5xx10^(9)`
`A=pir^(2)`, where `r=2xx10^(-3)m`
Required force is `2F`.