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

Answer 1

Correct Answer - `3.77 xx 10^(4)N`
`r = 2 mm`
`((F)/(2A))_(max) = 1.5 xx 10^(9)`
`F = 1.5 xx 10^(9) xx A xx 2`
`= 1.5 xx 10^(9) xx pi(2 xx 10^(-3))^(2) xx 2`
`= 18840 xx 2 = 3.77 xx 10^(4) N`