The 8-mm-diameter bolt is made of an aluminum alloy. It
fits through a magnesium sleeve that has an inner
diameter of 12 mm and an outer diameter of 20 mm.
The original lengths of the bolt and sleeve are 80 mm
and 50 mm, respectively. Assume the material at A is
rigid. $E_{al}$ = 70 GPa, $E_{mg}$ = 45 GPa. The nut on the bolt
is tightened so that the tension in the bolt is 8.4 kN.
(Figure 1)
Determine the strain in the bolt.
Express your answer using three significant figures.
$\epsilon_B$ = mm/mm
Determine the strain in the sleeve.
Express your answer using three significant figures.
$\epsilon_S$ = mm/mm