Calculation$/$Graphing Questions

Mechanical Properties $(28$ points total$)$

In the Materials Science lab, your team performed tensile testing on an alloy, and the corresponding stress$-$strain curve is shown in the figure.

All answers are required to have units.

Please show work on the graphs, no hand sketching.

$($a$)$ Determine the modulus of elasticity $(8$ points$)$;

$($b$)$ If the specimen had a diameter of $3$ mm $,$ determine the strain when the load was $2,100N(10$ points$).$

$($c$)$ If the original length of the specimen was $30$ mm $,$ determine the change in length when the specimen was plastically deformed and subjected to a tensile stress of $450$ MPa $(10$ points$).$