Homework $3$:

$3-1$ The table shows a tensile testing result of a steel specimen, having the diameter of $12\mathrm{.}5$ mm and the gauge length of $50$ mm $.$ Draw the stress$-$strain diagram. Determine the modulus of elasticity, the proportional limit stress, the yielding stress, the ultimate stress, the fracture $($rupture$)$ stress and modulus of resilience. Finally, if a rod made with this steel has $1000$ mm long and is subjected to tensile stress of $500$ MPa $,$ what is its elongation? When the stress is released, determine whether the rod is returned to its original length. If not, what is the permanent set of the rod?