Problem $3$

Figure $5-3$ shows the initial portion of the stress$-$strain diagram obtained through a uniaxial tensile test on a rod that is made of a metal alloy. The rod has a circular cross section with an initial nominal diameter of $0\mathrm{.}5$ in$.$

Fig. $5-3$

Determine the following parameters with reasonable approximation:

a$)$ Modulus of elasticity of the metal alloy.

b$)$ Yield stress $($or yield strength$)$ of the metal alloy.

c$)$ Load on the specimen that causes yielding.

For each answer, present in writing calculations and reasoning.