A metallic sample is 10 mm long and has a square cross section of 4 mm x 4mm. The Poisson's ratio is 0.25 for this material. Use the engineering stress strain curve below. Write equations and show work. (12 pts) (a) What is the elastic modulus of this material? (b) What load is required for 0.25% strain? (c) If the sample experiences 0.25% strain in tension, then what will be the diameter of the sample? (d) What is the yield stress of this material? (e) A 30 mm long sample is deformed under 50 MPa stress and then the load is removed. What is the total length after the load is removed? (f) Another 30 mm sample is deformed to the maximum stress shown below and then the load is removed. What is the total length after the load is removed? 200 MPa stress strain 0.01