2. You are designing a part that will be made from a commercial grade steel. They give you the following data for stock steel: Yield Strength (MPa) 420 Grain Size (mm) .05 470 550 .024 0.015 Your vendor can make custom steel with grain sizes between 0.005 and 0.2mm. (this is a fictitious problem as your vendor would hopefully just give you the range of yield strength values) a. If your design requires a yield strength of 800 MPa, can you purchase a custom steel from the vendor that fits this requirement? Show your work. (10pts) Assuming this steel does not fit your requirement, your steel vendor then provides you with a chart showing how various alloy elements can change the strength of this steel. 300 C and N Change in yield strength, MPa 225 50 150 75 0 Si Ca Ma Mo Cr -75 0 0.5 10 15 20 25 Alloy weight% b. Assume your Hall-Petch constants do not change, which elements, and their wt.%, could you add to increase the Yield Strength to where you need it? Show your work. (10pts)