Q1. A cylindrical specimen of hot-rolled 1040 steel alloy having a diameter of 15.2 mm and length of 250 mm is deformed elastically in tension with a force of 48,900 N. Using the data contained in the following table, Metal Alloy Aluminum Brass Copper Magnesium Nickel Hot-rolled 1040 Steel alloy Mechanical Property Modulus of Yield Strength Shear Modulus Elasticity Poisson's Ratio MPa GPa GPa - 69 25 0.33 - 97 37 0.34 110 46 0.34 45 17 0.29 207 76 0.31 290 207 83 0.3 Titanium Tungsten Adddress the following: - 107 45 0.34 407 160 0.28 a. The amount by which this specimen will elongate in the direction of the applied stress b. The change in diameter of the specimen. Will the diameter increase of decrease? c. The measures that might be taken whilst at the stage of material selection to simplify things and ensure uniform lateral strain at circumference or around cross-section d. Up to what extreme Poisson's ratio value would A, LA₁l₁ == A₁₁ still hold along the gauge length (where, o and i, denote dimensions corresponding to original and instantaneous tensile states, respectively) e. Under conditions suggested in PART (c), what would be the shear angle if the material was to be exposed to a shear stress of 100 MPa in magnitude? [Solve for "G" using both an exact mathematical formula and a quick estimate relevant to this application specifying % error each time] f. Utilizing the cumulative data provided, calculate the force required to cause an elongation of 8.75 x 10 m. Justify your verdict whether the required is attainable or not. g. If we were to replace the material used with another that is better suited to ONLY allow for elongation up to 0.1684 mm under the applied load, mentioned in the main statement of the problem, which of the metals listed in the table provided would you nominate as a worthy candidate? Why? Explain