Problem 6 [25 points] A tension test was conducted on a specimen of AISI 1020 hot-rolled steel having an initial diameter of 9.11 mm. Representative test data are given in Tablel in the form of force and engineering strain. For Strain the extensometer gage length was L₁ = 50.8 mm. In addition, minimum diameters were measured manually with a micrometer in the necked region at several points during the test. After fracture, the broken halves were reassembled, and the following measurements were made: (1) Marks originally 25.4 mm apart and on opposite sides of the necked region were 38.6 mm apart due to the lengthwise stretching in the specimen; (2) similar marks originally 50.8 mm apart were 70.9 mm apart; (3) the final minimum diameter in the necked region was 5.28 mm. (A) Determine the following material properties: elastic modulus, 0.2% offset yield strength, ultimate tensile strength, percent elongation, and percent reduction in area. (B) Assume that the test was interrupted upon reaching a strain = 0.007, and the specimen unloaded to zero force. Estimate the elastic strain recovered and the plastic strain remaining. Also, what would the new length of the original 50.8 mm gage section. Hint: Might save time/effort to use excel, Mathcad, Matlab, etc. to help solve part (A) Table2 Data and Analysis for a Tension Test on AISI 1020 Hot-Rolled Steel Test Data Force P, KN Engr. Strain Diameter ε d. mm 0.00 0 9.11 6.67 0.0005 9.11 13.34 0.0010 9.11 19.13 0.0015 9.11 17.79 0.0023 9.11 17.21 0.0031 9.11 17.53 0.0050 9.11 17.44 0.0070 9.11 17.21 0.0100 9.11 20.77 0.0490 8.89