. A tensile test specimen has a gage length = 50 mm and cross-sectional area = 100 mm. The specimen yields at 48,000 N, and the corresponding gage length = 50.23 mm (0.2% offset). The maximum load of 87,000 N is reached at a gage length = 64.2 mm. Determine: (a) Yield strength; (b) Modulus of elasticity; (c) Tensile strength; (d) If fracture occurs at a gage length of 67.3 mm, determine the total elongation; (e) If the specimen necked to an area = 53 mm, determine the total area reduction.