1. A Brinell hardness measurement is performed on a brass plate using a 10 mm diameter sphere of steel. A load of 3800 kg produces a 4.20-mm diameter impression in the brass surface. Calculate the BHN of this alloy in Kg/mm2. (P = kg, D and d = mm)

2. . What is the angle between the [1,1,1] and [1,2,0] lattice directions in a cubic system?

3. A bar of 1040 steel is cold worked. The bar has 10 percent elongation and initial cross-sectional area of 40 mm2. Using the attached figure in your solution and convert percent elongation (ductility) to percent cold work, calculate the final area (in mm2).

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Test Brinell Indenter 10-mm sphere of steel or tungsten carbide Vickers Diamond microhardness pyramid Shape of Indentation Side View D -136 Knoop Diamond microhardness pyramid l/b = 7.11 blt = 4.00 Rockwell and superficial Rockwell Diamond cone: in diameter steel spheres 120 Top View Load Formula for Hardness Number" 2P HB D[D-VD d] HV-1854P/d t b P HK = 14.2P/ 60 kg 100 kg Rockwell 150 kg. 15 kg 30 kg Superficial Rockwell 45 kg "For the hardness formulas given, P (the applied load) is in kg, and D, d, d, and I are all in millimeters. Test Brinell Indenter 10-mm sphere of steel or tungsten carbide Vickers Diamond microhardness pyramid Shape of Indentation Side View D -136 Knoop Diamond microhardness pyramid l/b = 7.11 blt = 4.00 Rockwell and superficial Rockwell Diamond cone: in diameter steel spheres 120 Top View Load Formula for Hardness Number" 2P HB D[D-VD d] HV-1854P/d t b P HK = 14.2P/ 60 kg 100 kg Rockwell 150 kg. 15 kg 30 kg Superficial Rockwell 45 kg "For the hardness formulas given, P (the applied load) is in kg, and D, d, d, and I are all in millimeters.