A copper specimen of Young's modulus 130 GPa is subjected to a tensile test in a laboratory. The following data are obtained. The initial length of the specimen = 80 mm Yield stress = 130 N/mm² Fracture stress = 145 N/mm² The initial diameter of the specimen = 6 mm Ultimate stress = 210 N/mm² The percentage of elongation = 40 % The percentage of reduction in area = 45% Determine the following. i) The elongation of the specimen at load 2.75 kN (2 Marks) ii) Load at yielding (1 Mark) iv) Final length (1 Mark) iii) Maximum load (1 Mark) v) Final diameter (2 Marks)

The following data are obtained from a tensile test of a copper specimen. - The load at the yield point is 146 kN. - Length of the specimen is 25 mm.  - The yield strength is 83 kN/mm2.  - The percentage of elongation is 40 %. Determine the following  (i) Diameter of the specimen,  ii) Final length of the specimen,  iii) Stress under an elastic load of 14 kN,  iv) Young's Modulus if the elongation is 1.1 mm at 14 kN  and  (v) Final diameter if the percentage of reduction in area is 25 %.    Solution Initial Cross-sectional Area (in mm2) Answer for part 1 The Diameter of the Specimen (in mm) Answer for part 2 Final Length of the Specimen (in mm) Answer for part 3 Stress at the elastic load (in N/mm2) Answer for part 4 Young's Modulus of the Specimen (in N/mm2) Answer for part 5 Final Area of the Specimen at Fracture (in mm) Answer for part 6 Final Diameter of the Specimen after Fracture (in mm) Answer for part 7

The following data are obtained from a tensile test of a copper specimen. - The load at the yield point is 142 kN. - Length of the specimen is 23 mm.  - The yield strength is 82 kN/mm2.  - The percentage of elongation is 48 %. Determine the following  (i) Diameter of the specimen,  ii) Final length of the specimen,  iii) Stress under an elastic load of 15 kN,  iv) Young's Modulus if the elongation is 1.6 mm at 15 kN  and  (v) Final diameter if the percentage of reduction in area is 20 %.    Solution Initial Cross-sectional Area (in mm2) Answer for part 1 The Diameter of the Specimen (in mm) Answer for part 2 Final Length of the Specimen (in mm) Answer for part 3 Stress at the elastic load (in N/mm2) Answer for part 4 Young's Modulus of the Specimen (in N/mm2) Answer for part 5 Final Area of the Specimen at Fracture (in mm) Answer for part 6 Final Diameter of the Specimen after Fracture (in mm)

The following data are obtained from a tensile test of a copper specimen. - The load at the yield point is 157 kN. - Length of the specimen is 23 mm.  - The yield strength is 89 kN/mm2.  - The percentage of elongation is 45 %. Determine the following  (i) Diameter of the specimen,  ii) Final length of the specimen,  iii) Stress under an elastic load of 18 kN,  iv) Young's Modulus if the elongation is 1.3 mm at 18 kN  and  (v) Final diameter if the percentage of reduction in area is 25 %.    Solution: Initial Cross-sectional Area (in mm2) The Diameter of the Specimen (in mm) Final Length of the Specimen (in mm) Stress at the elastic load (in N/mm2) Young's Modulus of the Specimen (in N/mm2) Final Area of the Specimen at Fracture (in mm) Final Diameter of the Specimen after Fracture (in mm)