An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245
An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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