TABLE P4.8 Load (Ib) Displacement (in.) Load (Ib) Displacement (in.) 2957 0.02926 288 0.00050 3119 0.04310 1239 0.00225 3337 0.06674 2207 0.00432 3513 0.09506 2562 0.00799 3604 0.11734 2703 0.01388 3677 0.14539 2800 0.01930 3643 0.15841 2886 0.02451
A round aluminum alloy bar with a 0.25-in. diameter and a 1-in. gauge length was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.8.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 modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 in/in. e. Initial tangent modulus. f. If the specimen is loaded to 3200 lb only and then unloaded, what is the permanent change in gauge length? g. When the applied load was 1239 lb, the diameter was measured as 0.249814 in. Determine Poisson’s ratio.
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