In a typical tension test a dog-bone shaped specimen is pulled in a machine. During the test, the force F needed to pull the specimen and the length L of a gauge section are measured. This data is used for plotting a stress-strain diagram of the material. Two definitions, engineering and true, exist for stress and strain. The engineering stress seand strain ?eare defined by
The following are measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross section with a radius of 0.25 in. (before the test). The initial gauge length is 0.5 in. Use the data to calculate and generate the engineering and true stress- strain curves, both on the same plot. Label the axes and use a legend to identify the curves.
Units: When the force is measured in pounds (lb) and the area is calculated in in.2, the unit of the stress is psi (pounds per square inch).
F (lb) | 0 | 4,390 | 7,250 | 10,780 | 11,710 | 12,520 | 12,800 | 13,340 |
L (in.) | 0.5 | 0.50146 | 0.50226 | 0.50344 | 0.50423 | 0.50577 | 0.50693 | 0.51138 |
F (lb) | 13,740 | 13,820 | 13,850 | 13,910 | 13,990 | 14,020 | 14,130 | |
L (in.) | 0.52006 | 0.52169 | 0.52362 | 0.52614 | 0.53406 | 0.54018 | 0.56466 |
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