2. A steel bar with a gauge length of 8 inch and a cross section that has a width of 1 inch and a thickness of 1 inch was tested in tension to rupture according to ASTM E-8 method. The stress-strain diagram is shown below. Determine the following (show your work on the stress-strain diagram): 16 points
(a) modulus elasticity,
(b)proportional limit,
(c) yield stress (use 0.2% stain method),
(d) ultimate strength,
(e) permanent change in length if the specimen is loaded to 30 kips only and then unloaded,
(f) permanent change in length if the specimen is loaded to 65 kips only and then unloaded.
Stress (ksi)
90
60
30
0.002
0.006
0.01
0.012
Strain (in/in)