Using an expanded strain scale, plot the stress-strain diagram for small strains using the data in Problem 1.31 and determine the modulus of elasticity E, the yield strength σYS for an offset of 0.2%, the proportional limit σPL, and the modulus of resilience.
Problem 1.31
A steel tensile test specimen has a diameter of 10 mm and a gage length of 50 mm. Test data for axial load and corresponding data for the gage-length elongation are listed in Table Convert these data to engineering stress-strain data and determine the magnitudes of the toughness UF and the ultimate strength σu.
TABLE P1.31
Load (kN) | Elongation (mm) |
0 | 0 |
3.1 | 0.01 |
6.2 | 0.02 |
9.3 | 0.03 |
12.4 | 0.04 |
15.5 | 0.05 |
18.6 | 0.06 |
21.7 | 0.07 |
24.7 | 0.08 |
25.8 | 0.09 |
26.1 | 0.10 |
29.2 | 0.15 |
31.0 | 0.20 |
34.0 | 0.30 |
36.3 | 0.40 |
38.8 | 0.50 |
41.2 | 0.60 |
44.1 | 1.25 |
48.1 | 2.50 |
50.4 | 3.75 |
51.4 | 5.00 |
52.0 | 6.25 |
52.2 | 7.50 |
52.0 | 8.75 |
50.6 | 10.00 |
45.1 | 11.25 |
43.2 | 11.66 |
— | — |
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