Materials for Civil and Construction Engineers (2nd Edition)
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Chapter 4, Problem 4.7QP
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 P4.7. 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 P4.7
| Load (kN) | ∆L (mm) | Load (kN) | ∆L (mm) |
| 0 | 0 | 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 |
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Chapter 4 Solutions
Materials for Civil and Construction Engineers (2nd Edition)
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