Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.6QP
A round aluminum alloy bar with a 0.6 in. diameter and 2 in. gauge length was subjected to tension to fracture. The load and deformation data were as shown in Table P4.6.
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. Tangent modulus at a stress of 60 ksi.
f. Secant modulus at a stress of 60 ksi.
TABLE P 4. 6
| Load (lb) | ∆L (in.) | Load (lb) | ∆L (in.) |
| 0 | 0.0000 | 15.500 | 0.0136 |
| 2000 | 0.0014 | 16.400 | 0.0168 |
| 4100 | 0.0028 | 17.300 | 0.0220 |
| 6050 | 0.0042 | 18.000 | 0.0310 |
| 8080 | 0.0055 | 18.400 | 0.0420 |
| 10100 | 0.0070 | 18.600 | 0.0528 |
| 12000 | 0.0083 | 18.800 | Fracture |
| 14000 | 0.0103 |
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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 P4.6.
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 P4.6
Load (kN)
AL (mm)
Load (kN)
AL (mm)
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
A high-yield-strength alloy steel bar with a rectangular cross section that has a width of 37.5 mm, a thickness of 6.25 mm, and a gauge length of 203 mm was tested in tension to rupture, according to ASTM E-8 method. The load and deformation data were as shown in Table 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.e. Ultimate strength.f. If the specimen is loaded to 155 kN only and then unloaded, what is the permanent deformation?g. In designing a typical structure made of this material, would you expect the stress applied in (f) safe? Why?
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.
Chapter 4 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 4 - Name the two primary factors that make aluminum an...Ch. 4 - Prob. 4.2QPCh. 4 - An aluminum alloy specimen with a radius of 0.28...Ch. 4 - An aluminum alloy bar with a radius of 7 mm was...Ch. 4 - Decode the characteristics of a 6063 T831...Ch. 4 - A round aluminum alloy bar with a 0.6 in. diameter...Ch. 4 - An aluminum alloy bar with a rectangular cross...Ch. 4 - A round aluminum alloy bar with a 0.25-in....Ch. 4 - An aluminum alloy rod has a circular cross section...Ch. 4 - An aluminum alloy cylinder with a diameter of 3...
Ch. 4 - A 3003-H14 aluminum alloy rod with 0.5 in....Ch. 4 - The stressstrain relation of an aluminum alloy bar...Ch. 4 - An aluminum specimen originally 300 mm long is...Ch. 4 - A tension stress of 40 ksi was applied on a 12-in....Ch. 4 - A tension test was performed on an aluminum alloy...Ch. 4 - In Problem 4.15, plot the stressstrain...Ch. 4 - Referring to Figure 4.5, determine approximate...Ch. 4 - Prob. 4.18QPCh. 4 - A tensile stress is applied along the long axis of...Ch. 4 - A cylindrical aluminum alloy rod with a 0.5 in....Ch. 4 - Prob. 4.21QPCh. 4 - Discuss galvanic corrosion of aluminum. How can...
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