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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Chapter 4, Problem 4.3QP
An aluminum alloy specimen with a radius of 0.28 in. was subjected to tension until fracture and produced results shown in Table P4.3.
a. Using a spreadsheet program, plot the stress–strain relationship.
b. Calculate the modulus of elasticity of the aluminum alloy.
TABLE P4.3
| Stress, ksi | Strain, 10−3 in./in. |
| 0 | 0.0 |
| 8 | 0.6 |
| 17 | 1.5 |
| 27 | 2.4 |
| 35 | 3.2 |
| 43 | 4.0 |
| 50 | 4.6 |
| 58 | 5.2 |
| 62 | 5.8 |
| 64 | 6.2 |
| 65 | 6.5 |
| 67 | 7.3 |
| 68 | 8.1 |
| 9.7 |
c. Determine the proportional limit.
d. What is the maximum load if the stress in the bar is not to exceed the proportional limit?
e. Determine the 0.2% offset yield strength.
f. Determine the tensile strength.
g. Determine the percent of elongation at failure.
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S Figure P1.16 shows the stress-strain relations of metals A and B during ten-
sion tests until fracture. Determine the following for the two metals (show all
calculations and units):
a. Proportional limit
b. Yield stress at an offset strain of 0.002 m/m.
c. Ultimate strength
d. Modulus of resilience
e. Toughness
f. Which metal is more ductile? Why?
900
Metal A
600
Metal B
300
0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14
Strain, m/m
FIGURE P1.16
Stress, MPa
A round steel alloy bar with a diameter of 19 mm and a gauge length of 76 mm
was subjected to tension, with the results shown in Table P3.26. Using a
computer spreadsheet program, plot the stress-strain relationship. From the
graph, determine the Young's modulus of the steel alloy and the deformation
corresponding to a 37 kN load.
TABLE P3.26
Deformation,
Load, kN
mm
9
0.0286
18
0.0572
27
0.0859
36
0.1145
45
0.1431
54
0.1718
An aluminum alloy bar with a radius of 7 mm was subjected to tension until fracture and produced results shown in Table P4.3. a. Using a spreadsheet program, plot the stress–strain relationship. b. Calculate the modulus of elasticity of the aluminum alloy. c. Determine the proportional limit. d. What is the maximum load if the stress in the bar is not to exceed the proportional limit? e. Determine the 0.2% offset yield strength. f. Determine the tensile strength. g. Determine the percent of elongation at failure.
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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