Materials for Civil and Construction Engineers (4th Edition)
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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Please answer letters a, b, c and d. Thank you!
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
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