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 4.4QP

An aluminum alloy bar with a radius of 7 mm was subjected to tension until  fracture and produced results shown in Table P4.4.

TABLE P4.4

Stress, MPa Strain, 10−3 m/m Stress, MPa Strain, 10−3 m/m
0 0.0 399.9 5.2
55.2 0.6 427.5 5.8
117.2 1.5 441.3 6.2
186.2 2.4 448.2 6.5
241.3 3.2 462.0 7.3
296.5 4.0 468.9 8.1
344.8 4.6 482.7 9.7

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.

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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
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