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 3, Problem 3.32QP
Testing a round steel alloy bar with a diameter of 15 mm and a gauge length of 250 mm produced the stress-strain relationship shown in Figure P3.32.
Determine
- a. the elastic modulus
- b. the proportional limit
- c. the yield strength at a strain offset of 0.002
- d. the tensile strength
- e. the magnitude of the load required to produce an increase in length of 0.38 mm
- f. the final deformation, if the specimen is unloaded after being strained by the amount specified in (e)
- g. In designing a typical structure made of this material, would you expect the stress applied in (e) reasonable? Why?
FIGURE P3.32
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Testing a round steel alloy bar with a diameter of 15 mm and a gauge length of
250 mm produced the stress-strain relationship shown in Figure P3.28.
Determine
a. the elastic modulus
b. the proportional limit
c. the yield strength at a strain offset of 0.002
d. the tensile strength
e. the magnitude of the load required to produce an increase in length of
0.38 mm
f. the final deformation, if the specimen is unloaded after being strained by
the amount specified in (e)
g. In designing a typical structure made of this material, would you expect
the stress applied in (e) reasonable? Why?
750
500
250
0.01
0.02
0.03
0.04
Strain, m/m
FIGURE P3.28
Stress, MPa
Testing a round steel alloy bar with a diameter of 15 mm and a gauge length of 250 mm produced the stress–strain relationship shown in Figure Determinea. the elastic modulusb. the proportional limitc. the yield strength at a strain offset of 0.002d. the tensile strengthe. the magnitude of the load required to produce an increase in length of 0.38 mmf. the final deformation, if the specimen is unloaded after being strained by the amount specified in (e)g. In designing a typical structure made of this material, would you expect the stress applied in (e) reasonable? Why?
(b) (i)
A tensile test specimen made from 0.4% C steel has a circular cross section of diameter
d mm and a gauge length of 25 mm. When a load of 4500 N is applied during the test, the
gauge length of the specimen extends to 25.02 mm.
If the Young's Modulus of the steel is 199 GPa, calculate the diameter of the
tensile test specimen used.
4
Chapter 3 Solutions
Materials for Civil and Construction Engineers (4th Edition)
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