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 3, Problem 3.38QP
A 32-mm rebar with a gauge length of 200 mm was subjected to tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P3.38.
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 rebar is loaded to 390 kN only and then unloaded, what is the permanent change in length?
TABLE P3.38
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A 32-mm rebar with a gauge length of 200 mm was subjected to tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in TableUsing 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 rebar is loaded to 390 kN only and then unloaded, what is the permanent change in length?
A 32-mm rebar with a gauge length of 200 mm was subjected to tension to
fracture according to ASTM E-8 method. The load and deformation data were
as shown in Table P3.33.
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 rebar is loaded to 390 kN only and then unloaded, what is the
permanent change in length?
TABLE P3.3 3
Load (kN)
Displacement (mm)
Load (kN)
Displacement (mm)
472.9
8.4
62.2
0.1
487.1
9.7
188.9
0.2
496.4
11.1
329.8
0.4
505.7
12.4
383.4
1.7
512.8
13.7
426.0
4.0
522.6
15.3
447.3
5.9
532.4
18.5
462.5
7.2
525.9
22.4
Question No.1 : A 32-mm rebar with a gauge length of 200 mm was subjected to tension to fracture
according to ASTM E-8 method. The load and deformation data were as shown in table below.
Using calculations and diagram 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. Modulus of resilience and toughness.
g. If the rebar is loaded to 390 kN only and then unloaded, what is the
permanent change in length?
Load (kN)
Displacement (mm)
Load (kN)
Displacement (mm)
472.9
8.4
62.2
0.1
487.1
9.7
188.9
0.2
496.4
11.1
329.8
0.4
505.7
12.4
383.4
1.7
512.8
13.7
426.0
4.0
522.6
15.3
447.3
5.9
532.4
18.5
462.5
7.2
525.9
22.4
Chapter 3 Solutions
Materials for Civil and Construction Engineers (4th Edition)
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