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 3.34QP
A grade 36 round steel bar with a diameter of 0.5 in. and a gauge length of 2 in. was subjected to tension to rupture following ASTM E-8 test procedure, The load and deformation data were as shown in Table P3.34.
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. When the applied load was 4.07 kips, the diameter was measured as 0.499905 in. Determine Poisson’s ratio.
- g. After the rod was broken, the two parts were put together and the diameter at the neck was measured as 0.416012 in. What is the true stress value at fracture? Is the true stress at fracture larger or smaller than the engineering stress at fracture? Why?
- h. Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why?
TABLE P3.34
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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 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
A round steel bar with a diameter of 12.5 mm and a gauge length of 50 mm
was subjected to tension to rupture following ASTM E-8 test procedure. The
load and deformation data were as shown in Table P3.30.
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. When the applied load was 18 kN, the diameter was measured as
12.7 mm Determine Poisson's ratio.
g. After the rod was broken, the two parts were put together and the
diameter at the neck was measured as 10.6 mm What is the true stress
value at fracture? Is the true stress at fracture larger or smaller than the
engineering stress at fracture? Why?
h. Do you expect the true strain at fracture to be larger or smaller than the
engineering strain at fracture? Why?
TABLE P3.30…
A grade 36 round steel bar with a diameter of 0.5 inches and a gauge length of 2 inches wassubjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data wereas shown in the following table:
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 usingthe best fit approach.c. Proportional limit.d. Yield stress.e. Ultimate strength.f. When the applied load was 4.07 kips, the diameter was measured as 0.499905 inches. DeterminePoisson’s ratio.g. After the rod was broken, the two parts were put back together and the diameter of at the neckwas measured as 0.416012 inches. What is the true stress value at fracture? Is the true stress atfracture larger or smaller than the engineering stress at fracture? Why?h. Do you expect the true strain at fracture to be larger or smaller than the…
Chapter 3 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 3 - What is the chemical composition of steel? What is...Ch. 3 - Why does the ironcarbon phase diagram go only to...Ch. 3 - Draw a simple ironcarbon phase diagram showing the...Ch. 3 - What is the typical maximum percent of carbon in...Ch. 3 - Calculate the amounts and compositions of phases...Ch. 3 - Briefly discuss four heat treatment methods to...Ch. 3 - Define alloy steels. Explain why alloys are added...Ch. 3 - Prob. 3.8QPCh. 3 - Specifically state the shape and size of the...Ch. 3 - What are the typical uses of structural steel?
Ch. 3 - What is the range of thicknesses of cold-formed...Ch. 3 - Why is coil steel used for cold-formed steel...Ch. 3 - If a steel with a 33 ksi yield strength is used...Ch. 3 - Why is reinforcing steel used in concrete? Discuss...Ch. 3 - What is high-performance steel? State two HPS...Ch. 3 - Name three mechanical tests used to measure...Ch. 3 - The following laboratory tests are performed on...Ch. 3 - Sketch the stress-strain behavior of steel, and...Ch. 3 - Three steel bars with a diameter of 25 mm and...Ch. 3 - Three steel bars with a diameter of 0.5 in. and...Ch. 3 - Draw a typical stressstrain relationship for steel...Ch. 3 - Getting measurements from Figure 3.18, determine...Ch. 3 - A steel specimen is tested in tension. The...Ch. 3 - A steel specimen is tested in tension. The...Ch. 3 - A No. 10 steel rebar is tested in tension. By...Ch. 3 - A mild steel specimen originally 300 mm long is...Ch. 3 - A tension stress of 70 ksi was applied on a 12-in....Ch. 3 - A tensile stress is applied along the long axis of...Ch. 3 - A cylindrical steel alloy rod with a 0.5 in....Ch. 3 - A round steel alloy bar with a diameter of 0.75...Ch. 3 - A 19-mm reinforcing steel bar and a gauge length...Ch. 3 - Testing a round steel alloy bar with a diameter of...Ch. 3 - During the tension test on a steel rod within the...Ch. 3 - A grade 36 round steel bar with a diameter of 0.5...Ch. 3 - A high-yield-strength alloy steel bar with a...Ch. 3 - Estimate the cross-sectional area of a 350S125-27...Ch. 3 - An ASTM A615 grade 60 number 10 rebar with a gauge...Ch. 3 - A 32-mm rebar with a gauge length of 200 mm was...Ch. 3 - A steel pipe having a length of 3 ft. an outside...Ch. 3 - A steel pipe having a length of 1 m, an outside...Ch. 3 - A drill rod with a diameter of 10 mm is made of...Ch. 3 - A drill rod with, a diameter of 1/2 in. is made of...Ch. 3 - Prob. 3.43QPCh. 3 - An engineering technician performed a tension test...Ch. 3 - A Charpy V Notch (CVN) test was performed on a...Ch. 3 - Prob. 3.46QPCh. 3 - Prob. 3.47QPCh. 3 - How can the flaws in steel and welds be detected?...Ch. 3 - Determine the welding zone classification of A36...Ch. 3 - Briefly define steel corrosion. What are the four...Ch. 3 - Discuss the main methods used to protect steel...
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- 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 22.4arrow_forwardA 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?arrow_forwardThree steel bars have a diameter of 25 mm and carbon contents of 0.2, 0.5, and 0.8%, respectively. The specimens were subjected to tension until rup- ture. The load versus deformation results were as shown in Table P3.19. If the gauge length is 50 mm, determine the following: a. The tensile stresses and strains for each specimen at each load increment. b. Plot stresses versus strains for all specimens on one graph. TABLE P3.19 Specimen No. Carbon Content (%) Deformation (mm) 1 2 3 0.2 0.5 0.8 Load (kN) 0.00 0.07 133 133 133 0.10 137 191 191 0.15 142 196 285 0.50 147 201 324 1.00 140 199 383 2,50 155 236 447 5.00 196 295 491 (Rupture) 7.50 226 336 10.00 241 341 12.50 218 304 (Rupture) 13.75 196 (Rupture) c. The proportional limit for each specimen. d. The 0.2% offset yield strength for each specimen. e. The modulus of elasticity for each specimen. f. The strain at rupture for each specimen. g. Comment on the effect of increasing the carbon content on the following: i. Yield strength ii.…arrow_forward
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