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 1, Problem 1.50QP
Briefly discuss the concept behind each of the following measuring devices:
a. LVDT
b. strain gauge
c. proving ring
d. load cell
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A cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table to answer the following: a. Plot the data as engineering stress versus engineering strain. b. Compute the modulus of elasticity. 66 c. Determine the yield strength at a strain offset of 0.002. d. Determine the tensile strength of this alloy. e. What is the approximate ductility, in percent elongation? f. Compute the modulus of resilience
A tensile test was performed on a metal specimen having a circular cross section with a diameter of 0.510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are shown in Table 1.1.a. Prepare a table of stress and strainb. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them.c. Determine the modulus of elasticity as the slope of the best-fit lineLoad (Ib)Strain × 106 (in./in.)0025037.150070.31000129.11500230.12000259.42500372.43000457.73500586.5
1.5-7
The data shown in the table were obtained from a tensile test of a metal specimen with
a rectangular cross section of 0.2 in.² in area and a gage length (the length over which
the elongation is measured) of 2.000 inches.
a. Generate a table of stress and strain values.
b. Plot these values and draw a best-fit line to obtain a stress-strain curve.
c. Determine the modulus of elasticity from the slope of the linear portion of the curve.
Load
(kips)
0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
50
6.0
6.5
Elongation × 10³
(in.)
0
0.160
0.352
0.706
1.012
1.434
1.712
1.986
2.286
2.612
2.938
3.274
3.632
3.976
Load
(kips)
7.0
7.5
8.0
8.5
9.0
9.5
10.0
10.5
11.0
11.5
12.0
12.5
13
Elongation × 10³
(in.)
4.386
4.640
4.988
5.432
5.862
6.362
7.304
8.072
9.044
11.310
14.120
20.044
29.106
Chapter 1 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 1 - State three examples of a static load application...Ch. 1 - A material has the stressstrain behavior shown in...Ch. 1 - A tensile load of 50.000 lb is applied to a metal...Ch. 1 - A tensile load of 190 kN is applied to a round...Ch. 1 - A cylinder with a 6.0 in. diameter and 12.0 in....Ch. 1 - A metal rod with 0.5 inch diameter is subjected to...Ch. 1 - A rectangular block of aluminum 30 mm 60 mm 90...Ch. 1 - A plastic cube with a 4 in. 4 in. 4 in. is...Ch. 1 - A material has a stressstrain relationship that...Ch. 1 - On a graph, show the stressstrain relationship...
Ch. 1 - The rectangular block shown in Figure P1.11 is...Ch. 1 - The rectangular metal block shown in Figure P1.11...Ch. 1 - A cylindrical rod with a length of 380 mm and a...Ch. 1 - A cylindrical rod with a radius of 0.3 in. and a...Ch. 1 - A cylindrical rod with a diameter of 15.24 mm and...Ch. 1 - The stressstrain relationship shown in Figure...Ch. 1 - A tension test performed on a metal specimen to...Ch. 1 - An alloy has a yield strength of 41 ksi, a tensile...Ch. 1 - Prob. 1.21QPCh. 1 - Figure P1.22 shows (i) elasticperfectly plastic...Ch. 1 - An elastoplastic material with strain hardening...Ch. 1 - A brace alloy rod having a cross sectional area of...Ch. 1 - A brass alloy rod having a cross sectional area of...Ch. 1 - A copper rod with a diameter of 19 mm, modulus of...Ch. 1 - A copper rod with a diameter of 0.5 in., modulus...Ch. 1 - Define the following material behavior and provide...Ch. 1 - An asphalt concrete cylindrical specimen with a...Ch. 1 - What are the differences between modulus of...Ch. 1 - Prob. 1.33QPCh. 1 - A metal rod having a diameter of 10 mm is...Ch. 1 - What is the factor of safety? On what basis is its...Ch. 1 - Prob. 1.36QPCh. 1 - Prob. 1.37QPCh. 1 - A steel rod, which is free to move, has a length...Ch. 1 - In Problem 1.38, if the rod is snugly fitted...Ch. 1 - A 4-m-long steel plate with a rectangular cross...Ch. 1 - Estimate the tensile strength required to prevent...Ch. 1 - Prob. 1.42QPCh. 1 - Briefly discuss the variability of construction...Ch. 1 - In order to evaluate the properties of a material,...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - Prob. 1.47QPCh. 1 - Prob. 1.48QPCh. 1 - Prob. 1.49QPCh. 1 - Briefly discuss the concept behind each of the...Ch. 1 - Referring to the dial gauge shown in Figure P1.51,...Ch. 1 - Repeat Problem 1.51 using the dial gauge shown in...Ch. 1 - Measurements should be reported to the nearest...Ch. 1 - During calibration of an LVDT, the data shown in...Ch. 1 - During calibration of an LVDT, the data shown in...
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- On the diagram, what is point 1?arrow_forwardA round steel alloy bar with a diameter of 0.75 in. and a gauge length of 3.0 in. was subjected to tension, with the results shown in Table 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 8,225-lb load.arrow_forwardA round steel bar with a diameter of 12mm and a gauge length of 0.5 mm was subjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data were as shown in Table. Using a spreadsheet program obtain the following: A plot of the stress–strain relationship. Label the axes and show units. A plot of the linear portion of the stress–strain relationship. Determine modulus of elasticity using the best fit approach. Proportional limit. Yield stress. Ultimate strength. When the applied load was 18kN, the diameter was measured as12.7mm Determine Poisson’s ratio. 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? Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why?arrow_forward
- 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_forwardI need the answer as soon as possiblearrow_forwardCan I get a step by step walkthrough?arrow_forward
- Answer all the questionsarrow_forward2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answerarrow_forwardI need the answer as soon as possiblearrow_forward
- 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…arrow_forwardA high-yield-strength alloy steel bar with a rectangular cross section that has a width of 37.5 mm, a thickness of 6.25 mm, and a gauge length of 203 mm was tested in tension to rupture, according to ASTM E-8 method. The load and deformation data were as shown in 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 using the best-fit approach.c. Proportional limit.d. Yield stress.e. Ultimate strength.f. If the specimen is loaded to 155 kN only and then unloaded, what is the permanent deformation?g. In designing a typical structure made of this material, would you expect the stress applied in (f) safe? Why?arrow_forwardIn the tensile stress-strain curve below, label the following: elastic stage, plastic stage, necking stage, ultimate tensile strength, fracture point.please write detailsarrow_forward
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