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 1.43QP
Briefly discuss the variability of construction materials. Define the terms accuracy and precision when tests on materials are performed.
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Define the termsaccuracy and precision when tests on materials are performed.
A wood specimen was prepared with actual dimensions of 25 mm * 25 mm *
150 mm and grain parallel to its length. Displacement was measured over a
100 mm gauge length. The specimen was subjected to compression parallel to
the grain to failure. The load-deformation results are as shown in Table P10.24.
TABLE P10.23
Deflection
Load (N)
(10 3 mm)
445
709
890
1412
1335
2113
1779
2825
2224
3556
2669
4234
3114
4935
3559
5644
4003
6353
4448
6995
4893
7996
5338
9131
5783
10287
6228
11902 (failure)
TABLE P10.2 4
Load (N)
Displacement (mm)
31
0.30
45
1.73
387
4.17
2358
4.57
7584
5.28
12740
5.99
16859
6.81
20489
7.62
23745
8.23
22757
9.14
19875
9.75
19265
10.5
a. Using a computer spreadsheet program, plot the stress-strain relationship.
b. Calculate the modulus of elasticity.
c. What is the failure stress?
The (G-E) diagram obtained in the tensile test performed on a metal sample with a
diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured
on l. 16 cm gauge length were determined as follows:
B
A
B
C
Load (kgf)
4800
8400
7200
Elongation (mm)
0.192
28.8
38.4
a) Calculate the proportionality limit, modulus of elasticity, tensile strength, maximum
uniform elongation, and contraction-elongation ratio of the metal.
b) Since the measured diameter of the metal at break is 12 mm, find the constriction ratio
and the actual stress at break.
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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- In a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below. Determine the modulus of elasticity for this material: ____x106 lb/in2. Pay attention to units and calculate your answer to 1 decimal place for the unit specified above.arrow_forwardTo stretch a 200 mm long tensile test specimen (a) of steel elastically by 0.08 mm. How many loads do I need to apply? (b) What is the maximum length of this sample without plastic deformation? How long can it be extended? (The modulus of elasticity of steel is 210 GPa, yield strength 580 MPa, tensile strength 920 MPa specified as.arrow_forward6.What is elastic deformation? Plot the load-deformation curve for an elastic material schematically under loading and unloading on the graph below.arrow_forward
- A tensile test specimen having a diameter of 10 mm and a gage length of 50 mm was tested to fracture. The stress-strain curve from the tension test is shown below. The lower plot is the expanded region OAB and associated with the strain values given in the lower scale. Showing your points and construction on graphs and the associated calculations, determine the following quantities. Proportional limit: _____ Rupture stress: _____ Secant modulus at stress level of 420 MPa: _____ Tangent modulus at stress level of 420 MPa: _____ Determine the plastic strain at stress level of 420 MPa: _____ If the shear modulus of the material is 55GPa, determine the Poisson’s ratio assuming the material is isotropic. _____ Determine the axial force acting on the specimen when it is extended by 0.2 mm. _____arrow_forwardA specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a force of 2.4 kN. When the force is increased from 2.4 kN to 9 kN, the specimen elongates 0.250 mm. Determine the modulus of elasticity for the material if it remains linear elastic. Express your answer to three significant figures and include the appropriate units.arrow_forwardFrom Data What is Material Ultimate Strength In Mpa. 1 Material Aluminum 2 Form Cylinder ve 3 Diameter 12.8 mm 4 Gauge Length 50.8 mm 5 Tensile Testing To Failure 6. 8 Load (N) Length (mm) 9 0 50.8 10 7330 50.851 11 15100 50.902 12 23100 50.952 13 30400 51.003 14 34400 51.054 15 38400 51.308 16 41300 51.816 17 44800 52.832 18 46200 53.848 19 47300 54.864 20 47500 55.88 21 46100 56.896 22 44800 57.658 23 42600 58.42 24 36400 59.182 25arrow_forward
- A tensile load of 150 kN is applied to a round metal bar with a diameter of 16 mm and a gage length of 80 mm. Under this load the bar elastically deforms so that the gage length increases to 80.1192 mm and the diameter decreases to 15.89 mm. Determine the modulus of elasticity (in MPa) and Poisson’s ratio for this metal.arrow_forwardA sample of aluminum is stretched by a 6 kip load. If the aluminum piece is 32 inches long, 2 in^2 in area, what is the deformation of the sample in inches? Answer to three decimal places. Type your answer...arrow_forward1.4 A tensile load of 190 kN is applied to a round metal bar with a diameter of 16 mm and a gage length of 50 mm. Under this load the bar elastically deforms so that the gage length increases to 50.1349 mm and the diameter decreases to 15.99 mm. Determine the modulus of elasticity and Poisson's ratio for this metal.arrow_forward
- 1. The following data were obtained during a tension test of an aluminum alloy. The initial diameter of the test specimen was 0.505 in. and the gage length was 2.0 in. Load (lb) 0 2 310 4 640 6 950 9 290 11 600 12 600 Elongation (in.) 0.00220 0.00440 0.00660 0.00880 0.0110 0.0150 Load (lb) 14 000 14 400 14 500 14 600 14 800 14 600 13 600 Elongation (in.) 0.020 0.025 0.060 0.080 0.100 0.120 Fracture Plot the stress-strain diagram and determine the following mechanical properties: (a) proportional limit; (b) modulus of elasticity; (c) yield point; (d) yield strength at 0.2% offset; (e) ultimate strength; and (f) rupture strength.arrow_forward22. Why is important to test the tensile strength of materials?arrow_forwardPlease answer the "required" and show full solutions with necessary diagrams. "Strength of Materials" Problemarrow_forward
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