Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1, Problem 1.3QP
A tensile load of 50.000 lb is applied to a metal bar with a 0.6 in. × 0.6 in. cross section and a gage length of 2 in. Under this load the bar elastically deforms so that the gage length increases to 2.007 in. and the cross section decreases to 0.599 in. × 0.599 in. Determine the modulus of elasticity and Poisson’s ratio for this metal.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule06:16
Students have asked these similar questions
3. The distribution of stress in an aluminum machine component is given (in megapascals) by
Ox = y + z?
Oy = x + z
Oz = 3x + y
Txy = 3z2
Tyz = x Txz =
%3D
Calculate the state of strain at a point positioned at (1,2,4). Use E=70 GPa and v = 0.3
The following figure shows the tensile stress-strain curve for a plain-carbon steel.
600
80
500
MPa
600
10 psi
60
80
400
400
60-
300
40
40
200
200
20
20
100
0.005
0.05
0.10
0.15
Strain
(a) What is this alloy's tensile strength?
MPа
(b) What is its modulus of elasticity?
GPa
(c) What is the yield strength?
i
MPa
Stress (MPa)
Stress (10 psi)
An aluminum alloy bar with a radius of 7 mm was subjected to tension until fracture and produced results shown in Table P4.3. a. Using a spreadsheet program, plot the stress–strain relationship. b. Calculate the modulus of elasticity of the aluminum alloy. c. Determine the proportional limit. d. What is the maximum load if the stress in the bar is not to exceed the proportional limit? e. Determine the 0.2% offset yield strength. f. Determine the tensile strength. g. Determine the percent of elongation at failure.
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...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
A vertical load of 20 k is applied to a area at the ground surface that is level.
a. Compute the induced verti...
Foundation Design: Principles and Practices (3rd Edition)
Explain the difference between redundancy and diversity.
Software Engineering (10th Edition)
What is the difference between a class and an object?
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
For each of the following activities, give a PEAS description of the task environment and characterize it in te...
Artificial Intelligence: A Modern Approach
What are some features of specific programming languages you know whose rationales are a mystery to you?
Concepts Of Programming Languages
Give a definition for the function with the following function declaration. The class BankAccount is defined in...
Problem Solving with C++ (9th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.arrow_forwardThe data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. 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. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.arrow_forwardThe stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded. o (ksi) 80 70 60 50 40 30 20 10 e (in./in.) 0 04 0.08 0.12 0.16 0.20 0.24 0.28 0 0005 0.0010.0015 0.002 0.0025 0.0030.0035arrow_forward
- An aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?arrow_forwardAn aluminum alloy cylinder with a diameter of 3 in. and a height of 6 in. is subjected to a compressive load of 50,000 pounds. Assume that the material is within the elastic region and a modulus of elasticity of 11 * 106 psi. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application? c. What will be the height after load application?arrow_forwardX Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.arrow_forward
- A force of 100,000 N is applied to an iron bar with a cross-sectional area of 10 mm × 20mm and having a yield strength of 400 MPa and a tensile strength of 480 MPa,Determinea. whether the bar will plastically deform; andb. whether the bar will experience neckingarrow_forwardA 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa Vxy = 0.25 Vxz = 0.5 Vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, ox,Oy,Oz•arrow_forwardAn aluminum alloy cylinder with a diameter of 76 mm and a height of150 mm. is subjected to a compressive load of 220 kN. Assume that the material is within the elastic region and a modulus of elasticity of 75 GPa.a. What will be the lateral strain if Poisson’s ratio is 0.33?b. What will be the diameter after load application?c. What will be the height after load application?arrow_forward
- S Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 900 Metal A 600 Metal B 300 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, m/m FIGURE P1.16 Stress, MPaarrow_forwardA tensile load of 50,000 lb is applied to a metal bar with a 0.6 in. by 0.6 in. cross section and a gauge length of 2 in. Under this load, the bar elastically deforms so that the gauge length increases to 2.007 in. and the cross section decreases to 0.599 in. by 0.599 in. Determine the modulus of elasticity and Poisson’s ratio for this metal *arrow_forwardTwo bars of different materials and same size are subjected to the same tensile force. If the bars have unit elongation in the ratio 2: 5, then the ratio of modulus of elasticity of the two materials will be (a) 2:5 (c) 4 :3 (b) 5:2 (d) 3:4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage LearningMaterials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning
Steel Design (Activate Learning with these NEW ti...
Civil Engineering
ISBN:9781337094740
Author:Segui, William T.
Publisher:Cengage Learning
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning
The History of Iron and Steel; Author: Real Engineering;https://www.youtube.com/watch?v=7E__zqy6xcw;License: Standard Youtube License