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 1.39QP
In Problem 1.38, if the rod is snugly fitted against two immovable non-conducting walls at a temperature of 15°C and then heated uniformly to 115°C, what is its length at 115°C? If the modulus of elasticity of steel is 207 GPa, what is the stress induced in the bar? Is this stress tension or compression?
1.38 A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 × 10–6 m/m/C. Is there a stress on the rod at 115°C?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A steel bar 30 mm in diameter and 2 m long is encased in a shell
of cast iron 5 mm thick. Compute the stress in each material, in
MPa, if a compressive axial load of 150 kN is applied to the
assembly. For steel, E = 200 MPa and for cast iron, E = 100
%3D
GPa (
Select the correct response(s):
29.96 MPa
76.39 MPa
212.21 MPa
106.10 MPa
136.32 MPa
152.79 MPa
59.92 MPa
272.84 MPa
A symmetrical framework consisting of three pin-connected bars is loaded by a forceP (see figure). The angle between the inclined bars and the horizontal is a = 52°. Theaxial strain in the middle bar is measured as 0.036.Determine the tensile stress in the outer bars if they are constructed of a copper alloyhaving the following stress-strain relationship:
Q.3: A steel rod with a cross sectional area of 150 mm² is stretched
between two fixed points. The tensile load at 20°C is 5000 N. a)
What will be the stress at -20°C. b) At what temperature will the
stress be zero? Assume a-11.7 μm/m . °C and E= 200 GPa?
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...
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
- 2. Given a 5 mm diameter steel wire, which is 4 meters long, carries an axial tensile load P. Find the maximum safe value of P if the deformation of the wire is limited to 5.5 mm and the allowable normal stress of the wire is 280 MPa. Use 200 000 MPa for the modulus of elasticity of steel.arrow_forwardA steel rod having a cross-sectional area of 0.002 sq. m. and length of 1.5 m. is attached to unyielding supports. If the temperature falls 60 degrees Celsius, the modulus of elasticity of steel is 200 x 109 N/m2, and the coefficient of linear expansion is 11.5 x 10–6 per degree Celsius, finda. the deformation due to the temperature drop in mm, andb. the force exerted by the rods on the supports in kN..arrow_forward) Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled in tension. (a) Determine its elongation when a load of 20,000 N is applied. (b) What is the modulus of elasticity? (c) What is the strength at a strain offset of 0.002? (d) What is the tensile strength?arrow_forward
- A steel rod Is stretched two rigid walls and carries a tensile load of 6000 N to 20°C. Coefficient of thermal expansion a = 11.7 x 10-5 /C and modulus of elastičity 200000 MPa. 7. Which of the following gives the minimum diameter of the rod if the allowable stress is not to exceed 140 MPa at -25°C. a. 15 mm C. 16 mm b. 17 mm d. 18 mm 8. Which of the following gives the total elongation of the steel rod if it has a length of 1.5m. a. 1.00 mm С. 1.02 mm b. 1.04 mm d. 1.06 mm 9. Which of the following gives the strain of the steel rod. a. 0.00067 b. 0.00071 C. 0.00069 d. 0.00073arrow_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_forwardQ1arrow_forward
- Homework #6 Problem 1. A steel alloy core is bonded firmly to the copper tube to form the shaft shown. The materials have the shear stress-strain diagrams are shown in the figure. a) If the total applied torque is 15 kN.m, determine the torque resisted by the core and tube. b) What is the maximum elastic torque that can be applied to the shaft? What is the corresponding maximum shear strain in the shaft? c) What is the maximum torque that one can apply to the shaft? 100 m 60 mm +(MPa) 180 450 mm 15 KN-m 0.0024 (MPa) Steel Alloy 36 0.002 Copper Alloy (rad) y (rad)arrow_forwardPROBLEM 1 A steel rod with a cross sectional area of 150 mm? is stretched between two fixed points. The tensile load at 20°C is 5000 N. a.) What will be the stress at -20°C? b.) At what temperature will the stress be zero? Assume a = 11 .7 µm/m°C, and E = 200 Gpa *Show geometry of deformation ©sidewararrow_forwardi need the answer quickly, Please answer all demands.arrow_forward
- A 20-foot-long W8 x 67 is suspended from one end. If the modulus of elasticity is 29,000 ksi. Determine the following: a) what is the maximum tesile stress, b) What is the maximum normal strainarrow_forwardIf a bronze model railroad track is 26 in. long and the ends are restrained from moving when the temperature rises 40 °F, what is the stress that results? (Look up the coefficient of thermal expansion and modulus of elasticity.)arrow_forwardVol. Strain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning
How Cast Iron Pans Are Made — How to Make It; Author: Eater;https://www.youtube.com/watch?v=aIBt0uFwjY8;License: Standard Youtube License