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
Concept explainers
Videos
Textbook Question
Chapter 1, Problem 1.38QP
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 solution
Students have asked these similar questions
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 * 10-6m/m/C. Is there a stress on the rod at 115°C?If the rod is snugly fitted against two immovable nonconducting walls at a temperature of 15°C and then heated uniformly to115°C, what is its length at 115°C? If the modulus of elasticity of steel is207 GPa, what is the stress induced in the bar? Is this stress tension or compression?
A steel rod, which is free to move, has a length of 200 mm and diameter of20 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 atthe new temperature if the linear coefficient of thermal expansion of steel is12.5 * 10-6 m/m/°C. Is there a stress on the rod at 115°C?
A 0.35-m long steel rod with a round cross-section (25 mm) is resting on a frictionless surface.The rod temperature is measured to be at 10°C. The plate is then heated uniformly to 97°C.The steel has a coefficient of thermal expansion equal to 1.1*10-5 m/m/°C.a) What is the length of expansion?b) Is there a stress on the rod?c) If the rod is snugly fitted against two immovable non-conducting walls at atemperature of 15°C and the heated uniformly to 115°C, what is its length at 115°C ifthe elastic modulus of steel is 205 GPa, what is the stress induced in the bar? Tensionor compression?
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
- A straight wire 15 m long is subjected to tensile stress of 2000 kgf/cm². Elastic modulus is 1.5x106 kgf/cm². Coefficient of linear expansion for the material is 16.66x 10-6/°F. The temperature change (in °F) to produce the same elongation as due to the 2000 kgf/cm² tensile stress in the material is:arrow_forwardA steel rod, 100 mm long is held between two rigid supports. It is heated by 20°C. If the coefficient of thermal expansion of the material of the rod is 15 x 10-6 per °C and modulus of elasticity is 200 x 10³ MN/m2, what is the stress in the rod?arrow_forwardA metal bar of length 100 mm is inserted between two rigid supports and its temperature is increased by 10°C. If the coefficient of thermal expansion is 12 x 10-6 per °C and the young's modulus is 2 x 105 MPa, the stress in the bar isarrow_forward
- Question A steel rod 15 m long is at a temperature of 15°C. The values of a = 12 x 10-6m and E = 200 GN/m² are adopted. When the temperature is raised to 65°C, what is the free expansion of the length; and if this expansion of the rod is fully prevented, what is the temperature stress produced?arrow_forward(a) Figure Q2 shows a steel bar held between two rigid supports. The bar has a cross sectional area of 0.25 m? and is 6.0 m in length. The structure is stress free before a force P = 3×106 N is applied at the point shown. Steel has a Young's modulus E = 210 GPa and its coefficient of thermal expansion is equal to a = 12 ×10-6 K-1. (i) What is the stress in the bar to the left of the applied load? (ii) What change in temperature would cause the stress on the right of the applied load to go to zero? 4.0 m 2.0 m P Figure Q2 -Constrained metal bar.arrow_forwardA 20 m long steel rod is at a temperature of 20°C. The rod is heated so that temperature rises by 50°C. If rod is allowed to expand by 14 mm, what will be the stress induced in rod? Take E = 200 GPa and a = 12 × 10-6/°C. (a) 20 MPa (c) 68 MPa (b) 35 MPa (d) None of thesearrow_forward
- A metal bar of length 100mm is inserted between two rigid supports and its temperature is increased by 10 °C. If the coefficient of thermal expansion is 12 x 10`6 per °C and the Young's modulus is 2 x 105 MPa the stress in the bar isarrow_forwardA brass wire of diameter d = 2.33 mm is stretched tightly between rigid supports so that the tensile force is T = 93 N (see figure). T The coefficient of thermal expansion for the wire is 19.5 x 106/°c, and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop (in °C) if the allowable shear stress in the wire is 60 MPa? (Enter the magnitude.) °C (b) At what temperature change (in °C) does the wire go slack? °Carrow_forwardTwo similar bars of Steel and Aluminium are heated to a same temperature. Forces are applied at the ends of the bars to maintain their lengths unaltered. If the ratio of Young's moduli of Steel and Aluminium is 3, and the ratio of the coefficients of thermal expansion of Steel to that of Aluminium is 0.5, what is the stress on the Aluminium bar if the stress on the Steel bar is 100 MPa?arrow_forward
- In shown figure the aluminum is subjected to a thermal stress where T1 is 21.957 deg. C and T2 is 87.860 deg. C. Determine the required diameter (mm) of the steel rods to limit the expansion of the aluminum just 3.238 mm if the thermal coefficient of aluminum is 24.650 x10^-6 Where: H1 = 2000.392 mm H2 = 2047.231 mm H3 = 1999.692 mm Aal = 2288 mm^2 Eal = 70.018 GPa Est = 202.930 GPaarrow_forwardDeformation.arrow_forward6 A steel pipe with a 50 mm outside diameter and a 43.75 'mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27°C. For steel, Young's modulus is 200 GN/m², and the coefficient of linear thermal expansion is 11.7x10-6 1/°C. For brass, Young's modulus is 93.33 GN/m², and the coefficient of linear thermal expansion is 1.872 x 10-5 1/°C. What is the stress in the steel tube when the temperature is raised to 121°C? brass rod (solid) 37.5 mm diameter steel tube 50 mm outside diameter 43.75 mm inside diameterarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning
Understanding Stresses in Beams; Author: The Efficient Engineer;https://www.youtube.com/watch?v=f08Y39UiC-o;License: Standard Youtube License