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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Chapter 1, Problem 1.37QP
To determine
Define coefficient of thermal expansion. State the relationship between the linear and volumetric coefficient of thermal expansion.
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Explain the concept behind thermal stress and thermal strain.
Give the formula for thermal strain and thermal stress when the expansion of the beam is totally prevented and partially prevented. Support your answer with relevant images/drawings.
A l-m long steel bar (E = 200 GPa) of 10x10mm dimension fixed at one end and the other end having a gap of 0.5 mm from the fixed wall is heated by
90°C from initially 30ºC. What is the normal stress, in MPa, induced in the system due to change in temperature? Use a = 12 x 10-“ per °C. Encode you
answer in whole number.
Round your answer to 0 decimal places.
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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- The shown circular bar is fixed to the left wall. It has a diameter of 0.5 in and length of 60 in at 50 °F when it is unloaded. There is a gap of 0.08 inches between the bar end and the right opposite wall. The bar was simultaneously loaded axially with a load P and heated such that the temperature was raised from 50 °F to 130 °F along all the bars. The bar material has a modulus of elasticity = 15 x 10° psi and coefficient of thermal expansion = 10.6x106 1/°F. Determine the maximum magnitude of the load P such that the right opposite wall remains stress free.arrow_forwardI need the answer quicklyarrow_forwardcan you help me with detailed solution pls 2. A line was measured with a steel tape which was exactly 30m at 18°C and a pull of 50N and the measured length was 459.242m. Temperature during the measurement was 28°C and the pull applied was 10ON. The tape was uniformly supported during the measurement. Find the true length of the line f the cross sectional area of the tape was 0.02cm², the coefficient of expansion per °C = 0.0000117 and the modulus of elasticity = 21 x 10° N per cm².arrow_forward
- I need the answer as soon as possiblearrow_forwardMechanics of deformable bodies. Two decimal places.arrow_forwardA cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steel bolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm. The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thickness of 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickness of t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt, washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stress has yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensile and negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.arrow_forward
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