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 1.10QP
On a graph, show the stress–strain relationship under loading and unloading for the following two materials:
a. nonlinear elastic material
b. elastoplastic material with strain hardening
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On a graph, show the stress–strain relationship under loading and unloading for the following two materials:a. nonlinear elastic materialb. elastoplastic material with strain hardening
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) Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled in tension.
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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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- Onagraph, show the stress–strain relationship under loading and unloading for the following two materials: a. nonlinear elastic material b. elastoplastic material with strain hardeningarrow_forwardFigure P1.18 shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have: a. a strain of 0.001? b. a strain of 0.004?arrow_forwardFind the poisson's ratio for a given material if the modulus of elasticity is 100 GN/m2 and it's modulus of elasticity in shear is 40 GPa.arrow_forward
- 2. Given that a steel cylinder of dimensions 12.0 mm in diameter and 70 mm long is subjected to tension.(a) Determine the modulus of elasticity in the figure below.(b) Using the figure below, calculate the deformation in the steel cylinder subjected to 15 kN tension forcearrow_forwardGiven that a steel cylinder of dimensions 12.0 mm in diameter and 70 mm long is subjected totension.(a) Determine the modulus of elasticity in the figure below.(b) Using the figure below, calculate the deformation in the steel cylinder subjected to 15 kNtension force.arrow_forwardFigure shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have:a. a strain of 0.001?b. a strain of 0.004?arrow_forward
- A tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.arrow_forwardFigure P1.18 shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have: a strain of 0.001? a strain of 0.004?arrow_forwardSketch a stress versus strain graph for a material, such as mild steel, which exhibits linear elastic and plastic properties.arrow_forward
- A part’s maximum Von Mises stress and materials are given below. Determine for each of these conditions whether the part is safe or not. Material: Steel, Von Mises Stress: 31000 psi, Static Loading, Ultimate Strength = 80000 psi Material: Polystyrene, Von Mises Stress: 42000 psi, Static Loading, Ultimate Strength = 7500 psi Material: Aluminum, Von Mises Stress: 62000 psi, Repeated Loading, Ultimate Strength = 30000 psi Please clearly show all calculations and reasoning in your computation.arrow_forwardWhat is the shear modulus of the material whose shear stress–strain relationship is shown in Figure ? Solve the problem usinga. SI unitsb. U.S. customary unitsarrow_forwardAn elastoplastic material with strain hardening has the stress-strain relation shown in the figure. The yield point corresponds to 600 MPa stress and 0.003 m/m strain.Determine the following:a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain?b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)?c. After strain hardening, if the material is subjected to a stress of 625 MPa, how much strain is obtained? Is this strain elastic, permanent, or a combination of both?arrow_forward
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