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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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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- An 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_forwardThe figure shown an elasto-plastic material with tensile strain hardening stress-strain relation. The modulus of elasticity is 25000000 psi, yield strength is 70 ksi, and the slope of the strain-hardening portion of the stress-strain diagram is 3000000 psi. A. Calculate the elastic and the plastic strain when unloading occurs at 90 ksi B. Calculate the stress value and state whether it is tension or compression at zero Strain? Strainarrow_forwardVolumetric Strain Question 5: The principal stresses at a point in an elastic material are 60 N/mm² tensile, 20 N/mm² tensile and 50 N/mm² compressive. What is the volumetric strain by considering Young's Modulus as 100 x 103 N/mm² and μ = 0.3?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 in./in. c. Yield stress at an extension strain of 0.005 in/in. d. Secant modulus at a stress of 525MPA.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. a strain of 0.001? b. a strain of 0.004?arrow_forward6.What is elastic deformation? Plot the load-deformation curve for an elastic material schematically under loading and unloading on the graph below.arrow_forward
- An elastoplastic material with strain hardening has the stress–strain relationship shown in Figure . The modulus of elasticity is 25 * 106 psi, yield strength is 70 ksi, and the slope of the strain-hardening portion of the stress–strain diagram is 3 * 106 psi.a. Calculate the strain that corresponds to a stress of 80 ksi.b. If the 80-ksi stress is removed, calculate the permanent strain.arrow_forwardWhich of these elastic moduli describes the ratio between volumetric stress and volumetric strain?a. Young’s Modulusb. Shear Modulusc. Bulk Modulusd. Poisson’s Ratioarrow_forwardA round steel alloy bar with a diameter of 19 mm and a gauge length of 76 mm was subjected to tension, with the results shown in Table P3.26. Using a computer spreadsheet program, plot the stress-strain relationship. From the graph, determine the Young's modulus of the steel alloy and the deformation corresponding to a 37 kN load. TABLE P3.26 Deformation, Load, kN mm 9 0.0286 18 0.0572 27 0.0859 36 0.1145 45 0.1431 54 0.1718arrow_forward
- Determine the modulus of Elasticity E for a material that has proportional stress of 100 MPa and proportional strain of 0.001. Select one: a. 1 GPa b. 100 GPa C. 0.1 MPa d. 1000 kPaarrow_forwardSketch a stress versus strain graph for a material, such as mild steel, which exhibits linear elastic and plastic properties.arrow_forward1. An elastoplastic material with strain hardening has the stress strain relationship shown below. The yield point is as a stress of 600 MPa and strain of 0.003 mm/mm. a. If a bar of this material was loaded to a stress of 650 MPa and then released, what would be the permanent strain? b. What would be the percent increase in yield strength gained by the strain hardening for a? c. A second load to a stress of 625 MPa is then applied. How much strain is expected? Is the deformation elastic, plastic, or a combination? Stress, MPa 11 ■ 1000 800 600 400 200 Od 0 0.02 0.04 Strain, m/m 0.06 0.08arrow_forward
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