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 1.22QP
Figure P1.22 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?
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The figure shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to havea. a strain of 0.001?b. a strain of 0.004?
On the diagram, what is point 1?
PROBLEM 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
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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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- Can I get a step by step walkthrough?arrow_forwardAn elastoplastic material with strain hardening has the stress–strain relationship shown in Figure 1.6(c). The modulus of elasticity is 175 GPa, yield strength is 480 MPa, and the slope of the strain-hardening portion of the stress–strain diagramis 20.7 GPa.a. Calculate the strain that corresponds to a stress of 550 MPa.b. If the 550-MPa stress is removed, calculate the permanent strain.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? do = 15 GPa de 410 MPа E = 200 GPa FIGURE P1.18arrow_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_forwardAccording to the stress – strain curve for a ductile material: A- what is the yield strength? B- What is the ultimate strength? C- Explain with supplemental figure.arrow_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
- 2. 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_forward1.22 Figure P1.22 shows (i) elastic-perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have: O 60.000 psi E 30 x 10 psi Figure P1.22 a. a strain of 0.001? b. a strain of 0.004? (0) do de = 2 × 10° psiarrow_forwardtwo decimal placesarrow_forward
- 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_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_forwardA machine component is subjected to a load of P = 3,800 N. Which stress element represents the state of stress at point H? 25 mm 3,800 N 18 mm 50 mm 5 mm 12 mm 5 mmarrow_forward
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