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
Textbook Question
Chapter 3, Problem 3.31QP
A 19-mm reinforcing steel bar and a gauge length of 75 mm was subjected to tension, with the results shown in Table P3.31. Using a computer spreadsheet program, plot the stress-strain relationship. From the graph, determine the Young's modulus of the steel and the deformation corresponding to a 150-kN load.
TABLE P3.31
Load, kN | Deformation, mm |
0 | 0 |
53.49 | 0.084 |
162.45 | 0.168 |
283.63 | 0.336 |
329.72 | 1.428 |
366.36 | 3.360 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 19-mm reinforcing steel bar and a gauge length of 75 mm was subjected to tension, with the results shown in Table Using a computer spreadsheet program, plot the stress–strain relationship. From the graph, determine the Young’s modulus of the steel and the deformation corresponding to a 150-kN load.
The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross-section of 0.2 in.? in area and a gage length (the length over which the elongation is measured) of 2.000 inches.
a. Generate a table of stress and strain values.
b. Plot these values and draw a best-fit line to obtain a stress-strain curve.
c. Determine the modulus of elasticity from the slope of the linear portion of the curve.
d. Estimate the value of the proportional limit.
e. Use the 0.2% offset method to determine the yield stress.
The information in the photo attached shows elastic properties of a human tibula bone. If you were to take a small cuboidal cross section of the tibula bone and apply the ultimate shear stress, what would be the resulting strain?
(a) 1.0 %
(b) 6.7 %
(c) 10 %
(d) 15 %
(e) None of the above.
Chapter 3 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 3 - What is the chemical composition of steel? What is...Ch. 3 - Why does the ironcarbon phase diagram go only to...Ch. 3 - Draw a simple ironcarbon phase diagram showing the...Ch. 3 - What is the typical maximum percent of carbon in...Ch. 3 - Calculate the amounts and compositions of phases...Ch. 3 - Briefly discuss four heat treatment methods to...Ch. 3 - Define alloy steels. Explain why alloys are added...Ch. 3 - Prob. 3.8QPCh. 3 - Specifically state the shape and size of the...Ch. 3 - What are the typical uses of structural steel?
Ch. 3 - What is the range of thicknesses of cold-formed...Ch. 3 - Why is coil steel used for cold-formed steel...Ch. 3 - If a steel with a 33 ksi yield strength is used...Ch. 3 - Why is reinforcing steel used in concrete? Discuss...Ch. 3 - What is high-performance steel? State two HPS...Ch. 3 - Name three mechanical tests used to measure...Ch. 3 - The following laboratory tests are performed on...Ch. 3 - Sketch the stress-strain behavior of steel, and...Ch. 3 - Three steel bars with a diameter of 25 mm and...Ch. 3 - Three steel bars with a diameter of 0.5 in. and...Ch. 3 - Draw a typical stressstrain relationship for steel...Ch. 3 - Getting measurements from Figure 3.18, determine...Ch. 3 - A steel specimen is tested in tension. The...Ch. 3 - A steel specimen is tested in tension. The...Ch. 3 - A No. 10 steel rebar is tested in tension. By...Ch. 3 - A mild steel specimen originally 300 mm long is...Ch. 3 - A tension stress of 70 ksi was applied on a 12-in....Ch. 3 - A tensile stress is applied along the long axis of...Ch. 3 - A cylindrical steel alloy rod with a 0.5 in....Ch. 3 - A round steel alloy bar with a diameter of 0.75...Ch. 3 - A 19-mm reinforcing steel bar and a gauge length...Ch. 3 - Testing a round steel alloy bar with a diameter of...Ch. 3 - During the tension test on a steel rod within the...Ch. 3 - A grade 36 round steel bar with a diameter of 0.5...Ch. 3 - A high-yield-strength alloy steel bar with a...Ch. 3 - Estimate the cross-sectional area of a 350S125-27...Ch. 3 - An ASTM A615 grade 60 number 10 rebar with a gauge...Ch. 3 - A 32-mm rebar with a gauge length of 200 mm was...Ch. 3 - A steel pipe having a length of 3 ft. an outside...Ch. 3 - A steel pipe having a length of 1 m, an outside...Ch. 3 - A drill rod with a diameter of 10 mm is made of...Ch. 3 - A drill rod with, a diameter of 1/2 in. is made of...Ch. 3 - Prob. 3.43QPCh. 3 - An engineering technician performed a tension test...Ch. 3 - A Charpy V Notch (CVN) test was performed on a...Ch. 3 - Prob. 3.46QPCh. 3 - Prob. 3.47QPCh. 3 - How can the flaws in steel and welds be detected?...Ch. 3 - Determine the welding zone classification of A36...Ch. 3 - Briefly define steel corrosion. What are the four...Ch. 3 - Discuss the main methods used to protect steel...
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
- The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.arrow_forwardA tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.arrow_forwardA tensile test was performed on a metal specimen having a circular cross section with a diameter of 1 2 inch. The gage length (the length over which the elongation is measured) is 2 inches. For a load 13.5 kips, the elongation was 4.6610 3 inches. If the load is assumed to be within the linear elastic rang: of the material, determine the modulus of elasticity.arrow_forward
- A tensile test was performed on a metal specimen having a circular cross section with a diameter of 0.510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are shown in Table 1.1.a. Prepare a table of stress and strainb. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them.c. Determine the modulus of elasticity as the slope of the best-fit lineLoad (Ib)Strain × 106 (in./in.)0025037.150070.31000129.11500230.12000259.42500372.43000457.73500586.5arrow_forwardWhat change in volume would a 100 mm cube of steel suffer at a depth of 5 km in sea water? Take E=2.05 x 10 5N/mm2 and N = 0.82 x 10 5N/mm2arrow_forwardThe strain rosette shown in the figure was used to obtain the following normal strain data on a piece of aluminum. The plate has a modulus of elasticity of 10,000 ksi and a Poisson’s Ratio of 0.35. The strain readings were εa = 600 με, εb = 900 με, and εc = 120 με. Note: 1 με = 1 X 10-6 in/in. a) Calculate the normal strain in the x- and y- directions (εx and εy) and the shear strain (γxy) using a system of equations. b) Calculate the normal stress σx in ksi. Clearly indicate Tension (T) or Compression (C). Note: even though the normal stress in the z-direction is zero, but the normal strain in the z-direction is NOT zero. [Ans. to Check σx = 7.18 ksi (T)] c) Calculate the normal stress σy in ksi. Clearly indicate Tension (T) or Compression (C). d) Calculate the shear stress τxy in ksi.arrow_forward
- A 20-ft wrought iron bar that is ½ inch in diameter is subjected to a tensile force of 3 kips. Determine the a) stress in psi, b) elongation of the bar in inches, and c) strain. The modulus of elasticity of wrought iron E = 29 x 103 ksi.arrow_forwardOn the stress-strain diagram of a steel bar, show and explain the following: proportional limit, yield stress, ultimate stress, yield strain, and modulus of elasticity.arrow_forwardA steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).arrow_forward
- Calculate the plane stresses involved where two pieces of steel are welded together. Our sign convention defines forces causing the object to be in tension positive and forces causing the object to be in compression negative. As we can see from the picture our σx = −4.5MPa and σy = 10MPa. Steel has an average Young’s modulus of elasticity of E = 200 GPa and an average Poisson’s ratio of ν = .285 Because it is not defined we will assume that initially there is no shear stress, τxy = 0. Solve only for: Compression in the x-direction(deformation along the weld)=(-Blank 4)? x 10^-5arrow_forwardA tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure. 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 62 ksi.e. Tangent modulus at a stress of 65 ksi.arrow_forwardA cylindrical specimen of stainless steel having an initial diameter of 12.8?? and initial length of 50.8?? is pulled in tension. Use the data provided below to a) Plot the data as engineering stress versus engineering strain using excel or similar software. b) Compute the modulus of elasticity. c) Determine the yield strength at a strain offset of 0.002. d) Determine the tensile strength of this alloy. e) What is the approximate ductility, in percent elongation? f) Compute the modulus of resilience. Load (?) Length (??) 0 50.800 12,700 50.825 25,400 50.851 38,100 50.876 50,800 50.902 76,200 50.952 89,100 51.003 92,700 51.054 102,500 51.181 107,800 51.308 119,400 51.562 128,300 51.816 149,700 52.832 159,000 53.848 160,400 54.356 159,500 54.864 151,500 55.880 124,700 56.642 Fracturearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage LearningMaterials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning
Steel Design (Activate Learning with these NEW ti...
Civil Engineering
ISBN:9781337094740
Author:Segui, William T.
Publisher:Cengage Learning
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY