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 1.54QP

During calibration of an LVDT, the data shown in Table P1.54 were obtained. Using a spreadsheet program, plot the relation between the micrometer reading and voltage. What is the linear range of the LVDT? Determine the calibration factor of the LVDT by obtaining the best fit line of the data within the linear range.

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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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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

- Referring to the dial gauge shown in Figure P1.44, determine a. Accuracy b. Sensitivity c. Range, given that the small pointer moves one division for each full turn of the large pointer d. Which of the preceding items can be improved through calibration? e. For measuring devices, which of the following two statements is always true? 19 0 18 17 Bai 16 15 -14 13 002 mm 12 11 10 FIGURE P1.44 (i) Accuracy cannot exceed sensitivity (ii) Sensitivity cannot exceed accuracy 6.
*arrow_forward*A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad EB = 275 μrad Ec = 325 prad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. b 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. I X*arrow_forward*The assembly shown in the figure consists of an aluminum tube AB and a steel rod BC. The rod is attached to the tube through the rigid collar at B and passes through the tube. The cross-sectional area of the rod is 75 mm2 and the cross-sectional area of the tube is 400 + UV in mm2, where UV is 99. A tensile load of 80 kN is applied to the rod. Take Est = 200 GPa for the steel rod, Eal = 70 GPa for the aluminum tube. Determine: (a) the displacement of end C with respect to end B (i.e., the elongation of the steel rod), (b) the displacement of end B with respect to the fixed end A (i.e., the shrink of the aluminum tube), (c) the displacement of the end C of the rod (i.e., (a) + (b)).*arrow_forward* - A Charpy V Notch (CVN) test was performed on a steel specimen and produced the following readings: Toughness (m· N) Temperature (°C) - 40 6.8 1 9.5 38 38.0 77 89.5 116 107 154 108 Plot the toughness-versus-temperature relation, and determine the temperature transition zone between ductile and brittle behavior.
*arrow_forward*16.5° 0.151z mm -Deformed Undeformed 0.15 mm 0.1995mm 15.3° 0.2 mm An initially rectangular element of a material is deformed into the shape shown in the figure. Find ex, ey, andy, for the element.*arrow_forward*In a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below. Determine the modulus of elasticity for this material: ____x106 lb/in2. Pay attention to units and calculate your answer to 1 decimal place for the unit specified above.*arrow_forward* - During the design of a building the deflection of a beam is calculated to be 0.90 inch. In order to limit the maximum deflection of the beam to 0.75 inch, how should the design be changed? A. Substitute a beam having a plastic modulus 20 percent greater B. Substitute a beam having a moment of inertia 20 percent greater C. Substitute a beam having a moment of inertia 15 percent greater D. Substitute a beam having a yield point 20 percent greater
*arrow_forward*1-A thin aluminum plate profile shown in the accompanying figure is subjected to an axial load. deflection and the average normal stresses along the plate using the model shown in the figure. The plate has a thickness of 0.5 cm and a modulus of Approximate the 2 cm 2 cm elasticity E=70 GPa 2 cm 2 сm 3000 N б ст 6 cm 10 cm 2 cm 2 cm*arrow_forward*7:50 ul LTE O A docs.google.com Choose the correct answer * During the tensile test, experiment on a sample of mild steel, data represented in the figure below was obtained with an initial diameter (do) of 0.505 inch. At failure, the reduced diameter (d) of the sample was 0.305 inch. Gauge Length (Lo) is 2 inches and final Gauge Length (L,) is 2.625 inches. Answer the questions below: Us 70 Tk LyP IR 50- FL PL ptiel linit AL or 6T P EL lastie lii UP per yied paint Lypi Lewer s us t uni mated streagth IR: Indicatul siregh Rupture TR True strugth Ruple fPL (propartimal timt) Direct strain & to to E strmin Cin/in) a b 1. Mild steel is: (a) brittle materials (b) ductile material (c) between the ductile and the brittle 2. Young's Modulus evaluates elasticity within the region from: (а) 0 - Proportional Limit. (b) Proportional Limit - Lower yield Point. (c) Lower*arrow_forward* - The 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*3. An aluminum material element experiences a state of plane stress with the magnitudes and directions of the stress components given in the figure. Please calculate the change in volume per unit volume this material element would experience when subjected to the stress state given in the image below and a temperature increase of 80°C. (Note that the dotted horizontal line and 15 degree angle are irrelevant to this problem). Aluminum Properties: Thermal Coefficient of Expansion = 24 x 10-6 mm/mm/°C, Elastic Modulus = 69 GPa, Poisson Ratio = 0.35 250 MPa 60 MPa 15° 150 MPa*arrow_forward*A 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_forward*

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