Pearson eText for Materials for Civil and Construction Engineers -- Instant Access (Pearson+)
4th Edition
ISBN: 9780137505586
Author: Michael Mamlouk, John Zaniewski
Publisher: PEARSON+
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 4.20QP
A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to tension. Determine the magnitude of the load required to produce a 10−4 in. change in diameter if the deformation is entirely elastic. Assume a Young’s modulus of 11 × 106 psi and a Poisson’s ratio of 0.33.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
4.20 A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten-
sion. Determine the magnitude of the load required to produce a 10 in.
change in diameter if the deformation is entirely elastic. Assume a Young's
modulus of 11 X 106 psi and a Poisson's ratio of 0.33.
30.
An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod
is subjected to a tensile load of 5kN. Assume that the material is in the elastic region
and E=69 GPa If Poisson's Ratio is 0.33, what will be the lateral strain?
E=68 v=-e(lateral) e(axial)
3. The distribution of stress in an aluminum machine component is given (in megapascals) by
Ox = y + z?
Oy = x + z
Oz = 3x + y
Txy = 3z2
Tyz = x Txz =
%3D
Calculate the state of strain at a point positioned at (1,2,4). Use E=70 GPa and v = 0.3
Chapter 4 Solutions
Pearson eText for Materials for Civil and Construction Engineers -- Instant Access (Pearson+)
Ch. 4 - Name the two primary factors that make aluminum an...Ch. 4 - Prob. 4.2QPCh. 4 - An aluminum alloy specimen with a radius of 0.28...Ch. 4 - An aluminum alloy bar with a radius of 7 mm was...Ch. 4 - Decode the characteristics of a 6063 T831...Ch. 4 - A round aluminum alloy bar with a 0.6 in. diameter...Ch. 4 - An aluminum alloy bar with a rectangular cross...Ch. 4 - A round aluminum alloy bar with a 0.25-in....Ch. 4 - An aluminum alloy rod has a circular cross section...Ch. 4 - An aluminum alloy cylinder with a diameter of 3...
Ch. 4 - A 3003-H14 aluminum alloy rod with 0.5 in....Ch. 4 - The stressstrain relation of an aluminum alloy bar...Ch. 4 - An aluminum specimen originally 300 mm long is...Ch. 4 - A tension stress of 40 ksi was applied on a 12-in....Ch. 4 - A tension test was performed on an aluminum alloy...Ch. 4 - In Problem 4.15, plot the stressstrain...Ch. 4 - Referring to Figure 4.5, determine approximate...Ch. 4 - Prob. 4.18QPCh. 4 - A tensile stress is applied along the long axis of...Ch. 4 - A cylindrical aluminum alloy rod with a 0.5 in....Ch. 4 - Prob. 4.21QPCh. 4 - Discuss galvanic corrosion of aluminum. How can...
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_forwardAn aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?arrow_forwardA cylindrical steel alloy rod with a 0.5 in. diameter is subjected to tension.Determine the magnitude of the load required to produce a 10-4 in. change in diameter if the deformation is entirely elastic. Assume a Young’s modulus of 30 * 106 psi and a Poisson’s ratio of 0.27.arrow_forward
- An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 780 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 104 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 10 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 ✓ a M d₁ B L N.m A Answer: M = d₂ b₁arrow_forwardA square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O-P'-Q'-R' as shown in figure (not to scale). Under the given deformation the edges of the plate remain straight. 10 mm y4 R'. Q' 10 mm R Q 10 mm P 20 mm The horizontal displacement of the point (0.5 m, 0.5 mm) in the plate O-P-Q-R (in mm, round off to one decimal place) isarrow_forwardA bar of length 2.0m is made of a structural steel having the stress-strain diagram shown in the figure. The yield stress of the steel is 250 MPa and the slope of the initial linear part of the stress-strain curve (modulus of elasticity) is 200GPa. The bar is loadded axially until it elongates 6.5mm, and then the load is removed. How does the final length of the bar compare with its original length? (Hint: Use the concepts illustrated in figure below)arrow_forward
- A cylindrical aluminum alloy rod with a 0.5 in. diameter is subjected to ten- sion. Determine the magnitude of the load required to produce a 10-4 in. change in diameter if the deformation is entirely elastic. Assume a Young’s modulus of 11 * 106 psi and a Poisson’s ratio of 0.33.arrow_forwardAn extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 840 mm. The cross-sectional dimensions of the beam are b1 = 30 mm, d1 = 108 mm, b2 = 18 mm, d2 = 18 mm, and a = 6 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a M. d2 d1 | A Вarrow_forwardAn extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 740 mm. The cross-sectional dimensions of the beam are b1= 35 mm, d1= 101 mm, b2 = 21 mm, d2 21 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 13 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. %3D b2 M. d2 di 14 L. b1 Answer: N-m M = %3Darrow_forward
- An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 900 mm. The cross-sectional dimensions of the beam are b1 = 31 mm, d1 = 119 mm, b2 = 19 mm, d2 = 19 mm, and a = 6 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 10 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a M d2 |A В b1 Answer: M = i N-marrow_forwardStrain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)arrow_forwardA bronze rod is rigidly attached between an aluminum rod and a steel rod as shown in the figure below. Axial loads are applied at the positions indicated. a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in bronze of 100 MPa, or in aluminum of 90 MPa. b) Determine the deformation of the bronze rod if the value of P is 22.50 KN. The moduli of elasticity are 200 GPa for steel, 80 GPa for bronze and 70 GPa for aluminum.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage LearningSteel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning
Steel Design (Activate Learning with these NEW ti...
Civil Engineering
ISBN:9781337094740
Author:Segui, William T.
Publisher:Cengage Learning
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
The History of Iron and Steel; Author: Real Engineering;https://www.youtube.com/watch?v=7E__zqy6xcw;License: Standard Youtube License