Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 17.14, Problem 34AAP
To determine
Find the values of the coefficients C, a, b and modulus of elasticity from the given stress-strain data.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
6. State your answers to the following questions.Strain Gauge represents the deformation of a material through a change in resistance. If so, explain how temperature will affect the strain gauge in the experimental environment.①:In this experiment, the Strain Gauge measures the strain in micro units. Explain one possible error factor when applying a load by hanging a weight on the material with the strain gauge attached. (Hint: It is easy to shake by hanging the weight using a thread)①:
Question 2
In designing prosthetic sockets, the latter will need to be experimentally tested for their
structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of
carbon fibre composite. Strain gauges are installed to record the strains at various locations of
the legs during walking and the readings are recorded using a telemetry system to detemine
the critical stressed area. At a particular strain gauge location indicated in Figure 2, the
readings recorded by one of the 45° strain gauge rosettes are:
Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10*
Using Mohr's Cicle or otherwise, detemine:
(a) the principal strains and the direction of the maximum principal strain relative to
the gauge "a".
(b) the corresponding principal stresses and sketch the results on a properly oriented
element.
You may assume that the prosthetic socket is made of polypropylene whose Young's
modulus of 1.0 GPa and Poisson ratio of 0.3.
Figure 2
1. A tensile test was conducted on a metal "505" specimen and the following stress-strain curves
were generated, both curves generated from the same set of data. Use the graphs to fill in the
mechanical properties of the material tested in the box below. Don't forget units!
Stress vs Strain
Stress, psi
Stress, psi
80000
70000
60000
50000
40000
30000
20000
10000
0
0.00
80000
70000
60000
50000
40000
30000
20000
10000
0.02
0
0.000 0.002
0.04
0.004
0.06
0.006
0.08
0.10
Strain
Stress vs Strain
0.008
0.12
Elastic Modulus, E:
0.2% Offset Yield Strength, oo:
Tensile Strength, ou:
Breaking Strength, of:
% Elongation:
0.14
0.010 0.012 0.014
Strain
0.16
0.18
0.016 0.018
0.20
0.020
Chapter 17 Solutions
Foundations of Materials Science and Engineering
Ch. 17.14 - Explain the difference between a biomaterial and...Ch. 17.14 - Explain why bone may be classified as a composite...Ch. 17.14 - Prob. 3KCPCh. 17.14 - Prob. 4KCPCh. 17.14 - Prob. 5KCPCh. 17.14 - What is stress shielding? How can it be avoided?Ch. 17.14 - Prob. 7KCPCh. 17.14 - What properties of biopolymers make them suitable...Ch. 17.14 - Prob. 9KCPCh. 17.14 - Prob. 10KCP
Ch. 17.14 - Prob. 11KCPCh. 17.14 - Prob. 12KCPCh. 17.14 - Prob. 13KCPCh. 17.14 - Prob. 14KCPCh. 17.14 - Prob. 15KCPCh. 17.14 - Prob. 16KCPCh. 17.14 - Prob. 17KCPCh. 17.14 - Prob. 18KCPCh. 17.14 - Prob. 19KCPCh. 17.14 - Prob. 20KCPCh. 17.14 - Prob. 21KCPCh. 17.14 - Prob. 22KCPCh. 17.14 - Prob. 23KCPCh. 17.14 - Prob. 24KCPCh. 17.14 - Prob. 25KCPCh. 17.14 - Prob. 26KCPCh. 17.14 - What is tissue engineering? What is the principle...Ch. 17.14 - Prob. 28KCPCh. 17.14 - Prob. 29KCPCh. 17.14 - Prob. 30AAPCh. 17.14 - Prob. 32AAPCh. 17.14 - Prob. 33AAPCh. 17.14 - Prob. 34AAPCh. 17.14 - Prob. 39SEPCh. 17.14 - Prob. 40SEPCh. 17.14 - Prob. 41SEPCh. 17.14 - Prob. 42SEPCh. 17.14 - Prob. 43SEPCh. 17.14 - Prob. 44SEPCh. 17.14 - A bone has fractured along an inclined plane as...Ch. 17.14 - Prob. 46SEPCh. 17.14 - Prob. 47SEPCh. 17.14 - Prob. 48SEPCh. 17.14 - Prob. 49SEPCh. 17.14 - What role does the water content play in the...Ch. 17.14 - Prob. 51SEPCh. 17.14 - Prob. 52SEPCh. 17.14 - When you wake up in the morning, you are taller...Ch. 17.14 - Prob. 54SEPCh. 17.14 - Prob. 55SEP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The following data were recorded during the tensile test of a test specimen with a diameter of 12.8 mm. The gage length is 50.8 mm. The given data are as follow; Given: Test specimen material: Aluminum Diameter of test specimen: Do = 12.8 mm Length of test specimen: Lo = 50.8 mm Force and Elongation data for test specimen Assumptions: 1. The given data is accurate and the material is isotropic 2. The direction of applied force is parallel to the length of the cylinder Requirement: To interpret and plot the stress Vs Strain curve for a given specimen DATA: LENGTH, mm STRESS, MPa LOAD, N 0 50.8 7 330 50.851 15 100 50.902 23 100 50.952 30 400 51.003 34 400 51.054 38 400 51.308 41 300 51.816 44 800 52.832 46 200 53.848 47 300 54.864 47 500 55.88 36 100 56.896 44 800 57.658 42 600 58.42 36 400 59.182 STRAINarrow_forwardThe following data was obtained as a result of tensile testing of a standard 0.505 inch diameter test specimen of magnesium. After fracture, the gage length is 2.245 inch and the diameter is 0.466 inch. a). Calculate the engineering stress and strain values to fill in the blank boxes and plot the data. Load(lb) Gage Length (in) Stress (kpsi) Strain 0 2 1000 2.00154 2000 2.00308 3000 2.00462 4000 2.00615 5000 2.00769 5500 2.014 6000 2.05 6200 (max) 2.13 6000 (fracture) 2.255 b). Calculate the modulus of elasticity c). If another identical sample of the same material is pulled only to 6000 pounds and is unloaded from there, determine the gage length of the sample after unloading.arrow_forwardForce P and length change AL data are given in table below for the initial portion of a tension test on 7075-T651 Al alloy. The diameter before testing was 9.07 mm., and the gage length Linitial for t length change measurement was 50.8 mm. What tension force is required to cause yielding in a bar of the same material but with a diameter of 20 mm? P, kN AL mm 7.22 0.0839 14.34 0.1636 21.06 26.8 31.7 34.1 35.0 0.241 0.308 0.380 0.484 0.614 36.0 0.924 36.5 1.279 36.9 37.2 1.622 1.994arrow_forward
- The following data were collected from a 12 mm diameter test specimen of Magnesium. LOAD (N) 0 5000 10000 15000 20000 25000 26500 27000 26500 25000 GAUEGE LENGTH (mm) 30.000 30.0296 30.0592 30.0888 30.15 30.51 30.90 31.50 (maximum load) 32.10 32.79 (fracture) After the fracture, the gauge length is 32.61 mm and the diameter is 11.74 mm. a) What is the elastic modulus? b) Percent elongation at fracture? c) Percent elongation after fracture? d) What is the Poisson's ratio? e)Draw the engineering stress-strain diagram corresponding to the values in the table. Call this plot I. Now consider this experiment is repeated at a higher temperature with an identical sample. Draw the new engineering stress-strain diagram, call it plot Il and highlight the differences (on the same graph) between I and II.arrow_forward7. The following data were collected from a 20-mm diameter test specimen of a ductile cast iron (lo = 40.00 mm). After fracture, the total length was 47.42 mm and the diameter was 18.35 mm. Load Al (N) (mm) 0.0000 25,000 0.0185 50,000 75,000 90,000 105,000 120,000 131,000 0.0370 0.0555 0.20 0.60 1.56 4.00 (maximum load) 7.52 (fracture) 125,000 a) Plot the data as engineering stress versus engineering strain. 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. g) Compute from the data and plot true stress versus true strain diagram.arrow_forwardA tension test specimen had a gauge length of 2.5 in. After the test, the gauge length had increased to 6.5203 in. What is the uncertainty in the percentage elongation calculation of the specimen, if a caliper having an uncertainty of 0.001 in was used for measuring the length?arrow_forward
- 1. Plot the engineering stress & strain diagram of an alloy having a tensile test result found in Table 1. The tensile test specimen has a diameter of 12.5mm and a gage length of 50.0mm. The given alloy is used to make a 30.0mm diameter cylinder, which is placed inside a hardened circular steel casement with a 30.01mm inner diameter. Table 1: Tensile test results of an alloy Change In Length (mm) Change In Diameter (mm) Load (kN) 0.000 0.0000 0.0000 4.364 0.0254 0.0019 -0.0057 13.092 0.0762 21.819 0.1270 0.0095 30.547 32.729 0.1778 0.7620 34.911 3.0480 30.01 mm O F Rigid Plate Cylindrical Alloy -Steel casement Figure k Section view of the steel casement encapsulating the cylindrical alloy 2. Determine the required minimum value of F such that the cylindrical alloy would touch the walls of the steel casement.arrow_forwardA test specimen data made of polyvinyl chloride with 10.16-mm-diameter were collected (l. = 50.80 mm) and shown in Table 1. After fracture, the total length was extended to 53.08 mm and the diameter was 9.98 mm. Load (kN) Al (mm) 0 0.00 1.35 0.19 2.65 0.40 4.00 0.60 5.35 0.81 6.65 1.17 7.35 1.78 (maximum load) 7.10 2.39 6.30 3.05 (fracture) Table 1: The results of the tensile test for polyvinyl chloride. Plot the engineering stress-strain curve (list the stress and strain value in a Table) and evaluate: (i) (ii) the 0.2% offset yield strength; the modulus of elasticity; (iii) the percentage of reduction in area; (iv) the engineering stress at fracture; (v) the modulus of resilience.arrow_forwardYou have been given the following test sample data following mechanical testing of 15 test pieces of a modified Alumina. What is the Weibull modulus of this material? Would you advise the use of this material over one with a Weibull Modulus of 19.6 and a mean failure stress of 270 MPa, if you anticipate that the peak stress on the material could be 255 MPa? Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Select one or more: a. 185 b. No Yes □d. 49 □e. 28.6 3.7 Failure Stress (MPa) 297 293 270 300 g. 22.8 260 296 265 295 280 288 263 290 298 275arrow_forward
- Load (N) Al (mm) 0.0000 0.0296 0.0592 5,000 10,000 15,000 20,000 25,000 26,500 27,000 26,500 25,000 0.0888 0.15 0.51 0.90 1.50 (maximum load) 2.10 2.79 (fracture) Pull test result data in Table 1. Obtained from the tensile testing of an ingredient. Specimen diameter A (A=11.75 mm), with gauge length = 30.00 mm. After breaking, the gauge length becomes 32.61 mm and the diameter is broken B (B=11.51 mm). From the data of the tensile test results: a. Plot the stress curve of the engineering strain from the test. b. Determine the modulus of elasticity of the material. c. Calculate the strain that occurs, if the material is loaded with a force of 7158 (N). What defromation happened?arrow_forward"A carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 8 psi, and synthetic fiber B has tensile strength that is 75 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber specimen B by 4."arrow_forwardSelect one or more: a. 28.6 Ob. 22.8 O c. 3.7 Od. No Oe. 4.9 Of. Yes 0 8 9 10 11 12 13 14 15 g. 18.5 295 293 280 288 263 290 298 275arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY