Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 8.4, Problem 2P
Data taken from a stress–strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience.
| σ (ksi) | ϵ (in./in.) |
| 0 | 0 |
| 33.2 | 0.0006 |
| 45.5 | 0.0010 |
| 49.4 | 0.0014 |
| 51.5 | 0.0018 |
| 53.4 | 0.0022 |
Prob. 8–2
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience.
Data taken from a stress-strain test for a ceramic are given in the table. The curve is
linear between the origin and the first point.
Figure
σ (ksi)
0
33.2
45.5
49.4
51.5
53.4
€ (in./in.)
0
0.0006
0.0010
0.0014
0.0018
0.0022
1 of 1
Part B
Determine the modulus of elasticity.
E = ksi
Submit
Part C
Determine the modulus of resilience.
Ur=
in-lb
in³
Submit
Request Answer
Provide Feedback
Request Answer
8-2. Data taken from a stress-strain test for a ceramic are
given in the table. The curve is linear between the origin and
the first point. Plot the diagram, and determine the modulus
of elasticity and the modulus of resilience.
o (MPa) e (mm/mm)
232.4
318.5
0.0006
0.0010
345.8
0.0014
0.0018
360.5
373.8
0.0022
Chapter 8 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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
- Part B Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Determine the modulus of elasticity. VO AEO vec ? E = ksi Submit Request Answer Figure 1 of 1 Part C σ (ksi) e (in./in.) Determine the modulus of resilience. ΑΣφ ? vec 33.2 0.0006 45.5 0.0010 in-lb Up = in 49.4 0.0014 51.5 0.0018 Submit Request Answer 53.4 0.0022arrow_forward8. Solve 8..show complete STEP BY STEP solution, and draw a FBDarrow_forwardPlease don't provide handwritten solution .....arrow_forward
- Simple stress and strain pleasee helparrow_forwardThe shear stress-shear strain diagram for a material is shown. The bolt used to hold the lap joint is made of this material and has a diameter of 0.35 in. The material has a Poisson's Ratio of 0.2. T (ksi) F T1 G = Values for the figure are given in the following table. Note the figure may not be to scale. Variable T1 Y1 Value 40 ksi 0.003 rad 71 -7 (rad) a. Determine the Shear Modulus of the allow, G. b. Determine the Elastic Modulus of the allow, E. c. Determine the force required to cause the material to yield, F. Round your final answers to 3 significant digits/figures. ksiarrow_forwardthe material had a tensile stress of 67.7 ksi then was unloaded. the original length of the specimen was 5.0 inches. show the line on the diagram you would expect the material to follow as the load was released. estimate the length of the specimen after all load was removed.arrow_forward
- 1. A tension test on an aluminum plate resulted in the following engineering stress-engineering strain data as reported in the first and second column of the table below (reduction of area, RA=17%): S (psi) e (in/in) σ (psi) ε (in/in) 10500 0.001 10510.5 0.000995 21000 0.002 31200 0.003 41300 0.004 51200 0.005 61200 0.006 70600 0.007 74700 0.0075 76800 0.008 77600 0.0085 78000 0.009 78400 0.0095 78700 0.01 81200 0.02 83000 0.03 84200 0.04 85400 0.05 86200 0.06 86800 0.07 *87200 0.08 **86200 0.1 Note: * maximum load, ** load at fracture a) Calculate the corresponding true stress and true strain and give your results in a table along with the engineering stress, engineering strain shown in the of table above (column 3 and 4). b) Plot the true stress-true strain curve on a rectangular coordinate. c) Plot the true stress-true strain curve on a log-log graph and determine the plastic flow curve parameters K and n, the yield strength, Y, and the elastic modulus, E of the material.arrow_forward2) The stress-strain diagram for an alloy specimen having an original diameter of 0.5 in. and a gage length of 2 in. is shown in the figure below. TENSILE STRESS (MPA) 450 400 350 300 250 200 150 100 50 Part A 0 0 STRESS VS. STRAIN 0.002 0.004 STRAIN 0.006 Determine the modulus of resilience. Show units. Part B Determine the modulus of elasticity of the material. Part C Estimate the Yield Strength of the material. 0.008 0.01arrow_forwardProblem 2: A specimen of steel having an initial diameter of 0.503 in was tested in tension using a gauge length of 2 inches. The following data were obtained for the tension. Plot the stress strain data and determine the modulus of elasticity, and the yield strength of the material. Elastic State Load P Ibf Elongation in 1 000 0.0004 2 000 0.0006 3 000 0.0010 4 000 0.0013 7 000 0.0023 8 400 0.0028 8 800 0.0036 9 200 0.0089arrow_forward
- 2) The elastic portion of the tension stress-strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gauge length of 50 mm and a diameter of 12.5 mm. When the applied load is 45 KN, the new diameter of the specimen is 12.48375 mm. Compute the shear modulus (Gal) for the aluminum. σ (MPa) 500 71 0.00614 € (mm/mm)arrow_forward8-11. A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a force of 2.5 kN. When the force is increased from 2.5 kN to 9 kN, the specimen elongates 0.225 mm. Determine the modulus of elasticity for the material if it remains linear elastic. a (MPa) 31.50 26.25 21.00 15.75 10.50 625 N 5.25 « (mm/mm) 0.05 010arrow_forwardThe stress-strain diagram for a steel alloy having an original diameter of 0.7 in. and a gage length of 4 in. is shown in (Eigure 1). The specimen is loaded until it is stressed to 70 ksi. Figure (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.05 0.12 016 020 024 028 0 000050001 DEBES 000200 Determine the approximate amount of elastic recovery. Express your answer in inches to three significant figures. IVE ΑΣΦ. It Ivec Amount of Elastic recovery => Submit Part B Determine the increase in the gage length after it is unloaded. Express your answer in inches to three significant figures. VAX Request Answer Permanent elongation=arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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
Relationship Between Elastic Constants and Connecting Equations; Author: Engineers Academy;https://www.youtube.com/watch?v=whW5PnM7Pug;License: Standard Youtube License