COLLEGE PHYSICS-ACHIEVE AC (1-TERM)
3rd Edition
ISBN: 9781319453916
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 37QAP
To determine
(a)
What is the yield strength if the following data are associated with an alloy of steel, plot a graph of stress versus strain for the alloy?
| Strain (%) | Stress ( | Strain (%) | Stress ( |
| 0 | 0 | 1 | 300 |
| 0.1 | 125 | 1.5 | 325 |
| 0.2 | 250 | 2 | 350 |
| 0.3 | 230 | 2.5 | 375 |
| 0.4 | 230 | 3 | 400 |
| 0.5 | 235 | 3.5 | 375 |
| 0.6 | 240 | 4 | 350 |
| 0.7 | 250 | 4.5 | 325 |
| 0.8 | 260 | 5 | 300 |
| 0.9 | 270 |
Expert Solution
Answer to Problem 37QAP
The yield strength is the tensile stress at which the material becomes permanently deformed
Explanation of Solution
Calculation:
The graph is drawn and is given by
The yield strength is the tensile stress at which the material becomes permanently deformed
Conclusion:
The yield strength is the tensile stress at which the material becomes permanently deformed
To determine
(b)
The ultimate strength if the following data are associated with an alloy of steel, plot a graph of stress versus strain for the alloy?
| Strain (%) | Stress ( | Strain (%) | Stress ( |
| 0 | 0 | 1 | 300 |
| 0.1 | 125 | 1.5 | 325 |
| 0.2 | 250 | 2 | 350 |
| 0.3 | 230 | 2.5 | 375 |
| 0.4 | 230 | 3 | 400 |
| 0.5 | 235 | 3.5 | 375 |
| 0.6 | 240 | 4 | 350 |
| 0.7 | 250 | 4.5 | 325 |
| 0.8 | 260 | 5 | 300 |
| 0.9 | 270 |
Expert Solution
Answer to Problem 37QAP
The ultimate strength is the maximum tensile stress the material can withstand
Explanation of Solution
Calculation:
The graph is drawn and is given by
The ultimate strength is the maximum tensile stress the material can withstand
Conclusion:
The ultimate strength is the maximum tensile stress the material can withstand
To determine
(c)
Young's modulus for the material if the following data are associated with an alloy of steel, plot a graph of stress versus strain for the alloy?
| Strain (%) | Stress ( | Strain (%) | Stress ( |
| 0 | 0 | 1 | 300 |
| 0.1 | 125 | 1.5 | 325 |
| 0.2 | 250 | 2 | 350 |
| 0.3 | 230 | 2.5 | 375 |
| 0.4 | 230 | 3 | 400 |
| 0.5 | 235 | 3.5 | 375 |
| 0.6 | 240 | 4 | 350 |
| 0.7 | 250 | 4.5 | 325 |
| 0.8 | 260 | 5 | 300 |
| 0.9 | 270 |
Expert Solution
Answer to Problem 37QAP
The Young's modulus is the slope of the initial linear region
Explanation of Solution
Given info:
Formula used:
Calculation:
The graph is drawn and is given by
The Young's modulus is the slope of the initial linear region
Conclusion:
The Young's modulus is the slope of the initial linear region
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Chapter 9 Solutions
COLLEGE PHYSICS-ACHIEVE AC (1-TERM)
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An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY