Concept explainers
(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 |
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
(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 |
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
(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 |
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
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