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The loading and unloading response of a metal is shown in figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, are
- a)0.01 and 0.02
- b)0.02 and 0.02
- c)0.02 and 0.01
- d)0.01 and 0.01
Correct answer is option 'C'. Can you explain this answer?
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The loading and unloading response of a metal is shown in figure. The ...
Question:
The loading and unloading response of a metal is shown in the figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, are:
a) 0.01 and 0.02
b) 0.02 and 0.02
c) 0.02 and 0.01
d) 0.01 and 0.01
Answer:
To determine the elastic and plastic strains corresponding to a stress of 200 MPa, we need to analyze the stress-strain curve shown in the figure.
Stress-Strain Curve Analysis:
The stress-strain curve consists of two distinct regions: the elastic region and the plastic region.
Elastic Region:
In the elastic region, the material behaves elastically, which means it returns to its original shape after the load is removed. The slope of the stress-strain curve in this region represents the Young's modulus of the material.
Plastic Region:
In the plastic region, the material undergoes permanent deformation. The stress-strain curve becomes nonlinear, indicating that the material is undergoing plastic deformation. The plastic strain is the amount of permanent deformation experienced by the material.
Determining Elastic and Plastic Strains:
To determine the elastic and plastic strains corresponding to a stress of 200 MPa, we need to locate this stress value on the stress-strain curve.
1. Locate the stress value of 200 MPa on the vertical axis of the stress-strain curve.
2. Draw a horizontal line from this point until it intersects the stress-strain curve.
3. From the intersection point, draw vertical lines to the x-axis to determine the corresponding strains.
Analysis of the Stress-Strain Curve:
Based on the stress-strain curve shown in the figure, we can determine the elastic and plastic strains corresponding to 200 MPa stress.
4. The elastic strain corresponding to 200 MPa stress is approximately 0.02.
5. The plastic strain corresponding to 200 MPa stress is approximately 0.01.
Conclusion:
Therefore, the correct answer is option C) 0.02 and 0.01, which corresponds to the elastic and plastic strains, respectively, at 200 MPa stress.
The loading and unloading response of a metal is shown in the figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, are:
a) 0.01 and 0.02
b) 0.02 and 0.02
c) 0.02 and 0.01
d) 0.01 and 0.01
Answer:
To determine the elastic and plastic strains corresponding to a stress of 200 MPa, we need to analyze the stress-strain curve shown in the figure.
Stress-Strain Curve Analysis:
The stress-strain curve consists of two distinct regions: the elastic region and the plastic region.
Elastic Region:
In the elastic region, the material behaves elastically, which means it returns to its original shape after the load is removed. The slope of the stress-strain curve in this region represents the Young's modulus of the material.
Plastic Region:
In the plastic region, the material undergoes permanent deformation. The stress-strain curve becomes nonlinear, indicating that the material is undergoing plastic deformation. The plastic strain is the amount of permanent deformation experienced by the material.
Determining Elastic and Plastic Strains:
To determine the elastic and plastic strains corresponding to a stress of 200 MPa, we need to locate this stress value on the stress-strain curve.
1. Locate the stress value of 200 MPa on the vertical axis of the stress-strain curve.
2. Draw a horizontal line from this point until it intersects the stress-strain curve.
3. From the intersection point, draw vertical lines to the x-axis to determine the corresponding strains.
Analysis of the Stress-Strain Curve:
Based on the stress-strain curve shown in the figure, we can determine the elastic and plastic strains corresponding to 200 MPa stress.
4. The elastic strain corresponding to 200 MPa stress is approximately 0.02.
5. The plastic strain corresponding to 200 MPa stress is approximately 0.01.
Conclusion:
Therefore, the correct answer is option C) 0.02 and 0.01, which corresponds to the elastic and plastic strains, respectively, at 200 MPa stress.
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Community Answer
The loading and unloading response of a metal is shown in figure. The ...
Plastic/Permanent strain = OB = 0.01
Elastic strain = BC = 0.03 – 0.01 = 0.02
Hence, the correct option is (C).
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The loading and unloading response of a metal is shown in figure. The elastic and plastic strains corresponding to 200 MPa stress, respectively, area)0.01 and 0.02b)0.02 and 0.02c)0.02 and 0.01d)0.01 and 0.01Correct answer is option 'C'. Can you explain this answer?
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