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Which point on the stress strain curve occurs after proportionality limit?
- a)Upper yield point
- b)Lower yield point
- c)Elastic limit
- d)Ultimate point
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which point on the stress strain curve occurs after proportionality li...
A stress-strain curve represents the relationship between the stress applied to a material and the resulting strain (deformation) experienced by the material. The curve can be divided into several regions, each corresponding to a different behavior of the material under stress.
1. Proportionality limit: This is the region where the stress-strain curve is linear, and the material follows Hooke's Law, which states that the stress is proportional to the strain. In this region, the material will return to its original shape and size when the stress is removed.
2. Elastic limit: This is the point on the stress-strain curve immediately after the proportionality limit. Up to the elastic limit, the material will still return to its original shape and size when the stress is removed, but the relationship between stress and strain is no longer linear. Beyond the elastic limit, the material will enter the plastic region, where it will experience permanent deformation even when the stress is removed.
3. Lower yield point: This is the point on the stress-strain curve where the material starts to yield or undergo plastic deformation. The material will not return to its original shape and size when the stress is removed at this point.
4. Upper yield point: This is the point on the stress-strain curve where the material has reached its maximum resistance to plastic deformation. Beyond this point, the material will continue to deform with little or no increase in stress.
5. Ultimate point: This is the point on the stress-strain curve where the material experiences its maximum stress before failure. Beyond this point, the material will begin to fracture and eventually break under the applied stress.
Since the elastic limit occurs immediately after the proportionality limit, it is the correct answer.
1. Proportionality limit: This is the region where the stress-strain curve is linear, and the material follows Hooke's Law, which states that the stress is proportional to the strain. In this region, the material will return to its original shape and size when the stress is removed.
2. Elastic limit: This is the point on the stress-strain curve immediately after the proportionality limit. Up to the elastic limit, the material will still return to its original shape and size when the stress is removed, but the relationship between stress and strain is no longer linear. Beyond the elastic limit, the material will enter the plastic region, where it will experience permanent deformation even when the stress is removed.
3. Lower yield point: This is the point on the stress-strain curve where the material starts to yield or undergo plastic deformation. The material will not return to its original shape and size when the stress is removed at this point.
4. Upper yield point: This is the point on the stress-strain curve where the material has reached its maximum resistance to plastic deformation. Beyond this point, the material will continue to deform with little or no increase in stress.
5. Ultimate point: This is the point on the stress-strain curve where the material experiences its maximum stress before failure. Beyond this point, the material will begin to fracture and eventually break under the applied stress.
Since the elastic limit occurs immediately after the proportionality limit, it is the correct answer.
Most Upvoted Answer
Which point on the stress strain curve occurs after proportionality li...
The stress-strain curve is a graphical representation of the relationship between stress (force per unit area) and strain (deformation) of a material. It is an important tool for understanding the mechanical properties of materials.
After the proportionality limit, the material no longer behaves in a linear manner, and the stress-strain curve begins to show some distinct characteristics.
The correct answer to the question is option 'C', which refers to the upper yield point.
Explanation:
Proportionality limit:
The proportionality limit is the point on the stress-strain curve where the linear relationship between stress and strain ends. Before this point, the material follows Hooke's Law, which states that stress is directly proportional to strain. The proportionality limit is also referred to as the elastic limit.
Elastic limit:
The elastic limit is the maximum stress that a material can withstand without undergoing permanent deformation. If the stress exceeds the elastic limit, the material will undergo plastic deformation, which means that it will not return to its original shape after the stress is removed.
Lower yield point:
The lower yield point is the point on the stress-strain curve where the material starts to deform plastically. It represents the stress at which the material begins to yield or deform permanently.
Upper yield point:
The upper yield point is the point on the stress-strain curve where the material experiences a sudden drop in stress and strain. This is due to the formation of necks in the material, which reduces its cross-sectional area and increases its stress concentration. The material becomes weaker at this point, and further deformation requires less stress.
Ultimate point:
The ultimate point is the point on the stress-strain curve where the material reaches its maximum strength. Beyond this point, the material begins to fail and eventually breaks.
In summary, after the proportionality limit, the stress-strain curve shows several distinct points, including the elastic limit, lower yield point, upper yield point, and ultimate point. The correct answer to the question is option 'C', which refers to the upper yield point.
After the proportionality limit, the material no longer behaves in a linear manner, and the stress-strain curve begins to show some distinct characteristics.
The correct answer to the question is option 'C', which refers to the upper yield point.
Explanation:
Proportionality limit:
The proportionality limit is the point on the stress-strain curve where the linear relationship between stress and strain ends. Before this point, the material follows Hooke's Law, which states that stress is directly proportional to strain. The proportionality limit is also referred to as the elastic limit.
Elastic limit:
The elastic limit is the maximum stress that a material can withstand without undergoing permanent deformation. If the stress exceeds the elastic limit, the material will undergo plastic deformation, which means that it will not return to its original shape after the stress is removed.
Lower yield point:
The lower yield point is the point on the stress-strain curve where the material starts to deform plastically. It represents the stress at which the material begins to yield or deform permanently.
Upper yield point:
The upper yield point is the point on the stress-strain curve where the material experiences a sudden drop in stress and strain. This is due to the formation of necks in the material, which reduces its cross-sectional area and increases its stress concentration. The material becomes weaker at this point, and further deformation requires less stress.
Ultimate point:
The ultimate point is the point on the stress-strain curve where the material reaches its maximum strength. Beyond this point, the material begins to fail and eventually breaks.
In summary, after the proportionality limit, the stress-strain curve shows several distinct points, including the elastic limit, lower yield point, upper yield point, and ultimate point. The correct answer to the question is option 'C', which refers to the upper yield point.
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Which point on the stress strain curve occurs after proportionality li...
Stress Strain Curve and Yield Point
Stress strain curve is a graphical representation of the relationship between the stress applied to a material and the resulting strain. It is used to determine the mechanical properties of a material such as its strength, ductility, and toughness. The proportionality limit is the point on the curve where the relationship between stress and strain becomes nonlinear. It is also known as the elastic limit.
Yield point is the point on the stress strain curve where the material begins to deform plastically. Plastic deformation is the permanent deformation of a material that occurs when a stress is applied beyond the elastic limit. The yield point is also known as the yield strength.
Lower and Upper Yield Point
The yield point can be further divided into the lower yield point and upper yield point. The lower yield point is the point on the curve where the material begins to exhibit plastic deformation. The upper yield point is the point on the curve where the material begins to exhibit strain hardening. Strain hardening is the increase in strength and hardness of a material as it is deformed.
Ultimate Point
The ultimate point is the point on the stress strain curve where the material starts to neck or reduce in cross-sectional area. The necking occurs due to the concentration of stress at a particular point. The ultimate point is also known as the ultimate strength or tensile strength.
Conclusion
In conclusion, the point on the stress strain curve that occurs after the proportionality limit is the upper yield point. It is the point where the material begins to exhibit strain hardening. It is an important point in determining the mechanical properties of a material.
Stress strain curve is a graphical representation of the relationship between the stress applied to a material and the resulting strain. It is used to determine the mechanical properties of a material such as its strength, ductility, and toughness. The proportionality limit is the point on the curve where the relationship between stress and strain becomes nonlinear. It is also known as the elastic limit.
Yield point is the point on the stress strain curve where the material begins to deform plastically. Plastic deformation is the permanent deformation of a material that occurs when a stress is applied beyond the elastic limit. The yield point is also known as the yield strength.
Lower and Upper Yield Point
The yield point can be further divided into the lower yield point and upper yield point. The lower yield point is the point on the curve where the material begins to exhibit plastic deformation. The upper yield point is the point on the curve where the material begins to exhibit strain hardening. Strain hardening is the increase in strength and hardness of a material as it is deformed.
Ultimate Point
The ultimate point is the point on the stress strain curve where the material starts to neck or reduce in cross-sectional area. The necking occurs due to the concentration of stress at a particular point. The ultimate point is also known as the ultimate strength or tensile strength.
Conclusion
In conclusion, the point on the stress strain curve that occurs after the proportionality limit is the upper yield point. It is the point where the material begins to exhibit strain hardening. It is an important point in determining the mechanical properties of a material.
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