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Questions and Answers
What is the relationship between stress and strain according to Hooke's law?
What is the relationship between stress and strain according to Hooke's law?
- They are inversely proportional
- Stress is always greater than strain
- They are proportional to each other (correct)
- They are unrelated
What is the term used for the proportionality constant in Hooke's law?
What is the term used for the proportionality constant in Hooke's law?
- Strain factor
- Modulus of elasticity (correct)
- Stress constant
- Coefficient of deformation
Is Hooke's law applicable to all materials?
Is Hooke's law applicable to all materials?
- Yes, it is universally applicable
- Only for metals
- No, some materials do not exhibit the linear relationship (correct)
- It is applicable only at high temperatures
According to Hooke's law, stress and strain are not proportional to each other for small deformations.
According to Hooke's law, stress and strain are not proportional to each other for small deformations.
The proportionality constant in Hooke's law is known as the modulus of elasticity.
The proportionality constant in Hooke's law is known as the modulus of elasticity.
Hooke's law is found to be valid for all materials, regardless of their properties.
Hooke's law is found to be valid for all materials, regardless of their properties.
According to Hooke's law, stress and strain are ______ to each other for small deformations.
According to Hooke's law, stress and strain are ______ to each other for small deformations.
Hooke’s law is an ______ law and is found to be valid for most materials.
Hooke’s law is an ______ law and is found to be valid for most materials.
The proportionality constant in Hooke's law is known as modulus of ______.
The proportionality constant in Hooke's law is known as modulus of ______.
Explain Hooke's law and provide an example of a material that does not exhibit a linear relationship between stress and strain according to this law.
Explain Hooke's law and provide an example of a material that does not exhibit a linear relationship between stress and strain according to this law.
Discuss the significance of Hooke's law in the study of material properties and mechanical behavior.
Discuss the significance of Hooke's law in the study of material properties and mechanical behavior.
What are the limitations of Hooke's law and under what conditions would it not be applicable for a material?
What are the limitations of Hooke's law and under what conditions would it not be applicable for a material?
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Study Notes
Hooke's Law
- Hooke's law states that stress and strain are directly proportional to each other for small deformations.
- The proportionality constant in Hooke's law is known as the modulus of elasticity.
Applicability of Hooke's Law
- Hooke's law is not applicable to all materials, but rather to most materials.
- The law is valid only for small deformations, and not for large deformations or when the material undergoes plastic deformation.
Limitations of Hooke's Law
- Hooke's law is not applicable when the material exhibits non-linear behavior, such as rubber or plastic.
- The law is also not applicable when the material undergoes permanent deformation or when the stress-strain curve is not linear.
Significance of Hooke's Law
- Hooke's law is significant in the study of material properties and mechanical behavior as it provides a simple and useful way to predict the behavior of materials under different types of loading.
- The law is used to calculate the modulus of elasticity, which is an important material property.
Example of Material Not Exhibiting Linear Relationship
- Rubber is an example of a material that does not exhibit a linear relationship between stress and strain, and therefore does not follow Hooke's law.
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