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Within elastic limit, the ratio of lateral strain to the linear strain is known as
- a)modulus of rigidity
- b)bulk modulus
- c)modulus of elasticity
- d)Poisson’s ratio
Correct answer is option 'D'. Can you explain this answer?
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Within elastic limit, the ratio of lateral strain to the linear strai...
Within elastic limit, the ratio of lateral strain to the linear strain Is known as Poisson’s ratio
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Understanding Poisson's Ratio
Poisson's ratio is a fundamental concept in the field of material science and mechanics, particularly in the study of elastic materials.
Definition
- Poisson's ratio is defined as the ratio of lateral strain to linear strain within the elastic limit of a material.
- Mathematically, it can be expressed as:
- Poisson's Ratio (ν) = Lateral Strain / Linear Strain
Importance in Mechanics
- Elastic Behavior: Poisson's ratio helps to describe how materials deform under stress. When a material is stretched, it not only elongates but also contracts in the perpendicular direction.
- Material Properties: Different materials exhibit different Poisson's ratios, which helps in characterizing their behavior. Most materials have a Poisson's ratio between 0 and 0.5.
Comparison with Other Moduli
- Modulus of Rigidity: This measures a material's response to shear stress, not the lateral strain.
- Bulk Modulus: This refers to a material's response to uniform pressure and is different from the ratio of lateral to linear strain.
- Modulus of Elasticity: While this measures the stiffness of a material (stress to strain ratio), it does not specifically address the lateral strain aspect.
Conclusion
Understanding Poisson's ratio is crucial in engineering and design, as it influences how materials behave under various loading conditions. It plays a significant role in predicting the deformation and stability of structures. Thus, the correct answer to the question is indeed option 'D', Poisson’s ratio.
Poisson's ratio is a fundamental concept in the field of material science and mechanics, particularly in the study of elastic materials.
Definition
- Poisson's ratio is defined as the ratio of lateral strain to linear strain within the elastic limit of a material.
- Mathematically, it can be expressed as:
- Poisson's Ratio (ν) = Lateral Strain / Linear Strain
Importance in Mechanics
- Elastic Behavior: Poisson's ratio helps to describe how materials deform under stress. When a material is stretched, it not only elongates but also contracts in the perpendicular direction.
- Material Properties: Different materials exhibit different Poisson's ratios, which helps in characterizing their behavior. Most materials have a Poisson's ratio between 0 and 0.5.
Comparison with Other Moduli
- Modulus of Rigidity: This measures a material's response to shear stress, not the lateral strain.
- Bulk Modulus: This refers to a material's response to uniform pressure and is different from the ratio of lateral to linear strain.
- Modulus of Elasticity: While this measures the stiffness of a material (stress to strain ratio), it does not specifically address the lateral strain aspect.
Conclusion
Understanding Poisson's ratio is crucial in engineering and design, as it influences how materials behave under various loading conditions. It plays a significant role in predicting the deformation and stability of structures. Thus, the correct answer to the question is indeed option 'D', Poisson’s ratio.
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Within elastic limit, the ratio of lateral strain to the linear strain is known asa)modulus of rigidityb)bulk modulusc)modulus of elasticityd)Poisson’s ratioCorrect answer is option 'D'. Can you explain this answer?
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