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Modulus of rigidity is defined as the ratio of ________.
- a)Longitudinal stress and longitudinal strain
- b)Volumetric stress and volumetric strain
- c)Lateral stress and lateral strain
- d)Shear stress and shear strain
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Modulus of rigidity is defined as the ratio of ________.a)Longitudinal...
The ratio of tensile stress or compressive stress to the corresponding strain is a constant. This ratio is known as Young’s Modulus or Modulus of Elasticity and is denoted by E.
The ratio of shear stress to the corresponding shear strain within the elastic limit, is known as Modulus of Rigidity or Shear Modulus. This is denoted by C or G or N.
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Modulus of rigidity is defined as the ratio of ________.a)Longitudinal...
Modulus of Rigidity: Definition and Explanation
Modulus of rigidity is an important mechanical property of a material that measures its ability to resist deformation under shear stress. It is denoted by the symbol G and is defined as the ratio of shear stress to shear strain within the elastic limit of the material.
Shear Stress and Shear Strain
Shear stress is the force per unit area that is applied parallel to the cross-sectional area of a material. It is denoted by the symbol τ and is measured in units of pressure, such as pascals (Pa) or pounds per square inch (psi). Shear strain is the degree of deformation that occurs in a material when it is subjected to shear stress. It is denoted by the symbol γ and is measured in units of length per length or as a dimensionless quantity.
Formula for Modulus of Rigidity
The formula for modulus of rigidity is given by:
G = τ/γ
where G is the modulus of rigidity, τ is the shear stress, and γ is the shear strain.
Units of Modulus of Rigidity
The units of modulus of rigidity depend on the units used for shear stress and shear strain. For example, if shear stress is measured in pascals (Pa) and shear strain is measured as a dimensionless quantity, then the units of modulus of rigidity are also pascals (Pa). However, if shear stress is measured in pounds per square inch (psi) and shear strain is measured in inches per inch (in/in), then the units of modulus of rigidity are pounds per square inch (psi).
Conclusion
Modulus of rigidity is an important mechanical property that measures a material's ability to resist deformation under shear stress. It is defined as the ratio of shear stress to shear strain and is denoted by the symbol G. The units of modulus of rigidity depend on the units used for shear stress and shear strain.
Modulus of rigidity is an important mechanical property of a material that measures its ability to resist deformation under shear stress. It is denoted by the symbol G and is defined as the ratio of shear stress to shear strain within the elastic limit of the material.
Shear Stress and Shear Strain
Shear stress is the force per unit area that is applied parallel to the cross-sectional area of a material. It is denoted by the symbol τ and is measured in units of pressure, such as pascals (Pa) or pounds per square inch (psi). Shear strain is the degree of deformation that occurs in a material when it is subjected to shear stress. It is denoted by the symbol γ and is measured in units of length per length or as a dimensionless quantity.
Formula for Modulus of Rigidity
The formula for modulus of rigidity is given by:
G = τ/γ
where G is the modulus of rigidity, τ is the shear stress, and γ is the shear strain.
Units of Modulus of Rigidity
The units of modulus of rigidity depend on the units used for shear stress and shear strain. For example, if shear stress is measured in pascals (Pa) and shear strain is measured as a dimensionless quantity, then the units of modulus of rigidity are also pascals (Pa). However, if shear stress is measured in pounds per square inch (psi) and shear strain is measured in inches per inch (in/in), then the units of modulus of rigidity are pounds per square inch (psi).
Conclusion
Modulus of rigidity is an important mechanical property that measures a material's ability to resist deformation under shear stress. It is defined as the ratio of shear stress to shear strain and is denoted by the symbol G. The units of modulus of rigidity depend on the units used for shear stress and shear strain.
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