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Modulus of rigidity is defined as the
- a)ratio of tangential stress to tangential strain
- b)ratio of normal stress to sheer strain
- c)ratio of normal stress to tangential strain
- d)ratio of tangential stress to sheer strain
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Modulus of rigidity is defined as thea)ratio of tangential stress to t...
Modulus of rigidity is defined as the ratio of Shear stress to shear strain.
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Most Upvoted Answer
Modulus of rigidity is defined as thea)ratio of tangential stress to t...
Modulus of rigidity, also known as shear modulus, is a mechanical property that measures the resistance of a material to shear deformation. It represents the ratio of tangential stress to shear strain. Therefore, the correct answer is option 'D' - the ratio of tangential stress to shear strain.
Let's break down the explanation further:
1. Tangential Stress:
Tangential stress refers to the stress that acts parallel to the surface of an object or material, causing deformation in the form of shearing. It is represented by the Greek symbol tau (τ).
2. Shear Strain:
Shear strain is a measure of the deformation or distortion that occurs when tangential stress is applied to an object or material. It expresses the change in shape or displacement of the material due to shearing forces.
3. Modulus of Rigidity:
The modulus of rigidity (G) quantifies the material's ability to resist shear deformation. It is defined as the ratio of tangential stress (τ) to shear strain (γ).
Mathematically, the modulus of rigidity can be expressed as:
G = τ / γ
Where:
G = Modulus of Rigidity
τ = Tangential Stress
γ = Shear Strain
The unit of modulus of rigidity is pascal (Pa) or newton per square meter (N/m²).
By understanding the definition and formula of modulus of rigidity, it becomes clear that the correct answer is option 'D' - the ratio of tangential stress to shear strain.
Let's break down the explanation further:
1. Tangential Stress:
Tangential stress refers to the stress that acts parallel to the surface of an object or material, causing deformation in the form of shearing. It is represented by the Greek symbol tau (τ).
2. Shear Strain:
Shear strain is a measure of the deformation or distortion that occurs when tangential stress is applied to an object or material. It expresses the change in shape or displacement of the material due to shearing forces.
3. Modulus of Rigidity:
The modulus of rigidity (G) quantifies the material's ability to resist shear deformation. It is defined as the ratio of tangential stress (τ) to shear strain (γ).
Mathematically, the modulus of rigidity can be expressed as:
G = τ / γ
Where:
G = Modulus of Rigidity
τ = Tangential Stress
γ = Shear Strain
The unit of modulus of rigidity is pascal (Pa) or newton per square meter (N/m²).
By understanding the definition and formula of modulus of rigidity, it becomes clear that the correct answer is option 'D' - the ratio of tangential stress to shear strain.
Community Answer
Modulus of rigidity is defined as thea)ratio of tangential stress to t...
A
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Modulus of rigidity is defined as thea)ratio of tangential stress to tangential strainb)ratio of normal stress to sheer strainc)ratio of normal stress to tangential straind)ratio of tangential stress to sheer strainCorrect answer is option 'D'. Can you explain this answer?
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