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Every direct stress is always accompanied by a strain in its own direction and an opposite kind of stain in every direction, at right angles to it. Such a strain is known as
- a)Linear strain
- b)lateral strain
- c)volumetric strain
- d)shear strain
Correct answer is option 'B'. Can you explain this answer?
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Every direct stress is always accompanied by a strain in its own direc...
Explanation:
Direct Stress:
- Direct stress is a measure of the intensity of the internal forces acting within a material due to an external load or force applied in a specific direction.
- It is represented by the formula: σ = F/A, where σ is the stress, F is the force applied, and A is the cross-sectional area of the material.
Strain:
- Strain is the measure of deformation or change in shape that occurs in a material when a stress is applied to it.
- It is represented by the formula: ε = ΔL/L, where ε is the strain, ΔL is the change in length, and L is the original length of the material.
Types of Strain:
1. Linear Strain:
- Linear strain refers to the change in length of a material in the direction of the applied stress.
- It is calculated using the formula: ε = ΔL/L, where ε is the linear strain, ΔL is the change in length, and L is the original length of the material.
2. Lateral Strain:
- Lateral strain refers to the change in width or thickness of a material perpendicular to the applied stress.
- It is denoted by the symbol εl and is given by the formula: εl = -νε, where εl is the lateral strain, ε is the linear strain, and ν is the Poisson's ratio.
3. Volumetric Strain:
- Volumetric strain refers to the change in volume of a material due to the applied stress.
- It is denoted by the symbol εv and is given by the formula: εv = ε + εl.
4. Shear Strain:
- Shear strain refers to the change in shape of a material caused by the applied shear stress.
- It is denoted by the symbol γ and is given by the formula: γ = tan(θ), where γ is the shear strain and θ is the angle of deformation.
Accompanying Strain:
- When a direct stress is applied to a material, it causes a strain in the same direction as the stress (linear strain) and an opposite kind of strain in every direction at right angles to it (lateral strain).
- In other words, when a material is subjected to a direct stress, it not only elongates or compresses in the direction of the stress but also contracts or expands in the directions perpendicular to the stress.
- This lateral strain is known as accompanying strain or lateral strain.
- Therefore, the correct answer is option 'B' - lateral strain.
Direct Stress:
- Direct stress is a measure of the intensity of the internal forces acting within a material due to an external load or force applied in a specific direction.
- It is represented by the formula: σ = F/A, where σ is the stress, F is the force applied, and A is the cross-sectional area of the material.
Strain:
- Strain is the measure of deformation or change in shape that occurs in a material when a stress is applied to it.
- It is represented by the formula: ε = ΔL/L, where ε is the strain, ΔL is the change in length, and L is the original length of the material.
Types of Strain:
1. Linear Strain:
- Linear strain refers to the change in length of a material in the direction of the applied stress.
- It is calculated using the formula: ε = ΔL/L, where ε is the linear strain, ΔL is the change in length, and L is the original length of the material.
2. Lateral Strain:
- Lateral strain refers to the change in width or thickness of a material perpendicular to the applied stress.
- It is denoted by the symbol εl and is given by the formula: εl = -νε, where εl is the lateral strain, ε is the linear strain, and ν is the Poisson's ratio.
3. Volumetric Strain:
- Volumetric strain refers to the change in volume of a material due to the applied stress.
- It is denoted by the symbol εv and is given by the formula: εv = ε + εl.
4. Shear Strain:
- Shear strain refers to the change in shape of a material caused by the applied shear stress.
- It is denoted by the symbol γ and is given by the formula: γ = tan(θ), where γ is the shear strain and θ is the angle of deformation.
Accompanying Strain:
- When a direct stress is applied to a material, it causes a strain in the same direction as the stress (linear strain) and an opposite kind of strain in every direction at right angles to it (lateral strain).
- In other words, when a material is subjected to a direct stress, it not only elongates or compresses in the direction of the stress but also contracts or expands in the directions perpendicular to the stress.
- This lateral strain is known as accompanying strain or lateral strain.
- Therefore, the correct answer is option 'B' - lateral strain.
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Every direct stress is always accompanied by a strain in its own direction and an opposite kind of stain in every direction, at right angles to it. Such a strain is known asa)Linear strainb)lateral strainc)volumetric straind)shear strainCorrect answer is option 'B'. Can you explain this answer?
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