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Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?
- a)Shearing strain
- b)Longitudinal strain
- c)Volume strain
- d)Volumetric strain
Correct answer is option 'D'. Can you explain this answer?
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Which type of strain represents the change in volume relative to the i...
Understanding Volumetric Strain
Volumetric strain is a critical concept in materials science and engineering, particularly when analyzing how materials respond to external forces.
Definition
- Volumetric strain is defined as the change in volume of a material relative to its original volume due to external deformation-producing forces.
Formula
- The formula for volumetric strain (ΔV/V₀) is expressed as:
\[
\text{Volumetric Strain} = \frac{\Delta V}{V₀}
\]
where:
- ΔV = Change in volume
- V₀ = Original volume
Comparison with Other Strains
- **Shearing Strain**: Measures the change in shape without a change in volume, primarily concerned with angular distortion.
- **Longitudinal Strain**: Focuses on the change in length relative to the original length, often associated with stretching or compressing along one axis.
- **Volume Strain**: Often used interchangeably with volumetric strain but can refer specifically to the relative change in volume without emphasizing the external forces.
Significance
- Understanding volumetric strain is vital for engineers and scientists when designing structures and materials, ensuring they can withstand applied forces without failing.
- It plays a crucial role in applications ranging from civil engineering to geotechnics, where soil and rock behavior under pressure must be predicted.
In conclusion, volumetric strain accurately represents how a material's volume changes in response to external forces, making it the correct choice in this context.
Volumetric strain is a critical concept in materials science and engineering, particularly when analyzing how materials respond to external forces.
Definition
- Volumetric strain is defined as the change in volume of a material relative to its original volume due to external deformation-producing forces.
Formula
- The formula for volumetric strain (ΔV/V₀) is expressed as:
\[
\text{Volumetric Strain} = \frac{\Delta V}{V₀}
\]
where:
- ΔV = Change in volume
- V₀ = Original volume
Comparison with Other Strains
- **Shearing Strain**: Measures the change in shape without a change in volume, primarily concerned with angular distortion.
- **Longitudinal Strain**: Focuses on the change in length relative to the original length, often associated with stretching or compressing along one axis.
- **Volume Strain**: Often used interchangeably with volumetric strain but can refer specifically to the relative change in volume without emphasizing the external forces.
Significance
- Understanding volumetric strain is vital for engineers and scientists when designing structures and materials, ensuring they can withstand applied forces without failing.
- It plays a crucial role in applications ranging from civil engineering to geotechnics, where soil and rock behavior under pressure must be predicted.
In conclusion, volumetric strain accurately represents how a material's volume changes in response to external forces, making it the correct choice in this context.
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Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer?
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Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer? for Delhi Police Constable 2025 is part of Delhi Police Constable preparation. The Question and answers have been prepared according to the Delhi Police Constable exam syllabus. Information about Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Delhi Police Constable 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer?.
Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer? for Delhi Police Constable 2025 is part of Delhi Police Constable preparation. The Question and answers have been prepared according to the Delhi Police Constable exam syllabus. Information about Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Delhi Police Constable 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?a)Shearing strainb)Longitudinal strainc)Volume straind)Volumetric strainCorrect answer is option 'D'. Can you explain this answer?.
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