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A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?
- a)Youngs modulus
- b)Poissons ratio
- c)Shear modulus
- d)Both Youngs modulus and shear modulus
Correct answer is option 'A'. Can you explain this answer?
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A rod of length L and diameter D is subjected to a tensile load P. whi...
Understanding the Relationship Between Load and Diameter Change
When a rod is subjected to a tensile load, both its length and diameter change. To calculate the change in diameter specifically, we need to consider certain material properties.
Key Concepts Involved
- Young's Modulus (E):
- It measures the stiffness of a material and indicates how much it will deform under a given load.
- It is directly related to the axial strain in the rod when subjected to tensile stress.
- Poisson's Ratio (ν):
- This is the ratio of lateral strain to axial strain.
- While it does provide insight into how much the diameter will change in relation to the length change, it cannot be used alone to determine the absolute change in diameter.
- Shear Modulus (G):
- This property relates to the material's response to shear stress, which is not directly involved in calculating changes in diameter resulting from tensile loads.
Why Young's Modulus is Sufficient
- When calculating the change in diameter due to a tensile load, Young's modulus provides the necessary information about how the material will stretch, which is the primary factor affecting both length and diameter.
- Although Poisson's ratio is important for understanding the relationship between axial and lateral strains, it cannot provide the absolute values needed without knowing the Young’s modulus.
- Therefore, the combination of Young's modulus and Poisson's ratio would give a complete understanding, but since the question is about sufficiency, Young's modulus alone is enough to initiate the calculation.
Conclusion
In summary, for calculating the change in diameter of a rod under tensile stress, Young's modulus is indeed sufficient since it directly relates to how the material deforms under load.
When a rod is subjected to a tensile load, both its length and diameter change. To calculate the change in diameter specifically, we need to consider certain material properties.
Key Concepts Involved
- Young's Modulus (E):
- It measures the stiffness of a material and indicates how much it will deform under a given load.
- It is directly related to the axial strain in the rod when subjected to tensile stress.
- Poisson's Ratio (ν):
- This is the ratio of lateral strain to axial strain.
- While it does provide insight into how much the diameter will change in relation to the length change, it cannot be used alone to determine the absolute change in diameter.
- Shear Modulus (G):
- This property relates to the material's response to shear stress, which is not directly involved in calculating changes in diameter resulting from tensile loads.
Why Young's Modulus is Sufficient
- When calculating the change in diameter due to a tensile load, Young's modulus provides the necessary information about how the material will stretch, which is the primary factor affecting both length and diameter.
- Although Poisson's ratio is important for understanding the relationship between axial and lateral strains, it cannot provide the absolute values needed without knowing the Young’s modulus.
- Therefore, the combination of Young's modulus and Poisson's ratio would give a complete understanding, but since the question is about sufficiency, Young's modulus alone is enough to initiate the calculation.
Conclusion
In summary, for calculating the change in diameter of a rod under tensile stress, Young's modulus is indeed sufficient since it directly relates to how the material deforms under load.
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A rod of length L and diameter D is subjected to a tensile load P. whi...
For longitudinal strain we need Youngs modulus and for calculating transverse strain we need Poisson’s ratio. We may calculate Poissons ratio from E = 2G(1 + μ) for that we need shear modulus.
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A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer?
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A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer?.
A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?a)Youngs modulusb)Poissons ratioc)Shear modulusd)Both Youngs modulus and shear modulusCorrect answer is option 'A'. Can you explain this answer?.
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