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A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will be
- a)12 mm
- b)24 mm
- c)6 mm
- d)3 mm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A load P is applied onto a body gradually and the elongation observed...
Understanding Elongation under Load
When a load P is applied to a material, the nature of the loading (gradual vs. sudden) significantly affects the elongation experienced by the material.
Gradual Load Application
- When the load is applied gradually, the material has time to deform elastically without much internal stress concentration.
- In this scenario, the elongation observed is 12 mm.
Sudden Load Application
- Applying the same load suddenly means that the load is applied in an instant, which causes different behavior in the material.
- The sudden application leads to higher stress and strain rates, as the material does not have time to adjust to the load.
Impact on Elongation
- The sudden application generally results in a larger elongation due to dynamic effects.
- Typically, the elongation can increase by a factor due to inertia and impact, often approximated to be double the elongation from gradual loading.
Conclusion
- Since the elongation observed under gradual loading is 12 mm, under sudden loading, the material experiences approximately double the elongation.
- Therefore, the instantaneous elongation with load P applied suddenly will be 24 mm.
This reasoning leads to the conclusion that the correct answer is option 'B', which states that the instantaneous elongation will be 24 mm.
When a load P is applied to a material, the nature of the loading (gradual vs. sudden) significantly affects the elongation experienced by the material.
Gradual Load Application
- When the load is applied gradually, the material has time to deform elastically without much internal stress concentration.
- In this scenario, the elongation observed is 12 mm.
Sudden Load Application
- Applying the same load suddenly means that the load is applied in an instant, which causes different behavior in the material.
- The sudden application leads to higher stress and strain rates, as the material does not have time to adjust to the load.
Impact on Elongation
- The sudden application generally results in a larger elongation due to dynamic effects.
- Typically, the elongation can increase by a factor due to inertia and impact, often approximated to be double the elongation from gradual loading.
Conclusion
- Since the elongation observed under gradual loading is 12 mm, under sudden loading, the material experiences approximately double the elongation.
- Therefore, the instantaneous elongation with load P applied suddenly will be 24 mm.
This reasoning leads to the conclusion that the correct answer is option 'B', which states that the instantaneous elongation will be 24 mm.
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Community Answer
A load P is applied onto a body gradually and the elongation observed...
Δgradual = 12mm
δsudden = 2(δgradual ) = 24 mm
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A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer?.
A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A load P is applied onto a body gradually and the elongation observed is 12 mm. If the same load P is applied suddenly. The instantaneous elongation in the body will bea) 12 mmb) 24 mmc) 6 mmd) 3 mmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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