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If all the dimensions of a vertically subtended circular bar are doubled, then the maximum stress produced in it due to its own weight will
- a)Become half
- b)Remain unaltered
- c)Be doubled
- d)Be tripled
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If all the dimensions of a vertically subtended circular bar are doubl...
Max. stress occurs at point where full weight acts.
Finally, stress = r × 2 L
Stress will be doubled
Stress will be doubled
Most Upvoted Answer
If all the dimensions of a vertically subtended circular bar are doubl...
Explanation:
When the dimensions of a vertically subtended circular bar are doubled, the following changes occur:
1. Diameter (d) becomes 2d.
2. Cross-sectional area (A) becomes 4πr².
3. Mass (m) becomes 4 times the original mass, assuming the density remains the same.
4. Weight (W) becomes 4 times the original weight.
The maximum stress produced in a vertically subtended circular bar due to its own weight is given by the formula:
σ = (W/(2A))
When the dimensions are doubled, the weight becomes 4 times the original weight and the area becomes 4 times the original area. Therefore, the stress formula becomes:
σ = (4W/(2*4A)) = (W/A)
Since the area is doubled, the stress is doubled as well. Hence, the correct answer is option C – the maximum stress produced in the bar due to its own weight will be doubled when all the dimensions are doubled.
When the dimensions of a vertically subtended circular bar are doubled, the following changes occur:
1. Diameter (d) becomes 2d.
2. Cross-sectional area (A) becomes 4πr².
3. Mass (m) becomes 4 times the original mass, assuming the density remains the same.
4. Weight (W) becomes 4 times the original weight.
The maximum stress produced in a vertically subtended circular bar due to its own weight is given by the formula:
σ = (W/(2A))
When the dimensions are doubled, the weight becomes 4 times the original weight and the area becomes 4 times the original area. Therefore, the stress formula becomes:
σ = (4W/(2*4A)) = (W/A)
Since the area is doubled, the stress is doubled as well. Hence, the correct answer is option C – the maximum stress produced in the bar due to its own weight will be doubled when all the dimensions are doubled.
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If all the dimensions of a vertically subtended circular bar are doubled, then the maximum stress produced in it due to its own weight willa)Become halfb)Remain unalteredc)Be doubledd)Be tripledCorrect answer is option 'C'. Can you explain this answer?
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