Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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The value of stress concentration factor depends on the geometry. If Ka and Kb are stress concentration factor for case (a) and case (b), respectively, which answer of the following is true?
Ka > Kb
KA = KB
KA < KB
None of the rest.
![The value of the stress concentration factor depends on the geometry. If \( K_A \) and \( K_B \) are the stress concentration factors for case (a) and case (b), respectively, which answer of the following is true?
![Diagram Explanation]
The diagram shows two different geometries subjected to force \( P \):
- **Case (a)**: The geometry is a non-uniform bar with a sharp transition to a reduced width in the middle, indicating a potential point of higher stress concentration.
- **Case (b)**: The geometry is a non-uniform bar with a smoother transition to a reduced width in the middle, suggesting a lower stress concentration compared to case (a).
Options:
- \( K_A > K_B \)
- \( K_A = K_B \)
- \( K_A < K_B \)
- None of the rest.](https://content.bartleby.com/qna-images/question/8ede0637-a731-4aa5-a543-54dacf89e51e/d5bafd55-0fed-43d7-a7d8-5dc3397b76d7/87v03vd_processed.png)
Transcribed Image Text:The value of the stress concentration factor depends on the geometry. If \( K_A \) and \( K_B \) are the stress concentration factors for case (a) and case (b), respectively, which answer of the following is true?
![Diagram Explanation]
The diagram shows two different geometries subjected to force \( P \):
- **Case (a)**: The geometry is a non-uniform bar with a sharp transition to a reduced width in the middle, indicating a potential point of higher stress concentration.
- **Case (b)**: The geometry is a non-uniform bar with a smoother transition to a reduced width in the middle, suggesting a lower stress concentration compared to case (a).
Options:
- \( K_A > K_B \)
- \( K_A = K_B \)
- \( K_A < K_B \)
- None of the rest.
Expert Solution
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Step 1
Option a is correct here
stress concentration factor shall be high in the first question bcoz we know the smooth transition between two various sized diameter shaft connections lessens the stress concentration.
also from any stress concentration graph we will know
k is dependent on r/d hence in the second option r value is given in the form of a fillet
Step by stepSolved in 2 steps with 1 images
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