SSC Exam > SSC Questions > Pick up the correct statement:a)Crippling st...
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Pick up the correct statement:
- a)Crippling stress depends only upon the geometry and Young's Modulus of a column
- b)Crippling stress varies parabolically with its slenderness ratio
- c)Crippling stress varies parabolically hardening slenderness ratio
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Pick up the correct statement:a)Crippling stress depends only upon th...
- Crippling stress depends only upon the geometry and Young's Modulus of a column
- Crippling stress varies parabolically with its slenderness ratio
- Crippling stress varies parabolically hardening slenderness ratio
Most Upvoted Answer
Pick up the correct statement:a)Crippling stress depends only upon th...
Explanation:
Crippling stress is the maximum stress that a column can withstand before it fails due to buckling. It is an important parameter in structural engineering, as it helps determine the stability and strength of columns.
Statement a:
Crippling stress depends only upon the geometry and Young's Modulus of a column.
This statement is partially correct. While it is true that the geometry and Young's Modulus of a column play a significant role in determining the crippling stress, there are other factors as well, such as the material properties, boundary conditions, and loadings. These additional factors can influence the crippling stress of a column.
Statement b:
Crippling stress varies parabolically with its slenderness ratio.
This statement is correct. The slenderness ratio of a column is defined as the ratio of its effective length to its radius of gyration. The crippling stress of a column is known to vary parabolically with its slenderness ratio. As the slenderness ratio increases, the crippling stress decreases, indicating that longer and slender columns are more prone to buckling.
Statement c:
Crippling stress varies parabolically with hardening slenderness ratio.
This statement is incorrect. The concept of "hardening slenderness ratio" is not commonly used in structural engineering. The slenderness ratio is typically defined based on the geometry and dimensions of the column, and it does not incorporate any notion of hardening.
Conclusion:
From the above analysis, we can conclude that statement a is partially correct, statement b is correct, and statement c is incorrect. Therefore, the correct statement is option 'D': All of the above.
Crippling stress is the maximum stress that a column can withstand before it fails due to buckling. It is an important parameter in structural engineering, as it helps determine the stability and strength of columns.
Statement a:
Crippling stress depends only upon the geometry and Young's Modulus of a column.
This statement is partially correct. While it is true that the geometry and Young's Modulus of a column play a significant role in determining the crippling stress, there are other factors as well, such as the material properties, boundary conditions, and loadings. These additional factors can influence the crippling stress of a column.
Statement b:
Crippling stress varies parabolically with its slenderness ratio.
This statement is correct. The slenderness ratio of a column is defined as the ratio of its effective length to its radius of gyration. The crippling stress of a column is known to vary parabolically with its slenderness ratio. As the slenderness ratio increases, the crippling stress decreases, indicating that longer and slender columns are more prone to buckling.
Statement c:
Crippling stress varies parabolically with hardening slenderness ratio.
This statement is incorrect. The concept of "hardening slenderness ratio" is not commonly used in structural engineering. The slenderness ratio is typically defined based on the geometry and dimensions of the column, and it does not incorporate any notion of hardening.
Conclusion:
From the above analysis, we can conclude that statement a is partially correct, statement b is correct, and statement c is incorrect. Therefore, the correct statement is option 'D': All of the above.
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Pick up the correct statement:a)Crippling stress depends only upon the geometry and Young's Modulus of a columnb)Crippling stress varies parabolically with its slenderness ratioc)Crippling stress varies parabolically hardening slenderness ratiod)All of the aboveCorrect answer is option 'D'. Can you explain this answer?
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