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A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)
Correct answer is between '63.0,63.5'. Can you explain this answer?
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A flood control structure having an expected life of n years is design...
When T = n, it means that the flood event with a return period of T years is equal to the expected life of the flood control structure. This implies that the flood control structure is designed to withstand the maximum flood event that is expected to occur within its lifetime.
In such a case, the design of the flood control structure takes into account the peak flow rate, volume, and intensity of the flood event with a return period of T years. The structure is designed to safely handle and mitigate the impacts of this flood event, considering factors such as floodplain elevation, river capacity, and potential damage to surrounding areas.
Designing the flood control structure for a flood event with a return period equal to its expected life ensures that the structure is robust and capable of providing effective flood protection throughout its intended lifespan. It minimizes the risk of failure or damage due to flooding, as it is specifically designed to withstand the largest flood event that is anticipated during its operational lifespan.
In such a case, the design of the flood control structure takes into account the peak flow rate, volume, and intensity of the flood event with a return period of T years. The structure is designed to safely handle and mitigate the impacts of this flood event, considering factors such as floodplain elevation, river capacity, and potential damage to surrounding areas.
Designing the flood control structure for a flood event with a return period equal to its expected life ensures that the structure is robust and capable of providing effective flood protection throughout its intended lifespan. It minimizes the risk of failure or damage due to flooding, as it is specifically designed to withstand the largest flood event that is anticipated during its operational lifespan.
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A flood control structure having an expected life of n years is design...
R = 1 - qn∴
⇒ R = 1 - (1 - P)n
Given than T = n and n → ∞
⇒
⇒
...(i)
We know that
So let's take -1/n = y
∴ n = -1/y
at n = ∞ ; y = 0
Put in eq. (i)
∴ R = 1 - e-1
R = 0.6321 i.e. 63.2%
⇒ R = 1 - (1 - P)n
Given than T = n and n → ∞
⇒
⇒
...(i) We know that
So let's take -1/n = y
∴ n = -1/y
at n = ∞ ; y = 0
Put in eq. (i)
∴ R = 1 - e-1
R = 0.6321 i.e. 63.2%
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A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer?
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A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer?.
A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)Correct answer is between '63.0,63.5'. Can you explain this answer?.
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