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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 . (round off to one decimal place)
  • a)
    25.2
  • b)
    68.4
  • c)
    78.2
  • d)
    63.5
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A flood control structure having an expected life of n years is design...
Risk of failure = 1 - qn = 1 - (1 - p)n = 1 - (1 - 1/T)n
For T = n → ∝
Risk of failure = 1 - (1/e) = 0.632
% risk of failure = 0.632 x 100 = 63.2%
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Community Answer
A flood control structure having an expected life of n years is design...
And T are equal, it means that the flood control structure is designed to withstand a flood event with a return period equal to its expected life.

In this case, the flood control structure is designed to handle flood events that occur with a frequency equal to its expected lifespan. This implies that the structure should be able to withstand the average magnitude and intensity of floods that occur over the course of its expected life.

Designing the flood control structure based on the same return period as its expected life helps ensure that the structure is robust enough to handle the typical flood events that may occur during its lifetime. It provides a level of protection that aligns with the structure's anticipated lifespan and minimizes the risk of failure due to flood events.
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A flood control structure having an expected life of n years is designed by considering a flood of return periodT years. When T = n,and n→∝,the structures hydrologic risk of failure in percentage is . (round off to one decimal place)a)25.2b)68.4c)78.2d)63.5Correct answer is option 'D'. Can you explain this answer?
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