GATE CE 2018 Set 2 — Question 35
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Water Resources Engineering → Hydrographs & Groundwater → Flood Estimation
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Question
A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is ______
Correct answer
17.5 to 18.5
Solution
Risk () is defined as the probability that a design flood of return period will occur at least once in the useful life of years.The probability of occurrence in any single year is .
The probability of non-occurrence in any single year is .
The probability of non-occurrence in successive years is .The risk is given by:Given:
Return period () = 100 years
Useful life () = 20 yearsSubstituting the values:In percentage:The correct range is 17.50 to 18.50.
The probability of non-occurrence in any single year is .
The probability of non-occurrence in successive years is .The risk is given by:Given:
Return period () = 100 years
Useful life () = 20 yearsSubstituting the values:In percentage:The correct range is 17.50 to 18.50.
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