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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 is '(18.20)'. Can you explain this answer?
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A culvert is designed for a flood frequency of 100 years and a useful ...
Risk = The probability of a flood to occur at least once in n-successive years.
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A culvert is designed for a flood frequency of 100 years and a useful ...
Understanding the Risk Involved in Culvert Design
Understanding the Components Involved:
- Flood Frequency: The flood frequency of 100 years means that there is a 1% chance of a flood of this magnitude occurring in any given year.
- Useful Life: The useful life of the culvert is 20 years, after which it may need to be replaced or repaired.
Calculating the Risk
Risk can be calculated as the probability of an event occurring multiplied by the consequences of that event. In this case, the risk involved in the design of the culvert can be calculated as follows:
Risk = (1 - (1 - 1/100)^20) x 100%
- (1 - 1/100) represents the probability of not experiencing a flood in any given year.
- (1 - 1/100)^20 represents the probability of not experiencing a flood in 20 years.
- 1 - (1 - 1/100)^20 represents the probability of experiencing at least one flood in 20 years.
Calculating the Risk Percentage
By plugging the values into the formula, we get:
Risk = (1 - (1 - 1/100)^20) x 100%
Risk = (1 - (0.99)^20) x 100%
Risk = (1 - 0.818) x 100%
Risk = 0.182 x 100%
Risk = 18.20%
Therefore, the risk involved in the design of the culvert is 18.20%, indicating the likelihood of experiencing at least one flood event within the useful life of the culvert.
Understanding the Components Involved:
- Flood Frequency: The flood frequency of 100 years means that there is a 1% chance of a flood of this magnitude occurring in any given year.
- Useful Life: The useful life of the culvert is 20 years, after which it may need to be replaced or repaired.
Calculating the Risk
Risk can be calculated as the probability of an event occurring multiplied by the consequences of that event. In this case, the risk involved in the design of the culvert can be calculated as follows:
Risk = (1 - (1 - 1/100)^20) x 100%
- (1 - 1/100) represents the probability of not experiencing a flood in any given year.
- (1 - 1/100)^20 represents the probability of not experiencing a flood in 20 years.
- 1 - (1 - 1/100)^20 represents the probability of experiencing at least one flood in 20 years.
Calculating the Risk Percentage
By plugging the values into the formula, we get:
Risk = (1 - (1 - 1/100)^20) x 100%
Risk = (1 - (0.99)^20) x 100%
Risk = (1 - 0.818) x 100%
Risk = 0.182 x 100%
Risk = 18.20%
Therefore, the risk involved in the design of the culvert is 18.20%, indicating the likelihood of experiencing at least one flood event within the useful life of the culvert.
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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 is '(18.20)'. Can you explain this answer?
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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 is '(18.20)'. 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 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 is '(18.20)'. 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 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 is '(18.20)'. Can you explain this answer?.
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