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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)
- a)18.209%
- b)20.78%
- c)34.90%
- d)16.90%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A culvert is designed for a flood frequency of 100 years and a useful ...
Calculation of Risk in Culvert Design:
The risk involved in the design of the culvert can be calculated by considering the difference between the design flood frequency and the useful life of the culvert.
Given Data:
- Design Flood Frequency: 100 years
- Useful Life of Culvert: 20 years
Calculation:
The risk involved in the design of the culvert can be calculated using the following formula:
Risk = (1 - (1 - 1/A)^B) * 100
Where,
A = Design Flood Frequency
B = Useful Life of Culvert
Substitute the given data into the formula:
Risk = (1 - (1 - 1/100)^20) * 100
Risk = (1 - (1 - 0.01)^20) * 100
Risk = (1 - 0.8188) * 100
Risk = 0.1812 * 100
Risk = 18.209%
Therefore, the risk involved in the design of the culvert is 18.209%, which matches with option 'A'.
The risk involved in the design of the culvert can be calculated by considering the difference between the design flood frequency and the useful life of the culvert.
Given Data:
- Design Flood Frequency: 100 years
- Useful Life of Culvert: 20 years
Calculation:
The risk involved in the design of the culvert can be calculated using the following formula:
Risk = (1 - (1 - 1/A)^B) * 100
Where,
A = Design Flood Frequency
B = Useful Life of Culvert
Substitute the given data into the formula:
Risk = (1 - (1 - 1/100)^20) * 100
Risk = (1 - (1 - 0.01)^20) * 100
Risk = (1 - 0.8188) * 100
Risk = 0.1812 * 100
Risk = 18.209%
Therefore, the risk involved in the design of the culvert is 18.209%, which matches with option 'A'.
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Community Answer
A culvert is designed for a flood frequency of 100 years and a useful ...
Hydrologic risk
Or Risk (R) = 1 - (1 - P)n
Where T = Flood return period
P = Probability of occurring flood in a given year
n = Number of years of risk calculate or useful life of the structure.
Calculation:
Given
Flood return period (T) = 100 years
Service life of the project (n) = 20 years
Risk (R) = 1 - (1 - 0.01)20
Risk (R) = 1 - (0.99)20
Risk (R) = 1 - 0.8179 = 0.1820
Risk (R) = 0.1820 × 100 = 18.20%
Risk (R) = 18.20%
The risk involved in the design of the culvert is 18.20%.
Or Risk (R) = 1 - (1 - P)n
Where T = Flood return period
P = Probability of occurring flood in a given year
n = Number of years of risk calculate or useful life of the structure.
Calculation:
Given
Flood return period (T) = 100 years
Service life of the project (n) = 20 years
Risk (R) = 1 - (1 - 0.01)20
Risk (R) = 1 - (0.99)20
Risk (R) = 1 - 0.8179 = 0.1820
Risk (R) = 0.1820 × 100 = 18.20%
Risk (R) = 18.20%
The risk involved in the design of the culvert is 18.20%.
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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)a)18.209%b)20.78%c)34.90%d)16.90%Correct answer is option 'A'. Can you explain this answer?
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