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A bridge has an expected life of 50 years and is designed for a flood magnitude of return period 100 years. What of the risk associate with hydrologic design?
  • a)
     1 – (0.99)50
  • b)
     (0.5)50
  • c)
     (0.99)50
  • d)
     (0.99)100
Correct answer is option 'A'. Can you explain this answer?
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Risk associated with hydrologic design is calculated based on the probability of a flood event occurring within the expected life of the structure. In this case, the bridge has an expected life of 50 years and is designed for a flood magnitude of return period 100 years.

To calculate the risk, we need to consider the probability of a flood event occurring within a given year. The return period of 100 years means that on average, a flood of this magnitude is expected to occur once every 100 years. Therefore, the probability of a flood event occurring in any given year is 1/100 or 0.01.

To calculate the risk over the expected life of the bridge, we multiply this probability by the number of years. In this case, the risk is calculated as:

Risk = Probability of flood event per year x Number of years

Risk = 0.01 x 50

Risk = 0.5

Therefore, the risk associated with hydrologic design for this bridge is 0.5, which corresponds to option A.

Explanation:
- Risk associated with hydrologic design is calculated based on the probability of a flood event occurring within the expected life of the structure.
- The bridge in this question has an expected life of 50 years and is designed for a flood magnitude of return period 100 years.
- The return period of 100 years means that on average, a flood of this magnitude is expected to occur once every 100 years.
- Therefore, the probability of a flood event occurring in any given year is 1/100 or 0.01.
- To calculate the risk over the expected life of the bridge, we multiply this probability by the number of years.
- In this case, the risk is calculated as 0.01 x 50 = 0.5.
- Therefore, the risk associated with hydrologic design for this bridge is 0.5, which corresponds to option A.
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A bridge has an expected life of 50 years and is designed for a flood magnitude of return period 100 years. What of the risk associate with hydrologic design?a)1 – (0.99)50b)(0.5)50c)(0.99)50d)(0.99)100Correct answer is option 'A'. Can you explain this answer?
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