WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 19, Problem 19.4.2P
To determine
The return period that maximizes the expected annual net benefits.
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Question 3. Calculate the risk for each option below. a) A dam shall be
constructed to withstand a flood that occurs once every 10,000 years.
The dam is expected to have an economic life of 100 years. What is the
probability of a flood exceeding the design flood over the life of the
dam?
b) The intended design life of a bridge is 120 years and it is designed
for a flood expected to occur once in 100 years. What is the probability
of seeing a flood greater than the expected one in 100 years during
the bridge's design life?
c) One bridge foot will be built inside the temporary cofferdam. If the
cofferdam is designed for a flood that is expected to occur once in 20
years and will remain in the river for two winters, what is the
probability of a flood greater than the design flood?
A dam is being considered to reduce river flooding. But if a dam is built, what height should it be? Increasing the dam’s height will (1) reduce a flood’s probability, (2) reduce the damage when floods occur, and (3) cost more. Which dam height minimizes the expected total annual cost? The state uses an interest rate of 5% for flood protection projects, and all the dams should last 50 years.
A flood of certain magnitude has a return period of 25 years. The probability of exceedance is ?
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