9- A levee will be constructed to provide flood protection from a river. The annual peak streamflow in the river follows a log-Pearson Type III distribution with a log10 (Q[ft³/s]) mean, standard deviation and skewness coefficient of 2.2, 0.92 and 0.4 respectively based on 70 years of observed streamflow. If the 100-year return period flow is 40,380 ft³/s, what is the upper bound of this design flow in ft³/s with a 5% chance of exceedance?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The Answer = 102,557 cfs

9-
A levee will be constructed to provide flood protection from a river.
The annual peak streamflow in the river follows a log-Pearson Type III distribution
with a log10 (Q[ft³/s]) mean, standard deviation and skewness coefficient of 2.2,
0.92 and 0.4 respectively based on 70 years of observed streamflow. If the 100-year
return period flow is 40,380 ft³/s, what is the upper bound of this design flow in
ft³/s with a 5% chance of exceedance?
Transcribed Image Text:9- A levee will be constructed to provide flood protection from a river. The annual peak streamflow in the river follows a log-Pearson Type III distribution with a log10 (Q[ft³/s]) mean, standard deviation and skewness coefficient of 2.2, 0.92 and 0.4 respectively based on 70 years of observed streamflow. If the 100-year return period flow is 40,380 ft³/s, what is the upper bound of this design flow in ft³/s with a 5% chance of exceedance?
Expert Solution
Step 1

The standard normal variable(z) for a 5% chance of exceedance can be calculated as the standard normal distribution value corresponding to the exceedance probability:

z = NormalInv(0.05) = 0.44

Mean μ =2.2

Standard deviation, σ =0.92

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