For a river, the estimated flood peaks for two return periods by the use of the Gumbel distribution and the Annual maximum model are shown in the table below. Return Period (years) 100 50 Flood Peak (m³/s) 435 395 Determine the 1000-year flood.

For a river, the estimated flood peaks for two return periods by the use of the Gumbel distribution and the Annual maximum model are shown in the table below. Return Period (years) 100 50 Flood Peak (m³/s) 435 395 Determine the 1000-year flood.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Probability, risk and uncertainty analysis for hydrological design

It gives a framework that is financially critical for finding the exceptional designs of hydrological systems with a reduced cost in total inclusive of the project cost and the disaster mitigation cost. But there would be hardly any assessment of a decent quality damage function. Hence, errors in demonstrating the hydrologic events, incorrect model parameters, and so on may occur. Here, we will discuss a specific hydrological design that of a detention basin for studying and understanding the risk-based procedure, uncertainties, and probability analysis by following a systematic framework.

Question

For a river, the estimated flood peaks for two return periods by the use of the Gumbel distribution
and the Annual maximum model are shown in the table below.
Return Period
(years)
100
50
Flood Peak
(m³/s)
435
395
Determine the 1000-year flood.

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Step 1: State the given data

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Step 2: Determine the reduced variate for different return period

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Step 3: Gumbel equation for 50 and 100 years return period

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Step 4: Determine the 1000 years flood

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