1. Annual maximum recorded floods in a river for the period of 1951 to 1977 isgiven below. Verify whether Gumbel extreme value distribution fit the recordedvalues. Estimate the flood discharge with recurrence interval of (i) 100 years and(ii) 150 years by graphical extrapolation.Year195119521953195419551956195719581959Маx294735212399412434962947506049033757Flood(m³/s)Year196019611962196319641965196619671968Мах479842904652505069004366338078263320Flood(m3/s)Year196919701971197219731974197519761977Маx659937004175298827093873459367611971Flood(m³/s)

Flood data from year 1951 to 1957 To Find: a) Verify Gumbel Method b) Flood Discharge at recurring…

1. Annual maximum recorded floods in a river for the period of 1951 to 1977 is given below. Verify whether Gumbel extreme value distribution fit the recorded values. Estimate the flood discharge with recurrence interval of (i) 100 years and (ii) 150 years by graphical extrapolation.

1. Annual maximum recorded floods in a river for the period of 1951 to 1977 is given below. Verify whether Gumbel extreme value distribution fit the recorded values. Estimate the flood discharge with recurrence interval of (i) 100 years and (ii) 150 years by graphical extrapolation.

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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Concept explainers

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

1. Annual maximum recorded floods in a river for the period of 1951 to 1977 is
given below. Verify whether Gumbel extreme value distribution fit the recorded
values. Estimate the flood discharge with recurrence interval of (i) 100 years and
(ii) 150 years by graphical extrapolation.
Year
1951
1952
1953
1954
1955
1956
1957
1958
1959
Маx
2947
3521
2399
4124
3496
2947
5060
4903
3757
Flood
(m³/s)
Year
1960
1961
1962
1963
1964
1965
1966
1967
1968
Мах
4798
4290
4652
5050
6900
4366
3380
7826
3320
Flood
(m3/s)
Year
1969
1970
1971
1972
1973
1974
1975
1976
1977
Маx
6599
3700
4175
2988
2709
3873
4593
6761
1971
Flood
(m³/s)

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Step 1 Given Data

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Step 2 Calculate Recurrence Interval

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Step 3 Calculating Standard deviation and Average of the calculated discharge.

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Step 4 Calculating Gumble Extreme Discharge value

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