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…

Answered: 1. Annual maximum recorded floods in a…

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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The 60-year record shows that the annual maximum discharges for a river have a mean of 30,000 cfs, a standard deviation of 28,000 cfs, and a skewness coefficient of 3.15. If the annual maximum discharge can be described by the Extreme-value Type I distribution, what is the probability that the annual maximum discharge exceeds 100,000 cfs at least once in next 10 years? (Note: The sample size is 60. Conduct interpolation using exceedance probabilities or cumulative probabilities.)
Problem 12. (7.76 Chin) During a critical 24-month period the average monthly inflows to a reservoir and the average water demand are given in Table 7.10. Use these data to estimate the minimum required storage volume of the reservoir to overcome that critical period. TABLE 7.10 Average inflow Average demand (m³/s) Average inflow Average demand Average Average inflow (m³/s) demand (m³/s) Month* (m³/s) (m³/s) (m³/s) Month Month 1000 1100 1200 1300 1350 1270 1120 1230 1320 1250 1240 1550 1600 850 1300 17 1400 1400 1400 1130 10 1200 18 11 12 13 19 20 21 1310 1370 1100 1000 1170 1210 1000 1400 1400 940 1000 1300 1260 1400 14 820 1100 22 1200 1400 1400 880 1040 1200 1300 15 23 1100 930 16 1290 24 1080 1000
A 40-year annual series of eak river discharges with the mean equal to 15,000 cfs and standard deviation equal to 7,500 cfs approximates a normal distribution. (1) Determine the discharge woth a return period of 10 years. (2) Determine the discharge with a return period of 20 years. (3) what is the return period rhay corresponds to a discharge of period of 20 years. (3) What is the return period that corresponds to discharge of 20,000 cfs? (4) What is the probability that a discharge equal to or greater than 20,000 cfs will occur during a 5-year period?

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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.