Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to: Year Runoff cm 54 45 51 41 21 32 66 25 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 Rain cm 118 98 112 97 84 91 138 89 104 80 97 75 107 75 93 129 153 92 84 121 95 42 11 32 17 32 15 28 48 76 27 18 52 26 1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distribution p = m/(n+1). 2) Develop a regression equation to estimate the return period for a given runoff and rainfall value. 3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2. NB Report your answers in three significant digits.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to:
Year
Rain
Runoff
cm
cm
1975
118
54
1976
98
45
1977
112
51
1978
97
41
1979
84
21
1980
91
32
1981
138
66
1982
89
25
1983
104
42
1984
80
11
1985
97
32
1986
75
17
1987
107
32
1988
75
15
1989
93
28
1990
129
48
1991
153
76
1992
92
27
1993
84
18
1994
121
52
1995
95
26
1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distributionp = m/(n+1).
2) Develop a regression equation to estimate the return period for a given runoff and rainfall value.
3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2.
NB Report your answers in three significant digits.
Transcribed Image Text:Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to: Year Rain Runoff cm cm 1975 118 54 1976 98 45 1977 112 51 1978 97 41 1979 84 21 1980 91 32 1981 138 66 1982 89 25 1983 104 42 1984 80 11 1985 97 32 1986 75 17 1987 107 32 1988 75 15 1989 93 28 1990 129 48 1991 153 76 1992 92 27 1993 84 18 1994 121 52 1995 95 26 1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distributionp = m/(n+1). 2) Develop a regression equation to estimate the return period for a given runoff and rainfall value. 3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2. NB Report your answers in three significant digits.
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