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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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