Annual rainfall data for station M as well as the average annual rainfall values for a group of ten neighboring statior homogeneous region are given below. Find the finalized value of annual precipitation. ANNUAL RAINFALL AVE. ANNUAL RAINFALL OF YEAR OF STA. M. THE GROUP Finalized values of precipitation (mm) (mm) 1969 177 143 1970 144 132 A? 1971 178 146 В? 1972 162 147 C? 1973 194 161 D? 1974 168 155 E? 1975 196 152 F? 1976 144 117 G? 1977 160 128 H? 1978 196 193 1? 1979 141 156 J? 1980 158 164 1981 145 155 1982 132 143 1983 95 115 1984 148 135 1985 142 163 1986 140 135 1987 130 143 1988 137 130 1989 130 146 1990 163 161

Annual rainfall data for station M as well as the average annual rainfall values for a group of ten neighboring statior homogeneous region are given below. Find the finalized value of annual precipitation. ANNUAL RAINFALL AVE. ANNUAL RAINFALL OF YEAR OF STA. M. THE GROUP Finalized values of precipitation (mm) (mm) 1969 177 143 1970 144 132 A? 1971 178 146 В? 1972 162 147 C? 1973 194 161 D? 1974 168 155 E? 1975 196 152 F? 1976 144 117 G? 1977 160 128 H? 1978 196 193 1? 1979 141 156 J? 1980 158 164 1981 145 155 1982 132 143 1983 95 115 1984 148 135 1985 142 163 1986 140 135 1987 130 143 1988 137 130 1989 130 146 1990 163 161

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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1. Find area precipitation by isohyetal method for a certain catchment area given the following data Isohyets, cm P 6.8 S 4 PS 3 12/2 P1.5 DEPARTMENT OF CIVIL ENGINEERING CCB 433 - Fluid Mechanics for Civil Engineers Tutorial 1 August 2022 O Time, min Rainfall, em + 602 Area enclosed within catchment boundary, km 2. A catchment has six rain gauge stations. In a year, the annual rainfall recorded by the gauges are as follows: Station 10 0 A F 102.7 Rainfall, mm 86.3 For a 10% error in the estimation of mean rainfall, calculate the optimum number of stations in the catchment 90 3.18 6816 3. From the precipitation data given, estimate cumulative rainfall and rainfall intensity. Time, min 40 60 50 0.32 0.37 0.43 Rainfall, cm - 10 0.18 20 97 213 410 602 633 100 1.65 B C D E 108.9 154.2 78.3 93.1 +00 2+15 2 20 0.21 1975 30 0.26 120 130 0.26 110 0.81 0.52 P = A₁ 6+5 2 Athal-1975 P₂ • (Pi+ P² ] + An [Po+Pr+ A₂ Atotal + (33 +97 140 0.42 2 150 0.36 5+4 70 80 0.64 1.14 160 170 0.28 0.19 + 213 413…
A catchment has six rain gauge stations, In a year, the annual rainfall recorded by the gauges are as follows: Station R C A B F DE Rainfall (cm) 82.6 102.9 180.3 110.3 98.8 136.7 For a 10% error in the estimation of the mean rainfall, what is the optimum number of = 35.04 and ε = 10) stations in the catchment? (Take P = 118.6, om-1 1 (b) 9 (d) 7 (a) 10 (c) 8
6. In a catchment area, approximated by a circle of diameter 100 km, four rainfall stations are situated inside the catchment and one station is outside in its neighborhood. The coordinates of the center of the catchment and of the five stations are given below. Also given are the annual precipitation recorded by the five stations in 1980. Determine the average annual precipitation by the Thiessen-mean method. Centre: (100, 100) Diameter: 100 km Distance are in km 3 4 Station Coordinates (30, 80) (70, 100) (100, 140) (130, 100) (100, 70) Precipitation 85 135.2 95.3 146.4 102.2
(50%)1. Test the consistency of the 22 years of data of the annual precipitation measured at station A. Rainfall data for station A as well as the average annual rainfall measured at a group of eight (8) neighboring stations located in a meteorologically homogeneous region are given as follows: Year Annual Year Annual Average Annual Average Annual Rainfall of 8 Stations Rainfall of Rainfall of Station A Rainfall of 8 Station A (mm) Stations (mm) groups (mm) groups (mm) 1946 177 143 1957 158 164 1947 144 132 1958 145 155 1948 178 146 1959 132 143 1949 162 147 1960 95 115 135 1950 194 161 1961 148 1951 168 155 1962 142 163 1952 196 152 1963 140 135 1953 144 117 1964 130 143 1954 160 128 1965 137 130 1955 196 193 1966 1967 130 146 1956 141 156 163 161 a). In what year is a change in regime indicated? b). Adjust the recorded data at station A and determine the mean annual precipitation.
Problem 2: A square shape catchment with 100 km² area has five raingauge stations at the center of the catchment (A) and center of each side of basin (B, C, D and E). Each station has certain rainfall recorded which are given in Table below. Compute the mean precipitation applying Thiessen-mean method. Station A B с D E P (mm) 24 20 30 35 D Ud Å E B 5 15
V:0. H.W.2 A catchment has six rain gages. The annual rainfall recorded by gages are as follows. Station Rainfall (cm) 2 3 4 5 6 82.6 102.9 180.3 110.3 98.8 136.7 For 10% error in the estimation of the mean rainfall, calculate the optimum number of the stations in the catchment. II
(B)- For the area shown in the figure find the mean rainfall by Thiessen Polygon method if the value of the annual rainfall was given in the following table. Station Annual Rainfall (cm) P 110 Q 125 R 120 S 125 Pa R Q 10 km
The following rainfall data refers to any station 'P' and 'Q' which are equidistant from station 'X': Station 'P' Station'X' Station 'Q' 300 350 400 210 A 360 Long term normal annual rainfall in mm | Annual rainfall in mm for the year 1980 The value of 'A' will be
2.16 The record of annual rainfall at a place is available for 25 years. Plot the curve of recurrence interval vs annual rainfall magnitude and by suitable interpolation estimate Precipitation 69 the magnitude of rainfall at the station that would correspond to a recurrence interval of (a) 50 years, and (b) 100 years. Annual Rainfall Annual Rainfall Year (ст) Year (ст) 1950 113.0 1963 68.6 1951 94.5 1964 82.5 1952 76.0 1965 90.7 1953 87.5 1966 99.8 1954 92.7 1967 74.4 1955 71.3 1968 66.6 1956 77.3 1969 65.0 1957 85.1 1970 91.0 1958 122.8 1971 106.8 1959 69.4 1972 102.2 1960 81.0 1973 87.0 1961 94.5 1974 84.0 1962 86.3
In a catchment area, approximated by a circle of diameter 100 km, four rainfall stations are situated inside the catchment and one station is outside in its neigh- bourhood. The coordinates of the centre of the catchment and of the five stations are given below. Also given are the annual precipitation recorded by the five stations in 1980. Determine the average annual precipitation by the Thiessen-mean method. Diameter: 100 km. Centre: (100, 100) Distance are in km Station Coordinates Precipitation (cm) 85.0 1 2 (30,80) (70, 100) 135.2 3 (100, 140) 95.3 4 (130, 100) 146.4 5 (100, 70) 102.2
(B)- For the area shown in the figure find the mean rainfall by Thiessen Polygon method if the value of the annual rainfall was given in the following table. Station Annual Rainfall (cm) P 110 Q 125 R 120 S 125 10 km ре R Q 10 km
In a catchment, there are four rain-gauge stations, P, Q, R, and S. Normal annual precipitation values at these stations are 780 mm, 850 mm, 920 mm and 980 mm respectively. In the year 2013, stations Q, R, and S, were operative but P was not. Using the normal ratio method, the precipitation at station P for the year 2013 has been established as 860 mm. If the observed precipitation at station Q and R for the year 2013 were 930 mm and 1010 mm, respectively; what was the observed precipitation (in mm) at station S for that year?