5. In a certain river basin, there are six rain-gauge stations, the normal annual rainfalldepths at the stations being 42.4, 53.6, 67.8, 78.5, 82.7, and 95.5 cm, respectively.Determine the optimum number of rain-gauge stations to be established in the basin ifit is desired to limit the error in the mean value of rainfall over the catchment to 10%and indicate how you distribute them.

Answered: Image /qna-images/answer/71e703be-0d32-4929-9cc7-49606a59ad55.jpg

Answered: 5. In a certain river basin, there are…

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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Tutorial 4 Question 1 Based on the given annual rainfall data and the Weibull distribution, 1. develop and plot the relationship between annual rainfall and the frequency, 2. calculate the rainfall intensity with a 10-years return period, 3. calculate the exceedance probability of an event of 125 mm and 4. estimate the design rainfall for a 100-years return period. Year 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 P (mm) 70 121 92 66 74 95 06 91 90 90 | 82 96 Year 1992 1993 1994 1995 1996 997 1998 1999 2000 2001 2002 2003 2004 P (mm) 110 115 100 88 80 87 80 72 103 99 97 98
Q2. (a) A catchment area has 5 rain gauge stations with annual recorded data for in Table Q2-1. year 2010 (i) Determine the standard error in the estimation of mean rainfall. (ii) Calculate the optimum number of rain gauge for a 10% error of mean rainfall. (6 marks) (2 marks) (iii) In year 2020, mean rainfall data is obtained with 1100mm for station A, 950mm for station B, 1250mm for station C, 1150mm for station D, but station E is inoperative. (2 marks) Estimate the mean rainfall in station E by using normal ratio method.
Monthly point rainfalls due to a storm at rain-gauge stations A, B, C, D and E in a Waterval basin are shown in Fig. 3. Suppose the station D was not in operative for long period of time. The recorded annual rainfalls for stations A, B, C and E are 91.7, 76.2, 82.5 and 66.8 mm, respectively. 4.1. Calculate the scale of the map 4.2. Determine the average areal depth of rainfall over the basin using the: (a) Arithmetic Mean method (b) Theison Polygon Method 4.3. Estimate the annual rainfall at station D using: (a) Comparison Method (b) Normal Ratio Method km 60 C 7.2 mm 40 B 6.8 mm 75mm 20 0 Figure 3 D 7.8 mm E 6.8 mm (km)
Calculate and show full solutions.
1. Point rainfalls due to a storm at several rain-gauge stations in a basin are shown in Fig. 1. Determine the mean areal depth of rainfall over the basin by the isohyetal method. Zone I II III IV V VI Aren of bnain 6 cm Isohyetals. 5.5 cm VI 6 cm Ⓒ 7.3 cm O III 8 cm do 9.6 cm 10 cm 7.1 cm 8.9 cm 8.9 cm Ⓒ IV Fig. 1 Area (km²) 6 cm 56 192 420 244 44 58 1014 km² 7.6 cm III 5.1 cm 7.2 cm 8 cm 4 cm Ⓒ-Rain gauge stations 5.2 cm II -6 cm Basin boundary Ⓒ3.6 cm 5.6 cm 4 cm
Question: Four rain gauge stations A, B, C, and D in a catchment area have a recorded 10, 15, 20 and 25 cm respectively. If their Thiessen weights at stations A, B, and C are 0.1, 0.2, 0.3 respectively, the average depth of rainfall on the catchment is
4. In year 1996 the annual rainfall recorded the rain gauges are as follows: Station A N Rainfall 130.0 142.1 118.2 108.5 165.2 102.1 146.9 (cm) For a 5% error in the estimation of the mean rainfall, calculate the minimum number of additional stations required to be established in the catchment.
A catchment has seven rain gauge station. In a year, the annual rainfall recorded by the gauges are as follows: Station R U V Rainfall 130.0 142.1 118.2 108.5 165.2 102.1 146.9 (cm) For a 5% error in estimation of the mean rainfall, calculate the minimum number of additional station required to be established in the catchment. (Ans. 5)
a) Draw Thiessen polygons on the catchment shown below. If the rainfall depths recorded by Gauge A, B, and C are 19mm, 8mm, and 9mm and the corresponding polygon areas are 5.1 km2, 3.2km2, and 5.3 km2, estimate the catchment average rainfall depth and the total volume of water from this rainfall event. b) Based on the data, sketch 5mm, 10mm, 15mm,20mm isohyets apporixmately. B
The exceedance series of 30-min duration rainfall values has a mean of 28 mm and standard deviation of 8.71 mm. Determine the 100-year 30-min duration rainfall value assuming the rainfall distribution follows Gumbel (extreme value type I) distribution.
6- Maximum annual rainfall depth data are fitted with a distribution that is positively skewed (i.e., it has a longer tail to the right). If the mean value for the distribution is 4.22 in, then the rainfall depth with return period 2 years will be (use the next page table): (5 p) (A) Strictly less than 4.22 in (B) Equal to 4.22 in (C) Strictly larger than 4.22 in (D) None of the above
Monthly point rainfalls due to a storm at rain-gauge stations A, B, C, D and E in a Waterval basin are shown in Fig. 1. Suppose the station B was not in operative for long period of time. The recorded annual rainfalls for stations A, C, D and E are 71.5, 66.5, 72.4 and 56.8 mm. respectively. 2.1. Determine the average areal depth of rainfall over the basin using the:_ (a) Arithmetic Mean Method: (b) Theison Polygon Method 2.2. Estimate the annual rainfall at station B using: (a) Comparison Method: (b) Normal Ratio Method

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