A catchment area has a rectangular shape with the following coordinates:(10,10), (10,50), (90,50) and (90,10). The coordinates of SIX rain gages andtheir average annual precipitations are given below. Find the averageprecipitation by using a.) Arithmetic Mean Method b.) Thiessen PolygonMethod.Sta. No.1346.Coord.(10,10)(30,30)(10,50)(60,50)(80,30)(60,10)Prec.1101001009585105(mm.)

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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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Q4: Following is shown map of catchment having 12 rainfall stations. Find the Average Precipitation over the whole Catchment. Solve the interior square by Isohyetal method and remaining with Theisen Polygon Method. Y Km x 4 Km Aineg = P,='45 mn 2 km x 2km Piy = lormm Pg 70mm Py.- 6omm Psz 65 mm Ps- 20mm Prz 75am
A. Given the following rainfall records and geometry in the table below, estimate the annual rainfall for the year 2021 at O'Donnell station using: 1. Simple Arithmetic Mean 2. Normal Ratio Method with b =2 3. Inverse Distance Method Eastings (X) Northings (Y) Distance from Annual Normal Rainfall for Barangay Muni/City [km] [km] O'Donnell Station Rainfall (mm) 2021 (mm) O'Donnell Capas 13409.119 1730.256 1850 ? Maamot San Jose 13392.483 1738.362 18.51 2000 1950 San Vicente Bamban 13401.769 1713.517 18.28 1978 1925 Villa Aglipay San Jose 13410.818 1743.839 13.69 1675 1700 Armenia Tarlac City 13419.368 1738.575 13.20 1780 1825
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
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
What will be rainfall intensity of 5 yr-rainfall of duration 1 hr. if following details are given : 5.82, x = 0.16; a = 0.4; n = 0.75 [1.40.75 1.287; 50.16 1.29] K = = =
EQUATIONS N, P+I-0-R-G -E-T= AS ΣΑ M N; E = «(e, - ea) [100-R E = C(e, – ea) |1+ E = ( 0.013 + 0.00016 U2) ea 100 TABLES TABLE Q2(b): Rainfall event Rainfall depth Rainfall depth (continue) (cm) 1.44 (cm) 0.21 5.22 0.34 0.36 4.21 1.36 0.39 0.74 0.29 0.63 0.37 0.11 0.45 0.63 0.72 0.06
Assuming a circular watershed with radius 900km has its center at the origin. The rain gauges are located at ARG1(0,600), ARG2(300, -519.615), and ARG3(-599.479, 25). Deter- mine the estimated aerial rainfall using Thiessen Polygon method. ARG1 = 5mm, ARG2 = 12mm, ARG3 = 15mm
A catchment is divided into three zones with area of each zone as 100 km²,3000 km² and 3000 km². Cumulative average rainfall (in mm) in different zones is given as: Time (hrs) 24680 10 Zone I 8 14 23 35 48 Zone II 5 11 18 28 40 Zone III 27228 12 21 30 Draw the maximum average depth vs. area plot for the duration of 2 hours, 4 hours and 6 hours.
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
Q4. (a) What do you mean by abstraction from precipitation? Which part of it is known as productive part and which part as loss? Differentiate between evaporation and vaporization. (b) Calculate areal average precipitation for the circular catchment below. There are three stations located along the periphery of the circle and AB=BD=R+20 Km and the angle ABD is a right angel. A 15mm B 20 mm D 30 mm
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
1. Find area precipitation by isohyetal method for a certain catchment area given the following data Isohyets, cm P 6.8 5 4 PS 3 12/2 P1.5 DEPARTMENT OF CIVIL ENGINEERING CCB 433 - Fluid Mechanics for Civil Engineers Tutorial 1 August 2022 0 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 Rainfall, mm 86.3 102.7 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 - B C D 108.9 154.2 78.3 10 0.18 20 97 213 410 602 633 100 1.65 +00 2+15 2 20 0.21 1975 30 0.26 120 130 0.26 110 0.81 0.52 6+5 2 P = A₁ Athal-1975 P₂ • (Pi+ P² ] + An [Po+Pr+ A₂ Atotal + (33 E 93.1 +97 140 0.42 2 150 0.36 5+4 70 80 0.64 1.14 160 170 0.28 0.19 + 213 413…

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