Using a rainfall of 386 mm for rain gauge Station D, determine the average depth of rainfall that fell for the watershed using the arithmetic average, and Thiessen polygon method. The areas for the Thiessen polygon method are given in the table above for each station. Determine the average depth of rainfall for a watershed using the isohyetal method given the data below. Isohyet (mm) Area Associated (km²) 30 - 40 20 20 - 30 45 10 - 20 35 under 10

Using a rainfall of 386 mm for rain gauge Station D, determine the average depth of rainfall that fell for the watershed using the arithmetic average, and Thiessen polygon method. The areas for the Thiessen polygon method are given in the table above for each station. Determine the average depth of rainfall for a watershed using the isohyetal method given the data below. Isohyet (mm) Area Associated (km²) 30 - 40 20 20 - 30 45 10 - 20 35 under 10

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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Problem 4: Use the following table to determine the areal average rainfall using (1) Arithmetic-mean method Area Rainfall represented by station (mi?) Station depth (in) 3.1 4.2 4.5 5.1 5.5 3.5 3.2 5.5 4.3 4.8 m4534 ABCDE
A watershed covering 28.16 mi2 has a system of seven rainfall gages, as shown on the map in the Figure. Using the total storm rainfall depths given in the accompanying table, determine the average rainfall over the watershed using: (a) arithmetic averaging and (b) the Thiessen polygon method. Gage ABCDEFG А с P₁ (in.) 5.13 6.74 9.00 6.01 5.56 4.98 4.55 A₁ (mi²) 1.74 6.70 1.77 13.02 0.83 2.68 1.42 28.16 B. . E 1 in. = 3.9 mi .F . G
4. Rainfall values observed at different points on a watershed (12.5 km?) are shown in Figure 4.14. Compute the mean rainfall using the Thiessen method. 80 tog 105 11 90 I 10 12 13 Scale: 0.5 1.0 km FIGURE 4.14 Thiessen polygon method for computing the mean areal rainfall for Problem 4. 1.5842 0.1697 1.4208 0.9565 1.3765 1.2288 1.6282 0.9001 7 1.8949 0.3467 0.4347 10 0.1961 0.3617 12 13 Scale: 00.5 1.0km
4. A catchment has seven rain gauge stations. In a year, the annual rainfall recorded by the gauges are 130, 142.1, 181.2, 108.5, 165.2, 102.7 and 146.9 cm respectively. Consider a 5% error in estimation of the mean rainfall. a. Calculate the minimum number of additional stations required to be established in the catchment. b. Calculate the total number of stations required.
The annual rainfall at the rain-gauge stations with the catchment area of 10km are indicated below. Thiessen polygon measured are also shown in the table below. Stations Recorded rainfall(P1)(cm) Area of polygon(ai)(km2) A 8.8 570 B 7.6 920 C 10.8 720 D 9.2 620 E 13.8 520 F 10.4 550 G 8.5 400 H 10.5 650 I 11.2 500 J 9.5 350 K 7.8 520 L 5.2 250 M 5.6 350 1. Describe mean rainfall over the area using Thiessen polygon method and Compare Thiessen polygon method with arithmetic mean method.
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 watershed has five non-recording rain gauges, installed in its area. The amount of rainfall recorded for one of the years is given below: Rain gauge station | || ||| IV V Annual rainfall in cm 100 120 190 95 125 Find the required optimum number of non-recording and recording rain gauges for this watershed. Assume an error of 10% in the estimation of mean rainfall.
Using Thiesen Polygon Method, find average rainfall over a catchment. The datas are: Rain Gauge Station A B C D E Polygon Area (km²) 40 45 38 30 43 Precipitation (mm) 30.8 33.4 34.6 32.6 24.6
A: Determine the average precipitation depth using isohvetal method within the basin for a certain catchment area given the following data? Isohyetal ( in) 6.8 6. 2 1.5 5 4 3. Area (sq. mile) 20 97 213 410 602 633
Q1. Using the data given, estimate precipitation depth that has fallen on the entire watershed. Precipitation (mm) Polygon Thiessen area (cm2) Station A 20 112.25 13 53.5 C 18.3 120.0 12.5 62.5 E 10 119.0 F 5.8 144.0 G 6.7 72.0 14.8 130.0 13.9 62.5 11 85.0 K 5.5 110.0 3.7 40.0 WE PRODUCE PROFESSIONALS With Wisdom, W6 EY82re GUTHM Q2. Lines delineating a particular measurement are drawn within the watershed. Precipitation data and the area in between each isohyet are shown in the table below. Estimate the average precipitation within this watershed. Isohyetal line (cm) Area (cm?) 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90-100 32 162 155 92 228 120 65
A-One of four monthly reading rain gages on a catchment area develops a fault in a month when the other three gages record, respectively (37, 43, 51)mm. If the average annual precipitation of these three gages are (726, 752, 840) mm, respectively and (694mm) of the broken gage. Estimate the missing monthly precipitation at the later station. B-On a certain river, the following data obtained by stream gage: Water stage(m) Flow rate(cumecs) Main staff Auxiliary staff 122 121.5 400 122 120.5 680 Estimate the flow rate when the main staff read (122m) and the auxiliary staff read (121.1m)? C-The following table represents the relation between the recorded discharges and the water levels. Estimate the following relation and find Q when H=15m. Q=a (H-2) b 10 20 40 100 Q(m³/s) H(m) 5 7 9 10
:A-Explain the following briefly Two only. 1-The methods of determination of average precipitation over an area. 2-What are the factors affecting flood Hydrograph? 3-What are the basic assumptions for deriving the unconfined aquifer equations? B: The normal annual precipitation of five rain gauges stations P, Q, R, S and T are 120, 100, 80, 110, and 140 cm respectively. During a particular storm the precipitation recorded by stations P, Q, R, and S are 15, 10, 7, and 11 respectively, the instrument at station T was inoperative during the storm. Estimate the rainfall at station T during the storm.