Ex (3): The following table shows the mean values of measured annual precipitation in 5 rain gauges located in a certain catchment. Determine the average rainfall by Thiessen method. Note: each square on the grid corresponds to a distance of 1 km. 1 2 3 4 Station Annual Precipitation (mm) P1 800 P2 600 P3 900 P4 400 PS 200

Ex (3): The following table shows the mean values of measured annual precipitation in 5 rain gauges located in a certain catchment. Determine the average rainfall by Thiessen method. Note: each square on the grid corresponds to a distance of 1 km. 1 2 3 4 Station Annual Precipitation (mm) P1 800 P2 600 P3 900 P4 400 PS 200

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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Probability, risk and uncertainty analysis for hydrological design

It gives a framework that is financially critical for finding the exceptional designs of hydrological systems with a reduced cost in total inclusive of the project cost and the disaster mitigation cost. But there would be hardly any assessment of a decent quality damage function. Hence, errors in demonstrating the hydrologic events, incorrect model parameters, and so on may occur. Here, we will discuss a specific hydrological design that of a detention basin for studying and understanding the risk-based procedure, uncertainties, and probability analysis by following a systematic framework.

Question

Ex (3): The following table shows the mean values of measured annual precipitation in 5 rain gauges
located in a certain catchment. Determine the average rainfall by Thiessen method.
Note: each square on the grid corresponds to a distance of 1 km.
1
2
15
Station
Annual Precipitation (mm)
P1
800
P2
600
P3
900
P4
400
PS
200

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28
Figure 2.2 shows a catchment with seven rain guage stations inside it and three stations outside. The rainfall recorded by each of these stations are indicated by the figure. Draw the figure to an enlarged scale and calculate the mean precipitation method by (a) Isohyetal method and by (b) Arithmetic-mean method.
Q3: In a catchment area, approximated by a rectangular of coordinates (50, 0), (100, 50), (50, 100), and (0, 50) km, four rainfall stations are situated inside the catchment. The coordinates of the stations and the annual precipitation recorded by the four stations in 2020 are given in Table below. Determine the average annual precipitation on the catchment using Thiessen-polygon method. Station Coordinate Precipitation (cm) 1 (50, 75) 85 2 (75, 50) 135 3 (50, 25) 95 4 (25, 50) 140
Please solve it again because previous solutions were wrong.
C PART ONLY
For the following precipitation data, compute the average precipitation by; The arithmetic mean average method Thiessen Polygon method
Direct runoff from a flood over a basin of area 50 hectare was observed as 25000 m³ during a storm. The equivalent depth of rain fall over the basin was 97 mm. The time distribution of the rain fall during the storm is given below. Determine the -index for the storm. Time (hr.) 0 1 2 3 4 5 5 6 7 Rainfall (mm) 0.0 6.0 11.0 34.0 28.0 12.0 6.0 0.0
14.
Determine the average precipitation
A catchment is idealized as a 25 km × 25 km square. It has five rain gauges, one at each corner and one at the centre, as shown in the figure. G₂ G₁ O G5 GA G3 During a month the precipitation at these gauges is measured as G₁ = 300 mm. G₂ = 285 mm, G₂ = 272 mm, G₂ = 290 mm and G5 = 288 mm. The average precipitation (in mm up to one decimal place) over the catchment during this month by using the Thiessen polygon method is