3.4 A semicircle of diameter 20Km with an equilateral triangle of side 20Km below its diameter is a close approximation to a river basin. The position coordinates of 5 rain gauge stations A,B,C,D and E located within the basin with to a coordinate axes system whose x-axis and origin are coincident with diameter and center of the circle are (5,5), (-5,5),(-5,-5), (5,-5) and (0,0)Km respectively. If the rainfall recorded at these rain gauge are 85,92,77,80 and 105mm respectively. i)Determine the average depth of rainfall using Thiessen method. ii)lf the average depth of rainfall over the basin is to be estimated within 5%error, determine the optimum numbe of rain gauge stations to be established in the basin.
3.4 A semicircle of diameter 20Km with an equilateral triangle of side 20Km below its diameter is a close approximation to a river basin. The position coordinates of 5 rain gauge stations A,B,C,D and E located within the basin with to a coordinate axes system whose x-axis and origin are coincident with diameter and center of the circle are (5,5), (-5,5),(-5,-5), (5,-5) and (0,0)Km respectively. If the rainfall recorded at these rain gauge are 85,92,77,80 and 105mm respectively. i)Determine the average depth of rainfall using Thiessen method. ii)lf the average depth of rainfall over the basin is to be estimated within 5%error, determine the optimum numbe of rain gauge stations to be established in the basin.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3.4 A semicircle of diameter 20KM with an equilateral triangle of side 20OKM below its diameter
is a close approximation to a river basin. The position coordinates of 5 rain gauge stations
A,B,C,D and E located within the basin with to a coordinate axes system whose x-axis and
origin are coincident with diameter and center of the circle are (5,5), (-5,5),(-5,-5), (5,-5) and
(0,0)Km respectively. If the rainfall recorded at these rain gauge are 85,92,77,80 and 105mm
respectively.
i)Determine the average depth of rainfall using Thiessen method.
ii)If the average depth of rainfall over the basin is to be estimated within 5%error, determine the
optimum number of rain gauge stations to be established in the basin.
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