3: A semicircle of diameter 20 km with an equilateral triangle of side 20 km 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 %- 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 gauges are 85, 92, 77,80 and 105 mm respectively. i) Determine the average depth of rainfall using Thiessen method. ii) If station A failed to report the rainfall during a storm, and the storm rainfalls recorded at four surrounding gauges B, C, D, and E are 96, 70, 84 and 100 mm respectively, Determine the missing rainfall at station A.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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: A semicircle of diameter 20 km with an equilateral triangle of side 20 km 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 %-
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 gauges are 85, 92,
77,80 and 105 mm respectively.
i) Determine the average depth of rainfall using Thiessen method.
ii) If station A failed to report the rainfall during a storm, and the storm rainfalls recorded
at four surrounding gauges B, C, D, and E are 96, 70, 84 and 100 mm respectively,
Determine the missing rainfall at station A.
Transcribed Image Text:: A semicircle of diameter 20 km with an equilateral triangle of side 20 km 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 %- 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 gauges are 85, 92, 77,80 and 105 mm respectively. i) Determine the average depth of rainfall using Thiessen method. ii) If station A failed to report the rainfall during a storm, and the storm rainfalls recorded at four surrounding gauges B, C, D, and E are 96, 70, 84 and 100 mm respectively, Determine the missing rainfall at station A.
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