The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5, 5), (-5, 5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by a number of rain gages situated within and nearby the basin as follows:   All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic-mean method, (b) the Thiessen method, and (c) the isohyetalmethod.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5, 5), (-5, 5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by a number of rain gages situated within and nearby the basin as follows:

 

All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic-mean method, (b) the Thiessen method, and (c) the isohyetalmethod.

Gage Number
Coordinates
Recorded Rainfall
(min)
63
(7,4)
(3,4)
2
59
3
(-2,5)
41
4
(-10,1)
(-3,-3)
(-7,-7)
(2.-3)
39
5
105
98
7
60
8
(2.-10)
(0.0)
41
81
Transcribed Image Text:Gage Number Coordinates Recorded Rainfall (min) 63 (7,4) (3,4) 2 59 3 (-2,5) 41 4 (-10,1) (-3,-3) (-7,-7) (2.-3) 39 5 105 98 7 60 8 (2.-10) (0.0) 41 81
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