F (60cm) 20 km A(46cm) D(80cm) E (70cm) 20 km B(65cm) C(76cm)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The area shown in Fig. below is composed of a square plus an equilateral triangular plot of side 20 m. The annual precipitations at the rain-gauge stations located at the four corners and center of the square plot and apex of the triangular plot are indicated in the figure.

- Estimate the mean precipitation (cm) over the area by Thiessen polygon method.

- Estimate the mean precipitation (cm) over the area by arithmatic mean method.

- Calculate the percentage variation between these two methods considering the Thiessen polygon value as the base value.

Write your answers correct to two decimal places

F
(60cm)
20 km
A(46cm)
D(80cm)
E
(70cm)
20 km
B(65cm)
C(76cm)
Transcribed Image Text:F (60cm) 20 km A(46cm) D(80cm) E (70cm) 20 km B(65cm) C(76cm)
Expert Solution
Step 1

First the weighted area is used to calculate the precipitation  from  theissen polygon method and then average method is used.

Weighted area is calculated by joining station to form network of traingles and perpendicular is drawn from centre of these triangle

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