& A straight and level road, 200 m long and 8 m wide, is to be constructed by making a vertical cut through a hill (as shown in the figures below). Heights of the hill above the centerline of the proposed road, as obtained at various points from a contour map of the region, are shown in the following table: Distance, x, (m) 0 10 25 35 45 55 80 105 124 143 162 181 200 0 2.3 2.5 4.1 5.9 7.5 9 10 8.8 5.4 4.4 2.8 Height, h, (m) Estimate, as accurate as possible, the volume of earth that must be removed. (Assume that the height of the hill does not vary between the centerline and edges of the road)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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& A straight and level road, 200 m long and 8 m wide, is to be constructed by
making a vertical cut through a hill (as shown in the figures below). Heights of
the hill above the centerline of the proposed road, as obtained at various points
from a contour map of the region, are shown in the following table:
Distance, x, (m) 0 10 25 35 45 55 80 105 124 143 162 181 200
10 8.8 5.4 4.4 2.8
Height, h, (m)
02.3 2.5 4.1 5.9 7.5 9
Estimate, as accurate as possible, the volume of earth that must be removed.
(Assume that the height of the hill does not vary between the centerline and
edges of the road)
200 m
200 m
8 m e
hill
Longitudinal section
Transverse section
Transcribed Image Text:& A straight and level road, 200 m long and 8 m wide, is to be constructed by making a vertical cut through a hill (as shown in the figures below). Heights of the hill above the centerline of the proposed road, as obtained at various points from a contour map of the region, are shown in the following table: Distance, x, (m) 0 10 25 35 45 55 80 105 124 143 162 181 200 10 8.8 5.4 4.4 2.8 Height, h, (m) 02.3 2.5 4.1 5.9 7.5 9 Estimate, as accurate as possible, the volume of earth that must be removed. (Assume that the height of the hill does not vary between the centerline and edges of the road) 200 m 200 m 8 m e hill Longitudinal section Transverse section
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