In the highway construction in PLUS Berhad at Senawang R&R, a distance, x (m) of rough ground is planned to be removed. The cross-sectional area, A depends on the height, of the soil above the datum line of the road as in Table Q2(b). This relationship is given by A-(2h+10). Distance, x (m) Height, h (m) Area, A Table Q2(b): Cross-sectional area versus distance 0 200 400 600 800 1000 1200 1400 1600 1800 2000 0.0 3.0 7.0 6.3 1.3 -2.6 -1.3 1.7 2.8 -0.5 0.0 0.0 48.0 168.0 142.4 16.4 -39.5 -16.4 22.8 43.7 -5.5 0.0 Determine the net volume of earth removed during the road construction using an appropriate Simpson's rule from 0 m to 2.0 km, where

Structural Analysis
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Author:KASSIMALI, Aslam.
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(b)
In the highway construction in PLUS Berhad at Senawang R&R, a distance, x (m) of
rough ground is planned to be removed. The cross-sectional area, A depends on the
height, h of the soil above the datum line of the road as in Table Q2(b). This
relationship is given by A=(2h + 10).
Distance,
x (m)
Height, h
(m)
Area, A
(m²)
Table Q2(b): Cross-sectional area versus distance
0 200 400 600
800 1000 1200 1400 1600 1800 2000
0.0 3.0 7.0
6.3 1.3 -2.6 -1.3 1.7
2.8 -0.5 0.0
0.0 48.0 168.0 142.4 16.4 -39.5 -16.4 22.8 43.7 -5.5
Determine the net volume of earth removed during the road construction using an appropriate
Simpson's rule from 0 m to 2.0 km, where
-2,000
V=
-1²°
0.0
A(x)dx
Transcribed Image Text:(b) In the highway construction in PLUS Berhad at Senawang R&R, a distance, x (m) of rough ground is planned to be removed. The cross-sectional area, A depends on the height, h of the soil above the datum line of the road as in Table Q2(b). This relationship is given by A=(2h + 10). Distance, x (m) Height, h (m) Area, A (m²) Table Q2(b): Cross-sectional area versus distance 0 200 400 600 800 1000 1200 1400 1600 1800 2000 0.0 3.0 7.0 6.3 1.3 -2.6 -1.3 1.7 2.8 -0.5 0.0 0.0 48.0 168.0 142.4 16.4 -39.5 -16.4 22.8 43.7 -5.5 Determine the net volume of earth removed during the road construction using an appropriate Simpson's rule from 0 m to 2.0 km, where -2,000 V= -1²° 0.0 A(x)dx
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