Question
Download Solution PDFA road embankment with cross-sectional area of 100 m2 is constructed with an average gradient of 1 in 50 from contour 200 m to 250 m. Find the volume of the earth work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Cross-sectional area of the embankment, A= 100 m2
Average gradient of the road (m) = 1 in 50
Difference in contour elevation, \(h = 250 - 200 = 50 \, \text{m} \)
Calculation of Horizontal Distance ( L):
\(L = \frac{h}{m} = \frac{50}{\frac{1}{50}} = 2500 \, \text{m} \)
Calculation of Volume of Earthwork (V):
V= Cross-sectional area x Horizontal length
\(\\ V = 100 \, \text{m}^2 \times 2500 \, \text{m} = 250000 \, \text{m}^3 \)
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