Question
Download Solution PDFDetermine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 ∶ 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Volume of Sloped earthwork (V) = (bd + sd2) × L
Where, B = Width, d = Depth and S = Side slope of the cross-section
Calculation:
Given,
slope = s: 1 = 3: 1
b = 10 m
L = 120 m
d1 = 1.5 m and d2 = 1 m
Volume of Sloped earthwork (V) = (bd + sd2) × L
\(V = \;\frac{1}{2}\left[ {(b{d_1}\; + {\rm{ }}s{d_1}^2) + (b{d_2}\; + {\rm{ }}s{d_2}^2)} \right] \times 120\)
\(V = \;\frac{1}{2}\left[ {(10 \times 1.5\; + {\rm{ }}3 \times {1.5^2}) + (10 \times 1\; + {\rm{ }}3 \times {{1}^2})} \right] \times 120 = 2085{m^3}\)
The approximate quantity of earthwork = 2085 m3
Last updated on May 28, 2025
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