SSC JE Civil Engineering 30-Oct-2020 Shift 1 Paper

Question : 126 of 200

Marks: +1, -0

Determine 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.

1785 m $^{3}$
1485 m $^{3}$
1885 m $^{3}$
2085 m $^{3}$

Validate

Solution:

Given,
slope

= \s: 1 = 3: 1

b = 10 m
L = 120 m

\d_1 = 1.5 \m

and

\d_2 = 1 \m

Volume of Sloped earthwork

(\V)

= (\bd + \sd^2) × \L

\V={1}/{2}[(\bd_{1}+\sd_{1}^{2})+(\bd_{2}+\sd_{2}^{2})] ×120

{\V}={1}/{2}[(10 ×1.5+3 ×1.5^{2})+(10 ×1+3 ×1^{2})] × 120=2085 {\m}^{3}

The approximate quantity of earthwork

=2085 {\m}^{3}

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