If B is the width of formation, d is the height of embankment and s ∶ 1 is side slope for a highway with no transverse slope, the cross-sectional area is

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APSC JE Civil 14 Jul 2024 Official Paper
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  1. B + d + sd
  2. Bd + sd2
  3. \(\frac{1}{2}\)(B + sd2)
  4. \(\frac{1}{2}\)(Bd + sd2)

Answer (Detailed Solution Below)

Option 2 : Bd + sd2
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Detailed Solution

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Explanation:

Given,

B = Formation width

d = Height of the embankment

S:1 = Side slope of the embankment (H: V)

873

The area of embankment = The area of the trapezium

Area of Trapezium = \(\frac{1}{2}\) × (Sum of Lengths of parallel sides) × Height

Area of Embankment \(= \frac{1}{2}\left[ {B + \left( {B + 2sd} \right)} \right] \times d\)

A = Bd + sd2
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