Which of the following formulas explains the calculation of area of earthwork using its mean depth?

Area = BD + SD2

Where, B = Breadth of section

D = Mean depth of section

SD = Areas of sides 

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SSC JE Civil 16 Nov 2022 Shift 1 Official Paper
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  1. Average area formula
  2.  Prismoidal formula
  3. Trapezoidal formula
  4. Mid-section formula

Answer (Detailed Solution Below)

Option 4 : Mid-section formula
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Explanation:

Methods for measurement of earthwork:

1. Mid Section method  2. Trapezoidal Method  3. Prismoidal Method  4. Simpson's 3/8th rule

Mid Section Method:

In this method the quantity of earthwork is computed with the help of size of mid section.

Area of earthwork \(= \frac{1}{2}\left\{B+\left ( B+2SD \right ) \right\}\times D = BD+SD^{2}\) 

Volume of earthwork \(= Area\times Length=\left\{BD+SD^{2} \right\} \times L \)

F1 SSC  Priyas 14 5 24 D3

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