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Explain the Earthwork

Calculate the quantities of earthwork is cutting and banking for a portion of road with the following data:

Chainage(m) R.L of Ground level
0 0,135.6
30 133.8
60 133.5
90 135.3
120 135.8
150 136.2
180 136.3
210 136.5

Formation width of road is 10m. Formation level of at starting chainage is 135.5m. The road surface shall be given a falling gradient of 1 is 120. Side slope is cutting 1:1.5 and is banking 1:2

Mumbai University > CIVIL > Sem 7 > Quantity survey Estimation and valuation

Marks: 10 M

Year: Dec 2012

1 Answer
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$$A_{banking}=bh+sh^2=10h+2h^2$$

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$$A_{cut}=bh+sh^2=10h+1.5h^2$$

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$$\frac{1}{120}=\frac{x}{30} \\ \; x=0.25$$

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$\underline{\mathrm{Means \ \ area \ \ method}} \\ Volume = \frac{A_1+A_2}{2}×L= \frac{18.7+19.5}{2}×30=573 m^3$

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$\frac{x}{30-x}=\frac{0.1}{1.45} \\ \; x=1.935$ $\hspace{5cm}$ $\frac{x}{30-x}=\frac{1.5}{0.55} \\ \; x=21.95$

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