Earthwork Cross-section Area

on . Posted in Civil Engineering

Earthwork cross-sectional area is the area of a slice or section through the earth perpendicular to a specified alignment.  In civil engineering and construction, particularly in road construction or excavation projects, earthwork involves moving and shaping large quantities of soil and rock.  The cross-sectional area is a parameter in earthwork calculations, and it is often used to determine the volume of earth to be excavated or filled.

 

Earthwork Cross-Section Area formula

\( A_c =  \frac{ 1 }{ 2 }  \;  \sum_{i = 1}^n \; x \; ( y_{i + 1} \;-\; y_{i - 1}  )  \) 
Symbol English Metric
\( A_c \) = area cross-section  \(ft^2\) \(m^2\) 
\( x_i \) = horizontal axis \(ft\) \(m\)
\( y_i \) = vertical axis \(ft\) \(m\)
\( n \) = number of points on cross-section \(dimensionless\)

 

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Tags: Area Earthwork Surveying