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

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


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Tags: Area Earthwork Surveying