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 |
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| \( A_c \;=\; \frac{ 1 }{ 2 } \cdot \sum_{i = 1}^n \cdot x \cdot ( y_{i + 1} - y_{i - 1} ) \) | ||
| 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 | \(dimensionless\) | \(dimensionless\) |
