Earthwork Cross-section Area
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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\(\large{ A_c = \frac{ 1 }{ 2 } \; \sum_{i = 1}^n \; x \; \left( y_{i + 1} \;-\; y_{i - 1} \right) }\) | ||
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 | \(\large{dimensionless}\) |