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Project specifications require a relative compaction of 95% (modified Proctor). Construction of a highway embankment requires 10,000-yd3 of fill. The borrow soil has an in-situ dry density of 94-PCF and a laboratory maximum dry density of 122.5-PCF. The total volume of soil that must be excavated from the borrow area is most nearly:
Solution: The most common method of assessing the quality of field compaction is to calculate the Relative Compaction (RC) of the fill, defined as:
RC = 100 * (field dry density, PCF) / Laboratory maximum dry density (PCF)
Apply the equation using the given data:
RC = 100 x 94-PCF / 122.5-PCF = 76.73%
Calculate the required volume of soil that must be excavated from the borrow area:
(Required Fill) x (Compaction %) x (Relative Compaction)-1 = Excavated Volume (borrow)
10,000-yd3 of fill x (95%) x (76.73%)-1 = 12,380-yd3
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