## Determine the soil shrinkage, Civil Engineering

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Soil at a borrow area has a total unit weight of 120-PCF and a water content of 15 percent.  The soil from the borrow area will be used as structural fill and compacted to an average dry unit weight of 110-PCF.  The soil shrinkage is most nearly:

Solution:

At the borrow area, the dry unit weight is determined from the equation:

Dry unit weight =    Total Unit Weight / (1 + water content)

Dry Unit Weight = 120 / (1 + 0.15) = 104-PCF

The shrinkage factor is the ratio of the volume of compacted material to the volume of borrows material (based on dry unit weight), or:

Shrinkage factor = 104-PCF / 110-PCF = 0.945

Convert the shrinkage factor to a percentage:

Percent shrinkage = (110 - 104) / 110 = 0.055 = 5.5%

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