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The following calculations are used in this test:
Initial Water Content
w = [(Mw - Md) / (Md - Mc)] * 100
where,
w = Initial water content
Mw = Mass of coated dish and wet soil
Md = Mass of coated dish and dry soil
Mc = Mass of coated dish
Dry Soil Volume
V0 = (Msp - Mbsp) - [Msp - (Md - Mc)] / γw
where,
V0 = Dry soil volume
Msp = Mass of soil and wax
Mbsp = Mass of buoyant soil and wax
γw = Unit wax mass
Shrinkage Limit
SL = w -100 * (V - V0) * ρw / (Md - Mc)
where,
SL = Shrinkage limit
V = Volume of wet soil
ρw = Density of water (1.0 g/cm3)
Shrinkage Ratio
R = (Md - Mc) / (V0 * ρw)
where,
R = Shrinkage ratio
Linear Shrinkage
LS = 100 * [1 - (V0 / V) 1/3]
where,
LS = Linear shrinkage