Buoyant Unit Weight Equals the Saturated Density

Answer: D. Minus unit weight of water

Buoyant unit weight equals the saturated density minus unit weight of water.

Solution

Buoyant unit weight is also known as the Submerged unit weight. Buoyant unit weight is the ratio of submerged weight to the volume of soil mass.

Saturated unit weight is the ratio of weight of the soil mass when it is fully saturated to the volume of the soil mass. Buoyant unit weight equals the Saturated Density minus unit weight of water.

Saturated Unit Weight 

                                   γ_sat= [W_S+ W_W(sat)]/V

Submerged Unit Weight                 

                                  γ_sub= [W_S+ W_W(sat)-Vγ_w]/V

                                   γ_sub=γ_sat–γ_w 

Where             

γ_sat = Saturated Unit Weight

γ_sub = Submerged Unit Weight

W_S = Weight of Soil Solids

W_W(sat) = Weight of Water in Saturated Condition

V = Volume of Soil Mass

γ_w = Unit Weight of Water

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