Buoyant Unit Weight Equals the Saturated Density

By Aina Parasher|Updated : July 26th, 2022

Buoyant Unit Weight equals the Saturated Density

  1. Multiplied by the unit weight of water
  2. Divide by the unit weight of water
  3. Plus the unit weight of water
  4. Minus unit weight of water

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 

                                   γsat= [WS+ WW(sat)]/V

Submerged Unit Weight                 

                                  γsub= [WS+ WW(sat)-Vγw]/V

                                   γsub=γsat-γw 

Where             

γsat = Saturated Unit Weight

γsub = Submerged Unit Weight

WS = Weight of Soil Solids

WW(sat) = Weight of Water in Saturated Condition

V = Volume of Soil Mass

γw = Unit Weight of Water

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