Void ratio and dry density of a soil, Civil Engineering

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Q. Define water content, void ratio and dry density of a soil. If wet density of a soil is 1.9 gm per cm at a moisture content of 24%, what will be its dry density?

 Ans.- Water Content - The water content w also called the moisture content is defined as the ratio of weight of water ww to the weight of solids wd in a given mass of soil.

              w = ww  / wd  x 100

            The water content is generally expressed as a percentage.

Void ratio - Void ratio e of a given soil sample is the ratio of the volume of voids to the volume of soil solids in the given soil mass.

            Thus   e = vv / vs  ,    vv  = Volume of voids.  vs = Volume of soil solids.

Dry Density - The dry density γd  or the dry unit weight is the weight of solids per unit of total volume ( Prior to drying ) of the soil mass.

                 gd  = Wd / V.   or γd   = g / (1 + w)

Solution :  Given -  Wet density of a soil γ  = 1.9 gm /cm2  

                Moisture content w = 24% = 0.24

                 Dry density γd   = g / (1 + w) =  1.9 / 1 + 0.24 = 1.9 / 1.24 = 1.53 gm / cm Ans.


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