"a soil sample with a grain specific gravity of 2.67 was filled in a 1000 ml container in the loosest possible state and the dry weight of the sample was found to be 14.75 n. it was then filled at the densest state obtainable and the weight was found to be 17.70 n. the void ratio of the soil in the natural state was 0.63. determine the density index in the natural state."
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Given:- G=2.67, e=0.63
V=1000mL
mloose=1475gm
mcompcat=1770gm
sd(min)=14751000=1.475g/cm3
sd(min)=6.Pw/1+emax, emax=0.81
sd(max)=17701000=1.77g/cm3
emin=Gsw(sd)max−1=0.508
IDemax−eemax−emin
0.81−0.630.81−0.508
ID=0.596
ID=59.6%
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