A moist soil has a moisture content of 12.5 percent, weighs 43.2 lb, and occupies a volume of 0.35 ft3. The specific gravity of the soil particles is 2.6. Find: (a) bulk density, (b) dry density, (c) void ratio, (d) porosity, (e) degree of saturation, and (f) volume occupied by water (ft3).
What will be an ideal response?
(a) Solve for the bulk density, using Equation 17.9.
? = W / V
? = 43.2 lb / 0.35 ft3
? = 123.4 lb/ft3
(b) Solve for the dry density, using Equation 17.11.
?d = ? / (1 + w)
?d = 123.4 / (1 + 0.125)
?d = 109.7 lb/ft3
(c) Solve for void ratio, e, using Equation 17.13.
e = [((1 + w) (Gs)(?w)) / ?] – 1
e = [((1 + 0.125) (2.6) (62.4)) / 123.4] – 1
e = 0.479
(d) Solve for porosity, n, using Equation 17.4.
n = e / (1 + e)
n = 0.479 / (1 + 0.479)
n = 0.324
(e) Compute the degree of saturation, S.
S = Vw / Vv = (w)(Gs) / e
S = (0.125)(2.6) / 0.479
S = 0.678 = 67.8%
(f) Determine the volume occupied by water, using Equation 17.7.
w = Ww / Ws
Ww = (w/(1 + w)) W
Ww = (0.125/1.125)(43.2) = 4.80 lb
Vw = Ww / ?w = (4.80 lb)/(62.4 lb/ft3)
Vw = 0.0769 ft3
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