DHARMCOMPRESSIBILITY AND CONSOLIDATION OF SOILS 241Example 7.2: A sand fill compacted to a bulk density of 18.84 kN/m^3 is to be placed on a
compressible saturated marsh deposit 3.5 m thick. The height of the sand fill is to be 3 m. If the
volume compressibility mv of the deposit is 7 × 10–4 m^2 /kN, estimate the final settlement of the
fill. (S.V.U.—B.E., (N.R.)—March-April, 1966)
Ht. of sand fill = 3 m
Bulk unit weight of fill = 18.84 kN/m^3
Increment of the pressure on top of marsh deposit ∆σ = 3 × 18.84
= 56.52 kN/m^2
Thickness of marsh deposit, H 0 = 3.5 m
Volume compressibility mv = 7 × 10–4 m^2 /kN
Final settlement of the marsh deposit, ∆H
= mv.H 0 .∆σ
= 7 × 10–4 × 3500 × 56.52 mm
= 138.5 mm.
Example 7.3: The following results were obtained from a consolidation test:
Initial height of sample Hi = 2.5 cm
Height of solid particles Hs = 1.25 cmPressure in kN/m^2 Dial reading in cm0 0.00013 0.00027 0.00454 0.016108 0.044214 0.104480 0.218960 0.3401500 0.420Plot the pressure-void ratio curve and determine (a) the compression index and (b) the
preconsolidation pressure. (S.V.U.—B.E., (R.R.)—Dec., 1968)
Initial void ratio, e 0 =()(.. )
..
.HH
His
s−
−−
=250 125
125125
125 = 1.000