DHARM
444 GEOTECHNICAL ENGINEERING
Since γd =
G
e
G
wG
s
w
s
. ww
()
. ..
.
,
γγ
(^11)
265 981
1
+^265
F +
HG
I
KJ
= ×
- F ×
HG
I
KJ
for Zero air-voids condition, γd =
265 981
1 265
100
..
.
× ,
F + ×
HG
I
KJ
w
w being in %,
and for Ten per cent air-voids condition, γd =
265 981
1 265
90
..
.
× ,
F + ×
HG
I
KJ
w
w being in %.
From these equations, the following values are computed:
Dry density γd (kN/m^3 )
Water content (% w) Zero air-voids condition Ten per cen air content
condition (90% saturation)
8 21.45 21.04
10 20.55 20.10
12 19.73 19.20
13 19.34 18.80
14 18.96 18.40
16 18.26 17.66
The moisture-dry density curve and the zero air-voids and ten per cent air-voids lines
are shown in Fig. 12.12.
21
20
19
18
Dry density,
kN/m
gd
3
10 12 14 16
10% Air content line
(90% saturation line)
Zero air-voids line
(saturation line)
Compaction
curve
Water content, w%
Fig. 12.12 Compaction curve and saturation lines (Ex. 12.6)