1709 3391 1 SM
1709 3391 1 SM
1709 3391 1 SM
• Soil Phases:
– Dry
– Saturated
– * Fully Saturated
– * Partially Saturated
– Submerged
SOIL PHASE RELATIONSHIPS
Soils can be of either two-phase or three-phase
composition. In a completely dry soil there are two
phases, namely the solid soil particles and pore air. A fully
saturated soil is also two phase, being composed of solid
soil particles and pore water. A partially saturated soil is
three phase, being composed of solid soil particles, pore
water and pore air.
Soil Phase
Weight
Wt = Ww + Ws
Volume
Vt = Vv + Vs = Va + Vw + Vs
Soil Volume Soil Weight
Wa ≈ 0, equal :
T
T
VOLUME RELATIONSHIP
1. Void ratio = e 0<e<~
0≤n≤1
2. porosity = n (%)
3. e & n
WEIGHT & VOLUME RELATIONSHIP
4. Water content= w
0< w<~
6. Spesific Gravity = Gs
7. Unit Weight = g
RELATION of g ; e ; w ; Gs
1. Spesific Gravity (Gs)
V s = 1,then gs = Ws
Ww = w x Ws Ww = w x Gs x gw
if Ww = w x Gs x gw Then
Vw = w x Gs
V s = 1, then so
Relation Between g ; n ; and w
To make the relation between g , n dan w , we use the assumption that VT
(volume total) = 1
V T = 1, then
4. Degree of Saturation (SR)
Relation Between g ; n ; and w
To make the relation between g , n dan w , we use the assumption that VT
(volume total) = 1
V T = 1, then
• In which
We know that:
Then
In saturated condition:
Where
And so the Degree of Saturation can be defined as:
Example 1:
•In its natural state, a moist soil has a total volume of 9344.56 cm3 and a
mass 18.11 kg. The oven-dry mass of soil is 15.67 kg. If Gs = 2.67, calculate
the moisture content
Example 2
Method 1a
Example 2
Method 1a
Method 1b
Method 2:
Given : w = 9.8% , g = 19.2 kN/m3, Gs = 2.69
required: gd , e, n, S
assume Ws =1 kN Air
0.01931
W 1 Vv 0.01931
gd = s = = 17.48 kN/m 3 n= = 100 = 33.76%
Vt 0.0572 Vt 0.0572
V 0.01931 Vw 0.00998
e= V = = 0.51 kN/m 3 S= = 100 = 51.68%
VS 0.03789 Vv 0.01931
Example 3
• Field density testing (e.g., sand replacement method) has shown bulk
density of a compacted road base to be 2.06 t/m3 with a water content of
11.6%. Specific gravity of the soil grains is 2.69. Calculate the dry density,
porosity, void ratio and degree of saturation.
Relative Density
The relative density is the parameter that compare the volume
reduction achieved from compaction to the maximum possible
volume reduction
The relative density Dr, also called density index is commonly used
to indicate the IN SITU denseness or looseness of granular soil.
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Remarks