The document defines the shrinkage limit of cohesive soils as the water content at which further moisture loss will not cause a decrease in volume. It describes the ASTM test method for determining the shrinkage limit, which involves measuring the mass and volume of a soil sample before and after drying to calculate the water content at which shrinkage ceases. The shrinkage limit is the point where the soil phase changes from a saturated solid to an unsaturated solid on the soil-water phase diagram.
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Shrinkage limit
1. SHRINKAGE LIMIT
(ASTM-2007 TEST DESIGNATION-
D247)
Volume
of
soil
Moisture content
LL
PL
SL
Definition:
The shrinkage limit of cohesive soils is defined as the water
content at which further loss of moisture will not cause a decrease
in volume.
2. SHRINKAGE LIMIT
(ASTM-2007 TEST DESIGNATION-D247)
Definition:
The shrinkage limit of cohesive soils is defined as the water content at which further loss of
moisture will not cause a decrease in volume.
Shrinkage Limit = Wi- W
ゐ =
1 2
2
100
=
1
2
100
Initial water
content
Change in water content
Shrinkage limit= (
12
2
)100
1
2
100
Va
Vw
Vs
Wa=
0
Ww
Ws
Initial phase
diagram
Final phase
diagram
Ws
Ww
Vw
3. SHRINKAGE LIMIT
(ASTM-2007 TEST DESIGNATION-D247)
44mm
12.7mm
Soil volume=
Vi
Soil Mass= Mi
Soil volume=
Vf
Soil Mass= Mf
Soil volume= V1
Soil Mass= M1
Soil volume= V2
Soil Mass= M2
Mercury volume= Vm
Empty mould volume= Ve
Dry Soil volume Vf= Ve - Vm
Shrinkage limit= (
12
2
)100
1
2
100
4. SHRINKAGE LIMIT
(ASTM-2007 TEST DESIGNATION-D247)
Shrinkage limit =
()粒
2
100
Shrinkage limit = (
粒
粒
1
)100
Shrinkage limit =
粒
粒
=
1
SR= Shrinkage Ratio
Other Formulae
S r = ゐ