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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.
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
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
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

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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