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University of Technology, Sydney
Faculty of Engineering
49119 – Problematic Soils and
Ground Improvement Techniques
Week 4
Stone Columns Design and Construction
Subject Coordinator: Yujie Qi
(PhD, MEng, BEng)
Yujie.qi@uts.edu.au
Spring 2008 Vibro Techniques 2
Content
 Introduction to vibro techniques
 Vibro process
 Vibro compaction
 Process
 Design
 Vibro replacement
 Process
 Design
 Improvement factor
 Examples
Spring 2008 Vibro Techniques 3
Introduction
 Vibro Techniques
 Very cost effective method for compaction of loose and soft grounds
(comparable to deep dynamic compaction)
 Vibro compaction
 Suitable for loose granular soils
 Involves penetration of vibrating probes to densify the soil
 Vibrator can be jetted into the ground to the required depth
 Vibrated during withdrawal while compacting the backfill
 Vibro replacement
 Suitable for fine grained soils with low plasticity
 Vibrator forms cylindrical cavities in the ground
 The cavities are filled with suitable material and compacted
 Compaction results
 Lower post-construction settlement
 Higher bearing resistance
Spring 2008 Vibro Techniques 4
Costs
Spring 2008 Vibro Techniques 5
Suitability of the application
Soil type Vibro-compaction Vibro-replacement
Sands Excellent Not applicable
Silty sands Good Excellent
Silts Poor Good
Clays Not applicable Good
Dumped fills Depends on nature of fill Good
Spring 2008 Vibro Techniques 6
Vibrator
 Vibrator
 Specially-designed, poker-type depth vibrators
 Length: 2-5 m
 Diameter: 0.3 – 0.5m
 Weight: 1.5 to 5 tonnes
 Cause of vibration
 Eccentric weight within the vibrator
 Rotates by electric or hydraulic motor
 Rotational speed of 1500-3000 rpm
 Vibration amplitude of 10 – 50 mm
 Acceleration of up to 5g
 Generates horizontal force of 150-700kN
Spring 2008 Vibro Techniques 7
Vibrator
Spring 2008 Vibro Techniques 8
Vibro Process
 Insertion to required depth
 Normally due to vibrator weight
 May be aided by water jet or air in sand
 Water and air flow are stopped when vibrator reaches the
required depth
 Compaction
 Vibrator compacts the surrounding soil
 Makes a temporary cavity in fine grained soils
 Reduces voids in granular soils, compacts the supplied soils
 ~ o.5-1.0 m lift after 30 – 60 sec vibration
 Cavity is filled and compacted by vibrator
 Fills are added during compaction in granular soil
 Fills are added after cylindrical cavity is created
https://www.youtube.com/watc
h?v=fI54TqFbbgM
Spring 2008 Vibro Techniques 9
Vibro Process
 Insertion to required depth
 Normally due to vibrator weight
 May be aided by water jet or air in sand
 Water and air flow are stopped when vibrator reaches the
required depth
 Compaction
 Vibrator compacts the surrounding soil
 Makes a temporary cavity in fine grained soils
 Reduces voids in granular soils, compacts the supplied soils
 ~ o.5-1.0 m lift after 30 – 60 sec vibration
 Cavity is filled and compacted by vibrator
 Fills are added during compaction in granular soil
 Fills are added after cylindrical cavity is created
https://www.youtube.com/watc
h?v=fI54TqFbbgM
Spring 2008 Vibro Techniques 10
Vibro Compaction Process
Spring 2008 Vibro Techniques 11
Vibro Replacement Process
Spring 2008 Vibro Techniques 12
Vibro Process
http://cee.engr.ucdavis.edu/faculty/boulanger/geo_photo_album/GeoPhoto.html
Spring 2008 Vibro Techniques 13
Vibro Techniques
 Treatment can be:
 Through the whole depth of soft / loose soil layer
 Under high loading area
 At specified locations
Spring 2008 Vibro Techniques 14
Vibro Techniques
 Treatment can be:
 Through the whole depth of soft / loose soil layer
 Under high loading area
 At specified locations
Spring 2008 Vibro Techniques
15
Vibro Techniques: applications
16
Vibro Techniques: applications
Spring 2008 Vibro Techniques 17
Advantages of Vibro Techniques
 Increased bearing capacity
 Increased shear resistance
 Reduced settlement
 Mitigation of liquefaction and lateral spreading
 Uniformity of site after treatment
 Cost and time savings over conventional systems
 Can be applied close to existing structures
 In situ treatment, thus avoiding excavation and
replacement
Spring 2008 Vibro Techniques 18
Advantage in Foundation Design
 Bearing Capacity
 A function of soil shear strength parameters, c and f.
 Vibro techniques increase foundation strength by
 Increasing values of c and f of in-situ soil
 Constructing columns of strong materials
 Settlement
 A function of stiffness of the soil, E or mv
 Indirectly related to moisture content and/or void ratio
 Vibro techniques reduce ground settlement by:
 Reducing the voids, increasing the stiffness of in-situ material
 Adding columns of stiff material into the ground
Density Very
loose
Loose Medium
dense
Dense Very
dense
Relative density, Dr <15 15-35 35-65 65-85 85-100
SPT N-value <4 4-10 10-30 30-50 >50
CPT, qc (MPa) <5 5-10 10-15 15-20 >20
Dry unit weight, gd (kN/m3) <14 14-16 16-18 18-20 >20
Modulus of deformation
(MPa)
15-30 30-50 50-80 80-100 >100
Friction angle, f (o) <30 30-32.5 32.5-35 35-37.5 >37.5
Spring 2008 Vibro Techniques 19
Design Steps
 Perform site investigation
 Normal procedures in Geotechnical Engineering
 SPT / CPT and soil gradation
 Check performance of native soil
 Bearing capacity, settlement, instability, liquefaction, …
 Establish treatment requirements
 Degree of densification required
 Develop and design appropriate compaction plan
 Method, extent, depth, spacing, energy, etc.
 Develop testing criteria
 Consistent with initial tests
 Able to evaluate degree of treatment
Spring 2008 Vibro Techniques 20
Vibro Compaction
 Suitable for clean granular soil
 Silt % < 10%
 No cohesion
 CPT: Friction ratio between 0 -1, Tip resistance < 3MPa
 Range of treatable soil types
 Grading curve
 Suitability number, SN < 30
2
10
2
20
2
50 )
D
(
1
)
D
(
1
)
D
(
3
7
.
1
SN 


Spring 2008 Vibro Techniques 21
Vibro Compaction 2
10
2
20
2
50 )
D
(
1
)
D
(
1
)
D
(
3
7
.
1
SN 


Particle size (mm)
Finer
%
100
90
80
70
60
50
40
30
20
10
0
Clay Silt Sand Gravel
0.001 0.01 0.1 1 10
Spring 2008 Vibro Techniques 22
Vibro Compaction- Densification
2
10
2
20
2
50 )
D
(
1
)
D
(
1
)
D
(
3
7
.
1
SN 


Autumn 2022 Vibro Techniques 23
Vibro Replacement
 Involves:
 Insertion of vibro probe to create a cylindrical cavity
 The cavity is filled with granular soils and compacted
 Compaction is achieved by the vibro probe
 Suitable for:
 Silt and low plastic clay
 Columns of gravel or crushed stone produced
 ~1m diameter
 ~1-3m spacing
 Spacing depends on soil conditions, equipments, and construction
procedure
 A drainage blanket of granular soil covers the finished
ground
Spring 2008 Vibro Techniques 24
Backfill Material
 Generally coarse grained material
 Including crushed stone, gravel, coarse sand
 Suitability number:
 SN: 0 – 10 => Excellent for backfill
 SN: 10 – 20 => Good
 SN: 20 – 30 => Fair
 SN: 30 – 40 => Poor
 SN: > 50 => Unsuitable
 Degree of improvement is partially based on quality
of backfill material
 And also of the lateral support provided by the native soil
2
10
2
20
2
50 )
D
(
1
)
D
(
1
)
D
(
3
7
.
1
SN 


Spring 2008 Vibro Techniques 25
Strength of Stone Column
 Mechanism of failure of stone columns
s
t
gz
gz+2cu
cu
gz + 2cu
gz
gz+2cu
Spring 2008 Vibro Techniques 26
Strength of Stone Column
 Mechanism of failure of stone columns
f s
t
Kpc (gz + 2cu)
gz + 2cu
gz
Kpc (gz + 2cu)
gz+2cu
 Failures occur at excessively large deformation
Spring 2008 Vibro Techniques 27
Stiffness of Stone Columns
 Serviceability criterion is more relevant in design of
stone columns
 Priebe’s method gives acceptable estimate of:
 Settlement
 Strength parameters
 Based on estimation of improvement factor, n
 Can be estimated with a good level of approximation
treatment
with
Settlement
treatment
without
Settlement
n 
Spring 2008 Vibro Techniques 28
Improvement Factor
 Simplified assumptions:
 Stone column is assumed to be incompressible
 Change in stiffness due only to lateral deformation of stone
column
 No effects of column compressibility
 No effects of density variation between stone column and
native soil
 Some of the effects will be included later
 Basic equation:













 1
)
A
,
A
,
(
f
.
K
)
A
,
A
,
(
f
5
.
0
A
A
1
n
c
s
ac
c
s
c
o A
/
A
2
1
)
A
/
A
1
).(
1
(
)
A
,
A
,
(
f
c
s
c
s
c
s








Kac=Coefficient of active earth pressure of stone column
Spring 2008 Vibro Techniques 29
Improvement Factor
 For Poisson’s ratio of 0.33:
  











 1
A
/
A
1
K
4
A
/
A
5
A
A
1
n
c
ac
c
c
o
Spring 2008 Vibro Techniques 30
Effects of Column Compressibility
 Due to compressibility of stone column the real
improvement factor must be less than no
 Effects of compressibility can be included as an
additional area ratio
Taking mo=CEc/CEs:
1
K
4
)
1
m
(
K
16
1
K
4
5
)
2
m
(
K
4
2
1
)
1
K
4
(
2
5
)
2
m
(
K
4
A
A
ac
o
ac
2
ac
o
ac
ac
o
ac
1
c


























1
)
A
/
A
(
1
)
A
/
A
(
1
c
c 


)
A
/
A
(
A
/
A
1
A
A
c
c
m
c









  

















 1
)
A
/
A
(
1
K
4
)
A
/
A
(
5
A
A
1
n
m
c
ac
m
c
m
c
1
Spring 2008 Vibro Techniques 31
Effects of Column Compressibility
Spring 2008 Vibro Techniques 32
Effects of Density Difference
 Initial pressure difference between soil and column
results in bulging.
 It was assumed the difference is only to to applied pressure
 Density of column and soil also contributes to pressure
difference
 Effect is included as:
n2 = n1 × fd
s
c
oc
c
oc
c
oc
d
W
W
K
K
K
f


s
s

)
z
.
(
)
1
K
(
K
K
oc
c
oc
c
oc

g



s
s

Spring 2008 Vibro Techniques 33
Effects of Density Difference
Spring 2008 Vibro Techniques 34
Limits
 Limits of fd:
s
c
s
E
c
E
d
/
C
/
C
f
1
s
s


)
A
,
A
,
(
f
.
K
)
A
,
A
,
(
f
5
.
0
c
s
ac
c
s
s
c




s
s
 Limits of n:










 1
C
C
A
A
1
n
s
E
c
E
c
max
Spring 2008 Vibro Techniques 35
Limits
Spring 2008 Vibro Techniques 36
Shear Strength Improvement
 Change in shear strength is proportional to the ratio
of loads on stone columns, m
m = (n-1)/n
 Average friction angle, fm, and cohesion, cm, are
tan fm = m×tan fc + (1-m)tan fs
cm = cs×(1 - m)
Spring 2008 Vibro Techniques 37
Shear Strength Improvement
Spring 2008 Vibro Techniques 38
Settlement Calculation
 Settlement of a footing on a large treated area will be
reduced by n.
 Settlement of large footing on large treated area will
be one dimensional on homogeneous soil:
 Settlement of a footing on stone columns under the
footing only is approximated
 Priebe’s charts
2
s
E n
.
C
d
.
s
s


Spring 2008 Vibro Techniques 39
Settlement Calculation
Spring 2008 Vibro Techniques 40
Settlement Calculation
Spring 2008 Vibro Techniques 41
Settlement Calculation
 Settlement of a footing on a large treated area will be
reduced by n.
 Settlement of large footing on large treated area will
be one dimensional on homogeneous soil:
 Settlement of a footing on stone columns under the
footing only is approximated
 Priebe’s charts
 For layered soil use the following equation
2
s
E n
.
C
d
.
s
s


 
u
u
l
1
2
s
E
d
.
)
s
/
s
(
d
.
)
s
/
s
(
n
.
C
s 
 
s



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Lecture+4+-+4+-+Stone+Column-1.ppt

  • 1. University of Technology, Sydney Faculty of Engineering 49119 – Problematic Soils and Ground Improvement Techniques Week 4 Stone Columns Design and Construction Subject Coordinator: Yujie Qi (PhD, MEng, BEng) Yujie.qi@uts.edu.au
  • 2. Spring 2008 Vibro Techniques 2 Content  Introduction to vibro techniques  Vibro process  Vibro compaction  Process  Design  Vibro replacement  Process  Design  Improvement factor  Examples
  • 3. Spring 2008 Vibro Techniques 3 Introduction  Vibro Techniques  Very cost effective method for compaction of loose and soft grounds (comparable to deep dynamic compaction)  Vibro compaction  Suitable for loose granular soils  Involves penetration of vibrating probes to densify the soil  Vibrator can be jetted into the ground to the required depth  Vibrated during withdrawal while compacting the backfill  Vibro replacement  Suitable for fine grained soils with low plasticity  Vibrator forms cylindrical cavities in the ground  The cavities are filled with suitable material and compacted  Compaction results  Lower post-construction settlement  Higher bearing resistance
  • 4. Spring 2008 Vibro Techniques 4 Costs
  • 5. Spring 2008 Vibro Techniques 5 Suitability of the application Soil type Vibro-compaction Vibro-replacement Sands Excellent Not applicable Silty sands Good Excellent Silts Poor Good Clays Not applicable Good Dumped fills Depends on nature of fill Good
  • 6. Spring 2008 Vibro Techniques 6 Vibrator  Vibrator  Specially-designed, poker-type depth vibrators  Length: 2-5 m  Diameter: 0.3 – 0.5m  Weight: 1.5 to 5 tonnes  Cause of vibration  Eccentric weight within the vibrator  Rotates by electric or hydraulic motor  Rotational speed of 1500-3000 rpm  Vibration amplitude of 10 – 50 mm  Acceleration of up to 5g  Generates horizontal force of 150-700kN
  • 7. Spring 2008 Vibro Techniques 7 Vibrator
  • 8. Spring 2008 Vibro Techniques 8 Vibro Process  Insertion to required depth  Normally due to vibrator weight  May be aided by water jet or air in sand  Water and air flow are stopped when vibrator reaches the required depth  Compaction  Vibrator compacts the surrounding soil  Makes a temporary cavity in fine grained soils  Reduces voids in granular soils, compacts the supplied soils  ~ o.5-1.0 m lift after 30 – 60 sec vibration  Cavity is filled and compacted by vibrator  Fills are added during compaction in granular soil  Fills are added after cylindrical cavity is created https://www.youtube.com/watc h?v=fI54TqFbbgM
  • 9. Spring 2008 Vibro Techniques 9 Vibro Process  Insertion to required depth  Normally due to vibrator weight  May be aided by water jet or air in sand  Water and air flow are stopped when vibrator reaches the required depth  Compaction  Vibrator compacts the surrounding soil  Makes a temporary cavity in fine grained soils  Reduces voids in granular soils, compacts the supplied soils  ~ o.5-1.0 m lift after 30 – 60 sec vibration  Cavity is filled and compacted by vibrator  Fills are added during compaction in granular soil  Fills are added after cylindrical cavity is created https://www.youtube.com/watc h?v=fI54TqFbbgM
  • 10. Spring 2008 Vibro Techniques 10 Vibro Compaction Process
  • 11. Spring 2008 Vibro Techniques 11 Vibro Replacement Process
  • 12. Spring 2008 Vibro Techniques 12 Vibro Process http://cee.engr.ucdavis.edu/faculty/boulanger/geo_photo_album/GeoPhoto.html
  • 13. Spring 2008 Vibro Techniques 13 Vibro Techniques  Treatment can be:  Through the whole depth of soft / loose soil layer  Under high loading area  At specified locations
  • 14. Spring 2008 Vibro Techniques 14 Vibro Techniques  Treatment can be:  Through the whole depth of soft / loose soil layer  Under high loading area  At specified locations
  • 15. Spring 2008 Vibro Techniques 15 Vibro Techniques: applications
  • 17. Spring 2008 Vibro Techniques 17 Advantages of Vibro Techniques  Increased bearing capacity  Increased shear resistance  Reduced settlement  Mitigation of liquefaction and lateral spreading  Uniformity of site after treatment  Cost and time savings over conventional systems  Can be applied close to existing structures  In situ treatment, thus avoiding excavation and replacement
  • 18. Spring 2008 Vibro Techniques 18 Advantage in Foundation Design  Bearing Capacity  A function of soil shear strength parameters, c and f.  Vibro techniques increase foundation strength by  Increasing values of c and f of in-situ soil  Constructing columns of strong materials  Settlement  A function of stiffness of the soil, E or mv  Indirectly related to moisture content and/or void ratio  Vibro techniques reduce ground settlement by:  Reducing the voids, increasing the stiffness of in-situ material  Adding columns of stiff material into the ground Density Very loose Loose Medium dense Dense Very dense Relative density, Dr <15 15-35 35-65 65-85 85-100 SPT N-value <4 4-10 10-30 30-50 >50 CPT, qc (MPa) <5 5-10 10-15 15-20 >20 Dry unit weight, gd (kN/m3) <14 14-16 16-18 18-20 >20 Modulus of deformation (MPa) 15-30 30-50 50-80 80-100 >100 Friction angle, f (o) <30 30-32.5 32.5-35 35-37.5 >37.5
  • 19. Spring 2008 Vibro Techniques 19 Design Steps  Perform site investigation  Normal procedures in Geotechnical Engineering  SPT / CPT and soil gradation  Check performance of native soil  Bearing capacity, settlement, instability, liquefaction, …  Establish treatment requirements  Degree of densification required  Develop and design appropriate compaction plan  Method, extent, depth, spacing, energy, etc.  Develop testing criteria  Consistent with initial tests  Able to evaluate degree of treatment
  • 20. Spring 2008 Vibro Techniques 20 Vibro Compaction  Suitable for clean granular soil  Silt % < 10%  No cohesion  CPT: Friction ratio between 0 -1, Tip resistance < 3MPa  Range of treatable soil types  Grading curve  Suitability number, SN < 30 2 10 2 20 2 50 ) D ( 1 ) D ( 1 ) D ( 3 7 . 1 SN   
  • 21. Spring 2008 Vibro Techniques 21 Vibro Compaction 2 10 2 20 2 50 ) D ( 1 ) D ( 1 ) D ( 3 7 . 1 SN    Particle size (mm) Finer % 100 90 80 70 60 50 40 30 20 10 0 Clay Silt Sand Gravel 0.001 0.01 0.1 1 10
  • 22. Spring 2008 Vibro Techniques 22 Vibro Compaction- Densification 2 10 2 20 2 50 ) D ( 1 ) D ( 1 ) D ( 3 7 . 1 SN   
  • 23. Autumn 2022 Vibro Techniques 23 Vibro Replacement  Involves:  Insertion of vibro probe to create a cylindrical cavity  The cavity is filled with granular soils and compacted  Compaction is achieved by the vibro probe  Suitable for:  Silt and low plastic clay  Columns of gravel or crushed stone produced  ~1m diameter  ~1-3m spacing  Spacing depends on soil conditions, equipments, and construction procedure  A drainage blanket of granular soil covers the finished ground
  • 24. Spring 2008 Vibro Techniques 24 Backfill Material  Generally coarse grained material  Including crushed stone, gravel, coarse sand  Suitability number:  SN: 0 – 10 => Excellent for backfill  SN: 10 – 20 => Good  SN: 20 – 30 => Fair  SN: 30 – 40 => Poor  SN: > 50 => Unsuitable  Degree of improvement is partially based on quality of backfill material  And also of the lateral support provided by the native soil 2 10 2 20 2 50 ) D ( 1 ) D ( 1 ) D ( 3 7 . 1 SN   
  • 25. Spring 2008 Vibro Techniques 25 Strength of Stone Column  Mechanism of failure of stone columns s t gz gz+2cu cu gz + 2cu gz gz+2cu
  • 26. Spring 2008 Vibro Techniques 26 Strength of Stone Column  Mechanism of failure of stone columns f s t Kpc (gz + 2cu) gz + 2cu gz Kpc (gz + 2cu) gz+2cu  Failures occur at excessively large deformation
  • 27. Spring 2008 Vibro Techniques 27 Stiffness of Stone Columns  Serviceability criterion is more relevant in design of stone columns  Priebe’s method gives acceptable estimate of:  Settlement  Strength parameters  Based on estimation of improvement factor, n  Can be estimated with a good level of approximation treatment with Settlement treatment without Settlement n 
  • 28. Spring 2008 Vibro Techniques 28 Improvement Factor  Simplified assumptions:  Stone column is assumed to be incompressible  Change in stiffness due only to lateral deformation of stone column  No effects of column compressibility  No effects of density variation between stone column and native soil  Some of the effects will be included later  Basic equation:               1 ) A , A , ( f . K ) A , A , ( f 5 . 0 A A 1 n c s ac c s c o A / A 2 1 ) A / A 1 ).( 1 ( ) A , A , ( f c s c s c s         Kac=Coefficient of active earth pressure of stone column
  • 29. Spring 2008 Vibro Techniques 29 Improvement Factor  For Poisson’s ratio of 0.33:                1 A / A 1 K 4 A / A 5 A A 1 n c ac c c o
  • 30. Spring 2008 Vibro Techniques 30 Effects of Column Compressibility  Due to compressibility of stone column the real improvement factor must be less than no  Effects of compressibility can be included as an additional area ratio Taking mo=CEc/CEs: 1 K 4 ) 1 m ( K 16 1 K 4 5 ) 2 m ( K 4 2 1 ) 1 K 4 ( 2 5 ) 2 m ( K 4 A A ac o ac 2 ac o ac ac o ac 1 c                           1 ) A / A ( 1 ) A / A ( 1 c c    ) A / A ( A / A 1 A A c c m c                               1 ) A / A ( 1 K 4 ) A / A ( 5 A A 1 n m c ac m c m c 1
  • 31. Spring 2008 Vibro Techniques 31 Effects of Column Compressibility
  • 32. Spring 2008 Vibro Techniques 32 Effects of Density Difference  Initial pressure difference between soil and column results in bulging.  It was assumed the difference is only to to applied pressure  Density of column and soil also contributes to pressure difference  Effect is included as: n2 = n1 × fd s c oc c oc c oc d W W K K K f   s s  ) z . ( ) 1 K ( K K oc c oc c oc  g    s s 
  • 33. Spring 2008 Vibro Techniques 33 Effects of Density Difference
  • 34. Spring 2008 Vibro Techniques 34 Limits  Limits of fd: s c s E c E d / C / C f 1 s s   ) A , A , ( f . K ) A , A , ( f 5 . 0 c s ac c s s c     s s  Limits of n:            1 C C A A 1 n s E c E c max
  • 35. Spring 2008 Vibro Techniques 35 Limits
  • 36. Spring 2008 Vibro Techniques 36 Shear Strength Improvement  Change in shear strength is proportional to the ratio of loads on stone columns, m m = (n-1)/n  Average friction angle, fm, and cohesion, cm, are tan fm = m×tan fc + (1-m)tan fs cm = cs×(1 - m)
  • 37. Spring 2008 Vibro Techniques 37 Shear Strength Improvement
  • 38. Spring 2008 Vibro Techniques 38 Settlement Calculation  Settlement of a footing on a large treated area will be reduced by n.  Settlement of large footing on large treated area will be one dimensional on homogeneous soil:  Settlement of a footing on stone columns under the footing only is approximated  Priebe’s charts 2 s E n . C d . s s  
  • 39. Spring 2008 Vibro Techniques 39 Settlement Calculation
  • 40. Spring 2008 Vibro Techniques 40 Settlement Calculation
  • 41. Spring 2008 Vibro Techniques 41 Settlement Calculation  Settlement of a footing on a large treated area will be reduced by n.  Settlement of large footing on large treated area will be one dimensional on homogeneous soil:  Settlement of a footing on stone columns under the footing only is approximated  Priebe’s charts  For layered soil use the following equation 2 s E n . C d . s s     u u l 1 2 s E d . ) s / s ( d . ) s / s ( n . C s    s  