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Evaluation ofUndrained Shear Strength
from In-Situ Tests
Paul W. Mayne
Georgia Institute of Technology
Mix & Match ofUndrained ShearStrengthsfrom differenttests
Pentre, UK Site(Lambson, et al.1996, Large ScalePile Tests in Clay,Thomas Telford)
Undrained StrengthAnisotropy and Effectsof Strain Rate, BoundaryConditions, and InitialStress State
UndrainedShearStrength(c = cu = su)
Classical Methods for su in Clays & Silts
Undrained Shear Strength
Classical interpretation from CPT in clays:
undrained shear strength = cu = su
kt
votu
N
qs
=
Which su ?
HC CIUC PSC CK0UC DSC DSS DS PSE CK0UC CIUE UU UC
Nk = 15
Undrained Shear Strength of Clays
Theoretical formulation from critical-state soil
mechanics for intact clays (Cambridge Univ.):
where
1 - Cs/Cc Experimental work by MIT with simple shear
device:
Low OCRs (assume = 28o): suDSS 0.2 p
su/voDSS = sin'OCR
su/voDSS = 0.23 OCR0 8
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NC Normalized DSS Undrained Strength
0.0
0.1
0.2
0.3
0.4
0.3 0.4 0.5 0.6 0.7 0.8
sin'
su
/vo
'NC
(DSS)
Bothkennar Mexico City
Amherst AGS Plastic
Hackensack Onsoy
James Bay Rissa
Porto Tolle Portsmouth
Boston Blue San Francisco
Silty Holocene Cowden
Wroth (1984)
su/vo'NC(DSS) = sin'
Undrained Shear Strength from Stress History
Intact Clays
Independentlyobtained by
experiments
(SHANSEP)
And theory
(CSSM)
Shear-Induced Porewater Pressures OC Normalized DSS Undrained Strength
0.1
1
10
1 10 100
Overconsolidation Ratio, OCR
DSSU
ndrained
Strength,su
/vo
' DrammenPortsmouth
Portland
Maine
Boston Blue
Silty Holocene
Haga
Upper Chek Lok
Lower Chek Lok
Bangkok
Atchafalaya
Conn Valley
Paria
Hackensack
McManus
Cowden
Brent Cross
20
30
40
Fissured 20
' = 40o
20o
30o
su/vo' = sin'OCR
Note: = 0.8
Fissured
Intact
Strength Anisotropy Strength Anisotropy
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Undrained Strength Anisotropy
0
0.1
0.2
0.3
0.4
0.5
0.6
NCUndrainedShea
rStrengthRatio
15 20 25 30 35 40 45
Effective Stress Friction Angle (deg)
CIUC
KoPSC
CKoUC
SS
DSS
KoPSE
CKoUE
Wroth Prevost Constitutive Model
Undrained Strength Anisotropy
(Jamiolkowski, et al. 1985; Ladd, 1991)
Undrained Strength by SHANSEP
(Ladd &
Foott, 1974)
(Ladd, 1991)
Undrained Strength by SHANSEP
(Koutsoftas
and Ladd,
1985)
Troll Investigation, North Sea
0
5
10
15
20
25
30
0 500 1000 1500
Piezocone Readings (kPa)
Depth
(meters)
qt (tip stress)
u2 (shoulder)
uo (hydrostatic)
Troll, North Sea
Amundsen et al (1985)
Troll Investigation, North Sea
0
5
10
15
20
25
30
0 5 10 15
Nm= Q (a' = 0)
Depth
(meters)
0
5
10
15
20
25
30
0.0 0.2 0.4 0.6 0.8 1.0
Bq
0
5
10
15
20
25
30
20 25 30 35 40 45
' (deg)
Lab TX
CPTu
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Troll Investigation, North Sea
Troll, North Sea
0
5
10
15
20
25
30
0 1 2 3 4 5
Overconsolidation Ratio, OCR
Depth
(meters)
CPTu2Oed.1985Oed.1989
Amundsen et al. (1985)
' = 29o
= 0.85
Troll Site, North Sea (NGI, 1989)
0
5
10
15
20
25
0 100 200 300 400 500
Preconsolidation Stress,p' (kPa)
Depth
(meters)
qtnetOed.1985
Oed.1989svo'
0
5
10
15
20
25
0 100 200 300 400 500
Preconsolidation Stress, p' (kPa)
Delta u2Oed.1985Oed.1989svo'
Troll Site, North Sea (NGI, 1989)
0
5
10
15
20
25
0 100 200 300 400 500
Preconsolidation Stress,p' (kPa)
Depth
(meters)
SCE-CSSMOed.1985Oed.1989svo'
Triaxial CKoUC -Troll, North Sea
Troll, North Sea
0
5
10
15
20
25
30
0 10 20 30 40 50 60 70 80
Undrained Shear Strength, su(kPa)
Depth
(meters)
CPTu2
TC 1984
TC 1987TC 1988
TC 1989
NGI (1989)
DSS Strengths - Troll, North Sea
Troll, North Sea
0
5
10
15
20
25
30
0 10 20 30 40 50 60 70 80Undrained Shear Strength, su(kPa)
Depth
(meters)
CPTu2
DSS 1984
DSS 1987
DSS 1988
DSS 1989
NGI (1989)
Triaxial CKoUE -Troll, North Sea
Troll, North Sea
0
5
10
15
20
25
30
0 10 20 30 40 50 60 70 80Undrained Shear Strength, su(kPa)
Depth
(meters)
CPTu2
TE 1984
TE 1987
TE 1988
TE 1989
NGI (1989)
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Troll Investigation, North Sea
(Jamiolkowski, et al. 1985, ICSMFE)
(Ladd, 1991, Terzaghi Lecture, JGE)
Anchorage, Alaska
Summary POA Undrained Shear StrengthsCIUC Triaxial and DSS Tests
Triaxial: su/vo' = 0.33 OCR0.77
Simple Shear: su/vo' = 0.23 OCR0.70
0.1
1
10
1 10 100
Overconsolidation Ratio, OCR
StrengthRatio,su
/vo
'
POA Summary: Triaxial Effective Stress Paths
POA Triaxial Summary
0
100
200
300
400
0 100 200 300 400 500 600
Effective Stress, p' = (1'+3')/2 kPa
ShearStress,q=
(1-
3)/2
kPa
OC Envelope
TB 9 (138 ft)
TP11 (155 ft)
TB15 (109 ft)
TB15 (124 ft)
TB15 (149 ft)
TB25 (69 ft)
TB25 (90 ft)
TB25 (190 ft)
TB28 (95 ft)
TB31 (126 ft)
TB31 (126 ft)
TB31 (126 ft)
TB39 (115 ft)
TB39 (160 ft)
TB47 (120 ft)
TB49 (100 ft)
TB49 (115 ft)
TB56 (115 ft)
Overconsolidated
Effective Strength Envelope
' = 27o
c' = 20 kPa
POA Summary: Triaxial Effective Stress Paths
POA Triaxial Summary
0
100
200
300
400
0 100 200 300 400 500 600
Effective Stress, p' = (1'+3')/2 kPa
ShearStress,q=
(1-
3)/2
kPa
OC Envelope
TB 9 (138 ft)
TP11 (155 ft)
TB15 (109 ft)
TB15 (124 ft)
TB15 (149 ft)
TB25 (69 ft)
TB25 (90 ft)
TB25 (190 ft)
TB28 (95 ft)
TB31 (126 ft)
TB31 (126 ft)
TB31 (126 ft)
TB39 (115 ft)
TB39 (160 ft)
TB47 (120 ft)
TB49 (100 ft)
TB49 (115 ft)
TB56 (115 ft)
Normally-Consolidated
Effective Strength Envelope
' = 27o
c' = 0
Summary POA Undrained Shear StrengthsCIUC Triaxial and DSS Tests
0.1
1
10
1 10 100
Overconsolidation Ratio, OCR
StrengthRatio,su
/vo
'
DSS Data
CIUC Data
MCC Pred CIUC
MCC Pred DSS
Critical State Soil Mechanics
(Modified Cam Clay)
' = 27o
= 0.75
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Undrained Shear Strength Anisotropy
Stability Analyses on Clays
Deterministic Solution
Using Limit Plasticity
Trial & Error Solution
Using Limit Equilibrium
TC
DSS
TE PSC DSSPSE
Undrained Strength Anisotropy
Wroth-Prevost Constitutive Soil Model
0
0.1
0.2
0.3
0.4
0.5
0.6
20 25 30 35 40 45
Effective Stress Friction Angle, ' (deg)
NCStrengthRati
o,su/vo'
CIUC
KoPSC
CKoUC
SS
DSS
KoPSE
CKoUE
POA Bootlegger
Cove Clay
Undrained Strength Anisotropy
(Jamiolkowski, et al., ICSMFE, 1985)
POA In-Situ and Lab Undrained Strengths
Mudline
10
15
20
25
30
35
40
45
0 20 40 60 80 100 120 140 160 180 200
Undrained Shear Strength, su(kPa)
Elevation
(meters)
Lab DSS Data
Lab Triaxial Data
Vane Shear
TC from CPTu
DSS from CPTu
Upper
Bootlegger
Cove Clay
Lower
BootleggerCove Clay
Soft
Silt
Piezocone Sounding C-28 (TB-33A)
Port of Anchorage SCPT
10
15
20
25
30
35
40
45
0 1 2 3 4
Tip Stress, qt(MPa)
Depth
(meters)
0 50 100 150
Friction, fs(kPa)
0 1 2 3
Porewater, ub(MPa)
1 10 100
Dissipation,t50(min)
0 100 200 300 400 500
Shear Wave, Vs(m/s)
Mudline
Undrained Shear Strength of Clays
Theoretical formulation from critical-state soil
mechanics for intact clays (Cambridge Univ.):
where
1 - Cs/Cc Experimental work by MIT with simple shear
device:
Low OCRs (assume = 28o): suDSS 0.2 p
su/voDSS = sin'OCR
su/voDSS = 0.23 OCR0 8