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45

40

35

30

25

2075

1.2 1.1 1.0 0.9 0.8 0.75 0.7 0.65 0.6 0.55

0.55 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15

(G = 2.68)

0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15

80 90 100 110 120 130 140 150

φ` Obtained from effective

stress failure envelopes

approximate correlation

is for cohesionless

materials without

 plastic fines

ML

SMSP

SW

GP

GW

 R  e l a t i v e 

 D e n s i t y 

 1 0 0 %

 i n  t h i s  ra nge

 a n d

0

 25 %

 5 0 %

 7 5  %

Angle of Internal Friction Vs Density (For Coarse Grained Soils)

Adapted from NAVFAC DM-7.1 (5/82) p 7.1 - 149

Correlations Of Strength Characteristics For Granular Soils

Material Type

   A  n  g   l  e  o   f   I  n   t  e  r  n  a   l   F  r   i  c   t   i  o  n

        φ   `   (   D  e  g  r  e  e  s   )

Dry Unit Weight (γ D

), PCF

Void Ratio, e

Porosity, n

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Coefficient of Consolidation Vs Liquid Limit

Adapted from NAVFAC DM-7.1 (1982)

3

2

10-2

10-3

10-4

Liquid Limit (LL)

   (   C  v

   ) ,   F   T   2   /   d  a  y

   C  o  e   f   f   i  c   i  e  n

   t  o   f   C  o  n  s  o   l   i   d  a   t   i  o  n   (   C  v

   ) ,   C  m

   2   /  s  e  c

8

8

65

4

3

2

65

4

8

6

54

3

2

2

1

0.7

0.5

0.3

0.2

0.1

0.07

0.05

0.03

0.02

0.01

0.007

0.005

20 40 60 80 100 120 140 160

Undisturbed Samples:

Cv in Range of Virgin Compression

Cv in Range of Recompression Lies Above

this Lower Limit

Completely Remolded Samples:

Cv Lies Below this Upper Limit

0.40

0.35

0.30

0.25

0.20

0.15

0 10 20 30 40 50 60 70 80 90

   U  n   d  r  a   i  n  e   d

   S   t  r  e  n  g   t   h   R  a   t   i  o

Plasticity Index, I p(percent)

Adapted from Ladd (1991), JGE, ASCE, 117(4)

Comparison of field and laboratory undrained strength ratios for nonvarved sedimentary

soils (OCR = 1 for laboratory CK oU  testing)

 Note: Cu = SuUndrained shear 

strength for design

(stability analyses)

 Note: Linear Regression

Lines for Clay Data

**

*

**

*

**

*

Source of Strength DataA- Line

AboveBelow

Field cu/σ p: Larsson (1980)

Lab CK oU τave/σvc:Table 4

Lab CK oUDSS τh/σvc: MIT*cu/σ p

τh/σvc

τave/σvc

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50

40

30

20

10

00 20 40 60 80 100 200 400 600 1000

   F  r   i  c   t   i  o  n

   A  n  g   l  e ,

        φ   ' ,   D  e  g  r  e  e  s

Plasticity Index, I p, percent

Soft and Stiff Clays, andShale Compositions

Clay Minerals

φ' (oc) Data fromTable 3

 NC 

Values of Friction Angle φ' for Natural Clay Compositions

 NC 

For σ p/σn Range of 10 to 20 

For σ p/σn Range of 2 to 5

σ p = 4100 kPa

c c

3000

2000

1000

0 2000 4000 6000 8000

   S   h  e  a  r   S   t  r  e  s  s ,

   k   P  a

σn = Effective Normal Stress, kPa

φ

Peak Strength against Effective Normal Stress Relationship of London Clay

Sample from 35 m Depth (Data from Bishop et al. 1965)

10,000

10,00

100

10

1

0.110 100 1000 10,000 100,000

c

 pσ= 0.024

10 (Table1)

10

c

 pσ= 0.10

  c

 ,   k   P  a

σ p , kPa

Relationship between Cohesion Intercept and Preconsolidation

Pressure

Adapted from Mesri & Adel - Ghaffar (1993), JGE, ASCE, 119(8)

2 to 5

10 to 20

nσ  pσin /σn Range of 

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60

50

40

30

20

10

74

00 10 16 20 30 40 50

ML or OL

MH or OH

60 70 80 90 100 110

  P  l  a  s  t  i  c  i

  t  y

  I  n  d  e  x

  (  P  I  )

Li id Li it (LL)

   "   U   "    L

   i  n  e

  C  L  o  r

   O  L

  C  H  o  r

   O  H

  " A  "   L

  i  n e

For classification of fine-grained soilsand fine-grained fraction of coarse-

grained soils.

Equation of "A"-line

Horizontal at PI = 4 to LL = 25.5,

then PI = 0.73 (LL-20)

Equation of "U"-line

Vertical at LL = 16 to

PI = 7, then PI = 0.9(LL-8)CL - ML