correlations in geotechnical engineering

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    INDEX

    Specific Gravity of Common Minerals

    Void ratio, Moisture Content, and Dry Unit Weight for Some Typical Soils in a Natural State

    Qualitative Description of Granular Soil Deposits

    Typical Values of Liquid Limit, Plastic Limit, and Activity of Some Clay Minerals

    Typical Values of Hydraulic Conductivity of Saturated Soils

    Empirical Relationships for Estimating Hydraulic Conductivity

    Approximate Range of Capillary Rise in Soils

    Representative Values of the Modulus of Elasticity of Soil

    Representative Values of Poissons Ratio

    Correlations for Compression Index Cc

    Variation of sin with plasticity index for a number of soils

    General Relationship of Consistency and Unconfined Compression Strength of Clays

    Spacing of borings

    Approximate Correlations of Standard Penetration Number and Consistency of Clay

    Approximate Relationship Between Corrected Standard Penetration Number and Relative Density of

    Sand

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    Specific Gravity of Common Minerals

    Mineral Specific Gravity, Gs

    Quartz 2.65

    Kaolinite 2.6

    Illite 2.8

    Montmorillonite 2.652.80

    Halloysite 2.02.55

    Potassium feldspar 2.57

    Sodium and calcium feldspar 2.622.76

    Chlorite 2.62.9

    Biotite 2.83.2

    Muscovite 2.763.1

    Hornblende 3.03.47

    Limonite 3.64.0

    Olivine 3.273.7

    Void ratio, Moisture Content, and Dry Unit Weight for Some Typical Soils in a Natural State

    Type of soil Void ratio, eNatural moisture content

    in a saturated state (%)

    Dry unit

    weight, d

    kN/m3

    Loose uniform sand 0.8 30 14.5

    Dense uniform sand 0.45 16 18

    Loose angular-grained silty sand 0.65 25 16

    Dense angular-grained silty sand 0.4 15 19Stiff clay 0.6 21 17

    Soft clay 0.91.4 3050 11.514.5

    Loess 0.9 25 13.5

    Soft organic clay 2.53.2 90120 68

    Glacial till 0.3 10 21

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    Qualitative Description of Granular Soil Deposits

    Relative Density (%) Description of soil deposit

    015 Very loose

    1550 Loose

    5070 Medium

    7085 Dense

    85100 Very dense

    Typical Values of Liquid Limit, Plastic Limit, and Activity of Some Clay Minerals

    Mineral Liquid limit, LL Plastic limit, PL Activity, A

    Kaolinite 35100 2040 0.30.5

    Illite 60120 3560 0.51.2

    Montmorillonite 100900 50100 1.57.0

    Halloysite (hydrated) 5070 4060 0.10.2

    Halloysite (dehydrated) 4055 3045 0.40.6

    Attapulgite 150250 100125 0.41.3

    Allophane 200250 120150 0.41.3

    Sridharan et al. (1999) showed that the plasticity index can be correlated to the flow index as obtained

    from the liquid limit tests. According to their study,

    %= 4.12% %= 0.741%

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    Typical Values of Hydraulic Conductivity of Saturated Soils

    Soil typek

    cm/sec

    Clean gravel 1001.0

    Coarse sand 1.00.01

    Fine sand 0.010.001

    Silty clay 0.0010.00001

    Clay

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    Approximate Range of Capillary Rise in Soils

    Soil type

    Range of capillary

    rise

    m

    Coarse sand 0.11.2Fine sand 0.31.2

    Silt 0.757.5

    Clay 7.523

    Representative Values of the Modulus of Elasticity of Soil

    Soil typeEs

    kN/m2

    Soft clay 18003500

    Hard clay 600014000

    Loose sand 1000028000

    Dense sand 3500070000

    Representative Values of Poissons Ratio

    Type of soil Poissons ratio, s

    Loose sand 0.20.4

    Medium sand 0.250.4

    Dense sand 0.30.45

    Silty sand 0.20.4

    Soft clay 0.150.25

    Medium clay 0.20.5

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    Correlations for Compression Index Cc*

    Equation Reference Region of applicability

    Cc = 0.007(LL-7) Skempton (1944) Remolded clays

    Cc = 0.01wN Chicago clays

    Cc = 1.15(e0-0.27) Nishida (1956) All clays

    Cc = 0.30(e0-0.27) Hough (1957) Inorganic cohesive soil: silt, silty clay, clay

    Cc = 0.115wN Organic soils, peats, organic silt, and clay

    Cc = 0.0046(LL-9) Brazilian clays

    Cc = 0.75(e0-0.5) Soils with low plasticity

    Cc = 0.208e0+0.0083 Chicago clays

    Cc = 0.1556e0+0.0107 All clays

    *After Rendon-Herrero (1980)

    e0= in situ void ratio; wN= in situ water content

    On the basis of observations on several natural clays, Rendon-Herrero (1983) gave the relationship for

    the compression index in the form

    = 0.141. (1 + ).8

    Nagaraj and Murty (1985) expressed the compression index as

    = 0.2343 [%100 ]

    The swell index is appreciably smaller in magnitude than the compression index and can generally be

    determined from laboratory tests. In most cases,

    15 1

    10

    The swell index was expressed by Nagaraj and Murty (1985) as

    = 0.0463 [%100 ]

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    Variation of sinwith plasticity index for a number of soils (after Kenney, 1959)

    General Relationship of Consistency and Unconfined Compression Strength of Clays

    Consistency qu( kN/m2)

    Very soft 025

    Soft 2550

    Medium 50100

    Stiff 100200

    Very stiff 200400

    Hard >400

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    Spacing of borings

    Project Boring spacings (m)

    One-story buildings 2530

    Multistory buildings 1525

    Highways 250300

    Earth dams 2550

    Residential subdivision planning 60100

    Approximate Correlations of Standard Penetration Number and Consistency of Clay

    Standard

    Penetration

    number,N

    Consistency Unconfined

    compression

    strength

    (kN/m2)0 0

    2

    Very soft

    25

    4

    Soft

    50

    8

    Medium stiff

    100

    16

    Stiff

    200

    32

    Very stiff

    400

    >32

    Hard

    >400

    Approximate Relationship Between Corrected Standard Penetration Number and Relative Density of

    Sand

    Corrected standard penetration

    number, Ncor

    Relative

    density, Dr

    05 05

    510 530

    1030 3060

    3050 6095