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    SOIL MECHANICS AND GEOLOGY Dr. Paul Ho

    Sept/2009

    CHAPTER 3: GRAIN SIZES AND GRAIN SIZE DISTRIBUTION Page 1 of 20

    3 PARTICLE SIZE DISTRIUTION, SOIL CONSISTENCY,

    SOIL CLASSIFICATION AND DESCRIPTION

    3.1 Introduction

    The classification of soil is a good guide to a soils functional character as amaterial for engineering use.

    Different soil types have different shear strength and settlement

    characteristics, meaning they differ in their response to loads induced on

    them by structures.

    Different soil types have different seepage characteristics, meaning they

    differ in the ease with which water or other liquids flow through them.

    3.2 Basic Soil Groups

    There are three main groups of soil:

    Coarsegrained soils examples: cobbles, gravels, sands

    Individual grains can be seen with unaided eyes.

    There is no cohesion between grains (i.e., cohesionless).

    Particles flow freely when dry.

    Water can flow through them freely.

    Retain little or no water when drained.

    Finegrained soils examples: silts, clays

    Individual grains cannot be seen with unaided eyes.

    There is some form of cohesion between grains (i.e., cohesive).

    Form slumps when dry.

    Water does not drain out - retain water.

    Organic - example: peat soils or muskeg (fibrous):

    Decayed plant remains mixed with silt and clay.

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    4.1

    4.2

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    3.3 Typical features of Engineering Soils:

    Major classes and features of engineering soil are summarised in Table 3.1.

    Table 3.1 Major Classes and Feature of Engineering Soils

    Coaresed Grain Fine Grained Organic

    Soil types Cobble, Gravel, Sand Silt, Clay Peat

    Particle shape Round to angular Flaky Fibrous

    Particle or grain size Coarse Fine ---

    Porosity or void ratio Low High High

    Permeability High Low to Variable

    impermeable

    Inter-particle cohesion None to very low High Low

    Inter-particle friction High Low None tolow

    Plasticity Very low Low to high Low to

    moderate

    Compressibility Very low Moderate to Usually

    very high very high

    Rate of compression Immediate Moderate to slow Moderate

    to rapid

    Effect of particle size Important Relatively -

    distribution on Important (silt)Engineering Relatively

    Behaviour unimportant (clay)

    Effect of water on Relatively Important -

    engineering unimportant

    behaviour exception:

    (very fine sand)

    3.4 Particle Sizes

    The range of particle sizes encountered in soils is very wide, from boulder size

    larger than 200 mm down to the colloidal size of some clays of less than 0.001

    mm. Although natural soils are mixtures of various sized particles, it is

    common to find a predominant grading with a relatively narrow band of sizes.

    Table 3.2 shows the British Standard (BS)of particle size limits for use in soil

    engineering.

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    Table 3.2 British Standard of Particle Size Limits of Engineering Soils

    Type Range of particle size, mm

    Boulder > 200

    Cobble 200 - 60

    GravelCoarse gravel 60 - 20

    Medium gravel 20 - 6

    Fine gravel 6 - 2

    Sand

    Coarse sand 2 - 0.6

    Medium sand 0.6 - 0.2

    Fine sand 0.2 - 0.06

    Silt

    Coarse silt 0.06 - 0.02Medium silt 0.02 - 0.006

    Fine silt 0.006 - 0.002

    Clay Less than 0.002

    3.5 Particle Size Distribution

    Both the size of particles and the distribution of particles sizes are

    important. Sievingtests (for coarse grain soils) and hydrometertests (for fine grained

    soils) are used to define the distribution of grain sizes.

    Classification of soils according to particle sizes varies slightly between

    different classification system. In Hong Kong a system based on the British

    Soil Classification System (BSCS)is commonly used.

    In discribing the size of a soil particle, either a dimension or name as shown

    in Table 3.2 is used.

    The particle size refers to an equivalent particle diameter as found from

    sieve analysis.

    The British Standard Sieve Sizes as shown in Table 3.3 are commonly used

    in Hong Kong.

    The range of particle sizes varies from 200 mm > D (grain size diameter)>

    0.002 mm, hence the particle size distribution is examined on a logaritmic

    scale as shown in Figure 3.1

    Coarse

    Fine

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    ,

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    NGINEERING GEOLOGY AND SOIL MECHANICS

    hydrometer

    sieve test

    smallest sieve size

    at 0.063mm

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    Table .3.3 British Standard Test Sieve Sizes

    75 mm, 63 mm, 50 mm, 37.5 mm, 28 mm, 20 mm, 14 mm, 10 mm, 6.3 mm, 5

    mm, 3.36 mm, 2 mm, 1.18 mm, 600 m, 425 m, 300 m, 212 m, 150 m, 63

    m

    (1 m = 0.001 mm)

    Figure 3.1 Particle Size Distribution Chart (BS range of particle sizes)

    Determination of Particle-size Distribution

    Basically, in terms of grain size, soil is described as either coarse-grainedor

    fine-grained.

    Coarse-grained soil: one in which more than 35% of the grains, by weight, are

    greater than 0.06 mm in diameter (BSCS).

    Fine-grained soil: one in which more than 65% of the grains, by weight, are

    smaller than 0.06 mm in diameter (BSCS).

    In British Standard, the size 0.06 mm is the dividing line between silt and sand

    (see Table 3.2) and represents the smallest particle that can be distinguished as

    a discrete grain by the naked eye.

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    65%

    35%

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    at discrete sieve sizes

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    Sieving and Sedimentation

    Two methods are used to determine the particle-size distribution of soils. One

    is for coarse-grained material which uses sieves. The other is for fine-grained

    material which uses the technique of sedimentation; one example is the

    hydrometermethod.

    Most natural soil is a mixture of coarse-grained material (sand and gravel) and

    fine-grained material (silt and clay). Separation of the coarse and fine

    materials is necessary for proper testing. This is done by an initial wet sieving

    in which the soil is completely washed through a 63m (.063 mm) sieve by a

    stream of water. The soil retained on the sieve is greater than 0.063 mm in

    grain size. The particle-size distribution of the retained fraction can then be

    done using other larger size sieves. Alternatively, the sieving of the coarse

    fraction can also be done on the dried sample. This is known as dry sieving.

    Sieving

    Sieve Analysis is used to determine the distribution of the larger grain sizes.

    The soil is passed through a series of sieves with the mesh size reducing

    progressively (Figure 3.2), and the proportions by weight of the soil retained on

    each sieve are measured. There are a range of sieve sizes that can be used, and

    the finest is usually a 63 m sieve. Sieving can be performed either wet or dry.

    Because of the tendency for fine particles to clump together, wet sieving isoften required with fine-grained soils.

    Figure 3.2Sieves and Shaker

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    ENGINEERING GEOLOGY AND SOIL MECHANICS

    currently used in most of

    laboratories.

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    Sedimentation (Hydrometer)

    To determine the grain size distribution of material passing the 63 m sieve the

    Hydrometer method is commonly used (Figure 3.3). The soil is mixed with

    water and a dispersing agent, stirred vigorously, and allowed to settle to the

    bottom of a measuring cylinder. As the soil particles settle out of suspensionthe specific gravity of the mixture reduces. An hydrometer is used to record the

    variation of specific gravity with time. By making use of Stokes Law, which

    relates the velocity of a free falling sphere to its diameter, the test data is

    reduced to provide particle diameters and the % by weight of the sample finer

    than a particular particle size.

    Figure 3.3 Hydrometer

    Particle Size Distribution Curve

    Most soils are composed of particles of various sizes. Some soils have a more

    homogeneous (same) combination of particle sizes while other soils have a

    mixture of grain sizes. The sieving analysis (or together with hydrometer) of

    soil particle sizes is usually recorded on a Particle Size Distribution (PSD)

    Chart and the curve so ploted is referred as the Particle Size Distribution

    (PSD)Curve (or Grading Curve) as shown in Figure. 3.4.

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    Particle Size Distribution Chart

    The PSD Chart is a semi-logarithmic chart.

    The horizontal scale is a logarithmic scale (log10) of the particle size diameter

    over a range of 0.0001 mm to > 100 mm.

    The vertical scale is the percentage by weight of the soil grains that are finer

    than a given size. For example, point A in Figure. 3.4 represents 60% by

    weight of that soil is finer than 2.0 mm. The percentage is always designed as

    percent passing or finer (a certain sieve size) or as a summation percentage.

    Figure 3.4 Typical Particle Size Distribution (PSD) curves

    Some typical grading (PSD) curves are shown on the figure. The following

    descriptions are applied to these curves

    W Well graded material

    U Uniform material

    P Poorly graded material

    C Well graded with some clay

    F Well graded with an excess of fines

    Another quantity analysis of grading curves may be carried out using certain

    geometric values known as grading characteristics. For example, in Fig. 3.5,

    D10= diameter of grain (mm) for which 10 % is finer -- effective size

    D30= diameter of grain (mm) for which 30 % is finer

    D60= diameter of grain (mm) for which 60 % is finer

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    %F

    iner

    A

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    Coefficient of uniformity, Cu = D60/D10 - measures spread of particle size

    distribution

    Coefficient of curvature, Cc= (D30)2/(D60x D10) - measures slope of the grading

    curve

    GRADING of coarse-grained soils (gravel and sand):

    Well-graded soil (gravel or sand):

    Cu > 4 and 1 < Cc< 3 (well-graded gravel)

    Cu > 6 and 1 < Cc< 3 (well-graded sand)

    Poorly-graded soil: (gravel or sand)

    If Cu is small, soil is poorly-graded (uniform)If Cc

    > 3 or 1< , soil is poorly graded (gapped graded)

    Figure 3.5 Grading Characteristics

    Curves can also be used to obtained percentages of gravel, sand and fines (silt

    and clay).

    For example, for the curve in Figure 3.5:

    gravel = (100-46) = 54%

    sand = (46-18) = 28%Fine (silt + clay) = (18-0) = 18%

    0

    20

    40

    60

    80

    100

    0.001 0.01 0.1 1 10 100

    Grain size (mm)

    D30

    sievehydrometer

    D10 = 0.013 mm

    D30 = 0.47 mm

    D60 = 7.4 mm

    sands gravelsfines

    %P

    as

    sing

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    CHAPTER 4 Further Worked Examples

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    Further Worked ExamplesCHAPTER 4

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    3.6 Consistency of Fine-grained Soils

    Atterberg Limits

    If we take a very soft (high moisture content) clay specimen and allow it to drywe would obtain a relation similar to that shown in Figure 3.6.

    As the soil dries its strength and stiffness will increase. Three limits are

    indicated, the definitions of which are given below. The liquid and plastic

    limits appear to be fairly arbitrary, but recent research has suggested they are

    related to the strength of the soil.

    Figure 3.6. Volume - Moisture Content relationship for fine-grained soils

    (SL) The Shrinkage Limit - This is the moisture content the soil would have

    had if it were fully saturated at the point at which no further shrinkage occurs

    on drying.

    (PL) The Plastic Limit - This is the minimum water content at which the soilwill deform plastically (i.e., the soil can be molded)

    (LL) The Liquid Limit - This is the minimum water content at which the soil

    will flow under a small disturbing force

    (PI or Ip) The Plasticity Index. This is derived simply from the LL and PL

    IP = LL - PL (3)

    It measures the range of water within which the soil is plastic.

    PI

    Decreasing Strength

    Semi-solid/

    Semi- lastic

    Solid Plastic Liquid

    LLMoisture Content(%)SL PL

    Volum

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    The shrinkage limit (SL) is the water content where further loss of moisture will not result in any more volume

    reduction.[2]The test to determine the shrinkage limit isASTM InternationalD4943. The shrinkage limit is

    much less commonly used than the liquid and plastic limits.

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    (LI) The Liquidity Index - This is defined as

    PI

    PLw

    PLLL

    PLwLI

    =

    = (4)

    where w= the natural moisture content

    It tells which state (semi-solid, plastic, or lquid) the soil is at its natural

    condition.

    The Atterberg Limits and relationships derived from them are simple measures

    of the water absorbing ability of soils containing clay minerals. For example, if

    a clay has a very high LI and LL it is capable of absorbing large amounts of

    water, and for instance would be unsuitable for the base of a pavement. The LL

    and PL are also related to the soil strength.

    Remember that only the fraction finer than 425 m is tested in the Atterberg

    Limits tests Liquid Limit and Plastic Limit). If this fraction is only small (that is,

    the soil contains significant amounts of sand or gravel) it might be expected

    that the soil would have better properties. While this is true to some extent and

    it is important to realise that the soil behaviour is controlled by the finest 10 -

    25 % of the particles.

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    OR 0.425mm

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    Liquid Limit Tests

    These tests are only used for the fine-grained fraction (silt and clay) of a soil.

    Determination of Liquid Limit (Cone Penetrometer Method)

    Figure 3.7 Conepenetrometer

    Figure 3.8 Typical results of Cone Penetration Test

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    Determination of Liquid Limit (Casagrande Method)

    British Soil Classification System (BSCS)

    The standard system used worldwide for most major construction projects is known as

    the Unified Soil Classification System (USCS). This is based on an original systemdevised by Cassagrande. Soils are identified by symbols determined from sieve

    analysis and Atterberg Limit tests.

    Coarse Grained Materials

    Figure 3.9 Casagrande Method

    Figure 3.10 Typical results of Casagrande Mehtod

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    3.7 British Soil Classification System

    The standard system discussed here is the British Soil Classification System (BSCS)

    which is used in Hong kong. Soils are identified by symbols (Table 3.4) determined

    from sieve analysis and Atterberg Limit tests.

    Figure Table 3.4 Symbols used for BSCS

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    Coarse-grained Soils

    If more than 65% of the material is coarser than the 60 m, the soil is classified as

    coarse. The following steps are then followed to determine the appropriate symbols

    (Primaryprefix and Secondarysuffix).

    Steps:

    1.Determine the prefix

    If more than half of the coarse fraction is sand then use prefix S

    If more than half of the coarse fraction is gravel then use prefix G

    2.Determine the suffix

    This depends on the uniformity coefficient Cu and the coefficient of curvature Cc

    obtained from the grading curve, and also on the percentage of fines, and the type of

    fines.

    First determine the percentage of fines, that is the % of material smaller than the 60

    m.

    Then if % fines is

    < 5% use W or P (Pu or Pg) as suffix (u = uniform, g = gap graded)

    between 5% and 15% add M or C as suffix in addition to W or P(Pu or Pg)

    between 15% and 35% use M or C together with degree of plasticity (L, I, H, V, E)

    as suffix and no W or P(Pu or Pg) is required

    If W or P are required for the suffix then Cuand Ccmust be evaluated

    C D

    Du =

    60

    10

    C D

    D Dc =

    30

    2

    60 10( )

    If prefix is Gthen suffix is Wif Cu> 4 and Ccis between 1 and 3, otherwise use (Pu

    or Pg)

    If prefix is S then suffix is Wif Cu> 6 and Ccis between 1 and 3, otherwise use (Pu

    or Pg)

    If Mor Care required they have to be determined from the procedure used for fine-

    grained materials discussed below. Note that Mstands for Silt and Cfor Clay. This isdetermined from whether the soil lies above or below the A-line in the plasticity chart

    shown in Figure 3.11.

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    a.

    b.

    If Cc > 3 or 1< , soil is poorly graded (gapped graded)

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    Fine-grained Soils

    These are classified solely according to the results from the Atterberg Limit tests.

    Values of the Plasticity Index and Liquid Limit are used to determine a point on the

    plasticity chart shown in Figure 3.12. The classification symbol is determined from theregion of the chart in which the point lies.

    Examples CH High plasticity clay

    CL Low plasticity clay

    MH High plasticity silt

    ML Low plasticity silt

    Figure 3.11 Plasticity chart for laboratory classification of fine grained soils

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    Fine-grained Soils

    If more than 35% of the material is finer than the 60 m, the soil is classified as fine-

    grained soil. The following steps are then followed to determine the appropriate

    symbols.

    Steps:

    1. Determine the prefix

    If the point (PI, LL) is plotted aboce the A-line, the soil is Clay and use symbol C

    If the point (PI, LL) is plotted below the A-line , the soil is Silt and use symbol M

    2. Determine the suffix

    This depends on the amount of fine materials and the types of coase materials presentin the soil:

    Then If % fines is:

    from 65% - 100% use degree of plasticity (L, I, H, V, E) as suffix (no need to

    worry about the coarse materials)

    from 35% - 65%, in addition to plasticity (L, I, H, V, E), add G to the suffix if the

    coarse material is Gravel or S if the coarse material is Sand

    The complete procedure for BSCS is summarised in Table 3.5

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    Table 3.5 British Soil Classfication System (BSCS)

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    The final stage of the classification is to give a description of the soil to go with the

    symbol class. For a coarse grained soil this should include:

    the percentages of sand and gravel

    maximum particle size

    angularity surface condition

    hardness of the coarse grains

    local or geological name

    any other relevant information

    If the soil is undisturbed mention is also required of

    stratification

    degree of compactness

    cementation

    moisture conditions

    drainage characteristics

    All information required can be found in the list of reference (GEO Guide 3: Guide to

    Soil and Rock Description).

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    Example - Classification using USCS

    Classification tests have been performed on a soil sample and the following

    grading curve and Atterberg limits obtained. Determine the BSCS classification.

    Given Atterberg limits: Liquid limit LL = 32, Plastic Limit, PL =26

    Step 1: Determine the % fines from the grading curve

    %fines (% finer than 60 m) = 10% ( 4 and Cc is between 1 and 3)

    sand/gravel

    silt/sand

    well-graded silty SAND

    >50%

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    3.1

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    Refer to Chapter 1 page 15

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    CHAPTER 4 Further Worked Examples

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    Figure 3.11.

    Table 3.5.

    (b)

    (b)

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    (a)

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    (d)

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    (b)

    (c)

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    (f)

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    (b)

    ,

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    (Marine Mud).

    Stiff, moist, ,

    dark brownish grey,slightly sandy SILT/CLAY.

    (Marine Sand).

    Loose, moist,

    light brown,

    slightly gravelly fine to coarse SAND.

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    Loose, moist,

    light brown,

    slightly silty/clayey, gravelly SAND

    with interbedded soft, moist,greyish brown,

    sli htl sand SILT/CLAY Alluvium .

    Layer 1. Dense, dry,

    yellowish brown (large cobbles and boulders are light grey),

    bouldery COBBLES

    with much finer material (slightly gravelly, sandy

    silt/clay). (Colluvium).

    Layer 2. Very stiff, dry,

    yellowish brown,

    sli htl ravell , sand SILT/CLAY Colluvium .

    Layer 3. Very stiff, moist,

    dark brown (boulders are light grey),

    slightly sandy gravelly SILT/CLAY (Colluvium)

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    Layer 1.

    Soft, dry,

    light yellowish brown,

    sandy SILT/CLAY (Fill)

    Layer 2.

    Soft, moist,

    brownish red,

    slightly sandy SILT/CLAY (Fill)

    Layer 3.

    Soft to firm, wet,

    dark greyish brown,

    slightly gravelly sandy SILT/CLAY (Fill).

    Layer 4.

    Firm, wet,

    brown,

    slightly sandy SILT/ CLAY (Fill)

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    Chapter 4 Soil Classification and Description Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 4_Class Practice_2014

    Chapter 4Particle Size Distribution, Soil Consistency, Soil Classification and Description

    Class Practice

    Q.1 State the differences between coarse-grained and fine-grained soils in terms of the

    following soil properties:

    (i) particle shape

    (ii) porosity or void ratio

    (iii) permeability

    (iv) inter-particle cohesion

    (v) inter-particle friction

    (vi) plasticity

    (vii) compressibility

    (viii) rate of compression

    Q.2 A soil sample was carried out a sieve analysis in laboratory. The mass of soil

    retained on each sieve was measured and shown below.

    Sieve size

    (mm)

    Mass of soil retained on sieve

    (g)

    63 0

    37.5 52

    20 45

    10 386.3 32

    5 27

    2 25

    1.18 23

    0.6 19

    0.425 17

    0.3 16

    0.212 140.15 13

    0.063 10

    Pan 5

    (i) Plot the particle size distribution curve using the provided PSD chart and

    determine the followings for the soil

    (ii) Find D10, D30and D60

    (iii)Calculate coefficient of uniformity, Cu and coefficient of curvature, Cc

    (iv)Classification for the soil

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    Chapter 4 Soil Classification and Description Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 4_Class Practice_2014

    Q.3 The following results were obtained from a liquid limit test using a cone

    penetrometer.

    Cone penetration (mm) 7.5 13.5 15 26 32.5

    Water content (%) 7 12.5 14 24 30

    (i) Find the liquid limit of the soil sample.

    (ii) Calculate the plasticity index and liquidity index if the plastic limit was 15%

    and the natural moisture content 20%

    (iii) What is the classification of this soil

    Q.4 A cone penetrometer test was carried out on a sample of clay with the following

    results:

    Cone Penetration

    (mm)

    16.1 17.6 19.3 21.3 22.6

    Moisture Content

    (%)

    50.0 52.1 54.1 57 58.2

    The results from the plastic limit test were:Test

    No.

    Mass of

    container (g)

    Mass of wet soil +

    container (g)

    Mass of dry soil +

    container (g)

    1 8.1 20.7 18.7

    2 8.4 19.6 17.8

    (i) Plot the cone penetration against moisture content and determine the

    liquid limit.

    (ii)

    Determine the plastic limit and the plasticity index of the soil.

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    Chapter 4 Soil Classification and Description Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 4_Class Practice_2014

    Q.5 The results of particle size distribution analysis on a soil are summarized below:

    Sieve size (mm) Mass retained (g)

    10 0

    5 4.9

    2.0 24.7

    1.18 22.8

    0.6 21.5

    0.3 12.2

    0.15 9.9

    0.063 7.1

    pan 6.5

    (i) Tabulate the particle size distribution results and plot the particle size

    distribution curve for the soil.

    (ii) Determine the D10, D30, D60, Cuand Cc.

    (iii) If LL and PL of the fines portion (

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    Chapter 4 Soil Classification and Description Engineering Geology & Soil Mechanics

    Soil Mechanics_Chapter 4_Class Practice_2014

    Q.6 Classify soils

    You have carried out a sieving test on the soil sample. The particle size distribution

    curve of the soil sample (marked 'A') is shown below. The fine portion (particle size