Soil Mechanics

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  • Dr. Tushara ChamindaDepartment of Civil & Environmental Engineering,Faculty of Engineering, Uni. of Ruhuna

    Classification and

    characteristics of soils

  • Sieve and hydrometer analysis theory and tests, Particle-size distribution curve, Atterberg limits and their determinations, Classification of soils for engineering purposes, Standard classification systems

    Classification and

    characteristics of soils

  • Karl von Terzaghi (1883 -1963):

    An Austrian civil engineer and

    geologist, called the father of soil

    mechanics.

    He started modern soil mechanics

    with his theories of consolidation,

    lateral earth pressures, bearing

    capacity, and stability

  • Physical properties of soil Soil colour

    Use to determine nature of soil properties

    Soil texture

    Proportion of sand, silt and clay sized fractions

    As particle become smaller they have different properties (e.g. influence of surface areas on water holding capacity, cation exchange capacity and rate of weathering)

    Soil structure

    Shape size and distinctiveness of soil aggregates

    Blocky, spheriodal, platy and prismatic

    The finer textured the stronger the structure

    Determines soil porosity - effects water and air movement

  • Index Properties of Soil

    The laboratory tests, which provide information on physical

    properties of soil, are known as classification tests and

    numerical results of such tests are known as index

    properties.

    Soil materials having similar index properties are likely to exhibit similar

    engineering behavior.

    The index properties are of a great value to the civil engineer;

    provide means in the correlation of construction experience form a basis for information of the correctness of the field identification of

    a given material

    If the material is improperly identified, the index properties indicate theerrors and lead to correct classification

    Index properties may be divided into two general types:

    1. Soil Grain Properties

    2. Soil Aggregate Properties

  • Soil Grain Properties:

    Properties of the individual particles of which the soil is

    composed of and are independent in the manner of soil

    formation. These properties can be determined from

    distributed samples. Soil grain properties are commonly

    used for soil identification and classification.

    Soil Aggregate Properties:

    Depend on the structure and the arrangement of the

    particles in the soil mass. The soil aggregate properties

    have a greater influence on the engineering behavior of soil

    mass. The engineering behavior of a soil mass depends on

    its strength, compressibility and permeability characteristics.

  • It is a sort of labeling with different labels. It is more convenient

    to study the behavior of groups than that of individual soils

    As there is a wide variety of soils covering earth, it is desirable to

    systematize or classify the soils into broad groups of similar

    behavior.

    Soil classification for engineering purpose is necessary to

    describe the many type of soil that exist in nature.

    Soil classification

  • Soil classification divides soils into groups and subgroups based

    on common engineering properties such as grain-size

    distribution, liquid limit and plastic limit.

    Soil classification permits us to solve many problems related to

    soils and guide the test programs if the difficulty and importance

    of the problem dictates further investigations.

    Soil classification .

  • Purpose of soil classification

    1. Provides a concise and systematic method for designating

    various types of soil

    2. Enables useful engineering conclusions to be made about

    soil properties

    3. Provides a common language which organizes the

    engineering knowledge of soil, and is a means of

    communication

  • 10

    Classifying soils into groups with similar behavior, in terms

    of simple indices, can provide geotechnical engineers a

    general guidance about engineering properties of the soils

    through the accumulated experience.

    Simple indices

    GSD, LL, PI

    Classification

    system

    (Language)

    Estimate

    engineering

    properties

    Achieve

    engineering

    purposes

    Communicate

    between

    engineers

  • Soils are basically divided into two broad categories

    called cohesion-less soils and cohesive soils. The

    differences depend on whether the individual particles

    are held together only as a result of;

    Gravity or external loads (cohesion-less soil)

    Inter-particle bonds (cohesive soil)

    Major Soil Groups

  • Granular ( or cohesionless) Soils:

    Include gravel, sand, non-plastic silt and combination of them.Sources of shear strength are the sliding friction andmechanical interlocking between the particles (compressivecontact forces). Soil particles do not tend to stick together. Theyare highly permeable.

    Cohesive Soils:

    Include clay or other soils with significant clay contents. Inter-particle bonding (which is independent of the normal load)provides the major part of the shear strength. Soil particles tendto stick together. They are less permeable

    Major Soil Groups

  • Major Soil Groups Clay:magnified about 1,600 times

    Sand grain: magnified about 40 times

    Source: The Nature and Properties of Soils, 8th edition,

    Macmillan Publishing Co

  • Granular Soils

    High shear strength - Large bearing capacity

    Small lateral pressure; High permeability (easily drained)

    Good backfill materials for retaining walls

    Relatively small settlements

    Good embankment material

    Good foundation materials for supporting roads and structures

    Engineering properties of granular soils are affected by

    Grain sizes

    Shapes

    Grain-size distribution

    Compactness

  • Cohesive Soils

    Sticky, plastic, and compressible

    Expand when wetted; Shrink when dried

    Creep (deform plastically) over time under constant load(when the shear stress is approaching its shear strength)

    Develop large lateral pressure

    Not good for retaining wall backfills

    Low permeability or Impervious

    Good core materials for earthen dams and dikes

    Lower shear strength

    Generally undesirable engineering properties

  • 1) Particle size characteristics

    The particle size analysis of a soil sample involves determining

    the percentage by mass of particles within the different size

    ranges.

    2) Liquid limit and plasticity index (Atterberg Limits)

    Plasticity is an important characteristic in the case of fine soils,

    the term plasticity describing the ability of a soil to undergo

    unrecoverable deformation without cracking or crumbling.

    Most commonly used soil classification tests;

    Most soil classifications employ very simple index-type tests to obtain the

    characteristics of the soil needed to place it in a given group. The most

    commonly used characteristics are particle size and plasticity. The particle

    size distribution and the Atterberg limits are useful index tests inherently

    involves disturbance of the soil, they may not give a good indication of the

    behavior of the in situ, undisturbed soil.

  • Particle size characteristics

  • 18

    0.002 4.750.075

    Grain size (mm)

    Boulder

    Clay Silt Sand Gravel Cobble

    Fine grain

    soils

    Coarse grain

    soils

    Granular soils or

    Cohesionless soils

    Cohesive

    soils

    Characterization of Soils Based on Particle Size

    Unified Soil Classification System (USCS)

  • Comparison of four systems for describing soils based on

    particle size

    British Standards (BS)

    Unified Soil Classification System (USCS),

    American Association of State Highway and Transportation Officials (AASHTO)

    American Society for Testing and Materials (ASTM) (a modification of the USCS system)

  • 21

    Because of the particulate nature of soil, it isnatural to consider the size of particles for

    classification.

    This test is performed to determine the percentageof different grain sizes contained within a soil.

    The mechanical or sieve analysis is performed todetermine the distribution of the coarser, larger-

    sized particles, and the hydrometer method is used

    to determine the distribution of the finer particles.

    Characterization of Soils Based on Particle

    Size

  • Significance of Particle Size Distribution

    (Granular Size Distribution)

    The distribution of different grain sizes affects theengineering properties of soil

    Grain size analysis provides the grain size distribution, and itis required in classifying the soil.

    This test is conducted to know the relative proportions of different

    grain sizes. The particle size distribution is an important factor

    influencing the geotechnical characteristics of a coarse grain soil

  • Applications of particle size analysis:

    Selection of fill material for embankments and dams (i.e. well graded

    for better strength and high compaction)

    Selection of aggregate materials (i.e. sand for concrete). In

    exploration for sand and gravel, particle size analysis is the main

    criteria.

    Selection of materials for road sub-bases

    Drainage fillers (grading of material for filler requirements)

    Ground water drainage (largely depend on the portion of fine grained

    soil)

    Grouting and chemical injection

  • 24

    Drainage filter:

  • 25

    Selection of materials for road, dams, embankments :

  • 26

    Grouting and chemical injection

  • 27

    Grain Size Distribution (GSD)

    1) In coarse grain soils ... By sieve analysis

    Determination of GSD:

    2) In fine grain soils ... By hydrometer analysis

    Hydrometer Analysis

    soil/water suspension

    hydrometer

    stack of sieves

    Sieve Analysis

  • Very often, soils contain both coarse andfine grains and it is necessary to do both

    sieve and hydrometer analyses to obtain

    the complete grain size distribution data

    Sieve analysis is carried out first, and onthe soil fraction passing 75 m sieve, a

    hydrometer analysis is carried out

    Grain Size Distribution (GSD)

  • 29

    Sieve Analysis

  • Grain Size Analysis

  • Sieve Analysis

  • Sieve analysis is carried out by using a set of standard sieves

    A nest of sieves is prepared by stacking sieves one abovethe other with the largest opening at the top followed by

    sieves of successively smaller openings and a catch pan at

    the bottom.

    Sieves are made by weaving two sets of wires at right anglesto one another

    The square holes thus formed between the wires provide thelimit which determines the size of the particles retained on a

    particular sieve

    The sieve sizes are given in terms of the number of openingsper inch

    The number of openings per inch varies according to differentstandards.

    Sieve Analysis

  • 33

    Sieve Designation

    # 10 sieve

    Smaller sieves are numbered according to the number of

    openings per inch

    1-inch

    10 openings per

    inch

  • Two scales that are used to classify particle sizes are the US

    Sieve Series and Tyler Standard Sieve Series

  • 35

    (1) Write down the weight of each sieve as well as the bottom pan

    to be used in the analysis.

    (2) Record the weight of the given dry soil sample.

    (3) Make sure that all the sieves are clean, and assemble them in

    the ascending order of sieve numbers (#200 sieve at bottom).

    Place the pan below #200 sieve. Carefully pour the soil sample

    into the top sieve and place the cap over it.

    (4) Place the sieve stack in the mechanical shaker and shake for

    10 minutes.

    (5) Remove the stack from the shaker and carefully weigh and

    record the weight of each sieve with its retained soil. In

    addition, remember to weigh and record the weight of the

    bottom pan with its retained fine soil.

    Sieving procedure

  • 37

  • 38

    Sieve

    Shaker

  • 39

    (1)Obtain the mass of soil retained on each sieve by

    subtracting the weight of the empty sieve from the mass of

    the sieve + retained soil, and record this mass as the

    weight retained on the data sheet. The sum of these

    retained masses should be approximately equals the initial

    mass of the soil sample. A loss of more than two percent is

    unsatisfactory.

    (2)Calculate the percent retained on each sieve by dividing the

    weight retained on each sieve by the total sample mass.

    (3)Calculate the percent passing (or percent finer) by starting

    with 100 percent and subtracting the percent retained on

    each sieve as a cumulative procedure.

    Data Analysis:

  • 40

  • Example : Total weight of sample = 600g

  • In science and engineering, a semi-log graph or semi-logplot is a way of visualizing data that are changing with an

    exponential relationship.

    One axis is plotted on a logarithmic scale.

    This kind of plot is useful when one of the variables beingplotted covers a large range of values and the other has

    only a restricted range

    The advantage being that it can bring out features in thedata that would not easily be seen if both variables had

    been plotted linearly

    Grain size distribution Curve

  • 43

    Grain size distribution Curve

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    % F

    iner

  • 44

    Grading curves

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    % F

    iner

    W Well graded

  • 45

    Grading curves

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    % F

    iner

    U Uniform

    W Well graded

  • 46

    Grading curves

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    % F

    iner

    P Gap graded

    U Uniform

    W Well graded

    Poorly

    Graded

  • Well-graded

    Uniform-graded

    Gap-graded

    Poorly

    Graded

  • Well Graded Uniformly Graded Gap Graded

  • 49

    0.0001 0.001 0.01 0.1 1 10 100

    0

    20

    40

    60

    80

    100

    Particle size (mm)

    % F

    iner

    x% of the soil has particles smaller than Dx

    D10

    10 %

    80 %

    D80

    Dx is the diameter corresponding to x% finer

    in the particle-size distribution

  • Particle-Size Distribution Curve

    1. Effective Size (D10)

    2. Uniformity Coefficient (Cu)

    3. Coefficient of Curvature (Cc)

    10

    60u

    D

    DC

    1060

    2

    30c

    DD

    DC

    10% Finer Hydraulic Conductivity

  • Particle-Size Distribution Curve

    Criteria for Well-Graded Soil (USCS)

    sands)(for

    6Cand3C1

    gravels)(for

    4Cand3C1

    uc

    uc

  • 52

    What is the Cu for a soil with only one grain size?

    1D

    DC

    uniformityoftCoefficien

    10

    60u

    D

    % F

    iner

    Grain size distribution, mm

  • Aggregations of particles not thoroughly broken.

    Overloading sieves

    Sieves shaken for too short a period or with

    inadequate motions

    Broken or deformed sieve screens.

    Loss of material during the analysis process

    Possible Errors in Sieve Analysis

  • Hydrometer analysis

    (Sedimentation)

  • Particle Size Distribution - Sedimentation

    For particles 75m (silt and clay fractions)sedimentation methods based on Stokes law are used

    to deduce particle size distribution.

    Soil particles settle in aqueous solution attainingterminal velocities proportional to their mass and size.

    The amount of suspended soil after a given settlingtime is used to determine particle size fractions.

    The amount of soil in suspension is determined byeither extracting a sample by the pipette method or

    from a direct hydrometer reading.

  • What is a Hydrometer?

    Device used to determine directly thespecific gravity of a liquid

    Consists of a thin glass tube closed atboth ends

    Large bulb contains lead shot to causethe instrument to float upright in liquid.

    Scale is calibrated to indicate thespecific gravity of the liquid.

  • Required Test Equipment

  • Measure Sample

    Collect 50 g of fine soil, passing through No. 200 (0.075mm)

    from mechanical sieving procedure

  • Dispersion agent

    Add sample to 125 ml of 40g/L Sodium Hexometaphosphateas deflocculating solution. (sodium oxalate or sodium silicate

    may also used)

    Allow to soak for 12~16 hours

    Finer grains of soil carry charges on their surface and hence have a

    tendency to form flocs. Thus if the floc formation is not prevented the grain

    diameter obtained would be the diameter of flocs and not of the individual

    grain. Hence in sedimentation analysis, deflocculating agents are to be

    added.

  • Mix sample with spatula to dislodge settled particles

    Pour sample into mixing cup

    Use distilled water to rinse beaker

  • Add distilled water to the soil in mixer cup to make it about two-thirds full.

    Mix using mixer for 2~3 minutes

    Sample Preparation

  • Pour the mix into the standard sedimentation 1000mLcylinder.

    Make sure that all of the soil solids are washed out of themixer cup.

    Fill the graduated cylinder with distilled water to bring thewater level to 1000 cc mark

    The suspension in the cylinder is then shaken forapproximately 1 min by placing the palm of the hand overthe open end and turning the cylinder upside down andback

    Sample Preparation

  • Set the jar on the bench and record the time. This is time (t=0) on

    your data sheet.

    Take a hydrometer reading and temperature reading at prescribed

    intervals (, , 1, 2, 5, 10, 20 minutes, 1hr, 2hr, 4hr, 8hr, 16hr, 24 hr

    etc, approximately doubling the previous time interval).

    Take frequent temperature measurements of suspension. Hydrometer

    readings should be taken in the distilled water with same amount of

    dispersion agent at regular time intervals.

    After each reading the hydrometer is put into the transparent cylinder

    Starting the Test

  • Stokes Law

    Gravitational Force

    Buoyancy Force

    (weight of displaced liquid)

    Drag Force (exerted by

    the surrounding liquid)

    g)3r4(F 3sg

    grF fb )34(3

    Vr6Fd l....density liquid [kg/m

    3]

    s ...density solid [kg/m3]

    r.....radius sphere [m]

    g ....acceleration of gravity [m/s2]

    V....settling velocity [m/s]

    dynamic viscosity [kg/m s]

    Three forces acting on a spherical particle.

    Gravitaional

    Bouyancy

    Drag

    Buoyancy and drag forces act against the gravitational force.

    dbgi FFF0F

  • The three forces acting upon the settling particle quickly equilibrate and the particle

    reaches a constant settling velocity

    We can solve the force balance equation to obtain the settling velocity

    Since the velocity (V) equals length per time we can calculate the time particles of a

    certain size need to settle through a distance L,:

    t is the time required for particles of a certain size to settle

    below a certain depth L.

    Stokes Law :

    dbgi FFF0F

    186

    3

    4

    3

    40

    233 gdVVrg

    rg

    r fsfs

    gd

    Lt

    gd

    t

    LV

    fs

    fs

    2

    2

    )(

    18

    18

  • All particles are

    in suspension

    Only Silt and Clay

    particles are

    in suspension

    Only Clay

    particles are

    in suspension

    StartAfter Hours

    After Minutes

    Hydrometer Analysis

    V1 V2

  • Example of Hydrometer

    Calibration Curve

    L

    L

    67

  • Corrections should be done for effect of Meniscus

    and Dispersion agents

    Meniscus correction :

  • Assumptions used for Hydrometer test

    Particles are large enough to be unaffected by thethermal (Brownian) motion of the fluid molecules

    All particles are rigid, spherical, and smooth

    All particles have the same density

    The suspension is dilute enough that particles donot interfere with each other

    Fluid flow around the particles is laminar. Thatmeans no particle exceeds the critical velocity for

    the onset of turbulence

    69

  • Oven drying may cause permanent changes in the particle sizes.

    Unequal density of soil particles

    Affect from Brownian motion

    Soil particles are not truly spherical

    Unsatisfactory type or quantity of dispersing agent (may form flocs) .

    Insufficient shaking or agitating of suspension in cylinder at start of test.

    Too much soil in suspension.

    Disturbance of suspension while inserting or removing hydrometer.

    Stem of hydrometer not clear.

    Dirt or grease on the stem may prevent full development of the meniscus.

    Nonsymmetrical heating of suspension.

    Excessive variation in temperature of suspension during test.

    Loss of material after test.

    Possible Errors in Hydrometer Analysis

    70

  • Modern methods for particle size analyses

    -Optical Microscopy

    -Sieving with digital image processing

    - Transmission/Scanning Electron Microscopy

    - X-ray attenuation

    - Particle counting (Coulter method)

    - Light Scattering and Laser Diffraction Methods

    71

  • Soil Consistency

    72

  • Soil Consistency

    Soil consistence provides a means of describing the

    degree and kind of cohesion and adhesion between the soil

    particles as related to the resistance of the soil to deform

    or rupture

    Soil Behave Like:

    SOILD at very low moisture content

    LIQUID at very high moisture content

    73

  • Consistency is a term used to indicate the degree of firmness ofcohesive soils. The consistency of natural cohesive soil deposits is

    expressed qualitatively by such terms as very soft, soft, stiff, very

    stiff and hard

    The physical properties of clays greatly differ at different watercontents. A soil which is very soft at a higher percentage of water

    content becomes very hard with a decrease in water content

    However, it has been found that at the same water content, twosamples of clay of different origins may possess different

    consistency. One clay may be relatively soft while the other may be

    hard. Further, a decrease in water content may have little effect on

    one sample of clay but may transform the other sample from almost

    a liquid to a very firm condition

    Water content alone, therefore, is not an adequate index ofconsistency for engineering and many other purposes.

    Soil Consistency :

    74

  • Strength decreases as water content increases

    Soils swell-up when water content increases

    Fine-grained soils at very high water content possess

    properties similar to liquids

    As the water content is reduced, the volume of the soil

    decreases and the soils become plastic

    If the water content is further reduced, the soil becomes

    semi-solid when the volume does not change

    Water Content Significantly affects properties of Silty and

    Clayey soils. Plasticity property describes the response of a

    soil to change in moisture content.

    Plasticity property :

    75

  • At a very low moisture content, soil behaves more like

    a solid. When the moisture content is very high, the

    soil and water may flow like a liquid. Hence, on an

    arbitrary basis, depending on the moisture content,

    the behavior of soil can be divided into 4 basic states:

    solid, semisolid, plastic, and liquid.

    76

  • 77

    Plasticity

    Soils can be in any one of 4 physical states

    (based on water content)

    Water Content

    Plastic LiquidSemi-

    solidSolid

    Vo

    lum

    e

  • Atterberg Limits

    Albert Atterberg,

    a Swedish scientist,

    considered the

    consistency of soils in

    1911, and proposed a

    series of tests for defining

    the properties of cohesive

    soils.

    78

  • Introduction of Atterberg Limits to

    the field of geotechnical

    engineering was due to Karl

    Terzaghi, who came to realize its

    importance at a relatively early

    stage of his research. Terzaghisassistant, Arthur Casagrande,

    standardized the tests in his paper

    in 1932 and the procedures have

    been followed worldwide ever

    since.

    79

  • 80

    Atterberg LimitsThe presence of water in fine-grained soils can significantly affect

    associated engineering behavior, so we need a reference index to

    clarify the effects

  • Soil Consistency - Atterberg Limits

    1. Solid

    2. Semi-Solid

    3. Plastic

    4. Liquid

    Shrinkage Limit (SL)

    Plastic Limit (PL)

    Liquid Limit (LL)

    Plasticity Index

    (PI) = PL - LL

    Mo

    istu

    re C

    on

    ten

    t (w

    )

    +

    _Depending on Moisture Content soil can be divided into:

    81

  • 82

    Liquid

    LimitPlastic

    Limit

    Shrinkage

    Limit

    Water Content

    Plastic LiquidSemi-

    solidSolid

    SL PL LL

    Plasticity Index

    PI

    Volume

    Atterberg limits are the points at which the soil

    changes phase. Atterberg limits also depend on

    the type of predominant mineral in the soil

  • 83

    The liquid limit: is the moisture content that defines where the

    soil changes from a plastic to a viscous fluid state and begins

    to flow.

    The plastic limit: is the moisture content that defines where the

    soil changes from a semi-solid to a plastic (flexible) state.

    Shrinkage Limit (SL) is defined as the moisture content at

    which no further volume change occurs with further reduction in

    moisture content

    Atterberg limits are the points at which the

    soil changes phase

    Plasticity Index (PI) is the difference between the liquid limit

    and plastic limit of a soil

    PI = LL PL

  • Source: Budhu, 201084

  • 85

    Liquid Limit-LL

    Cone Penetrometer Method

    (BS 1377)

    This method is developed by the Transport and Road Research Laboratory, UK.

    Casagrande Method(ASTM D4318)

    Professor Casagrande standardized the test and developed the liquid limit device.

  • 86

    Casagrande

    Method for LL

    (ASTM D4318)

  • LL is defined as the moisture content (%) required to

    close a 2-mm wide groove in a soil pat a distance of

    12.7 mm along the bottom of the groove after 25 blows

    87

  • The liquid limit is determined from an apparatus that consists of a

    semispherical brass cup that is repeatedly dropped on to a hard rubber base

    from a height of 10 mm by a cam operated mechanism

    A dry powder of the soil (100g, passing through No:40) is mixed with distilled

    water into a paste and placed in the cup to a thickness of about 12.7 mm (1/2

    inch). The soil surface is smoothed and a groove is cut into the soil using a

    standard grooving tool

    The crank operating the cam is turned at a rate of 2 revolutions per second,

    and the number of blows required to close the groove over a length of 12.7 mm

    (1/2 inch) is counted and recorded.

    A specimen of soil within the closed portion is extracted for determination of

    the water content.

    The liquid limit is defined as the water content at which the groove cut into the

    soil will close over a distance of 12.7 mm (1/2 inch) following 25 blows.

    This is difficult to achieve in a single test. Four or more tests at different water

    contents are usually required for terminal blows (number of blows to close the

    groove over a distance of 12.7 mm) ranging from 10 to 50.88

  • CASAGRANDE METHOD

    89

  • 90

  • Liquid Limit - Measurement

    Liquid Limit (LL) at N = 25

    Flow Index = If = Slope of the flow curve (flow curve in the plot of water content vs

    number of blows in log scale)

    91

  • Second Method

    Fall Cone Method BS1377

    Liquid Limit - Measurement

    92

  • Liquid Limit - Measurement

    Liquid Limit (LL) at d = 20 mm

    Fall Cone Method BS1377

    93

  • 94

    Plastic Limit

    The minimum water content at which a soil will just beginto crumble when it is rolled into a thread of approximately3 mm in diameter.

  • 95

    Plastic Limit w% procedure

    Take 15~20g of soil used for LL test

    Prepare several ellipsoidal-shaped soil masses by quizzing

    the soil with your hand.

    Put the soil in rolling device, and roll the soil until the thread

    reaches 3.0~3.2mm.

    Continue rolling until the thread crumbles into several pieces.

    Determine the moisture content of about 6g of the crumbled

    soil (obtain 3 data and take the average).

  • 96

  • The plasticity index (PI) is the difference between the liquid

    limit and the plastic limit of a soil: PI = LL-PL

    Plasticity index indicates the degree of plasticity of a soil

    The greater the difference between liquid and plastic limits,

    the greater is the plasticity of the soil

    A cohesion-less soil has zero plasticity index. Such soils are

    termed non-plastic.

    Fat clays are highly plastic and possess a high plasticity

    index.

    The plasticity index is important in classifying fine-grained

    soils. It is fundamental to the Casagrande plasticity chart,

    which is currently the basis for the Unified Soil Classification

    System

    Plasticity index (PI)

    97

  • Plasticity index (PI)

    98

  • Prof. Donald M.Burmister (1949) classified the

    plasticity index in a qualitative manner as follows

    99

  • 1) Plasticity Index (PI), =Ip = LL - PL

    2) Liquidity Index (LI)PL

    PL

    LL

    LI

    Important consistency relationships :

    The relative consistency of a cohesive soil in the natural state

    can be defined by liquidity index (LI). w in situ moisture

    content of soil. The in situ moisture content for a sensitive clay

    may be greater than the liquid limit. In this case: LI < 1

    Soil deposits that are heavily over consolidated may have a

    natural moisture content less than the plastic limit.

    In this case: LI > 1

    100

  • 3) Consistency Index (CI)PL

    LL

    LLCI

    If w = LL, the CI= 0 and if w = PI, then CI = 1

    4) Flow Index = If = Slope of the flow curve(flow curve in the plot of water content vs number of blows in

    log scale)

    101

  • Plasticity Chart (USCS)Casagrande (1932) studied the relationship of the plasticity

    index to the liquid limit of a wide variety of natural soils and

    proposed a plasticity chart

    20 100500

    20

    0

    40

    60

    Liquid Limit

    Liq

    uid

    Lim

    it

    SiltsClays

    High

    plasticity

    Low

    plasticity

    35

    Intermediate plasticity

    102

  • 103

    LL Values < 16 % not realistic

    16 Liquid Limit, %

    PI, %

  • 104

    LL Values > 50 - HIGH

    Liquid Limit, %

    PI, %

    50

    H

  • 105

    LL Values < 50 - LOW

    Liquid Limit, %

    PI, %

    50

    L

  • 106

    Plasticity Chart

    (Holtz and Kovacs, 1981)

    LL

    PI

    HL

    The A-line generally

    separates the more

    claylike materials

    from silty materials,

    and the organics

    from the inorganics.

    The U-line indicates

    the upper bound for

    general soils.

    Note:

    If the measured limits of soils are on the left of U-line, they should be rechecked.

  • 107

    Unified Soil Classification System (USCS)

    Origin of USCS:

    This system was first developed by Professor A. Casagrande (1948) for the

    purpose of airfield construction during World War II. Afterwards, it was

    modified by Professor Casagrande, the U.S. Bureau of Reclamation, and

    the U.S. Army Corps of Engineers to enable the system to be applicable to

    dams, foundations, and other construction (Holtz and Kovacs, 1981).

    Soil classification determined base on the soil parameter;

    Diameter of soil particle

    Gravel : pass sieve no.3 but retained at sieve no. 4

    Sand : pass sieve no. 4 but retained at sieve no. 200

    Silt and Clay : pass sieve no. 200

    Coefficient of soil uniform (Cu, Cc)

    Atterberg Limits

  • Unified Soil Classification System (USCS

  • 109

    Symbols:

    Soil symbols:

    G: Gravel

    S: Sand

    M: Silt

    C: Clay

    O: Organic

    Pt: Peat

    Liquid limit symbols:

    H: High LL (LL>50)

    L: Low LL (LL

  • 110

    USCS-Summary

    (Holtz and Kovacs, 1981)

  • THE FLOW CHART OF USCS METHOD

    Make visual examination of soil to determine

    whether it is HIGHLY ORGANIC, COARSE

    GRAINED, or FINE GRAINED, ini borderline

    cases determine amount passing No. 200 sieve

    HIGHLY ORGANIC SOIL (Pt)

    Fibrous texture, color, odor, very high

    moisture content, particle of vegetable

    matter (sticks, leaves, etc.)

    COARSED GRAINED

    50% or less pass No.200 sieve

    FINE GRAINED

    More than 50% pass No.200 sieve

    111

  • FLOWCHART OF USCS METHOD (CONTINUED)

    COARSED GRAINED

    50% or less pass No.200 sieve

    Run sieve analysis

    GRAVEL (G)

    Greater percentage of coarse

    fraction retained on No. 4 sieve

    SAND (S)

    Greater percentage of coarse

    fraction pass on No. 4 sieve

    Less than 5%

    pass No. 200

    sieve *

    Between 5% and 12%

    pass No. 200 sieve

    more than 12%

    pass No. 200

    sieve

    Examine grain size

    curve

    Borderline. to have double

    symbol appropriate to grading

    and plasticity characteristic,

    e.g. GW-GM

    Run LL and PL on

    minus No. 40

    sieve fraction

    Well

    Graded

    Poorly

    Graded

    GW GP

    Below A line and

    hatched zone on

    plasticity chart

    Limits plot in

    hatched zone on

    plasticity chart

    Above A line and

    hatched zone on

    plasticity chart

    GM GM-GC GC

    Less than 5%

    pass No. 200

    sieve *

    Between 5% and 12%

    pass No. 200 sieve

    more than 12%

    pass No. 200

    sieve

    Examine grain size

    curve

    Borderline. to have double

    symbol appropriate to grading

    and plasticity characteristic,

    e.g. GW-GM

    Run LL and PL on

    minus No. 40

    sieve fraction

    Well

    Graded

    Poorly

    GradedBelow A line and

    hatched zone on

    plasticity chart

    Limits plot in

    hatched zone on

    plasticity chart

    Above A line and

    hatched zone on

    plasticity chart

    SW SP SM SM-SC SC

    112

  • 113

    Between 5% and 12%?

    (passing sieve No:200)

  • FINE GRAINED

    More than 50% pass

    No.200 sieve

    Run LL and PL on minus No.40

    sieve material

    L

    Liquid Limit

    less than 50

    H

    Liquid Limit

    more than 50

    Below A line and hatched

    zone on plasticity chart

    Limits plot in hatched

    zone on plasticity

    chart

    Above A line and hatched

    zone on plasticity chart

    Color, odor, possibly LL

    and PL on oven dry soil

    Organic Inorganic

    Below A line on

    plasticity chart

    Above A line on

    plasticity chart

    Color, odor, possibly LL

    and PL on oven dry soil

    Inorganic Organic

    OL ML ML-CL CL MH OH CH

    FLOWCHART USCS METHOD (CONTINUED)

    114

  • Soil group Symbol Recommended name

    Coarse soils 35% fines Liquid limit%

    SILT M

    MG Gravelly SILT

    MS Sandy SILT

    ML, MI... [Plasticity subdivisions as for CLAY]

    CLAY C

    CG Gravelly CLAY

    CS Sandy CLAY

    CL 90 CLAY of extremely high plasticity

    Organic soils O [Add letter 'O' to group symbol]

    Peat Pt [Soil predominantly fibrous and organic]

    British Soil Classification System

    115

  • Example :

    A sample of soil was tested in the laboratory with the following results:

    Liquid limit = 30%

    Plastic limit = 12%

    Sieve analysis data:

    Classify the soil by the Unified Soil Classification System

    U.S. Sieve Size Percentage Passing

    3/8 in. 100.0

    No. 4 76.5

    No. 10 60.0

    No. 40 39.7

    No. 200 15.2

  • Example Soil A