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    Subgrade

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    Desirable Properties of Sub Grade Soil

    Stability

    Incompressibility

    Permanency of strength

    Minimum changes in volume and stability under adverse conditions

    of weather and ground water

    Good drainage, and

    Ease of compaction

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    Characteristics of Subgrade Soil

    Load bearing capacity.

    able to support loads transmitted from the pavement structure

    without excessive deformation.

    Moisture content.

    Moisture tends to affect a number of subgrade properties

    including load bearing capacity, shrinkage and swelling.

    Shrinkage and/or swelling.

    soils with excessive fines content may be susceptible to frost

    heave in northern climates.

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    Subgrade Soil Properties and Functions

    one of the principal highway materials

    Foundation to the pavement

    The main function:

    to give adequate support to the pavement and for this the

    subgrade should possess sufficient stability under adverse

    climate and loading conditions.

    To bear the external loads

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    Effect of Poor Subgrade

    Flexible pavements

    The formation of waves

    Corrugations

    rutting and shoving in black top pavements

    Rigid pavements

    the phenomena of pumping

    blowing and

    consequent cracking

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    Types of Soil

    Gravel: coarse materials with particle size under 2.36 mm with little

    or no fines contributing to cohesion of materials.

    Moorum: products of decomposition and weathering of the

    pavement rock.

    Silts: finer than sand, brighter in color as compared to clay, and

    exhibit little cohesion.

    Clays: finer than silts. Clayey soils exhibit stickiness, high strength

    when dry, and show no dilatancy.

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    Tests on Soil

    Shear tests

    These tests are usually carried out on relatively small soil samples in

    the laboratory. In order to find out the strength properties of soil, a

    number of representative samples from different locations are

    tested. Some of the commonly known shear tests are direct shear

    test, Triaxial compression test, and unconfined compression test.

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    Bearing tests

    Bearing tests are loading tests carried out on sub grade soils in-situ

    with a load bearing area. The results of the bearing tests are

    influenced by variations in the soil properties within the stressed

    soil mass underneath and hence the overall stability of the part of

    the soil mass stressed could be studied.

    Tests on Soil

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    Penetration tests

    Penetration tests may be considered as small scale bearing tests in

    which the size of the loaded area is relatively much smaller and

    ratio of the penetration to the size of the loaded area is much greater

    than the ratios in bearing tests. The penetration tests are carried out

    in the field or in the laboratory.

    Tests on Soil

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    Stiffness and Strength Tests

    Stiffness

    the relationship between stress and strain in the elastic range or

    how well a material is able to return to its original shape and

    size after being stressed

    Strength

    the stress needed to break or rupture a material

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    Stiffness and Strength Tests

    California Bearing Ratio (CBR),

    Resistance Value (R-value),

    Resilient modulus and

    Modulus of Subgrade Reaction.

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    California Bearing Ratio (CBR) Test

    developed by the California Division of Highways around 1930

    simple strength test that compares the bearing capacity of a material

    with that of a well-graded crushed stone .

    To evaluate the strength of cohesive materials having maximum

    particle sizes less than 19 mm.

    CBR test, an empirical test, has been used to determine the material

    properties for pavement design.

    Empirical tests measure the strength of the material and are not a

    true representation of the resilient modulus.

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    It is a penetration test wherein a standard piston, having an area of 3

    in (or 50 mm diameter), is used to penetrate the soil at a standard

    rate of 1.25 mm/minute.

    The pressure up to a penetration of 12.5 mm and it's ratio to the

    bearing value of a standard crushed rock is termed as the CBR.

    In most cases, CBR decreases as the penetration increases.

    The ratio at 2.5 mm penetration is used as the CBR.

    In some case, the ratio at 5 mm may be greater than that at 2.5 mm.

    If this occurs, the ratio at 5 mm should be used.

    California Bearing Ratio (CBR) Test

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    The CBR is a measure of resistance of a material to penetration of

    standard plunger under controlled density and moisture conditions.

    The test procedure should be strictly adhered if high degree of

    reproducibility is desired.

    The CBR test may be conducted in re-moulded or undisturbed

    specimen in the laboratory.

    The test is simple and has been extensively investigated for field

    correlations of flexible pavement thickness requirement.

    California Bearing Ratio (CBR) Test

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    California Bearing Ratio (CBR) Test

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    The laboratory CBR apparatus consists of a mould 150 mm diameter

    with a base plate and a collar, a loading frame and dial gauges for

    measuring the penetration values and the expansion on soaking.

    The specimen in the mould is soaked in water for four days and the

    swelling and water absorption values are noted.

    The surcharge weight is placed on the top of the specimen in the

    mould and the assembly is placed under the plunger of the loadingframe. Load is applied on the sample by a standard plunger with

    diameter of 50 mm at the rate of 1.25 mm/min.

    California Bearing Ratio (CBR) Test

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    A load penetration curve is drawn. The load values on standard

    crushed stones are 1370 kg and 2055 kg at 2.5 mm and 5.0 mm

    penetrations respectively.

    CBR value is expressed as a percentage of the actual load causing

    the penetrations of 2.5 mm or 5.0 mm to the standard loads

    mentioned above. Therefore,

    California Bearing Ratio (CBR) Test

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    Two values of CBR will be obtained. If the value of 2.5 mm is

    greater than that of 5.0 mm penetration, the former is adopted.

    If the CBR value obtained from test at 5.0 mm penetration is higher

    than that at 2.5 mm, then the test is to be repeated for checking.

    If the check test again gives similar results, then higher value

    obtained at 5.0 mm penetration is reported as the CBR value.

    The average CBR value of three test specimens is reported as the

    CBR value of the sample.

    California Bearing Ratio (CBR) Test

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    Modulus of Subgrade Reaction

    The modulus of subgrade reaction (k) is used as a primary input for

    rigid pavement design.

    It estimates the support of the layers below a rigid pavement surface

    course (the PCC slab). The k-value can be determined by field tests or by correlation with

    other tests. There is no direct laboratory procedure for determining k-

    value.

    The modulus of subgrade reaction came about because work done by

    Westergaard during the 1920s developed the k-value as a spring

    constant to model the support beneath the slab.

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    Plate bearing test

    Plate bearing test is used to evaluate the support capability of sub-

    grades, bases and in some cases, complete pavement.

    Data from the tests are applicable for the design of both flexible and

    rigid pavements.

    In plate bearing test, a compressive stress is applied to the soil or

    pavement layer through rigid plates relatively large size and the

    deflections are measured for various stress values.

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    Plate bearing test

    The deflection level is generally limited to a low value, in the order

    of 1.25 to 5 mm and so the deformation caused may be partly elastic

    and partly plastic due to compaction of the stressed mass with

    negligible plastic deformation. The plate-bearing test has been devised to evaluate the supporting

    power of sub grades or any other pavement layer by using plates of

    larger diameter.

    The plate-bearing test was originally meant to find the modulus of

    sub grade reaction in the Westergaard analysis for wheel load

    stresses in cement concrete pavements.

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    Plate bearing test

    The test site is prepared and loose material is removed so that the 75

    cm diameter plate rests horizontally in full contact with the soil sub-

    grade.

    The plate is seated accurately and then a seating load equivalent to a

    pressure of 0.07 kg/cm2 (320 kg for 75 cm diameter plate) is applied

    and released after a few seconds.

    The settlement dial gauge is now set corresponding to zero load.

    A load is applied by means of jack, sufficient to cause an average

    settlement of about 0.25 cm.

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    Plate bearing test

    When there is no perceptible increase in settlement or when the rate

    of settlement is less than 0.025 mm per minute (in the case of soils

    with high moisture content or in clayey soils) the load dial reading

    and the settlement dial readings are noted.

    Deflection of the plate is measured by means of deflection dials;

    placed usually at one-third points of the plate near it's outer edge.

    To minimize bending, a series of stacked plates should be used

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    Plate bearing test

    Average of three or four settlement dial readings is taken as the

    settlement of the plate corresponding to the applied load.

    Load is then increased till the average settlement increase to a

    further amount of about 0.25 mm, and the load and average

    settlement readings are noted as before.

    The procedure is repeated till the settlement is about 1.75 mm or

    more.

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    Plate bearing test

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    Plate bearing test

    Allowance for worst subgrade moisture and correction for small

    plate size should be dealt properly.

    Calculation

    A graph is plotted with the mean settlement versus bearing pressure

    (load per unit area) as shown in Figure .

    The pressure corresponding to a settlement is obtained from this

    graph. The modulus of subgrade reaction is calculated from the

    relation.

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    Modulus of subgrade reaction (k)

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    The reactive pressure to resist a load is thus proportional to the

    spring deflection (which is a representation of slab deflection) and k

    Modulus of subgrade reaction (k)

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    Relation of Load, Deflection and Modulus ofSubgrade Reaction (K)

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    The value of k is in terms of MPa/m (pounds per square inch per

    inch of deflection, or pounds per cubic inch - pci) and ranges from

    about 13.5 MPa/m (50 pci) for weak support, to over 270 MPa/m

    (1000 pci) for strong support.

    Typically, the modulus of subgrade reaction is estimated from other

    strength/stiffness tests, however, in situ values can be measured

    using the plate bearing test.

    Modulus of subgrade reaction (k)

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    Plate Load Test

    The plate load test presses a steel bearing plate into the surface to be

    measured with a hydraulic jack.

    The resulting surface deflection is read from dial micrometers near

    the plate edge and the modulus of subgrade reaction is determined

    by the following equation:

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    Schematic Diagram of Plate Load Test

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    Modulus of subgrade reaction (k)

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    Relation between k and MR

    The 1993 AASHTO Guide offers the following relationship between

    k-values from a plate bearing test and resilient modulus (MR)

    k = MR/19.4

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    Stabilisation of Subgrade Soil

    Stabilization with a cementitious or asphaltic binder

    Lime (Lack of Stability)

    Portland Cement (Plasticity Index 10)

    Bitumen Emulsion (Sandy Soil & fines 0.075 mm)

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    Soil stabilisation with Lime

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    Soil stabilisation with Cement

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    Soil stabilisation with Bitumen Emulsion

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    Frost action

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    Freezing and Thawing

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    Climate Change

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    Climate Change

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    Effects of Climate Change

    Both pavement and supporting layers are exposed to strong climatic

    influences.

    The factors are

    Air temperature Soil Moisture

    The effects are

    Cracking

    Spalling or even blow out of some slabs.

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    Effect of Low Temperature

    Soil Shrinkage in cohesive soil, then cracks will be filled with waterduring next period of rain.

    Water in cracks is frozen due to depressed air temperatures, then a

    break-up in the soil mass may result.

    A temperature potential applied to soil will cause the movement of

    soil moisture from warmer regions to colder ones, thus changing the

    moisture distribution in the soil.

    Colder region is then exposed to freezing temperatures, themigrating moisture acts as a supply, which causes the growth of ice

    lenses under the pavement and may contribute to frost damage.

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    Effect of Rainfall

    Rain has influence on the stability and strength of the supporting

    medium because it affects the moisture content of the subgrade and

    sub-base.

    Also affects

    The elevation of the water table,

    The intensity of frost action, erosion, pumping and infiltration,

    Loss of strength during thaw period.

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    Moisture content will also vary with rainfall, this will in turn affect

    the expansion and contraction of the pavement.

    Long periods of rainfall of low intensity can be more adverse than

    short periods of high intensity.

    Because the amount of moisture absorbed by the soil is greatest

    under the former conditions.

    Effect of Rainfall

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    Moisture Condition

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    It includes both heave and loss of sub grade support during the

    frost-melt period.

    It may cause a portion of pavement to rise, due to ice crystal

    formation in a frost susceptible subgrade or base course.

    Thawing of the frozen soil and ice crystals during the spring period

    may cause pavement damage under loads.

    This damage usually results in high maintenance costs, requires

    heavy loads may prohibited during the critical period.

    It will result in economic loss for trucks and aircraft operation

    during this period.

    Effect of Frost action

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    Cracks From Excessive Pavement Contraction

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    Frost action can be quite detrimental to pavements and refers to two

    separate but related processes:

    Frost heave

    An upward movement of the subgrade resulting from the expansion

    of accumulated soil moisture as it freezes.

    Thaw weakening

    A weakened subgrade condition resulting from soil saturation as ice

    within the soil melts.

    Effect of Frost action

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    Formation of

    Ice Lenses in a

    Pavement

    Structure

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    Frost Heave

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    Where subgrade change from clean not frost susceptible (NFS)

    sands to silty frost susceptible materials.

    Abrupt transitions from cut to fill with groundwater close to the

    surface.

    Where excavation exposes water-bearing strata.

    Drains, culverts, etc., frequently result in abrupt differential heaving

    due to different backfill material or compaction and the fact thatopen buried pipes change the thermal conditions (i.e., remove heat

    resulting in more frozen soil).

    Frost Heave - Locations

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    Additional factors which will affect the degree of frost susceptibility

    (or ability of a soil to heave):

    Rate of heat removal

    Temperature gradient

    Mobility of water (e.g., permeability of soil)

    Depth of water table

    Soil type and condition (e.g., density, texture, structure, etc.)

    Frost Heave - Factors

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    Thaw Weakening

    Thawing is essentially the melting of ice contained within the

    subgrade.

    As the ice melts and turns to liquid it cannot drain out of the soil

    fast enough and thus the subgrade becomes substantially weaker

    (less stiff) and tends to lose bearing capacity.

    Therefore, loading that would not normally damage a given

    pavement may be quite detrimental during thaw periods (e.g.,spring thaw).

    i l d fl i ill i

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    Typical pavement deflections illustratingseasonal pavement strength changes

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    Freeze-thaw damage

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    Thawing process

    Thawing can proceed from the top downward, or from the bottom

    upward, or both.

    It depends mainly on the pavement surface temperature.

    During a sudden spring thaw, melting will proceed almost entirely

    from the surface downward.

    This type of thawing leads to extremely poor drainage conditions.

    The frozen soil beneath the thawed layer can trap the water releasedby the melting ice lenses so that lateral and surface drainage are the

    only paths the water can take.

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    Effect of Thawing

    Tabor (1930) also noted an added effect:

    "The effects of refreezing after a thaw are also accentuated by the

    fact that the first freeze leaves the soil in a more or less loosened or

    expanded condition."

    This observation shows that

    the reduced density of base or subgrade materials helps to

    explain the long recovery period for material stiffness or

    strength following thawing, and

    refreezing following an initial thaw can create the potential for

    greater weakening when the "final" thaw does occur.

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    Estimation the depth of frost penetration

    Modified Berggren Formula

    Stefan Formula

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    Stefan Formula

    the first studies of freeze/thaw depth were made by Josef Stefan in

    1889, in connection with ice formation and melting in the Polar

    oceans.

    It is assumed that the latent heat of soil moisture is the only heat

    that must be removed when freezing the soil.

    Thus, thermal energy stored as volumetric heat and released as soil-

    temperatures drop to and below freezing is not considered. Because

    volumetric heat is neglected,

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    the Stefan Formula tends to overestimate frost depth in temperate

    zones .

    The latent heat supplied by the soil moisture as it freezes a depth dx

    in time dt = rate at which heat is conducted to the ground surface.

    Heat removal process can be represented by (heat released by

    freezing a layer of soil dx thick in time dt)

    Stefan Formula

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    Stefan Formula

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    (heat conducted through frozen layer)

    and Q1 = Q2 so

    by integrating and solving for x,

    is in units of F hr and is called surface freezing index. The

    freezing index is normally expressed as F days. Thus, rewrite the

    equation and add an "n" factor which results in the Stefan formula:

    Stefan Formula

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    Modified Berggren Formula

    The modified Berggren formula was developed in the early 1950s to

    address the shortcomings of the Stefan formula.

    The modified Berggren formula assumes that the soil is a semi-

    infinite mass with uniform properties and existing initially at a

    uniform temperature (Ti).

    It is further assumed that surface temperature is suddenly changed

    from Tito T

    s(below freezing).

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    The modified Berggren formula is simply the Stefan formula

    corrected for the effects of temperature changes in the soil mass:

    where:

    X = depth of freeze or thaw, (ft))

    = dimensionless coefficient which takes into consideration the

    effect of temperature changes in the soil mass (i.e., a fudge factor).Corrects the Stefan formula for the neglected effects of volumetric

    heats (accounts for "sensible heat" changes)

    Modified Berggren Formula

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    K avg = thermal conductivity of soil, average of frozen and unfrozen

    (BTU/hr ft F)

    n = conversion factor for air freezing (or thawing) index to

    surface freezing (or thawing) index

    FI = air freezing index (F days)

    TI = air thawing index (F days)

    L = latent heat (BTU/ft3)

    Modified Berggren Formula

    1 BTU = 1 055.05585 joules

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    Determination of

    lcan be determined by chart based on inputs of a (thermal ratio) and

    m (fusion parameter).

    = f (FI (or TI), mean annual air or ground temperature,

    thermal properties of soil)

    = f(m , a) and can be read from chart

    = fusion parameter

    C = average volumetric heat capacity of a soil (BTU/ft3 F)

    L = latent heat (BTU/ft3)

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    |T f - Ts| = surface freezing (or thawing) index, nFI (or nTI)

    divided by length of freezing (or thawing) season. Represents

    temperature differential between average surface temperature and

    32 F taken over the entire freeze (or thaw) season.

    =

    d = length of freezing or thawing duration.

    For example, if the winter freezing season is December throughFebruary, then the duration of freezing (d) equals about 90 days.

    Determination of

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    T f = 32 F

    Ts = average surface temperature for the freezing

    (or thawing) period

    = thermal ratio

    T = average annual air or ground temperature

    |T T f| = represents the amount that the mean annual

    temperature exceeds (or is less than) the freezing

    point of the soil moisture (assumed to be 32 F).

    Determination of

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    Coefficient in the Modified Berggren Formula.

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    Pictorial representation of variables involved with l

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    Signal control for vehicle

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    Result?...

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