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    Laboratory 2Hydrometer Analysis

    Atterberg Limits

    Sand Equivalent Test

    INTRODUCTION

    Grain size analysis is widely used for the classification of soils and for specifications of soil

    for airfields, roads, earth dams, and other soil embankment construction. The hydrometer

    analysis determines the relative proportions of fine sand, silt and clay contained in a given soil

    sample. A knowledge of the range of moisture content over which a soil will exhibit a certain

    consistency is beneficial to the understanding of how a soil might behave when used as a

    construction material. The Atterberg limits, which include the liquid limit and plastic limit, are

    readily accepted in the engineering community as an objective measure of consistency.When coarse soil particles (sand and gravel) are used as a construction material, their

    suitability and behavior is influenced by the amount of clay fines that may be present after

    processing. The Sand equivalent test, developed to provide and indication of the clay content

    of a coarse aggregate, may be used as an indicator for specification compliance.

    HYDROMETER ANALYSIS

    A hydrometer analysis is required to determine the particle size distribution for that portion of

    the soil which passes through a No. 200 sieve (0.075 mm). The test is conducted on that

    fraction of a soil sample which passes through a No. 10 sieve (2 mm); however the sand

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    f f

    Prior to the conduct of the hydrometer test, the hydrometer bulb (151 H) is calibrated to the

    dispersing solution and prevalent test temperatures. This is simply accomplished by obtaining

    hydrometer readings in a 5g/l sodium hexametaphosphate solution at two or moretemperatures. The 151 H hydrometer bulb is manufactured to provide a reading of 1.000

    when placed in pure distilled water at 21 oC. Because the sodium hexametaphosphate

    solution has a specific gravity greater than 1, a hydrometer reading in excess of 1.000 will be

    obtained. The difference between this reading and unity is considered as a composite

    correction factor which is applied to all subsequent hydrometer readings of the soil-water

    suspension.

    To provide reasonably accurate results, a soil sample must be completely broken down into

    individual soil grain prior to testing. This is accomplished by thorough wetting and mixing of

    the soil in a dispersing agent. A concentrated solution of water and sodium

    hexametaphosphate (40g/l) is used for this purpose. After complete dispersion, the soil-water

    suspension is introduced into a 1 litre settlement tube and diluted with distilled water such that

    the resulting sodium hexametaphosphate solution a concentration of 5g/l. Successive, timed

    measurements of the specific gravity of the soil-water suspension, using a calibrated

    hydrometer bulb, provides an indication of the maximum size of a soil particle still insuspension and the proportion of soil fines still in suspension. These values are then used to

    compute the percent of soil by weight finer than a given diameter.

    ATTERBERG LIMITS

    When clay minerals are present in fine grained soil, the soil can be remolded in the presence

    of some moisture without crumbling. In the early 1900's, a Swedish soil scientist named Albert

    Atterberg proposed a set of six rather arbitrary states of soil moisture content to assist

    agriculturists in determining field agricultural conditions. He termed the divisions between

    these six states as limits, known as the shrinkage, cohesive, sticky, plastic and liquid

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    Unlike finer soil particles, gravels and sands do not possess the required cohesiveness which

    permits the Atterberg limits tests to be performed. However, the finer sands and silts often

    contain sufficient clay coatings to permit the tests to be successfully completed. Thus theAtterberg tests are performed on only that soil fraction which passes through a No. 40 sieve

    (0.425 mm).

    Shrinkage Limit

    The shrinkage limit is defined as the moisture content at which no further volume change

    (reduction) occurs with a further reduction in moisture content. An alternative definition defines

    the shrinkage limit as the moisture content representing the amount of water required to fill the

    voids in a given cohesive soil at its minimum void ratio obtained by drying.

    Plastic Limit

    The plastic limit is defined as the moisture content at which a soil thread just begins to crack

    and crumble when rolled to a diameter of 1/8" (3 mm).

    Liquid Limit

    The liquid limit is defined as the moisture content at which a 2-mm-wide groove in a soil pat

    will close for a distance of " (12.5 mm) when dropped 25 times in a standard brass cup,

    falling 1 cm each time at a rate of 2 drops per second.

    SAND EQUIVALENT TEST

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    OBJECTIVE: To obtain data necessary for the classification of a soil.

    EQUIPMENT: 151H Hydrometer bulb, scale, sodium hexametaphosphate dispersion solution, mixing

    apparatus, beaker, sedimentation cylinder, thermometer, liquid limit device, porcelain dish, spatula, balance,

    moisture content cans, glass plate, distilled water, drying oven, sand equivalent apparatus, working calcium

    chloride solution.

    REFERENCE SPECIFICATIONS: ASTM D 422-63, D 2419-74

    LAB PROCEDURES:

    Part 1 - Hydrometer Calibration (Data Sheet 1)

    1. Select and clean a 151H hydrometer bulb and record the identifier number.

    2. Obtain hydrometer calibration readings in each of the the 1 L graduated cylinders filled with a 5g/L

    solution of sodium hexametaphosphate in distilled water. Record the temperature of the solutions to

    0.5 oC.

    Part 2 - Sedimentation Test (Data Sheet 2)

    1. Obtain a 100 g sample of air-dried soil (minus #10 soil from Lab 1) and place in a 400-mL beaker.

    Cover with 125 mL of concentrated sodium hexametaphosphate solution (40g/L). Stir until the soil is

    thoroughly wetted and allow to soak for at least 15 minutes. After soaking transfer the soil-water slurry

    from the beaker into the dispersion cup, washing any residue from the beaker with distilled water. Add

    distilled water, if necessary, to fill the dispersion cup approximately half full. Mix the suspension in

    the mixer for 1 min.

    2. Immediately after mixing, wash the specimen into a 1 L graduated cylinder and add enough distilledwater to bring level to the 1 L mark.

    3. Mix soil and water in cylinder by placing a rubber stopper over the open end and turning the graduate

    id d d b k f 1 i Th b f t d i thi i t h ld b 60

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    3. Place the 200 g of soil on a glass plate and add about 15 ml of distilled water. Mix soil and water

    thoroughly using an alternate of repeated stirring, kneading and chopping action with the spatula.

    Continue adding water at the rate of 1 to 3 milliliter increments and thoroughly mix each increment into

    the soil before adding the next. Enough water should be thoroughly mixed to produce a consistency

    that will require 25 to 35 drops of the cup to cause the groove to close.

    4. Place a portion of the prepared soil mixture in the cup of the liquid limit device at the point where the

    cup rests on the base, squeeze it down, and spread it into the cup to a depth of about 10 mm at its

    deepest point, tapering it to form an approximately horizontal surface. Take care to eliminate airbubbles from the soil pat but form the pat with as few strokes as possible. Heap the unused soil on

    the glass plate and cover with an inverted storage dish or wet towel.

    5. Form a groove in the soil pat by drawing the tool through the soil on a line joining the highest point to

    the lowest point on the rim of the cup. Hold the grooving toll against the surface of the cup and draw

    in an arc, maintaining the tool perpendicular to the surface of the cup. Avoid tearing the sides of the

    soil groove and do not permit the soil pat to slide in the cup. Up to six strokes are permitted to form

    the groove.

    6. Using a continual motion of the crank, lift and drop the cup at the rate of two drops per second. Record

    the number of drops of the cup required to cause the two halves of the soil pat to flow together for a

    distance of 13 mm (1/2 in).

    7. Remove a slice of soil approximately the width of the spatula, extending from edge to edge of the soil

    cake at right angles to the groove and including that portion of the groove in which the soil flowed

    together. Record the mass of the moist soil and moisture tin to the nearest 0.01g. Place the tin in

    a drying oven.

    8. Return the soil remaining in the cup to the glass plate. Wash and dry the cup and grooving tool and

    reattach the cup to the carriage. Remix the entire soil specimen on the glass plate adding distilled

    water to increase the water content of the soil and decrease the number of blows required to close the

    t b t 20 t 30 bl

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    2. From the 20 g mass, select a portion of 1.5 to 2.0 g and form into an ellipsoid. Cover the remaining

    soil with a moist towel. Roll this mass between the palm or fingers and the glass plate with just

    sufficient pressure to roll the mass into a thread of uniform diameter throughout its length. When the

    diameter of the thread becomes 3 mm, break the thread into several pieces. Squeeze the pieces

    together, knead between the thumb and first finger of each hand, reform into an ellipsoid, an re-roll.

    Continue to alternate rolling, gathering, kneading, and re-rolling until the thread crumbles under the

    pressure required for rolling and the soil can no longer be rolled into a 3 mm diameter thread.

    3.Gather the portions of the crumbled thread together and place in a moisture tin and immediately cover.

    4. Repeat steps 2 and 3 until the moisture tin contains at least 6 g of moist soil. Record the mass of

    the moist soil and tin (without cover) to the nearest 0.01g. Place the moist soil and tin in a drying

    oven.

    5. Repeat steps 2 through 4 to produce another moisture tin containing at least 6 g of soil. Record the

    mass of the moist soil and tin (without cover) to the nearest 0.01g. Place the moist soil and tin in a

    drying oven.

    6. Record the mass of the oven dried soil and moisture tin to the nearest 0.01g.

    Part 5 - Sand Equivalent Test (Data Sheet 4)

    1. Obtain a 500 g sample of soil passing the No. 4 sieve. Fill one tin measure to the brim or slightly

    rounded above the brim.

    2. Siphon approximately 4 in of working calcium chloride solution into the plastic cylinder. Pour the soil

    sample into the cylinder using the funnel to avoid spillage. Allow the wetted specimen and cylinder

    to stand for approximately 10 min.

    3. After the 10 min soaking period, hold the cylinder in a horizontal position and shake vigorously in a

    horizontal linear motion from end to end. Shake the cylinder 90 cycles (back and forth motion) in

    i t l 30 d i th f 9 i h

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    P '1000 G

    SP

    10

    MS

    R & 1

    GS & 1

    D ' K L

    T

    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    CALCULATIONS:

    1. Using the hydrometer calibration data from Data Sheet 1, prepare a linear plot of the composite

    correction factor vs temperature and develop an equation to predict the composite correction factor for

    any intermediate temperature. Using the equation below, complete Data Sheet 2 to determine the grain

    size distribution of the soil sample. Plot these results in combination with Lab 1 dry sieve data and

    develop a single, smooth grain size distribution curve for the soil sample.

    The percentage (P) of soil remaining in suspension and the largest diameter (D) of soil in suspension

    at the level of the hydrometer are calculated as:

    where: P = percentage of soil in suspension, %

    GS= specific gravity of soil particles (Lab 1)

    P10= percent of original soil sample which passes No.10 sieve (Lab 1)

    Ms= dry mass of soil, g

    R = corrected hydrometer reading (hydrometer reading - composite correction factor)

    D = diameter of soil particle, mm

    K = constant depending temperature and specific gravity of the soil (Table 1)L = effective depth, equal to the distance from the surface of the suspension to the level at which

    the density of the suspension is being measured, cm (Table 2).T = time of hydrometer reading, min.

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    DATA SHEET 1

    HYDROMETER CALIBRATION DATA

    HydrometerReading

    Temperature of 5g/L

    SodiumHexametaphosphate

    Solution

    C

    CompositeCorrection

    Factor

    SOIL DATA

    Weight of Beaker, g

    Weight of Beaker + Dried Soil, g

    Weight of Dried Soil, g (Ms)

    P10(Lab 1)

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    DATA SHEET 2

    TimeElapsed

    Timemin

    Hydrom.Reading

    TempoC

    Comp.Corr.

    Factor

    Corr.Hydrom.Reading

    R

    KFactor

    (Table 1)

    EffectiveDepth

    (Table 2)L

    Percent ofSoil in

    Suspension

    ParticleDiameter

    mm

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    CEEN 162 - Geotechnical Engineering

    Laboratory Session No. 3 - Liquid Limit and Plastic Limit Tests

    LAB DATA SHEET 3

    LIQUID LIMIT TESTS

    Trial 1 Trial 2 Trial 3

    Moisture Tin Number

    Moisture Tin Wt, g

    Number of Drops

    Wt. Wet Soil + Tin, g

    Wt. Oven-Dry Soil + Tin, g

    Calculations

    Wt. Water, g

    Wt. Oven-Dry Soil, g

    Moisture Content, w,%

    PLASTIC LIMIT TESTS

    Trial 1 Trial 2

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    DATA SHEET 4

    SAND EQUIVALENT DATA

    Soil

    Sample

    Clay

    Readinginch

    Sand

    Readinginch

    Sand

    Equivalent(1)

    100% S

    95%S - 5%C

    90%S - 10%C

    Lab Sample

    (1) Sand Equivalent = 100% x (Sand Reading / Clay Reading)

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    Table 1: Values of K for Computing Particle Diameter in Suspension

    TemperatureoC

    Gs

    2.45 2.50 2.55 2.60 2.65 2.70 2.75 2.80

    16 0.01510 0.01505 0.01481 0.01457 0.01435 0.01414 0.01394 0.01374

    17 0.01511 0.01486 0.01462 0.01439 0.01417 0.01396 0.01376 0.01356

    18 0.01492 0.01467 0.01443 0.01421 0.01399 0.01378 0.01359 0.01339

    19 0.01474 0.01449 0.01425 0.01403 0.01382 0.01361 0.01342 0.01323

    20 0.01456 0.01431 0.01408 0.01386 0.01365 0.01344 0.01325 0.01307

    21 0.01438 0.01414 0.01391 0.01369 0.01348 0.01328 0.01309 0.01291

    22 0.01421 0.01397 0.01374 0.01353 0.01332 0.01312 0.01294 0.0127623 0.01404 0.01381 0.01358 0.01337 0.01317 0.01297 0.01279 0.01261

    24 0.01388 0.01365 0.01342 0.01321 0.01301 0.01282 0.01264 0.01246

    25 0.01372 0.01349 0.01327 0.01306 0.01286 0.01267 0.01249 0.01232

    26 0.01357 0.01334 0.01312 0.01291 0.01272 0.01253 0.01235 0.01218

    27 0.01342 0.01319 0.01297 0.01277 0.01258 0.01239 0.01221 0.01204

    28 0.01327 0.01304 0.01283 0.01264 0.01244 0.01225 0.01208 0.01191

    29 0.01312 0.01290 0.01269 0.01249 0.01230 0.01212 0.01195 0.01178

    30 0.01298 0.01276 0.01256 0.01236 0.01217 0.01199 0.01182 0.01165

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    Table 2: Effective Depth vs 151 H Hydrometer Reading

    Corrected

    Hydrometer

    Reading

    Effective

    Depth, L

    (cm)

    Corrected

    Hydrometer

    Reading

    Effective

    Depth, L

    (cm)

    1.000 16.3 1.020 11.0

    1.001 16.0 1.021 10.7

    1.002 15.8 1.022 10.5

    1.003 15.5 1.023 10.2

    1.004 15.2 1.024 10.0

    1.005 15.0 1.025 9.7

    1.006 14.7 1.026 9.4

    1.007 14.4 1.027 9.2

    1.008 14.2 1.028 8.9

    1.009 13.9 1.029 8.6

    1.010 13.7 1.030 8.4

    1.011 13.4 1.031 8.1

    1.012 13.1 1.032 7.8

    1.013 12.9 1.033 7.6

    1.014 12.6 1.034 7.3

    1 015 12 3 1 035 7 0

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    15

    0.001 0.01 0.1 1 10

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Grain Size, mm

    %P

    assing

    CEEN 162 - Hydrometer Test Results

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    16

    1 10 100

    10

    12

    14

    16

    18

    20

    22

    24

    26

    28

    30

    Drops

    WaterCon

    tent,%

    CEEN 162 - Liquid Limit Test Results

    25

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    EXAMPLE DATA SHEET 1

    HYDROMETER CALIBRATION

    Hydrometer

    Reading

    Temperature of Sodium

    Hexametaphosphate

    Solution (5g/L)

    Composite

    Correction

    Factor

    1.004 21.5 .004

    1.002 24.5 .002

    SOIL DATA

    Weight of Beaker, g 325.8

    Weight of Beaker + Dried Soil, g 425.7

    Weight of Dried Soil, g 99.9

    P10(Lab 1) 89.5

    Specific Gravity of Soil Solids, GS, (Lab 1) 2.75

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    18

    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    EXAMPLE DATA SHEET 2

    Time

    Elapsed

    Timemin

    Hydrom.Reading

    TempoC

    Comp

    CorrFactor

    (1)

    Corr

    HydromReading

    R(2)

    K

    Factor(Table 1)

    (3)

    Effective

    Depth(Table 2)

    L(4)

    Percent of

    Soil inSuspension

    (5)

    Particle

    Diametermm

    (6)

    9:04:00 0

    9:05:30 1.5 1.0380 23.5 0.0026 1.0354 0.012783 6.9 49.9 0.027

    9:06:00 2 1.0370 23.5 0.0026 1.0344 0.012783 7.2 48.5 0.024

    9:06:30 2.5 1.0360 23.5 0.0026 1.0334 0.012783 7.5 47.1 0.022

    9:07:30 3.5 1.0340 23.5 0.0026 1.0314 0.012783 8.0 44.3 0.019

    9:10:00 6 1.0310 23.0 0.0029 1.0281 0.012790 8.9 39.6 0.016

    9:14:00 10 1.0280 23.0 0.0029 1.0251 0.012790 9.7 35.4 0.013

    9:24:00 20 1.0260 23.0 0.0029 1.0231 0.012790 10.2 32.5 0.009

    9:34:00 30 1.0250 23.0 0.0029 1.0221 0.012790 10.4 31.1 0.008

    9:44:00 40 1.0240 23.0 0.0029 1.0211 0.012790 10.7 29.7 0.007

    9:54:00 50 1.0240 23.1 0.0028 1.0212 0.012789 10.7 29.8 0.006

    10:04:00 60 1.0230 23.0 0.0029 1.0201 0.012790 11.0 28.3 0.005

    (1) Determined from equation developed from hydrometer calibration data(2) Hydrometer reading - composite correction factor(3) Determined from Table 1 based on temperature and specific gravity of soil solids(4) Determined from Table 2 based on corrected hydrometer reading(5) Calculated based on equation provided; P = fn {Gs, P10, Ms, R}(6) Calculated based on equation provided; D = fn {K, L, T}CEEN 162 - Geotechnical EngineeringLaboratory Session No. 2 - Liquid Limit and Plastic Limit Tests

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    EXAMPLE DATA SHEET 3

    LIQUID LIMIT TESTS

    Trial 1 Trial 2 Trial 3

    Moisture Tin Number A1 D1 E4

    Moisture Tin Wt, g 25.2 24.9 25.1

    Number of Drops 28 22 18

    Wt. Wet Soil + Tin, g 45.2 46.2 46.5

    Wt. Oven-Dry Soil + Tin, g 41.8 42.3 42.3

    Calculations

    Wt. Water, g 3.4 3.9 4.2

    Wt. Oven-Dry Soil, g 16.6 17.4 17.2

    Moisture Content, w,% 20.5 22.4 24.4

    PLASTIC LIMIT TESTS

    Trial 1 Trial 5

    Moisture Tin Number A2 J2

    Moisture Tin Wt, g 24.8 25.3

    Wt. Wet Soil + Tin, g 30.9 32.2

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    CEEN 162 - Geotechnical Engineering - Laboratory Session No. 2

    Grain Size Determination (Hydrometer Method), Atterberg Limits, Sand Equivalent Test

    DATA SHEET 4

    SAND EQUIVALENT DATA

    Soil

    Sample

    Clay

    Reading

    inch

    Sand

    Reading

    inch

    Sand

    Equivalent

    (1)

    100% S 4.3 4.1 96

    95%S - 5%C 4.4 3.8 87

    90%S - 10%C 5.3 3.6 68

    Lab Sample 13.2 1.1 9

    (1) Sand Equivalent = 100% x (Sand Reading / Clay Reading)

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    21

    21 22 23 24 25

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    4.5

    Temperature, C

    CompositeCorrectionFactor(x10^-3)

    CEEN 162 - Lab 2

    Hydrometer Calibration Data

    Y = 0.018333 - 0.000667 X

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    22

    0.001 0.01 0.1 1 10

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Grain Size, mm

    %P

    assing

    CEEN 162 - Hydrometer Test Results

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    23

    1 10 100

    10

    12

    14

    16

    18

    20

    22

    24

    26

    28

    30

    Drops

    WaterCon

    tent,%

    CEEN 162 - Liquid Limit Test Results

    LL = 21.6 = 22

    25

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    24

    0 10 20 30 40 50 60 70 80 90 100

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    % Clay

    Sand

    Equivalent

    CEEN 162 - Sand Equivalent Test Results