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    Compressibility & Settlement

    Settlement requirements often controlthe design of foundations

    This chapter provides a generaloverview of principles involved insettlement analysis

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    Case Studies

    (a)Leaning Tower, Pisa

    (b) Palacio de las BellasArtes, Mexico City

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    Palace of Fine Arts in Mexico CitySettled 3m!

    Lacustrine Clay deposited in former LakeTexcoco

    Av. Water content 281%, Void Ratio 6.90

    Groundwater withdrawal; increase ineffective stress

    Resulting Consolidation

    43-story Tower Latino Americana

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    Settlement

    Distortion Settlement (Immediate)

    Consolidation (Time Dependent)Secondary Compression

    time

    Settlement

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    Increase in Vertical Effective Stress

    Due to a Placement of a fill

    Due to an external load

    fillfillzzf H += 0

    ( )inducedzzzf += 0

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    Consolidation Settlement

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    Laboratory Consolidation Test

    v

    v

    Solids

    Voids

    Solids

    Voids

    Vs

    VvV

    v

    Vs

    1 Place sample in ring

    2 Apply load3 Measure height change

    4 Repeat for new load

    V

    Confiningstress

    Before After

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    Laboratory Consolidation Test

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    Consolidation Test

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    Compression Index andRecompression Index

    c

    eeC

    zbz

    bcc

    )(log)(log

    =

    czdz

    dc

    r

    eeC

    )(log)(log

    =

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    Compression Ratio andRecompression Ratio

    czbz

    czbzcc

    e

    CC

    )(log)(log

    )()(

    1 0

    =

    +=

    czdz

    czdzr

    r e

    CC

    )(log)(log

    )()(

    1 0

    =

    +

    =

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    Consolidation Plot

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    Consolidation Plot

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    Consolidation Plot

    5.5ft

    2.0ft

    tsfpsfftftpcfz 42.08360.2)4.621.128()5.5)(1.128( ==+=

    =109.4(1+0.171)

    = 128.1 pcf

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    e0

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    Normally and

    Over-Consolidated Soils

    czo = .. Normally consolidated

    czo .. Under consolidated

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    Over-Consolidation Margin &

    Over-consolidation Ratio

    zccm = .. Over-consolidationMargin

    zo

    cOCR

    = .. Over consolidation ratio

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    Typical Range of OC Margins

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    Compressibility of Sand andGravels (Table 3.7)

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    Example 3.3

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    Settlement PredictionsN.C. Clays

    +=

    00

    log1 z

    zfcc H

    e

    C

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    Settlement PredictionsO.C. Clays Case I

    +=

    00

    log1 z

    zfrc H

    e

    C

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    Settlement PredictionsO.C. Clays Case II

    +

    +

    +

    =c

    zfc

    z

    crc H

    e

    CH

    e

    C

    log

    1

    log

    1 000

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    Ex. 3.4

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    Example 3.4

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    Ex. 3.5

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    Example 3.5