03we Bond Worked Example T Shaped Gravity Wall

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    Background & Applications

    GEOTECHNICAL DESIGN wi th worked examples 13-14 June 2013, Dubli n

    T-shaped gravity wall

    Dr Andrew Bond

    Director, Geocentrix Ltd

    Chairman TC250/SC7

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    Worked example T-sha ed ravit wall

    DESIGN SITUATION

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    Design situation for gravity wall example

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    Earth pressure theory

    Use Rankines equation for Ka:

    = +

    2 2

    ,2 2

    a

    cos cos cosK cos

    cos cos cos

    Horizontal and vertical component of Ka are:

    = , ,a h aK K cos

    = = , , ,sin tana v a a hK K K

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    Some numbers to save you time...

    Self-weight of wall stem

    = , ,stem k c k s

    W t H

    Self-weight of wall base

    = =25 0.7 6 105 N m

    = , ,base k c k b

    W t B

    = =25 0.8 3.9 78 kN m

    Self-weight of backfill +

    =

    ,2

    f

    fill k k heel W b

    += =

    6 6.8219 2.25 274

    2kN m

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    Bearing capacity coefficients

    Nq

    Nq

    . .

    21 7.1 31 20.6

    22 7.8 32 23.2

    23 8.7 33 26.1

    24 9.6 34 29.4

    25 10.7 35 33.3

    26 11.9 36 37.8

    . .

    28 14.7 38 48.9

    29 16.4 39 56.0

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    Worksheet T-shaped gravity wall

    Calculate:

    2. Moments about wall toe, thedetermine eccentricity of

    3. Bearing resistance undereccentric, inclined loads

    .

    5. Toppling resistance

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    SOLUTION

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    Solutions DA1/DA2* T-shaped gravity wall

    Verification DA1 DA2* Traditional

    - -

    Sliding 66% 85% 99% Fs = 1.52

    Bearing 125% 230% 93% Fb = 2.03

    Eccentricity 0.92 m 0.64 m 0.42 m Same asDA2*Effective width 2.05 m 2.63 m 3.06 m

    Toppling 31% 31% 31% FO = 4.35

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    Summary of key points

    DA2* requires a wall base of width B 3.9 m

    = =

    DA1 requires a wall base of width B 5.1 m

    qu va en o ra onas

    = . anb

    = .

    Main difference between DAs 1 and 2* is bearing resistance

    Calculated load eccentricity is very different

    Effective width is much smaller in DA1

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    blo .eurocode7.com

    www.decodingeurocode2.com

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    DECODING THE EUROCODES

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