07we bond worked example anchored sheet pile wall

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  • 8/22/2019 07we Bond Worked Example Anchored Sheet Pile Wall

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    Background & Applications

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

    Worked example anc ore s ee p e

    w ll

    Dr Andrew Bond

    Director, Geocentrix Ltd

    Chairman TC250/SC7

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    Eurocodes:

    Background & Applications

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

    Worked example

    anchored sheet ile wall

    DESIGN SITUATION

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    Background & Applications

    w wor e examp es - une, u n

    Design situation for anchored sheet pile wall

    2005-13 Geocentrix Ltd. All rights reserved3

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    Background & Applications

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    Earth pressure theory

    Use Brinch Hansens equation for Ka,h

    (for a vertical wall):

    = +

    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

    2005-13 Geocentrix Ltd. All rights reserved4

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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

    2005-13 Geocentrix Ltd. All rights reserved5

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    Earth pressure 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

    2005-13 Geocentrix Ltd. All rights reserved6

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    Background & Applications

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    Worksheet DA1/DA2* anchored sheet pile

    Calculate:

    and Kp

    2. Overturning and restoring

    3. Depth of embedment neededto ensure equilibrium

    .and shear force along the wall

    5. Required anchor resistance6. Bending and shear resistance

    of sheet pile section

    2005-13 Geocentrix Ltd. All rights reserved7

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    Background & Applications

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

    Worked example

    anchored sheet ile wall

    SOLUTION

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    Background & Applications

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    Solutions DA1/DA2* anchored sheet pile

    Verification DA1 DA2*

    - -

    Depth ofembedment

    1.38 m 2.01 m 2.05 m

    Bending moment 296 kNm/m 303 kNm/m 331 kNm/mShear force 81.9 kN/m 81.7 kN/m 88.2 kN/m

    needed

    . . .

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    Summary of key points

    DAs 1 and 2* produce very similar depths of embedment, maximumbending moment and shear force along the wall, and requiredanchor resistance.

    larger anchor force (and shear force and bending moment) thatCombination 2 because the depth of embedment for equilibriumis so much shorter

    In standard DEU practice, rectangular earth pressure distributionsbut smaller bending moments

    2005-13 Geocentrix Ltd. All rights reserved10

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    Eurocodes:

    Background & Applications

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

    blo .eurocode7.com

    www.decodingeurocode2.com

    www.decodin eurocode7.com

    DECODING THE EUROCODES

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    Background & Applications

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

    Geotechnical designw wor ex m l

    eurocodes.jrc.ec.europa.eu