Uplift Calculations 4-11-04

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    Tighter Engineering International Pty LtdLot 31 Old Hume Highway

    Alpine NSW 2!

    AustraliaTel" #1$2$%&&'$%#&' (a)* #1$2$%&&'$%!2

    DRIVING TEST SHOULD BE MADE ON SITE TO ESTABLISH THE TRUE PERFORMANCE OF AN

    The following sheets perform calculations to determine the ultimate resistance (i.e. failure load) of vari

    The calcualtions are based on the theory presented by Meyerhoff and Adams (eference Meyerhoff !

    $The ultimate uplift capacity of foundations$ %anadian !eotechnical #ournal &ol ' o. ov *+,- pp

    The 01*232 and 42 anchors have been modelled as rectangular anchors having e5uivalent bearing

    The 4,2 and 4**2 anchors have been modelled as circular anchors of e5uivalent bearing area

    6n the calculation sheets you can change the soil properties of density7 friction angle and cohesion in

    9lots are presented on separate sheets for : clay soils soft7 firm and stiff with cohesions of 27 '2 an

    loose7 meduim dense and dense sands7 as well as for an intermediate soil with a cohesion of 2 ;9a

    !ary %hapman nd. ovember 22

    E$mail wal+had,primu-"+om"au

    THE SOIL PROPERTIES USED IN THESE CALCULATIONS ARE TYPICAL FOR THE SOIL TYPESTHEREFORE, THESE CALCULATIONS DO NOT ACCURATELY REPRESENT SPECIFIC SIGHT C

    THESE CALCULATIONS REPRESENT THE CALCULATED UPLIFT CAPACITY OF ANCHORS INSVERTICAL OR SEMI-VERTICAL DIRESTION ONLY

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      HORS

      ous sized TEI anchors

      .! " Adams #.I.

    '/)

      areas

      the yellow bo8es7 as well as the anchor dimensions

    *22 ;9a7 and for 

    nd a friction angle of 2 degrees

    LISTEDNDITIONS

      ALLED IN A

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    * *.' .' : :.' .' ' '.' ,

    2.22

    '.22

    *2.22

    *'.22

    2.22

    '.22

    :2.22

    SH10/20Ancho G!o"!chn#c$% R!&"$nc!

    0oft%lay

    ense0and

    >ense0and

    D!'"h ()*

       U   %   "   #  )  $   "  !   P  +   %   %   O  +   "   L  o  $   ,   (   -   N   *

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    TEI E$"h Ancho C$%c+%$"#on&

    Ancho SH10/20

    Meyerhof and Adams 0hallow rectangular>eep rectangular 

    L

    01*232 length ? *:' mm width ?

    %lays / @ ? 27 density ? *-

    2 '2 *22

    C%$. &o#%  friction angle @ ? 2 ;9a ;9a ;9a

    D!'"h H H/B %#)#"#n

    ()* H/B (N* BLc

    *. :.2 ,.2-

    2cH(B 3 L*2.' *2.22 .22 2.2, 2. *.-' :.2

    * 2.22 .22 2.* 2. *.-' :.2

    *.' :2.22 .22 2.*- 2. *.-' :.2

    2.22 .22 2. 2. *.-' :.2

    .' '2.22 .22 2.:2 2. *.-' :.2

    : ,2.22 .22 2.:, 2. *.-' :.2

    :.' 2.22 .22 2.: 2. *.-' :.2

    -2.22 .22 2.+ 2. *.-' :.2

    .' +2.22 .22 2.'' 2. *.-' :.2

    ' *22.22 .22 2.,* 2. *.-' :.2'.' **2.22 .22 2., 2. *.-' :.2

    , *2.22 .22 2.: 2. *.-' :.2

    S$n. c%$. &o#%

    friction angle @ ? 2 degrees >ensity ? *-

    undrained shear strength c ? 2 ;9a

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' :.2 .' 2.*: *.* 2.::' 2.*+

    * .* .' 2., *.* 2.::' 2.-*.' **.** .' 2.:+ *.* 2.::' 2.,

    *.-* .' 2.' *.* 2.::' *.2'

    .' *-.' .' 2., *.* 2.::' *.:

    : . .' 2. *.* 2.::' *.,

    :.' '.+: .' 2.+2 *.* 2.::' *.+*

    +.,: .' *.2: *.* 2.::' .2

    .' ::.:: .' *.*, *.* 2.::' .-

    ' :.2 .' *.+ *.* 2.::' .

    '.' 2. .' *. *.* 2.::' :.2,

    , . .' *.'' *.* 2.::' :.:

    Loo&! &$nfriction angle @ ? :2 degrees >ensity ? *

    soft 0u ? 2 firm 0

    u ? '2 stiff 0

    u ? *22

    c ? 0u

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

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    2.'

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' :.2 2.* *.', 2.' 2.:2

    * .* 2. *.,2 2.' 2.+'*.' **.** 2.: *.,2 2.' *.,2

    *.-* 2.+ *.,2 2.' .'

    .' *-.' 2.,* *.,2 2.' .+2

    : . 2.: *.,2 2.' :.'

    :.' '.+: 2.-' *.,2 2.' .*+

    +.,: 2.+ *.,2 2.' .-

    .' ::.:: *.*2 *.,2 2.' '.+

    ' :.2 *. *.,2 2.' ,.*

    '.' 2. *.: *.,2 2.' ,.+

    , . *., *.,2 2.' .

    M!#+) !n&! &$nfriction angle @ ? :' degrees >ensity ? *-

    2.,:',

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' :.2 ' 2.*: *.+: 2.' 2.:

    * .* ' 2., .' 2.,' *.+

    *.' **.** ' 2.:+ .' 2.,' .,*

    *.-* ' 2.' .' 2.,' :.

    .' *-.' ' 2., .' 2.,' .-,

    : . ' 2. .' 2.,' '.++:.' '.+: ' 2.+2 .' 2.,' .**

    +.,: ' *.2: .' 2.,' -.

    .' ::.:: ' *.*, .' 2.,' +.:,

    ' :.2 ' *.+ .' 2.,' *2.+

    '.' 2. ' *. .' 2.,' **.,*

    , . ' *.'' .' 2.,' *.

    D!n&! &$n

    friction angle @ ? 2 degrees >ensity ? *+

    2.:'*:+

    D!'"h H/B %#)#"#n H()* H/B (N*  ? *B m13C

    2.' :.2 2.* .:2 2.' 2.:+

    * .* 2. :.'+ 2.+' .*

    *.' **.** 2.* .' 2.+' '.2'

    *.-* 2.' .' 2.+' .'*

    .' *-.' 2.,- .' 2.+' +.+

    : . 2.- .' 2.+' *.

    :.' '.+: 2.+' .' 2.+' *.--

    +.,: *.2+ .' 2.+' *.:

    .' ::.:: *. .' 2.+' *+.-2

    ' :.2 *.:, .' 2.+' .,'.' 2. *.'2 .' 2.+' .*

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

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    , . *.,: .' 2.+' .*

    S+))$.

    01*232 %A=%D=ATE> A%16 %A9A%IT (;)

    SOIL TYPE

    2.' 2.-2 *.+* :., .* 2. 2.'2

    * 2.-, *.+ :.- .'- *.*+ *.'

    *.' 2.+ .2: :.-- :.22 *.+, :.22

    2.+- .2+ :.+ :. .: .'

    .' *.2 .*' .22 :.-: :.'2 '.'*

    : *.*2 .* .2, .' . ,.,

    :.' *.* .- .*: .,, '.2' -.2*

    *. .: .*+ '.2- '.- +.

    .' *. .2 .' '.+ ,.'+ *2.'

    ' *. ., .:* '.+* .:, **.-

    '.' *. .' .: ,.: -.*: *:.2:

    , *. .'- .: ,. -.+2 *.-

    >epth(m) 0oft

    %layense0and

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    B

    '2 mm @ 13C

    2 *

    *2 *.'

    2 .'

    ' :

    :2

    :' '

    2

    050 11 678 ' +

    058 17 652 - **

    02 206 655

    05 20 69

    109 21: 900

    110 221 908

    117 225 916

    122 269 91

    122 290 92:

    122 298 961122 2:2 967

    122 2:5 996

    *.* m ? 2.2'

    2.,'+-

    (N*

    *.-' 217

    *.-' 2:5*.-' 600

    *.-' 692

    *.-' 656

    *.-' 92:

    *.-' 988

    *.-' :05

    *.-' :9

    *.-' :1

    *.-' 862

    *.-' 879

    *., m ? 2.*'

    Tu ? c>(C B =) B g>

    (0f C B = / C)4utan@ B FT

    u ? c1(C B =) B g(> / 1)(0

    f C B = / C)14

    utan@ B F

    0f? * B m13C or *B m>3C

    ;3m:

    0f ma8 ?

    T+

    0f ma8 ?

    ,

    -

    *2

    *

    f(8) ? 2.+,*2+-

       L   #  )   #   "   #  n     H   /   B

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    (N*

    092

    1118

    276

    6:0

    927

    :0:

    :52

    8:

    768

    516

    50

    .' m ? 2.'

    (N*

    0:0

    17:

    600

    92:

    ::1

    878501

    27

    10:2

    1175

    1606

    1925

    .' m ? 2.:'

    (N*

    0:2

    29:

    :98

    50:

    108:

    1629

    1:56

    1596

    2102

    26822821

    T+

    0f ma8 ?

    T+

    0f ma8 ?

    T+

    2 *2 2

    2

    F#c"#on A

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    2550

    2.'

    .'

    '.,

    -.2'

    *2.,'

    *:.

    *'.-:

    *-.:

    *.2

    :.,

    ,.*

    -.-2

    >ense0and

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    m

    2 *

    2.2' *.2,

    2.2' *.*

    2.* *.:

    2.*' *.,

    2.' .'

    2.:' .'

    2.' '.'

    2., .,

    Ma8 0f 

      8p( 2.2'22+* 8 )

    13C

    E8ponential (13C)

    m

    Ma8 0f 

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    :2 2 '2

     

    %! ;

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    * *.' .' : :.' .' ' '.' ,

    2.22

    *2.22

    2.22

    :2.22

    2.22

    '2.22

    ,2.22

    2.22

    -2.22

    ense

    0and

    D!'"h ()*

       U   %   "   #  )  $   "  !   P  +   %   %   O  +   "   L  o  $   ,   (   -   N   *

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    TEI E$"h Ancho C$%c+%$"#on&

    Ancho eep rectangular 

    L

    42 length? , mm width ?

    %lays / @ ? 27 density ? *-

    2 '2 *22

    C%$. &o#%  friction angle @ ? 2 ;9a ;9a ;9a

    D!'"h H H/B %#)#"#n

    ()* H/B (N* BLc

    :.* .+: *'.-2cH(B 3 L*

    2.' ,.* .22 2.*, *.+2 . +.-

    * *.- .22 2.: *.+2 . +.-

    *.' *+.: .22 2.- *.+2 . +.-

    '., .22 2.,: *.+2 . +.-

    .' :.2' .22 2.+ *.+2 . +.-

    : :-., .22 2.+' *.+2 . +.-

    :.' .- .22 *.** *.+2 . +.-

    '*.- .22 *. *.+2 . +.-

    .' '.,+ .22 *.: *.+2 . +.-

    ' ,.*2 .22 *.'+ *.+2 . +.-

    '.' 2.'* .22 *.' *.+2 . +.-, ,.+ .22 *.+2 *.+2 . +.-

    S$n. c%$. &o#%

    friction angle @ ? 2 degrees >ensity ? *-

    undrained shear strength c? 2 ;9a

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' .* .' 2.:, *.** 2.' 2.:'

    * . .' 2. *.* 2.',' *.*:

    *.' ,., .' *.2- *.* 2.',' *.+* -.-' .' *. *.* 2.',' .2

    .' **.2, .' *.-* *.* 2.',' :.+

    : *:. .' .* *.* 2.',' .

    :.' *'.+ .' .': *.* 2.',' '.2,

    *.2 .' .-+ *.* 2.',' '.-

    .' *+.+* .' :.' *.* 2.',' ,.,:

    ' .* .' :.,* *.* 2.',' .

    '.' .: .' :.+ *.* 2.',' -.2

    , ,.'' .' .:: *.* 2.',' -.++

    Loo&! &$n

    friction angle @ ? :2 degrees >ensity ? *

    soft 0u ? 2 firm 0

    u ? '2 stiff 0

    u ? *22

    c ? 0u

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

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    2.'

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' .* 2.: *.:: 2.' 2.

    * . 2.,- *.,2 2.+2 *.+:*.' ,., *.2 *.,2 2.+2 :.2

    -.-' *.:, *.,2 2.+2 '.,

    .' **.2, *.2 *.,2 2.+2 .

    : *:. .2' *.,2 2.+2 -.++

    :.' *'.+ .:+ *.,2 2.+2 *2.'

    *.2 .: *.,2 2.+2 *.'

    .' *+.+* :.2 *.,2 2.+2 *.-

    ' .* :.* *.,2 2.+2 *,.2

    '.' .: :.' *.,2 2.+2 *.-*

    , ,.'' .2+ *.,2 2.+2 *+.'

    M!#+) !n&! &$nfriction angle @ ? :' degrees >ensity ? *-

    2.,:',

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    2.' .* ' 2.:, *.'' 2.' 2.'

    * . ' 2. .** * .',

    *.' ,., ' *.2- .' *.*: '.,

    -.-' ' *. .' *.*: -.2

    .' **.2, ' *.-* .' *.*: **.:

    : *:. ' .* .' *.*: *.,:.' *'.+ ' .': .' *.*: *.+

    *.2 ' .-+ .' *.*: 2.-

    .' *+.+* ' :.' .' *.*: :.-'

    ' .* ' :.,* .' *.*: ,.--

    '.' .: ' :.+ .' *.*: +.+*

    , ,.'' ' .:: .' *.*: :.+

    D!n&! &$n

    friction angle @ ? 2 degrees >ensity ? *+

    2.:'*:+

    D!'"h H/B %#)#"#n H()* H/B (N*  ? *B m13C

    2.' .* 2.:- *. 2.' 2.'

    * . 2., .'' * .,-

    *.' ,., *.* :.: *.' .:,

    -.-' *.' .*2 *.'- *.-

    .' **.2, *.+* .' *.'- .:'

    : *:. .+ .' *.'- -.-+

    :.' *'.+ ., .' *.'- :'.:

    *.2 :.2' .' *.'- *.+,

    .' *+.+* :.: .' *.'- -.'2

    ' .* :.-* .' *.'- ''.2'.' .: .*+ .' *.'- ,*.'-

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

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    , ,.'' .' .' *.'- ,-.*

    S+))$.

    01*232 %A=%D=ATE> A%16 %A9A%IT (;)

    SOIL TYPE

    2.' .2, .+2 +., '.' 2.- 2.-+

    * .* '.2, +.-2 ,.'+ ., :.-

    *.' .: '. +.+, . . ,.'

    .': '.:- *2.* -.-+ ,.- *2.*

    .' .,+ '.' *2.- *2.2: -.+: *:.':

    : .-' '.,+ *2. **.*- **.2: *,.+

    :.' :.2* '.-' *2.,2 *.:: *:.* 2.:

    :.* ,.2* *2.' *:. *'. :.*

    .' :.* ,.* *2.+* *., *.:' .*2

    ' :.* ,.:: **.2 *'. *+.' :2.+

    '.' :.* ,.+ **.: *,.+ *.', ::.--

    , :.* ,.,' **.:+ *-.2, :.,, :.

    >epth(m) 0oft

    %layense0and

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    B

    - mm @ 13C

    2 *

    *2 *.'

    2 .'

    ' :

    :2

    :' '2

    208 90 89 ' +

    221 :08 50 - **

    267 :22 8

    2:6 :65 1012

    28 ::9 1025

    25: :8 1099

    601 :5: 1080

    617 801 107:

    617 817 101

    617 866 1107

    617 89 1126617 88: 116

    *.* m ? 2.2'

    2.,'+-

    (N*

    . :9:

    . 8:

    . 779. 55

    . 1006

    . 1115

    . 1266

    . 1697

    . 1982

    . 1:77

    . 182

    . 1508

    *., m ? 2.*'

    Tu ? c>(C B =) B g>

    (0f C B = / C)4utan@ B FT

    u ? c1(C B =) B g(> / 1)(0

    f C B = / C)14

    utan@ B F

    0f? * B m13C or *B m>3C

    ;3m:

    0f ma8 ?

    T+

    0f ma8 ?

    ,

    -

    *2

    *

    f(8) ? 2.-

       L   #  )   #   "   #  n     H   /   B

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    (N*

    075

    282972

    852

    56

    1106

    1619

    1:29

    176:

    19:

    21:8

    2688

    .' m ? 2.'

    (N*

    05

    625

    87:

    1019

    16:6

    1822062

    2671

    2710

    609

    6655

    6727

    .' m ? 2.:'

    (N*

    00

    699

    5:0

    1860

    292:

    6117

    650

    9:01

    :16

    :55:8:77

    T+

    0f ma8 ?

    T+

    0f ma8 ?

    T+

    2 *2

    2

     

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    728

    2.+2

    :.

    -.'2

    *,.:2

    .'

    :*.*

    :-.2+

    '.2*

    '*.+:

    '-.-'

    ,'.

    .,+

    >ense0and

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    m

    2 *

    2.2' *.2,

    2.2' *.*

    2.* *.:

    2.*' *.,

    2.' .'2.:' .'

    2.' '.'

    2., .,

    Ma8 0f 

      ',,*2:: e8p( 2.2'*': 8 )

    13C

    E8ponential (13C)

    mMa8 0f 

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    2 :2 2 '2

     

    F#c"#on An%! ;

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    * *.' .' : :.' .' ' '.' ,

    2.22

    2.22

    2.22

    ,2.22

    -2.22

    *22.22

    *2.22

    *2.22

    ense0and

    D!'"h ()*

       U   %   "   #  )  $   "  !   P  +   %   %   O  +   "   L  o  $   ,   (   -   N   *

  • 8/9/2019 Uplift Calculations 4-11-04

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    TEI E$"h Ancho C$%c+%$"#on&

    Ancho eep circular 

    B

    4,2 2, mm eff diam

    %lays / @ ? 27 density ? *-

    2 '2 *22

    C%$. &o#%  friction angle @ ? 2 ;9a ;9a ;9a

    D!'"h H/B %#)#"#n

    ()* H/B (N*

    ,.22 *'.22 :2.22

    * .-' *.22 2.,2 ., ,., *:.::

    +.* *.22 *.2 ., ,., *:.::

    : *.', *.22 *.-2 ., ,., *:.::

    *+. *.22 .2 ., ,., *:.::

    ' . *.22 :.22 ., ,., *:.::

    , +.*: *.22 :.,2 ., ,., *:.::

    S$n. c%$. &o#%

    friction angle @ ? 2.22 cohesion >ensity ? *-

    degreees '2 ;9a

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    * .-' .' 2.,2 *.* 2.'*' *.*+

    +.* .' *.2 *.* 2.'*' .-2

    : *.', .' *.-2 *.* 2.'*' .*

    *+. .' .2 *.* 2.'*' ,.2

    ' . .' :.22 *.* 2.'*' .,:

    , +.*: .' :.,2 *.* 2.'*' +.

    Loo&! &$nfriction angle @ ? :2 degrees >ensity ? *

    2.'

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    * .-' 2.' *.,2 2.- .,

    +.* *.*: *.,2 2.- ,.,'

    : *.', *.2 *.,2 2.- *2.-

    *+. . *.,2 2.- *'.2

    ' . .-: *.,2 2.- *+.*

    , +.*: :.2 *.,2 2.- :.2

    soft 0u ? 2 firm 0

    u ? '2 stiff 0

    u ? *22

    c ? 0u

    (pB2 /9* c

    p c B H

    ;3m:

    4u ? 4o ? * / sin @ ?

    S4 

    ;3m:

    4u ? 4

    o ? * / sin @ ?

    S4 

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    M!#+) !n&! &$n

    friction angle @ ? :' degrees >ensity ? *-

    2.,:',

    D!'"h H/B %#)#"#n H

    ()* H/B (N*  ? *B m13C

    * .-' ' 2.,2 .* *.2: :.-'

    +.* ' *.2 .' *.2: **.+

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