Verification_Manual Pile Cap 1

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    STAAD.foundation

    V8i (SELECTseries 4): Release 5.3

    Verification Manual 

    DAA039050-!000

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    4." #S $ile%a&

    4.". Referen%e

    4."." $ro'leDesign pilecap foundation with the given data: Load Fy = 800 KN, fc = 25 !a, fy = "#5

    !a, $olu%n Di%ension = 250 %% & 250 %%' !edestal ht= 500 %%

    !ile Data( Dia of pile= "00 %%'

     )e*tical capacity = 250 KN,

    +o*iontal capacity = #00 KN

    -plift capacity = 80 KN

    182 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#2 / !ilecap #

     Figure 4-20: Plan and Elevation

    4.".3 Solution

    depth of pilecap= #'5&piledia, D = 600 %%

    a7e D=650 %%

    cc pile diatance = 9&pile dia =#200 %%' 3dge diatance = 950 %%

     1ssu%ing " pile co%ination, $oo*dinates of piles conside*ing pedestal at 0,0,04

    ale "(#2: !ile Locations in !lan

    X Coor- Z Coor-

    Pile No dinate dinate

    (mm (mm)

    # (600 (6002 (600 6009 600 600

    " 600 (600

    pilecap di%ension is #;00 %% 00 %% & 650 %%

     

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    Chapter — 4

    "'#2 / !ilecap #

     58'66 >0'84 KN = 85;'"" KN

    /o !ile *eaction = 85;'"" "= 2#"'86 KN?250 KN

    +ence @K 

     1s the*e is no late*al load , %o%ent o* uplift fo*ce, so each pile is safe in late*al A uplift

    capacity'

    a%tored Desi*n

    Load facto* fo* self wt is ta7en =#

    Load facto* fo* a&ial load is ta7en #'5

    /o, Load on pilecap = #'5 & 800 > 58'66 & # > 0'8 & # = #25;'"" KN

    Load on each pile = #25;'"" " = 9#"'86 KN

    Cal%ulation of +oent a'out , Ais

    Fo* %o%ent w*t B#B#

    $ont*iution f*o% pile # = f*o% pile 2 = 9#"'86 & 0'"5 = #";'56 KN

    /o otal B#B# = 2;;'#2 KN%

    Fo* %o%ent w*t B2B2$ont*iution f*o% pile 9 = f*o% pile " = 9#"'86 & 0'"5 = #";'56 KN%

    /o otal B2B2 = 2;;'#2 KN%

    /o a& value of = 2;;'#2 KN%

    Cal%ulation of +oent a'out Ais

    Fo* %o%ent w*t C#C#

    184 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#2 / !ilecap #

    $ont*iution f*o% pile # = f*o% pile " = 9#"'86 & 0'"5 = #";'56 KN%

    /o otal & C#C# = 2;;'#2 KN%

    Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2 = f*o% pile 9 = 9#"'86 & 0'"5 = #";'56 KN%

    /o otal & C2C2 = 2;;'#2 KN%

    /o a& value of B = 2;;'#2 KN%

    C/e% or Trial De&t/ a*ainst oent

    About Z Axis

    ending %o%ent at c*itical section

    u = 2;;'#2 KN(%

     1ssu%ing 50 %% clea* cove*, 50 %% pile in pilecap A and #2 %% a*, effective depth

    deff  = 592 %%

    K = 00##00>0'8& fy 4 = 0'";#0

    Eu = 0'96 'fc7' Ku%a& '#(0'"2Ku%a&4 = 9'"""2 N%%2

    =#;00 %% , deff = 592 %%

    Eesisting o%ent =Eu' deff2 = #852 KN%

    +ence @K 

    AboutX Axis

    ending %o%ent at c*itical section

    u& = 2;;'#2 KN(%

     1ssu%ing 50 %% clea* cove*, 50 %% pile in pilecap A and #2 %% a*, effective depth

    deff  = 592 %% K=00##00>0'8&

    fy 4= 0'";#0

    Eu = 0'96 'fc7' Ku%a& '#(0'"2Ku%a&4 = 9'"""2 N%%2

    =#;00 %% , D = 592 %%

    Eesisting o%ent =Eu' deff2 = #852 KN%

    +ence @K 

    Area of Steel Re1uired

    Along X Direction

    F*o% / ("56(2000 1nne& , (#, :

     )e*ification anual . 185

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    Chapter — 4

    "'#2 / !ilecap #

    u =0'8'f  y '1 st'd'#(1 st'f  y 'd'f c7 4

    /o solving eGuation fo* 1st,

     1st& = #558 %2

    %

    ini%u% a*ea of steel 1st%in

     = 0'00#2 & & D = #"82 %%2

      as fyH2504

    !*ovided a*ea = #558 %2

    %

    Along Z Direction

    F*o% / ("56(2000 1nne& , (#, :

    u =0'8'f  y '1 st'd'#(1 st'f  y 'd'f c7 4

    /o solving eGuation fo* 1st,

     1stC = #558 %2

    %

    ini%u% a*ea of steel 1st%in = 0'00#2 & & D = #"82 %%2

      as fyH2504

    !*ovided a*ea = #558 %2%

    Cal%ulation of S/ear

    Parallel to X Axis

    Fo* shea* w*t B#B#

    $ont*iution f*o% pile # = pile 2 = 9#'##6 & 0'95 = ##9'9 KN

    /o otal ) B#B# = 226'" KN

    Fo* shea* w*t B2B2

    $ont*iution f*o% pile 9 = pile " = 9#'##6 & 0'95 = ##9'9 KN

    186 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#2 / !ilecap #

    /o otal ) B2B2 = 226'" KN

    /o a&i%u% ) pa*allel to B di*ection = 226'" KN

    Parallel to Z Axis

    Fo* shea* w*t C#C#

    $ont*iution f*o% pile # = pile " = 9#'##6 & 0'95 = ##9'9 KN

    /o otal ) C#C# = 226'" KN

    Fo* shea* w*t C2C2

    $ont*iution f*o% pile 2 = pile 9 = 9#'##6 & 0'95 = ##9'9 KN

    /o otal ) C2C2 = 226'" KN

    /o a& ) pa*allel to C di*ection = 226'" KN

    C/e% for 2ne-a S/ear

    Along X Direction

    !e*centage of steel pt = = 0'#5"

     ) u%a& = 226'" KN

    226'" & #000 #;00 & 592 = 0'22" N%%2

    Developed shea* st*ess ) =

    Now allowale st*ess = 0'2;9 N%%2

     ) ? Ic, +ence /afe

    Along Z Direction

    !e*centage of steel pt = = 0'#5"

     ) u%a& = 226'" KN

    Developed shea* st*ess ) = 226'" & #000 #;00 & 592 = 0'22" N%%2

    Now allowale st*ess = 0'2;9 N%%2

     ) ? Ic, +ence /afe

     )e*ification anual . 187

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    Chapter — 4

    "'#2 / !ilecap #

    $un%/in* S/ear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =266 %% f*o% the colu%n face'

    $ont*iution f*o% pile # = f*o% pile 2 = f*o% pile 9 = f*o% pile " = 9#'#2KN

    /o total punching shea* )%a&= #268'"6" KN

    "&250>5922>59224=9#28 %%

    Iv = = 0'6 N%%2

    J=L =#;00#;00 =#

    7=0'5 >J=#'5 , 7?=#

    +ence, 7=#

    Now allowale st*ess= Ic =7'0'25'fc7 = #'25 N%%2

    Iv ? Ic , +ence safe

    4.".4 Co&arison

    ale "(#9: / ve*ification e&a%ple #2 co%pa*ison

    Value of Reference STAAD.foundation Percent Dif-

    Result Result ference

    ove*ning 2;;'#2 KN% 22;'##2 KN(% Noneo%ent/hea* Fo*ce@ne( 226'" KN 222 KN Negligile

     

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    Section 4 Indian Code (IS 456 -2000)

    "'#9 / !ilecap 2

    4.3 #S $ile%a& "

    4.3. Referen%e

    4.3." $ro'le

    Design pilecap foundation with the given data: Load Fy = ##00 KN, &= 50 KN%, F= 50KN,fc = 25 !a, fy = "#5 !a, $olu%n Di%ension = 250 %% & 250 %%' !edestal ht= 500

    %%

    !ile Data( Dia of pile= "00 %%'

     )e*tical capacity =900 KN,

    +o*iontal capacity = #00 KN

    -plift capacity = 80 KN

     Figure 4-21: Plan, Elevation, and Pedestal dimensions

    4.3.3 Solution

    depth of pilecap= #'5 & pile dia, D=600 %%

    a7e D=800 %%

     )e*ification anual . 189

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    Chapter — 4

    "'#9 / !ilecap 2

    cc pile diatance = 9&pile dia =#200 %%' 3dge diatance =950 %%

     1ssu%ing 5 pile co%ination,

    $oo*dinates of piles conside*ing pedestal at 0,0,04

    ale "(#": !ile $oo*dinates in !lanPile X Coordinate Z Coordinate

    No (mm) (mm)

    # (8"; (8";2 (8"; 8";9 0 0

    " 8"; (8";5 8"; (8";

    pilecap di%ension is 29; %% &29; %% & 800 %%

     0'54 & 50= 65 KN%

    o%ent & f*o% input4 = 50 KN%

    /o otal %o%ent = ##5 KN%

    -sing Eivet theo*y(

    Eeaction f*o% %o%ent= >( ##5&0'8";"&0'8";2

    4 = >(99'86 KN%

    /o

    Eeaction at !ile 2= *eaction at pile 5 = 2"9'#96>99'86 =26';;6 KN

    Eeaction at !ile #= *eaction at pile " = 2"9'#96(99'86 =20;'26 KN

    Eeaction at !ile 9= 2"9'#96 KN

    /o $*itical ve*tical *eaction= 2 KN? 900 KN

    Late*al *eaction = 505 = #0 KN ? 50 KN, +ence @K 

     1s the*e is no net uplift load, so each pile is safe in uplift capacity'

    190 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#9 / !ilecap 2

    a%tored Desi*n

    Load facto* fo* self wt is ta7en =#

    Load facto* fo* a&ial load is ta7en #'5

    /o, 1&ial Load on pilecap = #'5#00>##"'; >0'8= #65'68 KNo%ent on pilecap = #'5#5= #2'5 KN%

    Load on each pile f*o% a&ial *eaction =#65'68 5=959'#96 KN Eeaction

    f*o% %o%ent= >( #2'5&0'8";"&0'8";2

    4 = >(50';5 KN%

    /o

    Eeaction at !ile 2= *eaction at pile 5 = 959'#96 >50';5 ="09';9# KN

    Eeaction at !ile #= *eaction at pile " = 959'#96 (50';5 =902'9"# KN

    Eeaction at !ile 9= 959'#96 KN

    Cal%ulation of +oent

    About Z Axis

    Fo* %o%ent w*t B#B#

    $ont*iution f*o% pile #=902'9"# & 0'2"=2#8'8; KN%

    $ont*iution f*o% pile 2="09';9# & 0'2"=2;2'""6 KN%

    $ont*iution f*o% pile 9=#'" KN%

    /o otal B#B# = 5#2'" KN%

     )e*ification anual . 191

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    Chapter — 4

    "'#9 / !ilecap 2

    Fo* %o%ent w*t B2B2

    $ont*iution f*o% pile "=902'9"# & 0'2"=2#8'8; KN%

    $ont*iution f*o% pile 5="09';9# & 0'2"=2;2'""6 KN%

    $ont*iution f*o% pile 9=#'" KN%

    /o otal B2B2 = 5#2'" KN%

    /o a& value of Mz 512!74 "#$

    About X Axis

    Fo* %o%ent w*t C#C#

    $ont*iution f*o% pile #=902'9"# & 0'2"=2#8'8; KN%

    $ont*iution f*o% pile "=902'9"# & 0'2"=2#8'8; KN%

    $ont*iution f*o% pile 9=#'" KN%

    /o otal & C#C# = "9;'#8 KN%Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2 = "09';9# & 0'2"=2;2'""6 KN%

    $ont*iution f*o% pile 5 = "09';9# & 0'2"=2;2'""6 KN%

    $ont*iution f*o% pile 9=#'" KN%

    /o otal & C2C2 = 586'2;2 KN%

    /o a& value of M% 586!292 "#$

    C/e% or Trial De&t/

    Moment About Z Axis

    ending %o%ent at c*itical section

    u = 5#2'" KN(%

     1ssu%ing 50 %% clea* cove*, 50 %% pile in pilecap A and #2 %% a*, effective depth

    deff  = 6;5 %% K=00##00>0'8&

    fy 4= 0'";#0

    Eu = 0'96 'fc7' Ku%a& '#(0'"2Ku%a&4 = 9'"""2 N%%2

    =29; %% , deff = 592 %%Eesisting o%ent =Eu' deff2 = 9;8' KN%

    +ence @K 

    Moment AboutX Axis

    ending %o%ent at c*itical section

    192 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#9 / !ilecap 2

    u& = 586'2;2 KN(%

     1ssu%ing 50 %% clea* cove*, 50 %% pile in pilecap A and #2 %% a*, effective depth

    deff  = 6;5 %% K=00##00>0'8&

    fy 4= 0'";#0

    Eu = 0'96 'fc7' Ku%a& '#(0'"2Ku%a&4 = 9'"""2 N%%2

    =29; %% , deff = 592 %%

    Eesisting o%ent =Eu' deff2 = 9;8' KN%

    +ence @K 

    Area of Steel Re1uired

    Along X Direction

    F*o% / ("56(2000 1nne& , (#, :

    u =0'8'f  y '1 st'd'#(1 st'f  y 'd'f c7 4/o solving eGuation fo* 1st,

     1st& = 20"6 %2

    %

    ini%u% a*ea of steel 1st%in = 0'00#2 & & D = 2900 %%2

      as fyH2504

    !*ovided a*ea = 2900 %2

    %

    Along Z Direction

    F*o% / ("56(2000 1nne& , (#, :

    u =0'8'f  y '1 st'd'#(1 st'f  y 'd'f c7 4/o solving eGuation fo* 1st,

     1stC = 29"# %2

    %

    ini%u% a*ea of steel 1st%in = 0'00#2 & & D = 2900 %%2

      as fyH2504

    !*ovided a*ea = 29"# %2

    %

     )e*ification anual . 193

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    Chapter — 4

    "'#9 / !ilecap 2

    Cal%ulation of S/ear

    Parallel to X Axis

    Fo* shea* w*t B#B#

    $ont*iution f*o% pile # =902'9"# &0'52=#9 KN

    $ont*iution f*o% pile 2="09';9# &0'52=29#KN

    /o otal ) B#B# = "0" KN

    Fo* shea* w*t B2B2

    $ont*iution f*o% pile " =902'9"# &0'52=#9 KN

    $ont*iution f*o% pile 5="09';9# &0'52=29#KN

    /o otal ) B2B2 = "0" KN

    /o a& ) pa*allel to B di*ection = 404 "#

    Parallel to Z Axis

    Fo* shea* w*t C#C#

    $ont*iution f*o% pile # =902'9"# &0'52=#9 KN

    $ont*iution f*o% pile " =902'9"# &0'52=#9 KN

    /o otal ) C#C# = 9"6 KN

    Fo* shea* w*t C2C2

    194 . /11D'foundation )8i /3L3$se*ies "4

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    Section 4 Indian Code (IS 456 -2000)

    "'#9 / !ilecap 2

    $ont*iution f*o% pile 2="09';9# &0'52=29#KN

    $ont*iution f*o% pile 5="09';9# &0'52=29#KN

    /o otal ) C2C2 = "62 KN

    /o a& ) pa*allel to C di*ection = 462 "#

    C/e% for 2ne-a S/ear

    Along X Direction

    !e*centage of steel pt = = 0'#98

     ) u%a& = "0" KN

    "0" & #000 29; & 6;54 = 0'2" N%%2

    Developed shea* st*ess ) =

    Now allowale st*ess = 0'2; N%%2

     ) ? Ic, +ence /afe

    Along Z Direction

    !e*centage of steel pt = = 0'#"#

     ) u%a& = "62 KN

    "62 & #000 29; & 6;54 = 0'2 N%%2

    Developed shea* st*ess ) =

    Now allowale st*ess = 0'2; N%%2

     ) ? Ic, +ence /afe

    $un%/in* S/ear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =9"'5 %% f*o% the colu%n face'

     )e*ification anual . 195

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    Chapter — 4

    "'#" / at $o%ined Foundation #

    $ont*iution f*o% pile # = f*o% pile " = 902'9" KN

    $ont*iution f*o% pile 2 = f*o% pile 5 = "09';9 KN

    $ont*iution f*o% pile 9 =0 KN

    /o total punching shea* )%a&= #"#2'5"" KN

    "&250>9"'5 >9"'54=980 %%

    Iv = = 0'598 N%%2

    J=L =29;29; =#

    7=0'5 >J=#'5 ,

    729;?=# +ence, 7=#

    Now allowale st*ess= Ic =7'0'25'fc7 = #'25 N%%2

    Iv ? Ic , +ence safe

    4.3.4 Co&arison

    ale "(#5: / ve*ification e&a%ple #9 co%pa*ison

    Value of Reference STAAD.foundation Percent Dif-

    Result Result ference

    ove*ning 586 KN% 50 KN% Negligileo%ent

    5#2'" KN% 5#2'5 KN%/hea* Fo*ce@ne( "62 KN "6# KN Negligile

     

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    5." S $ile%a& oundation

    5.". Referen%e

    5."." $ro'le

    Design pilecap foundation with the given data: Load F y  = 990 7ip, f c = " 7si, f  y  = 60 7si,$olu%n Di%ension = #2 in & #2 in' !edestal ht= 20 in'

    Dia of pile= #8 in

     )e*tical capacity = 65 7ip

    +o*iontal capacity = 20 7ip

    -plift capacity = #5 7ip

    264 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#2 -/ !ilecap Foundation #

     Figure 5-24: Elevation and Plan

    5.".3 Solution

    Depth of pilecap= #'5 & pile dia%ete*, D = 2 in'

    a7e D = 9# in'

    cc pile distance = 9 & pile dia%ete* =5" %%

    3dge distance =#8 inch

     1ssu%ing 6 pile co%ination, coo*dinates of piles conside*ing pedestal at 0,0,04:

     )e*ification anual . 265

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    Chapter — 5

    5'#2 -/ !ilecap Foundation #

    ale 5(#2: !ile $oo*dinates in !lan

    Pile X Coordinate Z Coordinate

    No (in) (in)

    # (5"   (2=

    2 (5" 2

    9   0 (2=

    "   0 2

    5   5"   (2=

    6   5" 2

    !ilecap Length = 25"4>2#84 = #"" inch

    !ilecap #9'24>0 #'264 = ";;'"6

    Load on each pile =";;'"66=89'2"5 7ip

    266 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#2 -/ !ilecap Foundation #

    $un%/in* S/ear

     Figure 5-25: Section considered for punching shear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =#9inch f*o% the colu%n face'

    $ont*iution f*o% pile # = f*o% pile2 = f*o% pile5 = f*o% pile 6 = 89'2"5 7ip

    $ont*iution f*o% pile 9 = f*o% pile" = 0';"" & 89'2"5 = 8'58 7ip

    /o total punching shea* )%= ";0'#" 7ip

    !% = " #2>#9>#94 =#52 inch

    J = L =#2#2 =#

     ) 

    #= 2 > " 4f 4 d = 2>"#4 "0004 #52 26 =#";;'6 #04

    9 l

    c   c c

     ) 2 = "0 d > 24f c4 c d = "0 26#52 > 24 "0004 #52 26 =

    22#0 #049

     l ) = "'f 4 d

    e= " "0004 #52 26= ;;;'8 #04

    9 l

    9 c c

     ) c = %in) #, ) 2, ) 94 = ;;;'8 7ip

    /o, 0'5 ) c = ";'8 7ip

     ) %? 0'5 ) c , +ence safe

    Punching Shear Check for Corner Piles

    $o*ne* piles a*e #,2,5,6

     )e*ification anual . 267

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#2 -/ !ilecap Foundation #

    Cal%ulation of +oent

    Fo* eithe* di*ection:

    m = f y/0.85 f c= 60/(0.85 4)

    = 17.65 ß1 = 0.85 (as f c =4)

    ρbal = 0.85 ß1 f c 87/f y (87 + f y) =

    0.028507 ρmax = 0.75 ρbal =0.02138

    ρmin = 0.0018 ( as f y= 60 Ksi)

    Calculation of Moment about Z Axis

    $alculation of (Fo*

    %o%ent w*t B#B#

    $ont*iution f*o% pile #=f*o% pile2=89'2"5 & "8=9;;5'6 in 7ip

    $ont*iution f*o% pile 9=f*o% pile "=#2 in 7ip

    $ont*iution f*o% pile 5,6=0 in 7ip /o

    otal B#B# = 80#" in 7ip = 60 ft 7ip Fo*

    %o%ent w*t B2B2

    $ont*iution f*o% pile 5=f*o% pile6=89'2"5 & "8=9;;5'6 in 7ip

    $ont*iution f*o% pile 9=f*o% pile "=#2 in 7ip

     )e*ification anual . 269

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    Chapter — 5

    5'#2 -/ !ilecap Foundation #

    $ont*iution f*o% pile 5,6=0 in 7ip

    /o otal B2B2 = 80#" in 7ip = 60 ft 7ip

    /o Eesisting o%ent = n= uM = ""'"" ft 7ip

    E = d2

     = 0'#" Ksi

    n   n,

    2 % E nf  y  = 0'086" ?# , +ence @K 

    = #% #(#(2% E nf  y 4 = 0'0025

    N%in? N? %a&, +ence @K 

    Calculation of Moment about X Axis

    $alculation of &(

    Fo* %o%ent w*t C#C#

    $ont*iution f*o% pile #=f*o% pile 9=f*o% pile 5= 89'2"5 & 2#=#"8'#"5

    in 7ip

    /o otal & C#C# = "9 ft 7ip

    Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2=f*o% pile "=f*o% pile 6= 89'2"5 & 2#=#"8'#"5

    in 7ip

    /o otal & C2C2 = "9 ft 7ip

    /o a& value of B = "9 ft 7ip

    /o Eesisting o%ent = n&= &u&M = "85'55 ft 7ip

    E n = n d

    2

     = 0'06 Ksi

    2 % E nf  y  = 0'095 ?# , +ence @K

    = #% #(#(2% E nf  y 4 = 0'00# /o

    = %in=0'00#8

    ? %a&, +ence @K 

    Area of Steel Re1uired

    Along X Direction

    = 0'0025

      = ;0 in, d=26 in

    he*efo*e, 1st& = 5'85 in2

    Along Z Direction

    = 0'00#8

    270 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#9 -/ !ilecap Foundation 2

      = #"" in , d=26 in

    he*efo*e, 1 st& = 6'" in2

    5.".4 Co&arison

    ale 5(#9: -/ ve*ification e&a%ple #0 co%pa*ison

    Value of Reference STAAD.foundation Percent Dif-

    Result Result ference

    !ile Eeaction 7ip4 89'2"5   89'2""   Noneove*ning o%ent 60 #8 #5Oft 7ip4

    "9= 502'6

    /hea* Fo*ce, @ne( #66'"; #66'";   None 

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    Chapter — 5

    5'#9 -/ !ilecap Foundation 2

     Figure 5-2: Elevation and Plan

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    272 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#9 -/ !ilecap Foundation 2

    5.3.3 Solution

    depth of pilecap= #'5&piledia, D=2 inch

    a7e D=2 inch

    cc pile diatance = 9&pile dia =5" %%' 3dge diatance =#8 inch 1ssu%e a " pile co%ination'

    $oo*dinates of pilesP conside*ing pedestal at 0,0,0

    ale 5(#": !ile $oo*dinates in !lan

    Pile X Coordinate Z Coordinate

    No (in) (in)

    # (2 (22 (2 2

    9 2 2" 2 (2

    !ilecap Length = 5">2 = ;0 inch!ilecap (5'55 Kip

    /o,

    Eeaction at !ile 2= *eaction at pile 9 = "2'62; >5'55 = "8'#85 Kip

    Eeaction at !ile #= *eaction at pile " = "2'62; (5'55 = 9'085Kip

    /o $*itical ve*tical *eaction= "8'#85 Kip ? 65 7ip

     1s the*e is no net upliftlate*al load, so each pile is safe in uplift A late*al capacity'

    a%tored Desi*n

    Load facto* fo* self wt is ta7en =#

    Load facto* fo* a&ial load is ta7en #'"

    /o, 1&ial Load on pilecap = #'"2>20'25 >0'26= 290'5# Kip

    o%ent on pilecap = #'"&50 ft 7ip = 8"0 in 7ip

    Load on each pile f*o% a&ial *eaction =290'5# "=5'62; Kip

    Eeaction f*o% %o%ent= >( 8"0&2"&22

    4 = >('8 Kip

     )e*ification anual . 273

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    Chapter — 5

    5'#9 -/ !ilecap Foundation 2

    /o,

    Eeaction at !ile 2= *eaction at pile 9 = 5'62; >'8 = 65'"0; Kip

    Eeaction at !ile #= *eaction at pile " = 5'62; ('8 = ";'8"; Kip

    $un%/in* S/ear

     Figure 5-2!: Section considered for t"o-"a# shear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =##'5 inch f*o% the colu%n face'

    $ont*iution f*o% pile #=f*o% pile "= ";'8"; Kip

    $ont*iution f*o% pile 2=f*o% pile 9= 65'"0; Kip

    /o total punching shea* )%= 290'5#6 7ip

    !% = "&#2>##>##4 =#96 inch

    J=L =#2#2 =#

    274 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#9 -/ !ilecap Foundation 2

     )# fc'c'd = 2>"#4'"0004 ` & 22 =##95'" l

     )2 fc'c'd = "0&22#96>24'"0004 `&22= #602'; & #000 l

     )9 = "'fc'c'de = "'"0004 & #96 & 22= 56'; & #000 l

     )c = %inQ)#, )2, )9R = 56'; 7ip

    /o, 0'5)c = 56' Kip

     )%? 0'5')c , +ence safe

    $un%/in* S/ear C/e% for Corner $iles

    $o*ne* piles a*e #,2,9,"

    !ile #" a*e ta7ing *eaction ";'8"; Kip A !ile 29 a*e ta7ing *eaction 65'"0; Kip d

    c*itical = "'"6 inch

    3ffective depth = 22 inch

    d c*itical? 3ffective depth, +ence /afe

     )e*ification anual . 275

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    Chapter — 5

    5'#9 -/ !ilecap Foundation 2

    Cal%ulation of S/ear

     Figure 5-2$: Section considered for one-"a# shear

    Parallel to X Axis

    Fo* shea* w*t B#B#

    $ont*iution f*o% pile # =";'8"; & 0'"""=22'#55 Kip

    $ont*iution f*o% pile 2 =65'"0; & 0'"""=2;'0" Kip

    $ont*iution f*o% pile 9," =0 KN

    /o otal ) B#B# = 5#'#;5 Kip

    Fo* shea* w*t B2B2

    $ont*iution f*o% pile " =";'8"; & 0'"""=22'#55 Kip

    $ont*iution f*o% pile 9 =65'"0; & 0'"""=2;'0" Kip

    $ont*iution f*o% pile #,2 =0 KN

    /o otal ) B2B2 = 5#'#;5 Kip

    276 — STAAD.foundation V8i

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    (SELECTseries 4)

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#9 -/ !ilecap Foundation 2

    /o ) pa*allel to B di*ection = 5#'#;5 Kip

    Now allowale shea* = ) c# = = 2&"0004 & ;0 & 22 l = 250'" &#000 l

    0'5')c#=#8'8" Kip

     ) ? ) c#, +ence /afe

    Parallel to Z Axis

    Fo* shea* w*t C#C#

    $ont*iution f*o% pile # =";'8"; & 0'"""=22'#55 Kip

    $ont*iution f*o% pile " =";'8"; & 0'"""=22'#55 Kip

    $ont*iution f*o% pile 2,9 =0 KN

    /o otal ) C#C# = ""'9# Kip

    Fo* shea* w*t C2C2

    $ont*iution f*o% pile 2 =65'"0; & 0'"""=2;'0" Kip

    $ont*iution f*o% pile 9 =65'"0; & 0'"""=2;'0" Kip

    $ont*iution f*o% pile #," =0 KN

    /o otal ) C2C2 = 58'08 Kip

    /o ) pa*allel to C di*ection = 58'08 7ip

    Now allowale shea* = ) c# = = 2&"0004 & ;0 & 22 l = 250'" &#000 l

    0'5')c# = #8'8 Kip

     ) ? ) c#, +ence /afe

     )e*ification anual . 277

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    Chapter — 5

    5'#9 -/ !ilecap Foundation 2

    Cal%ulation of +oent

     Figure 5-2%: Section considered for &ending

    About Z Axis

    $alculation of (Fo*

    %o%ent w*t B#B#

    $ont*iution f*o% pile #=";'8"; &2##2=8'2" ft 7ip

    $ont*iution f*o% pile "=65'"0; &2##2=##"'"6 ft 7ip

    $ont*iution f*o% pile 9,"=0 in 7ip

    /o otal B#B# = 20'# ft 7ip

    Fo* %o%ent w*t B2B2

    $ont*iution f*o% pile "=";'8"; &2##2=8'2" ft 7ip

    278 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#9 -/ !ilecap Foundation 2

    $ont*iution f*o% pile 9=65'"0; &2##2=##"'"6 ft 7ip

    $ont*iution f*o% pile #,2=0 in 7ip

    /o otal B2B2 = 20'# ft 7ip

    /o %a& = 20'# ft 7ip

    /o Eesisting o%ent =n= uS =22"'## ft 7ip%=fy0'85'fc=600'85&"4 = #'6"#

    J# = 0'85 as fc="4

    al = 0'85'J#'fc'8fy'8>fy4 = 0'02850

    %a& = 0'5' al = 0'02#98

    %in = 0'00#8 as fy=604

    En = n'd2

     =0'06# Ksi 2%'Enfy

    = 0'0969 ?# , +ence @K 

    = #%' #(#(2%'Enfy4 = 0'00#

    /o, =%in = 0'00#8

    ? %a& +ence @K 

    About X Axis

    $alculation of &(

    Fo* %o%ent w*t C#C#

    $ont*iution f*o% pile #=f*o% pile "=";'8"; & 2##2=8'2" ft 7ip

    $ont*iution f*o% pile 2=f*o% pile 9=0 ft 7ip

    /o otal & C#C# = #"'" ft 7ip

    Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2=f*o% pile 9=65'"0; & 2##2=##"'"65 ft 7ip

    $ont*iution f*o% pile #=f*o% pile "=0 ft 7ip

    /o otal & C2C2 = 228';9 ft 7ip /o

    a& value of B = 228';9 ft 7ip

    /o Eesisting o%ent =n= uS =25"'9 ft 7ip

    %=fy0'85'fc=600'85&"4 = #'6"#

    J# = 0'85 as fc="4

    al = 0'85'J#'fc'8fy'8>fy4 = 0'02850

    %a& = 0'5' al = 0'02#98

    %in = 0'00#8 as fy=60

    En = n'd2

     =0'0 Ksi

    2%'Enfy = 0'0"#2 ?# , +ence @K 

     )e*ification anual . 279

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    Chapter — 5

    5'#" -/ !ilecap Foundation 9

    = #%' #(#(2%'Enfy4 = 0'00#2

    /o = %in=0'00#8

    ? %a& +ence @K 

    Area of Steel Re1uired

    Along X Direction

    = 0'00#8

     = ;0 inch , d=22 inch

    he*efo*e, 1st& = 9'6 in2

    Along Z Direction

    = 0'00#8

     = ;0 inch , d=22 inch

    he*efo*e, 1stC = 9'6 in2

    5.3.4 Co&arison

    ale 5(#5: -/ ve*ification e&a%ple ## co%pa*ison

    Value of  Reference Result STAAD.foundation Percent Dif-Result ference

    !ile Eeaction ";'8"; Kip ";'85# Kip None

    65'"0; Kip 65'"0 Kipove*ning 20'# ft 7ip 2#;'65" ft 7ip Negligileo%ent 228';9 ft 7ip

    2;"'25" ft 7ip

    /hea* 5#'#;5 Kip 58'08 5#'226 Kip NoneFo*ce@ne(

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#" -/ !ilecap Foundation 9

    Dia of pile= 900 %%

     )e*tical capacity = 250 KN

    +o*iontal capacity = 50 KN

    -plift capacity = #00 KN

     Figure 5-'0: Elevation and Plan

    5.4.3 Solution

    Depth of pilecap= #'5 & pile dia%ete*, D = "50 %%

    a7e D = 655 %%

    cc pile distance = 9 & pile dia%ete* =#200 %%

    3dge distance =950 %%

     1ssu%ing five pile co%ination, coo*dinates of piles conside*ing pedestal at 0,0,04:

    ale 5(#6: !ile $oo*dinates in !lan

    Pile X Coordinate Z Coordinate

    No (mm) (mm)

    # (8"8'528 (8"8'528

    2 (8"8'528   8"8'528

    9   0 0

    "   8"8'528 (8"8'528

    5   8"8'528 8"8'528

     )e*ification anual . 281

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    Chapter — 5

    5'#" -/ !ilecap Foundation 9

    !ilecap Length = 28504>29504 = 2"00 %%

    !ilecap 29504 = 2"00 %%

    pilecap di%ension is 2"00 %% & 2"00 %% & "0 %%

     0'84 =##0'9" KN

    /o !ile *eaction = ##0'9" 5 = 22#'" KN ? 250 KN

    +ence @K 

     1s the*e is no late*al load , %o%ent o* uplift fo*ce, so each pile is safe in late*al A uplift

    capacity'

    a%tored Desi*n

    Load facto* fo* self wt is ta7en = # Load

    facto* fo* a&ial load is ta7en = #'"

    /o, Load on pilecap = #'"#0004 > ##06'564>0 #0'84 = #50'9" KN

    Load on each pile = #50'9"5 = 90#'"68 KN

    deff  = "0 ( 50 ( 50 ( 25 = 6#5 %%

    $un%/in* S/ear

     Figure 5-'1: Section considered for punching shear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =90'5 %% f*o% the colu%n face'

    $ont*iution f*o% pile # = f*o% pile2 = f*o% pile" = f*o% pile 5 = 90#'"68

    KN

    $ont*iution f*o% pile 9 = 0 KN

    /o total punching shea* )%= #205'; KN

    !% = " 250 > 90'5 > 90'54 =9"60 %% J

    = L = 250250 = #

    282 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#" -/ !ilecap Foundation 9

     ) #= 2 > "c4f c4 c d = 52;8'5 KN

     ) 2 = "0 d > 24f c4 c d = 5590'; KN

     ) 9= "'f c4 c de = 9592 KN

     ) c = %in) #, ) 2, ) 94 = 9592 KN

    /o, 0'5 ) c =26"; KN

     ) %? 0'5 ) c , +ence safe

    Punching Shear Check for Corner Piles

    $o*ne* piles a*e #, 2, ", A 5

    3ach pile is ta7ing *eaction 90#'" KN #

    = #"#8'2 %% A 2 =2025 %% d#

    = #5# %%

    d2 = 2## %%

    d c*itical =2#2 %%

    3ffective depth = 6#5 %%

    d c*itical ? 3ffective depth, +ence /afe

    Cal%ulation of S/ear

     Figure 5-'2: Section considered for one-"a# shear

    Parallel to X Axis

    /hea* !lane is at a distance d 6#5 %% f*o% face of colu%n4

    Fo* shea* w*t B#B#

    $ont*iution f*o% pile # = pile 2 = 0'866 & 90#'" = 26#'2 KN

    $ont*iution f*o% pile 9,",5 =0 KN

    /o otal ) B#B# = 522'5"8 KN

     )e*ification anual . 283

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    Chapter — 5

    5'#" -/ !ilecap Foundation 9

    Fo* shea* w*t B2B2

    $ont*iution f*o% pile " = pile 5 = 0'866 & 90#'"=26#'2 KN

    $ont*iution f*o% pile 9,2,# =0 KN

    /o, otal ) B2B2 = 522'5"8 KN

    /hea*, ), pa*allel to B di*ection = 522'5"8 KN

    Now allowale shea* = ) c# =2f c4 c d = #225 KN

    0'5 ) c#= ;#8'8 KN

     ) ? ) c#, +ence /afe

    Parallel to Z Axis

    Fo* shea* w*t C#C#

    $ont*iution f*o% pile # =pile " = 0'866 & 90#'" = 26#'2 KN

    $ont*iution f*o% pile 2 = pile 9 = pile 5 = 0 KN

    /o otal ) C#C# = 522'5"8 KN

    Fo* shea* w*t C2C2

    $ont*iution f*o% pile 2 = pile 5 = 0'866 & 90#'" = 26#'2 KN

    $ont*iution f*o% pile # = pile 9 = pile " =0 KN

    /o otal ) C2C2 = 522'5"8 KN

    /hea*, ), pa*allel to C di*ection = 522'5"8 KN

    Now allowale shea* = ) c# =2f c4 c d = #225 KN

    0'5 ) c#= ;#8'8 KN

     ) ? ) c#, +ence /afe

    Cal%ulation of +oent

    Fo* eithe* di*ection:

    m = f y/0.85 f c= 415/(0.85 25) = 19.529

    ß1 = 0.85 (as f c = 25)

    ρbal = 0.85 ß1 f c 87/f y (87 + f y) =

    0.025729 ρmax = 0.75 ρbal =

    0.019297ρmin = 0.0018 (as f y= 415 !/mm

    2)

    284 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#" -/ !ilecap Foundation 9

     Figure 5-'': Section considered for moment 

    Calculation of Moment about Z Axis

    $alculation of (

    Fo* %o%ent w*t B#B#

    $ont*iution f*o% pile # = pile 2 = 90#'" & 0'25 = 2#8'56 KN%

    $ont*iution f*o% pile 9 = 0'089 & 90#'" & 0'0089 = 0'2# KN%

    $ont*iution f*o% pile "= pile 5 = 0 KN%

    /o otal B#B# = "9'9" KN% = ""0 KN%

    Fo* %o%ent w*t B2B2

    $ont*iution f*o% pile " = pile 5 = 90#'" & 0'25 = 2#8'56 KN%

    $ont*iution f*o% pile 9 = 0'089 & 90#'" & 0'0089 = 0'2# KN%

    $ont*iution f*o% pile " = pile 5 =0 KN%

    /o otal B2B2 = "9'9" KN% = ""0 KN%

    /o Eesisting o%ent = n= uM = "88'8; KN% = ";0 KN%

    E n = n d2

     = 0'59;8 N%%2

    2 % E nf  y  = 0'0508 ?# , +ence @K

    = #% #(#(2% E nf  y 4 =0'00#92 =

    %in=0'00#8

    ? %a&, +ence @K 

    Calculation of Moment about X Axis

    $alculation of &(

    Fo* %o%ent w*t C#C#

    $ont*iution f*o% pile #= pile " = 90#'" & 0'25 = 2#8'56 KN%

    $ont*iution f*o% pile 9=0'089 & 90#'" & 0'0089 = 0'2# KN%

     )e*ification anual . 285

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    Chapter — 5

    5'#" -/ !ilecap Foundation 9

    $ont*iution f*o% pile 2 = pile 5 = 0 KN%

    /o otal & C#C# = "9'9" KN% = ""0 KN%

    Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2= pile 5 = 90#'" & 0'25 = 2#8'56 KN%

    $ont*iution f*o% pile 9 = 0'089 & 90#'" & 0'0089 = 0'2# KN%

    $ont*iution f*o% pile # = pile " = 0 KN%

    /o otal & C2C2 = "9'9" KN% = ""0 KN%

    /o a& value of B = ""0 KN%

    /o Eesisting o%ent = n&= &u&M = "88'8; KN% =";0 KN%

    E n = n d2

     = 0'59;8 N%%2

    2 % E nf  y  = 0'0508 ?# , +ence @K

    = #% #(#(2% E nf  y 4 = 0'00#92 /o

    = %in=0'00#8

    ? %a&, +ence @K 

    Area of Steel Re1uired

    Along X Direction

    = 0'00#8

      = 2"00 %%, d = 6#5 %%

    he*efo*e, 1 st&

     = 265 %%2

    Along Z Direction

    = 0'00#8

      = 2"00 %%, d = 6#5 %%

    he*efo*e, 1 st = 265 %%2

    286 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#5 -/ !ilecap Foundation "

    5.4.4 Co&arison

    ale 5(#: -/ ve*ification e&a%ple ## co%pa*ison

    Value of Reference STAAD.foundation Percent Dif-

    Result Result ference

    !ile Eeaction, /e*vice 22#'5 22#'" NegligileKN4!ile Eeaction, -lti( 90#'5 90#'" Negligile%ate KN4ove*ning o%ent "8; "85 NegligileKN%4

    "8; "85/hea* Fo*ce, @ne(   529 520 Negligile

     

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    Chapter — 5

    5'#5 -/ !ilecap Foundation "

     Figure 5-'4: Elevation and Plan

    5.5.3 Solution

    Depth of pilecap= #'5 & pile dia%ete*, D = "50 %%

    a7e D = 80 %%

    cc pile distance = 9 & pile dia%ete* = ;00 %%

    3dge distance =950 %%

     1ssu%ing si& pile co%ination, coo*dinates of piles conside*ing pedestal at 0,0,04:

    288 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#5 -/ !ilecap Foundation "

    ale 5(#8: !ile $oo*dinates in !lan

    Pile X Coordinate Z Coordinate

    No (mm) (mm)

    # (;00 ("50

    2 (;00 "509   0 ("50"   0 "50

    5 ;00 ("506 ;00 "50

    !ilecap Length =2;004 > 29504 = 2500 %%

    !ilecap 29504 = #600 %%

    pilecap di%ension is 2500 %% & #600 %% & 80 %%

     #00 0';" 0'; 0';4 = 2"0';# KN /o

    !ile *eaction at !ile9 !ile " = 2#9'#9 KN

    /o !ile *eaction at !ile5 !ile 6 = 2#9'#9 ( #00 0';" 0'; 0';4 = #85'95 KN /o

    $*itical !ile *eaction = 2"0';# KN ? 250 KN

    +ence @K 

     1s the*e is no late*al load , %o%ent o* uplift fo*ce, so each pile is safe in late*al A uplift

    capacity' /i%ila*ly, as the*e is no tension pile case so each pile is safe again uplift'

    a%tored Desi*n

    Load facto* fo* self wt is ta7en = # Load

    facto* fo* a&ial load is ta7en = #'"

    /o, Load on pilecap = #'"#2004 > #84 > #0'84 = #58'8 KN

    /o !ile *eaction f*o% a&ial load = #58'86 = 2;9'#9 KN

    o%ent 4 = #'"#004 = #"0 KN%

    /o !ile *eaction at !ile # !ile 2 = 2;9'#9 > #"0 0';" 0'; 0';4 = 992'02 KN /o

    !ile *eaction at !ile 9 !ile " = 2;9'#9 KN

    /o !ile *eaction at !ile 5 !ile 6 = 2;9'#9 (#"0 0';" 0'; 0';4 = 25"'2" KN

    deff  = 80 ( 50 ( 50 ( 25 = 655 %%

    $un%/in* S/ear

    !unching shea* is chec7ed on a pe*i%ete* 0'5d =92'5 %% f*o% the colu%n face'

     )e*ification anual . 289

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    Chapter — 5

    5'#5 -/ !ilecap Foundation "

     Figure 5-'5: Section considered for punching shear

    $ont*iution f*o% pile # = pile 2 = #992'024 =992'02 KN

    $ont*iution f*o% pile 9 = pile "= 0'";22;9'#94 = #""'22 KN

    $ont*iution f*o% pile 5 = pile 6 = #25"'2"4 = 25"'2" KN

    /o total punching shea* ) %= 2999'02 > #""'22 > 25"'2"4 = #"62';6 KN

    !% = " 250 > 92'5 > 92'54 = 9620 %%

    J = L = 250250 = #

     ) #= 2 > "c4f c4 c d = 5;0" KN ) 2 =

    "0 d > 24f c4 c d = ;0;0 KN

     ) 9= "'f c4 c de = 9;96 KN ) c 

    = %in) #, ) 2, ) 94 = 9;96 KN /o,

    0'5 ) c = 2;52 KN

     ) %? 0'5 ) c , +ence safe

    Punching Shear Check for Corner Piles

    $o*ne* piles a*e #, 2, 5, A 6$*itical !ile # A 2 with a&ial Eeaction 999'02 KN

    # = #"50 %% A 2 =2#05 %%

    d# = #69 %%

    d2 = 225 %%

    d c*itical =225 %%

    290 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#5 -/ !ilecap Foundation "

    3ffective depth = 655 %%

    d c*itical ? 3ffective depth, +ence /afe

    Cal%ulation of S/ear

     Figure 5-': Section considered for one-"a# shear

    Parallel to X Axis

    /hea* !lane is at a distance d 655 %% f*o% face of colu%n4

    Fo* shea* w*t B#B#

    $ont*iution f*o% pile # = pile 2 =0';& 999'09 = 2;;'2 KN

    $ont*iution f*o% piles 9, ", 5, A 6 =0 KN

    /o otal ) B#B# = = 22;;'24 KN= 5;;'" KN

    Fo* shea* w*t B2B2

    $ont*iution f*o% pile 5 = pile 6 = 0';25"'2"4 = 228'82 KN

    $ont*iution f*o% piles #, 2, 9, A " = 0 KN

    /o, otal ) B2B2 = 2228'824 = "5'69 KN

    /hea*, ), pa*allel to B di*ection = 5;;'" KN

     )e*ification anual . 291

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    Chapter — 5

    5'#5 -/ !ilecap Foundation "

    Now allowale shea* = ) c# =2f c4 c d = 86;'8 KN

    0'5 ) c#= 652 KN

     ) ? ) c#, +ence /afe

    Parallel to Z Axis

    Fo* shea* w*t C#C#

    $ont*iution f*o% all piles = 0 KN

    /o otal ) C#C# = 0 KN

    Fo* shea* w*t C2C2

    $ont*iution f*o% all piles =0 KN

    /o otal ) C2C2 = 0 KN

    /hea*, ), pa*allel to C di*ection = 0 KN No

    shea* pa*allel to the C a&is, +ence /afe

    Cal%ulation of +oent

    Fo* eithe* di*ection:

    m = f y/0.85 f c= 415/(0.85 25) = 19.529

    ß1 = 0.85 (as f c = 25)

    ρbal = 0.85 ß1 f c 87/f y (87 + f y) =

    0.025729 ρmax = 0.75 ρbal =0.019297

    ρmin = 0.0018 (as f y= 415 !/mm2)

    292 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    5'#5 -/ !ilecap Foundation "

     Figure 5-'!: Section considered for moment 

    Calculation of Moment about Z Axis

    $alculation of

    Fo* %o%ent w*t B#B#

    $ont*iution f*o% pile # = pile 2 = 999'020'54 = 258'# KN%

    $ont*iution f*o% pile 9 = pile " = 0'0892;9'#9 0'00894 = 0'2 KN%

    $ont*iution f*o% pile 5 = pile 6 = 0 KN%

    /o otal B#B# = 5#6'6 KN% = 520 KN%

    Fo* %o%ent w*t B2B2

    $ont*iution f*o% pile 5 = pile 6 = 25"'2"0'54 = #; KN%

    $ont*iution f*o% pile 9 = pile " = 0'0892;9'#9 0'00894 = 0'2 KN%

    $ont*iution f*o% pile # = pile 2 =0 KN%

    /o otal B2B2 = 9;"'" KN% = 9;5 KN%

    /o $*itical value of  =520 KN%

    /o Eesisting o%ent = n= uM = 5'8 KN% = 580 KN%

    E n = n d2

     = 0'8"5 N%%2

    2 % E nf  y  = 0'0;5 ?# , +ence @K

    = #% #(#(2% E nf  y 4 = 0'002 =

    %in=0'00#8

    %in ? ? %a&, +ence @K 

     )e*ification anual . 293

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    Chapter — 5

    5'#5 -/ !ilecap Foundation "

    Calculation of Moment about X Axis

    $alculation of &

    Fo* %o%ent w*t C#C#

    $ont*iution f*o% pile # = 992'020'9254 = #0'; KN%

    $ont*iution f*o% pile 9 = 2;9'#90'9254 = ;5'2 KN%

    $ont*iution f*o% pile 5 = 25"'2"0'9254 = 82'69 KN%

    $ont*iution f*o% piles 2, ", A 6 = 0 KN%

    /o otal & C#C# =285'8 KN% = 286 KN%

    Fo* %o%ent w*t C2C2

    $ont*iution f*o% pile 2 = 992'020'9254 = #0'; KN%

    $ont*iution f*o% pile " = 2;9'#90'9254 = ;5'2 KN%

    $ont*iution f*o% pile 6 = 25"'2"0'9254 = 82'69 KN%

    $ont*iution f*o% piles #, 9, A 5 = 0 KN%

    /o otal & C2C2 = 285'8 KN% = 286 KN%

    /o a& value of & = 286 KN%

    /o Eesisting o%ent = n&= &u&M = 9#'8 KN% =9#8 KN%

    E n = n d2

     = 0'2;6" N%%2

    2 % E nf  y  = 0'02; ?# , +ence @K

    = #% #(#(2% E nf  y 4 = 0'0002 /o

    = %in=0'00#8 ? %a&, +ence @K 

    Area of Steel Re1uired

    Along X Direction

    = 0'0020

      = #600 %%, d = 655 %%

    he*efo*e, 1 st& = 20;6 %%2

    Along Z Direction

    = 0'00#8

      = 2500 %%, d = 655 %%

    he*efo*e, 1 st = 2;"8 %%2

    294 . /11D'foundation )8i /3L3$se*ies "4

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    Section 5 &nited State' Code (CI 318 -2005)

    Se%tion 6

    Drilled $ier oundations

    6. Drilled $ier oundation A$#

    6.. Referen%e

     1! E! 21(

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    Section 7 ri**ed +ier ,ondation'

    '# D*illed !ie* Foundation # 1!

    Density= #50lft9

    Eea* !*ope*ties

    fy= 607si

    3s= 2;0007si

    6..3 Solution

    Critical Depth

    $*itical depth is set to e calculated y p*og*a%

    Effectie !erbur"en Pressure

    !o= /oil Density of *espective laye* & Depth to the cente* of the laye*4

    3ffects of wate* and c*itical depth a*e also conside*ed calculating !o

    Laer  !ffecti"e #"er$urden Pres-

    sure (l$%ft&)

    Laye*# "92Laye*2 #5;Laye*9 28;

    Sin ri%tion

    Ψ Facto* f*o% 1! E! 21(

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    Chapter — 7

    '# D*illed !ie* Foundation # 1!

    K $oefficient of late*al ea*th p*essu*e f*o% 1! E! 21(

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    Section 7 ri**ed +ier ,ondation'

    '2 D*illed !ie* Foundation 2 1!

    Laer  ,+ (i+)

    Laye*# #6'286

    Laye*2 ;;'2##

    Laye*9 56'5";

    3nd ea*ing fo* otto% Laye*, VpWott

     = 56'5"; 7ips

    nfa%tored Ca&a%it

    a%tored Ca&a%it

    6..4 Co&arison

    ale (#: D*illed !ie* 1!4 ve*ification e&a%ple # co%pa*ison

    Value of STAAD.foundation Reference DifferenceResult Result

    -nfacto*edip 56'5# 7ip 56'5"; 7ip NegligileEesistance-nfacto*ed /7in #02'"8 7ip #02'"29 7ip NegligileEesistance-nfacto*ed otal 1&ial #""';#6 7ip #""'89" 7ip Negligile$apacity 

    Facto*edip Eesistance #8'85 7ip #8'8"; 7ip NegligileFacto*ed /7in Eesistance 9"'#62 7ip 9"'#"# 7ip NegligileFacto*ed otal 1&ial "8'905 7ip "8'28 7ip Negligile$apacity 

    6." Drilled $ier oundation " A$#

    6.". Referen%e

     1! E! 21(

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    Chapter — 7

    '2 D*illed !ie* Foundation 2 1!

    /oil !*ofile y Laye*

    #' $lay ( , 6ft deep, cohesion #7ipft2

    , 1vg Density #05lft9

    , Density( )e*y Loose

    2' $lay ( , #9ft deep, cohesion #'#7ipft2

    , 1vg Density ##0lft9

    , Density( ediu%

    9' $lay ( , 8ft deep, cohesion 27ipft2

    , 1vg Density ###lft9

    , Density( Dense

    "' $lay ( , #2ft deep, cohesion 97ipft2, 1vg Density ##9lft9, Density( )e*y Dense3lasticity of /oil 0'97si

    K = 0.8

    Facto* of safety 

    3nd ea*ing ( 9

    /7in F*iction ( 9

    O of $apacity -sed

    3nd ea*ing ( #00O

    /7in F*iction ( #00ONeglected one fo* s7in f*iction

    op ( 5ft

    otto% ( !ie* Dia = "ft

    $onc*ete !*ope*ties

    fc= "7si 3c=

    96057si

    Density= #50lft9

    Eea* !*ope*ties

    fy= 607si

    3s= 2;0007si

    362 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '2 D*illed !ie* Foundation 2 1!

     Figure !-2: Pier Elevation

    6.".3 Solution

    Critical Depth

    $*itical depth is set to e calculated y p*og*a%

    Effectie !erbur"en Pressure

    !o= /oil Density of *espective laye* & Depth to the cente* of the laye*4

    3ffects of wate* and c*itical depth a*e also conside*ed calculating !o

     )e*ification anual . 363

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    Chapter — 7

    '2 D*illed !ie* Foundation 2 1!

    Laer  !ffecti"e #"er$urden Pres-

    sure (l$%ft&)

    Laye*#   9#5

    Laye*2 #9"5

    Laye*9 #8"Laye*" #566

    Sin ri%tion

    Ψ Facto* f*o% 1! E! 21(

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    364 — STAAD.foundation V8i

    (SELECTseries 4)

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    Chapter — 7

    '9 D*illed !ie* Foundation 9 F+

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    Section 7 ri**ed +ier ,ondation'

    '9 D*illed !ie* Foundation 9 F+

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    Chapter — 7

    '9 D*illed !ie* Foundation 9 F+

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    (SELECTseries 4)

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    Section 7 ri**ed +ier ,ondation'

    '9 D*illed !ie* Foundation 9 F+

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    Chapter — 7

    '9 D*illed !ie* Foundation 9 F+

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    370 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '" D*illed !ie* Foundation " F+

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    Chapter — 7

    '" D*illed !ie* Foundation " F+

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    Section 7 ri**ed +ier ,ondation'

    '" D*illed !ie* Foundation " F+

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    Chapter — 7

    '" D*illed !ie* Foundation " F+

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    Section 7 ri**ed +ier ,ondation'

    '5 D*illed !ie* Foundation 5 )3/$

    a%tored Ca&a%it

    6.4.4 Co&arison

    ale (": D*illed !ie* F+

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    Chapter — 7

    '5 D*illed !ie* Foundation 5 )3/$

    3lasticity of /oil 0'97si

    Facto* of safety 

    3nd ea*ing ( 9

    /7in F*iction ( 9

    O of $apacity -sed

    3nd ea*ing ( #00O /7in

    F*iction ( #00O Neglected one

    fo* s7in f*iction

    op ( 5ft

    otto% ( !ie* Dia = 2ft

    $onc*ete !*ope*ties

    fc= "7si 3c=

    96057si

    Density= #50lft9

    Eea* !*ope*ties

    fy= 607si

    3s= 2;0007si

    376 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '5 D*illed !ie* Foundation 5 )3/$

     Figure !-5: Pier Elevation

    6.5.3 Solution

    Critical Depth

    $*itical depth is set to e calculated y p*og*a%

    Effectie !erbur"en Pressure

    !o= /oil Density of *espective laye* & Depth to the cente* of the laye*4

    3ffects of wate* and c*itical depth a*e also conside*ed calculating !o

     )e*ification anual . 377

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    Chapter — 7

    '5 D*illed !ie* Foundation 5 )3/$

    !ffecti"e #"er$urden Pres-

    Laer  sure (+sf)

    # "92

    2 #5;

    9 #;25

    Sin ri%tion

    α  1dhesion Facto* fo* D*illed !ie* in $ohesive /oil

    α = 0.55

    Laer 

    #   0

    2   0

    9 0'55

    K $oefficient of late*al ea*th p*essu*e

    K=0'8 fo* st*aight pie*4

    Late*al 3a*th !*essu*e and F*iction 1ngle Facto*

    Laer  0

    # 0'"62

    2 0'5"0

    9   0

    U F*iction angle etween soil and pie*

     1ssu%ed to e sa%e as soil f*iction angle

    /haft f*iction f4, f*o% 1lpha o* eta ethod

    Fo* cohesive soil laye*f = T & c

    Fo* cohesionless soil laye*f = K &!o & tanU

    Laer  Saft *riction (+sf)

    # #;;'592

    2 852'09;

    9 ##00

    tanU#4 = 0'65

    /7in F*iction Eesistance Vf4, f*o% F+

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    378 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '5 D*illed !ie* Foundation 5 )3/$

    Vf %odified4 is calculated y conside*ing top and otto% neglect laye*

    Laer R

    s.modified

    (i+)

    # 9'6#2 6;'5;6

    9   "8'98#Y otal odified /7in #2#'9F*iction4

    7ase Resistan%e

    $ohesive /oil otto% Laye*4

    ac,- - = 1

    ac,- !c = 9

    $ohesionless /oil otto% Laye*4

    ac,- !* = 0-nit end ea*ing G4, f*o% F+

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     )e*ification anual . 379

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    Chapter — 7

    '6 D*illed !ie* Foundation 6 )esic

    a%tored Ca&a%it

    6.5.4 Co&arison

    ale (5: D*illed !ie* )esic4 ve*ification e&a%ple 5 co%pa*ison

    Value of STAAD.foundation Reference DifferenceResult Result

    -nfacto*edip 56'5# 7ip #6'5"; 7ip NegligileEesistance-nfacto*ed /7in #2#'82" 7ip #2#'9 7ip NegligileEesistance-nfacto*ed otal 1&ial #6"'259 7ip #6"'#"; 7ip Negligile

    $apacity Facto*edip Eesistance #8'85 7ip 5'5#6 7ip NegligileFacto*ed /7in "0'6087ip "0'5; 7ip NegligileEesistanceFacto*ed otal 1&ial 5"'5# 7ip 5"'#6 7ip Negligile$apacity 

    6. Drilled $ier oundation esi%

    6.. Referen%e

     1lte*nate )esic ethod

    6.." $ro'le

    Design a&ial capacity fo* d*illed pie* with the given data: Design ethod: 1lte*nate )esic

    ethod

    Load Fy= #007ip, fc= "7si, fy= 607si, /t*aight pie*, pie* dia%ete*= "ft, pie* height= 9;ft,

     wate* level at 50ft'

    /oil !*ofile

    #' $lay ( , 6ft deep, cohesion #7ipft2

    , 1vg Density #05lft9

    , Density( )e*y Loose

    2' $lay ( , #9ft deep, cohesion #'#7ipft2

    , 1vg Density ##0lft9

    , Density( ediu%

    9' $lay ( , 8ft deep, cohesion 27ipft2, 1vg Density ###lft9, Density( Dense

    "' $lay ( , #2ft deep, cohesion 97ipft2

    , 1vg Density ##9lft9

    , Density( )e*y Dense3lasticity of /oil 0'97si

    Facto* of safety

    3nd ea*ing ( 9

    /7in F*iction ( 9

    380 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '6 D*illed !ie* Foundation 6 )esic

    O of $apacity -sed

    3nd ea*ing ( #00O

    /7in F*iction ( #00O

    Neglected one fo* s7in f*iction

    op ( 5ft

    otto% ( !ie* Dia = "ft

    $onc*ete !*ope*ties

    fc= "7si 3c=

    96057si

    Density= #50lft9

    Eea* !*ope*ties

    fy= 607si

    3s= 2;0007si

     )e*ification anual . 381

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    Chapter — 7

    '6 D*illed !ie* Foundation 6 )esic

     Figure !-: Pier Elevation

    6..3 Solution

    Critical Depth

    $*itical depth is set to e calculated y p*og*a%

    Effectie !erbur"en Pressure

    !o= /oil Density of *espective laye* & Depth to the cente* of the laye*4

    3ffects of wate* and c*itical depth a*e also conside*ed calculating !o

    382 . /11D'foundation )8i /3L3$se*ies "4

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    Section 7 ri**ed +ier ,ondation'

    '6 D*illed !ie* Foundation 6 )esic

    !ffecti"e #"er$urden Pres-

    Laer  sure (+sf)

    # 9#5

    2 #9"5

    9 #8"

    Sin ri%tion

    α  1dhesion Facto* fo* D*illed !ie* in $ohesive /oil

    α = 0.55 (ll lay-s)

    K $oefficient of late*al ea*th p*essu*e

    K=0'8 fo* st*aight pie*4

    Late*al 3a*th !*essu*e and F*iction 1ngle Facto*, = 0 1ll laye*s4 U

    F*iction angle etween soil and pie*

     1ssu%ed to e sa%e as soil f*iction angle

    /haft f*iction f4, f*o% 1lpha o* eta ethod

    Fo* cohesive soil laye*f = T & c

    Fo* cohesionless soil laye*f = K &!o & tanU

    Laer Saft *riction (+sf)

    # 550

    2 605

    9 ##00" #650

    an(1) = 0

    /7in F*iction Eesistance Vf4, f*o% F+

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     )e*ification anual . 383

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    Chapter — 7

    '6 D*illed !ie* Foundation 6 )esic

    3nd ea*ing fo* otto% Laye*, E Wott = 99;'2;2 7ip

    n-fa%tored Ca&a%it

    a%tored Ca&a%it

    6..4 Co&arison

    ale (6: D*illed !ie* )esic4 ve*ification e&a%ple 6co%pa*ison

    Value of STAAD.foundation Reference DifferenceResult Result

    -nfacto*edip 99;'"2; 7ip 99;'2;2 7ip NegligileEesistance-nfacto*ed /7in 982'960 7ip 982'206 7ip NegligileEesistance-nfacto*ed otal 1&ial 6"8'2"6 7ip #6"'#"; 7ip Negligile$apacity 

    Facto*edip Eesistance ##9'#"9 7ip ##9'0; 7ip NegligileFacto*ed /7in #2'"59 7ip #2'"02 7ip NegligileEesistanceFacto*ed otal 1&ial 2#6'082 7ip 5"'#6 7ip Negligile$apacity