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    DESIGN OF COLUMN BASEPLATES AND STEELANCHORAGE TO CONCRETE

    Khaled Eid

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    Outline

    Introdution Ba!e "late!

      Material 

    De!i#n u!in# AISC Steel De!i#n Guide Conentri a$ial load A$ial load "lu! %o%ent A$ial load "lu! !hear

    Anhor Rod!   T&"e! and Material!  De!i#n u!in# ACI A""endi$ D

     Ten!ion Shear

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    Introdution

    Ba!e "late! and anhor rod! are o'ten thela!t !trutural !teel ite%! to (e de!i#ned(ut the )r!t ite%! re*uired on the +o(!ite

     There'ore the de!i#n o' olu%n (a!e "lateand onnetion! are "art o' the ritial "ath

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    Introdution

    Anhor! to a""ear in onrete dra,in#!,ith loation o' eah anhor in $ and &diretion

    Pede!tal !hould (e de!i#ned to !uit the!u""ortin# olu%n and anhor!

    U!uall& allo, 'or enou#h ed#e di!taneo' -d (olt

    U!uall& u!e to nut! to a.oid !li"

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    Introdution

    /a!t %a+orit& o' olu%n (a!e "late onnetion!are de!i#ned 'or a$ial o%"re!!ion ,ith little orno u"li't

    Colu%n (a!e "late onnetion! an al!o tran!%it

    u"li't 'ore! and !hear 'ore! throu#h0  Anhor rod!  Bearin# end "late  Shear lu#! under the (a!e "late or e%(eddin# the

    olu%n (a!e to tran!'er the !hear 'ore1 Colu%n (a!e "late onnetion! an al!o (e u!ed

    to re!i!t ,ind and !ei!%i load!  De.elo"%ent o' 'ore ou"le (et,een (earin# on

    onrete and ten!ion in !o%e or all o' the anhor rod!

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    Introdution

    Anhor rod! are needed 'or all (a!e "late!to "re.ent olu%n 'ro% o.erturnin# durin#on!trution and in !o%e a!e! to re!i!t

    u"li't or lar#e %o%ent! Anhor rod! are de!i#ned 'or "ullout and

    (rea2out !tren#th u!in# ACI 345 A""endi$D

    Critial to "ro.ide ,ell6de)ned7 ade*uateload "ath ,hen ten!ion and !hear loadin#,ill (e tran!'erred throu#h anhor rod!

    In !ei!%i 8one! the "ede!tal !hould arr&91: the 'atored de!i#n load

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    Introdution

    Grout i! needed to ad+u!t the le.el Grout to tran!'er the load 'ro% !teel "late

    to 'oundation

    Grout !hould ha.e de!i#n o%"re!!i.e!tren#th at lea!t t,ie the !tren#th o''oundation onrete

    ;hen (a!e "late! (eo%e lar#er than-

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    Ba!e "late Material!

    Ba!e "late! !hould (e ASTM A3- %aterialunle!! other #rade i! a.aila(le

    Mo!t (a!e "late! are de!i#ned a! to %ath

    the "ede!tal !ha"e A thi2er (a!e "late i! %ore eono%ial

    than a thinner (a!e "late ,ith additional!ti>ener! or other rein'ore%ent!

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    Ba!e Plate De!i#n

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    De!i#n o' A$iall& Loaded Ba!ePlate!

    Re*uired "late area i! (a!ed on uni'or%allo,a(le (earin# !tre!!1 For a$iall& loaded(a!e "late!7 the (earin# !tre!! under the (a!e"late i! uni'or%

      A9 ? di%en!ion! o' onrete !u""ortin# 'oundation

    A4 ? di%en!ion! o' (a!e "late Mo!t eono%ial "late our! ,hen ratio o'

    onrete to "late area i! e*ual to or #reaterthan @ Ca!e 4

    ;hen the "late di%en!ion! are 2no,n it i! not

    `

    1

    2`max   7.185.0 ccc p   f  

     A A f   f     ≤×=φ 

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    Ca!e 40 A9  @A4

    41 Deter%ine 'atored load Pu91 Calulate re*uired "late area A4 (a!ed on %a$i%u%

    onrete (earin# !tre!! ' "?41' ,hen A9?@A4

    31 Plate di%en!ion! B N!hould (e deter%ined!o % n area""ro$i%atel& e*ual

    `)(1 7.16.0 c

    u

    req  f  

     P 

     A ×=

    ∆+=   )(1   req A N 2

    8.095.0  f  bd  −=∆

     N 

     A B

      req)(1=

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    Ca!e 40 A9  @A4

    @1 Calulate re*uired (a!e "late thi2ne!!

    ,here l i! %a$i%u% o' % and n

    :1 Deter%ine "ede!tal area7 A9

    2

    95.0   d  N m

      −=

    2

    8.0  f  b Bn

    −=

     BN  F 

     P l t 

     y

    u

    90.0

    2min  =

     BN  A   42 =

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    Ca!e 90 Pede!taldi%en!ion! 2no,n

    41Deter%ine 'atored load Pu91 The area o' the "late !hould (e e*ual tolar#er o'0

    31   Sa%e a! Ca!e 4

    @1   Sa%e a! Ca!e 4

    2

    `

    2

    185.060.0

    1

    ×=

    c

    u

     f   P 

     A A

    `1 7.16.0 c

    u

     f   P  A×=

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    De!i#n o' Ba!e Plate! ,ithMo%ent!

    E*ui.alent eentriit&7 e7 i! alulated e*ual to%o%ent M di.ided (& a$ial 'ore P

    Mo%ent and a$ial 'ore re"laed (& e*ui.alenta$ial 'ore at a di!tane e 'ro% enter o' olu%n

    S%all eentriitie!

     e*ui.alent a$ial 'orere!i!ted (& (earin# onl& Lar#e eentriitie! nee!!ar& to u!e an anhor

    (olt to re!i!t e*ui.alent a$ial 'ore

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    De!i#n o' Ba!e Plate ,ith S%allEentriitie!

    I' eN- o%"re!!i.e (earin# !tre!! e$i!te.er&,here

    I' e i! (et,een N- and N9 (earin# our! onl&o.er a "ortion o' the "late

     AB P  f     21 =

     I 

     Mc

     BN 

     P  f     ±=2,1

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    De!i#n o' Ba!e Plate ,ith S%allEentriitie!

    41 Calulate 'atored load Pu and %o%ent Mu

    91 Deter%ine %a$i%u% (earin# "re!!ure7 '"

    31 Pi2 a trial (a!e "late !i8e7 B and N

    @1 Deter%ine e*ui.alent eentriit&7 e7 and%a$i%u% (earin# !tre!! 'ro% load7 ' 41 I' ' 4 

    '" #o to ne$t !te"7 i' not "i2 di>erent (a!e"late !i8e

    :1 Deter%ine "late thi2ne!!7 t"

    41 M"lu i! %o%ent 'or 4 in ,ide y

     pl u

     p F 

     M t 

    90.0

    4=

    `

    1

    2` 7.185.0 ccc p   f   A

     A f   f     ≤×=φ 

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    De!i#n o' Ba!e Plate ,ithShear Four "rini"al ,a&! o' tran!'errin# !hear 'ro%

    olu%n (a!e "late into onrete

    41 Frition (et,een (a!e "late and the #rout oronrete !ur'ae

     The 'rition oeient µ i!

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    De!i#n o' Shear Lu#!

    41 Deter%ine the "ortion o' !hear ,hih ,ill (ere!i!ted (& !hear lu#7 /l#u

    91 Deter%ine re*uired (earin# area o' !hear lu#

    31 Deter%ine !hear lu# ,idth7 ;7 and hei#ht7 H

    @1 Deter%ine 'atored antile.ered end %o%ent7 M l#u

    :1 Deter%ine !hear lu# thi2ne!!

    `

    lg

    lg 85.0 c

    u

     f  

     A φ =

       

         +    

      =

    2lg

    lg G H W 

    V  M    uu

     y

    u

     F 

     M t 

    90.0

    4 lglg =

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    Anhor Rod!

     T,o ate#orie!  Ca!t6in "lae0 !et (e'ore the onrete i!

    "laed 

    Drilled6in anhor!0 !et a'ter the onrete i!hardened

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    Ca!t6in Plae Anhor Rod!

    ;hen rod! ,ith thread! and nut are u!ed7 a%ore "o!iti.e anhora#e i! 'or%ed  Failure %ehani!% i! the "ull out o' a one o'

    onrete radiatin# out,ard 'ro% the head o'the (olt or nut

      U!e o' "late ,a!her doe! not add an&inrea!ed re!i!tane to "ull out

    Hoo2ed (ar! ha.e a .er& li%ited"ullout !tren#th o%"ared ,ith that o' 

    headed rod! or threaded rod! ,ith

    a nut o' anhora#e

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    Anhor Rod Plae%ent

    Mo!t o%%on )eld "ro(le% i! "lae%ent o'anhor rod!

    I%"ortant to "ro.ide a! lar#e a! hole a!

    "o!!i(le to ao%%odate !ettin# tolerane! Fe,er "ro(le%! i' the !trutural !teel detailer

    i!!ued anhor (olt la&out 'or "lain# theanhor! 'or% hi! 3d %odel

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    Anhor Rod La&out

    Should u!e a !&%%etrial "attern in(oth diretion! ,here.er "o!!i(le

    Should "ro.ide a%"le learane di!tane

    'or the ,a!her 'ro% the olu%n Ed#e di!tane "la&! i%"ortant role 'or

    onrete (rea2out !tren#th

    Should (e oordinated ,ith rein'orin#!teel to en!ure there are nointer'erene!7 %ore ritial in onrete"ier! and ,all!

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    De!i#n o' Anhor Rod! 'or Ten!ion ;hen (a!e "late! are !u(+et to u"li't 'ore Tu7

    e%(ed%ent o' anhor rod! %u!t (e he2ed 'orten!ion

    Steel !tren#th o' anhor in ten!ion

    A!e ?e>eti.e ro!! !etional area o' anhor7 AISC Steel Manual Ta(le 645

    'ut? ten!ile !tren#th o' anhor7 not #reater than 41'& or 49: 2!i

    Conrete (rea2out !tren#th o' !in#le anhor inten!ion

    he' ?e%(ed%ent

    2?9@ 'or a!t6in "lae anhor!7 4 'or "o!t6in!talled anhor!

    ψ 97 ψ 3 ? %odi)ation 'ator!

    ut  se s   f   A N   =

    5.1`

    ef  cb   h f  k  N   =b No N 

    cb  N 

     A

     A N 

    32ψ ψ 

    =

    i ' h d '

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    De!i#n o' Anhor Rod! 'or Ten!ion ANo?Pro+eted area o' the

    'ailure !ur'ae o' a !in#leanhor re%ote 'ro% ed#e!

    AN?A""ro$i%ated a! the (a!e

    o' the retilinear #eo%etrial)#ure that re!ult! 'ro%

    "ro+etin# the 'ailure !ur'aeout,ard 41:he'  'ro% the

    enterline! o' the anhor

    E$a%"le o' alulation o' AN ,ith ed#e

    di!tane 4 le!! than 41:he' 

    29 ef   No   h A   =

    )5.12)(5.1( 1   ef  ef   N    hhc A   ×+=

    i ' h d '

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    De!i#n o' Anhor Rod! 'or Ten!ion Pullout !tren#th o' anhor

    No%inal !tren#th in ten!ion Nn ? %inN!7

    N(7 N"n

    Co%"are u"li't 'ro% olu%n7 Tu7 to Nn I' T

    u

     le!! than φNn

     o2

    I' Tu #reater than φNn %u!t "ro.ideten!ion rein'orin# around anhor rod!or inrea!e e%(ed%ent o' anhor rod!

    `

    4   8 cbrg  pn   f   A N    ψ =

    D i ' A h R d '

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    De!i#n o' Anhor Rod! 'orShear ;hen (a!e "late! are !u(+et to !hear 'ore7 /u7 and

    'rition (et,een (a!e "late and onrete i!inade*uate to re!i!t !hear7 anhor rod! %a& ta2e!hear

    Steel Stren#th o' !in#le anhor in !hear

    Conrete (rea2out !tren#th o' !in#le anhor in !hear

    ψ -7 ψ  ? %odi)ation 'ator!

    do ? rod dia%eter7 in

    l ? load (earin# len#th o' anhor 'or !hear not to e$eed 5do7 in

    b

    vo

    vcb   V 

     A

     AV  76ψ ψ =

      5.1

    1

    `

    2.0

    7   c f  d d 

    l V  co

    o

    b    

      

     =

    ut  se s   f   AV   =

    D i ' A h R d '

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    De!i#n o' Anhor Rod! 'orShear A.o?Pro+eted area o' the 'ailure

    !ur'ae o' a !in#le anhor re%ote'ro% ed#e! in the diretion"er"endiular to the !hear 'ore

    A.?A""ro$i%ated a! the (a!e o' a

    trunated hal' "&ra%id "ro+etedon the !ide 'ae o' the %e%(er

    E$a%"le o' alulation o' A. ,ith ed#e

    di!tane

    9 le!! than 41:4

    ( ) 215.4   c Avo =

    )5.1(5.1 211   ccc Av   +=

    D i ' A h R d '

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    De!i#n o' Anhor Rod! 'orShear Pr&out !tren#th o' anhor

    No%inal !tren#th in !hear /n ? %in/!7

    /(7 /"

    Co%"are !hear 'ro% olu%n7 /u7 to /n I' /

    u

     le!! than φ/n

     o2

    I' /u #reater than φ/n %u!t "ro.ide !hearrein'orin# around anhor rod! or u!e!hear lu#!

    cbcpcp   N k V    =

    C (i d T i d

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    Co%(ined Ten!ion andShear Aordin# to ACI 345 A""endi$ D7 anhor rod!

    %u!t (e he2ed 'or interation o' ten!ile and!hear 'ore!

    2.1≤+n

    u

    n

    u

     N 

     

    φ φ 

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    Re'erene!

    A%erian Conrete In!titute ACI 3456

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    Co%%on %i!ta2e!

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    Care'ul ,hen on!iderin# the loationo' anhor! to onrete ,all!

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    Bolt! %i!! ali#n%ent or la!h ,ith#u!!et "late