Canoa Bull

Embed Size (px)

Citation preview

  • 7/26/2019 Canoa Bull

    1/40

    Seismic Resistance of

    Frames Incorporating Precast

    Prestressed Concrete

    BeamShells

    D. K.Bull

    Design

    Engineer

    Smith Leuchars

    Ltd.

    Consulting Engineers

    Wellington,

    NewZealand

    Robert

    Park

    Professor

    and

    Mead

    of

    Civil

    Engineering

    Universityof

    Canterbury

    Christchurch,

    NewZealand

    T

    he use of precast concrete in

    build-

    ing frames has a num ber of

    attractive

    features suchasbetterquality

    control

    of

    the product and savings in formwork

    and construction time. The basic prob-

    lem in the

    design

    of

    earthquake

    resistant

    building structures incorporating

    pre-

    cast concrete elements is in finding an

    economical and practical

    rnethod

    for

    connec t ing th e precast e lements to -

    gether. The connect ion be tween the

    e lements should

    e n s u r e

    sa t i s fac tory

    strength and stiffness against seismic

    l o a d s

    and enable the s t r u c t u r e to

    achieve th e

    necessary ductility

    during

    cyclic loading

    in the

    inelastic range.

    C o m p o s i t e s y s t e m s o f c o n c r e t e

    buildings, combining precast

    and

    cast-

    in-place

    (cast in situ) reinforced

    con-

    crete,

    have a number of

    advantages

    in

    construction. The incorporation ofpre-

    cast

    concrete elements

    has the

    advan-

    tageofhigh qua lity c ontroland speedof

    co n s t r u c t i o n , a n d t h e c a s t - i n -p l a c e

    reinforced concrete provides the struc-

    tural continuity

    and the

    ductility neces-

    sary

    fo r

    adequate seismic performance.

    A

    building

    system

    wh ich

    has

    become

    popular in New Zealand involves the

    use of

    precast concrete beam shells

    as

    p e r m an e n t

    formwork

    for beams . The

    precast shells are typically pretensioned

    prestressed concrete

    U-beams and are

    left permanently

    in

    position after

    th e

    cast-in-place reinforced concrete core

    has been cast.

    The precast

    U-beams

    support

    the

    self

    weightandconstruction

    loads and act co m p o s i t e ly w i t h the

    r e in forced concre te core whensub-

    jected

    to

    other loading

    in the

    finished

    54

  • 7/26/2019 Canoa Bull

    2/40

    INS T IT UT O CHILENO Q FL

    CEMENTO

    structure.

    The

    precast U-beams

    are not

    connected

    by steel to the cast-in-place

    concrete

    of thebeamor column.

    The typicalstructuralorganization of

    abuildingfloor and

    frame system

    incor-

    porating

    the

    precast pretensioned

    U-

    beam

    units

    is

    shown

    in

    Fig.

    1.

    Current

    construction practice is to support the

    U-beam units

    on the

    cover concrete

    of

    the

    previously cast reinforced concrete

    columnbelow,with

    a

    seating

    of 40 to 50

    mm

    (1.6 to 2.0 in.) and toplace apro-

    prietary precast concrete

    floor

    system

    between the U-beams of adjacent

    frames.

    Some

    propping may b-; provided

    under

    the

    ends

    of the

    U-beam units

    as a

    back-up

    measure in case the U-beam

    seatingon the column should prove in-

    adequate tocarrythe construction load.

    Once the precast

    f loor

    system is in

    place,

    the

    reinforcement

    may be

    placed,

    and the

    in-place

    concrete cast, inside

    thebeam units,the topping

    slab

    and the

    colum ns of thenextstory.The sectiono f

    the

    composite beam

    in the

    finished

    structure

    is

    shown

    in

    Fig.

    2.

    Precast

    concrete

    columns have sometimesbeen

    used rather than cast-in-place concrete

    columns.

    The precast prestressed concrete

    U-beam

    illustrated in Fig. 2 has webs

    tapered

    from the bottom to the

    top,

    to

    ensureease

    of

    removing internal form-

    work

    when

    precast.

    The inside surface

    is

    intentionally roughened,by the use of

    a

    chemical retarder

    and the

    removal

    of

    the

    surface cement paste,

    to faciltate

    the

    development

    of

    interface bond

    be-

    tween

    the

    precastU-beamconcrete

    and

    the cast-in-place concretecore.

    The

    U-beams

    are

    pretensioned with

    seven-wire strandsand aredesigned to

    carry

    at least allof the self

    weight

    and

    imposed loads during construction.

    Note

    that

    the

    strands termnate

    in the

    end of the

    U-beam

    and

    henee

    are not

    anchored in the beam-columnjointre-

    gions of the frames.

    Initiallyin NewZealand, precast con-

    crete U-beams were principally used

    in

    The performance of

    frames

    ncorporaing presast pre

    concret

    U beam

    shells

    to

    leading,

    is

    invest-

    gaied.

    The ac as

    formwork

    and areno

    oon

    nected

    by stee te

    the

    concreteof the

    o.r

    eolumii,

    Three

    fui eoi

    performance

    characteristicswhen

    plstic

    hinge

    re-

    gions

    occur

    in

    he

    bearns

    adjacent

    to

    Provlsonsfor

    the

    of

    such eomposite structures are

    dte-

    cussed andadditonal design

    reeorn-

    mendatiorts on-the test

    are wiiere necessary.

    A

    numrica design

    exampleis

    tollustrae

    the

    design

    the constructionoflowrise buildingsin

    which the

    horizontal seismic loads

    are

    resisted

    primarily by other elements

    such as totally cast-in-place reinforced

    concrete structural walls

    or

    frames.

    A n

    early example ofthis type ofconstruc-

    tion

    is the Karioi

    PulpM ili

    1

    (see Fig.

    3).

    Recent trends have seen this

    form

    of

    composite beam construction used in

    multistory momentresisting reinforced

    concrete framed structures. In this ap-

    plication,

    the composite beams are re-

    quired to be adequately ductile to act as

    the

    primary

    energy dissipating members

    during seismic loading. Doubts have

    beenexpressed bysomedesignersand

    building

    officials

    concerning

    the ability

    of

    thisform

    of

    composite construction

    to

    be

    able

    to

    fulfill that demand.

    This

    paper reviews seismic design

    considerations

    for f r a mes

    with such

    composite beams. The results of tests

    PCI JOURNAL/July August 1986

    55

  • 7/26/2019 Canoa Bull

    3/40

    Proprietory

    Floor

    Sys tem

    and

    Cast-in-place

    Concrete

    Topping

    Precast Concrete

    U-Beam

    Cast-in-place

    Concrete

    Beam Core

    Reinforcing

    Concrete

    Column

    Fig.

    1.

    Construction details

    of a

    composite structural

    system

    not

    al l

    reinforcement

    is

    shown).

    conducted

    on

    three full scale composite

    beam-exterior

    co lumn

    subassemblies,

    subjected to simulated seismic loading,

    are

    summarized. Design provisions

    basedon the

    test results

    are

    proposed

    and

    a numerical

    design example

    is in-

    cluded

    to

    Ilstrate

    the

    design approach.

    The

    results

    of the

    tests may

    be

    seen

    re-

    ported

    in

    more detail

    in

    Ref.

    2.

    SEISMIC

    DESIGN

    ONSIDER TIONS

    In the

    design

    of structures forearth-

    quake

    resistance,

    a

    prime

    consideration

    is

    to

    ensure that

    the structure is

    capable

    of deforming in aductile

    manner when

    subjected to

    several cycles

    of

    horizontal

    loading

    well

    into the inelastic range.

    This

    is

    because

    it is

    generally uneco-

    nomical

    todesign astructuretorespond

    in the elastic range to the large hori-

    zontal

    inertia

    loads induced by the

    greatest likelyearthquake.

    The

    recommended level

    of

    seismic

    design loads

    in

    codes

    is

    generally sig-

    nificantly

    lower

    than

    the

    elastic

    re-

    sponse inertia loads during severe

    earthquakes

    and the structuremay be

    required to undergo horizontal dis-

    placements which are

    four

    to sixtimes

    the

    horizontal displacement

    at the

    commencement

    of

    yielding

    of the frame.

    The

    ratio

    of the

    mximum

    displacement

    to the

    displacement

    at first yield is

    commonly

    referred to as the displace-

    ment

    ductility

    factor.

    Ideally,

    th e

    design concept

    for

    mo-

    ment resisting

    frames

    should

    aim at

    dis-

    sipating seismic energy by

    ductile

    flexuralyielding

    at

    chosen plstic hinge

    56

  • 7/26/2019 Canoa Bull

    4/40

    C a s t - i n - p l a c e

    Co n cre te

    Beam Core

    C a s t - i n - p l a c e

    C onc re te Topp ing

    Precast

    Concrete

    Floor Slab

    Precast

    Prestressed

    Concrete U - B e a m

    Unit

    Fig.2. Sectionofcompositebeamin

    finished

    structure

    reinforcement

    is not

    shown).

    Fig.

    3.

    Precast concrete U-beams used

    as

    permanent formwork

    for

    cast-in-place

    reinforced

    concrete

    frames (KarioiPulpMiliBuilding,

    New

    Zealand).

    regions

    when

    th e

    structure

    is

    subjected

    to

    the seismic design loads. The restof

    the frame should be made sufficiently

    strong

    to

    ensure that

    it

    remains

    in the

    elastic

    range when flexuralyieldingoc-

    curs at the chosen

    plstic

    hinge loca-

    tions. This

    means

    ensuring that shear

    failures

    and

    bond failures

    do not

    occur

    and that the

    preferred

    energy dissipat-

    ing

    mechanism

    forms.

    M e c h a n i s m s

    involving flexural

    yielding atplstic

    hinge

    s are shownin

    Fig. 4.

    If

    yielding commences in the

    column

    beforeitoccursin the

    beams,

    a

    column sidesway mechanism can form

    as illustrated

    in

    Fig.

    4b.

    Such

    a

    soft

    story mechanism can make

    very large

    curva ture ductility demands on the

    plstic

    hinges

    of the

    critical story, par-

    ticularlyin thecase

    of

    tall buildings.

    On

    the

    otherhand,

    if

    yielding occurs

    in

    the

    beams before

    it

    begins

    in the

    col-

    umns a beam sidesway mechanism,i l-

    lustrated

    in

    Fig.

    4c, can

    develop which

    makes

    more modrate demands

    on the

    curvatureductility requiredat the pls-

    tic

    hinges

    in the

    beams

    and at the

    col-

    umn

    bases, evenfortall frames.

    There-

    PCIJOURNAUJuly-August

    1986

    57

  • 7/26/2019 Canoa Bull

    5/40

    jy/ -rl

    i- -w- -l

    U^N^-%Jt-w-'M-vl

    l vi y ^br v yj

    Plstic

    hinge

    Bending

    moment

    (a) Moment

    resisting

    trame

    (b)Columnsidesway

    mechanism

    (c)Beamsidesway

    mechanism

    Fig.4.Momentresistingtramewith horizontal seismic

    loading

    andpossible mechanisms.

    fore,

    fo r

    tall

    frames,

    a

    beam sidesway

    mechanism

    is

    the

    preferredmodeof in-

    e l a s t i c d e f o r m a t i o n

    an d a

    s t r o n g

    column-weak beam concept is advo-

    catedtoensure beam hinging.

    For frames with

    lessthan

    about

    three

    stories, and for the top story of tall

    frames,

    the curvature ductility required

    at the plstic hinges if a colum n side-

    sway mechanism develops

    is not

    par-

    ticularly high.

    3

    Henee, for one- and

    two-story frames, and in the top storyof

    taller frames, a weak co l u m n-s t r o ng

    beam concept

    can be permitted.

    4

    '

    5

    '

    6

    This

    approach

    would

    protect the composite

    beams from damage during seismicmo-

    tions.

    H o w e v e r , for tall

    f rames

    w h e r e a

    strong column-weak beam concept is

    necessary, the

    composite beams

    will

    need to be designed for adequate duc-

    tility. Seismic design considerations fo r

    moment resisting frames when plstic

    hinges form

    in the

    composite beams

    are

    discussed

    in the

    bllowingsections.

    Flexura Strength

    of

    Beams

    The critical section for

    f lexure

    in

    beams inmoment resisting frames sub-

    jected

    to

    gravity

    and seismic loading is

    at or near th e beam ends . In frames

    w here gravity loadingeffects

    domnate,

    the

    criticalsections

    fo r

    positive m om ent

    due to gravity plus seismic loading

    may

    occur in the beams away

    from

    the col-

    umn

    faces.

    The critical negative m o-

    ment sections will always occur at the

    beam ends.

    A

    distinctive feature

    of the

    behaviorof the composite beam-column

    connection shown in Fig. 1 is that the

    prestressing strands

    of the

    precast con-

    crete U-beam termnateat the end of the

    U-beam and henee are not

    anchored

    in

    th e

    beam-column joint core.

    T h e

    n e g a t i v e m o m e n t f l e x u r a l

    strength

    at the end of the

    composi te

    beam will be aided by the presence of

    the U-beam since the bottom flange of

    the

    U-beam will bear

    in

    compression

    against th e

    cast-in-place

    column con-

    crete (see Fig. 5b). Henee,

    the

    upper

    limit of the

    negative moment flexural

    strength

    at the

    ends

    of the

    beam will

    be

    thatof the composite section. How ever,

    should

    the

    beam

    end

    bearing

    on the

    column

    concrete

    and/or

    the interface

    bondbetween

    the

    cast-in-place

    and

    pre-

    cast

    beam concrete break down during

    seismic loading, the available negative

    moment

    flexural

    strength will reduce

    to

    less

    than the composite section valu.

    The

    lower

    l imit of negative moment

    flexural strength

    at the

    beam ends

    is

    that

    provided

    by the

    cast-in-place reinforced

    concrete core alone. The negative mo-

    ment

    flexural

    strength away

    from

    the

    ends will

    be

    that

    due to the

    composite

    section.

    Thepositive mom entflexuralstrength

    at the end of the

    beam w ill

    be

    provided

    only by the longitudinal reinforcement

    58

  • 7/26/2019 Canoa Bull

    6/40

    and

    the cast-in-place

    concrete

    in the

    beam core

    and slab

    topping (see Fig.

    5a). A wayfrom

    the beam ends there

    will

    be

    somecontribution from the precast

    prestressed U-beam

    to the

    positive

    mo-

    mentflexuralstrength, but a

    full

    contri-

    bution

    from

    the prestressing strands

    (and henee

    full

    composite action of the

    section) can

    only occur

    at a

    distance

    greater than approximately 150 strand

    diameters from the beam end, whichis

    the order oflength required to develop

    thetensilestrengthof the strand.

    Henee, the dependable negative and

    positive

    flexural

    strengths

    of the

    com-

    posite beamat the beam ends shouldbe

    taken

    as

    that

    p rov ided on ly

    by the

    cast-in-place reinforced concrete beam

    core.

    Plstic Hinge Behavior

    of

    Beams

    The length of the plstic hinge regin

    inthe beamsis ofinterest in seismicd e-

    sign

    sincethe plstic hinge lengthhas a

    significant

    effect

    on the

    level

    of

    dis-

    placement ductility factor which

    can be

    achieved by f r a m e s . Longer p ls t ic

    hinge

    lengths

    lead

    to

    greater available

    d i sp lacemen t duc t i l i ty factors for a

    given

    ultmate section curvature.

    3

    In a

    conventional reinforced concrete

    frame

    the length of the beam regin over

    which

    the

    tensile reinforcement

    yields

    is typically about equal to the beam

    depth

    and

    several

    flexural

    cracks

    will

    form

    in

    that regin.

    In th e

    composite system considered

    here, in w hich there is no connection by

    steel be tween the end of the precast

    prestressed U-beamand thecolumn,the

    length of the regin of reinforcement

    yielding at the end of the composite

    beam

    when the bending

    moment

    ispos-

    itive will be less than for a beam in a

    conventional reinforced concrete

    frame.

    This

    is

    because when positive moment

    is

    applied,

    the first

    crack

    to

    form w i ll

    be

    atthe contact surface between the end

    of

    the precast U -beam and the face of the

    column.It is possible that positive mo-

    mentplstic rotatioiis

    will concntrate

    at

    this

    one

    cracked section, since signifi-

    cant crackingmay notoccurin the flex-

    urally stronger adjacent composite sec-

    tions during subsequent loading.

    If

    the flexural

    cracking

    in the

    beamduring positive bending moment does

    concntrate at the column face, the con-

    s e q u e n c e w o u l d be h i g h e r b e a m

    curvatures in the plstic hinge regin

    than for conventional reinforced con-

    crete

    members .

    Henee,

    the

    concrete

    there

    w o u l d be s u b j e c t e d to h i g h

    localized

    compre

    ssive strains

    and the

    longitudinal reinforc em ent in the beam

    there

    w ould

    suffer

    high localized

    plstic

    tens i le s t ra ins which would perhaps

    lead to bar fracture when signif icant

    plstic hinge rotation occurs.

    Further,

    the extensive widening of that crack at

    large plstic hinge rotations may mean

    that

    the

    shear resistance mechanism

    due

    to

    aggregate interlock alongthe (verti-

    cal) crack will break down, leading to

    sliding

    shear

    displacements

    along that

    weakened vertical plae.

    Theseopinionsconcerning

    the

    plstic

    hinge behavior d uring positive m om ent

    have resulted in

    reservations

    being ex-

    pressed by some designers about the

    performance of this type of composite

    beam when required to act as

    primary

    e n e r g y d i s s i p a t i n g m e m b e r s d u r i n g

    seismic loading.

    The possible shorteningof the length

    of

    the

    regin

    of

    reinforcement

    yielding

    onlyapplies when the beam m oment is

    positive. When

    the

    beam momen t

    is

    negative,thebehavior shouldbesimilar

    to a

    conventional reinforced concrete

    beam, sincethe top of the cast-in-place

    concrete core doesnot havethe precast

    U-beam surrounding it and the plstic

    hinge regin should be able to spread

    alongthe beam.

    One

    possible approach,

    aimed

    at

    im -

    provingthe plstic hinge

    behavior

    dur-

    ing positive moment, wouldbe to con-

    struct a

    compo site beam

    in such a

    man-

    ner

    that

    in the

    potential plstic hinge

    re-

    PCI

    JOURNAUJuly-August1986

    59

  • 7/26/2019 Canoa Bull

    7/40

    4>

    Diagonal

    compression

    T r strut

    x . ,

    lp||

    irHr

    Flange of

    U-beam

    (a)

    Positive Bending

    Moment Applied to Beam

    Diagonal

    compression

    strut

    Flange o f

    U- beam

    compression

    strut

    fb) Negative

    Bending Moment

    Applied to Beam

    Note:

    Not

    all reinforcement

    is

    shown.

    Fig.

    5. Internal torces

    acting

    on a composite b eam-exterior

    column jointcore during positive and

    negative beam moments.

    gionsat theendsofthebeamthebondat

    the interface between the precast pre-

    stressed U-beam and the cast-in-place

    concrete core is intentionally elimi-

    nated. The effect of such adetailwould

    be to

    allow

    the plstic hinge regin to

    spread along

    the

    cast-in-place

    concrete

    beam core without hindrance from the

    U-beam,and soavoidthe

    possible

    con-

    centration

    of thebeam plstic hingero-

    tation in the regin ciseto the end of

    thebeam.

    In the

    plstic

    hinge regions of the

    beams

    the reinforced concrete cast-in-

    placecore should have longitudinal and

    transverso

    re in forc ing

    steel which is

    detailedaccordingto theseismic design

    provisions fo rreinforced concrete duc-

    tile

    frames.

    This

    typically

    means

    a

    limi-

    tation on the mximum

    rea

    oftensin

    steel,thepresence ofcompression steel

    with

    an rea

    of at least

    one-half

    of the

    rea oftensin steel, and stirrup

    ties

    with acise spacingso as toconfine the

    60

  • 7/26/2019 Canoa Bull

    8/40

    compressed concrete

    and to

    prevent

    buckling

    of

    longitudinal bars

    and

    shear

    failure.

    In the New Zealand concrete design

    code

    5

    the

    spacing

    of

    stirrup ties

    in the

    potential plstic hinge regions

    of beams

    is required

    not to

    exceed

    the

    smaller

    of

    one-quarter

    of the

    effective

    depth

    o f the

    beam or sixlongitudinal bar diameters

    or 150mm (6

    in.).

    The potential plstic

    hinge regin is taken to extend over a

    lengthequal to

    twice

    the

    overall beam

    depth.

    ShearStrength

    of

    Beams

    In the

    plstic hinge regions

    at the

    ends of composite beams the cast-in-

    place rein force d concrete core

    w ill

    need

    to resist all the

    applied shear forc

    alone, if the bond at the interface be-

    t w e e n the precas t U - b e a m and the

    cast-in-place concrete breaksdow n

    or if

    the

    bond

    is

    intentionally el iminated.

    Therefore,the beam core shouldbe de-

    signed to have

    suff ic ient

    t ransverse

    reinforcement

    to

    resist

    the

    design shear

    forc,

    using the seismic design provi-

    sions for reinforced concrete ductile

    frames.

    Aw ay

    from theendso f the beam,

    th e

    whole

    composite section

    m ay

    be

    considered to provide shear resistance.

    In order toavoidashear failure,and

    henee to ensure that ducti le plstic

    hingingof the

    beams

    can

    occur during

    severe

    seismic loading,thedesign shear

    forc

    for the

    beams should

    be

    that

    as-

    sociated

    with the likely

    beam over-

    strength in flexure. To calclate th e

    l ike ly u p p e r

    l imi t

    of f lexura l over -

    strength

    of the beam, composite action

    should

    be assumed in plstic hinge re-

    g i o n s

    w h e r e n e g a t iv e m o m e n t i s

    applied, since

    the

    flange

    of the

    U-beam

    can

    act as the

    compression zone

    of the

    composite member, as previously dis-

    cussed.

    However , for positive bending mo-

    mentinplstic hinge region sat the ends

    of the member, only the cast-in-place

    reinforced

    concrete

    beam core

    need

    be

    considered.

    If

    positive moment plstic

    hinges form away from the beam ends,

    the composite section flexural

    strength

    should

    be

    used

    if the

    interface shear

    and

    strand development length require-

    mentsare

    satisfied.

    The

    stirrup ties provided

    in the po-

    tent ia l pls t ic h inge reg ions of the

    beams

    should be capable of resisting the

    entire

    design shear forc by

    truss

    action

    alone, since

    th e

    shear carried

    by the

    concrete,V

    c

    , diminishes during severe

    cyclic

    loading. That is,V

    c

    tends to zero

    due to abreakdow n in the shear trans-

    ferred

    by

    dowelaction

    of thelongitudi-

    nal

    bars, by aggregate interlock, and

    across

    the com pression zone.

    Interface

    Shear Transfer

    BetweenPrecastU-Beam and

    Cast-in-Place

    Concrete

    Core

    Composite action of the beam can

    only occur if shear can be

    transferred

    across

    th e

    inter face between

    the ad-

    joining

    precast and cast-in-place con-

    crete surfaces with practically

    no

    slip.

    Shear stress

    is

    transferred across

    the

    interface

    of concrete surfaces by con-

    c r e t e adh es in , i n t e r l o ck o f mated

    roughened contactsurfaces,and friction.

    Friction

    is

    reliant

    on a

    clamping

    forc

    orthogonalto the contact plae. In the

    composite

    beam detail , reinforcement

    does not cross the contact surface and

    therefore does not provide a clamping

    forc.

    Some small

    clamping

    forc

    may

    be

    generated

    on the side

    faces

    of the

    cast-in-place concrete core by the li-

    be

    amwebs resisting dilation caused by

    re la t ive shear movement a long

    the

    roughened contact surfaces. Neverthe-

    less,it

    wouldseem

    appropriate to ignore

    friction

    an d to

    relyonly

    on

    shear

    transfer

    by

    adhesin

    and

    interlock

    of the

    mated

    roughened contact

    surfaces.

    The

    imposed shear s tresses

    at the

    interface

    of the

    contact surfaces

    of the

    U-beam

    and the cast-in-place concrete

    coreare the summationofstresses

    from

    anumberofsources.The imposed hori-

    PCIJOURNAUJuly-August

    1986

    61

  • 7/26/2019 Canoa Bull

    9/40

    zontal shear stresses

    at the

    interface

    of

    contact surfaces between

    th e

    U-beam

    and

    cast-in-place

    concrete core during

    positive bending m om entarise from th e

    transfer

    of the prestressingsteel tensin

    forc

    from the U-beam to the core, and

    during negative bending moment arise

    from the transferof there inforcin g steel

    forc from

    the

    core

    to the

    U - b e a m

    flange.

    The

    horizontal interface shear stress

    couldbefound from

    V

    u

    /b

    v

    d,

    where

    V

    H

    = vertical shear

    forc

    at factored

    (ultmate)

    load

    b

    v

    = total w idth of interface(tw osides

    plus bottom

    surface)

    and

    d

    =

    ef fect ive

    depth

    of compos i te

    section

    This

    is a

    simplistic approach

    to the

    more

    complex real behavior

    of the U-

    shaped

    interface.

    The

    imposed vertical shear stresses

    at

    the interface during service loading

    arise from the superimposed live loads

    being supported by the floor sys tem.

    The

    service live loads need

    to be

    trans-

    ferred

    from

    the U-beam

    unit,

    on

    which

    the floor system is seated, to the cast-

    in-place concrete core by vertical shear

    stresses acrossthe interface (see Fig.2).

    The self

    weight

    of the U-beamunit,the

    precast concrete floor system, and the

    cast-in-place concrete core and floor

    topping during service loading are car-

    ried

    by the U-beamaloneand therefore

    will not cause vertical shear stresses at

    th e

    interface.

    However, the

    transfer

    ofvertical shea r

    stresses across

    the

    interface will

    be

    more critical at the factored

    (ultmate)

    load if the end supp ort of the U -beam in

    thecolum n cover concrete is

    lost

    during

    seismic

    loading.

    Inthatcase the vertical

    shear stresses will arise from

    the

    self

    weight of the U-beam, the precastfloor

    system

    and the

    cast-in-place concrete

    core and floortopping, aswell as

    from

    the

    live loads. This more critical case

    at

    ultmate should

    be

    used

    to

    determine

    the design vertical shear stress at the

    interface.

    In the New

    Zealand

    concrete design

    code

    5

    an interface shea r of 0.55 MPa (80

    psi)

    is

    permitted

    at the factored (ult-

    mate) load fo r interfaces that have no

    cross

    ties,

    but

    have

    th e

    contact surfaces

    cleaned and intentionally roughened to

    a

    full

    amplitude

    of 5 mm

    (0.2

    in.).

    A de-

    sign approach to check interface shear

    transferw hen the inside

    face

    of the pre-

    cast U-beams have been so roughened

    would be to

    find

    the

    vector

    sum of the

    imposed design horizontal

    and

    vertical

    shear stresses at the interfa ce at the fac-

    tored (ultmate) load

    and to

    ensure that

    it is lessthan0.55 MPa (80psi).

    Columns

    Seismic design provisions for rein-

    forced

    concrete ductile frames should

    be used to determine for the columns

    th e

    longitudinal reinforcem ent required

    for

    flexure and axial load, and the trans-

    verse reinforcement required for shear,

    co nc r e t e co n f inem en t a n d res t r a in t

    against buck lingoflong itudinal bars.

    For

    tall

    frames

    a strongcolumn-weak

    beam concept is adopted, in order to

    prevent as far as poss ible a column

    sidesway

    mechanism

    (soft story) from

    occurring during a major earthquake.

    Henee,

    th e

    column bending moments

    found

    from

    elastic frame

    analysis for the

    code factored (ultmate) load combina-

    tions

    need to be amplified to give a

    higher column design moment, to take

    into account

    the

    l ike ly beam over -

    strength

    in flexure, the higher mode ef-

    fects of dynamic loading which can

    cause much h igher co lumn moments

    than calculated fromcode static loading,

    and the

    possible effect

    of

    seism ic load-

    ing acting along both principal axesof

    th ebuilding simultaneously.

    3

    '

    4

    '

    5

    '

    6

    Similarly,

    the

    column shear

    forces

    found

    from

    elastic

    frame

    analysis

    for the

    code

    factored (ultmate) load combina-

    tions need to be amplif ied to give a

    higher design shear forc so as toavoid

    the

    possibility

    ofbrittle shear failure of

    the

    columns.

    Transverse

    reinforcement

    62

  • 7/26/2019 Canoa Bull

    10/40

    in the column ends is

    also

    necessary to

    provide flexural ductility there, since

    th e amplified column

    design

    moments

    may not be

    sufficiently

    high to

    elimnate

    the possibility of

    some

    column hinging.

    In

    pa rticular,

    a transverso bar

    spacing

    of

    not

    more

    than

    six times the longitudinal

    bar

    d iamete r

    to

    p re v e n t p r e m a t u re

    buckling of

    compressionsteel

    is an im -

    portantrequirement.

    Beam-ColumnJoints

    The d e s i g n s h e a r fo r c e s for the

    beam-column joint corescan be based

    on

    th e

    overstrengthinternal forces

    from

    beams.

    During negative bending moment ,

    the greatest beam flexural s t rength

    arises from composite action when the

    precast U-beam flange transfers most of

    the

    com pressiveforc

    in the

    beam

    to the

    joint core by direct bearing against the

    column.Then both

    the

    upper

    and

    lower

    layers of

    longitudinal reinforcement

    in

    the beam m ay be in tensin .Ajoint core

    diagonal compression mechanism in-

    volvingtw o

    struts

    w hich

    transfer

    partof

    thejointcore

    forces

    isshowninFig.5b.

    One strutformsbetween the bends in

    the upper tensin steel and the lower

    concrete compression zone. The other

    strutformsat a shallowangleto the h or-

    izontal betw een the bendsin the lower

    tensin steel

    and the

    lower compression

    zone. Should the flange of the precast

    U-beamceasetotransfer com pression to

    the

    column during seismic loading,

    the

    negative beam moment

    will be due to

    the cast-in-place concrete

    core alone

    and

    the joint core behavior

    wil l

    be that

    of a conventional reinforced concrete

    frame.

    During positive bending moment,the

    cast-in-place reinforced concrete alone

    transfers

    the beam

    forces

    to the beam-

    column joint core. Henee, for positive

    moment in the beam the joint core be-

    havior

    is that of a conventional rein-

    forced concrete

    frame.

    Adiagonal com-

    pression strut mechanism which trans-

    ferspartof thejoint core forces isshow n

    inFig.

    5a.

    It is apparent thatthe code approach

    for the designofcast-in-place re inforced

    concrete beam-column joints could be

    used ignoringforces from possible com-

    posite

    beam action.

    That

    is, the design

    horizontal joint core shear forces could

    be

    found

    for the

    cast-in-place concrete

    beam acting alone. This assumpton is

    obvious for positive beam moments but

    is an

    approximation

    fo r

    negative

    mo-

    ments . However, for negative beam

    moments the upper layers of bars intro-

    ducethehorizontaljointcore shear forc

    over

    the

    greatest part

    of the

    coredepth.

    The horizontal shear

    forc

    introduced

    by the

    lower layers

    of

    bars

    may be as-

    sumed to be equilibrated by the very

    sha l low d iagona l compress ion s t ru t

    shown

    in Fig. 5b if those bars are in ten-

    sin.

    The joint core mechanism resisting

    th e applied forces is

    made

    up partly by

    the diagonal compression strut mecha-

    nismsdescribed above

    and

    partly

    by a

    truss

    mechanism involving transverse

    hoop reinforcement and intermediate

    column bars. During

    cyclic

    loading

    in

    the inelastic range the joint core shear

    transferredby the diagonal com pression

    strut mechanism decreases, mainlydue

    to

    the presence of

    fulldepth

    cracking in

    the beam at the column face, and the

    shear transferred by the truss mecha-

    nism

    increases.

    5

    '

    6

    TEST

    PROGRAM

    Three

    full-scale

    compos i te beam-

    exterior column units havebeentested

    2

    to

    assessthe seismic performance char-

    acteristics of the composite frame sys-

    tem

    described. The overall dimensions

    of

    the

    units

    are

    shown

    in

    Figs.

    6, 9 and

    10. For ease ofconstructionof the un its,

    the

    T-beam

    flanges typically resulting

    from

    the presence of the cast-in-place

    concrete loor topping were not

    mod-

    elled.

    PCIJOURNAUJuly-August 1986

    63

  • 7/26/2019 Canoa Bull

    11/40

    450

    8

    F B

    \B

    2645

    250

    ,Cast-n-place

    Beam

    P recas t

    U Beam

    400

    250

    400

    SECTION

    A-A

    SECTION B-B

    SECTION

    C-C

    Fig.

    6.

    Elevation

    and

    sections

    of

    test units (dimensions

    in

    mm).

    Note:1 mm =0.0394in.

    Fig.

    7.

    View

    of

    beam

    and

    column reinforcement

    in

    place

    during

    construction

    of

    Unit

    1.

    64

  • 7/26/2019 Canoa Bull

    12/40

    Dabonding

    material

    3.5

    mm

    thick

    foam

    rubber

    Length of

    debonded regin=

    depth

    of cast-in-ploce

    core + U-beam sea ting

    U-bam

    seating

    4O-50mm

    Lowor column

    Fig. 8. Method of

    debonding potential

    plstic hinge regin of Unit 3.

    A ll

    units were designed usingthe

    N ew

    Zealand concrete design code

    5

    with

    the

    addition

    of the

    suggestedsup-

    plementary seismic design recommen-

    dationswhere necessary

    as

    discussed

    in

    the

    previous section. The strength re-

    duction

    factorswere takenas

    = 1 in

    all

    calculations and the

    overstrength factor

    for

    the longitudinal beam reinforce-

    ment, used forthe

    calculation

    of the de-

    sign

    shearforces,w astakenas

    1.25.

    DetailsofTest Units

    Unit

    1 was

    detailed using code provi-

    sions

    fo r

    seismic loading, with

    a

    poten-

    tial

    plstic

    hinge reginin thebeamad-

    jacentto thecolumnface.Unit2 was not

    detailed

    for

    seismic loading, being

    de-

    signed

    using code provisions

    for

    gravity

    loading

    only.Unit

    3 was

    detailed using

    code provisionsfo rseismic loading and

    w as

    identical

    to

    Unit

    1 in all respects

    except

    that

    the interface between the

    precast

    U-beam

    and

    cast-in-place

    con-

    crete

    core

    in the

    potential plstic hinge

    regin wasdeliberately debonded in an

    attempt

    to improve the plstic hinge be-

    havior. Thedetails of thereinforcement

    in all units is shown in Figs. 9 and 10.

    The

    interior

    surfaces

    of all

    precast

    U-beams had been roughened with an

    amplitude typically of 3 mm(0.12in.).

    This

    surfaceroughnessw asachieved by

    chemical retarding

    of the

    interior

    sur-

    face

    after

    initial

    set and

    thenremoval

    of

    th e

    surface

    cement paste

    from

    around

    the aggregate by washing with water

    and wire

    brushing.

    The in-place concrete of the units was

    castin the same orientation as for apro-

    totype

    structure and according to antici-

    pated site practice. There were

    two

    poursof

    in-place concrete

    fo r

    each unit.

    First,

    the

    lowercolumn

    was

    cast

    up to

    the height where the precast U-beam

    would be seated on it. The precast U-

    beamw asplacedon theedgeof the top

    surface

    ofthis column pour when

    con-

    crete strength was gained (see

    Fig.

    7). In

    PCIJOURNALVJuly-August

    1986

    65

  • 7/26/2019 Canoa Bull

    13/40

    Stirrups

    -R16 3-R16 g

    V l^OO

    R1O

    hoop

    A

    '

    y

    ^ r

    R12

    SECTIQN

    3

    2-7.S

    strar

    R6

    stirr

    * >

    225

    3-12-

    stran

    SEC

    83

    mm

    ids

    ^~