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    PDHonline Course S184 (2 PDH)

    Flexible Metal Deck Roof Diaphragms

    Instructor: D. Matthew Stuart, P.E., S.E., F.ASCE, F.SEI , SECB, MgtEng

    2013

    PDH Online | PDH Center

    5272 Meadow Estates DriveFairfax, VA 22030-6658

    Phone & Fax: 703-988-0088www.PDHonline.orgwww.PDHcenter.com

    An Approved Continuing Education Provider

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    D.MatthewStuart 1

    Sheardiaphragmsareessentiallyplanarstructuralsystemsfoundinroofs,floors,andwallsof

    buildings. Theyarecomprisedofinterconnectedunits,attachedtosupportingmembers,such

    thattheentireassemblypossessesbothinplaneshearstrengthandstiffness.Themajor

    components

    of

    a

    diaphragm

    include

    the

    individual

    deck

    panels,

    the

    structural

    members

    to

    which

    theyareconnectedandtheconnectingdevicesorfasteners. Fastenertypesincludewelds,

    screws,powerdrivenpins,orothermechanicaldevicesthathaveapredictablecapacity. The

    strengthandstiffnessofadiaphragmdependsonthepanelproperties,thespanarrangements,

    andthequalityoftheconnections.

    Figure1illustratesthebasicconceptforaroofandwalldiaphragm.InFigure1windpressureon

    thewallsparalleltolengthLactonthebuilding. Alineloadreactionofthispressureis

    distributedto

    the

    top

    of

    the

    wall

    at

    the

    roof

    plane

    via

    the

    vertical

    spanning

    capacity

    of

    the

    claddingoverheightH. Theroof,actingasasimplespanhorizontalgirderofdepthB,distributes

    thewindlineloadasashearreactionalongthetopoftheendwallsperpendiculartoL. Theend

    wallsinturnactasdiaphragmsbetweentheroofandfoundationlevels.

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    D.MatthewStuart 2

    Fortheroofinthisexample,thetotaluniformloadonthediaphragmequalsthecombined

    effectsofthewindwardandleewardcladdingreactions(ww +wL). The maximumendreaction(R)

    oftheroofdiaphragmthereforeis((ww +wL)xL)/2. RdividedbylengthBequalsthecollector

    load

    or

    maximum

    uniform

    shear

    force

    in

    the

    diaphragm.

    The

    maximum

    roof

    diaphragm

    moment

    (M)equals((ww +wL)xL2)/8. Thecorrespondingdiaphragmchordforcesarethereforeequalto

    MdividedbythediaphragmdepthB. Themaximumunitshearonthewalldiaphragmisalso

    equaltotheroofreaction,R,dividedbyB. However,thewalldiaphragmmomentequalsRxH.

    Itshouldalsobenotedthat:

    a. Adiaphragmactslikeashortdeepbeam.

    b. Themaximumaverageshear(R/B)occursattheendsoftheroofdiaphragm.

    c. Zonesnearthemidspanoftheroofaresubjectedtolessunitshearthereforeless

    diaphragmstrengthisrequired.

    d. Thelargerdesignshearsmayberesistedbyusingbothheaviergagepanelsandfewer

    connectionsorbymorefrequentlyconnectedlightergagepanels.Thereforethemost

    efficientuseofmaterialsmaynotbemetbyusingasinglediaphragmdesignforthe

    entireroofarea. However,fromapracticalconstructabilitystandpointitismore

    commonto

    use

    asingle

    deck

    and

    connector

    type

    over

    an

    entire

    roof

    and

    increase

    the

    frequencyoftheconnectorsinordertoresistgreaterinplaneshearforces.

    Roofdiaphragmsmaybeassembledfrom

    awidevarietyofpanelprofilesincluding

    NarrowRib

    (NR),

    Intermediate

    Rib

    (IR)

    and

    WideRib(WR). Eachofthesedifferent

    decktypesaredescribedintheSteelDeck

    Institute(SDI)PublicationNo.31,Design

    ManualforCompositeDecks,FormDecks

    andRoofDecks. Roofdiaphragmpanels

    typicallyvaryfrom0.0295inchesto0.064

    inchesinthicknessandcomeinwidthsof

    18inchesto36inchesormore.

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    D.MatthewStuart 3

    Adiaphragmshouldbedesignedandassembledtocoveraspecifiedareainsuchawaythatin

    planeshearstrengthandstiffnessispredictable. Theprincipalelementsdeterminingthese

    factorsincludespacingofthesupportframing,thesizeandthicknessoftheindividualdeck

    panels

    and

    the

    interconnecting

    fasteners.

    A

    metal

    roof

    deck

    diaphragm

    is

    a

    fairly

    flexible

    system

    somewhatanalogoustoatrussasshowninFigure2. Priortoinstallingthetrussdiagonalor

    attachingthediaphragmtothesupports(andeachadjacentsheetviasidelapconnectors),

    neitheroftheframespossessmuchstrengthorstiffness.Theshearstrengthofadiaphragm

    systemislimitedbythestrengthofconnections,localpanelbucklingandthegeneralplatelike

    bucklingcharacteristicsoftheentirediaphragmarea.

    Inadditiontoneedingtoresistplanarshearforces,inorderforadiaphragmtofunctionproperly

    itisalsonecessarytoprovidemembersalongtheextremeedgesofthedeckasrequiredtoresist

    theflexural

    tension

    and

    compression

    components

    of

    the

    deep

    beam

    member.

    This

    is

    analogous

    tothetopandbottomchordsofatrussresistingthecompressionandtensionforcesofthe

    member.

    Source: CSI

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    D.MatthewStuart 4

    Thestrengthofadiaphragmcanalsobelimitedbyproperattentiontotheedgeandend

    terminationconditions.Inaddition,atinteriorpositions,panelsmustbesufficientlyoverlapped

    toprovideadequateenddistancesfortheconnectorused.Ifpanelsarebuttedattheirends

    rather

    than

    end

    lapped,

    as

    is

    common

    with

    floor

    decks,

    then

    each

    panel

    must

    be

    individually

    connectedatitsendswiththespecifiedpattern.

    Theoverlappingedgesofpanelsshouldbeinclosecontactinordertominimizetheeccentricity

    . . ,

    usedattheoverlapconditionshouldalsobeinstalledontheedgepanelatthediaphragm

    perimeterwherethesidelapconnectorwouldnormallyoccuriftherewereanotheradjacent

    panel. Otherwisetheshearstrengthalongthefirstinteriorsidelapmayexceedthatalongthe

    perimetermemberthusdiminishingthecontributionofthedeckendconnectionatthe

    supportingshearwallorverticalXbracedframe.

    Source: TataSteel

    Establishingwhat

    type

    of

    fastener

    is

    to

    be

    used

    is

    acritical

    component

    of

    designing

    and

    detailing

    adiaphragm.Fastenerscommonlyincludewelds,screwsandpowderdrivennaillikepins.

    Structuralconnectionsincludefastenersthatconnectoneormoresheetstoheavierorthicker

    frameorstructuralmembers. Sidelapconnectionsincludefastenersthatconnectadjacentpanels

    toeachotherandnottothesupportingframemembers. Stitchconnectionsareanothername

    forsidelapconnections.

    Fasteners

    Source: Hilti;MetalDeckSupply;HobartBrothers

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    D.MatthewStuart 5

    Arcspotwelds,orpuddlewelds,areproducedbystrikinganarcontheuppersheet,thereby

    causingaholetoform,whilethelowersheetisbeingraisedtofusiontemperature. Withthe

    attainmentof

    the

    proper

    temperature,

    the

    electrode

    is

    moved

    in

    acircular

    pattern

    until

    the

    hole

    isfilledandfusionattainedonthearcpuddleperimeter. Therelativestrengthinaseriesofwelds

    canvarysignificantlybymodestchangesinweldingtimes.

    WeldedConnections:

    rcspotwe stostructura mem ers .e.we ngo t nners eetstot c erstructura

    members)requiredirectcontactbetweentheunitsforproperheattransfer. Inaddition,aproper

    balancebetweentheweldingtimeandtheelectrodeburnoffrateisessentialtogoodquality

    welding.Weldingmachinepowersettingsrequiredusuallyarewellbelowthoseneededfor

    weldinginhotrolledsteels. Thetimerequiredperweldmayvarybetween3and6secondsor

    moredependingofthepropertiesofpartsbeingconnected.

    Source: PalmBeachCountySchools

    Weldwashersfunctionasaheatsinkallowingholeformationinthinnerpanelswithoutexcessive

    growthofthehole,asthetemperatureoftheunderlyingpanelisincreased. Thewasheris

    subsequentlyfilled

    with

    the

    weld

    stem

    growing

    into

    the

    lower

    panel

    which

    becomes

    anchored

    on

    thewashersholeperimeter. Uponcooling,thewasherisclampeddownontheattachedsheet.

    Weldwashersarerecommendedforpanelsthinnerthan0.0280inches.

    Source: MetalDeckSupply

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    D.MatthewStuart 6

    AllweldsshouldbemadebyqualifiedoperatorsfollowingAWSD1.3Specifications.Asindicated

    previously,weldingthinmaterialusuallyrequiresamuchlowerpowersettingandlowerburnoff

    ratethanwithheavysteelunits. Particularcareisalsorequiredwhenweldingdecktojoistsin

    ordertoavoiddamagetothejoistchords.Preliminaryfieldqualitycontrolcheckscanbemadeby

    placingapair

    of

    welds

    in

    adjacent

    valleys

    at

    one

    end

    of

    apanel.

    A

    visual

    inspection

    will

    show

    if

    theweldmaterialisfusedproperlyandincontactwiththeunderlyingpanel. Intermittent

    contactmayindicateexcessivepowersettings. Separationbetweenthepanelsmayindicate

    insufficientweldingtimeandpoorfusion. Theterminationoftheweldingoperationmaynot

    .

    thanthreequartersoftheweldperimeter.

    Inadjacentdiaphragmpanelswithnestableorflatoverlappingedges,sheettosheetorstitch

    connectionsaretypicallyrequiredawayfromthesupportingmembers. Theplacementofarc

    spotweldsatsuchsidelapsisdifficult. Inaddition,thethinnerthematerial,themoredifficultthe

    weldingoperationbecomes. Weldingofsidelapsisnotrecommendedformaterialof0.0295inch

    orthinner. Theamountofslipormovementexperiencedasweldsareloadedinshearinthin

    steelelementsisverysmallrelativetothatformostothermechanicalconnectors. The

    movementisessentiallylimitedtopaneldistortionaroundtheweld.

    SidelapScrewConnector

    Source: Bondek

    Screwsmust

    be

    installed

    using

    properly

    calibrated

    tools

    in

    order

    to

    avoid

    overdriving

    which

    can

    stripthethreadsatsidelapsorseverthescrewwhenitisplacedintoathickersupporting

    member. Thequalityofscrewconnectorsingeneralistypicallynotamajorproblemalthough

    thesetypesofconnectorscansometimesfracturewhenbeingdrivenintoathickersupporting

    material. Themostcommonproblemwithscrewconnectorsinvolvesallowingthescrewto

    threadupontheuppersheetbeforebecomingengagedinthelowersheetthusleavingmajor

    ScrewConnections:

    gapsbetweentheseparatepanels. Suchscrewsshouldberemovedandredrivennearbywhile

    forcingsheetlayerstoremainindirectcontact.

    Source: Simpson

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    D.MatthewStuart 7

    Powderdrivenfastenersmustbeinstalledfollowingthemanufacturersrecommendations. Care

    mustbeexercisedinsettingthedrivingforcetoobtaintheproperdepthofpenetration. Once

    drivenproperly,thesenaillikefastenersareveryresistanttoextractionbyupliftforces. Inuplifttestsonsheetmaterial,theusualmodeoffailureinvolvestearingthesheetaroundtheheador

    washerleavingthefastenerinplace.

    PowderDrivenFasteners:

    Source: Hilti

    Thequality

    of

    button

    punching

    is

    difficult

    to

    maintain

    because

    the

    attachment

    depends

    on

    the

    careandtheenergyusedbytheinstallerandthetoolthatisused.

    ButtonPunchedSidelaps:

    Source: Metaldeck.com

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    D.MatthewStuart 8

    1. Strengthvs.Cost:Itistypicallybettertoachievetherequireddiaphragmstrengthwitha

    greaternumberofweakerbutlessexpensivefasteners. Howeveritisrecommendedthatthe

    designershouldcheckthedeflectionofthediaphragm.

    2. Theinsurancefireratingorwindupliftrequirementsofabuildingmaynotallowa

    Miscellaneous:

    .

    3. Thecommonavailabilityofanygivendeckattachmenttool,equipmentorpowersourcemay

    dictatethechoiceoffastenerforanygivenproject.

    4. Theexposedundersideappearanceofthedeckmaybeimportant. Ifappearanceiscritical

    sidelapscrewsorevenveryweakbuttonpunchesmayberequiredeventhoughanincreased

    numberoftheseconnectorswouldbeneededoverthatprovidedbywelding.

    5. Atthistimetherearenostandardtestsforupliftloadingsonfasteners. However,uplift

    failureofadeckpanelunderserviceloadingisveryuncommon. Thisisbecausethespacing

    offasteners

    as

    dictated

    by

    diaphragm

    design

    or

    insurance

    requirements

    (Factory

    Mutual

    or

    UnderwritersLaboratories)typicallyexceedsanynetupliftforces.

    Fasteningof

    metal

    deck

    to

    the

    supports

    at

    one

    time

    was

    only

    done

    by

    welding

    until

    self

    drilling

    screwsbecameavailable. Inaddition,weldingofdeckhasalsobeenreplacedtosomedegreeby

    fastenersthatareshotin(eitherairorpowderactuated). Allthreeofthesemethodsof

    attachmentperformthesamefunctionofholdingthedeckinplaceandthusallowingshear

    strengthandstiffness(thatcanbepredicted)tobedeveloped.

    HowtoFastenSteelDeck

    Becausetheconnectionofthedeck(bothsidelapsandtothesupports)isaveryimportant

    componentofthediaphragmcapacity,forbothstructuralstabilityandinsuranceandfirerating

    approvals,itisuptothedesignertochoosethecorrectfastenerstobespecifiedandbeableto

    judgethemeritsofsubstitutionsrequestedbythecontractor.

    Source: BarsinProducts

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    D.MatthewStuart 9

    Welding,whenproperlyexecuted,providesthestrongestandstiffestdeckconnections. Welding

    alsorequires

    the

    most

    skill

    and

    therefore

    should

    be

    inspected

    thoroughly.

    Because

    most

    visible

    welddiametersusedwithsteeldeckarebetweeninchesandinchesneitherAISInorAWS

    capacityformulasshouldbeused. However,testingperformedbytheSDIhasestablished

    strengthsforwelddiametersbetweeninchandinches. Theultimatestrengthformulawas

    determined to be that shown on this slide. The corres ondin AISI formula indicates that reater

    WeldedConnections:

    .

    weldstrengthscanresultwithmultiplemetalthickness(suchasatoverlaps),howevertheSDI

    testssuggeststhatformetaldeckthiseffectshouldbeignored. TheSDIalsorecommends,based

    onthedistributionofthetestresults,thatasafetyfactorof2.75beusedfortheseweldsrather

    thanasafetyfactorof2.56assuggestedbytheAISISpecifications.

    Qf =2.2*t*Fu *(dt)[inkips]

    Where: d=averagevisiblediameter[inches]

    Fu =steelstrength[ksi]

    t=basemetalthickness[inches]

    Itisgoodpracticetouseweldwashersfordeckswithametalthicknesslessthan0.0280inches.It

    isalsorecommendedtouse5/8inchpuddleweldswithoutwashersformaterialthicknesses

    greaterthan

    0.0280

    inches.

    In

    no

    case

    should

    washers

    be

    used

    on

    interior

    sidelaps.

    Inadjacentdeckpanelswithnestableorflatoverlappingedges,sheettosheet(stitch)

    connectionsarerequired. Theinstallationofarcspotweldsatsidelapscanbeproblematic. In

    addition,thethinnerthematerial,themoredifficulttheweldingoperation. Weldingofsidelaps

    . .

    Source: Cordeck

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    D.MatthewStuart 10

    Screwconnections,suchasBuildexTEKSscrews,maybeeitherselfdrillingortheselftapping

    typethat

    requires

    apredrilled

    hole

    prior

    to

    installation.

    The

    most

    commonly

    used

    screw

    size

    to

    attachdecktobarjoistsorstructuralsteelareNo.12andNo.14. SmallerNo.8andNo.10

    screwsaremorecommonlyusedforsidelapconnections.

    ScrewConnections:

    enconnec ng nme a ec o c ers ruc ura mem erssuc as ar o s sor eam

    flanges,littledifferenceexistsintheshearstrengthforNo.12andNo.14screws. Thisisbecause

    thefailuremodeofthedecktendstoinvolvearolluporcrushingofthedeckonthebearing

    sideofthescrewwithfracturelinessubsequentlydevelopinginthedecking.

    Forstitchconnectionsbetweensheets(atthesidelaps)adifferenttypeoffailureoccurs. The

    screw,whennotanchoredintoathickermorerigidelement,tipsovermoreeasilyandismore

    flexible. Althoughtheresultingstrengthmaybelimitedbybearingandtearinginthemetaldeck,

    withsufficientrotationofthesidelap,acombinedtearingandpulloutfailuremayalsooccur.

    TheSDIscrewstudiesindicatethatstitchscrewshearcapacityisindependentoftheyield

    strengthof

    steel

    deck

    that

    is

    commonly

    used

    for

    flexible

    diaphragms.

    The

    most

    common

    prematurefailureproblemwithsidelapattachmentsoccurswhenthescrewisallowedtothread

    upontheuppersheetbeforebecomingfullyengagedinthelower,thuscreatingmajorgaps

    betweentheadjacentunits. Suchimproperlyinstalledscrewsshouldberemovedandredriven

    whileforcingtheoverlappingsheetstoremainincontact.

    Metaldeck

    to

    structural

    support

    connections

    can

    also

    be

    made

    by

    using

    nail

    like

    fasteners,

    driven

    eitherpneumaticallyorwithpowderactuatedtools. Suchfastenersaremadefromhardened

    steelandusuallyhaveaheattreatedshafttoenhanceanchorage. Theshaft,whichmayhavea

    slighttaper,canbefittedwithwashers,concavetothedrivingdirectiontoabsorbthefinaldriving

    energyandclampthesheetinposition.

    PowderDrivenFasteners:

    Sincetherearenopredrilledholesrequiredwiththesetypesofconnectors,theinstallation

    processdisplacesmaterialandleavesitlockedunderthewasher,resultinginverystiff

    connections. Thedrivingdepthiscontrolledbythepowerselectionforthetoolused. Fastener

    strengthisinfluencedbythedrivingdepth.TestsconductedbyWestVirginiaUniversityalso

    indicatethatthethicknessoftheunderlyingmaterialhasnoeffectonshearstrengthsincethe

    thinnersheetmaterialwillcontrolperformance.

    Adrivenfastenershouldbeinstalledsotheheadprojectsoutward,fromtheattachedpart,to

    m sse y emanu ac urer. eax so e as enermus eperpen cu ar o es ee pr or

    todriving,

    usually

    within

    plus

    or

    minus

    10

    degrees

    of

    vertical.

    In

    addition,

    it

    is

    recommended

    that

    edgeandendfastenershaveaminimumsidelapedgedistanceof3/8inchandaminimumend

    andendlapdistanceof1inch.

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    D.MatthewStuart 11

    Incertainpanels,oneedgehasanupstandingsingleelement,whiletheoppositesidehasa

    foldedover

    double

    element.

    As

    panels

    are

    placed,

    the

    single

    element

    is

    inserted

    into

    the

    double

    element,producinganupstandingsidelapthatcanbebuttonpunchedtoprovideinterlockingof

    thetwoadjacentsheets.

    ButtonPunchedSidelaps:

    an opera e punc ng oo ormsa ree ayernes o sma cones a s e nas g y

    loosestate,becauseofelasticrebound,astheformingforceisremoved.Manualbuttonpunched

    sidelapsdostabilizepaneledgesbutcontributelittlediaphragmstrengthastheycanvarygreatly

    inshapeandeffectiveness. Thequalityofhandinstalledbuttonpunchesisdifficulttomaintain.

    Theattachmentdependsonthecareandtheenergyusedbytheinstallerandthetoolused. A

    safetyfactorofthreeisrecommended.

    Atconditionswherejoistsspanperpendiculartoandterminateatashearwall,theedge

    mostdiaphragm

    panel

    may

    not

    be

    in

    direct

    contact

    with

    the

    wall.

    At

    these

    conditions

    the

    requiredperimeterdiaphragmconnectionscanbeaccomplishedbyinstallingablockspacer

    orcollectoralongthetopofthewallbetweenthejoiststhatmatchesthedepthofthe

    bearingassembly. Acontinuousangleattacheddirectlytothetopofandperpendicularto

    thejoistmayalsobeusedaslongasthebearingassemblyofthejoistsiscapableof

    Miscellaneous:

    .

    AllowableloadtablesareavailablefromtheSDIandanumberofdifferentdeck

    manufacturers. Loadtablesaretypicallycategorizedbythemeansofconnection,thepanel

    widthandthickness,spanlengths,thefasteningpatternandthetypeoffastenerandsidelab

    connector.

    Thestiffnessofadiaphragmisadirectindicationofhowsusceptiblethedeckistodistortions

    undertheinfluenceofinplaneshearforces. Theneedtoknowthemagnitudeofmovement

    isparticularlyimportantwhenassessingthetransferofforces,throughadiaphragm,

    betweenadjacentframesorshearwalls. Inaddition,thehorizontaldeflectionofthe

    diaphragmcanhaveanimpactontheswayofexteriorcladdingmembers,suchasprecastor

    tiltuppanels,inadditionaltothelocalizedflexuraldeflectionofthesameasaresultofwind

    loadsperpendicular

    to

    the

    span

    of

    the

    diaphragm.

    Steeldeckdiaphragmsmaybereinforcedwithoverlaymentssuchas insulatingconcrete,

    structuralconcrete,orbydirectlyattachingflatpanelssuchasplywoodtoproduceaflat

    surface. Thesupplementalmaterialprovidesadditionalpathsthroughwhichshearforces

    maytraversethediaphragm.

    Itisalsopossibletoinstallhorizontaldiagonalsteelbracingorstrapsbeneaththedeckin

    ordertosupplementorsupplanttheshearcapacityofthedeck.

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    D.MatthewStuart 12

    Thefollowingdesignexampleisforasimpleonestoryrectangularbuildingexposedtoatotalwindwardandleewardpressureof35PSF. Itshouldbenotedthatinthisexamplethewindwardandleeward

    pressurereactions

    at

    the

    top

    of

    the

    cladding

    and

    along

    the

    edge

    of

    the

    diaphragm

    are

    shown

    as

    acombinedlineloadof245PLF.

    Asindicatedintheexample,thediaphragmreactionof16.54kipsisdividedbythelengthoftheendwalltoarriveattheunitcollectordiaphragmshearforceof367.5PLF. Atthesametimeashear

    DesignExample

    fastenerzonesasrequiredtosatisfythevaryingmagnitudesofplanarshearresistance resultingfromtheimposedloads.

    AnAllowableDiaphragmShearStrengthTable(availablefrommostoftheroofdeckmanufacturesaswellastheSDI)isthenreferredtoinordertoassessthemostappropriatefastenerspacingfortheappliedloads.Inthisexample,36inchwide,1inch,TypeB,22Gagemetalroofdeckusing5/8inchpuddleweldsand#10TEKscrewsidelapfastenershavebeenpreselectedasthetypeofdeckandfastenerstobeused.ItshouldbenotedthatthecapacitiesintheShearStrengthTablealreadyincludea1/3increaseforwind.

    Forajoistspacingof6feetandapreselectedweldpatternof4uniformlyspacedpuddleweldsacrossthe36inchwidepanel,ashearcapacityof374PLFcanbeobtainedusing8uniformlyspacedsidelapscrewsalongthe6feetspanofthedeck.Thisvalueisgreaterthanthe367.5PLFendshearreactioncalculatedintheexample.

    Nextatanarbitrarylocationapproximatelyofthediaphragmspanfromtheendsupportwallisanalyzedinordertoallowforareductioninthenumberoffastenersoverthemiddlehalfoftheroof.Theequivalentuniformshearloadatthislocationonthediaphragmis193PLF.ReferringagaintotheAllowableShearStrengthTableindicatesthatusingaweldpatternof3uniformlyspacedpuddleweldsacrossthe36inchwidepanel,ashearcapacityof193PLFcanbeobtainedusing2uniformlyspacedsidelapscrewsalongthe6feetspanofthedeck.

    Detailingoftheconnectionofthemetalroofdecktotheendshearwallsisnotcoveredinthisexample,howevertypicallyacontinuousembeddedsteelplateinthetopofthewallwouldbeprovidedinorderforthedecktobesecuredtothetopofthewall.

    Shearinthedeckdiaphragmisalsocheckedforwindloadsagainsttheshortsideofthebuildinginwhichthediaphragmonlyhastospan45feetbetweenthe135feetlongCMUshearwalls.Thecalculatedmaximumunitcollectordiaphragmshearforceof41PLFislessthantheminimum193PLFshearcapacityofthedeckintheotherorthogonaldirection,thereforethefastenerpatterndevelopedinthefirstpartoftheexampleisadequateforwindloadsintheoppositedirection.However,asthe

    joistbearingassemblyseparatesthetopedgeofthedeckfromtheCMUshearwallitisnecessaryforthecollectorforcetobetransmittedfromthediaphragmtothetopofthewallthroughthejoistbearingassemblies.Amaximumrolloverforceof246poundsiscalculated ateachjoist,whichislessthanthetypicalindustrystandardjoistbearingassemblycapacityof1,650pounds,thereforenocollectorblockisrequiredbetweeneachjoisttotransfertheshearforcestothetopofthewall.

    Inorderforthediaphragmtofunctionproperly,inadditiontoananalysisoftheplanarshearforces,itisnecessarytoprovidechordmembersalongtheextremeedgesofthedecktoprovideresistancetotheextremeflexuraltensionandcompressioncomponentsofthedeepbeamdiaphragmanalogy. Forthisexamplethemaximumchordforceiscalculatedasfollows:

    Mmax=((245PLF)*(135FT)2)/8=558.14KipFeet;ChordForce=558.14KF/45FT=12.4Kips

    Assumingthat

    compression

    controls,

    the

    maximum

    allowable

    compressive

    stress

    of

    10.14

    ksi

    is

    calculatedfora36ksi,continuousL3x3xbracedat6feetoncenterwereitisconnectedtothetopofthejoistbearingassemblies.Theactualcalculated compressivestressof8.61ksiintheL3x3islessthantheallowable.Itisimportanttounderstandthatthischordmembermustbeprovidedalongboth135feetlongedgesofthedeckwithbuttweldsprovidedatalljointsoftheL3x3.Thechordmemberforwindforcesintheoppositedirectionisprovidedbythecontinuousembeddedsteelplatelocatedinthetopofthe45feetlongendshearwallsasdescribedinthepreviousslide.

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    Source:SDI

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    Thefollowingareillustrationsofroofdeckattachmentdiagramsandschedulesfromanexample

    project.Thisinformationshouldbeprovidedonallprojectsinordertoprovideclearinstructions

    tothedeckinstallerconcerningtherequiredfastenertype,spacingandextent.