strut and tie deep beam solution to aci si units

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    StrutandTieModelofadeepbeam

    01SaturdayDec2012

    PostedbyNanGaoinCaseStudies

    5Comments

    Tags

    concretestructure,geometricmethod,SAP2000,StrutandTie,truss

    AsIdiscussedinthisblogarticleStrutandtieAtoZ,STMisausefulmethodintheanalysisoftheDregionsinconcretestructures.Todayscasestudyis

    usingSTMtodesignadeepbeam.ThiscaseisfromProf.JamesK.WightspaperStrutandtiemodelfordeepbeamdesign.Firstofall,IrepeatedtheSTM

    modelofProf.Wight,butconvertedalltheEnglishunitsintometricunits.Itisapracticeforme.Secondly,IchooseadifferentSTMmodelandtrytofigure

    aboutwhetherthissimplertriangleSTMmodelcouldwork.Thirdly,Iusedtraditionalbeamtheorytodesignthisdeepbeamandcomparedtheresultwith

    theSTM

    models.

    The

    calculation

    is

    based

    on

    Chinese

    code

    GB

    50010

    2010.

    Finally,

    Iused

    SAP2000

    to

    analyze

    the

    same

    deep

    beam

    and

    made

    acomparisonwithresultsofSTM.

    1.REPEATPROF.WIGHTSSTMMODELINMETRICUNITS

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    2.TRYANOTHERVERSIONOFSTMMODEL

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    ComparedwithformerSTMmodel,thelongitudinalreinforcementisabitlarger,buttheverticalreinforcementinthismodelismuchsmall.However,there

    aresomeissues.Theinclinedangleisverysmallandisveryneartothelowerlimit.Consideringthedecreaseintheamountofreinforcementandthe

    smallerinclinedangle,maybeabettersolutionistomaketheheightofthebeamalittlehigher.Thus,theanglecouldbeabitbiggerandtheamountof

    reinforcementwillnotincreasesignificantly.

    3.DESIGNTHESAMEDEEPBEAMFOLLOWINGCHINESEGB500102010

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    Compared

    with

    STM

    models,

    the

    longitudinal

    reinforcement

    is

    similar.

    However,

    the

    required

    amount

    of

    vertical

    reinforcement

    is

    much

    larger.

    The

    traditional

    beam

    theory

    is

    much

    more

    conservative

    in

    the

    shear

    design

    of

    STM

    models.

    4.ANALYZETHESAMEDEEPBEAMWITHSAP2000

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    Therequiredamountoflongitudinalreinforcementintheleftpartislargerthantherightpart.OnlythefirstSTMmodelreflectsthischaracteristic.The

    secondSTMmodelandthecalculationbasedonGB500102010hasthesamerequiredamountofreinforcementinthewholespan.Thus,Prof.Wights

    STMmodelismorerational.

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    Inthisimage,wecanseethetwozoneswhichrequiredlargeramountofverticalreinforcement.TheyarethelocationsofStrutsinSTMmodels.Also,the

    Tie34inProf.Wightsmodelisreflectedinthisimage.

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    Wecanseethetwobottleshapedconcretestrutsveryclearly.Thestressintheleftstrutislargerthantherightstrut.Thiscorrespondswiththeanalysisof

    theSTMmodel.

    References:

    Wight,J.K.,andParraMontesinos,G.Strutandtiemodelfordeepbeamdesign,ACIConcreteInternational,Vol.25,No.5,2003,pp.6370

    Wight,J.K.KeynoteDevelopmentoftheStrutandTieMethodforAppendixAoftheBuildingCode(ACI31808),2008