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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

    PacifcTech- Solutions

    Concrete Structures

    EN 1992-1-1 "CONCRETE STRUCTURES"

    Contents:

    1. General2. Basics3. Materials4. Durability and cover5. Structural analysis6. Ultimate limit state7. Serviceability limit state

    . Detailin! rein"orcement#. Detailin! o" members and $articular rules1%.&dditional rules "or $recast concrete elements and structures11.'i!(t)ei!(t a!!re!ate concrete structures12.*lain and li!(tly rein"orced concrete structures

    &nne+es,

    &. Modi-cation o" sa"ety "actor /0B. ormulas "or cree$ and s(rin a!e /0

    . *ro$erties o" rein"orcements /0D. *re stressin! steel rela+ation losses /0

    . /ndicative stren!t( classes "or durability /0. /n $lane stress condition /0

    G. Soil structure interaction /0. Global second order e ects in structures /0

    /. &nalysis o" 8at slabs and s(ear )alls /0 9. Detailin! rules "or $articular situations /0

    EC2: GENERAL RULES AND RULES FOR

    CONTAIN ENTBRIDGFIRE

    ATERIALS !RECASTE"ECUTION

    !RESTRESSING

    CONCRET REINFORCING STEEL

    CO ON RULES

    !RODUCT

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    / Informative

    : Normative

    CHAPTER 3 !ATER A#S

    Concrete Stren$th Classes

    oncrete stren!t( class ;1%

    (aracteristic cylindrical stren!t(; (ar. tube stren!t(0

    %esi$n Stren$th &alues

    Desi!n com$ressive stren!t(< " cci

    f cd = cc f ck / c

    Desi!n tensile stren!t(< " ctd

    f ctd= ct f ctk ,0.05 / c

    =cc> 1#$ and =ct> 1#$ are coe?cients to ta e account o" lon! term e ects ont(e com$ressive and tensile stren!t(s and o" un"avourable e ects resultin! "romt(e )ay t(e load is a$$lied national choice 0

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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

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    Concrete Stren$th at ti'e t

    +$ressions are !iven "or t(e estimation o" stren!t(s at times ot(er t(an 2 days "orvarious ty$es o" cement

    f cm(t )= cc(t )f cm

    )(ere,

    f cm (t) is t(e mean com$ressive stren!t( at an a!e o" t days

    cc (t )= exp {s[1 (28 /t )1/2]}

    Elastic %e(or'ation

    @alues !iven in 2 are indicative and vary accordin! to ty$e o" a!!re!ate cm t0> " cm t0;" cm 0%.3 cm Aan!ent modulus c may be ta en as 1.%5 cm *oissons ratio, %.2 "or uncrac ed concrete< % "or crac ed concrete 'inear coe?cient o" e+$ansion 1%.1% 6 1

    %esi$n )ith Strut an* Tie !o*elsStrut and Aie Model General /dea

    Structures can be subdivided into re!ions )it( a steady state o" stresses B re!ions)(ere CBC stand "or CBernouliC0 and in re!ions )it( a non linear 8o) o" stresses CDC

    re!ions )(ere CDC stands "or discontinuity0

    A(e coe?cient s de$ends on t(e ty$e o" cement, s> %.2% "or ra$id (ardenin!cement lass 0< s> %.25 "or normal (ardenin! lass :0 and s> %.3 "or class S

    slo) (ardenin cement.

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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

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    %- re$ion Stress tra+ectories an* strut an* tie 'o*el

    Ste$s in desi!n,

    1. De-ne !eometry o" D re!ion 'en!t( o" D re!ion is eEual to ma+imum )idt(o" s$read0

    2. S etc( stress traFectories3. rient strut to com$ression traFectories4. ind eEuilibrium model by addin! tensile ties5. alculate tie "orces6. alculate cross section o" ties7. Detail rein"orcement

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    Determination of Strut & Tie Geometry

    Exam le! of D" #e$ion! in !tructure!

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    %esi$n o( no*es

    Co%&ression no'es (it)o*t tie:

    Rd ,max = k 1 ' f cd

    %here

    ' = 0.60 (1 f ck 250 )recommended value,

    1>1.%

    Co%&ression- Co%&ression- Tension +CCT, no'es :

    Rd ,max = k 2 ' f cd

    %here

    ' = 0.60 (1 f ck 250 )recommended value,

    1>%. 5

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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

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    Co%&ression- Tension- Tension +CTT, no'es :

    Rd ,max = k 3 ' f cd

    %here

    ' = 0.60 (1 f ck 250 )recommended value,

    1>%.75

    Crac, )i*th control in concrete structures

    Theor o( crac, )i*th control

    H(en more crac s occur< more disturbed re!ions are "ound in t(e concrete tensilebar. /n t(e : I relation t(is sta!e t(e C rac "ormation sta!eC0 is c(aracteriJed by aJi!Ja! line :r

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    or t(e calculation o" t(e ma+imum or c(aracteristic0 crac )idt(< t(e di erencebet)een steel and concrete de"ormation (as to be calculated "or t(e lar!est cracdistance< )(ic( is s r %. 02 t #So

    w k = sr ,max (sm cm)

    )(ere,

    S %3o De4nition

    s r

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    is t(e bar diameter1 bond "actor %< "or (i!( bond

    bars< 1

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    P / de8ection "ully crac edP // de8ection uncrac ed

    Q coe?cient "or tension sti enin!transition coe?cient0

    Ksr steel stress at -rst crac in!Ks

    steel stress at Euasi $ermanentservice load

    R 1

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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

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    lon!itudinal rein"orcement ratio. A(ese values are calculated "or concrete 3% andKs> 31%M*a and satis"y t(e de8ection limits !iven in 7.4.1 40 and 50.

    Str*ct*r. S ste% 7 8 0 $ 8 0 1Sim$ly su$$orted slab;

    beam 1 14 /;d > 2%nd s$an 1 1 /;d > 26

    /nterior s$an 1 2% /;d > 3%

    lat slab 1 17 /;d > 24

    antilever % 6 /;d >

    Punchin$ shear resistance

    li e in t(e case o" s(ear 'H& 'i!(t)ei!(t a!!re!ate concrete0 members< also t(e$unc(in! s(ear resistance o" 'H& slab is obtained usin! t(e reduction "actorW1>%.4X%.6L;22%%. A(e $unc(in! s(ear resistance o" a li!(t )ei!(t concrete slab"ollo)s "rom,

    V Rd ,c = (C Rd,ck ! 1 (100 f ck )1 / 3 +0.08 cp) ! 1 m"#+0.08 cp

    )(ere,

    / d%.15;! c

    Si'0life* *esi$n 'etho* (or )alls an* colu'ns

    /n t(e absence o" a more ri!orous a$$roac(< t(e desi!n resistance in terms o" a+ial"orce slender )all or column in $lain concrete maybe calculated as "ollo)s,

    $ Rd= %&w & f cd &

    )(ere,

    = 1.14 (1 2 et(t / w) 0.02 0 / w ) (1 2 et(t / w)

    S %3o De4nition

    : d a+ial resistance

    b overall )idt( o" t(e cross section

    ( ) overall de$t( o" t(e cross section

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    DS/EN 1992- ConcreteNeil Bryan A. Duldulao

    is a "actor ta in! into accounteccentricity< includin! second ordere ects