bending design.pdf

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    CMBUk - III karKNnabegkarkMNt;EdksMrab;Fw

    GnuelamtambTdan ACI 318-M08

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    2

    1-muxkat;ctuekaNbMBak;Edkma eyIgdwgehIyfa

    2' 1 0.59n c M f bd

    2n n M bd k

    eyIgeXIjfa sMrab;m:Um:g;mYy nig ebtugsal; Edksal; eyIgenAmGBaatibIKW kMras;Fwm kMBs;RbsiTPaB nigPaKryEdb d

    ' 1 0.59n ck f

    ' y

    c

    f

    f ; s

    Abd

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    1>1 krNITI1 krNIkMnt;muxkat;TUeTA

    eyIgGacsntyk BItaragxageRkam. rYc RtUv)anKNna.bnab;mkeyIg KNna edaysntyk

    rW .

    s u R

    d b, 3/1 bd

    0.01 CMerIssnSMsMc

    CMerIslsMrab;PaBsVit 0.015 srsEdkENnBi)aktMerob

    6.03.0/ d b

    max75.05.0

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    ]TahrN_krNITI1

    cUrKNnavimaRtF wm nigbrimaNEdkrbs;Fwmbgajk grUbTI 3hb,

    edaydwgfa

    6m

    LL=10kN/m

    DL=21kN/m

    b ?

    h ?

    f c=25MPa

    f y=400MPa

    rUbTI 3>1 FwmTMrsamBa

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    5

    CMhannkarKNna

    1-KNnam:Um:g;dac;xat M

    u= M

    n

    2-kMnt;PaKryEdkedayEpkelIlkxNPaBsVitrbs;Fwm

    3-KNnakkam:Um:g;4-KNna bd 2

    5-KNna b rW d edasntyk6-KNnaA s rYcep gpat;

    7-KNna

    31 bd

    l

    h

    2

    ; u

    n

    M

    bd k

    ' 1 0.59

    n ck f

    10.375TCL

    t t

    aad d

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    1>2 krNITI2 krNIminsal;brimaNEdk ebIeyIgsal; brimaNEdkcaM)ac;GacKNnatamd b,

    2'7.14

    11'85.0

    bd f M

    f f

    c

    u

    y

    c

    eBlEdl RtUvsal; eyIgKYEtepgpat;ebIEdksgt;caM)ac; rWminc)ac;

    muneFVIkarKNnamuxkat;Edk.

    d b,

    1- kMNt;rkPaKryEdk

    n u M M 4-ep gpat;fa

    2

    40.85 1 1

    1.7 'u

    c

    M f bd

    s A bd 2-brimaNEdkcaM)ac;sMxkat;

    3-rkemKuNkat;bnyP GaRsynwg

    ccd t

    ut

    65.0,9.0,325045.1

    minmax t

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    1>3 krNITI3 krNIsal;vimaRtFwmEtmYy ebIeyIgsal; eyIgRtUvKNnab,

    u

    n

    M d

    k b

    bd A s

    ' 1 0.59n ck f

    ehIy

    mmd h 65

    sMKal; kMBs;h GacykCadMbUges Inwg

    mmd h 90 sMrab;EdkbeNaymYyCYr sMrab;EdkbeNayBIrCYr 25)1(65 r nd h sMrab;EdkbeNayBIr rWeRcInCYn r

    CacMnYnCYrQrnEdkbeNay

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    2- KMlatnbNajEdknigkMras;RsT2>1 tMrUvkartambTd anedIm,IeGaykareFVIkarrbs;EdkCamYyebtug)anl eyIgRtUverobcMedkdU

    KMlatEdkedk kMras;RsTab;karBarGb,brimasMrab;FwmKW38mm nigsMrab;kMralKW20mm

    )25;max( mm D s bar nigKMlatbBarEdk mm s 25

    h1

    d1

    b 1

    D s D s D

    cc

    D s

    h1

    d1

    b 1

    D s D

    c

    c

    D s

    DsD

    rUbTI 3>2-1 KMlatEdkGb,brima

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    9rUbTI 3>2-2 KMlatEdkGb,brima

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    10rUbTI 3>3 KMlatEdkGb,brima RsbtambTdanACI

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    11rUbTI 3>4 KMlatEdkGb,brimaTaMgCYrEdk nigCYrQ

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    12

    rUbTI 3>5 kartMerobEdk Edlman2CYredk

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    13

    2>2 TTwgGb,brmarbs;muxkat;

    CaTUeTATTwgGb,brmarbs;F wm GacKNna)antamrUbmcteTA

    KMlatEdk

    TTwgGb,rma

    ebIeyIgyk

    c D snnDb s 22)1(min

    Ggt;pitEdkbeNay Ggt;pitEdkTTwgEdkkg

    b min

    D

    D s

    s

    mm snnDb 96)1(min

    D s=10 mm, c = 38 mm

    eyIg)an

    n cMnYnCYrQnEdkc kMras;RsTab;kar

    )()(2min

    s Dc D sb

    n s

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    2>3 kBs;Gb,brmarbs;muxkat;kMBs; rWCMerARbsiTPaB KWCacMgayBI

    EKmsgt;eTATIRbCuMTMgn;rbs;EdkTaj.kMBs;srubGtibrima GacKNnatam

    rUbmndUcxageRkam

    kMBs;RbsiT iPaBrbs;muxkat;F wm

    c D D

    d h s 211

    Ggt;pitr)abeNay Ggt;pitr)aTTwg

    d1

    D

    D s

    c b kMras;RsTab;karBa

    h1d1

    b 1

    c b

    c b

    D s

    DsD

    D s D

    c cMgayBITIRbCu MTMgn;EdkeTA)atFwm nig

    rUbTI 3>6 kMBs;FwmGb,b

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    kMBs;srubGtibrimarbs;muxkat; eBleRbIEdkeRcInRsTab;GacKNnatamrUbmndUcxageRkam

    nhr cMnYnCYredk nvr cMnYnCYrQ n blr cMnYnEdkkgCYredkcugeRkay

    t

    blr hr

    vr

    hr sb

    n

    nn

    nn D s

    D Dcc 2

    )2(

    )1)((2

    2

    )1)((

    2

    hr sb

    n D s D Dcc

    sMrab;bNajEdk EdlCYrcugeRkaymancMnYnEdkticCagkgCYrepSgeTo

    sMrab;bNajEdk EdlCYrnImYymancMnYnEdkesIKa

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    TTwgGb,brmarbs;F wm

    KMlatCYrEdkQ

    c D sn Dnb svr vr vr

    22)1(min

    )1(

    )(2

    vr

    svr wvr

    n

    c D Dnb s

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    3- lMhat;]TahrN_

    1-kMnt;muxkat;ctuekaNEdlrgm:Um:g;dac;xat edayeRbIPaKryEdkGtib,rma nigdwgfa

    mmb s 356%;1

    kNm560 MPa f MPa f yc 400;21'

    2-kMnt;muxkat;ctuekaNEdlrgm:Um:g;dac;xat edayeRbIPaKryEdknigdwgfa

    kNm560

    MPa f MPa f yc 400;21'

    mmd mmb 710,250 3- KNnamuxkat;EdkcaM)ac;sMrab; ;muxkat;ctuekaNEdlrgm:Um:g;dac;xatedayeRbIPaKryEdknigdwgfa

    kNm333

    MPa f MPa f yc 400;27'

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    4- muxkat;bMBak;EdkDubEdkTat;

    sMrab;muxkat;bMBak;Edkmag m:Um:g;lTPaBRTRTg;GtibrmaekItmanenAeBlEdlPaKryEdkGtibrma tUv)aneRbIR)as;. ebIm:Um:g;begageRkACag

    m: Um:g;lTPaBRTRTg;kg enaHmuxkat;bMBak;Edksgt; rWehAmbMBak;ERtUveRbIR)as;. lMdab;nkarKNnamuxkat;bMBak;Edksgt;nwgbgaj dUcxageReBlEdleyIgsal;tMln .

    1- KNnaPaKryEdkGtib,rma

    ';;;;'; d d b f f M ycu

    CamYy

    )003.0

    003.0('85.0 1maxt y

    c

    f f

    004.0t

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    19

    eFV Ikarep gpat;rvagm:Um:g;eRkAnwgm: Um:g;lTPaBRTRTg;kgGtmax

    2

    2 uu Rbd M

    2- KNnam:Um:g;Gtib,rma

    c

    y yu f

    f f R

    '7.11 maxmaxmax

    2? uu M M

    ebI 2uu M M Edksgt;minRtUvkar mannymuxkat;Camuxkat;bMBak;Edkag

    2

    '7.1

    411

    '85.0

    bd f

    M

    f

    f

    c

    u

    y

    c

    bd A s

    eyIgGacKNnarkPaKry rYcrkbrim

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    20

    Edl

    21 uun M M M 3- KNnam:Um:g;bEnm

    bd A s max2

    ebI 2uu M M Edksgt;RtUvkar eyIgRtUveFVIkarKNnarkbrimaNEdkdU

    4- KNnaEdkTajbEnm )'(1

    1 d d f M

    A y

    u s 21 s s s

    A A A

    5- KNnakMlaMgsMBaFpk gEdksgt;

    b f

    f Aa

    c

    y s

    '85.02

    1 ac

    y

    s s f d c

    c

    E f ),'(

    003.0min'

    6- KNnamuxkat;Edksgt;)'('

    'd d f

    M A

    s

    u s

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    4>1 ]TahrN_

    1- FwmmYymanTTwg nigkMBs; ehIyRtUvTb;m: Um:gKNnabrimaNEdk edaydwgfa

    cm25

    MPa f MPa f yc 400;25'

    2- kMnt;muxkat;EdkcaM)ac;rbs;muxkat;Edlrgm:Um:g;dac;xatedaydwgfa

    kNm448

    MPa f MPa f yc 400;27'

    mmhmmb 510,300

    cmh 55

    kNm357

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    5- muxkat;ragGkSret

    sMrab;RbBn kMral;-Fwm vimaRtrbs;kMral nigKMlat rWTItaMgFwmRtUerobcMCadMbUg. bnab;mk eyIgRtUvKNnamuxkat;Fwm rYmmankarKvimaRttYF wm nigkarKNnabNajEdk. kgkarKNnamuxkat;RcMeBaHm: Um:g;dac;xat / kMras;kMral; nigTTwgsamFwm GacKNTTwgtYFwmGacsntykBI . dUecH eyIgGacKNnaF wmGkS

    edaydwgfa . ycu f f M ;';

    u M

    cm5020

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    5>1 eBlkMras; d s al;

    k- ep gpat;famuxkat;eFVIkardUcctuekaN rWCamuxkat;GkSret edaysnt;rYcKNnam:Um:g;lTPaBRTRTg;rbs;sabTaMgmUl.

    ebI enaH eyIgniyayfamuxkat;GkSet.ebI enaH dUecH muxkat;eFVIkardUcmuxkat;ctuekax- ebI

    f ha

    2

    )'85.0()( f f cnf h

    d hb f flange M

    nf u M M f ha

    nf u M M f ha

    f ha karKNnaeFV IdUcxageRkam

    2

    '7.1

    411

    '85.0

    bd f

    M

    f

    f

    c

    u

    y

    c

    bdA

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    K-ebI

    m:Um:g;Tb;edaytYFwmKW

    y

    f wc sf f

    hbb f A )('85.0

    21 nun M M M

    f ha karKNnaeFV IdUcxageRkam

    21

    '7.14

    11'85.0

    d b f M

    f f

    wc

    n

    y

    cw

    d b A ww sw

    22 f

    y sf n

    hd f A M

    KNnabrimaNEdksrub sw sf s A A A

    bd A s

    epgpat;faweb f w max,75.0

    min d b A

    w

    sw

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    5>2 eBlmins al;kMBs; nigbrimaNEdkd, A sk- snt;yk

    K- eyIgGacerIsyktMld Edl)anKNna rWyktMld NamYyepSgeTehIyeyIgEtRtUveFV IkarKNnamuxkat;EdkeLIgvij.

    f ha

    y

    f chf sf f

    bh f A

    '85.0,

    2, f

    yhf sf uhd f A M

    d x- KNna BIsmIkarxageRkam

    kgRKb;krNI brimaNEdkcaM)ac;minRtUvticCagbrimaNEdkGb

    EdkGb,brma KNnatamrUbmn

    y

    c

    y f

    f

    f 4

    ';

    4.1maxmin

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    5>4 lMhat;]TahrN_1- manF wmGkSretmYydUcbgajkgrUbTI 3>7. cUrKNnamuxkat;Egfam:Um:g;dac;xatKW .EdleRbIsMParH

    kNm M u 430

    MPa f MPa f yc 400,25'

    100cm

    37cm46cm

    25cm

    10cm

    rUbTI 3>7 muxkat;FwmGkSre

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    2- RbBnkMral-F wmmYydUcbgajk grUbTI 3>8. cUrKNnamuxkEdk

    sMrab;F wm edaydwgfam:Um:g;eRkAdac;xat .eRbIsMParH

    kNm M u 700

    MPa f MPa f yc 400,21'

    30cm

    137cm

    275cm 275cm

    10cm

    h=60cm

    d= 44.5cm

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    3- KNnamuxkat;FwmetmYyedIm,ITb;nwgm: Um:g;dac;xat kNm M u 1100 MPa f MPa f yc 410,21'

    4-sMrab;Fwmcak;eRscmuxkat;GuImYydUcbgajk grUb.cUrKNnamuxkat;Edkedaydwgfa

    122 cm

    d ?

    30 cm

    10 cm

    kNm M u 489

    MPa f MPa f yc 410,27'

    edaydwgfa

    10 cm

    36 cm

    25 cm 6 cm

    A s ?

    13 cm

    15 cm

    41 cm

    A s ?

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    5-F wmmYymanTMrbn M dUck grUbRTbnkefr bEnmelIbnkGefrGCIvkm/ ehIyF wmrgkMlaMgefrcMnuc nigGefr Rtg;cMnucC BIA RbEvg .

    MPa f MPa f yc 410,27'

    5-k- KNnam:Um:g;dac;xatGtib,rmanigTItaMgrbs;va5-x- KNnamuxkat;ctuekaNedIm,IRTbn kedayeRbI EdkPaKrynigTTwgFwm cmb 50

    edaydwgfa

    mkN /35 mkN /22

    kN 53 kN 36 m3

    %2 s

    d ?

    9 cm50 cm

    A s ?

    PL=36 kN

    PD=53 kN

    300 cm 600 cm

    w L=22 kN/m

    w D=35 kN/m

    A C B

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    6- KNnabrimaNEdksMrab;FwmmYyEdlRTm: Um:g;dac;xat

    mmhmmb 600,300

    edaydwgfa

    mkN M u /696

    MPa f MPa f yc 400,30'

    600 mm

    300 mm

    A s ?