បេតុងពង្រឹងដោយដែក 8 viii-shear-and-diagonal-tension

8/11/2019 8 viii-shear-and-diagonal-tension

1/48

T.Chhay NPIC

kMlaMgkat;TTwg nigkMlaMgTajGgt;RTUg 125

VIII. kMlaMgkat;TTwg nigkMlaMgTajGgt;RTUgShear and Diagonal Tension

1>

esckIepImenAeBlEdlFwmTMrsamBargnUvbnk m:Um:g;Bt; nigkMlaMgkat;TTwgnwgekIteLIgelIRbEvgFwm. edIm,IRT

nUvbnkenHedaysuvtiPaB FwmRtUv)aneFVIkarKNnaeLIgedIm,ITb;nwgkMlaMgTaMgBIrRbePTenH. karKNnasMrab;karBt;RtUv)aneFVIeLIgdMbUgeK edIm,IkMNt;muxkat;Fwm nigEdkemcaM)ac;dUcEdl)anENnaMBIemeronmun.

bnab;mkFwmRtUv)anKNnaedIm,ITb;nwgkMlaMgkat;TTwg. kgkrNIEdlEdkkgminRtUv)andak; enaHFwmnwg)ak;edaykMlaMgkat;TTwg. kar)ak;edaykMlaMgkat;TTwg ekIteLIgedaymanPaBdabtUc nig)at;bg;nUv

lkNyWt ehIymin)anRbkasGasnenAmuneBl)ak;eT. sMrab;kar)ak;edaykarBt;begag ekIteLIgedaykarekIneLIgnUvPaBdabbnicmg nigmansameRbH dUcenHvamankarpl;sBaaRbkasGasnmuneBl)ak;cugeRkay. karKNnasMrab;kMlaMgkat;TTwg RtUv)aneFVIeLIgedIm,IFananUvkar)ak;edaykMlaMgkat;TTwgekIteLIgeRkaykar)ak;edaykarBt;begag.

2>kugRtaMgkMlaMgkat;enAkgFwmebtugGarem:

rUbmnTUeTAsMrab;kugRtaMgkMlaMgkat;TTwgenAFwmrUbFatusac;mYy (homogenous beam) karBRgaykugRtaMg

Ib

VQ= *>!

EdlV

- kMlaMgkat;srubenAmuxkat;EdlRtUvsikSaQ - m:Um:g;saTiceFobGkSNWtnmuxkat;EdlxNedaybnat;EdlRtUvsikSakugRtaMgkMlaMgkat;


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Department of Civil Engineering viTasanCatiBhubeckeTskm2.kugRtaMgm:Um:g;Bt;

I

Mcf =

Edl kugRtaMgkMlaMgkat;enARKb;cMnucTaMgGs;RtUv)anKNnatamrUbmnkugRtaMgkMlaMgkat;

Ib

VQ=

kugRtaMgkMlaMgkat;GtibrmasitenAelIGkSNWt nigmantMlesIav5.1 kMlaMgkat;TTwgmFm

Edlbh

Va = . ExSekagkMlaMgkat;TTwgmanrag):ar:abUl.

sMrab;FwmebtugssEdkrgkarTaj (singly reinforced concrete beam) karBRgaykugRtaMgkMlaMgkat;TTwgenAelIGkSNWtmanrag):ar:abUl. enAeRkamGkSNWt kugRtaMgkMlaMgkat;TTwgGtibrmamantMl

efr ehIy)anrkSatMlenHRtwmnIv:UEdkrgkarTaj BIeRBaHvaK

ankarpas;brkMlaMgTajBIcMnucGkSNWtehIym:ageTotkMlaMgTajkgebtugRtUv)anecal. kugRtaMgkMlaMgkat;TTwgmantMlesIsUn enAeRkamnIv:UEdk rUbTI8>3.

sMrab;ebtugssrEdkEdlmanEdkrgkarsgt;nigmuxkat;GkSret karBRgaykugRtaMgkMlaMgkat;TTwgRtUv)anbgajkgrUbTI8>3. eyIgsegteXIjfa kMlaMgkat;TTwgesIrEtTaMgGs;RtUv)anTb;edayRTnugEdlsabTb;nwgPaKrytUcbMput. sMrab;karGnuvtn_esIrTaMgGs; eKecalnUvlTPaBTb;kMlaMgkat;TTwgrbs;

sab.


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T.Chhay NPIC


eyagtamrUbTI8>1 edayykFwmmYykMNat;tUc dx mkviPaK eyIgeXIjfa m:Um:g;Bt;enAcugsgxagnkMNat; 1M nig 2M minmantMlesIKaeT. edaysar 21 MM < dUcenHedIm,IrkSalMnwgsMrab;kMNat;dx

kMlaMgsgt; 2C

RtUvmantMlFMCag 1C

rUbTI8>4. dUcenHkugRtaMgkMlaMgkat;TTwgv

ekItmanenAelImuxkat;edk 1aa b 1bb rUbTI8>4 a. kugRtaMgkMlaMgEkg (normal stresses) nigkugRtaMgkMlaMgkat;TTwg(shear stresses) enAelIGgt;tUc enAkMritnIv:U 1aa b 1bb RtUv)anbgajenAkgrUbTI8>4b. cMNaMfa kugRtaMgkM;laMgEkg (normal stresses) enAnIv:UnGkSNWtKW0 b:uEnkMlaMgkat;TTwgmantMlGtibrma. kMlaMgkat;TTwgedkesInwgkMlaMgkat;TTwgbBar dUcbgajenAkg rUbTI8>4b. enAeBlEdl kugRtaMgkMlaMgEkgmantMlesIsUn btUc enaHkrNIkMlaMgkat;TTwgsuTGacekItman. kgkrNIenH kugRtaMgTajGtibrma tf manGMeBI

tammMuo45

rUbTI8>4c

.kugRtaMgTajsmmUleTAnwgkugRtaMgem dUcbgajkgrUbTI 8>4 d. kugRtaMgemenHRtUv)aneKehAfakugRtaMgTajGgt;RTUg. enAeBlkugRtaMgTajGgt;RTUgmantMlesIersIusg;Tajrbs;ebtug sameRbHGgt;RTUgekIteLIg. karviPaKy:agsegbenHBnl;BIKMnitnkMlaMgTajGgt;RTUg nigsameRbHGgt;RTUg. kareFVICak;EsgmanlkNsKsajCag ehIyvaTTYl\TiBlBIktaepSg. sMrab;bnSMnGMeBInkMlaMgkat;TTwgnigkMlaMgEkgenAcMnucNamYyenAkgFwm kMlaMgTajGgt;RTUg (principal stresses) Gtibrma nigGb,brma pf

RtUv)aneGayedaysmIkarxageRkam


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5/48

T.Chhay NPIC


3>kareFVIkarrbs;FwmedayKanEdkkMlaMgkat;TTwg

ebtugexSaykgkarTaj ehIyFwmGac)ak;RbsinebImuxkat;EdkminRtwmRtUvRtUv)anpl;eGay. kugRtaMgTajekItmanenAkgFwmbNalmkBIkMlaMgTajtamGkSkMlaMgBt;kMlaMgkat;TTwg kMlaMgrmYl bbnSMnbnk

TaMgenH. TItaMgnsameRbHenAkgFwmebtugGaRsynwgTisedAnkugRtaMgem (principal stresses). bnSMnkugRtaMgkMlaMgEkg normal stress nigkugRtaMgkMlaMgkat;TTwg begIt)ankMlaMgTajtamGgt;RTUg (diagonaltension) GtibrmaEdlsitenARbEhlcMgay dBImuxnTMr.

kareFVIkarrbs;FwmebtugGarem:edaymanbKanEdkkMlaMgkat;TTwg RtUv)anBiesaFeRkamGMeBInkarekIneLIgnbnkdUc)anerobrab;enAkgemeronTI3. enAkgkarBiesaFn_Fwm sameRbHbBarEdlekItBIkarBt;ekIteLIgenAenAelImuxkat;Edlmanm:Um:g;Bt;Gtibrma enAeBlEdlkugRtaMgTajenAkgebtugelIsBIm:UDuldac;

(module of rupture) rbs;ebtug b cr ff '623.0= . sameRbHeRTtenAkgRTnugekItmanenAkgtMNak;kalbnab;enATItaMgEk,rTMr.

sameRbHeRTtEdlekItmanenAkgFwmEdlminTan;)aneRbHBIdMbUg CaTUeTARtUv)aneKeGayeQaHfasameRbHkMlaMgkat;RTnug (web-shear crack). RbsinebIsameRbHeRTtcab;epImenABIelIsameRbHEdlekItBIkarBt;EdlmanRsab;ehIyrIksayenAkgFwm enaHsameRbHRtUv)aneKeGayeQaHfa sameRbHkMlaMgkat;rgkarBt;(flexural-shear crack)rUbTI8>5. sameRbH web-shear crack ekItmanenAkgFwmEdlmankMlaMgkat;

FMnigm:Um:g;Bt;tUcenAkgRTnugesIg. vaCasameRbHminFm

taehIyGacekItmanenAEk,rcMnucrbt;nFwmCab; bEk,rTMrnFwmsamBa.

sameRbH flexural-shear crackCaRbePTsameRbHFmtaEdleKGaceXIjmanenAelIFwm. dMbUgsameRbH flexural crackekItmanbBarenAelIFwm bnab;mksameRbHeRTtcab;epImekItmanBIelIkMBUlnsameRbHflexural crackenAeBlEdlkugRtaMgkMlaMgkat;TTwgekItmanenAkgtMbn;enaH. enAkugtMbn;EdlmankugRtaMgkMlaMgkat;TTwgFM FwmRtUvEtBRgwgedayEdkkg stirrupbEdkBt;(bent bar)edIm,IeFVIeGayFwmmanlkNsVit(ductile)Edlmin)ak;bdac;. edIm,IeCosvagkar)ak;edaykMlaMgkat;munkar)ak;edaykarBt;emKuNsuvtiPaBFMRtUv)anpl;eGayedIm,ITb;nwgkar)ak;edaykMlaMgkat;TTwg. ACI CodekMNt;emKuNkat;bnyersIusg;

75.0= sMrab;kMlaMgkat;TTwg.ersIusg;kMlaMgkat;TTwgenAkgGgt;ebtugGarem:RtUv)anekIteLIgedaybnSMnkMlaMgemkanicxageRkam

rUbTI8>5- ersIusg;kMlaMgkat;TTwgnebtugminTan;eRbH zV

-

kareprkMlaMgkat;TTwgrvagGnrp(interface shear transfer) aV EdlbNalmkBIkarbgaMKarvagfbMEbktambeNaypdKRKatrbs;sameRbH


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Department of Civil Engineering viTasanCatiBhubeckeTskm1.kMlaMgkat;TTwg nigm:Um:g;mantMlFMenAEk,rTMrkNalsMrab;FwmCab;. enATItaMgEdlkMlaMgkat;TTwgFM nigm:Um:g;Bt;tUc enaHvanwgmankareRbHedaykarBt;tictYc ehIykugRtaMgmFm bdVv /= . kugRtaMgkMlaMgTajtamGgt;RTUgCakugRtaMgEdleRTtedaymMuRbEhl o45 rUbTI8>4 c. sameRbHGgt;RTUgGacrMBwgfanwgekItmanenAeBlEdlkugRtaMgkM;laMgTajGgt;RTUgEdlsitenAEk,rtMbn;GkSNWtxiteTACit belIsersIusg;kMlaMgTaj

rbs;ebtug. CaTUeTA ersIusg;kMlaMgkat;TTwgcugeRkay(ultimate shear strength)

ERbRbYlcenaHBIcf'29.0 nig cf'42.0 . eRkayBIkarBiesaFn_eTAelIFwmCaeRcInGMBIkMlaMgkat;TTwg nigkMlaMgTajtam

Ggt;RTUg eK)anrkeXIjfaenAkgtMbn;EdlmankMlaMgkat;TTwgFM nigm:Um:g;Bt;tUc enaHsameRbHkMlaMgTajGgt;RTUgRtUv)anbegIteLIgenAeBlkMlaMgkat;TTwgmFm

dbfV wccr '29.0= *>#Edl wb CaTTwgRTnugmuxkat;GkSret bTTwgmuxkat;ctuekaN

d

CakMBs;RbsiTPaBrbs;FwmenATItaMgEdlkMlaMgkat;TTwg nigm:Um:g;Bt;mantMlFM enaHsameRbHedaykarBt;(flexural crack)RtUv)anekIteLIgdMbUg. enAdMNak;kalTImYy sameRbHxHBt;kgTisedAGgt;RTUgenAeBlEdlkugRtaMgkMlaMgTajGgt;RTUg EdlsitenABIcugxagelInsameRbHTaMgenaHFMCagkugRtaMgkMlaMgTajrbs;ebtug.RbsinebIeKeGaym:Um:g;FMmanGMeBIelIFwm sMrab;muxkat;EdlmanbrimaNEdkRKb;RKan;enaHkMlaMg nominalshear forceenAeBlEdlsameRbHekItmanRtUv)aneGaydUcxageRkam

dbfVwccr

'16.0=

*>$


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T.Chhay NPIC


tMlenHKWtUcCagtMlEdleGayedaysmIkar *># eRcInCaBak;kNalenAeBlEdlm:Um:g;Bt;man

tMltUcNas;. enHmannyfam:Um:g;Bt;FMkat;bnytMlrbs;kugRtaMgkM;laMgkat;TTwgenAeBlEdlsameRbHekIteLIg. smIkarxageRkamRtUv)anesIeLIgedIm,ITsSn_TaynUvkugRtaMg nominal shear stressenAeBlEdlsamGgt;RTUgRtUv)anrMBwgfaekItman

cu

uwc

wcr f

M

dVf

db

Vv '29.02.17'16.0

+== *>%

ACI Code, Section 11.3.2 )anyksmIkarenHsMrab;KNnakMlaMg nominal ultimate shear force

EdlTb;edayebtugdbfdb

M

dVfV wcw

u

uwcc '29.0)2.17'16.0( += *>^

Edl dbA wsw /= / dCakMBs;RbsiTPaBrbs;muxkat;Fwm/ wb CaTTwgRTnugsMrab;muxkat;GkSretbTTwgnmuxkat;ctuekaN uV nig uM CakMlaMgkat;TTwgcugeRkay (ultimate shearing force)nigm:Um:g;Bt;cugeRkay (ultimate bending moment)EdlekIteLIgkgeBldMNalKaenAelImuxkat;sikSa.

tMln uu MdV / minRtUvFMCag 0.1 sMrab;smIkar *>^. RbsinebI uM mantMlFMenAkgsmIkar

*>^ enaHtYrTIBIrnwgmantMltUcesIEtes

IsUn enaH cv xiteTArk cf'16.0 . RbsinebI uM mantMltUc


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Department of Civil Engineering viTasanCatiBhubeckeTskm&

1>

kgkrNIsMrab;kMlaMgsgt;tamGkS uN dbfdb

M

dVfV wcw

m

uwcc '29.0)2.17'16.0( += *>*

=

8

4 dhNMM uum

Edldb

A

w

sw =

=h kMBs;srubrbs;Fwm

uu MdV / GacFMCag 0.1 b:uEn cV minRtUvFMCag

g

ucwc

A

NfdbV

45.31)'29.0( += *>(

Edl gA CaRkLapTaMgGs; (gross section)KitCa 2mm m:agvijeTot cV GacRtUv)anKNnaeday

cg

uwc f

A

NdbV ')145.02( += *>!0

2>

kgkrNIsMrab;kMlaMgTajtamGkS uN

cg

uwc f

A

NdbV ')58.02( += *>!!

Edl uN mantMlGviCmansMrab;kMlaMgTajRbsinebI cV GviCman enaH cV RtUv)anykesIsUn.

5>FwmmanEdkkMlaMgkat;

EdkEdleRbIedIm,ITb;nwgkMlaMgkat;EdleKeRbIGacmaneRcInRbePTepSga. Edkkg EdleKeRbIedaydak;EkgeTAnwgEdkbeNay Edkem bRtUv)aneKdak;eRTt mMuEdl

eKniymeRbI o45 . EdkkgEdleKniymeRbImanmuxkat; 10DB nig 12DB .b. EdkBt; EdlCaEpkmYyrbs;EdkbeNayEdleKBt;eLIg enAkEngEdleKbBab; edaymMu

o30 nig o60 CaTUeTA o45 .c. bnSMrvagEdkkg nigEdkBt;d.

sMNaj;Edk CamYynwgsMNaj;EkgeTAnwgGkS


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10/48

Department of Civil Engineering viTasanCatiBhubeckeTskm%/ edayTb;Tl;nwgkarrIkFMnsameRbHeRTt (inclined crack).

-

vabegInnUvkMlaMgf%/ enAkgEdkbeNay- GMeBITb; (confining action) rbs;EdkkgeTAelIebtugGacbegInerIusg;rbs;va-

GMeBITb; (confining action) rbs;EdkkgeTAelIebtugbegInnUvsmtPaBrgVilnsnak;)asic(rotation capacity of plastic hinge) EdlekItmanenAkgeRKOgbgMindeterminate structureeRkambnkcugeRkay nigbegInRbEvgEdl yield GacekItmanenAelIva.eday nV CaersIusg;kMlaMgkat;rbs;muxkat;ebtugGarem:enaH

scn VVV += *>!@Edl cV - ersIusg;kMlaMgkat;)anBIebtug

sV - ersIusg;kMlaMgkat;)anBIEdkRbsinebI uV kMlaMgkat;Edl)anBIbnkxageRkAenaH

)( scnu VVVV += *>!#Edl

LDu VVV 6.12.1 += nig 75.0=

sV RtUv)anKNnaedaykarviPaK trussrUbTI*>&. sMrab;sameRbHo

45 nigesrInEdkkg bEdkdgErk. kMlaMgkat;bBar sV esInwgplbUkbgMkMlaMgbBarnkMlaMgTajEdlekItmanenAkgEdkeRTt

sinytvs fnAV = *>!$Edl vA -muxkat;kat;EdkkMlaMgkat;CamYyKMlat s

ytf - ersIusg;EdkkMlaMgkat;

eday 211 aaaans +=


11/48

T.Chhay NPIC


otgaaaad 45141 == BIRtIekaN 41aaa tgaaaad 241 == BIRtIekaN 21aaa

)cot1()cot45(cot +=+= ddns o

)cot1( += s

d

n eKTTYl)an )cos(sin)cot1(sin +=+=

s

dfA

s

dfAV

ytvytv

s *>!%

sMrab;krNIEdkkgbBar o90=

s

dfAV

ytv

s = bs

ytv

V

dfAs= *>!^

sMrab;krNIEdkkgbBar o45=

s

dfA

V ytv

s 4.1= b sytv

V

dfA

s 4.1= *>!&sMrab;krNIEdkdgErkEtmYy bRkumEdkenAmYykEng

sinytvs fAV = bsin

yt

sv

f

VA = *>!*

sMrab; o45=

yt

sv

f

VA 4.1= *>!(

6>

tMrUvkarrbs; ACI CodesMrab;karKNnakMlaMgkat;TTwg

1> muxkat;eRKaHfak;sMrab;karKNnaersIusg;kMlaMgkat;TTwgmFm

Critical section for nominal shear strength calculation

ACI Code, Section 11.1.3GnuBaateGayykmuxkat;eRKaHfak;sMrab;karKNnaersIusg;kMlaMgkat;mFm enAcMgay dBIpmuxnTMr. karENnaMenHQrenAelIPaBCak;EsgEdlsameRbHeRTtdMbUgeKTMngCaekIteLIgenAelIFwmRtg;cMgay dBITMrEdleRcInelcecjenAeBleFVIBiesaFn_. muxkat;eRKaHfak;enHRtUv)anGnuBaatenAkglkxNEdlRbtikm

TMrbBankMlaMgsgt;eTAkgtMbn;cug/ bnkRtUv)anGnuvtenAelIbenAEk,rkMBUlnGgt;ehIyKanbnkcMcMnucGnuvtenAcenaHpnTMr nigTItaMgnmuxkat;eRKaHfak;. bTdankkMNt;Edrfa EdkkMlaMgkat;TTwgRtUv)andak;enAcenaHpnTMr nigcMgay d.

2>muxkat;EdkGb,brmasMrab;EdkkMlaMgkat;TTwg

vtmanrbs;EdkkMlaMgkat;TTwgenAkgFwmebtugTb;Tl;nwgkarrIkraldalnsameRbHeRTt. m:agvijeTot PaBsVit (ductility)ekIneLIg ehIyva)anRbkasGasnmuneBl)ak;. RbsinebIKanEdkkMlaMgkat;TTwgenaHFwmmanlkNRsYyehIy)ak;edaymin)anR)ab;mun. dUcenH muxkat;EdkkMlaMgkat;TTwgRtUv)ankMNt;


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Department of Civil Engineering viTasanCatiBhubeckeTskm@!sMrab; MPaf c 32' < / ww bbS /17940035.0/400157max == sMrab; MPaf c 32' = / wbS /179000max= *>@@sMrab; MPaf c 35' = / wbS /171200max= sMrab; MPaf c 42' = / wbS /156250max= RbsinebIeKeRbIEdk 12DB manragGkSr UenaH

sMrab; MPaf c 32' < / wbS /258250max= sMrab; MPaf c 32' = / wbS /25750max= *>@#


13/48

T.Chhay NPIC


sMrab; MPaf c 35' = / wbS /246450max= sMrab; MPaf c 42' = / wbS /224950max= RtUvcgcaMfa maxS minRtUvFMCag mm600 b 2/d eT.

taragTI 1 pl;nUv maxS edayQrelIsmIkar *>@@ nig *>@#. KMlatcugeRkayKYrEtRtUvrMkileTArktMlEdltUc. ]TahrN_ mmS 515max= kayeTACa mmS 500max = .taragTI1> tMlrbs; cmbfAS wytv 6035.0/max == . enAeBlEdl MPafyt 400= nig MPaf c 32' <

wb )(cm 25 30 35 40 45 50 55 60 wb

maxS )(cm 10DB 60 55 50 40 35 35 30 25 wb/179400

maxS )(cm 12DB 60 60 60 60 55 50 45 40 wb/258250

3>

kMlaMgkat;TTwgGtibrmaEdlTb;edayEdkkMlaM gkat;TTwg sVedIm,IkarBarkar)ak;shear-compression failure EdlebtugGacEbkedaykugRtaMgkMlaMgkat;TTwgFM

nigkugRtaMgkMlaMgsgt;enAkgtMbn;eRKaHfak; enABIelIkMBUlnsameRbHGgt;RTUg ACI Code, Section11.5.6.8, tMrUvfa dbfV wcs '67.0 . RbsinebI dbfV wcs '67.0> enaHeKRtUvtMelIgmuxkat;ebtug.edayQrenAelIkarkMNt;enH

RbsinebI MPaf c 20' = enaH dbV ws 3 b MPadbV ws 3/

RbsinebI MPaf c 28' = enaH dbV ws 5.3 b MPadbV ws 5.3/ RbsinebI MPaf c 35' = enaH dbV ws 4 b MPadbV ws 4/ 4>KMlatEdkkgGtibrma

edIm,IFanafasameRbHGgt;RTUgRtUvkat;Edkkgy:agehacmYy enaH ACI Code, Section 11.5.4tMrUvfa KMlatrvagEdkkgminKYrelIs 2/d b mm600 RbsinebI dbfV wcs '33.0 edayQrelIkarsnt;fasameRbHGgt;RTUgekItmantammMu o45 niglatsnwgtamcMgayedkRbEhlcMgay d. enAkgtMbn;kMlaMgkat;

TTwgFMEdl dbfV wcs '33.0> KMlatEdkkgGtibrmacenaHEdkkgminRtUvFMCag 4/d . karkMNt;enHcaM)ac;edIm,IFanaeGaysameRbHGgt;RTUgkat;Edkkgy:agehacbI. enAeBlEdl dbfV wcs '67.0> karkMNt;nKMlatGtibrmaminRtUv)anGnuvtehIyTMhMrbs;muxkat;ebtugKYrRtUv)antMeLIg.

karkMNt;TIBIrsMrab;KMlatGtibrmanEdkkgkGacTTYl)anBIlkxNmuxkat;EdkkMlaMgkat;TTwgGb,brma. vA Gb,brma RtUv)anTTYlenAeBlKMlat s Gb,brma smIkar *>@!.

karkMNt;TIbIsMrab;KMlatGtibrmaesInwg mm600 enAeBlEdl dbfV wcs '33.0 nigesInwgmm300 enAeBlEdl dbfVdbf wcswc '67.0'33.0 < . tMltUcCageKnKMlatGtibrmaRtUv)anyk


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Department of Civil Engineering viTasanCatiBhubeckeTskm%.

5> ersIusg;yield rbs;EdkkMlaM gkat;TTwg

ACI Code, Section 11.5.2. tMrUveGayersIusg;design yield strength rbs;EdkkMlaMgkat;TTwgminKYrelIs MPa420 . mUlehtuEdlenABIeRkaykarsMercenHKWedIm,IkMNt;TMhMsameRbHEdlbNalmkBIkMlaMgTajGgt;RTUg nigedIm,IFanafaEKmrbs;sameRbHenArkSapb:HCitKaedIm,IbegInkMlaMgbBannkMlaMgkat;rvagGnrp aV rUbTI*>%. sMrab;ssrEdkfaMgGMeBAsMrab;pSar (welded deformed wire fabric)ersIusg;design yield strength minKYrelIs MPa560 .

6> TMBk;rbs;Edkkg

ACI Code, Section 11.5.2. tMrUvfaEdkkMlaMgkat;TTwgRtUv)andak;enAEk,rsesrrgkarsgt;eRkAbMput nigssrrgkarTajeRkAbMputtamEtGaceFVIeTA)an CamYynwgtMrUvkarrbs;code sMrab;kMra;karBarEdkedaysarEt enAeBlEdlbnkEdlmanGMeBIenAelIFwmxiteTACitbnkcugeRkay (ultimate load) sameRbHkMlaMgTaj edaykarBt; (flexural tension crack) bnayy:ageRCAcUleTAkgFwm. dUcKa edIm,IeGayEdkkgTTYl)annUversIusg; yield eBj vaRtUvkarnUvTMBk;Edll. enAeBlEdlbnkEdlmanGMeBIelIFwmxiteTACitbnkcugeRkay (ultimate load)kugRtaMgenAkgEdkkg)aneTAdl;kugRtaMg yield rbs;va enAcMnucEdlsameRbH

Ggt;RTUgkat;cMEdkkgenaH. tMrUvkarrbs;ACI Code sMrab;TMBk;Edkkg/ Section 12.13 dUcxageRkam-

karBt;nImYyenAkgEpkCab;nEdkkgGkSr U Fmta bBhuEdkkgGkSr U KYrBTCMuvijEdkbeNay (ACI Code, Section 12.13.3)emIlrUbTI*>*a.

- CodeGnuBaateGayeRbInUvTMBk;standard o90 / o135 b o180 CMuvijEdkbeNysMrab;Edkkg16DB . RbsinebIEdkkg 19DB / 22DB nig 25DB CamYynwg MPafyt 280> enaH Code,

Section 12.13.2 tMrUvTMBk; standard bUknwgRbEvgbgb; cytb ffd '/17.0 cenaHBak;kNal

kMBs;Fwm nigEpkxageRkAnTMBk;. RbsinebIEdkRtUvBt;edaymMuo

90 RbEvgBntminRtUvtUcCagbd12 . sMrab;Edk 16DB bEdkkgTMhMtUcCagenH RbEvgBntKW bd6 (ACI Code, Section 7.1)

emIlrUbTI*>*.-

RbsinebIEdkkgGkSr U DubRtUv)aneRbIedIm,IpMCaEdkkgbiTCit RbEvgRCYs (lap length)minRtUvtUcCag dl3.1 (ACI Code, Section 12.13.5)emIlrUbTI *>*c.

- ssrEdkEdlpSar (welded wire fabric) RtUv)aneRbIsMrab;EdkkMlaMgkat;TTwgenAkg]sSahkm

plitTukmun (precast industry) . TMBk;lMGitRtUv)anpl;eGayenAkg ACI Code, Section12.13.2.3nigenAkgesckIBnl; (commentary) rbs;va.


15/48

T.Chhay NPIC


- EdkkgbiTCitRtUv)anpl;eGaysMrab;FwmEdlrgnUgkMlaMgrmYl (ACI Code, Section 7.11).- FwmEdlenABTCMuvijeRKOgbgMRtUveRbIEdkkgbiTCitedIm,IrkSa structural integrity rbs;Ggt;

(ACI Code, Section 7.13.2.2).

7>EdkkgenAEdlenAEk,rTMr

ACI Code, Section 11.1.3kMNt;faEdkkgkMlaMgkat;TTwgEdlpl;eGayenAcenaHpTMr nigmuxkat;eRKaHfak; (critical section)EdlsitenAcMgay dBITMr KYrRtUv)anKNnasMrab;kMlaMgkat;TTwg uV dUcKa enAnwg

muxkat;eRKaHfak;. vaCakarGnuvtn_Fm

taedaydak;EdkkgTImYyenAcMgay 2/s BIpnTMr Edl s CaKMlatEdlKNnaedaysmIkar *>!^ sMrab; uV enAmuxkat;eRKaHfak;.


16/48

Department of Civil Engineering viTasanCatiBhubeckeTskmRbEvgRbsiTPaBrbs;EdkdgErk

manEtbIPaKbYnRtg;cMnuckNalnEpkeRTtnEdkbeNayRtUv)anKitfamanRbsiTPaBsMrab;EdkkMlaMgkat;TTwg. enHmannyfa KMlatGtibrmarbs;EdkdgErkKW )'(75.0 dd . BIrUbTI*>( RbEvgRbsiTPaB

rbs;EdkdgErkKW )'(06.1)')(414.1(75.045sin/)'(75.0 dddddd o

== . KMlatGtibrma s es

InwgcMgayedkEdl)anBIkarTMlak;cMeNalEkgnRbEvgRbsiTPaBEdkdgErk. dUcenH

oddS 45cos)'(06.1max = b )'(75.0707.0)'(06.1max ddddS ==

7>karKNnaEdkkgbBar

eKRtUvkarEdkkg (stirrup)enAeBlEdl cu VV 21> . EdkkgGb,brmaRtUv)aneRbIenAeBlEdl

cuc VVV !^ sytv VdfAS /= .

EdkkgEdlRtUv)aneRbICaTUeTAenAkgmuxkat;ebtugCaEdkkg 10DB nig 12DB GkSr UeCIgBIrCamYynwg MPafyt 400= . RbsinebI 10DB RtUv)aneRbIenaH smIkar*>!^kayCa

sss

ytv

VVV

fA

d

S 62800400157=

== *>@$

RbsinebI 12DB RtUv)aneRbIenaH

sss

ytv

VVV

fA

d

S 90400400226=

== *>@%

pleFobKMlatEdkkgelIkMBs;RbsiTPaB drbs;Fwm GaRsynwg sV . tMln dS/ sMrab;tMlepSgKan sV enAeBlEdl MPafyt 400= RtUv)aneGayenAkgtaragTI2 nigtaragTI3 sMrab;Edk 10DB nigEdk 12DB erogKa. tMldUcKaRtUv)anbgajCadaRkamdUcenAkgrUbTI8>10 nigrUbTI8>11.


17/48

T.Chhay NPIC


taragTI2> pleFob dS/ sMrab;tMl sV MPafyt 400= / sVdS /62800/ = 10DB sV )(kN 125.6 142.7 190.3 237.9 251.2 285.5 330.5 380.6 418.7 475.8 592.5

dS/

0.5 0.44 0.33 0.264 0.25 0.22 0.19 0.165 0.15 0.132 0.106

taragTI3> pleFob dS/ sMrab;tMl sV MPafyt 400= / sVdS /90400/ = 12DB sV )(kN 180.8 225 265 310 361.6 445 490.0 535 665 775 850

dS/

0.5 0.40 0.34 0.29 0.25 0.20 0.18 0.17 0.14 0.12 0.11


18/48

Department of Civil Engineering viTasanCatiBhubeckeTskm enaH 4/dS .- RbsinebIeKeRbI 12DB / 2/dS= enAeBlEdl kNVs 8.180 . enAeBlEdl sV ekIneLIg

dS/ fycuHtamExSekageTArktMl 14.0 enAeBl kNVs 665= . RbsinebIKMlatGb,brmaRtUv)ankMNt;Rtwm mm75 enaH mmd 535 . enAeBlEdl kNVs 6.361> enaH 4/dS .

-

RbsinebIeKeRbIEdkkgGkSr U MPafyt 280= enaHeKRtUvKuN dS/ edaytMl 10/7 bCaTUeTA400/ytf .

8>

segbviFIsaRsKNnaEdkkgbBar

CMhankgkarKNnaEdkkgbBarsMrab;kMlaMgkat;TTwg edayeyagtam ACI CodeGacRtUv)ansegbdUcxageRkam

a. kMNt;kMlaMgkat;KNnauV BIbnkEdlGnuvtnmkelIeRKOgbgM. kMlaMgkat;KNnaRKITic

EdlRtUvykmksikSasitenARbEvg dBImuxnTMr.

b.

kMNt;dbfV wcc '17.0 =

bdbfdb

M

dVfV wcw

u

uwcc

'29.0)2.17'16.0( +=

bnab;mkKNna cV

2

1

c. k> RbsinebI cu VV

2

1< muxkat;minRtUvkarEdkkg

x> RbsinebI cuc VVV RbsinebI cu VV > muxkat;Edkkg RtUvKNnadUcxageRkamd.

kMNt;kMlaMgkat;EdlTb;eday Edkkg

cu

s

VVV

=

e. kMNt; dbfV wcc '33.01= nig 12 2'67.0 cwcc VdbfV == . RbsinebI 2cs VV > tMeLIgmuxkat;.

f. kMNt;KMlatrbs;Edks

ytv

V

dfAs =1

g.

kMNt;KMlatEdkGtibrmaEdlGnuBaatieday ACI Code. KMlatEdkGtibrmaCatMltUcbMputn 2s nig 3s


19/48

T.Chhay NPIC


k> cmds 602

2 = RbsinebI dbfVV wccs '33.01=

cmd

s 304

2 = RbsinebI 21 csc VVV <

x>cw

ytv

w

ytv

fb

fA

b

fAs

'

1633 =

h.

k> RbsinebI max1 ss < eRbI 1s x> RbsinebI max1 ss > eRbI maxs

i. ACI Codemin)ankMNt;nUvKMlatGb,brmaeT. eRkamlkxNFmta KMlatGb,brma SRtUv)ansnt;ykesInwg mm75 sMrab; cmd 50 nigmanKMlatGb,brmaesInwg mm100 sMrab;FwmeRCA (deep beam). RbsinebI SmantMltUcenaH eKGactMeLIgmuxkat;Edkkg

beRbIEdkkgeCIgeRcIn rUbTI 8>8.j. sMrab;muxkat;mUl RkLapEdleRbIsMrab;KNna =cV plKuNGgt;pitCamYykMBs;RbsiTPaB

d/ Edl 8.0=d nGgt;pit/ ACI Code, Section11.3.3.]TahrN_

FwmTMrsamBamanmuxkat;ctuekaN cmb 30= / cmd 55= nig cmh 60= ehIyRtUv)anBRgwgeday 254DB . epgpat;faetImuxkat;enHRKb;RKan;bGt;sMrab;kMlaMgkat;TTwgemKuN (ultimate shear force)xageRkam. RbsinebIva minRKb;RKan;cUrKNnaEdkkMlaMgkat;TTwgkgTMrg;CaEdkkgGkSr U. edayeRbI

MPaf c 28' = nig MPafyt 400= .k> kNVu 50= x> kNVu 110= K> kNVu 240= X> kNVu 345= g> kNVu 570= dMeNaHRsay

CaTUeTA mmbbw 300== / mmd 550= nig( ) ( ) kNbdfV cc 3.111105503002817.075.0'17.0 3 ===

kNVc 65.5521 =

( ) ( ) kNbdfV cc 288105503002833.0'33.03

1 ===

) kNbdfV cc 576'67.02 ==

k> kNVkNV cu 565.5550 21 = cu VkNV 21110 >= / b:uEnvatUcCag kNVc 3.111= . eday 0=sV dUcenH muxkat;RtUvkarEdk

kMlaMgkat;TTwgGb,brma. eRbI 10DB CaEdkkgGkSr UenAKMlatGtibrma.22 157

4102 mmAv ==

KMlatGtibrmaCatMltUcCageKkgcMeNammmdS 2752/2 == yk mm250 lub


20/48


21/48

T.Chhay NPIC


2>sMrab;X> kNVs 6.311= / 18.0/ =dS enaH mmS 1001= / kNkNVs 2.2516.311 >= enaH4/max dS = RtUv)aneRbI.

]TahrN_2

FwmTMrsamBaEdlmanRbEvg m2.5 nigmanRbEvgcenaHssr (clear span) m9.4 edayRTnUv

bnkBRgayes

Iefr mkN/65 nigbnkBRgayes

IGefr mkN/55 . TMhMrbs;Fwm nigssrEdkRtUv)anbgajenAkgrUbTI 8>12. epgpat;muxkat;sMrab;kMlaMgkat;TTwg nigKNnaEdkkMlaMgkat;TTwgcaM)ac;. eKeGay

MPaf c 20' = nig MPafy 400= .

dMeNaHRsay

eKeGaymmbw 350=

/mmd 580=

1>

KNnakMlaMgkat;TTwgemKuN (ultimate shear)BIbnkxageRkAbnkBRgayesIemKuN mkN/166556.1652.1 =+=

uV enABImuxpTMr kN7.4062

9.4166=

=

KNna uV enAcMgayBImuxpnTMr kN42.31016658.07.406 == 2>KNna :cV

( ) kNdbfV wcc 75.115105803502017.075.0)'17.0(3

===

kNVc 87.572

1 =


22/48

Department of Civil Engineering viTasanCatiBhubeckeTskm


23/48

T.Chhay NPIC


cMnYnEdkkgsrubsMrab;FwmKW 28)491(2 =++ . karBRgayEdkkgRtUv)anbgajenAkgrUbTI 8>13kMlaMggkat;TTwgEdl)anKNnaRtUv)anbgajenAkgrUbTI8>12.

10> dak;Edkkg 12DB cMnYnBIredIm enABIelImuxkat;FwmedIm,IedIrtYrCaEdkkgBr.

9>

kMlaMgkat;TTwgEdlbNalBIbnkGefrenAkg]TahrN_TI2 TaMgbnkefr nigbnkGefrRtUv)ansnt;faBRgayesIeBjtambeNayFwm Edl

begIt)ankMlaMgkat;TTwgsUnenAkNalElVg. CaFmta bnkefrBitCaBRgayeBjelIbeNayFwm EtbnkGefrGacGnuvteBj bkGnuvtEtEpkxHrbs;Fwm EdltMrUveGaymankMlaMgkat;TTwgGtibrmaekIteLIgenAkNalElVg bmuxkat;kMNt;NamYy. rUbTI8>14 abgajBIFwmTMrsamBaCamYynwgbnkBRgayesIGnuvteBjbeNayFwm. kMlaMgkat;TTwgERbRbYlCaragbnat;tambeNayFwm CamYynwgkMlaMgkat;TTwgGtibrmaenATMrA .

kgkrNIEdlbnkGefr LWW 6.12 = kMlaMgkat;TTwgGtibrmamanGMeBIenARtg;TMr A enAeBlEdl

2W GnuvteBjElVgFwm rUbTI8>14 a. kMlaMgkat;TTwgGtibrmaekItmanenAkNakElVgRbsinebIbnkGefrRtUv)andak;EtBak;kNalFwm BCrUbTI8>14b EdlbegIt)an uV enAkNalElVgesInwg 8/2LW . dUcenH kMlaMgkat;TTwgKNnaRtUv)anbegIteLIgedaykarbEnmkMlaMgkat;TTwgGtibrmaEdlbNalmkBIbnkGefr EdlRtUv)andak;enAelIRbEvgepSgnElVg eTAelIkMlaMgkat;TTwgGefr rUbTI8>14 c. vaCakar

Gnuvtn_Fm

taedayKitkMlaMgkat;TTwgGtibrmaRtg;TMr A es

Inwg 2/)6.12.1(2/ LWWLW LDu += / b:uEn uV enAkNalElVgesI 8/)6.1(8/2 LWLW L= CamYybnat;Rtg;ERbRbYltambeNay ACnig CB dUcbgajenAkg rUbTI 8>14 d. karKNnasMrab;kMlaMgkat;TTwgenAkkrNIenHnwgGnutdUcKanwgkarBnl;kg]TahrN_2.RbsinebI karerobrab;xagelIenHGnuvteTAFwmkg]TahrN_2 enaH uV enATMr A kN7.406= nig uV enAkNalElVg kN9.538/9.4)556.1( == .


24/48



25/48

T.Chhay NPIC


]TahrN_3

Fwm cantileverRbEvg m3 manmuxkat;ctuekaNEkg nigRTnUvbnkemKuNBRgayesInigcMcMnucbnkpal;xnRtuv)anrab;bBalrYc dUcbgajenAkgrUb 8>15. edayeRbI MPaf c 28' = nig MPafy 400= KNnaEdkkMlaMgkat;TTwgcaM)ac;sMrab;dak;kgFwmTaMgmUl edayeyagtam ACI Code.

dMeNaHRsay1>KNnakMlaMgkat;TTwgtambeNayFwmEdlbNalmkBIbnkxageRkA

uV enATMr kN3653689380 =++=

udV enAcMgay d kN4.3513000

51080365 ==

uV enAcMgay m2.1 xageqVg kN2692.180365 ==

uV

enAcMgaym2.1

xagsaM kN18089269 ==

uV enAcugTMenr kN36=

daRkamkMlaMgkat;TTwgRtUv)anbgajenAkgrUbTI8>15.2>KNna cV

( ) ( ) kNbdfV cc 2.103105103002817.075.0'17.0 3 === kNVc 6.512

1 =

edaysar cud VV >

muxkat;ebtugRtUvkarEdkkMlaMgkat;TTwg. KNnakNbdfV cc 2.26710510300)2833.0('33.0

31 ===


26/48

Department of Civil Engineering viTasanCatiBhubeckeTskmEpk AC kMlaMgkat;TTwgKNna kNVV udu 4.351== . KNna /)( cus VVV = kN9.33075.0/)2.1034.351( == . edaysarEt 21 csc VVV 10.4>KNnaEdkkg eRCIserIsEdkkgGkSr U 10DB / 2157mmAv = . KNna 1S QrelI sV

mmV

dfAS

s

ytv100

330900

5104001571 ===

eRbI mm100 bTTYl 19.0/ =ds BIrUb 8>10.5>KNnaKMlatGtibrma mmdS 5.1274/5104/2 === yk mm125

mmb

fAS

w

ytv550

30035.0

400157

35.03 =

== BItaragTI1 sMrab; mmb 300=

mmS 3004 =

dUcenH mmS 125max= 6>eday mmSmmS 125100 max=

enAcMnuc C/ kMlaMgkat;TTwgKNna cu VkNV >= 269 enaH ( ) kNVs 22175.0/2.103269 == .mmVdfAS sytv 145/1 ==

kNVkNV cs 2.267221 1=Epk BC

A. cu VkNV >=180 kNVkNV cs 2.2674.10275.0/)2.103180( 1=


27/48

T.Chhay NPIC


10> karBRgayEdkkgedayvas;ecjBITMr A dak;EdkkgTImYyenA mmS 502=

mm120010012 = mm17502507 =

srub mm3000 karBRgayEdkkgRtUv)anbgajenAkgrUbTI8>16. EdkkgsrubmancMnYn 20 .

10> kugRtaMgkMlaMgkat;TTwgenAkgGgt;EdlmankMBs;ERbRbYl

edaysarEtkugRtaMgkMlaMgkat;TTwg v CaGnuKmn_nkMBs;RbsiTPaB ddUcenHkugRtaMgkat;TTwgERbRbYl

tambeNayFwmebtugBRgwgedayEdkCamYynwgkBs;ERbRbYl. enAkgFwmEbbenH rUbTI8>17 eKBicarNaelIGgGnntUc dx . kMlaMgsgt;CenAelImuxkat;NamYyesInwgm:Um:g;EckeGaydXas;b yMC /= .

edrIevTImYyn CKW

2y

MdyydMdC

=

RbsinebI 1C FMCag 2C enaH vbdxdCCC == 21

dyy

M

y

dM

y

MdyydMvbdx

22 =

=

=dx

dy

by

M

dx

dM

ybv

2

1

edaysar jdy= / dxdM/ esInwgkMlaMgkat;TTwg V nig dxjdd /)( CaCMral (slope)/

= )(

)( 2 jd

dx

d

jdb

M

bjd

Vv nig tan

)( 2jdb

M

bjd

Vv = *>@^

Edl Vnig MCakMlaMgkat;TTwg nigm:Um:g;xageRkA ehIy CamMuCMralnpmYyrbs;FwmeTAnwgpmYyeTotrbs;Fwm. sBaabUkRtUv)aneRbIenAeBlEdlkMBs;fycuHm:Um:g;ekIneLIg b:uEnsBaadkRtUv)aneRbIenAeBlkMBs;ekIneLIgehIym:Um:g;kekIneLIg. rUbmnenHRtUv)aneRbIenAeBlEdlmMuCMraltUc EdlmMu o30 .


28/48

Department of Civil Engineering viTasanCatiBhubeckeTskm@^GacRtUvbegIteLIgedaysMrYl j enaHeyIgTTYl)an

tan2

bd

M

bd

Vv = *>@&

sMrab;viFIKNnaersIusg;smIkarxageRkamGacRtUv)aneRbI

tan2

bd

Mbd

Vv uu = *>@*

sMrab;kMlaMgkat;TTwg

tand

MVV uun = *>@(


29/48

T.Chhay NPIC


rUbTI 8>18 bgajBIFwm cantileverCamYynwgbnkcMcMnucenAcugTMenr. m:Um:g;nigkMBs; dekInelIgkgTisedAeTArkTMr. kgkrNIenH sBaadkRtUv)aneRbIenAsmIkar *>@& *>@* nig*>@(. dUcKa sBaadkRtUv)aneRbIsMrab;muxkat; tenAkgFwmTMrsamBadUcbgaj ehIysBaabUkRtUv)aneRbIsMrab;muxkat;ZEdlm:U

m:g;ekIneLIgenAeBlEdlkMBs;fycuH.enAkgkrNICaeRcIn karERbRbYlkMBs;rbs;FwmekItmanenAeLIEpkrbs;FwmEdlenAEk,rTMr rUbTI

8>18.karBesaFn_eTAelIFwmCamYykMBs;ERbRbYlbgajfa FwmEdlmankMBs;FMenATMrCaTUeTA)ak;edaysar

kMlaMgkat;TTwgsgt;. FwmEdlmankMBs;tUcenATMrCaTUeTA)ak;edaysarPaBKanesrPaB EdlbNalmkBIkarraldalnsameRbHemenAkgFwmeLIgelIehIybnab;mksameRbHenaHraldaltamTisedkenAelImuxkat;

FwmEpkxagelI. karBiesaFn_k)anbgajEdrfa sMrab;FwmEdlmankMBs;ERbRbYl rUbTI8>18 CamYynwgmMueRTt RbEhl o10 nigrgnUvkMlaMgkat;TTwg nigkMlaMgBt;ersIusg;kMlaMgkat;TTwgrbs;ebtug CVV GacRtUv)anKNnaeday

)tan1( += cCV VV *>#0Edl =CVV ersIusg;kMlaMgkat;TTwgrbs;FwmCamYynwgkMBs;ERbRbYl

( ) dbfdbM

dVfV wcw

u

uwcc '29.02.17'16.0

+= ACI Code Eq.11.6

= mMuEdlbegIteLIgedayTisrbs;Edk. vaRtUv)anKitfaviCmansMrab;FwmEdlmankMBs;tUcenATMr nigGviCmansMrab;FwmEdlmankMBs;FMenATMr rUbTI 8>18

=sd kMBs;RbsiTPaBrbs;FwmenATMrACI Code Eq.11.3 CasmIkarRtUv)ansMrYl nigGaceRbIedIm,IKNna cV

) dbfV wcc '17.0= *>#!]TahrN_4

KNnaFwmcantilever

dUcbgajenAkgrUbTI8>19 eRkamGMeBIbnkemKuN. FwmenHkMBs;srubenAcugTMenr mm300 ehIyekIneLIgeTArkTMr. edayeRbIPaKryEdk %5.1= / MPaf c 28' = /MPafy 400= nig mmb 250= .

dMeNaHRsay

1> uM TMr mkN.2695.2622/5.25.36 2 =+=

2>sMrab; %5.1= / MPaRu 72.4=

mmbR

M

du

5.47725072.4

10269 6

=

==


30/48


KNnasMrab;kMlaMgkat;TTwg kMlaMgkat;TTwgGtibrmaenATMrKW kN25.1535.25.3662 =+ . Edaysarmuxkat;FwmERbRbYl m:Um:g;RtUv)anBicarNakgkarKNnakMlaMgkat;TTwg. edaysarkMBs;FwmekIn

eLIgCamYym:Um:g;ekIneLIg sBaadkRtUv)aneRbIenAkgsmIkar *>@*)(tan

2

bd

M

bd

Vv uuu =

edIm,Irk tan / yk denAcugTMenresI mm490 nig denAKl;TMresI mm240

1.02500

240490tan =

=

uv TMr MPa07.11.049025075.0

10269

49025075.0

1532502

6

=

=

4>

kugRtaMgkMlaMgTTwgenAcugTMenrKW bdVu / 0=uM MPavu 38.1

24025075.0

62000=

=

5>enAcMgay mmd 490= BImuxpnTMr kMBs;RbsiTPaBKW mm441 BIrUbFrNImaRt

kNVu 4.13549.05.3625.153 ==

uM enAcMgay mm490 BITMr= mkN.4.1982

01.25.3601.262

2

=+

MPavu 09.144125075.0

1.0104.19844125075.0

104.1352

63

= =


31/48

T.Chhay NPIC


6>enAkNalElVg m25.1 BITMr

mmd 365= kNVu 6.10725.15.3625.153 ==

mkNMu .1062

25.15.3625.162

2

=+= MPavu 15.1

36525075.0

1.010106

36525075.0

106.1072

63

=

=

dUcKa enAcMgay m9.1 BITMr m6.0 BIcugTMenr

mmd 300= kNVu 9.83= kNMu 8.43= kNvu 23.1= enAcMgay m2.2 BITMr m3.0 BIcugTMenr

mmd 270=

kNVu 73=

kNMu 2.20=

kNvu 29.1=

tMlTaMgGs;enHRtUv)anbgajenAkgrUbTI8>207>

kugRtaMgkMlaMgkat;TTwgedayebtugKW

MPa9.02817.0 = kugRtaMgkMlaMgkat;TTwgGb,brmaEdlRtUvTb;edayEdkkMlaMgkat;TTwg

MPavus 48.09.038.1 ==

uv nig usv RtUv)anekIneLIgedaypleFob /1 kgsmIkar 8>288> eRCIserIsEdkkg 10DB EdlmanEdkBIr21575.782 mmAv ==

ScaM)ac; mmbv

fA

ws

ytv523

25048.0

400157=

==

maxS sMrab;2

d mm245= eTA mm120 enAcugTMr

maxS

sMrab;Gb,brmavA

mm

b

fA

w

ytv718

25035.0

400157

35.0

=

==

9> epgpat;KMlatGtibrma :)2/(d cus fv '33.0

MPaMPaf c 48.074.12833.0'33.0 >== 10>karBRgayEdkkg cMgayBIcugTMenr

EdkkgcMnYnmYymancMgay mm50 mm50= EdkkgcMnYndb;mancMgay mm120 mm1200=

EdkkgcMnYnbImancMgay mm175 mm525= EdkkgcMnYnbI;mancMgay mm200 mm600=


32/48



33/48

T.Chhay NPIC


11> Ggt;rgkarBt;eRCA

Ggt;rgkarBt;KYrRtUv)anKNnaCaFwmeRCARbsinebIpleFobn clear span nl Edlvas;BIpmuxTl;Karbs;TMr rUbTI 8>21 elIkMBs;srub h mantMltUcCag 4 (ACI Code, Section 11.8). Ggt;KYrrgnUvbnk

enAelIpEdlQmnwgpnTMr EdlGaceFVIeGay strut rgkarsgt;GacbegIteLIgenAcenaHbnk nigTMr rUbTI8>22. RbsinebIbnkGnuvtenA)at bpxagrbs;FwmeRCA smIkarKNnakMlaMgkat;TTwgsMrab;FwmFmtaEdl)aneGayBIxagmuxKYrRtUv)aneRbI. Ca]TahrN_FwmeRCAKWCaFwmElVgxIEdlRTbnkFn;/ CBaaMgbBareRkambnkTMnajEpndI (gravity load), shear wall, nigkMralxNrgnUvbnkedk.

niymnyrbs;Ggt;rgkarBt;eRCAkRtUv)anbgajenAkg ACI Code, Section 10.7.1. vabgajfaGgt;rgkarBt;EdlmanpleFob 4/ 22 a.

rUbTI8>22 abgajBIkarBRgaykugRtaMgeGLasic enARtg;muxkat;kNalElVgnFwmeRCA nigrUbTI8>22bbgajBIExSekagkugRtaMgemenAkgFwmeRCAEdlrgbnkenApxagelI(top-load deep beam). ExSCab;bgajBIkarBRgaykugRtaMgTaj ExSdac;bgajBIkarBRgaykugRtaMgsgt;. eRkambnkFn;sameRbH

bBareRTtekItmanenAkgebtugkgTisedAEkgnwgkugRtaMgTajem ehIyesIrEtRsbeTAnwgExSKngdac;rUbTI8>22 c. dUcenH eKRtUvkarTaMgEdkedk nigEdkbBaredIm,ITb;nwgkugRtaMgem. elIsBIenH EdkrgkarBt;edaykarTaj (tensile flexural reinforcement)RtUv)andak;enARbEhlmYyPaKR)aMenA)atrbs;FwmtamKngkugRtaMgTaj rUbTI8>22b . CaTUeTA karviPaKFwmeRCAmanlkNsKsaj nigGacGnuvtedayeRbIKMrUtrussbedIm,ITTYl)anlTplkan;EtsuRkiteKeRbIviFIfinite elementbviFIRsedogKa. edIm,IgayRsYlkgkarKNnakMlaMgkat;TTwgnFwmeRCA eKGacGnuvttamCMhanEdl)anerobrab;xageRkam


34/48

Department of Civil Engineering viTasanCatiBhubeckeTskm muxkat;eRKaHfak; (critical section) RbsinebImuxkat;eRKaHfak;sMrab;KNnakMlaMgkat;TTwgenAkgFwmeRCAEdlRTbnkbBarGnuvtenApxagelIrbs;Fwm sitenAcMgay XBIpnTMr enaHcMgay XGacRtUv)ankMNt;dUcxageRkam rUbTI8>23


35/48

T.Chhay NPIC


a. sMrab;FwmeRCAEdlRTbnkBRgayesI nlX 15.0= / Edl =nl clear span.b. sMrab;bnkcMcMnuc 11 5.0 aX = TMrxageqVg b 22 5.0 aX = TMrxagsaM rUbTI8>23/

Edl 1a nig 2a esInwg shear spanEk,rTMrnImYy. Shear span CacMgayBIbnkcMcMnuc

eTApnTMr.enAkgRKb;krNITaMgGs; cMgayX/ 1X nig 2X dac;xatminRtUvFMCagkMBs;RbsiTPaB d.

2> ersIusg;kMlaMgkat;TTwgGtibrma nV ersIusg;kMlaMgkat;TTwgGtibrma nV sMrab;Ggt;rgkarBt;eRCAminKYrmantMlFMCagtMlxageRkam 75.0=

sMrab; 2#@ a

byk dbfV wcn '83.0 = *>##krNITaMgBIr manEcgenAkg ACI Code, Section 11.8.3. RbsinebI nu VV > enaHeKRtUvtMeLIg

muxkat;ebtug.3>a.ersIusg;kMlaMgkat;TTwgrbs;ebtug cV ersIusg;kMlaMgkat;Fmta (nominal shear strength)

cV rbs;ebtugGacRtUv)anKNnadUcxageRkamdbfV wcc '17.0= *>#$


36/48

Department of Civil Engineering viTasanCatiBhubeckeTskm#$ RtUv)aneRbICamYyKMnitfasameRbHEdltUcesIrEtemIlmineXIjGacekItmanenAkgFwmeRCA nigGacGueRKaH)an. sameRbHGaccab;epImekItmanenARbEhlmYyPaKbInbnkemKuN.

4>

EdkkMlaMgkat;TTwg enAeBlkMlaMgkat;TTwgemKuN cu VV > eKRtUvdak;EdkkMlaMgkat;TTwgEdlcat;Tukfa )( scu VVV += b /)( cus VVV = . CMhannkarKNnamandUcxageRkam

a. kMNt; sV kMlaMgTb;edayEdkkMlaMgkat;TTwg sV RtUv)ankMNt;BIsmIkarxageRkam

dfdl

S

Adl

S

AV y

n

h

vhn

v

vs

+

+=

12

/11

12

/1 *>#^

Edl =vA RkLapsrubnEdkkMlaMgkat;TTwgbBarEdlmanKMlat vS ehIyEkgeTAnwgEdkemrgkarTajedaykarBt;npxagTaMgBIrrbs;Fwm

=vhA RkLapsrubnEdkkMlaMgkat;TTwgedkEdlmanKMlat hS RsbnwgEdkemrgkarTajedaykarBt;npxagTaMgBIrrbs;Fwm

b. KMlatEdkkMlaMgkat;TTwgKW

KMlatQrGtibrma mmdSv 3005

KMlatedkGtibrma mmdSh 3005

c. EdkkMlaMgkat;TTwgGb,brma RkLapEdkkMlaMgkat;TTwgbBarKW vwv SbA 0025.0= .RkLapEdkkMlaMgkat;TTwgedkKW hwvh SbA 0015.0= .

d. EdkkMlaMgkat;TTwgRtUvkarenARtg;muxkat;eRKaHfak;KYrRtUv)anlatsnwgeBjRbEvg nigkMBs;rbs;FwmeRCA.

e.

sMrab;FwmeRCACab;EdkkMlaMgkat;TTwgdUcKaKYrRtUv)aneRbIenARKb;ElVg RbsinebIElVgTaMgenaHmanRbEvgesIKaCamYybnkRsedogKa.


37/48

T.Chhay NPIC


5> EdkrgkarBt;nFwmeRCA dMeNIrRbRBwteTAnkarBt;rbs;FwmeRCAKWmanlkNsKsaj nigTamTarkarviPaKkugRtaMg nigbMErbMrYlrageFobtamlkN nonlineartamkMBs;rbs;Fwm. sMrab;karKNnadMbUg viFIdsMrYlxageRkamGacRtUv)aneRbI

)(yfAM ysn = Edl =y dXas; ( )2/ad= . edaysartMl ( )2/ad mankarBI)akkgkarKNna/ d

Xas;y GacRtUv)anKNnaRbEhlykesInwg h6.0 sMrab; 1/ =hln nigmantMlesInwg h8.0 sMrab; 2/ =hln . viFanRtzan(Linear interpolation)GacRtUv)aneRbIedIm,IKNna y enAeBl hln / ERbRbYlcenaH 0.1 nig 0.2 . dUcenH

y

us

yf

MA

= *>#&

tMln sA minGactUcCagEdkrgkarBt;Gb,brmaEdlRtUvkarsMrab;FwmFm

taEdlnwgeGayenAeBlbnab;edaysnt; hd 9.0= .

sA Gb,brma dbf

dbf

fw

yw

y

c 38.1'25.0 = *>#*

GgTIBIrlub enAeBlEdl MPaf c 30' < . cMNaMfa yf nig cf' KitCa MPa .EdkrgkarTajedaykarBt; (flexural tension reinforcement)KYrdak;enA 4/h eTA 5/h n

Fwm nigKYrmanKMlatRKb;RKan;tambeNay)attMbn;Taj. EdkrgkarTajKYrEtf


38/48



39/48

T.Chhay NPIC


K> KNna /)( cus VVV = edaysar kNkNVc 3.15529.1785 >= enaH 0=sV dUcenHeKRtUvkarEdkkMlaMgkat;TTwgGb,brma.

X> KNnaEdkkMlaMgkat;TTwg

edaysn

t;eRbIEdk 12DB sMrab;dak;enApsgagTaMgtamTisedAedk nigTisedAQrenaH22 226

4122 mmAA vhv ===

KMlatGtibrmaGnuBaatrbs;EdkQr nigEdkedk

mmmmd

SS vhv 3004505

2250

5>==== yk mmSS nhv 300==

EdkQrGb,brma

vA Gb,brma= 22 2263003004000025.0 mmmm >=

bBaHKMlatEdkkgbBar mmSv 2260025.0400

226=

=

EdkedkGb,brma

vhA Gb,brma= 22 2261803004000015.0 mmmm

RbsinebIeyIgeRbIdbfV

wcc

'17.0=

enaHkNV

c

6.8091022504002817.0 3 ==

nigkNkNVc 3.15522.607


40/48

Department of Civil Engineering viTasanCatiBhubeckeTskm24.

]TahrN_6 FmeRCA strut and tie

FwmeRCATMrsamBaEdlman clear span m6.3= kMBs;srub m8.1= nigTTwg mm450= . FwmenHRT

ssrkaerEdlmanRCug mm450=

enAkNalElVgEdlRTnUvbnkefr kN1335=

nigbnkGefr kN1070=

.KNnaFwmenHedayeRbIviFIstrut and tie. eKeGay MPaf c 28' = nig MPafy 400= rUbTI8>25.


41/48

T.Chhay NPIC


dMeNaHRsay

1>KNnabnkemKuN rUbTI8>25TMgn;Fwm kN1.912545.08.15.4 ==

edaysarTMgn;pal;rbs;FwmmantMltUcebIeFobCamYybnkcMcMnucenAkNalElVg dUcenHbEnmvaeTAkgbnkGefrcMcMnucEdlmanGMeBIrenAkNalElVg

( ) kNLDPu 32.342310706.11.9113352.16.12.1 =++=+= kNRR BA 66.1711==

2>

epgpat;faetIFwmenHeRCAtamkarEcgrbs; ACI Code, Section 11.8: clear span mln 6.3= nigmh 8.1= ehIy 42/

KNnaersIusg;kMlaMgkat;TTwgGtibrmanmuxkat;Fwmyk uV enARtg; kNRA A 66.1771== nigsnt;yk mhd 62.18.19.09.0 ===

kNdbfV wcn 1.27431016204502883.0'83.03 ===

un VkNV >== 3.20571.274375.0 OK4>eRCIserIsKMrUtruss

eRCIserIsKMrUtruss RtIekaN. snt;facMnuc node eFVIGMeBIsitenAGkSTMr nigenAcMgay mm150 BI

EKm)at bEKmkMBUlFwm rUbTI8>26. KMrUstrut and tiepMeLIgedayGgt; tieAB mYynigGgt;strutBIrAD nig DB . dUcKa RbtikmenARtg;cMnuc A nigcMnuc B nigbnk uP Rtg;cMnuc D tMNagCastrutbBar.RbEvg strutGgt;RTUg mAD 52.2025.25.1 22 =+= yk CamMurvagGgt;strut nigGgt;tieenaH

7407.0025.2

5.1tan == enaH oo 265.36 >= OK

5>

KNnakMlaMgenAkgGgt; truss kMlaMgsgt;enAkgGgt;strut kNFFAD BDAD 6.2875

5.1

52.266.1711 ====

kMlaMgTajenAkgGgt; tie kNFAB AB 231152.2

025.26.2875 ===

6>KNnaersIusg;RbsiTPaB cef . snt;EdkTb; (confining reinforcement) RtUv)andak;edIm,IkarBarkMlaMgbMEbk (splitting force). Ggt;strut AD nig DB tMNageGayGgt;rgkarsgt;ragdb

(bottle-shape compression member) dUcenH 75.0=

s .MPaff csce 85.172875.085.0'85.0 ===


42/48


KNna nodal zone

k> KNnanodal zone

enAcMnucA

sn

t;fakMlaMgnnodal zone

mankugRtaMgdUcKaKWMPa85.17

ehIypEkgeTAnwgkMlaMgEdlRtUvKa

un FF b ucsce FAf Edl 75.0= sMrab; strut, tienig node.RbEvgnpedk ab rUbTI8>27 a esInwg

mmbfF ceu 284)45085.1775.0/(1066.1711)/(3 ==

BIFrNImaRt RbEvg mmac 38366.17112311

284 ==

dUcKa RbEvg mmbc 477

66.1711

6.2875284 ==


43/48

T.Chhay NPIC


TIRbCMuTMgn;rbs; nodal zonesitenA mm5.1912/383 = BI)atnFwm eyIg)ansnt; mm150 x> KNna nodal zoneenAcMnuc D rUbTI8>27bRbEvgnpedk ( ) mmde 56845085.1775.0/1032.3423 3 ==

RbEvgn mmefdf 47732.34236.2875

568 === RbEvgrbs; mmfg 383)

2

568(477 22 ==

dUcenH TIRbCMuTMgn;n nodal zonesitenA mm1283/383 = BIpxagelIrbs;FwmeyIg)ansnt;mm150

8>KNnaEdkQr nigEdkedkk> EdkQr mMurvagEdkQr nigGgt;strutKW o5.53 BIrUbTI 8>27 a. eRbIEdk 16DB EdlmanKMlat

mm300 / 22 4024

162 mmAs == eCIgBIr/ 804.05.53sin =o

0024.0804.0)300450/(402sin)/( ==issi SbA x> Edkedk mMurvagEdkedk nigGgt;strutKW o5.36 BIrUbTI 8>27 a. eRbIEdk 16DB EdlmanKMlat

mm300 / 22 4024

162 mmAs == eCIgBIr/ 595.05.36sin =o

0018.0595.0)300450/(402sin)/( ==issi SbA

K> issi SbA sin)/( srub 003.00042.00018.00024.0 >=+= OK9>KNnaGgt; tie edk AB

k> KNna sA

ysu fAF = ( ) 23 770340075.0/102311 mmAs == eRbI 3012DB 28482mmAs = dak;CabIbICYrdUcbgajkgrUbTI8>27 c.x> KNnaRbEvgf= dUcenHeRbITMBk; o90 cgPab;CamYyEdkssr

( ) cbyedh fdfl '/02.0 =


44/48



45/48

T.Chhay NPIC


]TahrN_7

eKmanFwmTMrsamBamYyEdlmanRbEvg m6 clear span rgnUvbnkBRgayefrmkN/5.47 nigbnkBRgayGefr mkN/25 . FwmenHmanmuxkat; cmb 35= nig cmd 55= .

FwmenHBRgwgedayEdk 254DB BRgaymYyCYr. cUrkMNt;nUvmuxkat;caM)ac;sMrab;kMlaMgkat;TTwg. smtikmMPaf c 28' = nig MPafyt 280= .


46/48

Department of Civil Engineering viTasanCatiBhubeckeTskm bnkemKuN bnkKNna

mkNLD /97256.15.472.16.12.1 =+=+

x> kMlaMgkat;TTwgKNnaenARtg;muxxagssrkNVu 291

2

697 ==

K> kMlaMgkat;TTwgKNnaenAcMgay dBIpxagssr

kNVud 65.237)9755.0(291 == X> ersIusg;kMlaMgkat;TTwgEdlTb;edayebtug

kNbdfV cc 2.1735503502817.0'17.0 === kNVc 130= kNVc 65

2

1=

g> kMlaMgkat;TTwgEdlEdkRtUvTb;

kNVV

V cus 5.14375.0

)2.17375.0(65.237=

=

=

c> cMgayBImuxpssrmk kNVc 652

1=

mx 33.23291

65291' =

=

q> KNnaEdkkg1>eRCIserIsEdk 10RB EdkkgmaneCIgBIr

22 1575.782 mmmmAv == mmmmm

V

dfAs

s

ytv6005.168

105.143

55028015731


47/48

T.Chhay NPIC


eday 1cs VV < dUcenHKMlatEdkGtibrmakMritRtwm mmd

s 2752

max ==

C> kMlaMgkat;TTwgEdlTb;edayEdksMrab;KMlat mmds 2752

max ==

kN

s

dfA275mmsforV

ytv

maxs 9.87

275

550280157)(

max

=

===

kNkNVs 94.659.8775.0 == cMgayBImuxTMr eTAdl;EdkkgEdlmanKMlat mms 275max=

mx 98.03291

)94.65130(2911 =

+=

dUcenH sMrab; m98.0 BImuxnTMr eRbIEdkkg 10RB KMlat mm160 nigsMrab;EpkenAsl; eRbIEdkkgGb,brma KMlatGtibrma

Q> karBRgayEdkkgEdkkg1 manKMlat mms 80

2=

Edkkg6 manKMlat mmmm 960160 = srub mmmm 98.004.11040 >= Edkkg6 manKMlat mmmm 1620270 = srub mmmm 366.22660


48/48


បេតុងពង្រឹងដោយដែក 8 viii-shear-and-diagonal-tension

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