Xvii design of two way slab

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karKNnakMralxNÐ½BIrTis 438

XVII. karKNnakMralxNÐ½BIrTis Design of Two-Way Slabs

1> esckþIepþIm Introduction

kMralxNÐ½GacRtUv)anBicarNaCaGgát;eRKOgbgÁúMEdlmankMras; h tUcCagRbEvg L nigTTwg S . TMrg;d¾samBaØrbs;kMralxNÐ½KWkMralxNÐ½EdlRtUv)anRTedayTMrQmKña Edlvapþl;nUvPaBdabcMbgkñúg TismYy EdleKeGayeQ μaHfa kMralxNÐ½mYyTis (one-way slab). karKNnakMralxNÐ½mYyTisman niyayenAkñúgemeronTI 9. enAeBlkMralxNÐ½RtUv)anRTedayRCugTaMgbYn nigmanpleFobbeNþay L elITTwg S tUcCag BIr ehIykMralxNÐ½dabBIrTis elIsBIenHbnÞúkenAelIkMralxNÐ½RtUv)anbBa¢ÚneTATMrTaMgbYnRCug. kMral xNÐ½EbenHRtUv)aneKeGayeQ μaHfa kMralxNÐ½BIrTis (two-way slab). m:Um:g;Bt; nigPaBdabenAkñúgkM ralxNÐ½EbbenHtUcCagenAkñúgkMralxNÐ½mYyTis kMralxNÐ½dUcKñaGacRTbnÞúk)aneRcInCagenAeBlEdl vamanTMrTaMgbYnRCug. bnÞúkenAkñúgkrNIenHRtUv)anRTBIrTis ehIym:Um:g;Bt;kñúgTisnImYy²tUcCagm:Um:g; Bt;enAkñúgkMralxNÐ½RbsinebIbnÞúkrbs;vaRtUv)anRTkñúgTisEtmYy. kartMerob rt-Fñwm-kMralxNÐ½ (slab-

beam-girder) KMrUénkMralxNÐ½mYyTis nigBIrTisRtUv)anbgðajenAkñúgrUbTI 17>1.

2> RbePTkMralxNÐ½BIrTis Types of Two-Way Slabs

kMralxNÐ½ebtugBIrTisGacRtUv)ancat;cMNat;fñak;dUcxageRkam³

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a. kMralxNÐ½BIrTisenAelIFñwm (two-way slab on beam)³ krNIenHekItmanenAeBlEdlkMral xNÐ½BIrTisRtUv)anRTedayFñwmenAelIRCugTaMgGs;rbs;va ¬rUbTI17>1¦. bnÞúkBIkMralxNÐ½RtUv bBa¢ÚneTATMrFñwmTaMgbYnrbs;va EdlnwgbBa¢ÚnbnÞúkbnþeTAssr.

b. Flat slab³ CakMralxNÐ½BIrTisEdlRtUv)anBRgwgBIrTisedayKñanFñwmRT ehIybnÞúkRtUv)anbBa¢Ún pÞal;eTAssrTMr. ssrcg;TMluHkMralxNÐ½ EdlRtUv)ankarBaredaybIviFIxageRkam ¬rUbTI 17>2 nig 17>3¦³ - edayeRbI drop panel CamYynwg column capital. - edayeRbI drop panel EdlK μan column capital. ebtugEdlBT§½CMuvij column capital KYr

EtRkas;RKb;RKan;edIm,ITb;Tl;nwgkugRtaMgTajGgát;RTUgEdlekItBIkMlaMgkat; punching

shear. - edayeRbI column capital edayK μan drop panel EdlCaviFImYyminFmμta.

c. Flat-Plate floor³ CaRbBn§½kMralxNÐ½BIrTisEdlmankMras;kMralxNÐ½es μ I nigsßitenABIelIssr edaypÞal;edayK μanFñwm b¤ column capital ¬rUbTI 17>2 a¦. kñúgkrNIenHssrcg;TMluHkMral xNÐ½edaykugRtaMgTajGgát;RTUg. dUcenH CaTUeTAeKRtUvkarbegáInkMras;kMralxNÐ½ b¤dak;Edk Biess.

d. Two-way ribbed slabs nig waffle slab system³ kMralxNÐ½RbePTenHekItBIkMralxNÐ½Edl manpleFobbeNþayelITTwgtUcCag 2. CaTUeTAkMras;rbs;kMralxNÐ½sßitenAcenøaH cm5 eTA

cm10 nigRtUv)anRTedayrnUt (rib or joist) TaMgBIrTis. rnUtRtUv)antMerobkñúgTisnImYy²Ca mYyKMlatRbEhlBI cmcm 7550 − EdlbegáItragkaer b¤ctuekaNEkg ¬rUbTI 17>2 c¦. rnUt k¾GacRtUv)antMerobedaymMu o45 b¤ o60 BIGkS½rbs;kMralxNÐ½ EdlbegáInesaPNÐ½PaBsßabtü-km μ. sMrab; two-way ribbed slabs RbBn§½epSg²GacRtUv)anTTYlyk³ - RbBn§½rnUtBIrTisCamYynwgRbehagcenøaHrnUtEdlTTYledayeRbIBum<Biess EdlCaTUeTA

manragkaer. rnUtRtUv)anRTedayrtTaMgbYnRCugEdlsßitenABIelIssr. kMralxNÐ½RbePT enHRtUv)aneKeGayeQ μaHfa two-way ribbed (joist) slab system .

- RbBn§½rnUtBIrTisCamYyeRKOgbMeBj (filler) enAcenøaHrnUtEdleFVIeGayBidanerobesμ I. eKOgbMeBj (filler) CagRbehag nigeFVIBIebtugTMgn;Rsal b¤TMgn;Fmμta b¤BIsMPar³TMgn; RsalepSgeTot. rnUtRtUv)anRTedayrtenARCugTaMgbYnEdlRtUv)anRTbnþedayssr.

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kMralxNÐ½RbePTenHk¾RtUv)aneKeGayeQ μaHfa two-way ribbed slab system b¤ hollow-

block two-way ribbed system . - RbBn§½rnUtBIrTisCamYyRbehagcenøaHrnUt nigK μanrt b¤FñwmRTrnUt. vaQrenAelIssreday

pÞal;CamYynwgbnÞHebtugtan;. kMralxNÐ½RbePTenHRtUv)anehAfa waffle slab.

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3> kareRCIserIsRbBn§½kMralxNÐ½ebtugEdlmanlkçN³esdækic© Economical Choice of Concrete Floor Systems

RbBn§½kMralxNÐ½CaeRcInRbePTRtUv)aneRbIsMrab;GKarTUeTA dUcCa eKhdæan kariyal½y nigGKar rdæ)alepSg². kareRCIserIsRbBn§½kMralxNÐ½EdlmanlkçN³kMralxNÐ½ nigRKb;RKan;GaRs½yelIRbePT GKar/ rUbragsßabtükmμ/ esaPNÐ½ nigRbEvgElVgEdlenAcenøaHssr. CaTUeTA bnÞúkGefrenAelIGKar ERbRbYlcenøaHBI 22 /2.7/8.3 mkNmkN − . karENnaMTUeTAsMrab;kareRbIR)as;RbBn§½kMralxNÐ½Edl manlkçN³esdækic©RtUv)ansegçbdUcxageRkam³

- Flat plate ³ saksmbMputsMrab;ElVgEdlmanRbEvgcenøaHBI mm 5.76 − nigbnÞúkGefrERb RbYlBI 22 /8.4/9.2 mkNmkN − . GtßRbeyaCn_énkarTTYlyk flat plate rYmmankarcM NayelIBum<Gs;éføefak TTYl)anBidanrabes μI nigkarsagsg;qab;. Flat plate manlT§PaB Tb;kMlaMgkat;TTWgTab nigPaBrwgRkajtUc EdleFIVeGaymanPaBdabFM;. Flat plate RtUv)an eRbIy:agTUlMTUlayenAkñúgGKarCakMralxNÐ½BRgwgedayEdk b¤k¾ebtugeRbkugRtaMg.

- Flat slab ³ saksmbMputsMrab;ElVgEdlmanRbEvgBI mm 96 − nigsMrab;bnÞúkGefrERbRbYlBI 22 /2.7/8.3 mkNmkN − . vaRtUvkarBum<eRcInCag flat plate CaBiesssMrab; column capital.

kñúgkrNICaeRcIn eKeRbIEt drop panel edayK μan column capital . - Waffle slab ³ saksmsMrab;ElVgEdlmanRbEvgBI mm 5.149 − nigsMrab;bnÞúkGefrERbRbYl

BI 22 /2.7/8.3 mkNmkN − . vaRTbnÞúk)aneRcInCag flat plate nigmanBidanKYreGayTak; TajEtBum<mantMéléfø.

- kMralxNÐ½elIFñwm (slab on beam)³ salsmbMputsMrab;ElVgcenøaH mm 96 − nigbnÞúkGefrBI 22 /7.5/9.2 mkNmkN − . FñwmbegáInPaBrwgRkajrbs;kMralxNÐ½EdleFVIeGaymanPaBdab

tUc. eKRtUvkarBum<bEnßmsMrab;Fñwm. - kMralxNÐ½mYyTisenAelIFñwm (one-way slab on beam)³saksmbMputsMrab;ElVgEdlmanRb

EvgBI mm 63 − nigbnÞúkGefrcenøaHBI 22 /8.4/9.2 mkNmkN − . vaGacRtUv)aneRbIsMrab; ElVgFMCagenHCamYynwgtMéléføCag elIsBIenHeKnwgTTYl)anPaBdabFM. eKRtUvkarBum<bEnßm sMrab;Fñwm.

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- One-way joist floor system³ saksmbMputsMrab;ElVgEdlmanRbEvgBI mm 96 − nigman bnÞúkGefrcenøaH 22 /7.5/8.3 mkNmkN − . edaysarEtrnUteRCA brimaNebtug nigEdkKWtic EtkarcMNayelIBum<Gs;eRcIn. Bidanrbs;kMralxNÐ½GacnwgemIleTAKYreGayTak;Taj.

4> eKalKMnitkñúgkarKNna Design Concept

karviPaKd¾suRkitsMrab;kMlaMg nigbMlas;TIenAkñúgkMralxNÐ½BIrTisKWs μ úKsμaj edaysarEtPaB minkMNt;x<s;. vaBitCasμ úKsμajebIeTaHbICa\T§iBl creep nig nonlinear behavior rbs;ebtugRtUv)an ecalk¾eday. viFI numerical method dUcCa finite element k¾GacRtUv)aneRbI b:uEnþviFId¾samBaØdUcEdl GVI)anbgðajeday ACI Code saksmbMputsMrab;karKNnasMrab;karGnuvtþn_. ACI Code, Chapter

13 sn μt;fakMralxNÐ½eFVIkarCaFñwmTUlay Etrak;begáItCaeRKagrwg (rigid frame) CamYynwgssrEdlenA BIeRkam nigBIelIva. karsn μt;énkarEckeRKagCaeRKagsmmUlRtUv)anepÞógpÞat;eLIgvijedaykarsikSa RsavRCavCalkçN³viPaK nigBiesaFn_ (analytical and experimental research). va)anbgðajfa lT§-PaBRTbnÞúkcugeRkay (ultimate load capacity) énkMralxNÐ½BIrTisCamYynwgkarTb;tamRCug ¬restrained boundary) KWes μ I RbEhlBIdgénlT§PaBRTbnÞúkcugeRkayEdlKNnaedaykarviPaKtam RTwsþI edaysarkarEbgEckm:U- m:g;eLIgvijd¾FMEdlekIteLIgenAkñúgkMralxNÐ½munnwg)ak;. enAeBlbnÞúk FM bMlas;TI nigPaBdabFMRtUv)anrMBwgTuk dUcenHeKRtUvkarkMras;kMralxNÐ½Gb,brmaedIm,IrkSaPaBdab niglkçxNÐeRbHRKb;RKan; eRkambnÞúkeFVIkar. ACI Code kMNt;viFIsaRsþBIrsMrab;KNnakMralxNÐ½BIrTis³

- viFIKNnaedaypÞal; (direct design method DDM, ACI Code, Section 13.6) CaviFIRbhak; RbEhl (approximate procedure) sMrab;karviPaK nigkarKNnakMralxNÐ½BIrTis. RtUv)ankM Nt;sMrab;RbBn§½kMralxNÐ½EdlrgnUvbnÞúkBRgayes μ I nigssrmanKMlatesμIKña b¤esÞIres μIKña. viFI enHeRbInUvsMnuMemKuNedIm,IkMNt;m:Um:g;KNnaenARtg;muxkat;eRKaHfñak;. RbBn§½kMralxNÐ½Edlmin RtUvKñanwgkarkMNt;rbs; ACI Code, Section 13.6.1 RtUv)anviPaKedayviFIsaRsþKNnaEdl manlkçN³suRkitCag.

- viFIeRKagsmmUl (equivalent frame method EFM, ACI Code, Section 13.7) CaviFImYy EdlGKarbITMhM (3D) RtUv)anEckecjCaesrIéneRKagsmmUlBIrTMhM (2D) edaykat;GKar

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tamExSrcenøaHssr. lT§plrbs;eRKagRtUv)anBicarNadac;edayELkBIKñatamTisbeNþay nigTisTTwgrbs;GKar nigRtUv)anKitBImYyCan;eTAmYyCan; dUcEdlbgðajenAkñúgrUbTI 17>4.

viFIsaRsþKNnatam ACI Code BIrKWQrelIelIlT§plénkarviPaKeGLasÞic (elastic analysis) én eRKOgbgÁúMTaMgmUledayeRbIbnÞúkemKuN. viFIEdlEktMrUv (modified approach) viFI direct design

method RtUv)anbgðajenAkñúg commentary én code qñaM 1989 CaviFIPaBrwgRkajEktMrUv (modified

stiffness method MSM). vaQrkarbBa©ÚlemKuNEbgEckd¾kMNt;mYyCaGnuKmn_énpleFobPaB rwgRkaj ecα sMrab;KuNnwgm:Um:g;sþaTicsrubenAkñúgElVgxagcug. viFIenHRtUv)anBnül;enAeBleRkay.

bEnßmBIelI viFIrbs; ACI Code eKenAmanviFIepSg²CaeRcIneTotsMrab;KNna nigviPaKkMralxNÐ½. CalT§pl kMralxNÐ½nwgmanbrimaNEdkticCag b¤eRcInCag. viFIviPaK (analytical method) GacRtUv cat;cMNat;fñak;kñúgRkuménTMnak;TMngeKalrvagbnÞúk nigbMlas;TI CaeGLasÞic/ )aøsÞic nig nonlinear .

- enAkñúgkarviPaKeGLasÞic (elastic analysis) kMralxNÐ½ebtugRtUv)anKitCakMraleGLasÞic. karBt;kMlaMgkat;TTwg nigPaBdabRtUv)anKNnaedaysmIkarDIepr:g;EsülTI4 (fourth

differential equation) EdlTak;TgbnÞúkeTAnwgPaBdabsMrab;kMralesþIgCamYynwgbMlas;TItUc dUcEdl)anbgðaj eday Timoshenko. dMeNaHRsay finite difference solution k¾dUcCadM eNaHRsay finite element solution RtUv)anesñIeLIgedIm,IviPaKkMralxNÐ½. enAkñúgviFI finite

element method kMralxNÐ½RtUv)an EbgEckCasMNaj;ragRtIekaN b¤ragkaer (mesh of

triangles or quadrilateral). GnuKmn_bMlas;TIén cMnuc (node) Edlkat;KñaedaycMnucsMNaj; (intersecting mesh point) RtUv)anbegáIteLIgCaTUeTA ehIym:aRTicénPaBrwgRkaj (stiffness

matrices) RtUv)anbegáItsMrab;karviPaKedaykMuBüÚTr½. - sMrab;karviPaK)aøsÞic eKmanbIviFI. viFI yield line method RtUv)anbegáIteLIgeday Johansen

edIm,IkMNt;sßanPaB (limit state) énkMralxNÐ½edayBicarNafa yield line EdlekItmanenA kñúgkMralxNÐ½Caemkanicénkar)ak; (collapse mechanism). viFIcMerok (strip method) RtUv)an begáIteday Hillerborg. kMralxNÐ½RtUv)anEckecjCacMerok (strip) ehIybnÞúkenAelIkMral xNÐ½RtUv)anEbgEckTisedABIrEkgKña. cMerokRtUv)anviPaKCaFñwmsamBaØ. viFITIbICaviFI optimal

analysis method sMrab;eFVIeGaybrimaNEdlTTYl)anmantMélGb,brmaedayQrelIkarvi PaK)aøsÞic. dMeNaHRsay optimal solution KWs μúKsμajkñúgkarviPaK nigTTYl)ankarBRgay srésEdlmYyd¾sμ úKsμaj.

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- karviPaK nonlinear analysis KitlkçN³bMlas;TIeRkambnÞúkBiténkMralxNÐ½ebtugGarem: enA eBlEdlviFI finite element method KitBicarNaEpñk nonlinear énTMnak;TMngkugRtaMg-bMEr bMrYlrageFob (stress-strain relationship) énGgát;mYy²dac;edayELkBIKña. kñúgkrNIenH dMeNaHRsaykøayCasμ úKsμaj RbsinebITMnak;TMngEdl)anBIkarBiesaFn_edayTTYl)ankar sMrYlminRtUv)ansnμt;eTenaH.

viFIEdl)anerobrab;xagelI RtUv)anbgðajedIm,IENnaMGñksikSanUvviFIepSg²énkarviPaKkMralxNÐ½. kargarBiesaFn_elIkMralxNÐ½minRtUv)anGPivDÄeTkñúgb:unμanqñaMcugeRkayenH b:uEnþkarsikSaCaeRcInRb-EhlCaRtUvkaredIm,IsMrYldMeNIrkarKNnabc©úb,nñCamYysuvtßiPaB karbMerIkargar niglkçN³esdækic¢.

5> cMerokelIssr nigcMerokkNþal Column and Middle Strips

rUbTI 17>5 bgðajkMralxagkñúgénkMralxNÐ½BIrTisEdlRtUv)anRTenAelIssr A / B / C nig D . RbsinebIkMralRTbnÞúkBRgayes μ I kMralxNÐ½nwgdabBIrTis CamYyPaBdabGtibrmarnAtMbn;kNþal O . cMnucx<s;bMputsßitenAelIssr A / B / C nig D dUcenHEpñkénkMralxNÐ½EdlenACMuvijssrnwg manrage)a:g (convex shape). karpøas;bþÚrrUbragrbs;kMralxNÐ½bnþicmþg² ¬BIPaBe)a:genAelIssreTA rkPaBptenAkNþalkMral¦ eFVIeGayExSkaMnImYy²kat;Rtg;cMnucrbt;. muxkat;Rtg; O / E / F / G nig H nwgmanm:Um:g;Bt;viC¢man b:uEnþenAmþúMbrievNssrnwgmanm:Um:g;Bt;GviC¢manGtibrma. edayBicarNacM eroktambeNþay AFB cMeroknwgekagdUcFñwmCab; ¬rUbTI 17>5 b¦ edaymanm:Um:g;GviC¢manenARtg; A nig B nigmanm:Um:g;Bt;viC¢manRtg; F . cMerokenHlatsn§wgenAcenøaHssrBIr A nig B nigCab;enAelI RCugTaMgsgçagénkMral EdlbegáIt)anCacMErokelIssr (column strip). dUcKñasMrab;cMeroktambeNþay EOG nwgmanm:Um:g;Bt;GviC¢manenARtg; E nig G ehIym:Um:g; viC¢manenARtg; O EdlbegáItCacMerokkNþal. cMerokTIbItambeNþay DHC nwgeFVIkarRsedogKñanwgcM erok AFB . dUcenH bnÞHkMralGacnwgRtUv)anEbgEckbIcMerokKW 1enAkNþaltambeNþay EOG Edl eKeGayeQ μaHfacMerokkNþal nigBIreTotsgçagtambeNþay AFB nig DHC EdleKeGayeQ μaHfa cMerokelIssr ¬rUbTI 17>5 a¦. cMeroknImYy²eFVIkarCaFñwmCab;. tamviFIdUcKña bnÞHkMralk¾RtUv)anEbg EckCabIcMroksMrab;TisedAmYyeTotKW cMerokkNþalmYytambeNþay FOH nigcMerokelIssrBIreTot tambeNþay AED nig BGC erogKña ¬rUbTI 17>5 e¦.

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tamry³rUbTI 17>5 a eyIgeXIjfacMerokkNþalRtUv)anRTedaycMerokelIssr EdlbBa¢Ún bnÞúkbnþeTAssr A / B / C nig D enAkñúgbnÞHkMralenH. dUcenHcMerokssrRTbnÞúkeRcInCagcMerok kNþal. dUcenH m:Um:g;Bt;viC¢manenAkñúgcMerokelIssrnImYy² ¬enARtg; E / F / G nig H ¦ mantMél FMCagm:Um:g;Bt;viC¢manenARtg; O EdlsßitenAcMerokkNþal. dUcKña m:Um:g;GviC¢manenAelIssr A / B / C nig D enAkñúgcMerokelIssrmantMélFMCagm:Um:g;GviC¢manenARtg; E / F / G nig H enAkñúgcMerok kNþal. Epñkénm:Um:g;KNnaEdlRtUv)ankMNt;enAmuxkat;eRKaHfñak;nImYy²éncMerokssr nigcMerok kNþalRtUv)anbgðajenAkñúgEpñkTI 8.

TMhMéncMerokelIssr nigcMerokkNþslnImYy²enAkñúgbnÞHkMralRtUv)ankMNt;eday ACI Code,

Section 13.2. cMerokelIssr x EdlRtUv)ankMNt;edayTTwgkMralxNÐ½enAelIRCugnImYy²énGkS½

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ssr esμ InwgmYyPaKbYnénTMhMbnÞHkMral ¬ 1l nig 2l ¦ mYyNaEdltUcCageK rYmbBa©ÚlTaMgFñwmRbsinebI man. =1l RbEvgElVg KitBIGkS½eTAGkS½ kñúgTisedAEdlm:Um:g;nwgRtUv)ankMNt; =2l RbEvlElVg KitBIGkS½eTAGkS½ kñúgTisedAEkgnwg 1l EpñkénbnÞHkMralcenøaHcMerokelIssrkMNt;cMerokkNþal.

6> kMras;kMralGb,brmaedIm,IkMritPaBdab Minimum Slab Thickness to Control Deflection

ACI Code, Section 9.5.3 kMNt;kMras;kMralxNÐ½sMrab;kMralxNÐ½BIrTisedIm,IkMritPaBdab. TMhMénPaBdabrbs;kMralxNÐ½GaRs½ynwgGefrCaeRcInEdlrYmbBa©ÚlTaMgPaBrwgRkajTb;karBt; (flexural stiffness) rbs;kMralxNÐ½EdlbBa©ÚlCaGnuKmn_énkMras;kMralxNÐ½ h . enAeBlbegáInkMras; kMralxNÐ½ enaHPaBrwgRkajTb;karBt;rbs;kMralxNÐ½k¾ekIneLIg ehIyPaBdabrbs;kMralxNÐ½nwgRtUv kat;bnßy. edaysarkarKNnaPaBdabsMrab;kMralxNÐ½BIrTismanPaBs μ úKsμaj nigedIm,IeCosvagPaB dabFM ACI Code kMNt;kMras;kMralxNÐ½TaMgenHedayTTYlykkarkMNt;Edl)anBIkarBiesaFn_bI. Rb sinebIkarkMNt;rbs;eyIgminsßitenAkñúgEdnkMNt;TaMgbIenHeT eKcaM)ac;RtUvKNnaPaBdab.

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b:uEnþminRtUvtUcCag mm90 c. sMrab; 2.0<fmα

=h kMras;kMralxNÐ½Gb,brmaedayK μanFñwmxagkñúg ¬tarag 17>1¦ ¬!&>#¦ Edl =nl clear span sMrab;TisEvgEdlvas;BIépÞQmKñarbs;ssr =β pleFobén clear span EvgelI clear span xøI

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=fmα tMélmFümén fα sMrab;RKb;FñwménRCugTaMgGs;rbs;bnÞHkMral =fα CapleFobénPaBrwgRkajTb;karBt;énmuxkat;Fñwm bcb IE lIPaBrwgRkajTb;

karBt;énkMralxNÐ½ scs IE EdlBT§½CMuvijedayGkS½bnÞHkMralenABIelIFñwmRCug nImYy².

scs

bcbf IE

IE=α ¬!&>$¦

Edl cbE nig csE Cam:UDuleGLasÞicrbs;ebtugenAkñúgFñwm nigkMralxNÐ½ erogKña. =bI m:Um:g;niclPaBTaMgmUlénmuxkat;FñwmeFobGkS½TIRbCMuTMgn; ¬muxkat;FñwmrYmTaMg

beNþaykMralxNÐ½enAelIRCugTaMgsgçagrbs;FñwmEdlesμ InwgkMBs;FñwmBIelI b¤BI eRkamkMralxNÐ½ ykmYyNaEdlFMCageK b:uEnþminRtUvFMCagbYndgkMras;kMral xNÐ½¦.

=sI m:Um:g;niclPaBénmuxkat;kMralxNÐ½TaMgmUl. b:uEnþ kMras;kMralxNÐ½minKYrtUcCagtMélxageRkam³ - sMrab;kMralxNÐ½Edlman 0.2<fmα ³ mm125 - sMrab;kMralxNÐ½Edlman 2>fmα ³ mm90 tarag 17>1 kMras;kMralxNÐ½Gb,brmaedayK μanFñwmxagkñúg

edayK μan Drop Panel** man Drop Panel*** bnÞHkMralxageRkA bnÞHkMralxageRkA Yield

Stress yf * K μanFñwmxag manFñwmxag

bnÞHkMralxagkñúgK μanFñwmxag manFñwmxag

bnÞHkMralxagkñúg

280 33nl

36nl

36nl

36nl

40nl

40nl

420 30nl

33nl

33nl

33nl

36nl

36nl

* sMrab;EdkEdlman Yield Stress cenøaH 280 nig 420 kMras;Gb,brmaTTYl)anBI linear interpolation. ** Drop panel RtUv)ankMNt;enAkñúg ACI Sections 13.3.7.7 nig 13.3.7.2 *** kMralxNÐ½EdlmanFñwmcenøaHssrtambeNþayxagkñúg. tMélén fα sMrab;FñwmminKYrmantMéltUcCag 8.0 .

RbsinebIFñwmminRtUv)aneRbI dUckñúgkrNI flat plate enaH 0=fα nig 0=fmα . smIkar ACI

Code sMrab;KNnakMras;kMralxNÐ½ h )anKit\T§iBlrbs;RbEvgElVg/ TMrg;bnÞHkMral/ yield stress rbs;

T.Chhay NPIC


Edk yf nigPaBrwgRkajTb;karBt;rbs;Fñwm. enAeBlFñwmEdlmanlkçN³rwgxøaMgRtUv)aneRbI smIkar !&>! Gacpþl;nUvkMras;kMralxNÐ½tUc ehIysmIkar !&>@ Gaclub. sMrab; flat plate nig flat slab enAeBl EdlFñwmxagkñúgminRtUv)aneRbI kMras;kMralxNÐ½Gb,brmaGacRtUv)ankMNt;edaypÞal;BItarag 9>5 c én ACI Code EdlRtUv)anbgðajenATIenHKWtarag 17>1. karkMNt;rbs; ACI Code epSgeTotRtUv)ansegçbdUcxageRkam³

- sMrab;bnÞHkMralEdlmanxagminCab;; FñwmxagcugEdlman 8.0=α RtUv)aneRbI ebImindUcenHeT kMras;kMralxNÐ½Gb,brmaRtUv)anKNnatamsmIkar !&>! nig !&>@ RtUv)anbegáIn %10 y:ag tic ¬ ACI Code, Section 9.5.3 ¦.

- enAeBl drop panel RtUv)aneRbIedayK μanFñwm kMras;kMralxNÐ½Gb,brmaKYrRtUv)anbnßyeday %10 . drop panel KYrRtUv)anlatsn§wgRKb;TisBIGkS½rbs;TMredaycMgayminticCagRbEvg

ElVgelI 6 RKb;TiscenøaHGkS½eTAGkS½énTMr nigTMlak;cuHeRkamkMralxNÐ½y:agtic 4/h . kar bnßyenH)anrYmbBa©ÚleTAkñúgtaragTI 17>1.

- edayminKittMélEdlTTYl)anBIsmIkar !&>! nig !&>@ kMras;kMralxNÐ½BIrTisminRtUvtUcCagkrNIdUcteTA³ ¬!¦ mm125 sMrab;kMralxNÐ½EdlKμanFñwm b¤ drop panel. ¬@¦ mm100 sMrab;kMralxNÐ½K μanFñwmEtman drop panel. ¬#¦ mm90 sMrab; kMralxNÐ½manFñwmenAelIRCUgTaMgbYnCamYynwg 2≥fmα nig mm125 sMrab; 2≤fmα ¬ ACI

Code, Section 9.5.3¦. CMhanxageRkamsegçbBIkarKNnaTaMgenH³

!> sMrab;kMralxNÐ½EdlK μanFwñmxagkñúg ¬ flat plate nig flat slab¦ a. KNnakMras;kMralxNÐ½edaypÞal;BItarag 17>1. b:uEnþsmIkar !&>! nig !&>@ k¾GacRtUv)aneRbI

ehIyCaTUeTA smIkar !&>! lub. kMras;kMralxNÐ½Gb,brmaKYrFMCag b¤esμ Inwg mm125 sMrab;kMralxNÐ½EdlK μan drop panel nigFMCagb¤esμI mm100 sMrab;kMralxNÐ½Edlman drop

panel. b. enAxagEdlminCab; FñwmxagEdlman 8.0≥fα KYrRtUv)aneRbI. ebImindUecñaHeT kMras;kMral

xNÐ½Gb,brmaRtUv)anKNnaedaysmIkar !&>! nig !&>@ KYrRtUv)anbegáIneday %10 . kar begáIn %10 RtUv)anbBa©ÚleTAkñúgCYrQrTI 2 kñúgtaragTI 17>1 rYcehIy.

T.Chhay NPIC


c. RbsinebI drop panel RtUv)aneRbIenAkñúg flat slab kMras;kMralxNÐ½Gb,brmaRtUv)anbnßyeday %10 enAkñúgkrNIEdl drop panel latsn§wgenARKb;TisBIGkS½énTMrCamYycMgaymintUcCag 6/1 RbEvgElVg nigTMlak;eRkamkMralxNÐ½y:agtic 4/h . karbnßyenH)anbBa¢ÚleTAkñúgem

KuNéntarag 17>1. @> sMrab;kMralxNÐ½EdlmanFñwmenARKb;RCug ¬ 0>fmα ¦

a. KNna fmα nigbnÞab;mkKNnakMras;kMralxNÐ½Gb,brmaBIsmIkar !&>! nig !&>@. kñúgkrNI CaeRcInsmIkar !&>@ lub.

b. kMras;kMralxNÐ½KYrFMCag b¤esμ Inwg mm125 sMrab;kMralxNÐ½Edlman 0.2<fmα nigKYrFMCag b¤es μ Inwg mm90 sMrab;kMralxNÐ½Edlman 0.2≥fmα .

#> sMrab;RKb;kMralxNÐ½³ kMrs;kMralxNÐ½EdltUcCagkMras;Gb,brmaEdleGayenAkñúgCMhan !> nig @> GacRtUv)aneRbI RbsinkarKNnabgðajfaPaBdabminFMCagkarkMNt;rbs; ACI Code, Table 9.5

b EdlBnül;enAkñúgemeronTI 6. ]TahrN_17>1³ RbBn§½kMral flat plate EdlmanTMhM m65.7 × RtUv)anRTenAelIssrkaer mm500 . edayeRbIsmIkar ACI Code kMNt;kMras;kMralxNÐ½Gb,brmacaM)ac;sMrab;bnÞHkMralxagkñúg nigbnÞHkM ralkac;RCug dUcbgðajenAkñúgrUbTI 17>6. FñwmxagminRtUv)aneRbI. eKeGay MPaf c 28' = nig

MPaf y 420= . dMeNaHRsay³

1> sMrab;bnÞHkMralxNÐ½kac;RCugelx ! kMras;Gb,brmaKW 30

nl ¬ MPaf y 420= nigK μanFñwmxagRtUv)aneRbI ¬emIltarag 17>1¦.

mmln 700050075001 =−= mmh 233

307000

min == yk mm250 müa:gvijeTot smIkar !&>! nig !&>@ GacRtUv)aneRbIedIm,IKNnakMras;Gb,brmaCamYy

0== fmf αα . 2> sMrab;bnÞHkMralxagkñúgelx #> CamYy MPaf y 420= kMras;kMralxNÐ½Gb,brmaKW

mml

h n 21233min == yk mm220

müa:gvijeTot smIkar !&>! nig !&>@ GacRtUv)aneRbI.

T.Chhay NPIC


RbsinebIRKb;bnÞHkMralxNÐ½TaMgGs;eRbIkMras;dUcKña enaHeKGacyk mmh 250min = .

]TahrN_17>2³ RbBn§½kMralxNÐ½dUcbgðajenAkñúgrUbTI 17>7 EdlpSMeLIgedaykMraltan; nigFñwmenA elITaMgBIrTisEdlRTedayssrkaerEdlmanRCug mm500 . edayeRbIsmIkar ACI Code kMNt;kMras; kMralxNÐ½Gb,brmacaM)ac;sMrab;bnÞHkMralxagkñúg. eKeGay MPaf c 21' = nig MPaf y 420= . dMeNaHRsay³

1> edIm,IeRbIsmIkar !&>! fmα RtUv)anKNnamun. dUcenH eKcaM)ac;kMNt; bI / sI nig fα sMrab; Fñwm nigkMralxNÐ½tamTisEvg nigTisxøI.

2> m:Um:g;niclPaBrbs;FñwmTaMgmUl bI RtUv)anKNnasMrab;muxkat;dUcbgðajenAkñúgrUbTI 17>7 b EdlRtUv)anbegáIteLIgedayFñwm nigEpñksgçagxøHrbs;kMralxNÐ½ yx = b:uEnþminRtUvFMCag 4 bYndgkMras;kMralxNÐ½. sn μt; cmh 18= ehIyvaRtUv)anepÞógpÞat;enAeBleRkay enaH

cmcmyx 72418381856 =×<=−== . dUcenH cmbe 11623840 =×+= nigmuxkat;

T.Chhay NPIC


GkSr T RtUv)anbgðajenAkñúgrUbTI 17>7 c . kMNt;TIRbCMuTMgn;rbs;muxkat;edayKitm:Um:g;eFob kMBUlrbs;søab³ RkLaépÞsøab 2208811618 cm=×= RkLaépÞRTnug 215203840 cm=×= RkLaépÞsrub 23608cm

y360837152092088 =×+× cmy 8.20= ( ) ( ) ( ) 42323 6.9289248.219152038

12408.11208818

12116 cmIb =⎥⎦

⎤⎢⎣⎡ −++⎥⎦

⎤⎢⎣⎡ +=

3> m:Um:g;niclPaBénkMralxNÐ½tamTisedAEvgKW

12

3bhIl = Edl cmb 600= nig cmh 18= 43 29160018

12600 cmIl ==

T.Chhay NPIC


flα ¬tamTisedAEvg¦ 19.3291600

6.928924===

s

bEIEI

4> m:Um:g;niclPaBénkMralxNÐ½tamTisedAxøIKW 43 36936018

12760 cmI s ==

fsα ¬tamTisedAxøI¦ 51.2369360

6.928924===

s

bEIEI

5> fmα CatMélmFümén fsα nig flα 85.2

251.219.3

=+

=fmα 6> 29.1

5.065.06.7=

−−

=β 7> kMNt; minh edayeRbIsmIkar !&>@ ¬ mln 1.7= ¦³

( ) mh 148.02.082.229.1536

14004208.01.7

min =−×+

⎟⎠⎞

⎜⎝⎛ +

=

b:uEnþ tMélenHminRtUvtUcCag h EdleGayedaysmIkar !&>@ ¬ 0.2>fmα ¦ mh 164.0

29.193681.7

=×+

= müa:geTot cmh 90min = . dUcenH cmh 4.16= lub. eKGacTTYlykkMras;kMralxNÐ½Edl)ansn μt; cmh 18= . cMNaMfa enAkñúgkrNIGnuvtþn_CaeRcIn smIkar !&>@ manlkçN³lub.

7> ersIusþg;kMlaMgkat;TTwgrbs;kMralxNÐ½ Shear Strength of Slabs

sMrab;RbBn§½kMralxNÐ½BIrTis bnÞHkMralRtUvEtmankMras;RKb;RKan;edIm,ITb;nwgm:Um:g;Bt;TaMgBIr nigkMlaMgkat;TTwgenARtg;muxkat;eRKaHfñak;. edIm,IGegátlT§PaBTb;kMlaMgkat;TTwgénkMralxNÐ½BIrTis krNIxageRkamRtUv)anBicarNa.

7>1> kMralxNÐ½BIrTisEdlRTedayFñwm Two-Way Slabs Supported on Beams muxkat;eRKaHfñak;rbs;kMralxNÐ½BIrTisEdlRTedayFñwmKWsßitenAcMgay d BIépÞénFñwmTMr ehIy lT§PaBTb;kMlaMgkat;TTwgénmuxkat;nImYy²KW 6/' bdfV cc φφ = . enAeBlEdlFñwmmanlkçN³rwg nigGacbBa¢ÚnbnÞúkkMraleTAssr vaRtUv)ansnμt;eGayRTbnÞúkEdleFVIGMeBImkelIépÞkMralxNÐ½EdlBT§½

T.Chhay NPIC


edaybnÞat; o45 EdlKUsecjBIRCugEkg dUcbgðajenAkñúgrUbTI 17>8. bnÞúkenAelIépÞctuekaNBñaynwg RtUv)anRTedayFñwmEvg AB nig CD b:uEnþbnÞúkenAelIépÞRtIekaNnwgRtUv)anRTedayFñwmxøI AC nig BD .

kMlaMgkat;TTwgkñúgmYyÉktþaTTwgrbs;kMralmantMélx<s;bMputenAcenøaH E nig F tamTis

TaMgBIr ehIy )2/( 2lwV uu = Edl uw CabnÞúkemKuNBRgayes μ IkñúgmYyÉktþaépÞ. RbsinebIEdkTb;kMlaMgkat;TTwgminRtUv)andak; kMlaMgkat;TTwgenAcMgay d BIépÞénFñwm

udV RtUvEtesμ Inwg

6' bdf

VV ccud

φφ ≤≤

Edl ⎟⎠⎞

⎜⎝⎛ −= dlwV uud 2

2

7>2> kMralxNÐ½BIrTisEdlK μanFñwm Two-Way Slabs Without Beams Flat plate nig flat slab K μanFñwmeT dUcenHkMralxNÐ½RtUv)anRTedayssredaypÞal;. sMrab;kM

ralxNÐ½EbbenHkugRtaMgkMlaMgkat;TTwgBIrRtUv)aneFVIkarGegát TImYyKWkMlaMgkat;TTwgmYyTis b¤kMlaMg kat;TTwgFñwm (one-way shear or beam shear). muxkat;eRKaHfñak;RtUv)anykenAcMgay d BIépÞén ssr ehIykMralxNÐ½RtUv)anBicarNadUcFñwmEdlmanTTwgFMsßitenAcenøaHTMr dUckñúgkrNIFñwmmYyTis

T.Chhay NPIC


(one-way beam). lT§PaBTb;kMlaMgkat;TTwgénmuxkat;ebtugKW 6/' bdfV cc φφ = . RbePTTIBIrén kMlaMgkat;TTwgEdlRtUvsikSaKWkMlaMgkat;TTwgBIrTis b¤kMlaMgkat;pug (two-way shear or punching

shear) dUcEdl)anerobrab;enAkñúgkarKNnaeCIgtag. Kar)ak;edaykMlaMgkat;ekItmantambeNþaykM Nat;ekaN b¤kMNat;BIra:mIt (truncated cone or pyramid) CMuvijssr. muxkat;eRKaHfñak;sßitenAcM gay 2/d BIépÞssr/ column capital/ b¤ drop panel ¬rUbTI 17>9 a¦. RbsinebIEdkkMlaMgkat;TTwg minRtUv)andak; ersIusþg;kMlaMgkat;TTwgrbs;ebtugKWtMélEdltUcCageKkñúgcMeNamsmIkar !&>% nig !&>^³

3'

'31

61 dbf

dbfV ococc

φβ

φ ≤⎟⎟⎠

⎞⎜⎜⎝

⎛+= ¬!&>%¦

Edl =ob brimaRténmuxkat;eRKaHfñak; =β pleFobénRCugEvgrbs;ssrelIRCugxøI ¬b¤RkLaépÞbnÞúk¦ dbf

bd

V oco

sc '2

12 ⎟⎟⎠

⎞⎜⎜⎝

⎛+=

αφφ ¬!&>^¦

Edl sα esμ I 40 sMrab;ssrxagkñúg/ esμI 30 sMrab;;ssrxag nigesμ I 20 sMrab;ssrkac;RCug. enAeBlEdlEdkkMlaMgkat;TTwgRtUv)andak; ersIusþg;kMlaMgkat;TTwgminKYrelIs dbfV occ '

2φφ ≤ ¬!&>&¦

7>3> EdkkMlaMgkat;TTWgenAkñúgkMralxNÐ½BIrTisEdlK μanFñwm Shear Reinforcement in

Two-Way Slabs Without Beams enAkñúgRbBn§½kMralxNÐ½ flat plate nig flat slab kMras;kMralxNÐ½Edl)aneRCIserIsGacnwgmin

RKb;RKan;edIm,ITb;nwgkugRtaMgkMlaMgkat;TTwgEdlGnuvtþeT. kñúgkrNIenH eKGacbegáInkMras;kMralxNÐ½ b¤dak;EdkTb;kMlaMgkat;TTwg. ACI Code GnuBaØatkareRbIEdkTb;kMlaMgkat;TTwgCa shearhead nig anchored bar b¤ wire.

Shearhead pSMeLIgedayEdkragGkSr I b¤GkSr C EdlpSarExVgCabYn nigRtUv)andak;enAkñúgkM ralxNÐ½BIelIssr ¬rUbTI 17>9 c, d ¦. karKNna Shearhead minGnuvtþsMrab;ssrxageRkA Edlm:U m:g;Bt; nigm:Um:g;rmYlmantMélFMEdlRtUv)anbMElgcenøaHkMralxNÐ½ nigssr. ACI Code, Section

11.12.4 bgðajfaenARtg;muxkat;eRKaHfñak; ersIusþg;kMlaMgkat; nominal nV minKYelIs 3/' dbf oc b:uEnþRbsin ebIEdk shearhead RtUv)andak; nV minKYrelIs 12/'7 dbf oc . edIm,IkMNt;TMhMrbs; shearhead, ACI Code, Section 11.12.4 pþl;nUvkarkMNt;dUcteTA³

T.Chhay NPIC


T.Chhay NPIC


!> pleFob vα rvagPaBrwgRkaj IEs rbs;éd shearhead nigPaBrwgRkajénmuxkat;EdleRbH smasEdlmanTTWg dc +2 minRtUvtUcCag 15.0 .

@> søabrgkarsgát;énEdkragminRtUvmanTItaMgenAmþúM d13.0 énépÞrgkarsgát;rbs;kMralxNÐ½. #> kMBs;rbs;EdkragminRtUvFMCag 70 énkMras;RTnug. $> lT§PaBTb;m:Um:g;)aøsÞic PM énédnImYy²rbs; shearhead RtUv)anKNnaeday

⎥⎦

⎤⎢⎣

⎡⎟⎠⎞

⎜⎝⎛ ++=

221c

lhn

VM vvv

uP αφ ¬ACI Code, Eq. 11.37 ¦ ¬!&>*¦

Edl 9.0=φ =uV kMlaMgkat;TTwgemKuNCMuvijbrievNénépÞssr n = cMnYnéd =vh kMBs;rbs; shearhead =vl RbEvg shearhead Edlvas;BIGkS½ssr

%> muxkat;kMralxNÐ½eRKaHfñak;sMrab;kMlaMgkat;TTWgRtUvEtkat;éd shearhead enAcMgayesμ Inwg )2/)(4/3( 1clv − BIépÞssreTcugénédrbs; shearhead dUcbgðajenAkñúgrUbTI 17>9 c.

muxkat;eRKaHfñak;RtUvEtmanbrimaRtGb,brma ob b:uEnþvaminRtUvenACitCag 2/d BIépÞrbs;sse. ^> Shearhead RtUv)anBicarNaeGaycUlrYmkñúgkarEbgEckm:Um:g;eLIgvij

vM eTAcMerokkMralxNÐ½elIssrnImYy²dUcxageRkam³ ⎟

⎠⎞

⎜⎝⎛=

221clV

nM vuvv αφ ¬ACI Code, Eq. 11.38¦ ¬!&>(¦

b:uEnþvaminRtUvtUcCagtMéltUcCageKkñúgcMeNam %30 énm:Um:g;emKuNEdlcaM)ac;enAkñúgcMerok elIssr/ karpøas;bþÚrm:Um:g;cMerokelIssrelIRbEvg vl b¤ pM EdleGayenAkñúgsmIkar !&>*.

kareRbI anchored bent bar b¤ wire k¾RtUv)anGnuBaØateday ACI Code, Section 11.12.3. Edk Edldak;enAxagEpñkxagelIrbs;ssr niglT§PaBékartMerobEdkRtUv)anbgðajenAkñúgrUbTI 17>9 e. enAeBlEdl bar b¤ wire RtUv)aneRbICaEdkTb;kMlaMgkat;TTwg enaHersIusþg;kMlaMgkat;TTWg nominal

KW³

sdfAdbf

VVV yvocscn +=+=

6' ¬!&>!0¦

Edl vA CaRkLaépÞEdkkgsrub nig ob CaRbEvgénmuxkat;eRKaHfñak;énkMlaMgkat;BIrTisenA cMgay 2/d BIépÞssr. ersIusþg;kMlaMgkat; nominal nV minRtUvFMCag 2/' dbf oc .

T.Chhay NPIC


kareRbIEdkkMlaMgkat;enAkñúg flat plate kat;bnßykMras;kMralxNÐ½ nigenAEtrkSaPaBrabesμ I rbs;BidanedIm,Ikat;bnßyéføBum<. TMrg; stirrup cage sMrab;EdkkMlaMgkat;TTwgRtUv)anbgðajenAkñúgrUbTI 17>9 f . RbePTmü:ageToténEdkkMlaMgkat;pSMeLIgeday studded steel strip ¬rUbTI 17>9 g¦. Steel strip RtUv)andak;CamYy bar chair nigRtUv)anP¢ab;eTAnwgBum< edayCMnYs stirrup gage . ersIusþg; yalrbs;Edk stud RtUv)ankMNt;enAcenøaH MPa280 nig MPa420 edIm,ITTYl)an anchorage eBj eljenAeBlbnÞúkemKuN.

8> karviPaK³nkMralxNÐ½BIrTisedayviFIKNnaedaypÞal; Analysis of Two-Way Slabs by the Direct Design Method

Direct design method CaviFIRbhak;RbEhl (approximate method) RtUv)anbegáIteLIgeday ACI Code edIm,IKNnam:Um:g;KNnaenAkñúgkMralxNÐ½BIrTisEdlRTbnÞúkBRgayes μ I. edIm,IeRbIviFIenH kar kMNt;xøHRtUv)anelIkeLIgeday ACI Code, Section 13.6.1.

8>1> karkMNt; Limitations !> vaRtUvmankMralxNÐ½Cab;Kñay:agticbIkñúgTismYy² @> kMralxNÐ½RtUvEtkaer b¤ctuekaNEkg. pleFobElVgEvgelIElVgxøIrbs;kMralminRtUvFMCagBIr #> ElVgEdlenAEk,rkñúgTisnImYy²minRtUvxusKñaedayFMCagmYyPaKbIénElVgEvgCag. $> ssrminRtUvlyecjBIGkS½ssrd¾éTCaeRcIneTotedaytMélGtibrma %10 énRbEvgElVg

enAkñúgTislyecj. %> bnÞúkTaMgGs;RtUvEtBRgayes μ I ehIypleFobénbnÞúkGefrelIbnÞúkefrminRtUvFMCag 2 . ^> RbsinebImanFñwmenARKb;RCug pleFobénPaBrwgRkajEdlTak;TgkñúgTisEkgTaMgBI

212

221 / ll ff αα minRtUvtUcCag 2.0 nigFMCag 0.5 .

8>2> m:Um:g;sþaTicemKuNsrub Total Factored Static Moment RbsinFñwmTMrsamBaØRTbnÞúkBRgayes μ I w ¬ mkN / ¦ enaHm:Um:g;Bt;viC¢manGtibrmaekItmanenA

kNþalElVgniges μ Inwg 8/21wlM o = Edl 1l CaRbEvgElVg. RbsinebIRtUv)anbgáb;cugTaMgsgçag b¤

Cab;CamYynwg m:Um:g;GviC¢manesμ IKñaenAcugTaMgsgçag enaHm:Um:g;srub po MM = ¬m:Um:g;viC¢manenAkNþalElVg¦ nM+ ¬m:Um:g;GviC¢manenAelITMr¦ 8/2

1wl= ¬rUbTI 17>10¦.

T.Chhay NPIC


\LÚvRbsinebIFñwm AB RTbnÞúk W BIkMralxNÐ½EdlmanTTwg 2l Ekgnwg 1l enaH 2lwW u= ehIy m:Um:g;srubKW ( ) 8/2

12 lwlM o = Edl =uw GaMgtg;sIuetbnÞúkKitCa 2/ mkN . kñúgsmIkarenH m:Um:g;BitR)akdEdlekItmanenAeBl 1l esμ Inwg clear span cenøaHTMr A nig B . RbsinebI clear span RtUv)ankMNt;eday nl enaH

( )8

2

2n

uol

lwM = (ACI Code, Eq. 13.3)

Clear span nl RtUv)anvas;BIépÞeTAépÞTMrkñúgTisedAEdlm:Um:g;RtUv)anBicarNa b:uEnþminRtUvticCag 65.0 dgRbEvgElVgBIGkS½eTAGkS½TMr. épÞénTMrEdlmanm:Um:g;GviC¢manKYrRtUv)anKNna RtUv)anbgðaj

enAkñúgrUbTI 17>11. RbEvg 2l RtUv)anvas;kñúgTisedAEkgnwg nl ehIyesμ ITisedAcenøaHGkS½eTAGkS½ rbs;TMr ¬TTwgkMralxNÐ½¦. m:Um:g;srub oM EdlKNnakñúgTisedAEvgRtUv)anKitCa olM nigkñúgTisedA xøIRtuv)anKitCa osM .

enAeBlm:Um:gsrub oM RtUv)anKNnakñúgTisedAmYy vaRtUvEbgEckCam:Um:g;viC¢man pM nigm:U m:g;GviC¢man nM GBa¢wgehIyeTIb npo MMM += ¬rUbTI 17>10¦. enaHm:Um:g;nImYy² pM nig

nM RtUv)anEbgEckqøgkat;TTwgkMralxNÐ½cenøaHcMerokssr nigcMerokkNþal dUcEdl)anBnül;y:agxøI. 8>3> karEbgEckm:Um:g;tambeNþaykñúgkMralxNÐ½ Longitudinal Distribution of

Moment in Slabs enAkñúgkMralxagkñúg m:Um:g;sþaTicsrub oM RtUv)anEbgEckenAkñúgm:Um:g;BIr m:Um:g;viC¢man pM enA

kNþalElVgesμ Inwg oM35.0 nigm:Um:g;GviC¢man nM enATMrnImYy²esμ Inwg oM65.0 dUcbgðajenAkñúgrUbTI 17>12. tMélm:Um:g;TaMgenHQrelIkarsn μt;fakMralxagkñúgCab;kñúgTisTaMgBIr ehIymanRbEvgElVg

T.Chhay NPIC


nigbnÞúkRbhak;RbEhles μIKña dUcenHtMNxagkñúgKμanmMurgVilFMeT. elIsBIenHeTot m:Um:g;mantMél RbEhlnwgm:Um:g;rbs;Fñwmbgáb;cugTaMgBIrEdlrgbnÞúkBRgayesμ I Edlm:Um:g;GviC¢manenAelITMresμ IBIrdg m:Um:g;GviC¢manenAkNþalElVg. enAkñúgrUbTI 17>12 RbsinebI 21 ll > / enaHkarEbgEckm:Um:g;enAkñúg TisedAEvg nigTisedAxøIKW³

( )

8

21

2n

uoll

lwM = olpl MM 35.0= oln MM 65.01 =

( )8

22

1n

uosl

lwM = osps MM 35.0= osns MM 65.0=

RbsinebITMhMénm:Um:g;GviC¢manenAelITMrxagkñúgmantMélxusKñaedaysarRbEvgElVgminesμ IKña ACI Code kMNt;eGayeRbIm:Um:g;EdlFMCagsMrab;KNnasrésEdk.

enAkñúgbnÞHkMralxageRkA bnÞúkkMralxNÐ½EdlGnuvtþelIssrxageRkA)anmkEtBIRCugmçag bNþaleGayekItmanm:Um:g;mines μ I (unbalanced moment) nigmMurgVilenAtMNxageRkA. dUcenH m:Um:g; viC¢manenAkNþalElVg nigm:Um:g;GviC¢manenAelITMrxagkñúgTImYynwgekIneLIg.TMhMénmMurgViléntMNxag eRkAkMNt;nUvkarelIneLIgnUvm:Um:g;kNþalElVg nigm:Um:g;enAelITMrxagkñúg. ]TahrN_ RbsinebIRCugxag

T.Chhay NPIC


eRkACaTmrsamBaØ dUckñúgkrNIkMralxNÐ½enAelICBa¢aMg ¬rUbTI 17>13¦ m:Um:g;kMralenARtg;épÞCBa¢aMgesμ I 0 m:Um:g;viC¢manenAkNþalElVgGacykesμ Inwg op MM 63.0= nigm:Um:g;GviC¢manenATMrxagkñúgKW

os MM 75.0= . tMélTaMgenHbMeBjlkçxNÐsmIkarsþaTic ( )oonpo MMMMM 75.063.0 2

121 +=+=

sMrab;RbBn§½kMral-ssr (slab-column floor system) tMNxageRkAmankarTb; (restraint) xøH

Edlpþl;edayPaBrwgRkaJTb;karBt;énkMralxNÐ½ nigedayPaBrwgRkajTb;karBt;énssrxageRkA. eyagtam ACI Code, Section 13.6.3 m:Um:g;sþaTicsrub oM enAkñúgElVgcugRtUv)anEbgEckeday

pleFobepSgKñaedayeyagtamtarag 17>2 nigrUbTI 17>14. emKuNm:Um:g;enAkñúgCYrQrTI 1 sMrab; RCugEdlminmankarTb;KWQrelIkarsn μt;fa pleFobénPaBrwgRkajTb;karBt;rbs;ssrelIPaBrwg RkajTb;karBt;smasrvagkMralxNÐ½ nigFñwmenARtg;tMN ecα KWes μIsUnü. emKuNénCYrQrTI 2 KWQr

T.Chhay NPIC


elIkarsn μt;fapleFob ecα esμ InwgGnnþ. emKuNm:Um:g;enAkñúgCYrQrTI 3/ TI4 nigTI5 RtUv)anbegáIt eLIgedaykarviPaKRbBn§½kMralCamYynwglkçxNÐragFrNImaRt niglkçxNÐTMrepSgKña.

T.Chhay NPIC


taragTI 17>2 karEbgEckm:Um:g;enAkñúgbnÞHkMralxagcug

RCugxageRkA kMralxNÐ½EdlKμan

FñwmenAcenøaHTMrxagkñúg minRtUv

)anTb; ¬!¦

Tb;eBj ¬@¦

kMralxNÐ½ EdlmanFñwmenAcenøaHRKb;

TMr ¬#¦

manFñwm xageRkA

¬$¦

K μanFñwm xageRkA

¬%¦ m:Um:g;emKuNGviC¢manxageRkA 0 65.0 16.0 30.0 26.0

m:Um:g;emKuNviC¢man 63.0 35.0 57.0 50.0 52.0 m:Um:g;emKuNGviC¢manxageRkA 75.0 65.0 70.0 70.0 70.0

8>4> karEbgEckm:Um:g;tamTTwgkñúgkMralxNÐ½ Transverse Distribution of Moment

in Slabs m:Um:g;tambeNþayEdl)anBnül;xagelIKWsMrab;TTwgTaMgmUlrbs;eRKagGKarsmmUl.

TTwgeRKag enHCaplbUkénTTwgcMerokelIssrBIr CamYynwgTTwgcMerokkNþalBIrénbnÞHkMralBIrEk,rKña dUcbgðaj enAkñúgrUbTI 17>15. karEbgEcktamTTwgénm:Um:g;tambeNþayeTAcMerokkNþal nigcMerokelIssrKW CaGnuKmn_énpleFob 12 / ll

stiffness slabstiffness beam

==scs

bcbf IE

IEα ¬!&>!@¦

lengthspan beam toequal width of slab a ofrigidity flexuralsection beam edge ofrigidity torsional

2==

scs

cbt IE

CEβ

¬!&>!#¦ Edl ∑ ⎟

⎟⎠

⎞⎜⎜⎝

⎛⎟⎟⎠

⎞⎜⎜⎝

⎛−==

363.01constant torsional

3 yxy

xC ¬!&>!$¦

Edl x nig y CaTTwg nigbeNþayrbs;muxkat;ctuekaN. PaKryénm:Um:g;KNnanImYy²Edl nwgRtUvEbgEckeTAcMerokelIssr nigcMerokkNþalsMrab;bnÞHkMralxagkñúg nigbnÞHkMralxageRkA RtUv)aneGayenAkñúgtarag 17>3 dl; 17>6. enAkñúgbnÞHkMralKMrUxagkñúg EpñkxøHénm:Um:g;KNna EdlminRtUv)andak;eTAkñúgcMerokelIssr ¬tarag 17>3¦ RtUv)anTb;edaycMerokkNþalBak; kNþalEdlRtUvKña. kareFVI linear interpolation sMrab;tMél 12 / ll EdlenAcenøaH 5.0 nig 0.2 nigsMrab;tMél 121 / llfα EdlenAcenøaH 0 nig 1 RtUv)anGnuBaØateday ACI Code. BItarag

T.Chhay NPIC


17>3 eyIgGacemIleXIjfa enAeBlFñwmminRtUv)aneRbI dUckñúgkrNI flat plate nig flat slab

01 =fα . PaKrycugeRkayénm:Um:g;enAkñúgcMerokelIssr nigcM erokkNþalCaGnuKmn_én oM RtUv)aneGayenAkñúgtaragTI 17>4.

sMrab;kMralxageRkA Epñkénm:Um:g;KNnaEdlminRtUv)andak;enAkñúgcMerokelIssr ¬tarag 17>5¦ RtUv)anTb;edaycMerokkNþalBak;kNþalEdlRtUvKña. mþgeTot kareFVI linear

interpolation cenøaHtM élEdlbgðajenAkñúgtarag 17>5 RtUv)anGnuBaØateday ACI Code,

Section 13.6.4.2. enAeBlEdl FñwmminRtUv)aneRbIenAkMralxageRkA dUckrNI flat plate nig flat

slab edayK μanFñwmxag (spandrel beam) 01 =fα / 0=C nig 0=tβ . enHmann½yfacugssr pþl;nUvkarTb;sMrab;cugkMralxageRkA. tMélGnuvtþn_éntarag 17>5 sMrab;krNIBiessenHRtUv)an bgðajenAkñúgtarag 17>6 nigrUbTI 17>15.

T.Chhay NPIC


tarag 17>3 PaKryénm:Um:g;tambeNþayenAkñúgcMerokelIssr sMrab;bnÞHkMralxagkñúg (ACI Code, Section 13.6.4)

pleFob 12 / ll 121 / llfα 5.0 0.1 0.2

0 75 75 75 m:Um:g;GviC¢manenAelITMrxagkñúg 0.1≥ 90 75 45

0 60 60 60 m:Um:g;viC¢manenAEk,rkNþalElVg 0.1≥ 90 75 45

tarag 17>4 PaKryénm:Um:g;enAkñúgkMralxNÐ½xagkñúgBIrTisEdlK μanFñwm ( 01 =α )

m:Um:g;KNnasrub ( ))!(!

!8

21

2 rnrnl

lwM nuo −⎟

⎟⎠

⎞⎜⎜⎝

⎛=

m:Um:g;GviC¢man m:Um:g;viC¢man m:Um:g;tambeNþayenAkñúgkMralmYy oM65.0− oM35.0±

cMerokelIssr ( ) oo MM 49.065.075.0 −=− ( ) oo MM 21.035.060.0 =

cMerokkNþal ( ) oo MM 16.065.025.0 −=− ( ) oo MM 14.035.040.0 = tarag 17>5> PaKryénm:Um:g;tambeNþayenAkñúgcMerokelIssr sMrab;bnÞHkMralxageRkA (ACI Code, Section 13.6.4)

pleFob 12 / ll 121 / llfα tβ 5.0 0.1 0.2

0 0 75 75 75 5.2≥ 90 75 45 0.1≥ 0 60 60 60

m:Um:g;GviC¢manenAelITMrxageRkA 5.2≥ 90 75 45

m:Um:g;viC¢manenAEk,rkNþalElVg 0 60 60 60

0.1≥ 90 75 45

0 75 75 75 m:Um:g;GviC¢manenAelITMrxagkúñg 0.1≥ 90 75 45

T.Chhay NPIC


tarag 17>6> PaKryénm:Um:g;tambeNþayenAkñúgcMerokelIssr nigcMerokkNþal ¬sMrab;pleFob 12 / ll ¦ edayeGay 01 == tf βα

% cMerokelIssr cMerokkNþalm:Um:g;cugeRkayCaGnuKmn_én

oM nig ecα ¬cMerokelIssr¦

m:Um:g;GviC¢manenAelITMrxageRkA 100 oM26.0 0 ( ) oec

M⎥⎦

⎤⎢⎣

⎡+ α11

65.0

m:Um:g;viC¢man¬ oM52.06.0 × ¦ 60 oM312.0 oM208.0 ( ) oec

M⎥⎦

⎤⎢⎣

⎡+

−α11

28.063.0

m:Um:g;GviC¢manenAelIMTMrxagkñúg ¬ oM70.075.0 × ¦ 75 oM52.0 oM175.0 ( ) o

ecM⎥⎦

⎤⎢⎣

⎡+

−α11

10.075.0

BItarag 17>6 eyIgeXIjfaenAeBlEdlFñwmxagminRtUv)aneRbIsMrab;kMralxageRkA 0=tβ nig m:Um:g;KNna %100 RtUv)anTb;edaycMerokelIssr. cMerokkNþalnwgminTb;m:Um:g;NamYyeT dUcenHbrimaNEdkGb,brmaRtUv)andak;. ACI Code, Section 13.6.4.3 kMNt;faenAeBlTMrxag eRkACassr b¤CBa¢aMgEdlRtUv)anBnøÚtsMrab;cMgayes μ InwgbIPaKbYnRbEvgElVgTTwg 2l EdleRbIedIm,I kMNt; oM m:Um:g;GviC¢manxageRkAEdlRtUv)anEbgEckes μ Ikat;tam 2l . enAeBlEdlFñwmRtUV)andak; tam beNþayGkS½ssr ACI Code, Section 13.6.5 tMrUvfam:Um:g;RtUvEtsmamaRtedIm,IkarBarm:Um:g;

%85 enAkñúgcMerokelIssr RbsinebI 0.1)/( 121 ≥llfα . sMrab;tMél )/( 121 llfα enAcenøaH 0.1 nig 0 m:U m:g;EdlmankñúgFñwmRtUv)ankMNt;edayeRbI linear interpolation . m:Um:g;k¾RtUVEtsmamaRt edIm,IkarBar m:Um:g;bEnßmEdlekItedaybnÞúkTaMgGs;EdlGnuvtþedaypÞal;eTAelIFñwm edaybBa©Ül TaMgTMgn;rbs;tYrFñwm EdlKitBIeRkamkMral. Epñkénm:Um:g;Edlmin)andak;eTAkñúgFñwmRtUv)anTb;eday kMralxNÐ½enAkñ μ úgcMerok elIssr.

8>5> karpþl;rbs; ACI sMrab;\T§iBlrbs;KMrUénkardak;bnÞúk ACI Provisions for Effects

of Pattern Loading enAkñúgrcnasm<n§½Cab; m:Um:g;Bt;FGtibrma nigGb,brmaenARtg;muxkat;eRKaHfñak;RtUv)anTTYl

eday kardak;bnÞúkGefrtamKMrUkMNt;mYyedIm,IbegáIttMélx<s;bMput. kardak;bnÞúkGefrenARKb;ElVg

T.Chhay NPIC


TaMgGs; nwgminbegáItm:Um:g;Bt;viC¢man b¤m:Um:g;Bt;viC¢manGtibrmaeT.m:Um:g;Gtibrma nigGb,brma GaRs½yCacMbg nwgkrNIxageRkam³

!> pleFobénbnÞúkGefrelIbnÞúkefr. pleFobx<s;nwgbegáIn\T§iBlrbs;KMrUénkardak;bnÞúk (patter loading).

@> pleFobPaBrwgRkajssrelIFñwm. pleFobtUcnwgbegáIn\T§iBlrbs;KMrUénkardak;bnÞúk. #> KMrUénkardak;bnÞúk. m:Um:g;viC¢manGtibrmaenAkñúgElVgrg\T§iBltictYcBIKMrUénkardak;bnÞúk. edIm,IkMNt;m:Um:g;emKuNKNnaenAkñúgrcnasm<n§½Cab; ACI Code, Section 13.7.6 kMNt;dUc

xageRkam³ !> enAeBlKMrUénkardak;bnÞúkRtUv)ansÁal; eRKagsmmUlKYrRtUv)anviPaKsMrab;bnÞúkenaH. @> enAeBlbnÞúkGefrERbRbYl b:uEnþminFMCagbIPaKbYnénbnÞúkefr DL ww 75.0≤ b¤enAeBl

EdlRKb;kMralTaMgGs;RtUv)andak;bnÞúkGefrkñúgtMNalKña karviPaKeRKagEdlmandak;bnÞúk GefremKuNeBjeRKagRtUv)anGnuBaØat.

#> sMrab;lkçxNÐénkardak;bnÞúkepSgeTot eKGnuBaØateGaysnμt;fa m:Um:g;emKuNviC¢man Gtibrma enAEk,rkNþalElVgekItmanCamYynwg 75.0 énbnÞúkGefremKuNeBjenAelIkMral nigenAelIkM ralqøas;. sMrab;m:Um:g;emKuNGviC¢manGtibrmaenAkñúgkMralxNÐ½elITMr RtUv)an eKGnuBaØateGay snμt;fa 75.0 énbnÞúkGefremKuNGnuvtþEtenAelIkMralEk,r.

$> m:Um:g;emKuNminKYryktUcCagm:Um:g;EdlekIteLIgCamYybnÞúkGefremKuNeBjenAelIkMral EdlCab;TaMgGs;eT.

8>6> karlMGitsrésEdk Reinforcement Details eRkayeBlPaKryTaMgGs;énm:Um:g;sþaTicenAkñúgcMerokelIssr nigcMerokkNþalRtUv)ankMNt; brimaNsrésEdkk¾GacRtUv)anKNnasMrab;m:Um:g;viC¢man nigGviC¢manenAkñúgcMeroknImYy² dUc Edl)aneFVIsMrab;FñwmenAkñúgemeronTI4 2

2bdRadfAM uysu =⎟

⎠⎞

⎜⎝⎛ −= φ ¬!&>!%¦

KNna uR nigkMNt;PaKryEdk ρ edayeRbItarag]bsm<n§½ B b¤eRbIsmIkarxageRkam³ ⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

c

yyu f

ffR

'7.11

ρφρ ¬!&>!^¦

T.Chhay NPIC


Edl 9.0=φ . RkLaépÞmuxkat;EdkKW bdAs ρ= . enAeBlEdlkMras;kMralxNÐ½RtUvnwgkarkMNt; kMras;kMralxNÐ½Edl)anerobrab;kñúgEpñkTI 4> enaHeK minRtUvkarEdkrgkarsgát;eT. rUbTI 13>3>8 én ACI Code bgðajRbEvgGb,brmaénEdk nigkar lMGitsrésEdksMrab;kMralEdlKμanFñwm ehIy vak¾RtUvbgðajenATIenHEdr ¬rUbTI 17>16¦. KMlatEdkenAkñúgkMralxNÐ½minRtUvFMCaglImIt Gtibrmarbs; ACI EdlmanKMlat mm450 b¤BIrdgkMras; kMralykmYyNaEdltUcCageK.

T.Chhay NPIC


8>7> viFIPaBrwgRkajEdlRtUv)anEktMrUvsMrab;ElVgcug Modified Stiffness Method

for End Spans enAkñúgviFIenH PaBrwgRkajrbs;FñwmxagcugkMral nigrbs;ssrxageRkARtUv)anCMnYsedayPaB rwgRkajénssrsmmUl ecK . PaBrwgRkajTb;karBt;énssrsmmUl ecK GacRtUv)anKNnaBI smIkarxageRkam³

tcec KKK111

+=∑

b¤ ∑∑

+=

tc

cec KK

KK

/1 ¬!&>!&¦

Edl =ecK PaBrwgRkajTb;nwgkarBt;rbs;ssrsmmUl =cK PaBrwgRkajTb;nwgkarBt;rbs;ssrBitR)akd =tK PaBrwgRkajTb;karrmYlrbs;Fñwmxag plbUkénPaBrwgRkajrbs;ssrxagelI nigxageRkamkMralxNÐ½GacRtUv)anykdUcxag

eRkam³

⎟⎟⎠

⎞⎜⎜⎝

⎛+=∑

2

2

1

14c

c

c

cc L

ILI

EK ¬!&>!*¦

Edl 1cI nig 1cL Cam:Um:g;niclPaB nigRbEvgrbs;ssrxagelInIv:UkMralxNÐ½ nig 2cI nig 2cL Cam:Um:g;niclPaB nigRbEvgrbs;ssrxageRkamnIv:UkMralxNÐ½. PaBrwgRkajTb;nwgkarrmYl

rbs;Fñwmcug tK GacRtUv)ankMNt;dUcxageRkam³ ∑

⎟⎟⎠

⎞⎜⎜⎝

⎛−

= 3

2

22 1

9

lc

l

CEK cs

t ¬!&>!(¦

Edl =2c TMhMrbs;ssrctuekaNEkg b¤ctuekaNEkgsmmUl/ capital column b¤ bracket Edlvas;enAelIElVgTTwgénRCugnImYy²rbs;ssr.

=csE m:UDuleGLasÞicrbs;ebtugkMral =C efrrmYl (torsion constant) EdlkMNt;BIsmIkarxageRkam³

∑ ⎟⎟⎠

⎞⎜⎜⎝

⎛⎟⎟⎠

⎞⎜⎜⎝

⎛−=

363.01

3 yxyxC ¬!&>@0¦

Edl x CaTMhMTTwgrbs;ctuekaN nig y CabeNþayrbs;ctuekaN. kñúgkarKNna C vimaRt rbs;muxkat;ctuekaNRtUv)aneRCIserIsy:agNaedIm,IeFVIeGay)antMél C FMCageK.

T.Chhay NPIC


smIkarxagedImEdl)anENnaMenATIenH nwgRtUv)anykmkeRbIenAkñúgEpñk 12 “Equivalent

Frame Method” . RbsinebIkMralmanFñwmRsbKñanwgm:Um:g;EdlRtuvKNna enaHPaBrwgRkajTb;karrmYl tK

EdleGaykñúgsmIkar !&>!( RtUv)anCMnYseday taK EdlmantMélFMCag ehIy taK RtUv)an KNnadUcxag eRkam³

s

sbtta I

IKK ×=

Edl ==12

32hlI s m:Um:g;niclPaBrbs;kMralxNÐ½EdlmanTTwgesμ InwgTTwgeBjcenøaHGkS½

kMral ¬edayminrYmbBa©ÚlEpñkrbs;tYrFñwmEdlbnøayeTAelI b¤eTAeRkamkMralxNÐ½¦. ssb II = / edaybBa©ÚlTaMgtYrFñwmEdlbnøayeTAelI b¤eTAeRkamkMralxNÐ½. muxkat;énGgát;rgkarrmYlxøHEdlmanP¢ab;mkCamYyRtUv)anbgðajenAkúñgrUbTI 17>17.

enAeBlEdl taK RtUv)anKNna enaHpleFobPaBrwgRkaj ecα RtUv)anTTYldUcxageRkam³

( )∑ +=

bs

ecec KK

Kα ¬!&>@!¦

Edl 1

4l

IEK scs

s = =PaBrwgRkajTb;karBt;rbs;kMralxNÐ½

1

4l

IEK bcb

b = =PaBrwgRkajTb;karBt;rbs;Fñwm

=bI m:Um:g;niclPaBTaMgmUlrbs;muxkat;FñwmbeNþay karEbgEckénm:Um:g;sþaTicsrub oM enAkñúgkMralxageRkARtUv)aneGayCaGnuKmn_én ecα

dUcxageRkam³

( ) oec

M⎥⎦

⎤⎢⎣

⎡+

−=α/111.075.0moment factored negativeInterior

( ) oec

M⎥⎦

⎤⎢⎣

⎡+

−=α/11

28.063.0moment factored Positive

( ) oec

M⎥⎦

⎤⎢⎣

⎡+

=α/11

65.0moment factored negativeExterior

tMélTaMgenHRtUv)anbgðajenAkñúgkMralxageRkAKMrUkñúgrUbTI 17>18. emKuNTaMgenHRtUv)an BicarNaBI\T§iBlrbs;PaBrwgRkajrbs;ssrxageRkAk¾dUcCa\T§iBlrbs;PaBrwgRkajrbs;FñwmcugkM ral EdleFVIeGaykarEbgEckm:Um:g;manlkçN³RKb;RKan;.

T.Chhay NPIC


T.Chhay NPIC


8>8> segçbviFIKNnaedaypÞal; Summary of the Direct Design Method (DDM)

krNITI1 kMralK μanFñwm !> RtYtBinitütMrUvkarénkarkMNt;Edl)anBnül;enAkñúgEpñk 8>1. RbsinebIvaminRtUvnwgkar

kMNt;eT eKminGaceRbIviFI DDM )aneT.

T.Chhay NPIC


@> kMNt;kMralxNÐ½Gb,brma minh edIm,IRKb;RKgPaBdabedayeRbItMélenAkñúgtarag 17>1. kM ralxageRkAEdlK μanFñwmxageGay minh x<s;bMput ¬ 30/nl sMrab; MPaf y 420= ¦. vaCa karGnuvtþFmμtaEdleRbIkMras;kMralxNÐ½esμ IKñasMrab;RKb;kMralxageRkAnigxagkñúg.

#> KNnabnÞúkemKuN LDu WWW 6.12.1 . += $> epÞógpÞat;kMras;kMralxNÐ½ h edIm,IkarBarkMlaMgkat;TTwgmYyTis nigkMlaMgkat;TTwgBIr

Tis. RbsinebIkMras;kMralxNÐ½ h minRKb;RKan; eKRtUvbegáInkMras; h b¤dak;EdkTb; kMlaMgkat;TTWg.

%> KNnam:Um:g;sþaTicsrub oM sMrab;TisedATaMgBIr ¬smIkar !&>!!¦ ^> kMNt;emKuNEbgEcksMrab;m:Um:g;viC¢man nigm:Um:g;GviC¢manenAkñúgTisedAbeNþay

nigTisedA TTwgsMrab;cMerokelIssr nigcMerokkNþalnImYy²TaMgenAkñúgkMralxagkñúg nigkMralxageRkA dUcxageRkam³ a. sMrab;kMralxagkñúg eRbIemKuNm:Um:g;EdleGayenAkñúgtarag 17>4 b¤rUbTI 17>15 b. sMrab;kMralxageRkAEdlKμanFñwmxag emKuNm:Um:g;kMralRtUv)aneGayenAkñúgtarag

17>2 b¤rUbTI 17>14 ¬krNITI5¦. sMrab;karEbgEckm:Um:g;enAkñúgTisedATTwg eRbIta rag 17>6 b¤rUbTI 17>15 sMrab;GRtacMerokelIssr. cMerokkNþalnwgTb;Epñkénm:Um:g; EdlminRtUv)andak;eTAkñ μúgcMerokssr.

c. sMrab;kMralxageRkAEdlmanFñwmxag emKuNm:Um:g;kMralRtUv)aneGayenAkñúgtarag 17>2 b¤rUbTI 17>14 ¬krNITI4¦. sMrab;karEbgEckm:Um:g;enAkñúgTisedATTwg eRbIta rag 17>5 sMrab;cMerokelIssr. cMerokkNþalnwgTb;lMnwgénm:Um:g;kMral.

&> kMNt;brimaNEdksMrab;RKb;muxkat;eRKaHfñak;;éncMerokelIssr nigcMerokkNþalTaMgGs; nigBnøÚtsrésEdkeBjkMralxNÐ½ ¬rUbTI 17>16¦

*> KNna unbalanced moment nigRtYtBinitüemIlfaetIkarbMElgm:Um:g; unbalanced

moment edaykarBt;RKb;RKan;b¤Gt;. RbsinebIGt;RKb;RKan;eT kMNt;brimaNEdk bEnßmEdlcaM)ac;enAkñúgTTwgeRKaHfñak; ¬eyagtamEpñkTI 10¦.

(> RtYtBinitüemIlfaetIkarbMElgm:Um:g; unbalanced moment edaykMlaMgkat;TTwgRKb; RKan; b¤Gt;. RbsinebIGt;eT begáIn h b¤dak;EdkTb;kMlaMgkat;TTwg. ¬eyagtamEpñkTI 10¦

T.Chhay NPIC


krNITI2 kMralEdlmanFñwmxagkñúg nigFñwmxageRkA !> RtYtBinitütMrUvkarénkarkMNt;Edl)anBnül;enAkñúgEpñk 8>1. @> kMNt;kMralxNÐ½Gb,brma minh edIm,IRKb;RKgPaBdabedayeRbItMélenAkñúgsmIkar

TI !&>! Dl; !&>#. kñúgkrNICaeRcIn smIkarTI !&>@ lub. smIkarTI !&>! KYrRtUv)an KNnadMbUgdUcbgðajenAkñúg]TahrN_TI 17>1.

#> KNnabnÞúkemKuN LDu WWW 6.12.1 . += $> epÞógpÞat;kMras;kMralxNÐ½ h tamry³kMlaMgkat;TTwgmYyTis nigkMlaMgkat;TTwgBIrTis.

CaTUeTA kMlaMgkat;TTWgminmanlkçN³eRKaHfñak;sMrab;kMralxNÐ½EdlRTedayFñwmeT. %> KNnam:Um:g;sþaTicsrub oM sMrab;TisedATaMgBIr ¬smIkar !&>!!¦ ^> kMNt;emKuNEbgEcksMrab;m:Um:g;viC¢man nigm:Um:g;GviC¢manenAkñúgTisedAbeNþay nigTis

edA TTwgsMrab;cMerokelIssr nigcMerokkNþalnImYy²TaMgenAkñúgkMralxagkñúg nigkMral xageRkA dUcxageRkam³ a. sMrab;kMralxagkñúg eRbIemKuNm:Um:g;kñúgrUbTI 17>14 ¬krNITI 3¦ b¤rUbTI 17>12.

sMrab;karEbgEckm:Um:g;kñúgTisedATTwg eRbItaragTI 17>3 sMrab;cMerokelIssr. cM erokkNþalnwgTb;Epñkénm:Um:g;Edlmin)andak;eTAkñúgcMerokelIssr. KNna 1α BI smIkar !&>!@.

b. sMrab;kMralxageRkA eRbIemKuNm:Um:g;kMralenAkñúgtarag 17>2 b¤rUbTI 17>14 ¬krNI TI3¦. sMrab;karEbgEckm:Um:g;enAkñúgTisedATTwg eRbItarag 17>5 sMrab;cM erokelIssr. cMerokkNþalnwgTb;lMnwgénm:Um:g;kMral.

c. kñúgkrNITaMgBIr (a) nig (b) FñwmRtUvTb; %85 énm:Um:g;enAkñúgcMerokssr enAeBl Edl 0.1)/( 121 ≥llfα b:uEnþGRtaERbRbYlcenøaH %85 nig %0 enAeBl

)/( 121 llfα ERbRbYlcemøaHBI 0.1 nig 0 . &> kMNt;brimaNEdksMrab;RKb;muxkat;eRKaHfñak;;éncMerokelIssr/ Fñwm nigcMerokkNþal

TaMgGs; bnÞab;mkBnøÚtsrésEdkeBjkMralxNÐ½ ¬rUbTI 17>16¦ *> KNna unbalanced moment nigbnÞab;mkRtYtBinitüemIlkarbMElgénm:Um:g; edaykar

Bt; nigkMlaMgkat;TTwg ¬eyagtamEpñkTI 10¦.

T.Chhay NPIC


]TahrN_TI17>3³ edayeRbIvIFI direct design method KNnakMral flat plate xagkñúgKMrU dUcEdl)anbgðajenAkñúgrUb TI 17>6 nig 17>19. RbBn§½kMralpSMeLIgeday kMralbYnenARKb;Tis EdlkMralmYy²manTMhM

m65.7 × . kMralTaMgGs;RtUv)anRTedayssrTMhM cm5050× manRbEvg m6.3 . kMralxNÐ½RT bnÞúkGefreFVIkar BRgayesμ I 2/8.4 mkN nigbnÞúkefreFVIkarEdlrYmman kMralkargarbegðIy (floor

finish) 2/5.1 mkN rYmTaMgbnÞúkpÞal;rbs;kMral. eKeGay MPaf c 28' = nig MPaf y 420= .

T.Chhay NPIC


dMeNaHRsay³ 1> kMNt;kMras;kMralxNÐ½Gb,brmaedayeRbItarag 17>1 sMrab; flat plate. BI]TahrN_TI

17>1 kMras;kMralxNÐ½KW cm25 . 2> KNnabnÞúkemKuN³

2/75.72525.05.1slab ofweight 5.1 mkNwD =×+=+= 2/178.46.175.72.1 mkNwu =×+×=

3> RtYtBinitükMlaMgkat;TTwgmYyTis nigkMlaMgkat;TTwgBIrTis³ a. RtYtBinitükMlaMgkat;pugenAcMgay 2/d BIépÞssr ¬GMeBIBIrTis¦.

Edaysnμt;kMras;ebtugkarBarEdk cm2 nigeRbIEdk 16DB . enaH d mFümKW cm4.216.1225 =−− nig ( ) cmbo 6.2854.21504 =+= ¬emIlrUbTI 17>19 c¦

[ ] kNwllV uu 3.7561017)5098600750()4.714.71( 421 =⋅×−×=××−= −

kNdbfV occ 5.80810214.0856.228375.0'

33 =×××==

φφ EdlFMCag uV

b. KNnakMlaMgTTwgFñwmenAcMgay d BIépÞssr. d mFümKW cm4.21 . BicarNacMerok m1 ¬rUbTI 17>19 d¦ CamYyRbEvgcMerokKW³

mx 286.3214.025.075.3 =−−= kNwV uu 862.55286.317)286.31( =×=×=

kNbdfV cc 5.14110214.0128675.0'

63 =×××==

φφ EdlFMCag uV . Kñugkardak;bnÞúkFm μta kMlaMgkat;TTwgmYyTisGt;lub.

4> KNnam:Um:g;sþaTicsrubenAkñúgTisedAEvg nigTisedAxøI kñúgTisedAEvg mkN

llwM nu

ol .75.624768

178

2212 =×==

kñúgTisedAxøI mkNllw

M nuos .11.4825.55.7

817

82

221 =×==

edaysarEt 12 ll < TTwgénBak;kNþalcMerokelIssrenAkñúgTisedAEvgKW mm 5.1625.0 =× ehIyTTwgéncMerokkNþalKW m35.126 =×− . TTwgénBak;kNþal

cMerokelIssrkñúgTisedAxøI KW m5.1 ehIyTTwgéncMerokkNþalKW m5.45.125.7 =×− . edIm,IKNnakMBs;RbsiT§PaB d kñúgTisedAnImYy² sn μt;faEdkenA kñúgTisedAxøIRtUvBIelIEdk

T.Chhay NPIC


enAkñúgTisedAEvg. dUcenH cmd 2.228.0225)direction long( =−−= nig )directionshort (d 8.06.1225 −−−= cm6.20= . sMrab;karGnuvtþn_ =)average(d

cm5.215.325 =− GacRtUv)aneRbIsMrab;Tis edATaMgBIr. dMeNIrkarKNnaGacRtUv)anerobcMCaTMrg;tarag dUcbgðajenAkñúgtarag 17>7 nig 17>8. karlMGitsMrab;kareRCIserIssrésEdkRtUv)anbgðajenAkñúgrUbTI 17>20 edayeRbIRbBn§½ EdkRtg;. eKRtUveKarBkardak;RbEvgGb,brmarbs;EdkdUcEdl)anbgðajenAkñúgrUbTI 17>16. Gñksagsg;cUlcitþeRbIEdkRtg; nigEdkEdlmanersIusþg; MPaf y 420' = . KMlatGtibrma mm375

83000

barsof no.panel ofwidth

=== taragTI17>7 karKNnabnÞHkMral flat platexagkñúg ¬kñúgTisEvg¦

mkNM o .75.624= mkNMM on .1.40665.0 −=−= mkNMM op .66.21835.0 =+=

cMerokelIssr cMerokkNþal TisEvg

GviC¢man viC¢man GviC¢man viC¢man karEbgEckm:Um:g; % 75 60 25 40

).( mkNM u 6.30475.0 −=nM 2.1316.0 ±=pM 5.10125.0 −=nM 5.876.0 ±=pM TTwgcMerok )(mmb 3000 3000 3000 3000 kMBs;RbsiT§PaB )(mmd 222 222 222 222

)(2 MPabdM

R uu = 06.2 89.0 69.0 59.0

PaKryEdk (%)ρ 57.0 24.0 19.0 16.0 )( 2= mmbdAs ρ 2.3796 4.1598 4.1265 6.1065

)(0018.0(min) 2mmbhA ss = 1350 1350 1350 1350 EdkEdleRCIserIs ¬Rtg;¦ 1620DB 168DB 1212DB 1212DB KMlat mmhs 5002 =≤ 150 375 250 250

T.Chhay NPIC


taragTI17>8 karKNnabnÞHkMral flat platexagkñúg ¬kñúgTisxøI¦ mkNM o .11.482=

mkNMM on .4.31365.0 −=−= mkNMM op .7.16835.0 =+=

cMerokelIssr cMerokkNþal TisEvg

GviC¢man viC¢man GviC¢man viC¢man karEbgEckm:Um:g; % 75 60 25 40

).( mkNM u 05.23575.0 −=nM 2.1016.0 ±=pM 35.7825.0 −=nM 5.676.0 ±=pM

TTwgcMerok )(mmb 3000 3000 4500 4500 kMBs;RbsiT§PaB )(mmd 206 206 206 206

)(2 MPabdM

R uu = 85.1 79.0 41.0 35.0

PaKryEdk (%)ρ 51.0 21.0 11.0 09.0 )( 2= mmbdAs ρ 8.3151 8.1297 7.1019 3.834

)(0018.0(min) 2mmbhA ss = 1350 1350 2025 2025 EdkEdleRCIserIs ¬Rtg;¦ 1616DB 168DB 1218DB 1218DB KMlat mmhs 5002 =≤ 5.187 375 250 250

KMlatEdkenAkñúgcMerokelIssrkñúgTisxøIKW mm250 . vamanlkçN³RKb;RKan; edaysarva tUcCag mmhs 5002 = nigtUcCag mm450 EdlkMNt;eday ACI Code.

cMNaMfa PaKryEdkTaMgGs;KWticCag 0182.0max =ρ . dUcenH 9.0=φ .

]TahrN_TI17>4³ edayeRbIviFI direct design method KNnakMral flat plate xageRkAEdlmanTMhM bnÞúk ersIusþg;ebtug nigersIusþg;EdkdUcKñanwgGVIEdl)aneGayenAkñúg]TahrN_TI 17>3. FñwmminRtUv)aneRbI ¬rUbTI 17>21¦.

dMeNaHRsay³ 1> kMNt;kMras;kMralxNÐ½Gb,bramedayeRbItarag 17>1 sMrab; flat plate. BI]TahrN_TI

17>1 kMras;kMralxNÐ½KW cm25 .

T.Chhay NPIC


2> KNnabnÞúkemKuN³ 2/17 mkNwu = 3> RtYtBinitükMlaMgkat;TTwgmYyTis nigkMlaMgkat;TTwgBIrTis ¬eyagtam]TahrN_TI 17>3

nigrUbTI 17>9¦.

a. RtYtBinitükMlaMgkat;pugenAssrxagkñúg kNVkNV cu 5.8083.756 =<= φ b. RtYtBinitükMlaMgkat;TTwgmYyTis³ kNVkNV cu 5.141862.55 =<= φ c. RtYtBinitükMlaMt;pugenAssrxageRkA³ cmd 4.21=

cmx 7.602

4.2150 =+=

T.Chhay NPIC


cmy 4.714.2150 =+=

T.Chhay NPIC


cmyxbo 8.1922 =+= kNVu 6.40017104.717.6025

2750600 4 =×⎥

⎦

⎤⎢⎣

⎡×−⎟

⎠⎞

⎜⎝⎛ += −

kNkNdbfV occ 6.4008.545'3

>==φφ

d. RtYtBinitükMlaMgkat;pugenAssrkac;RCug³ cmd 4.21= cmyx 7.60

24.2150 =+==

cmyxbo 4.121=+= kNVu 7.21417107.607.6025

275025

2600 4 =×⎥

⎦

⎤⎢⎣

⎡×−⎟

⎠⎞

⎜⎝⎛ +⎟⎠⎞

⎜⎝⎛ += −

kNkNdbfV occ 7.2147.343'3

>==φφ

4> KNnam:Um:g;sþaTicsrub ¬BI]TahrN_TI 17>3¦ mkNM ol .7.624)direction long( = cmd 2.22=

mkNM os .11.482)directionshort ( = cmd 6.20= TTwgrbs;cMerokelIssrKW cm300 nigTTwgcMerokkNþalKW cm450

5> KNnam:Um:g;KNnaenAkñúgTisedAEvg³ ml 5.71 = ¬eyagtamtarag 17>5 b¤rUb 17>15¦. karEbgEckm:Um:g;srub olM enAkñúgcMerokelIssr nigcMerokkNþalKWRtUv)anKNnadUcxag eRkam³ a. cMerokelIssr³

m:Um:g;GviC¢manxagkñúg ( ) mkNM o .32875.624525.0525.0 −=−=−= m:Um:g;viC¢manenAkñúgElVg ( ) mkNM o .19575.624312.0312.0 === m:Um:g;GviC¢manxageRkA ( ) mkNM o .4.16275.62426.026.0 =−=−=

b. cMerokkNþal³ m:Um:g;GviC¢manxagkñúg ( ) mkNM o .3.10975.624175.0175.0 −=−=−= m:Um:g;viC¢manenAkñúgElVg ( ) mkNM o .9.12975.624208.0208.0 === m:Um:g;GviC¢manxageRkA 0=

T.Chhay NPIC


6> KNnam:Um:g;KNnaenAkñúgTisedAxøI³ mls 6= . vaRtUv)anKitdUckMralxagkñúgEdr BIeRBaHva Cab;TaMgsgçag. eyagtamtarag 17>4 b¤rUbTI 17>15 karEbgEckm:Um:g;srub osM enA kñúgcMerokelIssr nigcMerokkNþalRtUv)anKNnadUcxageRkam³ a. cMerokelIssr³

m:Um:g;GviC¢man ( ) mkNM o .2.23611.48249.049.0 −=−=−= m:Um:g;viC¢man ( ) mkNM o .2.10111.48221.021.0 ===

b. cMerokkNþal³ m:Um:g;GviC¢man ( ) mkNM o .1.7711.48216.016.0 −=−=−= m:Um:g;viC¢man ( ) mkNM o .5.6711.48214.014.0 ===

dMeNIrkarKNnaRtUv)antMeroby:aggayRsYlenAkñúgtarag 17>9. karlMGitsMrab;kar eRCIserIssrésEdkRtUv)anbgðajenAkñúgrUbTI 17>22 edayeRbIRbBn§½EdkRtg;;enAkñúgTis Evg. karlMGitsrésEdkenAkñúgTisxøImanlkçN³RsedogKñanwgkarBRgaysrésEdkenA kñúgrUbTI 17>20 edayeRbIkareRCIserIssrésEdkenAkñúgtarag 17>9. cMNaMfa RKb;PaKryEdkTaMgGs;tUcCag 0182.0max =ρ . dUcenH 9.0=φ .

T.Chhay NPIC


tarag 17>9 karKNnakMral flat platexageRkAsMrab;]TahrN_TI 17>4 ¬ cmd 2.22= ¦ cMerokelIssr cMerokkNþal TisEvg xageRkA viC¢man xagkñúg xageRkA viC¢man xagkñúg

).( mkNM u 4.162− 195 328− 0 9.129 3.109−

TTwgcMerok )(mmb 3000 3000 3000 3000 3000 3000 )(2 MPa

bdM

R uu = 10.1 32.1 22.2 0 88.0 74.0

PaKryEdk (%)ρ 30.0 36.0 62.0 0 24.0 20.0 )( 2= mmbdAs ρ 1998 2398 4129 0 1598 1332

)(0018.0(min) 2mmbhA ss = 1350 1350 1350 1350 1350 1350 EdkEdleRCIserIs ¬Rtg;¦ 1610DB 1612DB 1622DB 1212DB 1218DB 1212DB

KMlat mmhs 5002 =≤ 300 250 136 250 167 250 TisxøI cMerokelIssr cMerokkNþal

).( mkNM u 2.236− 2.101 1.77− 5.67 TTwgcMerok )(mmb 3000 3000 4500 4500 kMBs;RbsiT§PaB )(mmd 206 206 206 206

)(2 MPabdM

R uu = 86.1 79.0 40.0 35.0

PaKryEdk (%)ρ 52.0 21.0 11.0 09.0 )( 2= mmbdAs ρ 3214 1298 1020 3.834

)(0018.0(min) 2mmbhA ss = 1350 1350 2025 2025 EdkEdleRCIserIs ¬Rtg;¦ 1616DB 168DB 1218DB 1218DB KMlat mmhs 5002 =≤ 5.187 375 250 250 ]TahrN_TI17>5³ eFVI]TahrN_TI 17>4 elIgvij edayeRbIviFI modified stiffness method. ¬eKRtUvkarKNnaRsedogKña sMrab;viFI equivalent frame method, EpñkTI 12¦.

T.Chhay NPIC


dMeNaHRsay³ 1> GnuvtþRsedogKñasMrab;CMhanTI 1 dl; 4 dUckñúg]TahrN_TI 17>4 2> KNnaPaBrwgRkajssrsmmUl/ ecK ³

tcec KKK111

+=∑

eyIgGacsn μt;faEpñkéncMerokkMralEdlenAcenøaHssrxageRkAeFVIkarCassrTb;nwgkarrmYl. muxkat;rbs;kMralxNÐ½-ssrKW cm50 ¬TTWgrbs;ssr¦ cm25× ¬kMras;kMralxNÐ½¦ dUcEdl bgðajkñúgrUb. a. kMNt;PaBrwgRkajTb;karrmYl tK BIsmIkar !&>@0³

363.01

3 yxyxC ⎟⎟⎠

⎞⎜⎜⎝

⎛−= mmx 250= mmy 500=

483

1084.173

50025050025063.01 mmC ⋅=

×⎟⎠⎞

⎜⎝⎛ −=

63

8

3

2

22

1047.3

600050016000

1084.179

1

9⋅=

⎟⎠⎞

⎜⎝⎛ −

⋅=

⎟⎟⎠

⎞⎜⎜⎝

⎛−

= ccc

t EE

lc

l

CEK

sMrab;kMralxNÐ½Ek,rKñaBIr ¬enAelIRCugTaMgsgçagrbs;ssr¦ EdleFVIkarCaFñwmTTwg 66 1094.61047.32 ⋅=⋅×= cct EEK

b. KNnaPaBrwgRkajrbs;ssr cK / kMBs;ssr mLc 6.3= 6

41079.5

12500

360044

⋅=×== cc

c

ccc E

EL

IEK

sMrab;ssrBIrenABIelI niBIeRkamkMralxNÐ½ 66 1058.111079.52 ⋅=⋅×= ccc EEK

c. KNna ecK ³

66 1094.61

1058.1111

⋅+

⋅=

ccec EEK

61034.4 ⋅= cec EK 3> KNnaPaBrwgRkajrbs;kMralxNÐ½ nigemKuN ecα

1

4l

IEK sc

s = mmhs 250= mml 60002 = 12

32 s

shl

I =

T.Chhay NPIC


63

1017.412

250600075004

⋅=×

×= cc

s EE

K

( )∑ +=

bs

ecec KK

Kα

0=bK ¬edaysarK μanFñwm¦ dUcenH 04.1

1017.41034.4

6

6=

⋅

⋅=

c

cec

EE

α

yk 96.111 =+=ec

Qα

4> KNnam:Um:g;KNnaenAkñúgTisedAEvg³ mll 5.7= . karEbgEckm:Um:g;enAkñúgkMralmYyRtUv)anbgðajenAkñúgrUbTI 17>18. m:Um:g;GviC¢manxagkñúgKW

mkNMQ

M olni .6.436)7.624(96.110.075.010.075.0 −=⎟

⎠⎞

⎜⎝⎛ −=⎥

⎦

⎤⎢⎣

⎡−=

m:Um:g;viC¢manKW mkNM

QM olp .3.304)7.624(

96.128.063.028.063.0 =⎟

⎠⎞

⎜⎝⎛ −=⎥

⎦

⎤⎢⎣

⎡−=

m:Um:g;GviC¢manKW ( ) mkNM

QM olne .2.2077.624

96.165.0)(65.0

===

5> KNnakarEbgEckm:Um:g;kMralenAkñúgTisxøIeTAcMerokelIssr nigcMerokkNþal. m:Um:g; niM / pM nig neM RtUv)anEbgEckdUcxageRkam ¬eyagtamtarag 17>6¦³

a. m:Um:g;xagkñúg mkNM nl .6.436−= RtUv)anEbgEck %75 sMrab;cMerokelIssr nig %25 sMrab;cMerokkNþal

( ) mkN.5.3276.43675.0stripcolumn −=−= ( ) mkN.1.1096.43625.0strip Middle −=−=

b. m:Um:g;viC¢man mkNM p .3.304= RtUv)anEbgEck %60 sMrab;cMerokelIssr nig %40 sMrab;cMerokkNþal

( ) mkN.6.1823.30460.0stripcolumn == ( ) mkN.7.1213.30440.0strip Middle ==

c. m:Um:g;GviC¢manxageRkA mkNM ne .2.207−= RtUv)anEbgEckGaRs½ytamtarag 17>5³

T.Chhay NPIC


sscs

cbt I

CIECE

22==β ¬ebtugkMralxNÐ½ nigebtugssrmanm:UDuleGLasÞicdUcKña¦

483

10125.7812

2506000 mmI s ⋅==

114.010125.782

1084.178

8=

⋅×

⋅=β

01 ==scs

bcbf IE

IEα 0

1

21 =

ll

fα 8.01

2 =ll

BItarag 17>5 nigedayeFVIviFanmUlvacar (interpolation) cenøaH 0=tβ ¬PaKry = %100 ¦ nig 5.2=tβ ¬PaKry %75= ¦ sMrab; 114.0=tβ PaKryKW %9.98 . m:Um:g;GviC¢manxageRkAenAkñúgcMerokelIssrKW ( ) mkN.92.2042.207989.0 −=−× nigenAkñúgcMerokkNþalKW mkN.28.2− . kñúgkrNIenHeKGacKitfacMerokelIssrRTm:Um:g;

neM %100 KWesμInwg mkN.2.207− 6> kMNt;srésEdkEdlcaM)ac;enAkñúgTisedAEvgkñúgtaragEdlmanlkçN³RsedogKñanwg]TahrN_

TI 17>4. lT§plEdlTTYl)anmanlkçN³ERbRbYlticbMputxusBItarag 17>9. 7> eRbobeFoblT§plrvag]TahrN_TI 17>4 nig 17>5 eyIgeXijfam:Um:g;xageRkAenAkñúgcMerok

elIssr ¬ mkN.2.207− ¦FMCagcMelIyEdlTTYl)ankñúg]TahrN_TI 17>4 ¬ mkN.4.162− ¦ eday %6.27 b:uEnþm:Um:g;viC¢man ¬ mkN.6.182 ¦ RtUv)ankat;bnßyeday %8.6 ¬eFobnwg

mkN.195 ¦ ÉtMéld¾éTeTotesÞIrEtRtUvKña. ]TahrN_TI17>6³ KNnakMralxagkñúgénRbBn§½kMralBIrTisEdl)anbgðajenAkñúgrUbTI 17>7. kMralpSMeLIgedaykMral EdlmanTMhM m66.7 × cMnYn 6 kñúgTisnImYy². kMralTaMgGs;RtUv)anRTedayssrEdlmanTMhM

cm5050× RbEvg m6.3 . kMralRtUv)anRTedayFñwmtambeNþayGkS½ssrEdlmanmuxkat;dUcbgðaj kñúgrUb. bnÞúkGefreFVIkarRtUv)anyk 2/8.4 mkN nigbnÞúkefreFVIkarpSMeLIgeday 2/1 mkN sMrab;kar garbegðIybEnßmBIelITMgn;pÞal;rbs;kMral. cUreRbI MPaf c 21' = / MPaf y 420= nigviFI direct

design method. dMeNaHRsay³

1> eKRtUveFVItamkarkMNt;rbs; ACI Code. kMNt;kMras;kMralxNÐ½Gb,brmaedayeRbIsmIkar 17>1 nig 17>2. kMras;kMralxNÐ½RtUv)anKNnarYcCaeRscenAkñúg]TahrN_TI 17>2 ehIy

T.Chhay NPIC


eyIgTTYlykkMras; cm18 . CaTUeTA kMras;kMralxNÐ½enAkñúgRbBn§½kMralRtUv)anRKb;RKgeday kMralkac;RCugdUcCakarKNna minh kMralxageRkApþl;nUvkMras;kMralFMCagsMrab;kMralxagkñúg.

2> KNnabnÞúkemKuN 2/5.52518.01 mkNwD =×+=

2/28.148.46.15.52.1 mkNwu =×+×= 3> kugRtaMgkMlaMgenAkñúgkMralxNÐ½minmanlkçN³eRKaHfñak;eT. muxkat;eRKaHfñak;mancMgay d BI

épÞFñwm. sMrab;TTwg m1 ³ kNdwV uu 84.3715.0

24.0328.14 widthbeam

213 =⎟

⎠⎞

⎜⎝⎛ −−=⎟

⎠⎞

⎜⎝⎛ −−=

kNbdfV cc 9.851015010006

2175.0'6

3 =⋅×== −φφ 4> KNnam:Um:g;sþaTicsrubenAkñúgTisEvg nigTisxøI³

( ) ( ) mkNllw

M nu

ol .9.5391.76828.14

822

12 ===

( ) ( ) mkNllw

M nu

os .4.4105.56.7828.14

822

21 === 5> KNnam:Um:g;KNnaenAkñúgTisEvg³ mll 6.7=

a. karEbgEckm:Um:g;enAkñúgkMral m:Um:g;GviC¢man mkNMM oln .9.3509.53965.065.0 −=×== m:Um:g;viC¢man mkNMM olp .1899.53935.035.0 =×==

b. karEbgEckm:Um:g;kMralkñúgTisTTwgeTAFñwm/ cMerokelIssr nigcMerokkNþal 79.0

6.76

1

2 ==ll 19.31 ===

s

bsf EI

EIαα ¬BI]TahrN_TI 17>2¦

152.279.019.31

21 >=×=

ll

fα

c. karEbgEckm:Um:g;GviC¢man nM . Epñkénm:Um:g;GviC¢manxagkñúgedIm,IkarBaredaycMerokelI ssrRtUv)anTTYlBItarag 17>3 edayeFVI interpolation nigesμ Inwg %3.81 ¬sMrab;

79.0/ 12 =ll nig 0.1)/( 121 >llfα ¦. cMerokelIssr mkNM n .3.2859.350813.0813.0 −=×== cMerokkNþal mkNM n .6.659.350187.0187.0 −=×==

T.Chhay NPIC


edaysarEt 1)/( 121 >llfα / ACI Code, Section 13.6.5 bgðajfa %85 énm:Um:g; kñúgcMerokelIssrRtUv)anEckeGayeTAFñwm nigenAsl; %15 RtUv)anEckeGayeTAkM ralcMerokelIssr. Fñwm mkN.5.2423.28585.0 −=×= cMerokelIssr mkN.8.423.28515.0 −=×= cMerokkNþal mkN.6.65−=

d. karEbgEckm:Um:g;viC¢man pM . Epñkénm:Um:g;viC¢manxagkñúgEdlRtUv)anTb;edaycMerokelIssrRtUv)anTTYlBItarag 17>3 edayeFVI interpolation nigesμ Inwg %3.81 ¬sMrab; 79.0/ 12 =ll nig 0.1)/( 121 >llfα ¦. cMerokelIssr mkNM n .7.153189813.0813.0 =×== cMerokkNþal mkNM n .3.35189187.0187.0 =×==

edaysarEt 1)/( 121 >llfα / ACI Code, Section 13.6.5 bgðajfa %85 énm:Um:g; kñúgcMerokelIssrRtUv)anEckeGayeTAFñwm nigenAsl; %15 RtUv)anEckeGayeTAkM ralcMerokelIssr. Fñwm mkN.6.1307.15385.0 =×= cMerokelIssr mkN.1.237.15315.0 =×= cMerokkNþal mkN.3.35=

karlMGitm:Um:g;RtUv)anbgðajenAkñúgrUbTI 17>23. 6> KNnam:Um:g;KNnaenAkñúgTisxøI³ ElVg m6= . viFIKNnaRsedogKñanwgCMhanTI5>

m:Um:g;GviC¢man mkNMM osn .8.2664.41065.065.0 −=×== m:Um:g;viC¢man mkNMM osp .6.1434.41035.035.0 =×== EbgEck nM / pM eTAFñwm/ cMerokelIssr nigcMerokkNþal

27.166.7

1

2 ==ll 51.21 ===

s

bsf EI

EIαα ¬BI]TahrN_TI 17>2¦

119.327.151.21

21 >=×=

ll

fα

PaKryénm:Um:g;GviC¢man nigGviC¢manenAkñúgcMerokelIssrRtUv)anTTYlBItarag 17>3 eday kareFVI interpolation. ¬sMrab; 27.1/ 12 =ll nig ( ) 0.1/ 121 >llfα PaKryEbgKW %67 ¦.

T.Chhay NPIC


m:Um:g;GviC¢mancMerokelIssr mkNM n .8.1788.26669.067.0 −=×== m:Um:g;GviC¢mancMerokkNþal mkNM n .888.26633.033.0 −=×== eday ( ) 0.1/ 121 >llfα / %85 én mkN.8.178− RtUv)andak;eTAkñúgFñwm. dUcenH m:Um:g;GviC¢manelIFñwm mkN.1528.17885.0 −=×= m:Um:g;GviC¢mancMerokelIssr mkN.8.268.17815.0 −=×= m:Um:g;viC¢manelIFñwm mkN.8.816.14367.085.0 =××= m:Um:g;viC¢mancMerokelIssr mkN.4.146.14367.015.0 =××= m:Um:g;viC¢mancMerokkNþal mkN.4.476.14333.0 =×=

7> brimaNEdkcaM)ac; nigcMnYnEdkRtUv)anbgðajenAkñúgtarag 17>10. cMNaMfaPaKryEdkTaMgGs;tUcCag 00137.0max =ρ . dUcenH 9.0=φ .

T.Chhay NPIC


tarag 17>10 karKNnaénkMralxNÐ½manFñwmBIrTisxagkñúg TisEvg

cMerokelIssr cMerokkNþal ).( mkNM u 8.42− 1.23 6.65− 3.35

TTwgcMerok )(mmb 3000 3000 3000 3000 kMBs;RbsiT§PaB )(mmd 150 150 150 150

)(2 MPabdM

R uu = 0.63 0.34 0.97 0.52

PaKryEdk (%)ρ 0.17 0.09 0.26 0.14

)( 2= mmbdAs ρ 765 405 1170 630

)(0018.0(min) 2mmbhA ss = 972 972 972 972

EdkEdleRCIserIs 9DB12 9DB12 11DB12 9DB12

TisxøI cMerokelIssr cMerokkNþal

).( mkNM u 8.26− 4.14 88− 4.47 TTwgcMerok )(mmb 3000 3000 4600 4600 kMBs;RbsiT§PaB )(mmd 140 140 140 140

)(2 MPabdM

R uu = 0.46 0.24 0.98 0.53

PaKryEdk (%)ρ 0.12 0.06 0.27 0.14

)( 2= mmbdAs ρ 504 252 1739 902

)(0018.0(min) 2mmbhA ss = 972 972 1490 1490

EdkEdleRCIserIs ¬Rtg;¦ 9DB12 9DB12 16DB12 14DB12

]TahrN_TI17>7³ edayeRbIviFI direct design method kMNt;m:Um:g;viC¢man nigGviC¢mancaM)ac; sMrab; karKNnaénkMral xageRkA ¬elx @¦ énRbBn§½kMralBIrTisEdlmanFñwmdUcEdlbgðajenAkñúgrUbTI 17>7. eRbIbnÞúk nig Tinñn½yEdleGayenAkñúg]TahrN_TI 17>6.

T.Chhay NPIC


dMeNaHRsay³ 1> karkMNt;EdlTamTarbs; ACI Code RtUv)anbMeBjenAkñúg]TahrN_enH.

kMNt;kMras;kMralGb,brma sh edayeRbIsmIkar !&>! nig !&>@ nigCMhanbnþbnÞab;. sn μt; cmhs 18= . muxkat;rbs;Fñwmxagkñúg nigxageRkARtUv)anbgðajenAkñúgrUbTI 17>7. cMNaMfa karbnøykMralxNÐ½enARKb;RCugrbs;FñwmKW cmyx 38==

2> a. m:Um:g;niclPaBrbs;Fñwm nigkMralxagkñúgEdlRtUv)anKNnaenAkñúg]TahrN_TI 17>2 KW TaMgBIrTis 46.928924 cmIb = TisEvg 4291600cmI s = TisxøI 4369360cmI s = b. KNna bI nig sI sMrab;Fñwmxag nigkMralxNÐ½xag Fñwmxag ( )( ) ( )( )

⎥⎥⎦

⎤

⎢⎢⎣

⎡×+

×+

⎥⎥⎦

⎤

⎢⎢⎣

⎡×+

×= 2

32

35.143830

1238305.131868

121868

bI

4632987cm= KNna sI sMrab;cMerokxagcugEdlRsbeTAnwgFñwmxag EdlmanTTwg

2500

27600

+=

mm4050= kMralxagcug 4

3196830

1218405 cmI s =

×=

3> a. KNna fα ¬ sbf EIEI /=α ¦ TisEvg 19.3

2916006.928924==lα

TisxøI 51.2369360

6.928924==sα

Fñwmxag 22.3196830632987

==α α mFüm 86.2

422.3251.219.3

=+×+

== fmα b. =β pleFob clear span EvgelI clear span xøI 29.1

5.51.7==

c. KNna sh ³

T.Chhay NPIC


( ) mmhs 1502.086.229.1536

14004208.07100

min =−×+

⎟⎠⎞

⎜⎝⎛ +

=

b:uEnþtMélenHminRtUvtUcCag

mmhs 16429.1936

14004208.07100

min =×+

⎟⎠⎞

⎜⎝⎛ +

= ¬lub¦ eRbI cmcmhs 918 >= ¬tMélGb,brmaEdlkMNt;eday code ¦

4> KNnabnÞúemKuN 2/28.14 mkNwu = ¬BI]TahrN_TI 17>6¦ 5> KNnam:Um:g;sþaTicsrub³ mkNM ol .9.539= mkNM os .4.410= ¬BI]TahrN_mun¦ 6> KNnam:Um:g;KNnaenAkñúgTisxøI ¬ElVg m6= ¦³ edaysarkMralCab;kñúgTisenH m:Um:g;mantMél

dUcnwgm:Um:g;Edl)anKNnaenAkñúg]TahrN_TI 17>6 ehIyRtUv)anbgðajenAkñúgrUbTI 17>23 sMrab;kMralxagkñúg.

7> KNnam:Um:g;enAkñúgmYykMraledayeRbIemKuNEdleGayenAkñúgtarag 17>2 b¤rUbTI 17>14 ¬krNITI 3¦³ m:Um:g;GviC¢manxagkñúg mkNMM oni .3789.5397.07.0 −=×== m:Um:g;viC¢mankñúgElVg mkNMM op .7.3079.53957.057.0 =×== m:Um:g;GviC¢manxageRkA mkNMM one .4.869.53916.016.0 −=×== cMNaM³ RbsinebIviFI modified stiffness method RtUv)aneRbI enaH 461027.3857 mmC ⋅= /

61013.39 ⋅= cta Ek / 61079.5 ⋅= cc EK / 61056.1 ⋅= cs EK / 61095.4 ⋅= cb Ek / 61094.8 ⋅= cb Ek nig 37.1=ecα . m:Um:g;GviC¢manxagkñúgkøayCa mkN.7.373−

¬Rbhak;RbEhlKña¦ m:Um:g;viC¢mankøayCa mkN.75.252 ¬fycuH %18 ¦ nigm:Um:g;GviC¢manxageRkAkøayCa 86.202 ¬ekIneLIg %235 ¦

8> karEbgEckm:Um:g;kMraleTAFñwm cMerokelIssr nigcMerokkNþal³ 79.0

6.76

1

2 ==ll 19.31 == lf αα

0.152.279.019.31

21 >=×=

ll

fα

KNna C ³

T.Chhay NPIC


⎟⎟⎠

⎞⎜⎜⎝

⎛⎟⎟⎠

⎞⎜⎜⎝

⎛−= ∑

yxyxC

3

363.01

Eckmuxkat;rbs;FñwmxagCactuekaNBIrEdleFVIy:agNaedIm,ITTYl)an C Gtibrma. ykmuxkat;Fñwm mm560300× ¬ mmx 300= / mmy 560= ¦ nigmuxkat;kMral

mm380180× ¬ mmx 180= / mmy 380= ¦ 46

331027.3857

3380180

38018063.01

3560300

56030063.01 mmC ⋅=⎟

⎟⎠

⎞⎜⎜⎝

⎛ ×⎟⎠⎞

⎜⎝⎛ −+⎟

⎟⎠

⎞⎜⎜⎝

⎛ ×⎟⎠⎞

⎜⎝⎛ ×−=

66.0102916002

1038572 4

6=

⋅×

⋅==

scs

cbt IE

CEβ

a. EbgEckm:Um:g;GviC¢manxagkñúg niM ³ eyagtamtarag 17>3 nigedaykareFVI interpolation PaKrym:Um:g;Edldak;enAkñúgcMerokelIssr ¬sMrab; 79.0/ 12 =ll nig 0.1/ 121 >llfα ¦KW %3.81

cMerokelIssr mkN.3.307378813.0 −=×= cMerokkNþal mkN.7.70378187.0 −=×= edaysar 0.1/ 121 >llfα / %85 énm:Um:g;enAkñúgcMerokssrKWRtUv)andak;eTAkñúgFñwm dUcenH³ Fñwm mkN.2.2613.30785.0 −=×= cMerokelIssr mkN.1.463.30715.0 −=×= cMerokkNþal mkN.7.70−= b. EbgEckm:Um:g;viC¢man pM ³ eyagtamtarag 17>3 nigedayeFVI interpolation PaKry

m:Um:g;EdlRtUvdak;kñúgcMerokelIssrKW %3.81 ¬ %85 éntMélenHRtUv)andak;eTAFñwm¦. dUcenH

Fñwm ( ) mkN.6.2127.307813.085.0 =×= cMerokelIssr ( ) mkN.5.377.307813.015.0 =×= cMerokkNþal mkN.5.577.307187.0 =×= c. EbgEckm:Um:g;GviC¢manxageRkA neM ³ eyagtamtarag 17>5 nigedaykareFVI

interpolation PaKrym:Um:g;Edldak;eTAkñúgcMerokelIssr ¬sMrab; 79.0/ 12 =ll nig 0.1/ 121 >llfα ¦KW %5.92 nig %85

T.Chhay NPIC


Fñwm ( ) mkN.9.674.86925.085.0 −=×= cMerokelIssr ( ) mkN.124.86925.015.0 −=×=

cMerokkNþal mkN.48.64.86075.0 =×=

9> m:Um:g;KNnaenAkñúgssr Design Moments in Column

enAeBlEdlkarviPaKeRKagsmmUl (equivalent frame) RtUv)aneFVIeLIgedayviFI direct

design method m:Um:g;enAkñúgssrEdlbNþalBIbnÞúkmines μ I (unbalanced load) enAelIFñwmEk,rRtUv)an TTYlBIsmIkarxageRkam EdlRtUv)ankMNt;eday ACI Code, Section 13.6.9:

( ) ( )[ ]22

22 '''5.007.0 ndnldu llwllwwM −+= ¬!&>@@ a ¦

RbsinebIviFI modified stiffness method EdleRbI ecK nig ecα enaHm:Um:g; uM RtUv)ankMNt; dUcxageRkam³ ( ) ( )[ ]

⎟⎟⎠

⎞⎜⎜⎝

⎛+

−+=

ec

ndnldu

llwllwwM

α11

'''5.008.0 22

22 ¬!&>@@ b ¦

Edl dw nig =lw bnÞúkefr nigGefremKuNenAelIElVgEdlEvgCag =dw' bnÞúkGefremKuNenAelIElVgEdlxøI nl nig =nl ' RbEvgénElVgEdlEvgCag nigxøICag erogKña ( )∑ +

=bs

ecec KK

Kα ¬!&>@!¦

m:Um:g;enAkúñgsmIkarTI !&>@@ KYrRtUv)anEbgEckrvagssrxagelI nigxageRkamkMralxNÐ½Rtg; tMNreTAtamsmamaRtPaBrwgRkajrgkarBt;rbs;va ¬rUbTI 17>24¦. sMrab;ElVgEdlesμ IKña 22 'll = nig nn ll '= ( )2

25.007.0 nlu llwM = ¬!&>@# a ¦ ( )

⎟⎟⎠

⎞⎜⎜⎝

⎛+

=

ec

nlu

llwM

α11

5.008.0 22 ¬!&>@@ b ¦

karbegáItsmIkarTaMgenHedayQrenAelIkarsnμt;fabnÞúkGefrBak;kNþaleFVIGMeBIenAelIElVg EvgCag b:uEnþbnÞúkGefreFVIGMeBIenAelIElVgTaMgBIr. smIkar !&>@@ k¾GacRtUv)anGnuvtþsMrab;ssrxag eRkA edaysnμt;faRbEvgElVgEdlxøICagKW 0 ¬rUbTI 17>25¦.

T.Chhay NPIC


10> karbMElgm:Um:g;minesμIeTAkñúgssr Transfer of Unbalanced Moments to Columns

10>1> karbMElgm:Um:g; Transfer of Moment

T.Chhay NPIC


kñúgkarviPaKeRKagsmmUl (equivalent frame) enAkñúgGKar m:Um:g;ekItmanenARtg;tMN kMral xNÐ½-ssr EdlekItBIkMlaMgxagdUcCa kMlaMgxül; kMlaMgrBa¢ÜydI b¤kMlaMgTMnajmines μI (unbalanced

gravity load) edayeFVIeGaymanm:Um:g;;mines μ IenAkñúgkMralenAelIRCugEdlpÞúynwgssr. mYycMENkén m:Um:g;minesμ IRtUv)anbMElgeTAssredaykarBt; ehIycMENkEdleFVIeGaym:Um:g;manlMnwgRtUv)anbBa¢Ún edaykMlaMgkat;bBaÄrEdlmanGMeBIenAelImuxkat;eRKaHfñak;sMrab;kMlaMgkat;pug. RbEhl %60 énm:U m:g;EdlRtUv)anbMElgeATcugssrTaMgsgçagRtg;tMNRtUv)anbMElgedaykarBt; ehIy %40 EdlenA sl;RtUv)anbMElgedaykMlaMgkat;cakp©it ¬b¤kMlaMgrmYl¦ enARtg;muxkat;EdlmanTItaMg 2/d BIépÞ ssr. ACI Code, Section 13.5.3 bgðajfacMENkén unbalanced moment EdlRtUv)anbMElg edaykarBt; fM enARtg;tMNkMralxNÐ½-ssrEdlRtUv)anKNnadUcxageRkam³ uff MM γ= ¬!&>@$¦

2

1

2

1321

1

321

1

bb

dcdc

f

+

=

⎟⎟⎠

⎞⎜⎜⎝

⎛

++

+

=γ ¬!&>@%¦

ehIym:Um:g;EdlbMElgedaykMlaMgkat;TTwgKW ( ) fuufv MMMM −=−= γ1 ¬!&>@^¦ Edl 1c nig 2c CaRbEvgrbs;RCugBIrénssrctuekaN b¤ssrctuekaNEkgsmmUl/ )( 11 dcb += nig

( )dcb += 22 . enAeBlEdl 21 cc = / uf MM 6.0= ehIy uv MM 4.0= . 10>2> karRbmUlpþúMsrésEdkenAelIssr Concentration of Reinforcement Over the

column sMrab;karbMElgm:Um:g;edaypÞal;eTAssr vaCakarcaM)ac;kñúgkarRbmUlpþúMsrésEdkdak;kñúgcMerok ssrkñúgTTwgkMNt;mYyenAelIssr, Epñkénm:Um:g;EdlbMElgedaykarBt; fM RtUv)anBicarNaeGay eFVIGMeBItamry³TTwgkMralxNÐ½es μ InwgTTwgssr 2c bUknwg sh15.1 enARKb;RCugTaMgGs;rbs;ssr b¤ tamry³TTwgkMralxNÐ½es μ Inwg ( )shc 32 + (ACI Code, Section 13.5.3). srésEdkGacRtUV)anRb mUlpþúMenAelIssredayKMlatCit²Kña b¤edayeRbIsrésEdkbEnßm. 10>3> kugRtaMgkMlaMgkat;EdlbNþalBI fM Shear Stress Due to fM kugRtaMgkMlaMgkat;EdlbegáItedaycMENkén unbalanced moment vM RtUv)anpSMeLIgCa mYynwgkugRtaMgkMlaMgkat;EdlbegáItedaykMlaMgkat; uV Edl)anBIkMlaMgbBaÄr. kugRtaMgkMlaMgkat;

T.Chhay NPIC


TaMgBIrRtUv)ansnμt;eGayeFVIGMeBIenACMubrievNbøg;EdlmanTItaMgenAcMgay 2/d BIépÞssrdUcbgðajenA kñúgrUb 17>26. smIkarsMrab;KNnakugRtaMgkMlaMgkat;KW³

c

v

c

uJ

CMAV

v ±=2,1 ¬!&>@&¦

Edl =cA RkLaépÞmuxkat;eRKaHfñak;enACMuvijssr =cJ m:Um:g;niclPaBb:UElénRkLaépÞEdlRsbeTAnwgm:Um:g;EdlmanGMeBIbEnßmBIelIm:Um:g;nicl

PaBénmuxkat;xagcugEdleFobnwgGkS½TIRbCMuTMgn;énmuxkat;eRKaHfñak;.

sMrab;ssrxagkñúg ( )yxdAc += 2 ¬!&>@*¦ nig

632

32

3 xdyxxdJc +⎟⎟⎠

⎞⎜⎜⎝

⎛+= ¬!&>@(¦

T.Chhay NPIC


sMrab;ssrxageRkA ( )yxdAc += 2 ¬!&>#0¦ nig ( )

62

32 3

21

3 xddxyxdxJc ++−= ¬!&>#!¦ Edl 1x / 2x nig y Rtuv)anbgðajenAkñúgrUbTI 17>26. kugRtaMgkMlaMgkat;Gtibrma

cvcu JCMAVv += /1 RtUvEttUcCag 3'cfφ ebImindUecñaHeT EdkTb;kMlaMgkat;RtUv)andak;. ]TahrN_TI17>8³ kMNt;m:Um:g;enAelIssrxagkñúg nigxageRkAkñúgTisedAEvgrbs; flat plate kñúg TahrN_TI 17>4. dMeNaHRsay³

1> kMNt;m:Um:g;ssrxageRkA. BI]TahrN_TI 17>4 nig 17>5 2/3.975.72.1 mkNwd =×=

2/84.38.46.15.05.0 mkNwl =××= mll 6'22 == mll nn 7' == 96.111 =⎟⎟

⎠

⎞⎜⎜⎝

⎛+

ecα

Unbalanced moment EdlRtUvbMElgeTAssrxageRkAedayeRbIsmIkar !&>@@ b KW ( )[ ] mkNM u .7.15707684.33.9

96.108.0 2 =−×+=

RbsinebIsmIkar !&>@@ a RtUv)aneRbI/ mkNM u .4.270= EdlCatMélEdlsnSMsMéc. 2> enATMrxagkñúg PaBrwgRkajrbs;kMralenAsgçagssrRtUv)aneRbIedIm,IKNna ecα ³

( )∑ +=

bs

ecec KK

Kα ¬!&>@!¦

BI]TahrN_TI 17>5/ 61034.4 ⋅= cec EK / 61017.4 ⋅= cs EK nig 0=bK dUcenH 52.0

1017.421034.4

6

6=

⋅×

⋅=

c

cec

EE

α

92.211 =⎟⎟⎠

⎞⎜⎜⎝

⎛+

ecα

BIsmIkar 17>22 b m:Um:g; unbalance enAssrxagkμñúgKW³ ( )[ ] mkNM u .93.30763.97684.33.9

92.208.0 22 =××−×+=

RbsinebIsmIkar !&>@@ a RtUv)aneRbI/ mkNM u .79= EdlCatMélEdlsnSMsMéc. ]TahrN_TI17>9³ sMrab; flat plate kñúg]TahrN_TI 17>4 KNnakugRtaMgkMlaMgkat;enAkñúgkMralxNÐ½ Rtg;muxkat;eRKaHfñak;EdlbNþalBI unbalanced moment nigkMlaMgkat;TTWgenAelIssrxagkñúg nig

T.Chhay NPIC


ssrxageRkA. RtYtBinitükarRbmUlpþúMsrésEdk nigkMlaMgrmYlkñúgrbs;ssrxageRkA. eKeGay MPaf c 28' = nig MPaf y 420=

dMeNaHRsay³ 1> m:Um:g;EdleFVIeGayK μanlMnwg (unbalanced moment) enAssrxagkñúgKW mkNM u .93.30=

¬]TahrN_ TI 17>8¦ Edl 6.0=fγ ¬edaysar cmcc 5021 == ¦. m:Um:g;EdlRtUvbMElgedaykarBt;KW mkNMM uff .56.1893.306.0 =×== γ m:Um:g;EdlbMElgedaykMlaMgkat;KW mkNMMM fuv .37.1256.1893.30 =−=−= müa:gvijeTot m:Um:g;E;dlKNnaBIsmIkar !&>@@ a GacRtUv)aneRbIedIm,IbegáItkugRtaMgkMlaMgkat; FMCag. edayeRbI cmd 2.22= ¬]TahrN_TI 17>4¦

( ) kNVu 1.756722.05.7617 2 =−×= BIrUbTI 17>27

24.64112.222.724 cmAc =××=

632

32

3 xdyxxdJc +⎟⎟⎠

⎞⎜⎜⎝

⎛+=

( ) 46323

107.52.226

2.722.722.7232.72

22.22 cm⋅=+⎟

⎟⎠

⎞⎜⎜⎝

⎛+=

224max /1258

107.52722.037.12

104.64111.756 mkNv =

⋅

×+

⋅=

−−

2min /110034.783.1179 mkNv =−=

22 /1258/1323323.13/2875.03/' mkNmkNMPafv cc >==== φφ 2> sMrab;ssrxageRkA unbalanced moment EdlRtUvbMElgedaykarBt; fM enARtg;tMN

kMralxNÐ½-ssrKWes μ Inwg uf Mγ Edl mkNM u .7.157= . cMNaMfa cmcc 5021 == / cmd 2.22= enAkñúgTisedAEvg nig 6.0=fα sMrab;ssrkaer.

mkNM f .6.947.1576.0 =×= m:Um:g;EdlRtUvbMElgedaykMlaMgkat;TTwgKW

mkNMMM fuv .1.636.947.157 =−=−=

T.Chhay NPIC


T.Chhay NPIC


3> sMrab;karbMElgedaykMlaMgkat;enAssrxageRkA muxkat;eRKaHfñak;sßitenAcMgay 2/d BIépÞssr ¬rUbTI 17>28¦.

2/17 mkNwu = ( ) kNVu 390722.0611.09.3617 =×−×=

kMNt;TItaMgTIRbCMuTMgn;rbs;muxkat;eRKaHfñak;edayKitm:Um:g;eFob AB ( ) lx2.721.612

21.611.612 +×=⎟⎠⎞

⎜⎝⎛ ×

dUcenH cmxl 2.19= . RkLaépÞmuxkat;eRKaHfñak; cA KW ( ) 27.43152.721.6122.22 cm=+× . KNna yxc IIJ += sMrab;RkLaépÞesμ IKñaBIr 1.612.22 × EdlmanRCugRsbeTAnwgTisedAén m:Um:g; CamYynwgRkLaépÞ 2.722.22 × EkgeTAnwgTisedArbs;m:Um:g;. m:Um:g;niclPaBénRkLa épÞTaMgBIrRtUvKiteFobnwgGkS½ CD .

∑ ⎟⎟⎠

⎞⎜⎜⎝

⎛+=+= 2

3

12AxbhIIJ yxc

2323

2.192.222.722.2212

1.612.192

1.611.612.2212

1.612.222 ××++⎥⎥⎦

⎤

⎢⎢⎣

⎡⎟⎠⎞

⎜⎝⎛ −×+=

461084.1 cm⋅= b¤edayeRbIsmIkar !&>#! sMrab;ssrxageRkA. KNNakugRtaMgkMlaMgkat; nominal Gtibrma nigGb,brmaedayeRbIsmIkar !&>@&³

224max /1.1562

1084.1192.01.63

107.4315390 mkN

JCM

AV

vc

v

c

u =⋅

×+

⋅=+=

−−

2min /3.2454.6587.903 mkN

JCM

AV

vc

v

c

u =−=−=

22 /1.1562/1323323.13/2875.03/' mkNmkNMPafv cc <==== φφ kugRtaMgkMlaMgkat;TTwgFMCagkugRtaMgkMlaMgkat;GnuBaØat dUcenHeKRtUvbegáInkMras;kMralxNÐ½ b¤eRbIEdkTb;kMlaMgkat;.

4> RtYtBinitükarRbmUlpþúMsrésEdkenAssrxageRkA KWRtYtBinitüPaBRKb;RKan;rbs;lT§PaBTb; karBt;rbs;muxkat;edIm,IbMElgm:Um:g;GviC¢maneTAkñúgssrxageRkA. muxkat;eRKaHfñak;rbs;kM ralxNÐ½RtUv)anbnøay sh5.1 enAelIRCugnImYy²rbs;ssr EdleGayTTwg ( )25350 ×+

cm125= nigkMras; cm25 . m:Um:g;srubenAkñúgTTwgcMerokelIssr m3 KW mkN.4.162

T.Chhay NPIC


Edl)anKNnaenAkñúg]TahrN_TI 17>4 ¬CMhan %¦. m:Um:g;enAkñúgTTwg cm125 KWesμ Inwg

3001254.162 mkN.67.67= .

RbsinebIeKeRbIKMlatEdkes μ I²KñaenAkñúgcMerokelIssr enaHeKRtUvkarbrimaNEdkbEnßmenAkñúg TTwg cm125 sMrab;m:Um:g;Edlesμ Inwg mkNM f .93.2667.676.9467.67 =−=− . brimaN EdkcaM)ac; 2340mmAs = dUcenH 124DB ¬ 2452mm ¦ GacRtUv)aneRbI. dMeNaHRsayepSgeTotKWedIm,ItMerobEdkenAkñúgcMerokelIssredIm,IbegáInbrimaNEdkenAkñúgTTwkcMerok cm125 . brimaNEdkcaM)ac;enAkñúgTTwgcMerokKYrRKb;RKan;edIm,ITb;nwgm:Um:g;Edlesμ Inwg

6.0 dgénm:Um:g;GviC¢manenAkñúgcMerokelIssr b¤ mkN.44.974.1626.0 =× .

⎟⎠⎞

⎜⎝⎛ −

=

2adf

MA

y

us

φ sn μt; mma 25=

26

1230

2252224209.0

1044.97 mmAs =⎟⎠⎞

⎜⎝⎛ −×

⋅=

RtYtBinitü³ mmbf

fAa

c

ys 4.1712502885.0

4201230'85.0

=××

×==

eRbI 1211DB enAkñúgTTwg cm125 edayEckesμ IKñasgçagssredayKitBIGkS½ssr ¬rUbTI 17>29¦. kardak;EdkbEnßm 124DB Edl)anbgðajxagelICadMeNaHRsaykan;EtRbesI.

5> kMlaMgrmYlenAkñúgkMralxNÐ½³ kMlaMgrmYlBIRCugTaMgsgçagrbs;ssrxageRkAesμ Inwg %40

énm:Um:g;elIcMerokTTwg.

T.Chhay NPIC


mkNTu .96.644.1624.0 =×= kMlaMgrmYlenAelIRCugmçag³ mkN.48.32

296.64

= TTwgénmuxkat;kMralxNÐ½Edlesμ InwgTTwgssrRtUv)ansn μt;eGayTb;nwgkugRtaMgrmYl³ ∑= yxvT tuu

331

Edl cmx 25= nig cmy 50= . muxkat;eRKaHfñak;KWenAcMgay d BIépÞssr ¬rUbTI 17>30¦ . edaysnμt;fakMlaMgrmYlERbRbYlmanragCaExSekag)a:ra:bUleTAGkS½kMralxNÐ½ enaHkMlaMgrmYl enAcMgay d KW³

mkNTu .42.285.3

222.05.348.322=⎟

⎠⎞

⎜⎝⎛ −

=

sMrab;ersIusþg;Tb;karrmYlrbs;ebtug 212505025 cmAcp =×= / ( )50252 +=cpP cm150= tamsmIkar !%>!( ( ) ( )15003/101012502875.0 622 ×⋅⋅= −

cpTφ mkN.78.13= / mkNmkNTa .42.28.445.34/78.13 <== .

eKRtUvkarEdkTb;kMlaMgrmYl. EdkkgbiTCitcaM)ac; nigEdkbeNþaybEnßmRtUv)anKNnadUc Bnül;enAkñúgemronTI 15. muxkat;cugeRkayRtUv)anbgðajenAkñúgrUbTI 17>30. vaCakarRb esIrRbsinebImanFñwmxagenAssrxageRkAedIm,IbegáInPaBrwgRkajTb;karrmYlrbs;kMralxNÐ½.

]TahrN_TI17>10³ kMNt;brimaNEdkTb;kMlaMgkat;TTwgcaM)ac;sMrab;kMral flat plate xagkñúgeday BicarNadUcteTA³ kMlaMgkat;put kNVu 870= / kMras;kMralxNÐ½ cm23= / cmd 19= /

MPaf c 28' = / ehIyTMhMssrKW cm5050× . dMeNaHRsay³

T.Chhay NPIC


1> kMNt; 3/' dbfV occ φφ = sMrab;kMlaMgkat;BIrTis ( ) ( ) cmdbo 27619504504 =+=+=

kNVc 7.6933/1019027602875.0 3 =⋅××= −φ edaysar cu VkNV φ>= 870 EdkTb;kMlaMgkat;TTwgRtUvkarcaM)ac;.

2> cVφ GnuBaØatGtibrma EdleRbIEdkkMlaMgkat;TTwges μ Inwg ucoc VkNVdbf >== 6.1040)(5.12/' φφ EdkTb;kMlaMgkat;TTwgGacRtUv)aneRbI.

3> EdkTb;kMlaMgkat;TTWgGacpSMeLIgedayEdksrés Edkrag dUcCaFñwmGkSr I b¤ special

large-head studs welded to a steel strip ¬emIlrUbTI 17>9¦. kñúg]TahrN_enH dMeNaHEdl minéføedayeRbIEdkTb;kMlaMgkat;FmμtaRtUv)anTTYlykmkeRbI ¬rUbTI 17>9 f ¦. EdkTb;kM laMgkat;TTwgRtUv)andak;enAelIRCugTaMgbYnrbs;ssrxagkñúg ¬b¤bIRCugsMrab;ssrxageRkA¦ sMrab;RbEvg ad + ¬rUbTI 17>31¦. cMgay a RtUv)ankMNt;edayeGay uc VV =φ enAmux kat; ob EdlbgðajedayExSdac; nigsn μt;fa 6/' dbfV occ φφ = .

( ) ( )aacbo 2500424 +=+= ( ) 8700006/190250042875.0 =+× a

enATIenH cma 87= ehIy ( ) cmda 106=+ dUcenHyk cm110 .

T.Chhay NPIC


4> KNnaEdkkMlaMgkat;TTwg³ ( ) kNVVV cus 3.1767.693870 =−=−= φφ

kNVs 235= sV sMrab;épÞmYyrbs;muxkat;eRKaHfñak; kN

Vs 75.584=

eRbI 10DB EdkkgGkSr U / 2157mmAv = ¬sMrab;eCIgBIr¦. KMlatKW syv VdfAs /= mm21358750/190420157 =××= . KMlatGtibrmKW mmd 952/1902/ == / yk

mms 90= . 5> karEbgEckEdkkg³ cMnYnEdkkgkñúgmYyRCugrbs;ssrKW 2.129/110 = b¤ 13kg.

cMgaysrubKW mm11709013 =× ¬rUbTI 17>31¦ ]TahrN_TI17>11³ Flat-Slab Floor System edayeRbIviFI direct design method KNnaRbePTkMralxNÐ½ flate slab xagkñúgEdlmanEt drop

panel ehIyvamanTMhM m65.7 × ¬rUbTI 17>32¦. RKb;kMralTaMgGs;RtUv)anRTedayssrTMhM cm5050× RbEvg m6.3 . kMralxNÐ½RTnUvbnÞúkBRgayes μ IGefrKμanemKuN 2/8.4 mkN nigbnÞúkefr

K μanemKuN 2/15.1 mkN edayK μanrYmbBa©ÚlTMgn;pÞal;. eKeGay MPaf c 28' = nig MPaf y 420= ¬dMeNaHRsayKWRsedognwg]TahrN_TI 17>3¦. dMeNaHRsay³

1> kMNt;kMras;kMral nigkMral; drop panel a. RbEvg clear span KW m75.05.7 =− . sMrab;kMralxageRkA tMélGb,brmarbs;

33/nlh = cm2.21= b:uEnþkMralxagkñúg tMélGb,brmarbs; cmlh n 4.1936/ == . eRbIkMralxNÐ½EdlmankMral cm20 kMras;TMlak;cuHBIeRkamkMralxNÐ½KW cmh 54/ = dUcenHkMras; drop panel KW cm25 .

b. TMhMrbs; drop panel KW mL 25.16/5.76/ == sMrab;TisnImYy²BIGkS½rbs;TMrkñúgTis edAEvg nig m16/6 = enAkñúgTisedAxøI. dUcenHTMhMsrubrbs; drop panel KW m25.2 × ¬rUbTI 17>32¦.

2> KNnabnÞúkemKuN³ 2/15.6252.015.1load slab mkN=×+=

2/06.158.46.115.62.1 mkNWu =×+×=

T.Chhay NPIC


2/4.72525.015.1load panel drop mkN=×+= 2/56.168.46.14.72.1 mkNWu =×+×=

edaysarEt drop panel manRbEvg 3/L kñúgTisnImYy² tMélmFüm 2/56.1556.16

3106.15

32 mkNWu =+=

3> RtYtBinitükMlaMgkat;BIrTis ¬enAcMgay 2/d BIépÞssr¦³ a. enAkñúg drop panel ³ cmd 2.228.0225 =−−=

( ) cmbo 8.2882.22504 =+= ( )[ ] kNVu 692722.065.756.15 2 =−×= ( ) uocc VkNdbfV >=⋅×== − 1.84810222288828

375.0'

33φφ

b. enAkñúgkMral³ cmd 2.178.0220 =−−= ehIy ob RtUv)anvas;ecjBI drop panel

enAcMgay cm6.82/2.17 = . ( ) ( ) cmbo 8.9682.1720022.172502 =+++=

[ ] kNVu 9.609172.2672.265.756.15 =×−×= ( ) uocc VkNdbfV >=⋅×== − 220410172968828

375.0'

33φφ

c. kMlaMgkat;mYyTisminmaneRKaHfñak;. 4> KNnam:Um:g;sþaTicsrubenAkñúgTisEvg nigTisxøI

22

/8.57187656.15 mkNM ol =

×=

22

/3.4418

5.55.756.15 mkNM os =×

= TTwgrbs;cMerokelIssrkñúgTisnImYy²KW cm300

2600

= b:uEnþTTwgrbs;cMerokkNþal KW cm300 kñúgTisedAEvg nig cm450 kñúgTisedAxøI.

5> KNnam:Um:g; nigsrésEdkRtUv)anbgðajtarag 17>11. eRbIkMBs;RbsiT§PaBmFüm mmd 21040250 =−= sMrab;cMerokelIssr nig mmd 16040200 =−=

sMrab;cMerokkNþal. karBRgaysrésEdklMGitmanlkçN³RsedogKñakñúg]TahrN_ flat

plate.

T.Chhay NPIC


tarag 17>11> karKNnaRbBn§½kMral flat slab xagkñúg TisEvg

mkNM ol .8.571= cMerokelIssr cMerokkNþal emKuNm:Um:g; oM49.0− oM21.0 oM16.0− oM14.0

).( mkNM u -280.2 120.0 -91.5 80.0

TTwgcMerok )(mmb 3000 3000 3000 3000

kMBs;RbsiT§PaB )(mmd 210 160 160 160

)(2 MPabdM

R uu = 2.12 1.56 1.19 1.04

PaKryEdk (%)ρ 0.59 0.43 0.32 0.28

)( 2= mmbdAs ρ 3717 2064 1536 1344

)(0018.0(min) 2mmbhA ss = 1350 1080 1080 1080

EdkEdleRCIserIs ¬Rtg;¦ 19DB16 11DB16 14DB12 12DB

TisxøI mkNM os .3.441= cMerokelIssr cMerokkNþal

emKuNm:Um:g; oM49.0− oM21.0 oM16.0− oM14.0 ).( mkNM u -216.2 92.7 -70.6 61.8

TTwgcMerok )(mmb 3000 3000 4500 4500

kMBs;RbsiT§PaB )(mmd 210 160 160 160

)(2 MPabdM

R uu = 1.63 1.21 0.61 0.54

PaKryEdk (%)ρ 0.45 0.33 0.16 0.14

)( 2= mmbdAs ρ 2835 1584 1152 1008

)(0018.0(min) 2mmbhA ss = 1350 1080 1620 1620


T.Chhay NPIC


T.Chhay NPIC


11> kMralxNÐ½ Waffle Waffle Slabs

RbBn§½kMralxNÐ½ waffle slab BIrTispSMeLIgedayrnUtebtugEdlFm μtaRbsBVKñaCamMuEkg. kM ralxNÐ½enHGacsagsg;edayK μanFñwm EdlkñúgkrNIenHk,alssrtan;RtUv)aneFVIenAelIssredIm,Ikar BarkarpugEdlbNþalBIkMlaMgkat;. FñwmTUlayk¾GacRtUv)aneRbIenAeLIGkS½ssrsMrab;kMBs;esμ I. Bum<canEdkragkaer b¤ fiberglass pan RtUv)aneRbICaTUeTAedIm,IbegáItRTnug. kMralxNÐ½esþIgkMras;

mm75 eTA mm125 RtUv)ancak;CamYyRTnugedIm,IbegáItCa waffle slab. kMralnImYy²RtUv)anEbgEckCacMerokelIssr nigcMerokkNþþal. cMerokelIssrrYmbBa©ÚlRT nugTaMgGs;EdlCab;eTAnwgk,alssrtan; ehIycMerokkNþalsßitenAcenøaHcMerokelIssr. EdkRtg; b¤EdkBt;GacRtUv)aneRbICaEdkBRgwgenAkñúg waffle slab. karKNna waffle slab BIrTismanlkçN³ RsedogKñanwgkarKNna flat slabEdr edayKitk,alssrtan;Ca drop panel. edIm,IkarBarkMlaMgTaj FMenAkñúgk,alssr eKRtUveRbITMhMssrFMRKb;RKan; b¤dak; shear cap. kñúgkarKNna waffle slab kMralxagelI nigrnUtnImYy²begáItCamuxkat;GkSret Edles μ IkMBs; kñúg flat plate. dUcenH ElVgEvgEdlRTbnÞúkF¶n;GacRtUv)anKNnaCamYynwgkarsnSMsMécebtug)aneRcIn. kMral waffle slab k¾)anpþl;nUvBidand¾KYreGayTak;Taj Edl)anBIkarelcecjnUvRTnug b¤edaykar lMGrePøIg. kMralsþg;darénBum<canEdlRtUv)aneRbICaTUeTAenAkñúg waffle slab GacsßitenAkñúgCMerIsBIr xageRkam³

T.Chhay NPIC


1> Bum<cankaerTMhM cmcm 7575 × CamYynwgkMras;kMral mm75 nigTTwgrnUt mm150 manKM

lat cm90 KitBIGkS½. sþg;darRbePTenH mankMBs;ERbRbYlBI mm200 eTA mm500 eday ekIneLIgmþg mm50 . eyagtam]TahrN_TI17>12 nigrUbTI 17>33.

2> Bum<cankaerTMhM cmcm 4848 × CamYynwgkMras;kMral mm75 nigTTwgrnUt mm125 manKM lat cm60 KitBIGkS½. sþg;RbePTenH mankMBs;ERbRbYlBI mm150 eTA mm300 eday ekIneLIgmþg mm50 . B’t½manepSg²BIkMralRtUv)anbgðajenAkñúgtarag 17>12.

T.Chhay NPIC


tarag 17>12 lkçN³muxkat;

sMrab;rnUt ¬Bum<canTMhM cmcm 7575 × ¦ kMralxagelI

( )mm kMBs;rnUt

)(mm maDxül;

( )panmm /10 36×

RkLaépÞ ( )2410 mm×

cgY

( )mm gI

( )4810 mm×

75 200 107.4 10.09 81.91 5.45 75 250 132.7 11.04 98.58 9.02 75 300 157.4 12.02 116.54 13.85 75 350 181.4 13.05 135.4 20.08 75 400 204.9 14.12 155 27.88 75 500 250 16.39 195.7 48.8 115 200 107.4 13.69 95.12 8.25 115 250 132.7 14.64 109.4 12.89 115 300 157.4 15.62 141.8 19.06 115 350 181.4 16.65 141.8 26.95 115 400 204.9 17.72 159.45 36.72 115 500 250 19.99 196.88 62.59

T.Chhay NPIC


sMrab;rnUt ¬Bum<canTMhM cmcm 4848 × ¦ 75 150 32 6.56 72.14 2.31 75 250 42.01 7.33 89.11 4.25 75 250 51.57 8.15 107.57 7.03 75 300 60.75 90 127.08 10.78 115 150 32 8.96 87.47 3.84 115 250 42.01 9.73 102.21 6.44 115 250 51.57 10.55 118.53 10.08 115 300 60.75 11.4 136.12 14.91

]TahrN_TI17>12³ Waffle Slab KNnaRbBn§½kMralxNÐ½ waffle floor EdlpSMeLIgedaykMralkaerK μanFñwmedayKitnUvTinñn½yxagRkam ¬rUbTI 17>33¦³

RbEvgElVgedayKitBIGkS½ssreTAGkS½ssr= m10 TTwgrnUt = mm150 manKMlat mm900 BIGkS½eTAGkS½ kMBs;rnUt = mm350 kMras;kMralxNÐ½ = mm75 TMhMssr = mm500500× bnÞúkefr ¬minrYmbBa©ÚlbnÞúkpÞal;¦= 2/4.2 mkN bnÞúkGefr= 2/8.4 mkN MPaf c 35' = MPaf y 420=

dMeNaHRsay³ 1> KNnakMras;Gb,brmarbs;kMralxNÐ½edayeRbItarag 17>1³ 30/min nlh = / 5.010 −=nl

m5.9= / mh 317.030/5.9min == sMrab;kMralxagkñúg ehIy mlh n 288.033/min == sMrab;kMralxagkñúg. smIkar !&>! nig !&>@ GacRtUv)aneRbI. edaysn μt;kMBs;srub mm425 EdlrYmmankMralkMras; mm75 nigrnUtkMBs; mm350 .

2> KNnabnÞúkEdlmanGMeBIenAelI waffle floor ³ a. bnÞúkemKuNénEpñktan;enAelIssr 2/75.1225425.02.1 mkN=××= b. maDxül;rbs;rnUtkMBs; mm350 KW 36104.181 mm⋅ elIRkLaépÞ 2900900 mm× .

TMgn;srubrbs;épÞ 2810000mm KW ( ) kN89.410104.1814251081252.1 964 =⋅⋅−×⋅× −

b¤TMgn;kñúg 21m KW 2/89.4 mkN

T.Chhay NPIC


c. bnÞúkefrbEnßmemKuNnigbnÞúkGefremKuNKW 2/56.108.46.14.22.1 mkN=×+× . bnÞúkBRgayes μ IemKuNenAelIépÞtan; 2/5.2331.2375.1256.10 mkNwu ≈=+= bnÞúkBRgayenAemKuNenAelIépÞelIrnUt 2/5.1545.1589.456.10 mkNwu ≈=+=

d. bnÞúkenAelImYykMral ¬eyagtamrUbTI 17>34¦³ enAelIépÞtan; mkNW /8.1834.65.156.35.23 =×+×=

enAelIépÞelIrnUt mkNW /155105.15 =×= 3> KNnakMlaMgkat; nigm:Um:g;sþaTicsrub³

kNVu 89.7802.315555.18.183)column of faceat ( =×+×= mkNM o .2.1783

22.3155975.355.18.18375.489.780)midspanat (

2=−××−×=

4> RtYtBinitükMlaMgkat;pug ¬eyagtamrUbTI 17>35¦³ a. enAkñúgépÞtan;enAcMgay 2/d BIépÞssr mmh 425= / mmd 39530425 =−= /

mmc 500)column( = / ( ) mmbo 35803955004 =+= / kNVu 9.1634895.05.236.38.1834.6155 2 =×−×+×= nig

( ) uocc VkNdbfV >=×== 19523/39535803575.03/'φφ b. enAkñúgépÞelIrnUtenAcMgay 2/d BIRCugrbs;épÞtan;. kMras;kMralKW mm75 . yk

mmd 60= enaH ( ) mmbo 154406038004 =+=

kNVu 1304860.35.236.38.1834.6155 2 =×−×+×= ( ) uocc VkNdbfV >=×== 13703/60154403575.03/'φφ

5> KNnam:Um:g; nigsrésEdk a. kMralxageRkA³ mkNM o .2.1783=

m:Um:g;GviC¢manxageRkA mkNM o .6.46326.0 −== m:Um:g;viC¢man mkNM o .3.92752.0 == m:Um:g;GviC¢manxagkñúg mkNM o .2.12487.0 −==

b. kMralxagkñúg³ mkNM o .2.1783= m:Um:g;GviC¢man mkNM o .1.115965.0 −== m:Um:g;viC¢man mkNM o .1.62435.0 ==

T.Chhay NPIC


karlMGItBIkarKNnaRtUv)anbgðajenAkñúgtaragTI 17>13 nigrUbTI 17>36. cMNaMfa PaKryEdkTaMgGs;tUc ehIy 9.0=φ

6> KNna unbalanced moment enAkñúgssr nigRtYtBinitükMlaMgkat;sMrab; uV nig vM dUckñúg]TahrN_TI 17>8 nig 17>9.

T.Chhay NPIC


T.Chhay NPIC


tarag 17>13> karKNnakMral waffle slab xagkñúg nigxageRkA ¬rnUt 5enAkñúgcMerokelIssr nigrnUt 6enAkñúgcMerokkNþal¦

cMerokelIssr cMerokkNþal kMralxageRkA xageRkA

M− M± xagkñúg

M− M− M±

emKuNm:Um:g; 100 60 75 25 40

).( mkNM u 463.6 556.4 936.2 312 370.9

TTwgcMerok )(mmb 3800 5000 3800 900 (6 ribs) 5000

kMBs;RbsiT§PaB )(mmd 395 395 395 395 395

)(2 MPabdM

R uu = 0.78 0.71 1.58 2.22 0.48

PaKryEdk (%)ρ 0.21 0.19 0.43 0.61 0.13

)( 2= mmbdAs ρ 3152 3753 6454 2169 2567

)(0018.0(min) 2mmbhA ss = 2907 765/rib 2907 688.5 637.5/rib

EdkEdleRCIserIs ¬Rtg;¦ 11DB20 2DB25/rib 21DB20 7DB20 2DB22/rib

cMerokelIssr cMerokkNþal kMralxagkñúg xageRkA

M− M± xagkñúg M− M− M±

emKuNm:Um:g; - 60 75 25 40

).( mkNM u - 374.5 869.3 289.8 249.6

TTwgcMerok )(mmb - 5000 3800 900 (6 ribs) 5000

kMBs;RbsiT§PaB )(mmd - 395 395 395 395

)(2 MPabdM

R uu = - 0.48 1.47 2.06 0.32

PaKryEdk (%)ρ - 0.13 0.40 0.57 0.09

)( 2= mmbdAs ρ - 2567 6004 2026 1777.5

)(0018.0(min) 2mmbhA ss = - 765/rib 2907 688.5 637.5/rib

EdkEdleRCIserIs ¬Rtg;¦ - 2DB25/rib 20DB20 7DB20 2DB22/rib

T.Chhay NPIC


T.Chhay NPIC


12> viFIeRKagsmmUl Equivalent Frame Method

enAeBlEdlRbBn§½kMralxNÐ½BIrTismineKarBtamkarkMNt;rbs; direct design method m:Um:g; KNnaRtUv)ankMNt;edayviFI equivalent method. enAkñúgviFIenH GKarRtUv)anEckCaeRKagsmmUltam BIrTis nigbnÞab;mkviPaKeRKagkñúgsßanPaBeGLasÞicsMrab;RKb;lkçxNÐénkardak;bnÞúk. PaBxusKñarvag viFITaMgBIrsßitenAelIviFIénkarKNnam:Um:g;tambeNþayrbs;ElVg. tMrUvkarsMrab;karKNnaRtUv)anBnül; dUcxageRkam³

k> karBiBN_naBIeRKagsmmUl³ eRKagsmmUlCaeRKagGKarkñúgbøg; ¬BIrTMhM¦ EdlTTYl)an edaykarkat;GKarkñúglMhM ¬bITMhM¦tambeNþayExSkNþalElVgcenøaHssr ¬rUbTI 17>4¦. eRKagsmmUlEdlTTYl)anRtUv)anBicarNadac;edayELkenAkñúgTisbeNþay nigTisTTwg rbs;GKar. sMrab;bBaÄr kMralnImYy²RtUv)anviPaKdac;edayELk edaysnμt;cugsagelI nig cugxageRkamrbs;ssrRtUv)ansnμt;fabgáb;. kMral-Fñwm (slab-beam) RtUv)ansn μt;fabgáb; enARtg;TMrkMralBIrEdlQmnwgTMrEdleYigRtUvBicarNa BieRBaHbnÞúkbBaÄrcUlrYmCamYym:Um:g; tictYcenARtg;tMNrenaH. sMrab;bnÞúkedk eRKagsmmUlpSMeLIgedaykMralTaMgGs;sMrab; kMBs;TaMgmUlrbs;GKar edaysarkMlaMgenAkMralnImYy²CaGnuKmn_énbnÞúkedkenARKb;kM ralBIelInIv:UEdlRtUvBicarNa. karviPaKeRKagk¾GaceFVIeLIgedaykmμviFIkMuBüÚTr½.

x> karsnμt;bnÞúk³ enAeBlpleFob service live load nig service dead load tUcCagb¤esμ Inwg 75.0 KMrUénkardak;bnÞúk pattern loading RtUv)aneRbIedayBicarNanUvlkçxNÐxageRkam³ - manEt %75 énbnÞúkefremKuNTaMgmUlGacRtUv)aneRbIsMrab;karviPaK. - m:Um:g;Bt;GviC¢manGtibrmaenAkñúgkMralRtg;TMrRtUv)anTTYledaykardak;bnÞúúkEtelIkM

ralxNÐ½BIrEdlCab;Kña. - m:Um:g;viC¢manGtibrmaenAEk,rkNþalElVgRtUv)anTTYledaykardak;bnÞúkEtenAelIElVg

qøas;. - m:Um:g;KNnaminRtUvtUcCagm:Um:g;KNnaEdlekIteLIgedaykardak;bnÞúkemKuNeBjelIkM

ral (ACI Code, Sectoion 13.7.6). - m:Um:g;GviC¢maneRKaHfñak;RtUv)anBicarNaeGaymanGMeBIenARtg;épÞssrctuekaN b¤enA

Rtg;ssrkaersmmUlEdlmanRkLaépÞdUcKñasMrab;muxkat;minEmnctuekaNEkg.

T.Chhay NPIC


K> m:Um:g;niclPaBkMral-Fñwm³ ACI CodekMNt;fakarERbRbYlm:Um:g;niclPaBtamGkS½beNþay ssr nigFñwmkMralRtUv)anykmkKitkñúgkarviPaKeRKag. tMbn;eRKaHfñak;sßitenAcenøaHExS GkS½ssr nigépÞssr/ bracket b¤ capital. tMbn;enHRtUv)anBicarNaCamuxkat;Rkas;énkM ralxNÐ½. edIm,IBicarNakMBs;d¾FMrbs;ssr nigkarkat;bnßyTTwg\T§iBlrbs;vaEdlCab;nwg FñwmkMral ACI Code, Section 13.7.3.3kMNt;fam:Um:g;niclPaBrbs;FñwmkMralrvagGkS½ ssr nwgépÞTMrRtUv)ansnμt;esμ InwgFñwmkMralenARtg;épÞssredayEcknwgtMél ( )2221 lc− Edl 2c CaTTwgssrkñúgTisedATTwg nig 2l CaTTwgrbs;FñwmkMral. RkLaépÞrbs;muxkat; TaMgmUlGacRtUv)aneRbIedIm,IKNnam:Um:g;niclPaBrbs;FñwmkMral.

X> m:Um:g;niclPaBrbs;ssr³ ACI Code, Section 13.7.4 bgðajfam:Um:g;niclPaBrbs;ssr RtUv)ansn μt;faesμ IGnnþBIépÞxagelIrbs;kMraleTA)atrbs; column capital b¤FñwmkMral ¬rUbTI 17>37¦.

g> PaBrwgRkajrbs;ssr ecK RtUv)ankMNt;eday

tcec KKK111

+=∑

¬!&>!&¦

Edl ∑ cK CaplbUkPaBrwgRkajrbs;ssrxagelI nigssrxageRkamenARtg;cugrbs;va ∑

⎟⎟⎠

⎞⎜⎜⎝

⎛−

= 3

2

22 1

9

lcl

CEK es

t ¬!&>!(¦

⎟⎟⎠

⎞⎜⎜⎝

⎛⎟⎟⎠

⎞⎜⎜⎝

⎛−= ∑ 3

63.013 yx

yxC ¬!&>@0¦

c> m:Um:g;ssr³ enAkñúgkarviPaKeRKag m:Um:g;EdlkMNt;sMrab;ssrsmmUl enAcugxagelIssr eRkamkMral nigenA)atssrelIkMralRtUv)aneRbIkñúgkarKNnassr.

q> m:Um:g;GviC¢manenAelITMr³ ACI Code, Section 13.7.7 bgðajfasMrab;ssrxagkñúg m:Um:g;GviC¢ manemKuNRtUv)anykenARtg;épÞssr b¤épÞ capital b:uEnþenAcMgayminFMCag 11175.0 l BI GkS½ssr. sMrab;ssrxageRkA m:Um:g;GviC¢manemKuNRtUv)anykmkKitenARtg;muxkat;Edl sßitenABak;kNþalcMgayrvagépÞssr nigEKmrbs;TMr. ssrmuxkat;mUlRtUv)anKitCassr kaerEdlmanmuxkat;es μ IKña.

C> plbUkm:Um:g;³ RbBn§½kMralxNÐ½BIrTisEdleKarBtamkarkMNt;rbs;viFI direct design

method k¾GacRtUv)anviPaKedayviFI equivalent frame method . edIm,IFanafaviFITaMgBIr

T.Chhay NPIC


pþl;nUvlT§pldUcKña ACI Code, Section 13.7.7 bgðajfam:Um:g;EdlkMNt;edayviFI equivalent frame method GacRtUv)ankat;bnßyedaysmamaRtEdlplbUkénm:Um:g;viC¢man nigm:Um:g;GviC¢manenAkñúgkarKNnaminRtUvFMCagm:Um:g;sþaTicsrub oM .

]TahrN_TI17>13³ edayeRbIviFI equivalent frame method viPaKeRKagKMrUxagkñúgénRbBn§½kMral flate plate EdleGayenA kñúg]TahrN_TI 17>3 EtkñúgTisedAEvg. RbBn§½kMralpSMeLIgedaykMralbYnkñúgTisedAnImYy² Edl kMralnImYy²manTMhM m65.7 × . kMralnImYy²RtUv)anRTedayssrTMhM cm5050× RbEvg m6.3 . Service live load KW 2/8.3 mkN Service dead load KW 2/6 mkN ¬edayrYmbBa©ÚlTaMgTMgn;pÞal; rbs;kMral¦. eKeGay MPaf c 21' = / MPaf y 420= . FñwmxagminRtUv)aneRbI. ¬rUbTI 17>38¦ dMeNaHRsay³

1> kMras;kMralxNÐ½ cm25 RtUv)aneRCIserIs dUcEdlBnül;kñúg]TahrN_TI 17>3. 2> bnÞúkemKuNKW 2/28.138.36.162.1 mkNwu =×+×=

pleFob Service dead load elI Service live load KW 75.063.06/8.3 <= . dUcenHeRKag GacRtUvKNnaCamYynwgkarbnÞúkemKuN uw eGaymanGMeBIRKb;kMralCMnYseGaykarBRgay bnÞúktamKMrUénkardak;bnÞúk.

3> kMNt;PaBrwgRkajrbs;kMral sK ³

s

ss l

EIkK =

T.Chhay NPIC


Edl k CaemKuNPaBrwgRkaj nig 43

332 1081.7

1225.06

12m

hlI s

s−⋅=

×==

emKuNPaBrwgRkajGacRtUv)ankMNt;edayviFI column analogy method

EdlRtUv)anBnül;enAkñúgesovePAviPaKrcnasm<n½§ (structural analysis). edayKitfam:Um:g;niclPaBsMrab;kMral sI esμ Inwg 0.1 dUckñúgrUb m:Um:g;niclPaBrvagGkS½ssr nigépÞssrKW

19.1

60005001

0.1

1

0.122

2

2

=

⎟⎠⎞

⎜⎝⎛ −

=

⎟⎟⎠

⎞⎜⎜⎝

⎛−

lc

TTwgén analogous column ERbRbYlCamYy I/1 dUcbgðajenAkñúgrUbTI 17>38 b ³ 19.1/1 84.0=

emKuNPaBrwgRkajkMral ⎟⎟⎠

⎞⎜⎜⎝

⎛+=

aa IMc

Alk 11 ¬!&>#@¦

Edl =aA RkLaépÞénmuxkat; analogous column

=aI m:Um:g;niclPaBrbs; analogous column

=M m:Um:g;EdlekItBIbnÞúkÉktþaenAsrésxageRkAbMputén analogous column

EdlenAGkS½rbs;kMral.

20.1 1lM ×=

42.742.0784.025.027 =+=××+=aA centerline about the portion) end of()7m ofportion slabfor ( IIIa +=

1.342250.075.342.0

127 23

=⎟⎠⎞

⎜⎝⎛ −+=aI

edayecalm:Um:g;niclPaBénGgát;xøIxagcugeFobnwgTIRbCMuTMgn;rbs;va. emKuNPaBrwgRkaj 1.409.301.1

1.3475.375.31

42.715.7 =+=⎥⎦

⎤⎢⎣⎡ ××

+=k

emKuN carryover 507.01.4

01.109.3=

−=

dUcenH PaBrwgRkajrbs;kMralxNÐ½KW EEKs3

31027.4

5.71081.71.4 −

−⋅=

⋅×=

T.Chhay NPIC


4> kMNt;PaBrwgRkajrbs;ssr/ cK ³

2' ×⎟⎟⎠

⎞⎜⎜⎝

⎛=

c

cc l

EIkK

T.Chhay NPIC


sMrab;ssrenABIelI nigBIeRkamkMral. ='k emKuNPaBrwgRkajrbs;ssr mlc 6.3= 43

4102.5

125.0 mIc

−⋅== emKuNPaBrwgRkaj 'k GacRtUv)ankMNt;dUcxageRkam³

⎟⎟⎠

⎞⎜⎜⎝

⎛+=

aac I

McA

lk 1'

sMrab;ssr 2/clc = nig ( ) 220.1 cc llM == 35.325.06.3 =−=−= sca hlA ( )

133.31235.3

12

33==

−= sc

ahl

I

8.4133.3

8.18.135.316.3' =⎟

⎠⎞

⎜⎝⎛ ×

+=k

EEKc 0139.026.3

102.58.43

=⋅

=−

enAkñúg flat-plate floor system PaBrwgRkajrbs;ssr cK GacRtUv)anKNnaedaypÞal; dUcxageRkam ( ) ( )3

23

cc

cc

sc

c

c

c

hllI

hlI

EK

−+

−= ¬!&>##¦

5> KNnaPaBrwgRkajTb;karrmYl tK rbs;kMralenARtg;épÞrbs;ssr

32

2 1

9

⎟⎟⎠

⎞⎜⎜⎝

⎛−

= ∑

c

cst

lc

l

CRK ehIy ∑ ⎟⎟

⎠

⎞⎜⎜⎝

⎛−=

363.01

3 yxyxC

enAkñúg]TahrN_enH mmx 250= ¬kMras;kMralxNÐ½¦ nig mmy 500= ¬TTWgssr¦ emIlrUbTI 17>17.

433

1042.33

5.025.05.025.063.01 mC −⋅=⎟

⎟⎠

⎞⎜⎜⎝

⎛ ×⎟⎠⎞

⎜⎝⎛ +=

EE

K cst

33

31066.6

65.016

1042.39 −−

⋅=

⎟⎠⎞

⎜⎝⎛ −

⋅=

sMrab;kMralxNÐ½BIrCab;Kña EEKt33 1032.131066.62 −− ⋅=⋅×=

6> KNnaPaBrwgRkajssrsmmUl/ ecK ³

T.Chhay NPIC


EEKKK tcec31032.13

10139.0

1111−⋅

+=+=∑

EKec3108.6 −⋅=

7> emKuNEbgEckm:Um:g; (D.F) ³ - sMrab;tMNxageRkA

386.0108.61027.4

1027.4)slab(. 33

3=

⋅+⋅

⋅=

+=

−−

−

ecs

sKK

KFD

( ) 614.0columns. ==∑KK

FD ec

ssrxagelI nigssrxageRkamkMralxNÐ½manPaBrwgRkajdUcKña dUcenH emKuNEbgEck 614.0 RtUv)anEckes μ IKñarvagssrTaMgBIr EdlmYy²TTYl)an D.F= 307.02/614.0 = .

- sMrab;tMNxagkñúg 278.0

108.61027.421027.4)slab(. 33

3=

⋅+⋅×

⋅=

+=

−−

−

ecs

sKK

KFD

( ) 444.0108.61027.42

108.6columns. 33

3=

⋅+⋅×

⋅==

−−

−

∑KK

FD ec

ssrmYy²man D.F= 222.02/444.0 = .

8> m:Um:g;cugbgáb;³ edaysar LDLL ./. tUcCag 0.75 m:Um:g;emKuNTaMgmUlRtUv)ansnμt;faman GMeBIelIElVgTaMgGs;.

212 )moment endFixed (Llk"wu=−

emKuN "k GacRtUv)ankMNt;eday column analogy method ³ sMrab;bnÞúkÉktþa mkNw /1= enAelIbeNþayElVg m5.7 düaRkamm:Um:g;Bt;samBaØRtUv)anbgðajenAkñúgrUbTI 17>38 b . RkLaépÞénm:Um:g;Bt; edayBicarNabMErbMrYlm:Um:g;niclPaBtambeNþayElVgKW RkLaépÞsrub ( ) 321 2AAAAm ++=

( ) 98.3484.091.025.021291.0791.077

32

=⎟⎠⎞

⎜⎝⎛ ××+×+−×=

emKuNm:Um:;g;bgáb;cug 21lA

A

a

m=

Edl aA sMrab;kMralxNÐ½KW 42.7 dUcEdl)anKNnaenAkñúgCMhanTI 3. 0838.0

5.742.798.34" 2 =×

=k

T.Chhay NPIC


eyIgeXIjfaemKuNm:Um:g;bgáb;cug 0838.0"=k mantMélEk,rnwgemKuN 833.012/1 = Edl eRbICaTUeTAedIm,IKNnam:Um:g;bgáb;rbs;Fñwm. eK)anrMBwgTuknUvlT§plenH edaysarEpñkénElVg manm:Um:g;niclPaBERbRbYltUcenAkúñg flat plate EdlKμan column capital b¤ drop panel. enAkñúg flat plate EdlmanpleFobElVgelITTwgssrFMCag 20 enaHeKGacykemKuNm:Um:g;bgáb;cug

0833.0 mkeRbIedIm,IKNnam:Um:g;cugRbhak;RbEhl. m:Um:g;bgáb;cug ¬EdlbNþalBI 2/28.13 mkNwu = ¦ mkN.6.3755.7628.130838.0 2 =×××=

9> karEbgEckm:Um:g;GaceFVIeTA)ansMrab;Bak;kNþaleRKag edaysarvamanlkçN³sIuemRTI. enA eBlEdlm:Um:g;cugGviC¢manRtUv)ankMNt; m:Um:g;viC¢manenAkNþalElVgGacTTYl)anedaydktMélmFüménm:Um:g;cugGviC¢manBIm:Um:g;viC¢-manFñwmTMrsamBaØ. karEbgEckm:Um:g;RtUv)anbgðajenAkñúgrUbTI 17>39. m:Um:g;Bt; nigkMlaMg kat;TTwgcugeRkayRtUv)anbgðajenAkñúgrUbTI 17>40.

10> kMralxNÐ½CagRtUv)anKNnasMrab;m:Um:g;GviC¢manenARtg;épÞssrdUcbgðajenAkñúgrUbTI 17>40.

T.Chhay NPIC


]TahrN_TI17>14³ edayeRbIviFI direct design method edIm,IKNnakMral flate slab xagkñúgEdlman drop panel edIm,IRT bnÞúkefr 2/6.8 mkN nigbnÞúkGefr 2/11 mkN . RbBn§½kMralpSMeLIgedaykMralcMnYn ^ kñúgTisnImYy² EdlkMralmYy²manTMhM m4.56× . RKb;kMralTaMgGs;RtUv)anRTeday ssrEdlmanGgát;p©it m4.0 ehIy column capital manGgát;p©it m0.1 . kMBs;Can;KW m0.3 . eKeGay MPaf c 28' = nig

MPaf y 400=

T.Chhay NPIC


dMeNaHRsay³

1> RKb;karkMNt;rbs; ACI edIm,IeRbI direct design method RtUv)anbMeBj. kMNt;kMras;kMral Gb,brma sh edayeRbIsmIkar !&>! nig !&>@. Ggát;p©itrbs; column capital esμ Inwg m0.1 .

T.Chhay NPIC


muxkat;ssrkaersmmUlEdlmanRkLaépÞesμ IKñamanRCugesμInwg ( )22 500ππ =r mm885= b¤ mm900 .

m1.59.00.6direction) (longspan clear =−= m5.49.04.5direction)(short span clear =−=

edaysarFñwmminRtUv)aneRbI 0=fmα / 0.1=sβ nig 11.14.5/6 ==β BItarag !&>!/ kMras;Gb,brma mmlh ns 15533/1.533/ === b:uEnþedaysarman drop panel sh Gac RtUv)ankat;bnßy %10 RbsinebI drop panel latsn§wgcMgayy:agtic 6/l kñúgTisnImYy²BI GkS½rbs;TMr nigTMlak;cuHBIeRkamkMraly:agtic 4/sh . dUcenH eRbIkMras;kMral 1559.0 ×=sh

mm140= ehIyRbEvgbeNþay nigTTwgrbs; drop panel KW m

l2

30.6

3direction Long 1 ===

ml

8.134.5

3directionShort 2 ===

kMras;rbs; drop panel KW mmhs 17514025.125.1 =×= . begáInkMras;rbs; drop panel dl; mm220 edIm,Ipþl;nUvkMras;RKb;RKan;sMrab;kMlaMgkat;pug nigedIm,IecosvagnUvkareRbInUvPaKry

EdkFM. TMhMTaMgGs;RtUv)anbgðajenAkñúgrUbTI 17>41. 2> KNnabnÞúkemKuN

2/28116.16.82.1 mkNwu =×+×= 3> RtYtBinitükMlaMgkat;BIrTis. dMbUgenAkñúg drop panel ³ muxkat;eRKaHfñak;enAcMgay 2/d CMuvij

column capital. yk mmd 19030220 =−= . Ggát;p©itrbs;muxkat;rgkMlaMgkat;KW m19.119.01 =+

kNVu 87619.14

4.5628 2 =⎥⎦⎤

⎢⎣⎡ −×=

π

mbo 74.3219.12 =⎟

⎠⎞

⎜⎝⎛= π

uocc VkNdbfV >=×××

=×= 9301903740281000

33.075.0'33.0φφ bnÞab;mkeTotepÞógpÞat;kMlaMgkat;BIrTisenAkñúgkMralxNÐ½. muxkat;eRKaHfñak;KWsßitenAcMgay

2/d BIeRkA drop panel

( ) mmd 11030140slab =−=

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RkLaépÞeRKaHfñak; ( )( ) 203.411.08.111.02 m=++= ( ) mbo 04.891.111.22 =+= ( ) kNVu 79403.44.5628 =−×=

uc VkNV >=×××

= 11581108040281000

33.075.0φ

kMlaMgkat;mYyTismineRKaHfñak;eT. 4> KNnam:Um:g;sþaTicsrubenAkñúgTisEvg nigTisxøI³

mkNllw

M nu

ol .6.4911.54.5828

822

12 =×==

mkNllw

M nu

os .2.4255.46828

822

21 =×== edaysar 12 ll < TTwgrbs;cMerokelIssrkñúgTisedAEvgKW ( ) m7.24.525.02 =× . TTwgcM erokelIssrkñúgTisedAxøIKW m7.2 . edaysn μt;Ggát;p©itEdk mm12 ehIyEdkkñúgTisedAxøI sßitenABIelIEdkkñúgTisedAEvg enaHkMBs;RbsiT§PaBkñúgTisedAxøIKWtUcCagkMBs;RbsiT§PaBkñúg TisedAEvgRbEhl mm10 . tMélrbs; d nigdMeNIrkarKNnaRtUv)anbgðajenAkñúgtarag 17>14. RbEvgGb,brmarbs;EdkEdl)aneRCIserIsRtUveKarBtamRbEvgtMrUvkarrbs; ACI

Code Edl)anbgðajenAkñúgrUbTI 17>16. cMNaMfaPaKryEdkTaMgGs;tUcCag maxρ . dUcenH 9.0=φ .

5> PaBrwgRkajrbs;ssrKW 782.0

116.8

L.LD.Lratio == ehIy 11.1

2

1 =ll

kMNt; 15.111.1782.0

1min =

×=α

viFIRbhak;RbEhlRtUv)aneRbIenATIenHedIm,IkMNt;PaBrwg Rkajrbs;ssrCamYynwg capital

rbs;va.

sI ¬m:Um:g;niclPaBrbs;kMralkñúgTisxøI¦ 463

10137212

1406000 mm×==

ccsc

s EE

lIE

K 36

2101016

540010137244

⋅=⋅×

==

cI ¬sMrab;ssrmUlEdlmanGgát;p©it mm400 ¦ ( ) 4644

1012574006464

mmD

⋅===ππ

cc

c

ccc E

El

IEK 3

6101676

300010125744

⋅=⋅×

==

T.Chhay NPIC


tarag 17>14 karKNnaénkMral flat plate xagkñúgEdlman drop panel TisEvg mkNoM .6.491=

mkNoMnM .5.31965.0 −=−=

mkNoMpM .1.17235.0 +=+= cMerokelIssr cMerokkNþal

emKuNm:Um:g; nM75.0− pM60.0 nM25.0− pM40.0 ).( mkNM u -239.6 103.3 -79.9 68.8

TTwgcMerok )(mmb 190 110 110 110

kMBs;RbsiT§PaB )(mmd 2.7 2.7 2.7 2.7

)(2

MPabd

MR u

u = 2.46 3.16 2.44 2.10

PaKryEdk (%)ρ 0.71 0.93 0.7 0.6

)( 2= mmbdAs ρ 3642 2762 2079 1782

)(0018.0(min) 2mmbhA ss = 1070 680 680 680


KMlat )(mm 150 193 135 170

TisxøI mkNM o .2.425= mkNMM on .4.27665.0 −=−=

mkNMM op .8.14835.0 +== cMerokelIssr cMerokkNþal

emKuNm:Um:g; nM75.0− pM60.0 nM25.0− pM40.0 ).( mkNM u -207.3 89.3 -69.1 59.5

TTwgcMerok )(mmb 180 100 100 100

kMBs;RbsiT§PaB )(mmd 2.7 2.7 3.3 3.3

)(2

MPabd

MR u

u = 2.37 3.30 2.10 1.80

PaKryEdk (%)ρ 0.69 1.00 0.60 0.50

)( 2= mmbdAs ρ 3353 2700 1980 1650

)(0018.0(min) 2mmbhA ss = 1070 680 680 680


KMlat )(mm 150 195 185 205

T.Chhay NPIC


pleFobrvagPaBrwgRkajrbs;ssrnigPaBrwgRkajrbs;kMral 65.1

101016101676

3

3=

⋅

⋅==

s

cKK

EdlFMCag 15.1min =α . RbsinebI sI kñúgTisEvgRtUv)aneRbI pleFobénPaBrwgRkajssr elIPaBrwgRkajkMralEdl)anKNnanwgFMCag 65.1 . dUcenHssrKWRKb;RKan;.

6> kMNt; balanced moment enAkñúgssr nigRtYtBinitükugRtaMgkMlaMgkat;enAkñúgkMral dUc Edl)anBnül;enAkñúg]TahrN_TI 17>8 nig 17>9.

Xvii design of two way slab

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Transcript of Xvii design of two way slab