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I introduction
1.
Department of Civil
Engineering viTüasßanCatiBhubec©keTskmçúCa bBa¢IGkSrkat; F - sMBaFxül; V - el,Ónxül; C - emKuNrUbragrbs;GKar s D - bnÞúkefr L - bnÞúkGefr/ RbEvgFñwm b - TTwgRbsiT§iPaB e d - kMBs;RbsiT§PaB d - cMgayBIsésEpñkxageRkAbMputénkugRtaMgsgát;mkTIRbCMuTMgn;EdkTajeRkAeKbMput t d ' - cMgayBIsésEpñkxageRkAbMputénkugRtaMgsgát;mkTIRbCMuTMgn;Edksgát; ε - sac;lUteFobsuT§EdkTaj t f ' - ersIusþg;ebtugrgkarsgát; c f - ersIusþg;EdkRtg;cMnucyal y w - m:as;maDrbs;ebtug E - m:UDuleGLasÞicebtug E s - m:UDuleGLasÞicEdk h - kMBs;Fñwm I - m:Um:g;niclPaB bBa¢IGkSrkat; i
2.
3.
Department of Civil
Engineering viTüasßanCatiBhubec©keTskmçúCa I. esckþIepþIm 1> rcnasm<n§½BIebtugGarem: ebtug Cafμsib,nimitþEdlekIteLIgedaysarkarpSMKñaénsMPar³CaeRcIndUcCa fμbMEbk xSac; sIum:g;t¾ Twk nigeBlxøHmanTwkfñaMKImI. sMPar³TaMgenHRtUv)anlaybBa©ÚlKñaedaysmamaRtRtwmRtUv TukeGaykkkøayeTA Caebtug. ebtugCasMPar³EdleFVIkar)anl¥nwgkarsgát;. edIm,IeGaysMPar³eFVIBIebtugGacTb;nwgkarBt;)an luHRtaEtvaRtUv)anBRgwgedaysrésEdk eBlenaH eKeGayeQμaHvafa ebtugGarem:. EdkCasMPar³EdleFVIkar)anl¥nwgkarTaj. CaTUeTAkñúgkarKNnarcnasm<n§½BIebtugGarem:mYy KWeKRtUvGnuvtþeLIgCaBIrCMh‘anFM²³ - kMNt;nUvRbePTbnÞúkepSg²EdlGnuvtþmkelIrcnasm<n§½ edayeRbInUvviFIsaRsþRtwmRtUvkñúgkarviPaK eRKOgbgÁúM. - kMNt;nUvTMhMmuxkat;EdkénRKb;rcnasm<n§½TaMgGs; eGaymanlkçN³esdækic© edayBicarNaelIsuvtiß PaB esßrPaB kareRbIR)as; nigtYrnaTIrbs;eRKOgbgÁúM. ebtugGarem: CasMPar³mYyEdleKeRbIR)as;CaTUeTAenAkñúgkarKNnaGKarRKb;RbePT. vaCasMPar³Edl pÁúMeLIgedaysMPar³BIrRbePTKW ebtug nigEdk. eRKOgbgÁúMEdleFVIBIebtugGarem: RtUv)aneRbIR)as;sMrab;RTnUv bnÞúkeRcInRbePT. 2> KuNsm,tþi nigKuNvibtþirbs;ebtugGarem: ebtugGarem: CasMPar³EdlRtUv)aneKeRbIR)as;y:agTUlMTUlaysMrab;RbePTCaeRcInéneRKOgbgÁúM. vaRtUv )aneKykmkeRbobeFobCamYynwgEdk sMrab;lkçN³esdækic© nigkarRbtibtþi. KuNsm,tþirbs;ebtugGarem:RtUv)ansegçbdUcxageRkam³ - vamanersIusþg;x<s;kñúgkarsgát; high compressive strength - vaTb;Tl;nwgePøIg)anl¥CagEdk - vamanGayukalEvgCamYynwgkarEfTaMTab - sMrab;eRKOgbgÁúMxøHdUcCa TMnb;Twk ssr nigeCIgtag vaCasMPar³EdlmanlkçN³esdækic©x<s; - vaGacRtUv)aneKeRbIsMrab;kMNt;rUbragtamtMrUvkar nigeFVICaeRKOgbgÁúMcak;eRscCamYynwgPaBdab Gb,brma KuNvibtþirbs;ebtugGarem:RtUv)ansegçbdUcxageRkam³ - vamanersIusþg;TabkñúgkarTajRbEhlCamYyPaKdb;énersIusþg;rgkarsgát; esckþIepþIm 1
4.
T.Chhay
NPIC - vaRtUvkar karlay karcak; karEfTaM EdlTaMgenHsuT§EtCHT§iBldl;ersIusþg;rbs;va - Bum<EdleRbIsMrab;cak;ebtugmantMélx<s;. tMélBum<esÞIresμInwgtMélebtug. - vamanersIusþg;rgkarsgát;TabCagEdkRbEhlCadb;dg EdlCaehtueFVIeGaymuxkat;ssrFMsMrab; GKareRcInCan;. - vaekItmansñameRbH EdlbNþalmkBIkarrYmmaD nigkarGnuvtþrbs;bnÞúkGefr. 3> bnÞúk eRKOgbgÁúMrcnasm<n§½RtUv)anKNnaedIm,IRTnUvbnÞúkCak;lak;. bnÞúkKWCakMlaMgTaMgLayNaEdlGnuvtþmkelIrcnasm<n§½ Edlpþl;nUvsmamaRtmuxkat;rbs;va. CaTU eTAbnÞúkRtUv)anEckecjCa bnÞúkefr ¬bnÞúkGclt½¦ nigbnÞúkGefr ¬bnÞúkclt½¦. bnÞúkefr Dead load EdlrYmmanTMgn;rbs;rcnasm<n§½ ¬TMgn;pÞal;rbs;va¦ nigTMgn;sMPar³epSg²eTot EdlmanenAelIeRKOgbgÁúM dUcCa dækar:U )ayGr ek,Óg CBa¢aMg >>>. bnÞúkefrRtUv)anKNnaCamYynwgkMrwtRtwm RtUvénTMhMrbs;sMPar³ nigTMgn;maDrbs;va. bnÞúkcl½t Live load CabnÞúkTaMgLayNaEdlminEmnCabnÞúkefr. vaCaRbePTbnÞúkEdlmanlkçN³ nwg b¤rBa¢Üy b¤Cacl½t b¤cl½t. vaGacGnuvtþmkelIeRKOgbgÁúMyWt² Pøam² bBaÄr b¤edk ehIyGaMgtg;sIuetrbs; vaGacERbRbYleTAtameBlevla. CaTUeTAbnÞúkcl½trYmman³ - bnÞúkEdlekItBITMgn;mnusS eRKOgsgðarwm nig]bkrN_sMPar³ - kMlaMgpÁÜbEdl)anBIxül; nig)anBIbMErbMrYlsItuNðPaB - TMgn;rbs;RBwlRbsinebIman - sMBaFrbs;Twk b¤dImkelICBa¢aMgTb;dI - TMgn;rbs;cracrN_mkelIs<an - kMlaMgpÁÜbDINamicEdl)anBIbnÞúkcl½t b¤bnÞúkb:HTgÁic rBa¢ÜyEpndI b¤karpÞúH bnÞúkRBwlGacERbRbYlcenøaHBI 0.5kN / m → 2kN / m GaRs½yelIGakasFatutamtMbn;. 2 2 bnÞúkxül;GacERbRbYlcenøaHBI 0.75kN / m → 1.5kN / m GaRs½ynwgel,Ónxül;. sMBaFxül;én 2 2 eRKOgbgÁúM F RtUv)anKNnatamrUbmnþxageRkam³ F = 0.00064C sV 2 Edl F - sMBaFxül; kN / m 2 V - el,Ónxül; m / s C - emKuNrUbragrbs;GKar enAcenøaHBI 1.2 → 1.3 s Introduction 2
5.
Department of Civil
Engineering viTüasßanCatiBhubec©keTskmçúCa taragTI1³ bnÞúkBRgayesμI Design live load Occupancy Content kN / m 2 Assembly hall Fixed seats 2.9 Movable seats 4.8 Hospital Operating rooms 2.9 Private rooms 1.9 Hotel Guest rooms 1.9 Public rooms 4.8 Balconies 4.8 Housing Private house and apartments 1.9 Public rooms 4.8 Institution Classrooms 1.9 Corridors 4.8 Library Reading rooms 2.9 Stack rooms 7.2 Office building Offices 2.4 Lobbies 4.8 Stairs 4.8 Storage warehouses Light 4.8 Heavy 12.0 Yard and terraces 4.8 taragTI2³ dg;sIuet nigdg;sIuetxnic Density Material Specific gravity kg / m 3 Building material Brick 1.8-2.0 1924 Cement, Portland, loose - 1443 Cement, Portland, set 2.7-3.2 2933 Earth, dry, packed - 1523 Sand or gravel, dry, packed - 1600-1924 Sand or gravel, wet - 1892-1924 Liquids Oils 0.9-0.94 930 Water (at 4 o c ) 1 1000 Ice 0.88-0.92 898 Metal and mineral Aluminum 2.55-2.75 2645 Copper 9.0 8913 Iron 7.2 7214 Lead 11.38 11380 Steel, rolled 7.85 7855 Limestone or marble 2.5-2.8 2645 Sandstone 2.2-2.5 2356 Shale or slate 2.7-2.9 2805 Normal weight concrete Plain 2.2-2.4 2324 Reinforced or prestressed 2.3-2.5 2405 esckþIepþIm 3
6.
T.Chhay
NPIC 4> karRbmUlbnÞúk edIm,IQaneTAdl;karKNnamuxkat;EdkEdlRtUvkar enAkñúgmuxkat;eRKOgbgÁúMCadMbUgeyIgRtUvRbmUl bnÞúkTaMgGs;EdlmanGMeBIeTAelIeRKOgbgÁúMenaH. karRbmUlbnÞúkKWeyIgRtUvRbmUlBIelIcuHmkeRkam )ann½yfa dMbUgeyIgRbmUlbnÞúkelIdMbUl b¤elIkMralxNÐ bnÞab;mkRbmUlbnÞúkmkelIFñwm rYcehIyRbmUlbnÞúkmkelIssr nigcugeRkayRbmUlbnÞúkmkelIRKwH. bnÞúkTMnajEckCabIRbePTKW³ - bnÞúkBRgayelIépÞ Edlmanxñat (kN / m ) bnÞúkenHmanGMeBIelIkMralxNÐ b¤dMbUl. bnÞúkTaMgenHrYmman 2 bnÞúkGefr nigbnÞúkefr ¬rYmbBa©ÚlTaMgTMgn;pÞal;xøÜn¦. - bnÞúkBRgayelIRbEvg Edlmanxñat (kN / m) bnÞúkenHmanGMeBIelIFñwm. bnÞúkTaMgenHrYmmanbnÞúkEdl )anbBa¢ÚnBIkMralxNÐmkelIFñwmtamsñameRbH 45 bnÞúkrbs;CBa¢aMg o nigbnÞúkpÞal;xøÜn. bnÞúkBRgayelI RbEvgmanragCa ctuekaNEkg ctuekaNaBñay nigRtIekaN. - bnÞúkcMcMnuc Edlmanxñat (kN ) bnÞúkenHmanGMeBIelIssr nigRKwH. bnÞúkTaMgenHrYmmanbnÞúkEdl)an bBa¢ÚnBIkMralxNÐmkelIFñwmehIybnþbBa¢ÚnmkelIssr nigbnÞúkpÞal;xøÜn. eRkABIbnÞúkTMnajTaMgenH enAmanbnÞúkedkeTot. eRkamGMeBIénbnÞúkEdl)anGnuvtþeTAelIrcnasm<n§½ eyIgGackMNt;)an nUvkMlaMgkat;TTwg m:Um:g;Bt; >>>. ]TahrN_³ eKmanpÞHmYyEdlmankMBs;1Can; 4m ehIymanTMhMdUcxageRkam³ Tile 1cm B Mortar 4cm Concrete 12cm Plastering 2cm S B2 (20? 0) B2 B1(20? 5) C (20? 0) Section A-A Tile 1cm A A Mortar 4cm Concrete 12cm Plastering 2cm B1 B Slab beam column plane Section B-B k> cUrkMNt;bnÞúkEdlmanGMeBIelIkMralxNÐ S x> cUrkMNt;bnÞúkEdlmanGMeBIelIFñwm B1 K> cUrkMNt;bnÞúkEdlmanGMeBIelIFñwm B2 X> cUrkMNt;bnÞúkEdlmanGMeBIelIssr C Introduction 4
7.
Department of Civil
Engineering viTüasßanCatiBhubec©keTskmçúCa dMeNaHRsy k> kMNt;bnÞúkEdlmanGMeBIelIkMralxNÐ S bnÞúkEdlmanGMeBIelIkMralxNÐrmmanbnÞúkefr nigbnÞúkGefr Y bnÞúkefrman³ - kar:UkMras; 1cm = 0.01× 22 = 0.22kN / m 2 - )ayGrkMras; 4cm = 0.04 × 22 = 0.88kN / m 2 - ebtug ¬TMgn;pÞal; self weight¦ kMras; 12cm = 0.12 × 24 = 2.88kN / m 2 - kMe)arbUkkMras; 2cm = 0.02 × 20 = 0.4kN / m 2 bnÞúkGefr EdlmanGMeBIelIkMralxNÐ sMrab;pÞH tamtaragxagelI L = 1.9kN / m 2 xageRkamCataragbgðajBIbnÞúkEdlmanGMeBIelIkMralxNÐ S KitkñúgmYyÉktaépÞ RbePTbnÞúk eQμaHbnÞúk bnÞúkbTdæan (kN m ) 2 kar:U 0.22 bnÞúkefr Dead )ayGr 0.88 load (D) ebtugkMralxNÐ 2.88 kMe)arbUk 0.4 bnÞúkGefr Live bnÞúkcl½t 1.9 Load (L) bnÞúksrub D+L 6.28 x> kMNt;bnÞúkEdlmanGMeBIelIFñwm B1 Fñwm B1 RTkMralxNÐ S tamTisEvg + bnÞúkpÞal;xøÜn = (0.45 − 0.12) × 0.2 × 24 = 1.584 kN CabnÞúkrayragctuekaN m + bnÞúkCBa¢aMgdæ 10cm= (4 − 0.45) × 2 = 7.1 kN CabnÞúkrayragctuekaN m + bnÞúkkMralxNÐ = 4.38 × 2 = 8.76 kN CabnÞúkrayragctuekaNBñay m + bnÞúkGefr = 1.9 × 2 = 3.8 kN CabnÞúkrayragctuekaNBñay m S B2 (20? 0) B1(20? 5) esckþIepþIm 5
8.
T.Chhay
NPIC xageRkamCataragbgðajBIbnÞúkEdlmanGMeBIelIFñwm B1 KitkñúgmYyÉktaRbEvg RbePTbnÞúk eQμaHbnÞúk bnÞúkbTdæan (kN m) ragBRgaybnÞúk bnÞúkpÞal;xøÜn 1.584 ctuekaN bnÞúkefr D bnÞúkCBa¢aMg 7.1 ctuekaN bnÞúkkMralxNÐ 17.52 ctuekaNBñay bnÞúkGefr L bnÞúkcl½t 7.6 ctuekaNBñay K> kMNt;bnÞúkEdlmanGMeBIelIFñwm B2 Fñwm B2 RTkMralxNÐ S tamTisxøI + bnÞúkpÞal;xøÜn = (0.3 − 0.12) × 0.2 × 24 = 0.864 kN CabnÞúkrayragctuekaN m + bnÞúkCBa¢aMgdæ 10cm= (4 − 0.3) × 2 = 7.4 kN CabnÞúkrayragctuekaN m + bnÞúkkMralxNÐ = 4.38 × 2 = 8.76 kN CabnÞúkrayragRtIekaN m + bnÞúkGefr = 1.9 × 2 = 3.8 kN CabnÞúkrayragRtIekaN m xageRkamCataragbgðajBIbnÞúkEdlmanGMeBIelIFñwm B2 KitkñúgmYyÉktaRbEvg RbePTbnÞúk eQμaHbnÞúk bnÞúkbTdæan (kN m) ragBRgaybnÞúk bnÞúkpÞal;xøÜn 0.864 ctuekaN bnÞúkefr D bnÞúkCBa¢aMg 7.4 ctuekaN bnÞúkkMralxNÐ 17.52 RtIekaN bnÞúkGefr L bnÞúkcl½t 7.6 RtIekaN X> kMNt;bnÞúkEdlmanGMeBIelIssr C S B2 (20? 0) B1(20? 5) C (20? 0) Introduction 6
9.
Department of Civil
Engineering viTüasßanCatiBhubec©keTskmçúCa + bnÞúkssrCan;elI = [(4-0.12)×0.2×0.2]×24=3.72kN + bnÞúkkMralxNÐCan;elI S = 4.38×4×6=105.12kN + bnÞúkCBa¢aMgenAelIFñwm B1 = (6-0.2)×(4-0.45)×2= 41.18kN + bnÞúkCBa¢aMgenAelIFñwm B 2 = (4-0.2)×(4-0.3)×2=28.12kN + bnÞúkFñwm B1 = (6-0.2)×0.2×(0.45-0.12)×24=9.19kN + bnÞúkFñwm B 2 = (4-0.2)×0.2×(0.3-0.12)×24=3.28kN + bnÞúkGefr = 1.9×(4-0.12)×(6-0.12) = 43.35kN dUcenHbnÞúksrubEdlmanGMeBIelIssr C = 234kN 5> karbMElgbnÞúk edaysarbnÞúkBRgayelIFñwmmanragepSg² EdlnaMeGayeyIgBi)akkñúgkaredaHRsay dUcenHeyIgeRbI viFanbMElgbnÞúkenaHeGayeTACaragctuekaNEkg. k> karbMElgBIragRtIekaN mkragctuekaNEkg q qe 2 qe = q 3 x> karbMElgbnÞúkBIragctuekaNBñaymkragctuekaNEkg q qe 4 a qe = q[1 − ( ) 2 ] 3 L K> karRbmUlbnÞúkBIelIkMralxNÐmkelIFñwm edIm,IgayRsYl kñúgkarbMElgbnÞúkBIelIkMralxNÐ mkelIFñwm eyIgGaceRbInUvrUbmnþxageRkam S - RbEvgtamTisxøI L - RbEvgtamTisEvg esckþIepþIm 7
10.
T.Chhay
NPIC S m= L D C 45o 45o S 45o 45o A B L sMrab;FñwmxøI BC bnÞúkenAelIkMral = w KitCa kN / m 2 RkLaépÞbnÞúkmkelIFñwm = S4 KitCa m 2 2 bnÞúkmkelIFñwm = Sw → Sw KitCa kN / m 2 3 B C B C sMrab;FñwmEvg AB bnÞúkenAelIkMral = w KitCa kN / m 2 RkLaépÞbnÞúkmkelIFñwm = SL − S4 = S4 ( 2 − m ) KitCa m 2 2 2 2 m bnÞúkmkelIFñwm = Sw ( 3 −2m ) KitCa kN / m ¬bnÞúkBRgayesμI¦ 2 3 6> eRKOgbgÁúMénrcnasm<n½§ebtugGarem: ebtugGarem:CasMPar³EdlRtUveKRbIR)as;esÞIrRKb;GKar rYmbBa©ÚlTaMgGKarmYyCan; nigeRcInCan;. rcna sm<n§½énGKarEdleFVIBIebtugGarem:rYmman³ - kMralxNÐ ( slab ) CaeRKOgbgÁúMbnÞHedk EdlrgnUvbnÞúkbBaÄr k¾dUcCabnÞúkedk. CaTUeTAkMras;rbs; kMralxNÐmanTMhMtUcCagq¶ayebIeRbobeFobeTAnwgbeNþay b¤TTwgrbs;kMral. - Fñwm ( beam ) CaeRKOgbgÁúMEdlmanRbEvgEvg edk b¤eRTt CamYynwgTTwgnigCMerAkMNt;mYy. tYrnaTI cMbgrbs;FñwmKWRTbnÞúkmkBIkMralxNÐ nigxøÜnvapÞal;. Introduction 8
11.
Department of Civil
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