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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
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
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
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
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
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
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
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
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
Department of Civil Engineering                                               viTüasßanCatiBhubec©keTskmçúCa
        - ssr ( column ) CaeRKOgbgÁúMd¾sMxan; EdlmantYrnaTIRTbnÞúkEdlmkBIFñwm b¤kMralxNÐ. vaGacnwgRb
          QmnwgkMlaMgcMp©it nigkMlaMgcMp©itrYmbBa©Úlm:Um:g;.
        - eRKag ( frame ) CaeRKOgbgÁúMEdlpSMeLIgedayman Fñwm nigssr b¤pSMeLIgedayman kMralxNÐ Fñwm
          nigssr. vaGacCaeRKagsþaTickMNt; b¤eRKagsþaTicminkMNt;.
        - RKwH ( footing ) rYmman eCIgtag b¤RKwHCab; EdlRTssr nigbBa¢ÚnbnÞúkeTAdIedaypÞal;.
        - CBa¢aMg ( wall ) CaeRKOgbgÁúMbnÞHbBaÄr EdlRbQmnwgkMlaMgTMnaj k¾dUcCakMlaMgedk kñúgkrNIdUcCa
          CBa¢aMgeRkamdI.
7> CMhanénkarKNnaeRKOgbgÁúMBIebtugGarem:
       eRkayeBlEdlbøg;sßabtükmμ RtUv)ansMercTTYlyk visVkrcab;epþImkMNt;nUvRbBn§½rcnasm<n§½d¾l¥mYy
edayFananUvsuvtßiPaB nigesßrPaBrbs;GKar. TsSn³énrcnasm<n§½epSg² k¾RtUv)anykmkBicarNaedIm,I
TTYl )anlkçN³esdækic©x<s; edayQrelImUldæansMPar³ niglkçxNÐdI. lT§plTaMgenH CaTUeTATTYl)anBI³
     - begáItCaKMrUrcnasm<n§½eRKOgbgÁúMEdlRTRTg;bnÞúk
     - kMNt;nUvRbePTepSg²KñaénbnÞúkEdlmanGMeBIelIGKar
     - viPaKrcnasm<n§½eRKOgbgÁúMedayeRbIkMuBüÚTr½ b¤edayéd edIm,IkMNt;nUvm:Um:g;Gtibrma kMlaMgkat;TTwg
       kMlaMgrmYl kMlaMgtamGkS½ nigkMlaMgepSg²eTot
     - kMNt;smamaRténeRKOgbgÁúM nigkMNt;nUvbrimaNEdkEdlRtUvkar
     - begáItnUvbøg;rcnasm<n§½ nigkarlMGitlkçN³bec©keTsedIm,IeFVIkarsagsg;




esckþIepþIm                                                                                                9

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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 Engineering viTüasßanCatiBhubec©keTskmçúCa - ssr ( column ) CaeRKOgbgÁúMd¾sMxan; EdlmantYrnaTIRTbnÞúkEdlmkBIFñwm b¤kMralxNÐ. vaGacnwgRb QmnwgkMlaMgcMp©it nigkMlaMgcMp©itrYmbBa©Úlm:Um:g;. - eRKag ( frame ) CaeRKOgbgÁúMEdlpSMeLIgedayman Fñwm nigssr b¤pSMeLIgedayman kMralxNÐ Fñwm nigssr. vaGacCaeRKagsþaTickMNt; b¤eRKagsþaTicminkMNt;. - RKwH ( footing ) rYmman eCIgtag b¤RKwHCab; EdlRTssr nigbBa¢ÚnbnÞúkeTAdIedaypÞal;. - CBa¢aMg ( wall ) CaeRKOgbgÁúMbnÞHbBaÄr EdlRbQmnwgkMlaMgTMnaj k¾dUcCakMlaMgedk kñúgkrNIdUcCa CBa¢aMgeRkamdI. 7> CMhanénkarKNnaeRKOgbgÁúMBIebtugGarem: eRkayeBlEdlbøg;sßabtükmμ RtUv)ansMercTTYlyk visVkrcab;epþImkMNt;nUvRbBn§½rcnasm<n§½d¾l¥mYy edayFananUvsuvtßiPaB nigesßrPaBrbs;GKar. TsSn³énrcnasm<n§½epSg² k¾RtUv)anykmkBicarNaedIm,I TTYl )anlkçN³esdækic©x<s; edayQrelImUldæansMPar³ niglkçxNÐdI. lT§plTaMgenH CaTUeTATTYl)anBI³ - begáItCaKMrUrcnasm<n§½eRKOgbgÁúMEdlRTRTg;bnÞúk - kMNt;nUvRbePTepSg²KñaénbnÞúkEdlmanGMeBIelIGKar - viPaKrcnasm<n§½eRKOgbgÁúMedayeRbIkMuBüÚTr½ b¤edayéd edIm,IkMNt;nUvm:Um:g;Gtibrma kMlaMgkat;TTwg kMlaMgrmYl kMlaMgtamGkS½ nigkMlaMgepSg²eTot - kMNt;smamaRténeRKOgbgÁúM nigkMNt;nUvbrimaNEdkEdlRtUvkar - begáItnUvbøg;rcnasm<n§½ nigkarlMGitlkçN³bec©keTsedIm,IeFVIkarsagsg; esckþIepþIm 9