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105 - Poinçonnement des dalles sur poteau circulaire intérieur mis à jour H. NF EN 1992-1-1 (EC2), clauses 6.4 et 9.4.3 janvier 2013L'auteur n' respons Géométrie Résultats l'usage c 0.6 m diamètre du poteau ce pr h 0.2 m épaisseur de la dalle 0.84 coefficient de dégression horizon 1.0626 MN Charges #VALUE! m périmètre du poteau 50 aire de plancher repris #VALUE! MPa cisaillement au droit du poteau p 20 charge ELU = 1,35g + 1,5q #VALUE! MPa cisaillement limite au droit du p m 1.1 coefficient de majoration dû à la conti #VALUE! #VALUE! 1.15 § 6.4.3 (3) forfaitaire 1,15 ? #VALUE! m périmètre à la distance 2 d 2.450 MPa contrainte moyenne de compression 30.79 kN charge transmise directement dans 1.0318 MN Armatures #VALUE! MPa cisaillement à la distance 2 d 8.04 acier longitudinaux traversant la zone k 2.0000 0.17 hauteur utile pour l'armature // Ox 0.1 § 6.4.4 (1) 8.04 acier longitudinaux traversant la zone 0.004066 % d'armature moyen 0.23 hauteur utile pour l'armature // Oy 0.552469 MPa 2 1=épingle, 2=étrier 0.542218 MPa 0.245 MPa dû à la précontrainte Matériaux #VALUE! MPa cisaillement résistant à la dista 30 MPa résistance du béton #VALUE! dalle armée si > 100% 1.5 coefficient béton #VALUE! m périmètre du contour extérieur 500 MPa limite élastique acier #VALUE! m rayon du contour extérieur 1.15 coefficient acier #VALUE! MPa contrainte efficace de l'armature #VALUE! section totale des armatures d'un Modèle de dispositions cons ### #VALUE! nombre de brin Ø #VALUE! mm diamètre de l'armature #VALUE! #VALUE! #VALUE! m #VALUE! #VALUE! m #VALUE! #VALUE! m #VALUE! q #VALUE! ° angle de deux rayons successifs N #VALUE! #VALUE! #VALUE! mm distance du premier cours au nu d #VALUE! mm distance du dernier cours au nu d #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! d 0.2 m hauteur utile moyenne 0,5 d 0.100 m 0,75 d 0.150 m 1,5 d 0.300 m 2 d 0.400 m ### aA b.VEd effort de poinçonnement de calcul u0 Ap m 2 vEd0 kN/m 2 vRd,max vEd0/vRd,max b u1 scp DVEd b.VEd1 = b.VEd - DVEd vEd Asx cm 2 /m = 1 + (0,2/d) 0,5 dx k1 Asy cm 2 /m rl dy = 0,12k.(100rl.fck) 1/3 nbrin,max = 0,035k 1,5 .fck 0,5 k1.scp vRd,c fck vRd/vRd,c gc uout fyk rcont gs fywd,eff Asw/sr cm 2 /m nbrin nt nr sr st d1 d2 à 2 d du poteau r cont ici :n r = 7 etn t = 16 = 1,5 d <= 2 d <= 0,75 d = 0,5 d pas de chapiteau obligatoire -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 -0.2 -0.1 0 0.1 0.2 0.3 0.4 potea #VALU #VALU axes u1 uout -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 -0.1 0 0.1 0.2 0.3 0.4

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Feuil1105 - Poinonnement des dalles sur poteau circulaire intrieurmis jourH. ThonierArmatures de poinonnementChapiteau obligatoire ?NF EN 1992-1-1 (EC2), clauses 6.4 et 9.4.3janvier 2013L'auteur n'est pasNbreAirehauteur0xp ou trchapiteauresponsable dep.160.2827433388hauteur totale0.2qpoteaupingles HA80axesu1uoutpoteauchapiteauGomtrieRsultatsl'usage fait dep.180.5026548246dbord0000.300.30c0.6mdiamtre du poteauce programmetr.260.5654866776diamtre00.157079632710.29630650220.04693033950.29630650220.0469303395h0.2mpaisseur de la dalleaA0.84coefficient de dgression horizontale.p.1100.78539816340.314159265420.28531695490.09270509830.28531695490.0927050983b.VEd1.0626MNeffort de poinonnement de calcul = aA.b.m.p.Aptr.281.00530964910.47123889830.26730195730.13619714990.26730195730.1361971499Chargesu01.885mprimtre du poteaup.1121.1309733553Pas d'armatures ncessaires,0.628318530740.24270509830.17633557570.24270509830.1763355757Ap50m2aire de plancher reprisvEd02.819MPacisaillement au droit du poteaup.1141.5393804003mais chapiteau non arm0.785398163450.21213203440.21213203440.21213203440.2121320344p20kN/m2charge ELU = 1,35g + 1,5qvRd,max4.224MPacisaillement limite au droit du poteautr.2101.5707963268hauteur0.190.942477796160.17633557570.24270509830.17633557570.2427050983m1.1coefficient de majoration d la continuitvEd0/vRd,max66.7%OK pas de chapiteau obligatoirep.1162.0106192983hauteur totale0.391.099557428870.13619714990.26730195730.13619714990.2673019573b1.15 6.4.3 (3) forfaitaire 1,15 ?u14.398mprimtre la distance 2 dtr.2122.2619467106dbord0.381.256637061480.09270509830.28531695490.09270509830.2853169549scp2.450MPacontrainte moyenne de compressionDVEd30.79kNcharge transmise directement dans le poteautr.2143.0787608005diamtre1.361.413716694190.04693033950.29630650220.04693033950.2963065022b.VEd11.0318MN= b.VEd - DVEdtr.2164.02123859661.57079632681000.300.3ArmaturesvEd1.173MPacisaillement la distance 2 d33011884953301273696330142240033014398223301117298310112539633033000003103177972330213000033014000003101910136310128357333018000003301646929310120690133014584343104231364310423136433011000000000000000.1.727875959511-0.04693033950.2963065022-0.04693033950.2963065022Asx8.04cm2/macier longitudinaux traversant la zone du poteau // Oxk2.0000= 1 + (0,2/d)0,5pas de chapiteau obligatoire1.884955592212-0.09270509830.2853169549-0.09270509830.2853169549dx0.17hauteur utile pour l'armature // Oxk10.1 6.4.4 (1)-30.12.042035224813-0.13619714990.2673019573-0.13619714990.2673019573Asy8.04cm2/macier longitudinaux traversant la zone du poteau // Oyrl0.0040660028% d'armature moyenpris en compte30.12.199114857514-0.17633557570.2427050983-0.17633557570.2427050983dy0.23hauteur utile pour l'armature // Oy0.5524685369MPa= 0,12k.(100rl.fck)1/3kb1dgression horizontale2.356194490215-0.21213203440.2121320344-0.21213203440.2121320344nbrin,max21=pingle, 2=trier0.5422176685MPa= 0,035k1,5.fck0,5kc1transmission directe-3-0.12.513274122916-0.24270509830.1763355757-0.24270509830.1763355757k1.scp0.245MPad la prcontraintekd1k1.scp prcontrainte0-0.12.670353755617-0.26730195730.1361971499-0.26730195730.1361971499MatriauxvRd,c0.797MPacisaillement rsistant la distance 2 d0-0.1002.827433388218-0.28531695490.0927050983-0.28531695490.0927050983fck30MParsistance du btonvRd/vRd,c147.1%dalle arme si > 100%0-0.1002.984513020919-0.29630650220.0469303395-0.29630650220.0469303395gc1.5coefficient btonuout6.469mprimtre du contour extrieur0-0.1003.141592653620-0.30-0.30fyk500MPalimite lastique acierrcont1.030mrayon du contour extrieur3-0.1003.298672286321-0.2963065022-0.0469303395-0.2963065022-0.0469303395gs1.15coefficient acierfywd,eff300.0MPacontrainte efficace de l'armature3.455751918922-0.2853169549-0.0927050983-0.2853169549-0.0927050983Asw/sr56.19cm2/msection totale des armatures d'un cours-0.3-0.1003.612831551623-0.2673019573-0.1361971499-0.2673019573-0.1361971499Modle de dispositions constructives0nbrin1nombre de brin-0.3-0.63.769911184324-0.2427050983-0.1763355757-0.2427050983-0.17633557578mmdiamtre de l'armature3.92699081725-0.2121320344-0.2121320344-0.2121320344-0.2121320344nt13nombre d'pingles par cours0.3-0.1004.084070449726-0.1763355757-0.2427050983-0.1763355757-0.2427050983nr4mnombre d'pingles par rayon0.3-0.64.241150082327-0.1361971499-0.2673019573-0.1361971499-0.2673019573sr0.110mespacement des d'pingles d'un rayon4.39822971528-0.0927050983-0.2853169549-0.0927050983-0.2853169549st0.353mespacement maximal des d'pingles d'un cours4.555309347729-0.0469303395-0.2963065022-0.0469303395-0.2963065022q27.7angle de deux rayons successifs4.712388980430-0-0.3-0-0.3N52nombre total d'pingles (< 600)Espacement des armatures4.8694686131310.0469303395-0.29630650220.0469303395-0.2963065022d1100mmdistance du premier cours au nu du poteaucours Ndnustst,lim5.0265482457320.0927050983-0.28531695490.0927050983-0.2853169549d2730mmdistance du dernier cours au nu du poteau10.1000.1930.3005.1836278784330.1361971499-0.26730195730.1361971499-0.2673019573020.2100.2460.3005.3407075111340.1763355757-0.24270509830.1763355757-0.2427050983030.3200.3000.3005.4977871438350.2121320344-0.21213203440.2121320344-0.212132034440.4300.3530.4005.6548667765360.2427050983-0.17633557570.2427050983-0.1763355757Pour viter d'avoir des armatures de poinonnement, on peut00.0000.0000.0005.8119464091370.2673019573-0.13619714990.2673019573-0.1361971499disposer d'un chapiteau de 1,36 m de diamtre hors tout00.0000.0000.0005.9690260418380.2853169549-0.09270509830.2853169549-0.0927050983et de 0,19 m de retombe (soit une hauteur totale de 0,39 m)00.0000.0000.0006.1261056745390.2963065022-0.04693033950.2963065022-0.046930339500.0000.0000.0006.2831853072400.3-00.3-0d0.2mhauteur utile moyenne00.0000.0000.000cerce N3101282340310144009031022074051101705010110133399611012574811101257481110133399611017050103102207405310144009031012823403101250000310122149831013452543102162711110155308611012620221101201996110120199611012620221101553086310216271131013452543101221498310119612731011822293101284045310213386411014550301101215569110116618511011661851101215569110145503031021338643101284045310118222931011613563101154787310124127031021137061101386507110118310611011411591101141159110118310611013865073102113706310124127031011547873101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705731011370573101137057310113705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d0.100m00.0000.0000.000110.35418290.18588949980.6800,75 d0.150m00.0000.0000.00020.22722624920.32919426410.67162807160.10637543621,5 d0.300m00.0000.0000.00030.04821484540.39708381650.64671843110.21013155622 d0.400m00.0000.0000.0004-0.14184195970.37400654510.60588443640.308713539800.0000.0000.0005-0.29940478330.26524917510.55013155620.399693971600.0000.0000.0006-0.38837817160.09572675750.48083261120.480832611200.0000.0000.0007-0.3883781716-0.09572675750.39969397160.550131556200.0000.0000.0008-0.2994047833-0.26524917510.30871353980.605884436400.0000.0000.0009-0.1418419597-0.37400654510.21013155620.646718431100.0000.0000.000100.0482148454-0.39708381650.10637543620.671628071600.0000.0000.000110.2272262492-0.329194264100.6800.0000.0000.000120.3541829-0.1858894998-0.10637543620.671628071600.0000.0000.000130.40-0.21013155620.646718431100.0000.0000.000140.45147134510.2369505413-0.30871353980.605884436400.0000.0000.000150.28964182890.4196179798-0.39969397160.550131556200.0000.0000.000160.06145865980.5061574048-0.48083261120.480832611200.0000.0000.00017-0.18080370860.4767421349-0.55013155620.399693971600.0000.0000.00018-0.38164734260.3381096963-0.60588443640.3087135398Chapiteau en remplacement des 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Feuil1

pas de chapiteau obligatoire

Feuil2

nombre maximal impos de brins : 1 pour pingles ou 2 pour trierspoteaupingles HA8axesu1uoutpoteauchapiteau

Feuil3

Le coefficient de rduction nest utilis que pour les catgories dusage suivantes : A, B, C3, D1, et F.distance du cours d'armatures au nu du poteauespacement des armatures d'un mme coursespacement limite des armatures d'un mme cours