Feuil1CALCUL D'UNE POUTRE ISO EN SECTION RECTANGULAIREGEOMETRIE DE LA POUTREb0.2mAppui 10.2mh0.5mAppui 20.2mAc0.1mLongueur6mIc0.0020833333m4Porte leff6.2mLargeur reprise d'un ct5.92mLargeur reprise de l'autre5.7mLargeur reprise6.01mEpaisseur Plancher0.23mHYPOTHESESBtonfck35MPa0.8fcd23.33MPa1fcm43.00MPafctm3.21MPafctk0,052.25MPaAcierfyk500MPafyd434.78MPaClasse EnvironnementaleXC1Ouverture de Fissure wmax (mm)0.4Dure de l'ouvrage50AnsClasse StructuraleS4Diamtre du plus gros granulat20mmAge du bton au chargement t028JoursAge du bton l'instant du chgt t45JoursCoefficients - Catgorie012BATIMENT30.50.3CHARGES (kN/m)CHARGES PERMANENTES G (kN/m)CHARGES D'EXPLOITATION Q (kN/m)Habitation0.4Habitation2.5Toiture0ToitureBton (kN/m3)25SOLLICITATIONSCHARGES PERMANENTES G (kN/m)CHARGES D'EXPLOITATION Q (kN/m)Poids propre Dalle34.5575Habitation15.025Poids propre Poutre1.35Toiture0Habitation2.404Charges dues aux niveaux sup.0Toiture0Charges dues aux niveaux sup.0GTOT (kN/m)38.3115QTOT (kN/m)15.025COMBINAISONS (kN.m)ELUpu1,35G + 1,5Q74.26Mupu*l/8356.81ELS CARACT.pscG +Q53.34Mscpsc*l/8256.28ELS QPpsQPG + 2 Q42.82MsQPpsc*l/8205.75APPUIMappui 0,15 Mu53.52ARMATURESEnrobage35mmDistance Minimale des Barres e25mmHauteur Utile d0.438m SECTIONS D'ACIERTRAVEEAPPUISMu/(b*d*fcd)0.080,15 Mu/(b*d*fcd)0.061,25(1-((1-2)^(1/2)))0.101,25(1-((1-2)^(1/2)))0.08x (m)d0.05x (m)d0.03z (m)d-0,5x0.42z (m)d-0,5x0.42As (m)Mu/ (z*fyd)0.0019574As (m)Mu/ (z*fyd)0.0002903As (cm)19.57As (cm)2.90ATRAVEE (cm)19.57AAPPUIS (cm)2.906HA203HA12ATRAVEE (cm) REELLE18.84AAPPUIS (cm) REELLE3.3912SECTION D'ACIER MINIMALEAs,min max (X;Y)X0,26 fctm/ fyk * b* d1.46cmY0,0013 * b * d1.14cmAs,min (cm)1.46EN TRAVEE (cm)18.846HA20EN APPUI (cm)3.39EPURE D'ARRET DE BARRES - LONGUEUR D'ANCRAGE10.7z0.546m21fctd1.50MPafbd2.36MPa 2,25 1 2 fctdlb,rqd0.92m (/4)* (s/fbd)112131415161lbd (m)0.92123456 lb,rqdlb,min (m)0.28max(0,3 lb,rqd; 10 ; 100)*0,001lbd (m)0.92EC2lbd (m)1.84EC8EFFORT TRANCHANTAsl9.82cmAciers prolongs en appuid552.5mmCrd,c0.120,18/ck1.601+(200/d)^(1/2); d en mml0.00889Asl/ (b*d)vmin0.42MPa(0,053*k^(3/2)*(fck)^(1/2))/1,5VRd,cmax ((Crd,c k (100 l fck)^(1/3))*b*d; Vmin*b*d)VRd,c0.067MPaARMATURES D'EFFORT TRANCHANT ET ESPACEMENTSARMATURES TRANSVERSALEStl/37Asw1.00cmt8mmMettre le nb d'HA 10ESPACEMENT MAXw,min = 0,08* (fck)^(1/2)/fyk0.000947smax1 (m)Asw/ (w,min * bw * sin )0.531 ()90smax2 (m)0,75*d*(1+cot )0.328 (Rad)1.570795 ()45Ved (d)0.222MN (Rad)0.7853975cot 0.0000013sin 1cot 1.00smax = min(smax1; smax2)0.328mESPACEMENT MINsmin = (Asw * z* fyd)/VEd10.745cmsmin 10cmSUITE DE CAQUOT 7; 8; 9; 10; 11; 13; 16; 20; 25; 35; 401er espacementst0 / 25cmHYPOTHESESd0.5525mst0 (cm)st1 (cm)st2 (cm)l03.100m91011l = z* (cot + sin )0.546mst3 (cm)st4 (cm)st5 (cm)l0' = l0 - d - l2.001m131620stst0/2st0st1st2st3st4Nb de Rptition7.532.002.002.002.00Nb Cumul7.539.5311.5313.5315.53Nb Arrondi810121416Nb Rptition810121416Suite Cumule77177309491747stst0/2st0st1st2st3st4Nb de Rptitionl0'+ d/st0l0'l0'l0'l0'Nb Cumull0'+ d/st0D160+C161E160+D161F160+E161G160+F161Nb Arrondim1m2m3m4m5Nb Rptitionn1 = m1n2 = m2-m1n3 = m3-m2n4 = m4-m3n5 = m5-m4Suite Cumulest0/2 + n1 st0st0/2 + n1 st0 + n2 st1st0/2 + n1 st0 + n2 st1 + n3 st2st0/2 + n1 st0 + n2 st1 + n3 st2 + n4 st3st0/2 + n1 st0 + n2 st1 + n3 st2 + n4 st3 + n5 st4FLUAGEAc (m)0.1 (t, t0) = (t-t0)/(H + t-t0)0,30.45u (m)1.2 (, t0)1h0 (mm) = 2*Ac/u166.67 (t0) = 1/(0,1 + t0)0.49RH (%)50 (fcm) = 16,8 / (fcm)^(1/2)2.561 = (35/fcm)0,70.866RH1.712 = (35/fcm)0,20.9600 = RH * (fcm) * (t0)2.153 = (35/fcm)0,50.902H = 1,5 * (1 + (0,012 * RH)18) * 1 + 250225.55(t;t0) = (t;t0) * 00.97FLUAGE AU TEMPS T (, t0) = (;t0) * 02.15FLUAGE A L'INFINIVERIFICATION DES CONTRAINTES A L'ELSCOMBINAISON CARACTERISTIQUECOMBINAISON QUASI-PERMANENTEs200GPaEs200GPaEcm34GPaEcm34GPae5.87e18.46b0.2mb1mXy + Zy + T =0ay + by + T =0X = b/20.50mX = b/20.50mZ = e As0.0111Z = e As0.035T =- e As d-0.0061T =- e As d-0.0192 = Z-4*XT0.0123 = Z-4*XT0.0396Y1-0.1221mY1-0.2339mY20.10mY20.16mY3-0.01mY3-0.03my10.00cmy16.43cmIc =b*y3/3 + e As (d-y)0.0023304646m4IQP =b*y3/3 + e As (d-y)0.0071875584m4C11.00MPaC5.86MPas292.03MPas255.53MPaCONTRAINTE BETONCONTRAINTE BETONSi Classe XD, XS, XFSi Classe XD, XS, XFc < 0,6 fckc < 0,45 fck0,6 fck21MPa0,45 fck15.75MPaCONTRAINTE BETONVRAICONTRAINTE BETONVRAICONTRAINTE ACIERCONTRAINTE ACIERs < 0,8 fyks < 0,8 fyk0,8 fyk400MPa0,8 fyk400MPaFISSURATIONs (QP)255.53MPae (QP)18.462,5*(h-d)-0.13m h-yQP0.34m h/20.25m hcef = min (2,5*(h-d);(h-yQP)/3; h/2)0.25m Ac,eff 0.05mAs 0.001884mp,eff 0.03768kt0.4Chargement longue durefct,eff = fctm3.21MPaEs200000.00MPasm - cm(s - kt *( fct,eff/p,eff)*(1+e*p,eff))/Es > 0,6*s/Essm - cm9.887E-040,6*s/Es7.67E-04sm - cm > 0,6*s/EsVRAICALCUL DE sr,max5* (c+/2)0.225me < 5 * (c+/2)NONe0.28me < 5 (c+/2)1e > 5 (c+/2)srmax =((k1*k2*k4*)/p,eff) + k3*c 1srmax = 1,3 (h-y)1k10.81sr,max0.4363769503mk2Traction/ Flexion1Traction1wk 4.315E-04mFlexion0.5wk 0.43mmk32.72k40.42520mmc35mme0.00028mm5* (c+/2)0.225msr,max0.2755556514mwk 2.724E-04mwk 0.27mmwk (mm)0.27VERIFICATIONClasse d'expositionXC1wmax (mm)0.4wmax > wkVERIFIEFLECHEFLECHE DE BASE00.0059160.018840'53.08K1EC.2 - 7.4.2Si < 0l/dERROR:#NUM!Si > 0l/d57.6966917327(l/d)base57.6966917327FLECHE CORRIGEE1310/sQP1.21211.00311.00411.00(l/d)corrig1234 (l/d)base(l/d)corrig69.9966833955FLECHE REELLE(l/d)relle10.8597285068VERIFICATION DE LA FLECHE(l/d)relle < (l/d)corrigPAS DE VERIFICATION

Feuil2

Feuil3