Poutre ISO
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CALC b 0.2 h 0.5 0.1 0.00208333 Largeur reprise d'un côté 5.92 Largeur reprise de l'autre 5.7 Largeur reprise 6.01 Epaisseur Plancher 0.23 Béton Acier Classe Environnementale Durée de l'ouvrage Classe Structurale Diamètre du plus gros granulat Age du béton à l'instant du chgt t Coefficients - Catégorie BATIMENT 3 CHARGES PERMANENTES G (kN/m²) Habitation 0.4 Toiture 0 25 CHARGES PERMANENTES G (kN/m²) Poids propre Dalle 34.5575 Poids propre Poutre 1.35 Habitation 2.404 Toiture 0 Charges dues aux niveaux sup. 0 38.3115 ELU 1,35G + 1,5Q pu*l²/8 ELS CARACT. G +Q psc*l²/8 Ac Ic fck fcd fcm fctm fctk0,05 fyk fyd Ouverture de Fissure wmax (mm) Age du béton au chargement t0 Ψ0 Béton (kN/m 3 ) GTOT (kN/m) pu Mu psc Msc
description
programme béton
Transcript of Poutre ISO
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
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