Trou Poutre (1)
3
Calcul d'une réservation (Méthode de H. Thonnier) Efforts globaux Moment Mu = 56.655 t.m (>0 tend la fibre inférieure) Tranchant Vu = 70.65 t Fe = 500 MPa h poutre = 1.1 m fc28 = 25 MPa bo poutre = 0.5 m 435 MPa h réservation c 0.5 m 14.17 MPa l réservation a 0.6 m enrobage = 0.1 m h console inf. c 0.25 m ft28 = 2.1 MPa h console sup. c 0.35 m Tract./compr 0 t enrobage /cdg ac 0.1 m ( inf ou sup) Compression négative hteur utile d=h-e= 1m 0.6 0.35 1.1 0.5 0.25 F = Mu/z = +/ 59.15 t (Traction Positive) 0.082 0.107 Vi + Vs = Vu = 70.65 t x = 0.105 m z = 0.958 m Vi/Vs = [(a/c1)^2+12/5)/((a/c2)^2+12/5))] * (c2/c1) = 0.47 Vs = 48.15 t Vi = 22.50 t Console Supérieure reprise de bétonnage (Oui/Non non pas de reprise de bétonnage ou indentations > 5mm Nu = F( Compression)-Traction*c1/(c1+c2)= -59.15 t Vu = Vs = +/- 48.15 t Mu = +/- Vs * a / 2 + Nu * (hs/2 - 0.4*x)= 22.30 t.m moments au centre de -6.59 t.m la console supérieure k = 1.41 3.06 At/st (cm²/ml) = 31.22 cm²/ml esp max. = 0.8 h 0.28 m Console Inférieure reprise de bétonnage (Oui/Non Non pas de reprise de bétonnage ou indentations > 5mm Nu = F( Traction)+Traction*c2/(c1+c2)= 59.15 t Vu = Vi = +/- 22.50 t Mu = +/- Vi * a / 2 + Nu * ((c2/2)-e) = 8.23 t.m moments au centre de -5.27 t.m la console inférieure k = -0.89 2.00 At/st (cm²/ml) = 36.84 cm²/ml esp max. = 0.8 h 0.20 m Renforts (suspentes) premier côté deuxième côté Vu = 48.15 22.50 t 11.07 5.18 cm² ss = sbc = mbu = a = tu (Mpa)= tu (Mpa)= A=Vu/(fe/gs)=
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Trou Poutre (1)
Transcript of Trou Poutre (1)
Thonnier - moment positifCalcul d'une rservation(Mthode de H. Thonnier)Efforts globauxMoment Mu =56.655t.m (>0 tend la fibre infrieure)Tranchant Vu =70.65tFe =500MPah poutre =1.1mfc28 =25MPabo poutre =0.5mss =435MPah rservation c =0.5msbc =14.17MPal rservation a =0.6menrobage =0.1mh console inf. c2 =0.25mft28 =2.1MPah console sup. c1 =0.35mTract./compr0tenrobage /cdg ac.=0.1m ( inf ou sup)Compression ngativehteur utile d=h-e=1m0.60.351.10.50.25F = Mu/z = +/-59.15t(Traction Positive)mbu =0.082a =0.107Vi + Vs = Vu =70.65tx =0.105mz =0.958mVi/Vs = [(a/c1)^2+12/5)/((a/c2)^2+12/5))] * (c2/c1) =0.47Vs =48.15tVi =22.50tConsole Suprieurereprise de btonnage (Oui/Non)nonpas de reprise de btonnage ou indentations > 5mmNu = F( Compression)-Traction*c1/(c1+c2)=-59.15tVu = Vs =+/-48.15tMu = +/- Vs * a / 2 + Nu * (hs/2 - 0.4*x)=22.30t.mmoments au centre de-6.59t.mla console suprieurek =1.41tu (Mpa)=3.06At/st (cm/ml) =31.22cm/mlesp max. = 0.8 h =0.28mConsole Infrieurereprise de btonnage (Oui/Non)Nonpas de reprise de btonnage ou indentations > 5mmNu = F( Traction)+Traction*c2/(c1+c2)=59.15tVu = Vi =+/-22.50tMu = +/- Vi * a / 2 + Nu * ((c2/2)-e) =8.23t.mmoments au centre de-5.27t.mla console infrieurek =-0.89tu (Mpa)=2.00At/st (cm/ml) =36.84cm/mlesp max. = 0.8 h =0.20mRenforts (suspentes)premier ctdeuxime ctVu =48.1522.50tA=Vu/(fe/gs)=11.075.18cm
Thonnier - moment ngatifCalcul d'une rservation7.55.1(Mthode de H. Thonnier)trou 40*28hEfforts globauxMoment Mu =-20t.m (>0 tend la fibre infrieure)Tranchant Vu =49.7tFe =500MPah poutre =0.75mfc28 =35MPabo poutre =0.85mss =435MPah rservation c =0.28msbc =19.83MPal rservation a =0.4menrobage =0.035mh console inf. c2 =0.2mft28 =2.7MPah console sup. c1 =0.27mTract./compr49tenrobage /cdg ac.=0.1m ( inf ou sup)Compression ngativehteur utile d=h-e=0.65m0.40.270.750.280.2F = Mu/z = +/--31.20t(Traction Positive)mbu =0.026a =0.033Vi + Vs = Vu =49.70tx =0.022mz =0.641mVi/Vs = [(a/c1)^2+12/5)/((a/c2)^2+12/5))] * (c2/c1) =0.53Vs =32.45tVi =17.25tConsole Suprieurereprise de btonnage (Oui/Non)nonpas de reprise de btonnage ou indentations > 5mmNu = F( Compression)-Traction*c1/(c1+c2)=59.35tVu = Vs =+/-32.45tMu = +/- Vs * a / 2 + Nu *(c1/2)-e =4.41t.mmoments au centre de-13.97t.mla console suprieurek =0.26tu (Mpa)=1.57At/st (cm/ml) =33.22cm/mlesp max. = 0.8 h =0.216mConsole Infrieurereprise de btonnage (Oui/Non)Nonpas de reprise de btonnage ou indentations > 5mmNu = F( Traction)+Traction*c2/(c1+c2)=-10.35tVu = Vi =+/-17.25tMu = +/- Vi * a / 2 + Nu * (hi/2 - 0.4*x)=6.29t.mmoments au centre de-0.61t.mla console infrieurek =1.05tu (Mpa)=1.13At/st (cm/ml) =6.80cm/mlesp max. = 0.8 h =0.16mRenforts (suspentes)premier ctdeuxime ctVu =32.4517.25tA=Vu/(fe/gs)=7.463.97cm
Perchat - moment positifCalcul d'une rservation(Mthode de H. Thonnier)Efforts globauxMoment Mu =56.655t.m (>0 tend la fibre infrieure)Tranchant Vu =70.65tFe =500MPah poutre =1.1mfc28 =25MPabo poutre =0.5mss =435MPah rservation c =0.5msbc =14.17MPal rservation a =0.6menrobage =0.1mh console inf. c2 =0.25mft28 =2.1MPah console sup. c1 =0.35mTract./compr0tenrobage /cdg ac.=0.1m ( inf ou sup)Compression ngativehteur utile d=h-e=1m0.60.351.10.50.25F = Mu/z = +/-59.15t(Traction Positive)mbu =0.082a =0.107Vi + Vs = Vu =70.65tx =0.105mz =0.958mrapport=0.733Vs =51.78tVi =18.87tConsole Suprieurereprise de btonnage (Oui/Non)nonpas de reprise de btonnage ou indentations > 5mmNu = F( Compression)-Traction*c1/(c1+c2)=-59.15tVu = Vs =+/-51.78tMu = +/- Vs * a / 2 + Nu * (hs/2 - 0.4*x)=23.39t.mmoments au centre de-7.68t.mla console suprieurek =1.41tu (Mpa)=3.29At/st (cm/ml) =34.53cm/mlesp max. = 0.8 h =0.28mConsole Infrieurereprise de btonnage (Oui/Non)nonpas de reprise de btonnage ou indentations > 5mmNu = F( Traction)+Traction*c2/(c1+c2)=59.15tVu = Vi =+/-18.87tMu = +/- Vi * a / 2 + Nu * ((c2/2)-e) =7.14t.mmoments au centre de-4.18t.mla console infrieurek =-0.89tu (Mpa)=1.68At/st (cm/ml) =32.20cm/mlesp max. = 0.8 h =0.20mRenforts (suspentes)premier ctdeuxime ctVu =51.7818.87tA=Vu/(fe/gs)=11.914.34cm
