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Moment e Reac em apoios de tubo MOMENTOS E REAÇÕES EM VIGAS ISOSTÁTICAS COM DIVERSAS FORMAS DE CARREGAMENTOS TABELA DE SCHEDULES CONFORME ANSI B36.10 Diâm. Diâmetro Externo Espessura de parede Diâmetro Interno Área da Peso Identificação Momento módulo de Raio de nominal (Out. Diameter) (Wall Thickness) (Ins. Diameter) Secção (Weight) (Identification) de Inércia Resistência Giração C A R G A C O N C E N T R A D A pol. pol mm cm pol mm cm S cm² lbs/pé kg/m STD std,xs,xxs sched. nº J=I cm4 W cm³ R=ρ cm SOLICITAÇÃO MOMENTO MÁXIMO REAÇÕES DO APOIO FLECHA E VERIFICAÇÕES Ø1/8-SCH40 1/8 0.405 10.3 1.03 0.063 1.70 0.17 0.69 0.46 0.24 0.357 5L STD 40 0.04 0.09 0.31 Ø1/8-SCH80 1/8 10.3 1.03 0.095 2.40 0.24 0.55 0.60 0.31 0.461 5L XS 80 0.05 0.10 0.29 P = 3000.0 Kg Ø1/4-SCH40 1/4 0.540 13.7 1.37 0.088 2.20 0.22 0.93 0.79 0.42 0.625 5L STD 40 0.14 0.20 0.41 L = 32.0 cm M = P.L F = P.L³ Perfil -> Ø3-SCH40 Ø1/4-SCH80 1/4 13.7 1.37 0.119 3.00 0.30 0.77 1.01 0.54 0.804 5L XS 80 0.16 0.23 0.39 3.E.J Jx = 125.84 Ø3/8-SCH40 3/8 0.675 17.1 1.71 0.091 2.30 0.23 1.25 1.07 0.57 0.848 5L STD 40 0.30 0.35 0.53 M = 96000 Kg•cm RA = 3000.0 Kg Wx = 28.31 Ø3/8-SCH80 3/8 17.1 1.71 0.126 3.20 0.32 1.07 1.40 0.74 1.1 5L XS 80 0.36 0.42 0.50 Ø1/2-SCH40 1/2 0.840 21.3 2.13 0.109 2.80 0.28 1.57 1.63 0.85 1.26 5L STD 40 0.71 0.67 0.66 Ø1/2-SCH80 1/2 21.3 2.13 0.147 3.70 0.37 1.39 2.05 1.09 1.62 5L XS 80 0.83 0.78 0.64 F = 0.12 cm Wreq.= 68.57 Ø1/2-SCH160 1/2 21.3 2.13 0.188 4.80 0.48 1.17 2.49 1.31 1.95 160 0.92 0.86 0.61 Tubo Insuficinte, tente outro Ø1/2-ESP=0,75 1/2 21.3 2.13 0.294 7.50 0.75 0.63 3.25 1.71 2.54 5L XXS 1.00 0.94 0.56 Ø3/4-SCH40 3/4 1.050 26.7 2.67 0.113 2.90 0.29 2.09 2.17 1.13 1.68 5L STD 40 1.56 1.17 0.85 Ø3/4-SCH80 3/4 26.7 2.67 0.154 3.90 0.39 1.89 2.79 1.47 2.19 5L XS 80 1.87 1.40 0.82 P = 50.0 Kg Perfil -> Ø1/8-SCH40 Ø3/4-SCH160 3/4 26.7 2.67 0.219 5.60 0.56 1.55 3.71 1.94 2.89 160 2.21 1.66 0.77 L = 30.0 cm M = P.L RA/B = P = 25.0 Kg F = P.L³ Jx = 0.04 Ø3/4-ESP=0,78 3/4 26.7 2.67 0.308 7.80 0.78 1.11 4.63 2.44 3.63 5L XXS 2.42 1.81 0.72 4 2 48.E.J Wx = 0.09 Ø1-SCH40 1 1.315 33.4 3.34 0.133 3.40 0.34 2.66 3.20 1.68 2.5 5L STD 40 3.65 2.19 1.07 Ø1-SCH80 1 33.4 3.34 0.179 4.50 0.45 2.44 4.09 2.17 3.23 5L XS 80 4.37 2.62 1.03 M = 375 Kg•cm F = 0.30 cm Wreq.= 0.27 Ø1-SCH160 1 33.4 3.34 0.250 6.40 0.64 2.06 5.43 2.84 4.23 160 5.22 3.13 0.98 Tubo Insuficinte, tente outro Ø1-ESP=0,91 1 33.4 3.34 0.358 9.10 0.91 1.52 6.95 3.66 5.45 5L XXS 5.85 3.50 0.92 Ø1 1/4-SCH40 1 1/4 1.660 42.2 4.22 0.140 3.60 0.36 3.50 4.37 2.27 3.38 5L STD 40 8.20 3.89 1.37 Ø1 1/4-SCH80 1 1/4 42.2 4.22 0.191 4.80 0.48 3.26 5.64 3 4.46 5L XS 80 10.02 4.75 1.33 P = 500.0 Kg Perfil -> Ø1/8-SCH40 Ø1 1/4-SCH160 1 1/4 42.2 4.22 0.250 6.40 0.64 2.94 7.20 3.76 5.6 160 11.90 5.64 1.29 a = 39.0 cm M = P.a.b RA = P.b = 190.48 Kg F = P.L³ . 1 a² . b² Jx = 0.04 Ø1 1/4-ESP=0,97 1 1/4 42.2 4.22 0.382 9.70 0.97 2.28 9.90 5.21 7.75 5L XXS 14.24 6.75 1.20 b = 24.0 cm L L E.J 3 L L Wx = 0.09 Ø1 1/2-SCH40 1 1/2 1.900 48.3 4.83 0.145 3.70 0.37 4.09 5.18 2.72 4.05 5L STD 40 12.98 5.37 1.58 a > b Ø1 1/2-SCH80 1 1/2 48.3 4.83 0.200 5.10 0.51 3.81 6.92 3.63 5.4 5L XS 80 16.37 6.78 1.54 RB = P.a = 309.52 Kg F = 25.0144 cm Wreq.= 5.31 Ø1 1/2-SCH160 1 1/2 48.3 4.83 0.281 7.10 0.71 3.41 9.19 4.86 7.23 160 20.08 8.31 1.48 M = 7428.57 Kg•cm L Perfil Insuficinte, tente outro Ø1 1/2-ESP=1,02 1 1/2 48.3 4.83 0.400 10.20 1.02 2.79 12.21 6.41 9.54 5L XXS 23.74 9.83 1.39 Ø2-SCH40 2 2.375 60.3 6.03 0.154 3.90 0.39 5.25 6.91 3.65 5.43 5L STD 40 27.61 9.16 2.00 Ø2-SCH80 2 60.3 6.03 0.218 5.50 0.55 4.93 9.47 5.02 7.47 5L XS 80 35.90 11.91 1.95 P = 100.0 Kg F = P.a . (3b²+8a²+12ab).1 Ø28-SCH30 Ø2-SCH160 2 60.3 6.03 0.344 8.70 0.87 4.29 14.10 7.46 11.1 160 48.27 16.01 1.85 a = 100.0 cm M = P.a E.J 24 Jx = 209991.03 Ø2-ESP=1,11 2 60.3 6.03 0.436 11.10 1.11 3.81 17.16 9.03 13.4 5L XXS 54.56 18.09 1.78 b = 363.5 cm RA/B = P = 100.0 Kg Wx = 5905.26 Ø2 1/2-SCH40 2 1/2 2.875 73 7.30 0.203 5.20 0.52 6.26 11.08 5.79 8.62 5L STD 40 64.02 17.54 2.40 M = 10000 Kg•cm F = 0.0009 cm Wreq.= 7.14 Ø2 1/2-SCH80 2 1/2 73 7.30 0.276 7.00 0.70 5.90 14.51 7.66 11.4 5L XS 80 79.92 21.90 2.35 Perfil OK Ø2 1/2-SCH160 2 1/2 73 7.30 0.375 9.50 0.95 5.40 18.95 10.01 14.9 160 97.66 26.76 2.27 Ø2 1/2-ESP=1,4 2 1/2 73 7.30 0.552 14.00 1.40 4.50 25.95 13.7 20.4 5L XXS 119.27 32.68 2.14 Ø3-ESP=0,32 3 3.500 88.9 8.89 0.125 3.20 0.32 8.25 8.62 4.51 6.71 5L 79.21 17.82 3.03 P = 50.0 Kg Ø1/8-SCH40 Ø3-ESP=0,4 3 88.9 8.89 0.156 4.00 0.40 8.09 10.67 5.58 8.3 5L 96.34 21.67 3.00 a = 75.0 cm M = P.L Jx = 0.04 Ø3-ESP=0,48 3 88.9 8.89 0.188 4.80 0.48 7.93 12.68 6.63 9.87 5L 112.49 25.31 2.98 2 Wx = 0.09 Ø3-SCH40 3 88.9 8.89 0.216 5.50 0.55 7.79 14.41 7.58 11.3 5L STD 40 125.84 28.31 2.96 RA/B = 3.P = 75.00 Kg Ø3-ESP=0,64 3 88.9 8.89 0.250 6.40 0.64 7.61 16.59 8.68 12.9 5L 141.97 31.94 2.93 M= 7500 Kg•cm 2 Wreq.= 5.36 Ø3-ESP=0,71 3 88.9 8.89 0.281 7.10 0.71 7.47 18.25 9.67 14.4 5L 153.76 34.59 2.90 Perfil Insuficiente Ø3-SCH80 3 88.9 8.89 0.300 7.60 0.76 7.37 19.41 10.25 15.3 5L XS 80 161.78 36.40 2.89 Ø3-SCH160 3 88.9 8.89 0.438 11.10 1.11 6.67 27.13 14.31 21.3 160 209.45 47.12 2.78 Ø3-ESP=1,52 3 88.9 8.89 0.600 15.20 1.52 5.85 35.19 18.58 27.7 5L XXS 249.11 56.04 2.66 Ø3 1/2-ESP=0,32 3 1/2 4.000 101.6 10.16 0.125 3.20 0.32 9.52 9.89 5.17 7.69 5L 119.85 23.59 3.48 Ø3 1/2-ESP=0,4 3 1/2 101.6 10.16 0.156 4.00 0.40 9.36 12.26 6.41 9.54 5L 146.28 28.80 3.45 Ø3 1/2-ESP=0,48 3 1/2 101.6 10.16 0.188 4.80 0.48 9.20 14.60 7.63 11.4 5L 171.39 33.74 3.43 Ø3 1/2-SCH40 3 1/2 101.6 10.16 0.226 5.70 0.57 9.02 17.17 9.11 13.6 5L STD 40 198.12 39.00 3.40 MOMENTOS E REAÇÕES EM VIGAS ISOSTÁTICAS COM DIVERSAS FORMAS DE CARREGAMENTOS Ø3 1/2-ESP=0,64 3 1/2 101.6 10.16 0.250 6.40 0.64 8.88 19.14 10.01 14.9 5L 217.83 42.88 3.37 Ø3 1/2-ESP=0,71 3 1/2 101.6 10.16 0.281 7.10 0.71 8.74 21.08 11.17 16.6 5L 236.62 46.58 3.35 Ø3 1/2-SCH80 3 1/2 101.6 10.16 0.318 8.10 0.81 8.54 23.79 12.51 18.6 5L XS 80 261.96 51.57 3.32 C A R G A D I S T R I B U Í D A FLECHA E VERIFICAÇÕES Ø4-ESP=0,32 4 4.500 114.3 11.43 0.125 3.20 0.32 10.79 11.17 5.84 8.69 5L 172.47 30.18 3.93 Ø4-ESP=0,4 4 114.3 11.43 0.156 4.00 0.40 10.63 13.86 7.25 10.8 5L 211.07 36.93 3.90 q = 14.0 Kg/cm Ø3-SCH40 Ø4-ESP=0,48 4 114.3 11.43 0.188 4.80 0.48 10.47 16.51 8.64 12.9 5L 247.96 43.39 3.88 L = 30.0 cm M = q.L² F = P.L³ . 5 Jx = 125.84 Ø4-ESP=0,56 4 114.3 11.43 0.219 5.60 0.56 10.31 19.12 10 14.9 5L 283.20 49.55 3.85 8 RA/B = q.L = 210.00 Kg E.J 384 Wx = 28.31 Ø4-SCH40 4 114.3 11.43 0.237 6.00 0.60 10.23 20.41 10.79 16.1 5L STD 40 300.21 52.53 3.83 2 Ø4-ESP=0,64 4 114.3 11.43 0.250 6.40 0.64 10.15 21.69 11.35 16.9 5L 316.83 55.44 3.82 M= 1575 Kg•cm F = 0.0000 cm Wreq.= 1.13 Ø4-ESP=0,71 4 114.3 11.43 0.281 7.10 0.71 10.01 23.91 12.67 18.9 5L 344.99 60.37 3.80 Perfil OK Ø4-ESP=0,79 4 114.3 11.43 0.312 7.90 0.79 9.85 26.41 13.98 20.8 5L 375.75 65.75 3.77 Ø4-SCH80 4 114.3 11.43 0.337 8.60 0.86 9.71 28.56 14.98 22.3 5L XS 80 401.47 70.25 3.75 Ø4-SCH120 4 114.3 11.43 0.438 11.10 1.11 9.21 35.99 18.98 28.2 120 484.64 84.80 3.67 Ø4-SCH160 4 114.3 11.43 0.531 13.50 1.35 8.73 42.75 22.52 33.5 160 552.71 96.71 3.60 q = 200.0 Kg/cm Ø1/2-SCH160 Ø4-ESP=1,71 4 114.3 11.43 0.674 17.10 1.71 8.01 52.22 27.54 41 5L XXS 635.76 111.24 3.49 a = 80.0 cm RA = q.a(L+b) = 9600.00 Kg Jx = 0.92 Ø5-ESP=0,4 5 5.563 141.3 14.13 0.156 4 0.40 13.33 17.25 9.02 13.4 5L 406.91 57.60 4.86 b = 20.0 cm M = q.a²(L+b)² 2L Wx = 0.86 Ø5-ESP=0,48 5 141.3 14.13 0.188 4.8 0.48 13.17 20.58 10.76 16 5L 479.99 67.94 4.83 8.L² Ø5-ESP=0,56 5 141.3 14.13 0.219 5.6 0.56 13.01 23.87 12.49 18.6 5L 550.46 77.91 4.80 RB = q.a² = 6400.00 Kg Wreq.= 164.57 Ø5-SCH40 5 141.3 14.13 0.258 6.6 0.66 12.81 27.93 14.62 21.8 5L STD 40 634.96 89.87 4.77 M= 230400 Kg•cm 2L Perfil Insuficiente, tente outro Ø5-ESP=0,71 5 141.3 14.13 0.281 7.1 0.71 12.71 29.93 15.87 23.6 5L 675.76 95.65 4.75 Ø5-ESP=0,79 5 141.3 14.13 0.312 7.9 0.79 12.55 33.11 17.52 26.1 5L 739.05 104.61 4.72 Ø5-ESP=0,87 5 141.3 14.13 0.344 8.7 0.87 12.39 36.24 19.16 28.5 5L 799.97 113.23 4.70 Ø5-SCH80 5 141.3 14.13 0.375 9.5 0.95 12.23 39.34 20.78 30.9 5L XS 80 858.58 121.53 4.67 q = 100.0 Kg/cm Ø3/4-SCH80 Ø5-SCH120 5 141.3 14.13 0.500 12.7 1.27 11.59 51.31 27.04 40.2 120 1071.03 151.60 4.57 c = 50.0 cm Jx = 1.87 Ø5-SCH160 5 141.3 14.13 0.625 15.9 1.59 10.95 62.64 32.96 49 160 1251.05 177.08 4.47 L = 300.0 cm M = q.c.(L-c) Wx = 1.40 Ø5-ESP=1,9 5 141.3 14.13 0.750 19 1.90 10.33 73.00 38.55 57.4 5L XXS 1397.82 197.85 4.38 2 Ø6-ESP=0,48 6 6.625 168.3 16.83 0.188 4.80 0.48 15.87 24.66 12.89 19.2 5L,5LX 824.57 97.99 5.78 RA/B = q.c = 5000.0 Kg Wreq.= 446.43 Ø6-ESP=0,56 6 168.3 16.83 0.219 5.60 0.56 15.71 28.62 14.97 22.3 5L,5LX 948.25 112.69 5.76 Ø6-ESP=0,64 6 168.3 16.83 0.250 6.40 0.64 15.55 32.55 17.02 25.3 5L,5LX 1068.21 126.94 5.73 M= 625000 Kg•cm Perfil Insuficiente, tente outro Ø6-SCH40 6 168.3 16.83 0.280 7.10 0.71 15.41 35.96 18.97 28.2 5L,5LX STD 40 1170.19 139.06 5.70 Ø6-ESP=0,79 6 168.3 16.83 0.312 7.90 0.79 15.25 39.81 21.07 31.4 5L,5LX 1283.37 152.51 5.68 Ø6-ESP=0,87 6 168.3 16.83 0.344 8.70 0.87 15.09 43.62 23.06 34.3 5L,5LX 1393.05 165.54 5.65 Ø6-ESP=0,95 6 168.3 16.83 0.375 9.50 0.95 14.93 47.39 25.03 37.2 5L,5LX 1499.29 178.17 5.62 q = 5000.0 Kg/cm Ø28-SCH30 Ø6-SCH80 6 168.3 16.83 0.432 11.00 1.10 14.63 54.36 28.57 42.5 5L,5LX XS 80 1689.50 200.77 5.57 a = 20.0 cm Jx = 209991.03 Ø6-SCH120 6 168.3 16.83 0.562 14.30 1.43 13.97 69.18 36.42 54.2 120 2068.65 245.83 5.47 b = 30.0 cm M = 2q.a.c.(b-c + ac) RA = 2.q.c(L-c) = 80000.00 Kg Wx = 5905.26 Ø6-SCH160 6 168.3 16.83 0.719 18.30 1.83 13.17 86.24 45.34 67.5 160 2461.51 292.51 5.34 c = 10.0 cm L L² L Ø6-ESP=2,19 6 168.3 16.83 0.864 21.90 2.19 12.45 100.72 53.16 79.1 5L XXS 2758.92 327.86 5.23 Wreq.= 685.71 Ø8-ESP=0,48 8 8.865 219.1 21.91 0.188 4.8 0.48 20.95 32.32 16.9 25.1 5L,5LX 1856.03 169.42 7.58 RB = 2.q.c(L-b) = 40000.00 Kg Ø8-ESP=0,52 8 219.1 21.91 0.203 5.2 0.52 20.87 34.94 18.27 27.2 5L,5LX 1999.64 182.53 7.56 M= 960000.0000000001 Kg•cm L Perfil OK Ø8-ESP=0,56 8 219.1 21.91 0.219 5.6 0.56 20.79 37.56 19.64 29.2 5L,5LX 2141.61 195.49 7.55 Ø8-SCH20 8 219.1 21.91 0.250 6.4 0.64 20.63 42.77 22.36 33.3 5L,5LX 20 2420.67 220.96 7.52 Ø8-SCH30 8 219.1 21.91 0.277 7 0.70 20.51 46.64 24.7 36.8 5L,5LX 30 2625.75 239.68 7.50 Ø8-ESP=0,79 8 219.1 21.91 0.312 7.9 0.79 20.33 52.42 27.74 41.3 5L,5LX 2926.68 267.16 7.47 Ø8-SCH40 8 219.1 21.91 0.322 8.2 0.82 20.27 54.33 28.55 42.5 5L,5LX STD 40 3025.24 276.15 7.46 Ø8-ESP=0,87 8 219.1 21.91 0.344 8.7 0.87 20.17 57.51 30.4 45.2 5L,5LX 3187.56 290.97 7.45 Ø8-ESP=0,95 8 219.1 21.91 0.375 9.5 0.95 20.01 62.56 33.04 49.2 5L,5LX 3442.30 314.22 7.42 Ø8-ESP=1,03 8 219.1 21.91 0.406 10.3 1.03 19.85 67.56 35.66 53.1 3691.00 336.92 7.39 Ø8-ESP=1,11 8 219.1 21.91 0.438 11.1 1.11 19.69 72.53 38.26 56.9 5L,5LX 3933.76 359.08 7.36 Ø8-SCH80 8 219.1 21.91 0.500 12.7 1.27 19.37 82.35 43.39 64.6 5L,5LX XS 80 4401.84 401.81 7.31 Ø8-SCH100 8 219.1 21.91 0.594 15.1 1.51 18.89 96.77 50.93 75.8 100 5061.75 462.05 7.23 Ø8-SCH120 8 219.1 21.91 0.719 18.3 1.83 18.25 115.44 60.69 90.3 120 5866.71 535.53 7.13 Ø8-SCH140 8 219.1 21.91 0.812 20.6 2.06 17.79 128.46 67.79 101 140 6395.30 583.78 7.06 Ø8-ESP=2,22 8 219.1 21.91 0.850 22.2 2.22 17.47 137.32 72.42 108 5L XXS 6739.63 615.21 7.01 Ø8-SCH160 8 219.1 21.91 0.906 23 2.30 17.31 141.70 74.71 111 160 6904.85 630.29 6.98 Ø10-ESP=0,48 10 10.750 273 27.3 0.188 4.8 0.48 26.34 40.44 21.15 31.5 5L,5LX 3637.61 266.49 9.48 Ø10-ESP=0,52 10 273 27.3 0.203 5.2 0.52 26.26 43.75 22.88 34 5LX 3923.36 287.43 9.47 Ø10-ESP=0,56 10 273 27.3 0.219 5.6 0.56 26.18 47.04 24.6 36.6 5L, 5LX 4206.52 308.17 9.46 Ø10-SCH20 10 273 27.3 0.250 6.4 0.64 26.02 53.60 28.04 41.7 5L, 5LX 20 4765.08 349.09 9.43 Ø10-ESP=0,71 10 273 27.3 0.279 7.1 0.71 25.88 59.31 31.2 46.4 5L, 5LX 5245.45 384.28 9.40 Ø10-SCH30 10 273 27.3 0.307 7.8 0.78 25.74 64.99 34.24 51 5L, 5LX 30 5718.08 418.91 9.38 Ø10-ESP=0,87 10 273 27.3 0.344 8.7 0.87 25.56 72.24 38.2 56.8 5L, 5LX 6314.53 462.60 9.35 Ø10-SCH40 10 273 27.3 0.365 9.3 0.93 25.44 77.04 40.48 60.2 5L, 5LX STD 40 6705.22 491.22 9.33 Ø10-ESP=1,11 10 273 27.3 0.438 11.1 1.11 25.08 91.33 48.19 71.7 5L, 5LX 7844.56 574.69 9.27 Ø10-SCH60 10 273 27.3 0.500 12.7 1.27 24.76 103.86 54.74 81.5 5L, 5LX XS 60 8816.96 645.93 9.21 Ø10-SCH80 10 273 27.3 0.594 15.1 1.51 24.28 122.34 64.4 95.8 80 10206.51 747.73 9.13 Ø10-SCH100 10 273 27.3 0.719 18.3 1.83 23.64 146.43 77 115 100 11935.32 874.38 9.03 Ø10-SCH120 10 273 27.3 0.844 21.4 2.14 23.02 169.15 89.27 133 120 13481.44 987.65 8.93 Ø10-SCH140 10 273 27.3 1.000 25.4 2.54 22.22 197.58 104.13 155 XXS 140 15300.02 1120.88 8.80 Ø10-SCH160 10 273 27.3 1.125 28.6 2.86 21.58 219.59 115.65 172 160 16620.21 1217.60 8.70 Ø12-ESP=0,52 12 12.750 323.8 32.38 0.203 5.2 0.52 31.34 52.05 27.22 40.5 5LX 6605.66 408.01 11.27 Ø12-ESP=0,56 12 323.8 32.38 0.219 5.6 0.56 31.26 55.98 29.28 43.6 5L, 5LX 7087.33 437.76 11.25 Ø12-SCH20 12 323.8 32.38 0.250 6.4 0.64 31.10 63.82 33.38 49.7 5L, 5LX 20 8039.65 496.58 11.22 Ø12-ESP=0,71 12 323.8 32.38 0.281 7.1 0.71 30.96 70.64 37.45 55.7 5L, 5LX 8860.96 547.31 11.20 Ø12-ESP=0,79 12 323.8 32.38 0.312 7.9 0.79 30.80 78.40 41.51 61.8 5L, 5LX 9786.05 604.45 11.17 Ø12-SCH30 12 323.8 32.38 0.330 8.4 0.84 30.70 83.23 43.77 65.1 5L, 5LX 30 10356.96 639.71 11.16 Ø12-ESP=0,87 12 323.8 32.38 0.344 8.7 0.87 30.64 86.12 45.55 67.8 5L, 5LX 10696.83 660.71 11.14 Ø12-ESP=0,95 12 323.8 32.38 0.375 9.5 0.95 30.48 93.80 49.56 73.8 5L, 5LX STD 11593.46 716.09 11.12 Ø12-SCH40 12 323.8 32.38 0.406 10.3 1.03 30.32 101.44 53.56 79.7 5LX 40 12476.08 770.60 11.09 Ø12-ESP=1,11 12 323.8 32.38 0.438 11.1 1.11 30.16 109.04 57.53 85.6 5L, 5LX 13344.84 824.26 11.06 Ø12-ESP=1,27 12 323.8 32.38 0.500 12.7 1.27 29.84 124.12 65.42 97.4 5L, 5LX XS 15041.35 929.05 11.01 Ø12-SCH60 12 323.8 32.38 0.562 14.3 1.43 29.52 139.04 73.22 109 60 16684.15 1030.52 10.95 Ø12-SCH80 12 323.8 32.38 0.688 17.5 1.75 28.88 168.40 88.57 132 80 19813.18 1223.79 10.85 Ø12-SCH100 12 323.8 32.38 0.844 21.4 2.14 28.10 203.30 107.29 160 100 23355.47 1442.59 10.72 Ø12-SCH120 12 323.8 32.38 1.000 25.4 2.54 27.30 238.11 125.49 187 XXS 120 26694.72 1648.84 10.59 Ø12-SCH140 12 323.8 32.38 1.125 28.6 2.86 26.66 265.24 139.68 208 140 29163.02 1801.30 10.49 Ø12-SCH160 12 323.8 32.38 1.312 33.3 3.33 25.72 303.91 160.33 239 160 32479.70 2006.16 10.34 Ø14-ESP=0,53 14 14.000 355.6 35.56 0.210 5.3 0.53 34.50 58.33 30.93 46 5LX 8948.61 503.30 12.39 Ø14-ESP=0,56 14 355.6 35.56 0.219 5.6 0.56 34.44 61.58 32.2 47.9 5LX 9431.12 530.43 12.38 Ø14-ESP=0,64 14 355.6 35.56 0.250 6.4 0.64 34.28 70.21 36.71 54.6 5L, 5LX 10705.54 602.11 12.35 Ø14-ESP=0,71 14 355.6 35.56 0.281 7.1 0.71 34.14 77.73 41.21 61.3 5L, 5LX 11806.11 664.01 12.32 Ø14-ESP=0,79 14 355.6 35.56 0.312 7.9 0.79 33.98 86.29 45.68 68 5L, 5LX 13047.44 733.83 12.30 Ø14-ESP=0,87 14 355.6 35.56 0.344 8.7 0.87 33.82 94.81 50.14 74.6 5L, 5LX 14271.35 802.66 12.27 Ø14-SCH30 14 355.6 35.56 0.375 9.5 0.95 33.66 103.29 54.57 81.2 5L, 5LX STD 30 15478.02 870.53 12.24 Ø14-SCH40 14 355.6 35.56 0.438 11.1 1.11 33.34 120.13 63.37 94.3 5L, 5LX 40 17840.26 1003.39 12.19 Ø14-ESP=1,19 14 355.6 35.56 0.469 11.9 1.19 33.18 128.49 67.78 101 5LX 18996.16 1068.40 12.16 Ø14-ESP=1,27 14 355.6 35.56 0.500 12.7 1.27 33.02 136.81 72.09 107 5L, 5LX XS 20135.45 1132.48 12.13 Ø14-SCH60 14 355.6 35.56 0.594 15.1 1.51 32.54 161.53 85.01 127 60 23455.32 1319.20 12.05 Ø14-SCH80 14 355.6 35.56 0.750 19 1.9 31.76 200.92 106.13 158 80 28545.48 1605.48 11.92 Ø14-SCH100 14 355.6 35.56 0.938 23.8 2.38 30.80 248.09 130.79 195 100 34315.85 1930.03 11.76 Ø14-SCH120 14 355.6 35.56 1.094 27.8 2.78 30.00 286.29 150.76 224 120 38729.68 2178.27 11.63 Ø14-SCH140 14 355.6 35.56 1.250 31.8 3.18 29.20 323.48 170.22 253 140 42804.18 2407.43 11.50 Ø14-SCH160 14 355.6 35.56 1.406 35.7 3.57 28.42 358.78 189.15 281 160 46467.16 2613.45 11.38 Ø14-ESP=5,08 14 355.6 35.56 2.000 50.8 5.08 25.40 486.44 256.32 381 58058.75 3265.40 10.92 Ø14-ESP=5,4 14 355.6 35.56 2.125 54 5.4 24.76 511.65 269.51 401 60041.48 3376.91 10.83 Ø14-ESP=5,59 14 355.6 35.56 2.200 55.9 5.59 24.38 526.32 277.26 413 61148.25 3439.16 10.78 Ø14-ESP=6,35 14 355.6 35.56 2.500 63.5 6.35 22.86 582.71 307.05 457 65085.22 3660.59 10.57 Ø16-ESP=0,56 16 16.000 406.4 40.64 0.219 5.6 0.56 39.52 70.51 36.87 54.9 5LX 14161.71 696.93 14.17 Ø16-SCH10 16 406.4 40.64 0.250 6.4 0.64 39.36 80.42 42.05 62.6 5L, 5LX 10 16089.07 791.79 14.14 Ø16-ESP=0,71 16 406.4 40.64 0.281 7.1 0.71 39.22 89.07 47.22 70.3 5L, 5LX 17756.34 873.84 14.12 Ø16-SCH20 16 406.4 40.64 0.312 7.9 0.79 39.06 98.90 52.36 77.9 5L, 5LX 20 19640.05 966.54 14.09 Ø16-ESP=0,87 16 406.4 40.64 0.344 8.7 0.87 38.90 108.70 57.48 85.5 5L, 5LX 21500.75 1058.11 14.06 Ø16-SCH30 16 406.4 40.64 0.375 9.5 0.95 38.74 118.46 62.58 93.1 5L, 5LX STD 30 23338.64 1148.56 14.04 Ø16-ESP=1,11 16 406.4 40.64 0.438 11.1 1.11 38.42 137.85 72.72 108 5L, 5LX 26946.70 1326.12 13.98 Ø16-ESP=1,19 16 406.4 40.64 0.469 11.9 1.19 38.26 147.48 77.75 116 5LX 28717.25 1413.25 13.95 Ø16-SCH40 16 406.4 40.64 0.500 12.7 1.27 38.10 157.08 82.77 123 5L, 5LX XS 40 30465.73 1499.30 13.93 Ø16-SCH60 16 406.4 40.64 0.656 16.7 1.67 37.30 204.45 107.54 160 60 38883.41 1913.55 13.79 Ø16-SCH80 16 406.4 40.64 0.844 21.4 2.14 36.36 258.84 136.58 203 80 48105.59 2367.40 13.63 Ø16-SCH100 16 406.4 40.64 1.031 26.2 2.62 35.40 312.94 164.86 245 100 56813.95 2795.96 13.47 Ø16-SCH120 16 406.4 40.64 1.219 31 3.1 34.44 365.60 192.4 286 120 64841.92 3191.04 13.32 Ø16-SCH140 16 406.4 40.64 1.438 36.5 3.65 33.34 424.16 223.57 333 140 73251.06 3604.88 13.14 Ø16-SCH160 16 406.4 40.64 1.594 40.5 4.05 32.54 465.55 245.22 365 160 78866.13 3881.21 13.02 Ø18-SCH10 18 18.000 457.2 45.72 0.250 6.4 0.64 44.44 90.64 47.39 70.5 5L, 5LX 10 23029.21 1007.40 15.94 Ø18-ESP=0,71 18 457.2 45.72 0.281 7.1 0.71 44.30 100.40 53.22 79.2 5L, 5LX 25430.41 1112.44 15.92 Ø18-SCH20 18 457.2 45.72 0.312 7.9 0.79 44.14 111.51 59.03 87.8 5L, 5LX 20 28146.89 1231.27 15.89 Ø18-ESP=0,87 18 457.2 45.72 0.344 8.7 0.87 43.98 122.58 64.82 96.5 5L, 5LX 30834.00 1348.82 15.86 Ø18-ESP=0,95 18 457.2 45.72 0.375 9.5 0.95 43.82 133.62 70.59 105 5L, 5LX STD 33491.94 1465.09 15.83 Ø18-ESP=1,03 18 457.2 45.72 0.406 10.3 1.03 43.66 144.61 76.34 114 5LX 36120.92 1580.09 15.80 Ø18-SCH30 18 457.2 45.72 0.438 11.1 1.11 43.50 155.56 82.06 122 5L, 5LX 30 38721.16 1693.84 15.78 Ø18-ESP=1,19 18 457.2 45.72 0.469 11.9 1.19 43.34 166.48 87.77 131 5LX 41292.86 1806.34 15.75 Ø18-ESP=1,27 18 457.2 45.72 0.500 12.7 1.27 43.18 177.35 93.45 139 5L, 5LX XS 43836.24 1917.60 15.72 Ø18-SCH40 18 457.2 45.72 0.562 14.3 1.43 42.86 198.97 104.76 156 40 48838.85 2136.43 15.67 Ø18-SCH60 18 457.2 45.72 0.750 19 1.9 41.92 261.56 138.17 206 60 62899.37 2751.50 15.51 Ø18-SCH80 18 457.2 45.72 0.938 23.8 2.38 40.96 324.05 170.84 254 80 76315.24 3338.37 15.35 Ø18-SCH100 18 457.2 45.72 1.156 29.4 2.94 39.84 395.13 208 310 100 90818.82 3972.83 15.16 Ø18-SCH120 18 457.2 45.72 1.375 34.9 3.49 38.74 463.02 244.14 363 120 103921.31 4545.99 14.98 Ø18-SCH140 18 457.2 45.72 1.562 39.7 3.97 37.78 520.71 274.3 408 140 114479.86 5007.87 14.83 Ø18-SCH160 18 457.2 45.72 1.781 45.2 4.52 36.68 585.04 308.55 459 160 125627.85 5495.53 14.65 Ø20-SCH10 20 20.000 508 50.8 0.250 6.4 0.64 49.52 100.85 52.73 78.5 5L, 5LX 10 31723.65 1248.96 17.74 Ø20-ESP=0,71 20 508 50.8 0.281 7.1 0.71 49.38 111.73 59.23 88.1 5L, 5LX 35047.62 1379.83 17.71 Ø20-ESP=0,79 20 508 50.8 0.312 7.9 0.79 49.22 124.12 65.71 97.8 5L, 5LX 38811.99 1528.03 17.68 Ø20-ESP=0,87 20 508 50.8 0.344 8.7 0.87 49.06 136.47 72.16 107 5L, 5LX 42539.82 1674.80 17.66 Ø20-SCH20 20 508 50.8 0.375 9.5 0.95 48.90 148.78 78.6 117 5L, 5LX STD 20 46231.36 1820.13 17.63 Ø20-ESP=1,03 20 508 50.8 0.406 10.3 1.03 48.74 161.05 85.01 127 5LX 49886.84 1964.05 17.60 Ø20-ESP=1,11 20 508 50.8 0.438 11.1 1.11 48.58 173.28 91.41 136 5L, 5LX 53506.50 2106.55 17.57 Ø20-ESP=1,19 20 508 50.8 0.469 11.9 1.19 48.42 185.47 97.78 146 5LX 57090.57 2247.66 17.54 Ø20-SCH30 20 508 50.8 0.500 12.7 1.27 48.26 197.62 104.13 155 5L, 5LX XS 30 60639.28 2387.37 17.52 Ø20-SCH40 20 508 50.8 0.594 15.1 1.51 47.78 233.82 123.06 183 40 71075.62 2798.25 17.43 Ø20-SCH60 20 508 50.8 0.812 20.6 2.06 46.68 315.43 166.5 248 60 93833.69 3694.24 17.25 Ø20-SCH80 20 508 50.8 1.031 26.3 2.63 45.54 398.00 208.92 311 80 115781.26 4558.32 17.06 Ø20-SCH100 20 508 50.8 1.281 32.5 3.25 44.30 485.49 256.15 381 100 137853.86 5427.32 16.85 Ø20-SCH120 20 508 50.8 1.500 38.1 3.81 43.18 562.45 296.37 441 120 156259.69 6151.96 16.67 Ø20-SCH140 20 508 50.8 1.750 44.4 4.44 41.92 646.66 341.1 508 140 175322.83 6902.47 16.47 Ø20-SCH160 20 508 50.8 1.969 50 5 40.80 719.42 379.14 564 160 190884.96 7515.16 16.29 Ø22-SCH10 22 22.000 558.8 55.88 0.250 6.4 0.64 54.60 111.07 58.07 86.4 5LX 10 42370.07 1516.47 19.53 Ø22-ESP=0,71 22 558.8 55.88 0.281 7.1 0.71 54.46 123.06 65.24 97.1 5LX 46827.30 1675.99 19.51 Ø22-ESP=0,79 22 558.8 55.88 0.312 7.9 0.79 54.30 136.73 72.38 108 5L, 5LX 51879.36 1856.81 19.48 Ø22-ESP=0,87 22 558.8 55.88 0.344 8.7 0.87 54.14 150.35 79.51 118 5L, 5LX 56886.95 2036.04 19.45 Ø22-SCH20 22 558.8 55.88 0.375 9.5 0.95 53.98 163.94 86.61 129 5L, 5LX STD 20 61850.35 2213.68 19.42 Ø22-ESP=1,03 22 558.8 55.88 0.406 10.3 1.03 53.82 177.49 93.69 139 5LX 66769.81 2389.76 19.40 Ø22-ESP=1,11 22 558.8 55.88 0.438 11.1 1.11 53.66 190.99 100.75 150 5L, 5LX 71645.58 2564.27 19.37 Ø22-ESP=1,19 22 558.8 55.88 0.469 11.9 1.19 53.50 204.46 107.79 160 5LX 76477.94 2737.22 19.34 Ø22-SCH30 22 558.8 55.88 0.500 12.7 1.27 53.34 217.88 114.81 171 5L, 5LX XS 30 81267.14 2908.63 19.31 Ø22-ESP=1,59 22 558.8 55.88 0.625 15.9 1.59 52.70 271.19 142.68 212 99997.44 3579.01 19.20 Ø22-SCH60 22 558.8 55.88 0.875 22.2 2.22 51.44 374.24 197.42 294 60 134929.71 4829.27 18.99 Ø22-SCH80 22 558.8 55.88 1.125 28.6 2.86 50.16 476.38 250.82 373 80 167883.08 6008.70 18.77 Ø22-SCH100 22 558.8 55.88 1.375 34.9 3.49 48.90 574.41 302.88 451 100 197949.08 7084.79 18.56 Ø22-SCH120 22 558.8 55.88 1.625 41.3 4.13 47.62 671.44 353.61 526 120 226202.97 8096.03 18.35 Ø22-SCH140 22 558.8 55.88 1.875 47.6 4.76 46.36 764.45 403.01 600 140 251877.05 9014.93 18.15 Ø22-SCH160 22 558.8 55.88 2.125 54 5.4 45.08 856.37 451.07 671 160 275900.95 9874.77 17.95 Ø24-SCH10 24 24.000 609.6 60.96 0.250 6.4 0.64 59.68 121.28 63.41 94.4 5LX 10 55166.16 1809.91 21.33 Ø24-ESP=0,71 24 609.6 60.96 0.281 7.1 0.71 59.54 134.39 71.25 106 5LX 60988.74 2000.94 21.30 Ø24-ESP=0,79 24 609.6 60.96 0.312 7.9 0.79 59.38 149.33 79.06 118 5L, 5LX 67593.02 2217.62 21.28 Ø24-ESP=0,87 24 609.6 60.96 0.344 8.7 0.87 59.22 164.24 86.85 129 5L, 5LX 74144.13 2432.55 21.25 Ø24-SCH20 24 609.6 60.96 0.375 9.5 0.95 59.06 179.10 94.62 141 5L, 5LX STD 20 80642.35 2645.75 21.22 Ø24-ESP=1,03 24 609.6 60.96 0.406 10.3 1.03 58.90 193.92 102.37 152 5LX 87087.98 2857.22 21.19 Ø24-ESP=1,11 24 609.6 60.96 0.438 11.1 1.11 58.74 208.71 110.1 164 5L, 5LX 93481.29 3066.97 21.16 Ø24-ESP=1,19 24 609.6 60.96 0.469 11.9 1.19 58.58 223.45 117.81 175 5LX 99822.57 3275.02 21.14 Ø24-ESP=1,27 24 609.6 60.96 0.500 12.7 1.27 58.42 238.15 125.49 187 5L, 5LX XS 106112.10 3481.37 21.11 Ø24-SCH30 24 609.6 60.96 0.562 14.3 1.43 58.10 267.44 140.8 210 30 118537.05 3889.01 21.05 Ø24-SCH40 24 609.6 60.96 0.688 17.5 1.75 57.46 325.52 171.17 255 40 142778.34 4684.33 20.94 Ø24-SCH60 24 609.6 60.96 0.969 24.6 2.46 56.04 452.11 238.29 355 60 193744.72 6356.45 20.70 Ø24-SCH80 24 609.6 60.96 1.219 31 3.1 54.76 563.49 296.53 441 80 236483.99 7758.66 20.49 Ø24-SCH100 24 609.6 60.96 1.531 38.9 3.89 53.18 697.44 367.45 547 100 285263.49 9359.04 20.22 Ø24-SCH120 24 609.6 60.96 1.812 46 4.6 51.76 814.48 429.5 639 120 325547.33 10680.69 19.99 Ø24-SCH140 24 609.6 60.96 2.062 52.4 5.24 50.48 917.26 483.24 719 140 359127.31 11782.39 19.79 Ø24-SCH160 24 609.6 60.96 2.344 59.5 5.95 49.06 1028.27 542.09 807 160 393507.60 12910.35 19.56 Ø26-ESP=0,64 26 26.000 660.4 66.04 0.250 6.4 0.64 64.76 131.49 68.75 102 5LX 70309.61 2129.30 23.12 Ø26-ESP=0,71 26 660.4 66.04 0.281 7.1 0.71 64.62 145.72 77.25 115 5LX 77751.27 2354.67 23.10 Ø26-SCH10 26 660.4 66.04 0.312 7.9 0.79 64.46 161.94 85.73 128 5LX 10 86197.01 2610.45 23.07 Ø26-ESP=0,87 26 660.4 66.04 0.344 8.7 0.87 64.30 178.12 94.19 140 5LX 94580.08 2864.33 23.04 Ø26-ESP=0,95 26 660.4 66.04 0.375 9.5 0.95 64.14 194.26 102.63 153 5LX STD 102900.81 3116.32 23.02 Ø26-ESP=1,03 26 660.4 66.04 0.406 10.3 1.03 63.98 210.36 111.05 165 5LX 111159.51 3366.43 22.99 Ø26-ESP=1,11 26 660.4 66.04 0.438 11.1 1.11 63.82 226.42 119.44 178 5LX 119356.47 3614.67 22.96 Ø26-ESP=1,19 26 660.4 66.04 0.469 11.9 1.19 63.66 242.44 127.82 190 5LX 127492.02 3861.05 22.93 Ø26-SCH20 26 660.4 66.04 0.500 12.7 1.27 63.50 258.42 136.17 203 5LX XS 20 135566.45 4105.59 22.90 Ø26-ESP=1,43 26 660.4 66.04 0.562 14.3 1.43 63.18 290.26 152.82 227 151533.22 4589.13 22.85 Ø28-ESP=0,64 28 28.000 711.2 71.12 0.250 6.4 0.64 69.84 141.71 74.09 110 5LX 87998.11 2474.64 24.92 Ø28-ESP=0,71 28 711.2 71.12 0.281 7.1 0.71 69.70 157.05 83.26 124 5LX 97334.19 2737.18 24.89 Ø28-SCH10 28 711.2 71.12 0.312 7.9 0.79 69.54 174.55 92.41 138 5LX 10 107935.33 3035.30 24.87 Ø28-ESP=0,87 28 711.2 71.12 0.344 8.7 0.87 69.38 192.01 101.53 151 5LX 118463.55 3331.37 24.84 Ø28-ESP=0,95 28 711.2 71.12 0.375 9.5 0.95 69.22 209.42 110.64 165 5LX STD 128919.17 3625.40 24.81 Ø28-ESP=1,03 28 711.2 71.12 0.406 10.3 1.03 69.06 226.80 119.72 178 5LX 139302.55 3917.39 24.78 Ø28-ESP=1,11 28 711.2 71.12 0.438 11.1 1.11 68.90 244.14 128.79 192 5LX 149614.01 4207.37 24.76 Ø28-ESP=1,19 28 711.2 71.12 0.469 11.9 1.19 68.74 261.43 137.83 205 5LX 159853.88 4495.33 24.73 Ø28-SCH20 28 711.2 71.12 0.500 12.7 1.27 68.58 278.69 146.85 219 5LX XS 20 170022.49 4781.28 24.70 Ø28-SCH30 28 711.2 71.12 0.625 15.9 1.59 67.94 347.31 182.73 272 30 209991.03 5905.26 24.59 LEGENDA: STD = STANDARD, XS = EXTRA FORTE, XXS = DUPLO EXTRA FORTE Digite o valor da Carga em Kg Digite o valor do vão "L" em cm Clique na célula e busque o Tubo desejado Wreq. É o módulo resistente da seção necessária para a situação. Wreq = M/Tadm Flecha da viga Digite o valor da Carga em Kg Digite o valor do vão "L" em cm Clique na célula e busque o tubo desejado Flecha da viga Wreq. É o módulo resistente da seção necessária para a situação. Wreq = M/Tadm Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado Clique na célula e busque o Tubo desejado B P L Espess. de paredes de Tubo ESPESSURA MÍNIMA DE PAREDE PARA TUBOS DE AÇO CARBNO SUBMETIDOS À PRESSÃO INTERNA P 30.0 Kg/cm² Tadm 1000 Kg/cm² Tensão admissível a tração Ø ext 114 mm ver tabela na primeira planilha tm= 2.89 mm tm= espessura mínima Vazão em Tubos VAZÃO NOS TUBOS Coeficiente (de 0,3-0,7) 0.5 Diâm. Int. Tubo 50 mm 1.9634954085 Altura do fio dágua 0.2 m Carga Hidr. Hn 1.98 VAZÃO 1.9 l/s = 0.0 m³/s = 7.0 m³/h VAZÃO NOS TUBOS Coeficiente (de 0,3-0,7) 0.5 Diâm. Int. Tubo 75 mm 4.4178646691 Altura do fio dágua 3.3 m Carga Hidr. Hn 8.04 VAZÃO 17.77 l/s = 0.0178 m³/s = 63.95 m³/h
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