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CALCULOS DE VIGAS, PERFIS E OUTROS
Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
Momentos e Reações em apoios MOMENTOS E REAÇÕES EM VIGAS ISOSTÁTICAS COM DIVERSAS FORMAS DE CARREGAMENTOS Revisão E 1/24/11 Colunas1 Dimensões em mm Peso Secção Eixo 1-1 Eixo 2-2 Tamanho Nominal S Jx W ρ J W ρ C A R G A C O N C E N T R A D A h b c g d kg/m cm² cm4 cm³ cm cm4 cm³ cm SOLICITAÇÃO MOMENTO MÁXIMO REAÇÕES DO APOIO FLECHA E VERIFICAÇÕES 76.20 59.18 4.32 38.10 9.52 10.58 104.00 27.80 3.12 19.14 6.55 1.35 P = 2500.0 Kg Perfil -> HP 200 x 53,0 (H) VALIDAÇÃO DE DADOS I3" x 2.⅜" x 8,48 61.24 6.38 38.10 9.52 8.48 12.13 112.30 29.50 3.02 21.22 7.05 1.32 L = 600.0 cm M = P.L RA/B = P = 1250.0 Kg F = P.L³ Jx = 4977 Material T.escoam. Kgf/cm² I3" x 2.⅜" x 9,57 63.73 8.86 38.10 9.52 9.57 14.00 120.60 31.10 2.92 24.55 7.70 1.32 4 2 48.E.J Wx = 488 Material T.escoam. Kgf/cm² SAE-1010 1300 I3" x 2.⅜" x 11,16 101.60 67.56 4.83 38.10 12.70 11.16 14.26 249.60 49.20 4.15 32.05 9.50 1.50 Fator de flecha 350 força no sentido de Y SAE-1020 1400 SAE-1020 1400 I4" x 2.⅝" x 11,46 69.16 6.43 38.10 12.70 11.46 15.87 262.20 52.40 4.06 34.54 10.00 1.47 M = 375000 Kg/cm CONFORME FLECHA MÁXIMA F = 1.08 cm Wreq.= 267.86 SAE-1030 2300 I4" x 2.⅝" x 12,65 71.02 8.28 38.10 12.70 12.65 17.81 278.80 54.10 3.96 37.87 10.65 1.47 Perfil OK Perfil OK SAE-1040 2620 I4" x 2.⅝" x 14,14 72.80 10.16 38.10 12.70 14.14 19.68 295.50 57.30 3.86 41.62 11.47 1.45 SAE-1050 3600 I4" x 2.⅝" x 15,63 127.00 76.20 5.33 44.40 12.70 15.63 18.52 503.60 78.60 5.21 49.94 13.43 1.65 I5" x 3" x 14,88 79.68 8.81 44.40 12.70 14.88 22.97 561.90 88.50 4.95 58.27 14.91 1.60 P = 500.0 Kg Perfil -> I5" x 3" x 14,88 I5" x 3" x 18,23 83.41 12.55 44.40 12.70 18.23 27.68 624.30 98.30 4.75 70.75 16.39 1.60 a = 400.0 cm M = P.a.b RA = P.b = 166.67 Kg F = P.L³ . 1 a² . b² Jx = 561.9 I5" x 3" x 21,95 152.40 84.58 5.84 50.80 15.87 21.95 23.29 907.30 119.60 6.25 74.92 18.02 1.83 b = 200.0 cm L L E.J 3 L L Wx = 88.5 I6" x 3.⅜" x 18,60 87.45 8.71 50.80 15.87 18.60 27.68 990.50 129.40 5.99 87.40 19.66 1.75 a > b Fator de flecha 350 força no sentido de Y I6" x 3.⅜" x 21,95 90.55 11.81 50.80 15.87 21.95 32.39 1,082.10 142.60 5.79 95.73 21.30 1.73 RB = P.a = 333.33 Kg F = 1.5066 cm Wreq.= 47.62 1.5 I6" x 3.⅜" x 25,67 203.20 101.60 6.86 57.10 19.05 25.67 34.45 2,368.20 232.70 8.28 158.10 31.13 2.13 M = 66666.67 Kg/cm L I8" x 4" x 27,38 103.60 8.86 57.10 19.05 27.38 38.52 2,505.50 247.40 8.08 166.50 32.77 2.08 CONFORME FLECHA MÁXIMA MOMENTO DE INERCIA EM TUBOS Perfil OK Ø Tubo (mm) # parede do tubo (mm) Perfil OK 48.3 2.65 I8" x 4" x 30,50 105.94 11.20 57.10 19.05 30.50 43.29 2,672.00 262.20 7.85 183.10 34.41 2.06 9.93 cm4 t 0.265 I8" x 4" x 34,22 108.25 13.51 57.10 19.05 34.22 47.93 2,834.30 278.60 7.70 195.60 36.05 2.03 P = 7000.0 Kg F = P.a . (3b²+8a²+12ab).1 U6" x 2" x 12,2 Jx= I8" x 4" x 37,94 254.00 118.36 7.87 69.80 19.05 37.94 47.61 5,081.80 399.80 10.34 287.20 49.16 2.46 a = 9.0 cm M = P.a E.J 24 Jx = 546 π 3.1415 I10" x 4.⅝" x 37,80 121.84 11.35 69.80 19.05 37.80 56.45 5,556.30 437.50 9.93 316.30 52.44 2.36 b = 29.0 cm RA/B = P = 7000.0 Kg Fator de flecha 350 Wx = 72 4.11 cm3 D 4.83 I10" x 4.⅝" x 44,65 125.58 15.09 69.80 19.05 44.65 65.93 6,068.20 478.50 9.60 353.80 57.71 2.31 M = 63000 Kg/cm CONFORME FLECHA MÁXIMA F = 0.0144 cm Wreq.= 45.00 Wx d 4.3 I10" x 4.⅝" x 52,09 129.31 18.82 69.80 19.05 52.09 75.42 6,576.00 517.80 9.35 391.20 60.63 2.29 Perfil OK Perfil OK I10" x 4.⅝" x 59,53 304.80 133.35 11.68 76.20 19.05 59.53 76.39 11,192.00 734.10 12.11 574.30 86.95 2.74 I12" x 5.¼" x 60,71 136.02 14.35 76.20 19.05 60.71 84.51 11,824.00 775.10 11.84 616.00 90.13 2.69 I12" x 5.¼" x 66,97 139.12 17.45 76.20 19.05 66.97 94.00 12,553.00 824.30 11.56 665.90 89.04 2.67 P = 3800.0 Kg U6" x 2" x 15,6 I12" x 5.¼" x 74,41 142.24 20.57 76.20 19.05 74.41 103.48 13,289.00 871.80 11.33 720.00 101.60 2.64 a = 30.0 cm M = P.L Jx = 632 I12" x 5.¼" x 81,85 457.20 152.40 11.68 88.90 22.22 81.85 102.84 33,109.00 1,448.60 17.96 882.30 116.30 2.92 2 Wx = 83 I18" x 6" x 81,40 154.61 13.89 88.90 22.22 81.40 112.90 34,869.00 1,525.60 17.58 928.10 119.60 2.87 RA/B = 3.P = 5700.00 Kg força no sentido de Y I18" x 6" x 89,29 156.69 15.98 88.90 22.22 89.29 122.45 36,530.00 1,597.70 17.27 973.90 124.50 2.82 M= 228000 Kg/cm 2 Wreq.= 162.86 I18" x 6" x 96,73 158.78 18.06 88.90 22.22 96.73 132.00 38,186.00 1,669.80 17.02 1,020.00 127.80 2.77 Perfil Insuficiente, tente outro I18" x 6" x 104,17 508.00 177.80 15.24 101.60 25.40 104.17 153.16 61,027.00 2,402.00 19.96 1,906.00 214.70 3.53 I20" x 7" x 121,14 179.15 16.59 101.60 25.40 121.14 160.00 62,501.00 2,461.00 19.76 1,956.00 217.90 3.50 I20" x 7" x 126,5 181.00 18.44 101.60 25.40 126.50 169.42 64,523.00 2,540.00 19.51 2,027.00 224.50 3.45 U4" x 1.½" x 8,03 I20" x 7" x 133,94 182.88 20.32 101.60 25.40 133.94 178.97 66,579.00 2,622.00 19.28 2,102.00 229.40 3.43 P = 800.0 Kg Jx = 162 I20" x 7" x 141,38 184.73 22.17 101.60 25.40 141.38 188.39 68,602.00 2,700.00 19.07 2,181.00 236.00 3.40 L = 50.0 cm Wx = 31.04 força no sentido de Y Wreq.= 28.57 M = P.L R=P = 800.0 Kg Perfil OK U3" x 1.½" x 6,11 6.11 7.78 71.00 18.10 2.97 8.70 3.44 1.04 U3" x 1.½" x 7,44 7.44 9.18 79.00 19.66 2.84 10.80 3.93 1.04 U4" x 1.½" x 8,03 8.03 10.1 162 31.04 3.97 13.7 4.75 1.14 M= 40000 Kg/cm U4" x 1.½" x 9,30 9.3 11.9 174 34.3 3.84 16.2 5.24 1.14 U6" x 2" x 12,2 12.2 15.5 546 72 5.94 29 8.2 1.36 U6" x 2" x 15,6 15.6 19.9 632 83 5.63 36 9.2 1.34 U8" x 2.¼" x 17,1 17.1 21.8 1356 133 7.89 55 12.8 1.59 P = 600.0 Kg U4" x 1.½" x 8,03 U8" x 2.¼" x 20,5 20.5 26.1 1503 148 7.6 64 14 1.56 q= 12.0 Kg/cm U10" x 2.½ x 22,8 22.8 29 2800 221 9.84 95 19 1.81 L = 50.0 cm M = (q.L²)/2 Jx = 162 J 0.311600648 U10" x 2.½ x 29,8 29.8 37.9 3290 259 9.31 117 21.6 1.76 Ra= P*L Wx = 31.04 W 0.39 U12" x 3" x 30,7 30.7 39.1 5370 352 11.7 161 28.3 2.03 Ra= 30000 Kg/cm força no sentido de Y U12" x 3" x 37,2 37.2 47.4 6010 394 11.3 186 30.9 1.98 M= 15000 Kg/cm Ma= 15000 Kg/cm Wreq.= 10.71 PERFIL C ENRIJECIDO Perfil OK 75 x 40 x 15 x 1,90 2.54 3.23 28.54 7.50 2.97 7.43 2.97 1.52 24.24% 75 x 40 x 15 x 2,28 2.99 3.81 33.00 8.80 2.94 8.52 3.40 1.50 75 x 40 x 15 x 2,66 3.43 4.37 37.20 9.90 2.92 9.50 3.78 1.48 100 x 50 x 17 x 2,28 3.87 4.93 77.20 14.50 3.96 17.21 5.33 1.87 100 x 50 x 17 x 2,66 4.45 5.67 87.80 15.40 3.94 19.36 5.99 1.85 MOMENTOS E REAÇÕES EM VIGAS ISOSTÁTICAS COM DIVERSAS FORMAS DE CARREGAMENTOS 100 x 50 x 17 x 3,04 5.02 6.39 97.80 19.05 3.91 21.35 6.59 1.83 750 750 VIGA W C A R G A D I S T R I B U Í D A FLECHA E VERIFICAÇÕES 750 W 150 x 13,0 13 16.6 635 85.8 6.18 82 16.4 2.22 M= 10000 Kg 421875000 4218750000000 W 150 x 18,0 18 23.4 939 122.8 6.34 126 24.7 2.32 q = 33.3 Kg/cm W 610 x 174,0 310283400000 W 150 x 22,5 (H) 22.5 29 1229 161.7 6.51 387 50.9 3.65 L = 300.0 cm M = q.L² F = P.L³ . 5 Jx = 147754 13.5964411889 5 384 W 150 x 24,0 24 31.5 1384 173 6.63 183 35.9 2.41 8 RA/B = q.L = 5000.00 Kg E.J 384 Wx = 4797.2 0.1770369946 0.0130208333 W 150 x 29,8 (H) 29.8 38.5 1739 221.5 6.72 556 72.6 3.8 2 Fator de flecha 250 força no sentido de Y W 150 x 37,1 (H) 37.1 47.8 2244 277 6.85 707 91.8 3.84 M= 375000 Kg/cm CONFORME FLECHA MÁXIMA F = 0.011 cm Wreq.= 267.86 W 200 x 15,0 15 19.4 1305 130.5 8.2 87 17.4 2.12 Perfil OK Perfil OK W 200 x 19,3 19.3 25.1 1686 166.1 8.19 116 22.7 2.14 W 200 x 22,5 22.5 29 2029 197 8.37 142 27.9 2.22 W 200 x 26,6 26.6 34.2 2611 252.3 8.73 330 49.6 3.1 W 200 x 31,3 31.3 40.3 3168 301.7 8.86 410 61.2 3.19 q = 200.0 Kg/cm W 530 x 92,0 W 200 x 35,9 (H) 35.9 45.7 3437 342 8.67 764 92.6 4.09 a = 80.0 cm RA = q.a(L+b) = 9600.00 Kg Jx = 55157 W 200 x 41,7 (H) 41.7 53.5 4114 401.4 8.77 901 108.5 4.1 b = 20.0 cm M = q.a²(L+b)² 2L Wx = 2069.7 W 200 x 46,1 (H) 46.1 58.6 4543 447.6 8.81 1535 151.2 5.12 8.L² força no sentido de Y W 200 x 52,0 (H) 52 66.9 5298 514.4 8.9 1784 174.9 5.16 RB = q.a² = 6400.00 Kg Wreq.= 164.57 HP 200 x 53,0 (H) 53 68.1 4977 488 8.55 1673 161.7 4.96 M= 230400 Kg/cm 2L Perfil OK W 200 x 59,0 (H) 59 76 6140 584.8 8.99 2041 199.1 5.18 W 200 x 71,0 (H) 71 91 7660 709.2 9.17 2537 246.3 5.28 W 200 x 86,0 (H) 86 110.9 9498 855.7 9.26 3139 300.4 5.32 P= 3000 Kg W 250 x 17,9 17.9 23.1 2291 182.6 9.96 91 18.1 1.99 q = 25.0 Kg/cm U4" x 1.½" x 9,30 W 250 x 22,3 22.3 28.9 2939 231.4 10.09 123 24.1 2.06 c = 25.0 cm Jx = 174 W 250 x 25,3 25.3 32.6 3473 270.2 10.31 149 29.3 2.14 L = 120.0 cm M = q.c.(L-c) Wx = 34.3 W 250 x 28,4 28.4 36.6 4046 311.2 10.51 178 34.8 2.2 2 força no sentido de Y W 250 x 32,7 32.7 42.1 4937 382.7 10.83 473 64.8 3.35 RA/B = q.c = 625.0 Kg Wreq.= 21.21 W 250 x 38,5 38.5 49.6 6057 462.4 11.05 594 80.8 3.46 W 250 x 44,8 44.8 57.6 7158 538.2 11.15 704 95.1 3.5 M= 29687.5 Kg/cm Perfil OK HP 250 x 62,0 (H) 62 79.6 8728 709.6 10.47 2995 234 6.13 W 250 x 73,0 (H) 73 92.7 11257 889.9 11.02 3880 305.5 6.47 W 250 x 80,0 (H) 80 101.9 12550 980.5 11.1 4313 338.3 6.51 P= 35000 Kg HP 250 x 85,0 (H) 85 108.5 12280 966.9 10.64 4225 325 6.24 q = 700.0 Kg/cm W 150 x 22,5 (H) W 250 x 89,0 (H) 89 113.9 14237 1095.1 11.18 4841 378.2 6.52 a = 20.0 cm Jx = 1229 W 250 x 101,0 (H) 101 128.7 16352 1238.8 11.27 5549 431.8 6.57 b = 30.0 cm M = 2q.a.c.(b-c + ac) RA = 2.q.c(L-c) = 11200.00 Kg Wx = 161.7 W 250 x 115,0 (H) 115 146.1 18920 1406.7 11.38 6405 494.6 6.62 c = 10.0 cm L L² L força no sentido de Y W 310 x 21,0 21 27.2 3776 249.2 11.77 98 19.5 1.9 Wreq.= 96.00 W 310 x 23,8 23.8 30.7 4346 285 11.89 116 22.9 1.94 RB = 2.q.c(L-b) = 5600.00 Kg W 310 x 28,3 28.3 36.5 5500 356 12.28 158 31 2.08 M= 134400 Kg/cm L Perfil OK W 310 x 32,7 32.7 42.1 6570 419.8 12.49 192 37.6 2.13 W 310 x 38,7 38.7 49.7 8581 553.6 13.14 727 88.1 3.82 W 310 x 44,5 44.5 57.2 9997 638.8 13.22 855 103 3.87 W 310 x 52,0 52 67 11909 751.4 13.33 1026 122.9 3.91 HP 310 x 79,0 (H) 79 100 16316 1091.3 12.77 5258 343.7 7.25 HP 310 x 93,0 (H) 93 119.2 19682 1299.1 12.85 6387 414.7 7.32 W 310 x 97,0 (H) 97 123.6 22284 1447 13.43 7286 477.8 7.68 W 310 x 107,0 (H) 107 136.4 24839 1597.3 13.49 8123 530.9 7.72 HP 310 x 110,0 (H) 110 141 23703 1539.1 12.97 7707 497.3 7.39 W 310 x 117,0 (H) 117 149.9 27563 1755.6 13.56 9024 587.9 7.76 HP 310 x 125,0 (H) 125 159 27076 1735.6 13.05 8823 565.6 7.45 W 360 x 32,9 32.9 42.1 8358 479 14.09 291 45.9 2.63 W 360 x 39,0 39 50.2 10331 585.3 14.35 375 58.6 2.73 W 360 x 44,0 44 57.7 12258 696.5 14.58 818 95.7 3.77 W 360 x 51,0 51 64.8 14222 801.2 14.81 968 113.3 3.87 W 360 x 57,8 57.8 72.5 16143 901.8 14.92 1113 129.4 3.92 W 360 x 64,0 64 81.7 17890 1031.1 14.8 1885 185.7 4.8 W 360 x 72,0 72 91.3 20169 1152.5 14.86 2140 209.8 4.84 W 360 x 79,0 79 101.2 22713 1283.2 14.98 2416 235.7 4.89 W 360 x 91,0 (H) 91 115.9 26755 1515.9 15.19 4483 353 6.22 W 360 x 101,0 (H) 101 129.5 30279 1696.3 14.29 5063 397.1 6.25 W 360 x 110,0 (H) 110 140.6 33155 1841.9 15.36 5570 435.2 6.29 W 360 x 122,0 (H) 122 155.3 36599 2016.5 15.35 6147 478.4 6.29 W 410 x 38,8 38.8 50.3 12777 640.5 15.94 404 57.7 2.83 W 410 x 46,1 46.1 59.2 15690 778.7 16.27 514 73.4 2.95 W 410 x 53,0 53 68.4 18734 929.7 16.55 1009 114 3.84 W 410 x 60,0 60 76.2 21707 1066.7 16.88 1205 135.4 3.98 W 410 x 67,0 67 86.3 24678 1203.8 16.91 1379 154.1 4 W 410 x 75,0 75 95.8 27616 1337.3 16.98 1559 173.2 4.03 W 410 x 85,0 85 108.6 31658 1518.4 17.07 1804 199.3 4.08 W 460 x 52,0 52 66.6 21370 949.8 17.91 634 83.5 3.09 W 460 x 60,0 60 76.2 25652 1127.6 18.35 796 104.1 3.23 W 460 x 68,0 68 87.6 29851 1300.7 18.46 941 122.2 3.28 W 460 x 74,0 74 94.9 33415 1462.4 18.77 1661 174.8 4.18 W 460 x 82,0 82 104.7 37157 1615.5 18.84 1862 195 4.22 W 460 x 89,0 89 114.1 41105 1775.6 18.98 2093 218 4.28 W 460 x 97,0 97 123.4 44658 1916.7 19.03 2283 236.6 4.3 W 460 x 106,0 106 135.1 48978 2088.6 19.04 2515 259.3 4.32 W 530 x 66,0 66 83.6 34971 1332.2 20.46 857 103.9 3.2 W 530 x 72,0 72 91.6 39969 1525.5 20.89 1615 156 4.2 W 530 x 74,0 74 95.1 40969 1548.9 20.76 1041 125.5 3.31 W 530 x 82,0 82 104.5 47569 1801.8 21.34 2028 194.1 4.41 W 530 x 85,0 85 107.7 48453 1811.3 21.21 1263 152.2 3.42 W 530 x 92,0 92 117.6 55157 2069.7 21.65 2379 227.6 4.5 W 530 x 101,0 101 130 62198 2316.5 21.87 2693 256.5 4.55 W 530 x 109,0 109 139.7 67226 2494.5 21.94 2952 279.8 4.6 W 610 x 101,0 101 130.3 77003 2554 24.31 2951 258.8 4.76 W 610 x 113,0 113 145.3 88196 2901.2 24.64 3426 300.5 4.86 W 610 x 125,0 125 160.1 99184 3241.3 24.89 3933 343.5 4.96 W 610 x 140,0 140 179.3 112619 3650.5 25.06 4515 392.6 5.02 W 610 x 155,0 155 198.1 129583 4241.7 25.58 10783 665.6 7.38 W 610 x 174,0 174 0 222.8 0 147754 4797.2 25.75 7.45 12374 761.5 7.45 TRILHOS DE TREM 0.00 0.00 TR-45 44.7 56.9 1610 206.5 90 0.00 TR-57 56.9 72.4 2730 295 114.7 0.00 TR-68 67.6 86.1 3949 391.5 136.2 0.00 CANTONEIRAS 5/8"x 5/8"x 1/8" 0.71 0.96 0.2 0.18 0.2 0.20 0.18 0.2 3/4"x3/4"x 1/8" 0.88 1.16 0.37 0.28 0.37 0.37 0.28 0.37 7/8"x7/8"x 1/8" 1.04 1.35 0.58 0.37 0.58 0.58 0.37 0.58 1"x1"x 1/8" 1.19 1.48 0.83 0.49 0.83 0.83 0.49 0.83 1"x1"x3/16" 1.73 2.19 1.24 0.65 1.24 1.24 0.65 1.24 1"x1"x1/4" 2.21 2.83 1.66 0.98 1.66 1.66 0.98 1.66 1.1/4"x1.1/4"x1/8" 1.5 1.93 1.66 0.81 1.66 1.66 0.81 1.66 1.1/4"x1.1/4"x3/16" 2.2 2.77 2.49 1.14 2.49 2.49 1.14 2.49 1.1/4"x1.1/4"x1/4" 2.86 3.61 3.32 1.47 3.32 3.32 1.47 3.32 1.1/2"x1.1/2"x1/8" 1.83 2.32 3.32 1.14 3.32 3.32 1.14 3.32 1.1/2"x1.1/2"x3/16" 2.68 3.42 4.57 1.63 4.57 4.57 1.63 4.57 1.1/2"x1.1/2"x1/4" 3.48 4.45 5.82 2.13 5.82 5.82 2.13 5.82 1.1/2"x1.1/2"x5/16" 4.26 5.42 6.65 4.53 6.65 6.65 4.53 6.65 1.3/4"x1.3/4"x1/8" 2.14 2.7 5.41 1.63 5.41 5.41 1.63 5.41 1.3/4"x1.3/4"x3/16" 3.15 3.99 7.49 2.29 7.49 7.49 2.29 7.49 1.3/4"x1.3/4"x1/4" 4.12 5.22 9.57 3.11 9.57 9.57 3.11 9.57 1.3/4"x1.3/4"x5/16" 5.05 6.45 11.23 3.77 11.23 11.23 3.77 11.23 1.3/4"x1.3/4"x3/8" 5.94 7.61 12.9 4.26 12.9 12.90 4.26 12.9 2"x2"x1/8" 2.46 3.09 7.9 2.13 7.9 7.90 2.13 7.9 2"x2"x3/16" 3.63 4.58 11.23 3.11 11.23 11.23 3.11 11.23 2"x2"x1/4" 4.76 6.06 14.56 4.09 14.56 14.56 4.09 14.56 2"x2"x5/16" 5.83 7.41 17.48 4.91 17.48 17.48 4.91 17.48 2"x2"x3/8" 6.99 8.77 19.97 5.73 19.97 19.97 5.73 19.97 2.1/2"x2.1/2"x1/4" 7,68 4.1 29,1 6,4 29,1 29,1 6,4 29,1 2.1/2"x2.1/2"x5/16" 9,48 5 35,4 7,8 35,4 35,4 7,8 35,4 2.1/2"x2.1/2"x3/8" 11.16 5.9 40,8 9,1 40,8 40,8 9,1 40,8 3"x3"x5/16" 11.48 6.1 62,4 11.6 62,4 62,4 11.6 62,4 3"x3"x3/8" 13.61 7.2 74,9 14 74,9 74,9 14 74,9 3"x3"x7/16" 15.68 8.3 83,3 15.7 83,3 83,3 15.7 83,3 3"x3"x1/2" 17.74 9.4 91,6 17.5 91,6 91,6 17.5 91,6 4"x4"x3/8" 18.45 9.8 183,1 25.1 183,1 183,1 25.1 183,1 4"x4"x7/16" 21.35 11.3 208,1 28.7 208,1 208,1 28.7 208,1 4"x4"x1/2" 24.19 12.8 233,1 32.4 233,1 233,1 32.4 233,1 4"x4"x9/16" 26.97 14.3 253,9 35.6 253,9 253,9 35.6 253,9 4"x4"x5/8" 29.74 15.7 278,9 39.4 278,9 278,9 39.4 278,9 5"x5"x1/2" 30.65 16.2 470,3 51.9 470,3 470,3 51.9 470,3 5"x5"x9/16" 34.26 18.1 516,1 57.4 516,1 516,1 57.4 516,1 5"x5"x5/8" 37.81 20 566,1 63.3 566,1 566,1 63.3 566,1 5"x5"x11/16" 41.29 21.8 611,9 68.8 611,9 611,9 68.8 611,9 5"x5"x3/4" 44.77 23.6 653,5 73.9 653,5 653,5 73.9 653,5 6"x6"x3/8" 28.13 14.9 641,0 58.1 641,0 641,0 58.1 641,0 6"x6"x7/16" 32.65 17.2 736,7 67.1 736,7 736,7 67.1 736,7 6"x6"x1/2" 37.1 19.6 828,3 75.8 828,3 828,3 75.8 828,3 6"x6"x9/16" 41.48 21.9 919,9 84.7 919,9 919,9 84.7 919,9 6"x6"x5/8" 45.87 24.2 1007.3 93.2 1007.3 1,007.30 93.2 1007.3 6"x6"x11/16" 50.19 26.5 1090.5 101.4 1090.5 1,090.50 101.4 1090.5 6"x6"x3/4" 54.45 28.7 1173.8 109.9 1173.8 1,173.80 109.9 1173.8 6"x6"x13/16" 58.65 31 1252.9 117.9 1252.9 1,252.90 117.9 1252.9 6"x6"x7/8" 62.77 33.1 1327.8 125.5 1327.8 1,327.80 125.5 1327.8 8"x8"x1/2" 50 26.4 2022.9 137.2 2022.9 2,022.90 137.2 2022.9 8"x8"x9/16" 56 29.6 2251.8 153.3 2251.8 2,251.80 153.3 2251.8 8"x8"x5/8" 62 32.7 2472.4 168.9 2472.4 2,472.40 168.9 2472.4 8"x8"x11/16" 67.94 35.8 2688.8 184.4 2688.8 2,688.80 184.4 2688.8 8"x8"x3/4" 73.81 38.9 2901.1 199.9 2901.1 2,901.10 199.9 2901.1 8"x8"x13/16" 79.61 42 3109.2 215 3109.2 3,109.20 215 3109.2 8"x8"x7/8" 85.35 45 3313.2 229.9 3313.2 3,313.20 229.9 3313.2 8"x8"x15/16" 91.1 48.1 3508.8 244.3 3508.8 3,508.80 244.3 3508.8 8"x8"x1" 96.77 51 3704.4 259.4 3704.4 3,704.40 259.4 3704.4 0.00 TUBO RETANGULAR 30x20x1,0 0.754 0.96 0.805 0.805 1.121 0.639 0.639 0.816 30x20x1,5 1.107 1.41 1.41 1.141 1.141 1.102 0.895 0.895 0.797 40x20x1,5 1.342 1.71 3.491 2.131 1.429 1.152 1.152 0.821 50x30x1,5 1.81 2.31 7.89 3.15 1.85 3.54 2.36 1.24 50x30x3,0 3.485 4.44 14.213 5.685 1.789 6.181 4.121 1.18 60x40x3,0 4.427 5.64 27.385 9.128 2.204 14.313 7.157 1.593 100x50x2,25 5.14 6.55 6.55 86.42 86.42 17.28 3.63 29.20 11.68 2.11 100x50x3,00 6.78 8.64 112.12 22.42 3.60 37.44 14.98 2.08 115x75x2,65 7.68 9.79 9.79 183.77 183.77 31.96 4.33 94.75 94.75 25.27 3.11 Digite o valor da Carga em Kg Digite o valor do vão "L" em cm Wreq. É o módulo resistente da seção necessária para a situação. Wreq = M/Tadm Flecha da viga Plan2 erfil - Dimensões Altura Espessura Área Peso Ix = Iy Wx = Wy ix = iy i máx i min Xg = Yg h (pol) h (mm) to (pol) cm² kg/m cm4 cm³ cm cm cm cm 5/8"x 5/8"x 1/8" 5/8" 5/8" 16 x 16 x 1/8" 0.96 0.71 0.2 0.18 0.45 0.56 0.3 0.51 3/4"x3/4"x 1/8" 3/4" 3/4" 19 x 19 x 1/8" 1.16 0.88 0.37 0.28 0.58 0.73 0.38 0.58 7/8"x7/8"x 1/8" 7/8" 7/8" 22 x 22 x 1/8" 1.35 1.04 0.58 0.37 0.66 0.8 0.48 0.66 1"x1"x 1/8" 1" 1" 25 x 25 x 1/8" 1.48 1.19 0.83 0.49 0.76 0.96 0.51 0.76 1"x1"x3/16" 1" 1" 25 x 25 x 3/16" 2.19 1.73 1.24 0.65 0.76 0.95 0.48 0.81 1"x1"x1/4" 1" 1" 25 x 25 x 1/4" 2.83 2.21 1.66 0.98 0.73 0.91 0.48 0.86 1.1/4"x1.1/4"x1/8" 1.1/4" 1.1/4" 32 x 32 x 1/8" 1.93 1.5 1.66 0.81 0.96 1.21 0.63 0.91 1.1/4"x1.1/4"x3/16" 1.1/4" 1.1/4" 32 x 32 x 3/16" 2.77 2.2 2.49 1.14 0.96 1.2 0.61 0.96 1.1/4"x1.1/4"x1/4" 1.1/4" 1.1/4" 32 x 32 x 1/4" 3.61 2.86 3.32 1.47 0.93 1.16 0.61 1.01 1.1/2"x1.1/2"x1/8" 1.1/2" 1.1/2" 38 x 38 x 1/8" 2.32 1.83 3.32 1.14 1.19 1.5 0.76 1.06 1.1/2"x1.1/2"x3/16" 1.1/2" 1.1/2" 38 x 38 x 3/16" 3.42 2.68 4.57 1.63 1.16 1.47 0.73 1.11 1.1/2"x1.1/2"x1/4" 1.1/2" 1.1/2" 38 x 38 x 1/4" 4.45 3.48 5.82 2.13 1.14 1.44 0.73 1.19 1.1/2"x1.1/2"x5/16" 1.1/2" 1.1/2" 38 x 38 x 5/16" 5.42 4.26 6.65 4.53 1.11 1.39 0.73 1.24 1.3/4"x1.3/4"x1/8" 1.3/4" 1.3/4" 44 x 44 x 1/8" 2.7 2.14 5.41 1.63 1.39 1.76 0.88 1.21 1.3/4"x1.3/4"x3/16" 1.3/4" 1.3/4" 44 x 44 x 3/16" 3.99 3.15 7.49 2.29 1.37 1.73 0.88 1.29 1.3/4"x1.3/4"x1/4" 1.3/4" 1.3/4" 44 x 44 x 1/4" 5.22 4.12 9.57 3.11 1.34 1.69 0.86 1.34 1.3/4"x1.3/4"x5/16" 1.3/4" 1.3/4" 44 x 44 x 5/16" 6.45 5.05 11.23 3.77 1.32 1.66 0.86 1.39 1.3/4"x1.3/4"x3/8" 1.3/4" 1.3/4" 44 x 44 x 3/8" 7.61 5.94 12.9 4.26 1.29 1.61 0.86 1.45 2"x2"x1/8" 2" 2" 51 x 51 x 1/8" 3.09 2.46 7.9 2.13 1.6 2.03 1.01 1.39 2"x2"x3/16" 2" 2" 51 x 51 x 3/16" 4.58 3.63 11.23 3.11 1.57 1.99 0.99 1.44 2"x2"x1/4" 2" 2" 51 x 51 x 1/4" 6.06 4.76 14.56 4.09 1.54 1.94 0.99 1.49 2"x2"x5/16" 2" 2" 51 x 51 x 5/16" 7.41 5.83 17.48 4.91 1.52 1.91 0.99 1.54 2"x2"x3/8" 2" 2" 51 x 51 x 3/8" 8.77 6.99 19.97 5.73 1.49 1.86 0.99 1.62 2.1/2"x2.1/2"x1/4" 2.1/2" 2.1/2" 64 x 1/4" 4.1 7,68 29,1 6,4 1.95 1.24 2.45 1.83 2.1/2"x2.1/2"x5/16" 2.1/2" 2.1/2" 64 x 5/16" 5 9,48 35,4 7,8 1.93 1.24 2.43 1.88 2.1/2"x2.1/2"x3/8" 2.1/2" 2.1/2" 64 x 3/8" 5.9 11.16 40,8 9,1 1.91 1.22 2.41 1.93 3"x3"x5/16" 3" 3" 76 x 5/16" 6.1 11.48 62,4 11.6 2.33 1.5 2.94 2.21 3"x3"x3/8" 3" 3" 76 x 3/8" 7.2 13.61 74,9 14 2.35 1.47 2.92 2.26 3"x3"x7/16" 3" 3" 76 x 7/16" 8.3 15.68 83,3 15.7 2.3 1.47 2.91 2.31 3"x3"x1/2" 3" 3" 76 x 1/2" 9.4 17.74 91,6 17.5 2.27 1.47 2.86 2.36 4"x4"x3/8" 4" 4" 102 x 3/8" 9.8 18.45 183,1 25.1 3.15 2 3.96 2.9 4"x4"x7/16" 4" 4" 102 x 7/16" 11.3 21.35 208,1 28.7 3.12 1.98 3.94 2.95 4"x4"x1/2" 4" 4" 102 x 1/2" 12.8 24.19 233,1 32.4 3.1 1.98 3.91 3 4"x4"x9/16" 4" 4" 102 x 9/16" 14.3 26.97 253,9 35.6 3.07 1.98 3.86 3.07 4"x4"x5/8" 4" 4" 102 x 5/8" 15.7 29.74 278,9 39.4 3.06 1.96 3.86 3.12 5"x5"x1/2" 5" 5" 127 x 1/2" 16.2 30.65 470,3 51.9 3.92 2.49 4.95 3.63 5"x5"x9/16" 5" 5" 127 x 9/16" 18.1 34.26 516,1 57.4 3.88 2.49 4.89 3.71 5"x5"x5/8" 5" 5" 127 x 5/8" 20 37.81 566,1 63.3 3.87 2.46 4.89 3.76 5"x5"x11/16" 5" 5" 127 x 11/16" 21.8 41.29 611,9 68.8 3.85 2.46 4.86 3.81 5"x5"x3/4" 5" 5" 127 x 3/4" 23.6 44.77 653,5 73.9 3.82 2.46 4.82 3.86 6"x6"x3/8" 6" 6" 152 x 3/8" 14.9 28.13 641,0 58.1 4.77 3.02 6.05 4.17 6"x6"x7/16" 6" 6" 152 x 7/16" 17.2 32.65 736,7 67.1 4.75 3.02 6.02 4.22 6"x6"x1/2" 6" 6" 152 x 1/2" 19.6 37.1 828,3 75.8 4.73 3 5.97 4.27 6"x6"x9/16" 6" 6" 152 x 9/16" 21.9 41.48 919,9 84.7 4.71 3 5.95 4.34 6"x6"x5/8" 6" 6" 152 x 5/8" 24.2 45.87 1007.3 93.2 4.69 2.97 5.94 4.39 6"x6"x11/16" 6" 6" 152 x 11/16" 26.5 50.19 1090.5 101.4 4.66 2.97 5.9 4.45 6"x6"x3/4" 6" 6" 152 x 3/4" 28.7 54.45 1173.8 109.9 4.64 2.97 5.84 4.52 6"x6"x13/16" 6" 6" 152 x 13/16" 31 58.65 1252.9 117.9 4.62 2.97 5.81 4.57 6"x6"x7/8" 6" 6" 152 x 7/8" 33.1 62.77 1327.8 125.5 4.6 2.97 5.8 4.62 8"x8"x1/2" 8" 8" 203 x 1/2" 26.4 50 2022.9 137.2 6.36 4.01 8.05 5.56 8"x8"x9/16" 8" 8" 203 x 9/16" 29.6 56 2251.8 153.3 6.34 4.01 8.02 5.61 8"x8"x5/8" 8" 8" 203 x 5/8" 32.7 62 2472.4 168.9 6.31 4.01 7.97 5.66 8"x8"x11/16" 8" 8" 203 x 11/16" 35.8 67.94 2688.8 184.4 6.29 4.01 7.95 5.72 8"x8"x3/4" 8" 8" 203 x 3/4" 38.9 73.81 2901.1 199.9 6.27 3.99 7.92 5.79 8"x8"x13/16" 8" 8" 203 x 13/16" 42 79.61 3109.2 215 6.25 3.99 7.89 5.84 8"x8"x7/8" 8" 8" 203 x 7/8" 45 85.35 3313.2 229.9 6.23 3.96 7.86 5.89 8"x8"x15/16" 8" 8" 203 x 15/16" 48.1 91.1 3508.8 244.3 6.21 3.96 7.84 5.94 8"x8"x1" 8" 8" 203 x 1" 51 96.77 3704.4 259.4 6.19 3.96 7.81 6.02 0 FLAMBAGEM DE HASTES DE AÇO FLAMBAGEM DE HASTES Revisão E Tamanho Nominal Dimensões em mm Peso Secção Eixo 1-1 RAIO DE GIRAÇÃO Eixo 2-2 S J W ρ J W ρ Aplicação: PD - GUINCHO h b c g d kg/m cm² cm4 cm³ cm cm4 cm³ cm I Colunas1 76.20 59.18 4.32 38.10 9.52 8.48 10.58 104.00 27.80 3.12 1.35 19.14 6.55 1.35 I I 3" x 2.⅜" x 8,48 61.24 6.38 38.10 9.52 9.57 12.13 112.30 29.50 3.02 1.32 21.22 7.05 1.32 I I 3" x 2.⅜" x 9,57 63.73 8.86 38.10 9.52 11.16 14.00 120.60 31.10 2.92 1.32 24.55 7.70 1.32 I I 3" x 2.⅜" x 11,16 101.60 67.56 4.83 38.10 12.70 11.46 14.26 249.60 49.20 4.15 1.50 32.05 9.50 1.50 I I 4" x 2.⅝" x 11,46 69.16 6.43 38.10 12.70 12.65 15.87 262.20 52.40 4.06 1.47 34.54 10.00 1.47 I I4" x 2.⅝" x 12,65 71.02 8.28 38.10 12.70 14.14 17.81 278.80 54.10 3.96 1.47 37.87 10.65 1.47 I I4" x 2.⅝" x 14,14 72.80 10.16 38.10 12.70 15.63 19.68 295.50 57.30 3.86 1.45 41.62 11.47 1.45 I I4" x 2.⅝" x 15,63 127.00 76.20 5.33 44.40 12.70 14.88 18.52 503.60 78.60 5.21 1.65 49.94 13.43 1.65 I I5" x 3" x 14,88 79.68 8.81 44.40 12.70 18.23 22.97 561.90 88.50 4.95 1.60 58.27 14.91 1.60 I I5" x 3" x 18,23 83.41 12.55 44.40 12.70 21.95 27.68 624.30 98.30 4.75 1.60 70.75 16.39 1.60 I I5" x 3" x 21,95 152.40 84.58 5.84 50.80 15.87 18.60 23.29 907.30 119.60 6.25 1.83 74.92 18.02 1.83 PERFIL W 610 x 174,0 I I6" x 3.⅜" x 18,60 87.45 8.71 50.80 15.87 21.95 27.68 990.50 129.40 5.99 1.75 87.40 19.66 1.75 Carga solicitada/trabalho C = 12000 kg I I6" x 3.⅜" x 21,95 90.55 11.81 50.80 15.87 25.67 32.39 1,082.10 142.60 5.79 1.73 95.73 21.30 1.73 Comprimento de flambagem L = 600 cm I I6" x 3.⅜" x 25,67 203.20 101.60 6.86 57.10 19.05 27.38 34.45 2,368.20 232.70 8.28 2.13 158.10 31.13 2.13 I I8" x 4" x 27,38 103.60 8.86 57.10 19.05 30.50 38.52 2,505.50 247.40 8.08 2.08 166.50 32.77 2.08 Tensão de Escoamento = 1300 Kg/cm² I I8" x 4" x 30,50 105.94 11.20 57.10 19.05 34.22 43.29 2,672.00 262.20 7.85 2.06 183.10 34.41 2.06 Tensão de Ruptura = 3200 Kg/cm² I8" x 4" x 34,22 108.25 13.51 57.10 19.05 37.94 47.93 2,834.30 278.60 7.70 2.03 195.60 36.05 2.03 Tensão Adm Compressão = 4200 Kg/cm² I8" x 4" x 37,94 254.00 118.36 7.87 69.80 19.05 37.80 47.61 5,081.80 399.80 10.34 2.46 287.20 49.16 2.46 I10" x 4.⅝" x 37,80 121.84 11.35 69.80 19.05 44.65 56.45 5,556.30 437.50 9.93 2.36 316.30 52.44 2.36 Módulo de elasticidade E = 2100000 kg/cm² I10" x 4.⅝" x 44,65 125.58 15.09 69.80 19.05 52.09 65.93 6,068.20 478.50 9.60 2.31 353.80 57.71 2.31 Momento de inércia (Jmin) J = 12374 cm4 I10" x 4.⅝" x 52,09 129.31 18.82 69.80 19.05 59.53 75.42 6,576.00 517.80 9.35 2.29 391.20 60.63 2.29 Área da seção do perfil S = 222.8 cm² I10" x 4.⅝" x 59,53 304.80 133.35 11.68 76.20 19.05 60.71 76.39 11,192.00 734.10 12.11 2.74 574.30 86.95 2.74 Raio de giração (ρ min) R = 7.45 cm I12" x 5.¼" x 60,71 136.02 14.35 76.20 19.05 66.97 84.51 11,824.00 775.10 11.84 2.69 616.00 90.13 2.69 Fator de segurança k = 3 nº I12" x 5.¼" x 66,97 139.12 17.45 76.20 19.05 74.41 94.00 12,553.00 824.30 11.56 2.67 665.90 89.04 2.67 I12" x 5.¼" x 74,41 142.24 20.57 76.20 19.05 81.85 103.48 13,289.00 871.80 11.33 2.64 720.00 101.60 2.64 JONHSON I12" x 5.¼" x 81,85 457.20 152.40 11.68 88.90 22.22 81.40 102.84 33,109.00 1,448.60 17.96 2.92 882.30 116.30 2.92 Indice de esbeltez (λ) Y = 81 un I18" x 6" x 81,40 154.61 13.89 88.90 22.22 89.29 112.90 34,869.00 1,525.60 17.58 2.87 928.10 119.60 2.87 Tensão de flambagem T = 1168 kg/cm² I18" x 6" x 89,29 156.69 15.98 88.90 22.22 96.73 122.45 36,530.00 1,597.70 17.27 2.82 973.90 124.50 2.82 Peso de flambagem Pfl = 260181 kg I18" x 6" x 96,73 158.78 18.06 88.90 22.22 104.17 132.00 38,186.00 1,669.80 17.02 2.77 1,020.00 127.80 2.77 C.de trabalho c/ Fator segurança kadm = 86727 kg I18" x 6" x 104,17 508.00 177.80 15.24 101.60 25.40 121.14 153.16 61,027.00 2,402.00 19.96 3.53 1,906.00 214.70 3.53 W 610 x 174,0 → PERFIL SUFICIENTE I20" x 7" x 121,14 179.15 16.59 101.60 25.40 126.50 160.00 62,501.00 2,461.00 19.76 3.50 1,956.00 217.90 3.50 I20" x 7" x 126,5 181.00 18.44 101.60 25.40 133.94 169.42 64,523.00 2,540.00 19.51 3.45 2,027.00 224.50 3.45 I20" x 7" x 133,94 182.88 20.32 101.60 25.40 141.38 178.97 66,579.00 2,622.00 19.28 3.43 2,102.00 229.40 3.43 I20" x 7" x 141,38 184.73 22.17 101.60 25.40 148.82 188.39 68,602.00 2,700.00 19.07 3.40 2,181.00 236.00 3.40 I20" x 7" x 148,82 9.18 79.00 19.66 2.84 1.04 10.80 3.93 1.04 U3" x 1.½" x 7,44 8.03 9.3 10.1 162 31.04 3.97 13.7 4.75 1.14 U4" x 1.½" x 8,03 9.3 11.9 174 34.3 3.84 16.2 5.24 1.14 U4" x 1.½" x 9,30 12.2 15.5 546 72 5.94 29 8.2 1.36 U6" x 2" x 12,2 15.6 19.9 632 83 5.63 36 9.2 1.34 U6" x 2" x 15,6 17.1 21.8 1356 133 7.89 55 12.8 1.59 U8" x 2.¼" x 17,1 20.5 26.1 1503 148 7.6 64 14 1.56 U8" x 2.¼" x 20,5 22.8 29 2800 221 9.84 95 19 1.81 U10" x 2.½ x 22,8 29.8 37.9 3290 259 9.31 117 21.6 1.76 U10" x 2.½ x 29,8 30.7 39.1 5370 352 11.7 161 28.3 2.03 U12" x 3" x 30,7 37.2 47.4 6010 394 11.3 186 30.9 1.98 U12" x 3" x 37,2 L 1.1/4"x1.1/4"x1/8" L 1.½"x1.½"x1/8" 1.83 2.32 3.33 1.15 1.17 1.17 3.33 1.15 1.17 L 1.½"x1.½"x3/16" 2.68 3.42 4.58 1.64 1.17 1.17 4.58 1.64 1.17 L 1.½"x1.½"x ¼" 3.48 4.45 5.83 2.13 1.15 1.15 5.83 2.13 1.15 L 1.3/4"x1.3/4"x 1/8" 2.14 2.71 5.41 1.64 1.4 1.4 5.41 1.64 1.4 L 1.3/4"x1.3/4"x 3/16" 3.15 4 7.5 2.3 1.37 1.37 7.5 2.3 1.37 L 1.3/4"x1.3/4"x 1/4" 4.12 5.22 9.57 3.13 1.35 1.35 9.57 3.13 1.35 L 1.3/4"x1.3/4"x 5/16" 5.04 6.45 11.2 3.77 1.32 1.32 11.2 3.77 1.32 L 2" x 2"x 3/16" 3.63 4.58 11.7 3.13 1.58 1.58 11.7 3.13 1.58 L 2" x 2"x 1/4" 4.74 6.06 14.6 4.1 1.55 1.55 14.6 4.1 1.55 L 2" x 2"x 5/16" 5.83 7.42 17.5 4.91 1.53 1.53 17.5 4.91 1.53 L 2" x 2"x 3/8" 6.99 8.76 20 5.73 1.5 1.5 20 5.73 1.5 L 2.½" x 2.½"x 3/16" 4.57 5.8 23 4.91 1.98 1.98 23 4.91 1.98 L 2.½" x 2.½"x 1/4" 6.1 7.67 29 6.4 1.96 1.96 29 6.4 1.96 L 2.½" x 2.½"x 5/16" 7.44 9.48 35 7.87 1.93 1.93 35 7.87 1.93 L 2.½" x 2.½"x 3/8" 7.78 11.16 41 9.35 1.91 1.91 41 9.35 1.91 L 3" x 3"x 3/16" 5.5 7 40 7.2 2.39 2.39 40 7.2 2.39 L 3" x 3"x 1/4" 7.3 9.3 50 9.5 2.36 2.36 50 9.5 2.36 L 3" x 3"x 5/16" 9.1 11.5 62 11.6 2.34 2.34 62 11.6 2.34 MOMENTO DE INERCIA EM TUBOS L 3" x 3"x 3/8" 10.7 13.6 75 13.6 2.31 2.31 75 13.6 2.31 Ø NOMINAL Ø Tubo (mm) parede do tubo (mm) L 3" x 3"x 1/2" 14 17.7 91 18 2.29 2.29 91 18 2.29 POL. mm D d e PESO S J W i Jt Wt 139.7 4.85 (mm) (mm) (mm) (Kg) (cm2) (cm4) (cm3) (cm) (cm4) (cm3) TUBOS QUADRADOS Tubo Ø1/4" 8 13.5 8.8 2.35 0.65 0.823 0.134 0.198 0.403 0.267 0.396 467.63 cm4 t 0.485 Tubo Ø3/8" 10 17.2 12.5 2.35 0.85 1.1 0.31 0.36 0.532 0.62 0.72 Jx= Tubo Ø1/2" 15 21.3 16 2.65 1.22 1.55 0.689 0.647 0.665 1.38 1.29 P 3.1415 Tubo Ø3/4" 20 26.9 21.6 2.65 1.58 2.02 1.5 1.12 0.862 3 2.23 66.95 cm3 D 13.97 Tubo Ø1" 25 33.7 27.2 3.25 2.44 3.11 3.64 2.16 1.08 7.29 4.33 Wx d 13 Tubo Ø1 1/4" 32 42.4 35.9 3.25 3.14 4 7.71 3.64 1.39 15.4 7.27 0 0 Tubo Ø1 1/2" 40 48.3 41.8 3.25 3.61 4.6 11.7 4.86 1.6 23.5 9.71 20.55 cm2 Tubo Ø2" 50 60.3 53 3.65 5.1 6.5 26.2 8.68 2.01 52.3 17.4 S= Tubo Ø2 1/2" 65 76.1 68.8 3.65 6.51 8.31 54.6 14.4 2.56 109 28.7 Tubo Ø3" 80 88.9 80.8 4.05 8.47 10.8 97.4 21.9 3 195 43.8 4.77 cm Tubo Ø4" 100 114.3 105.3 4.5 12.1 15.5 234 41 3.89 469 82 Raio giração= Tubo Ø5" 125 139.7 130 4.85 16.2 20.5 468 66.9 4.77 935 134 148 6.18 2.22 Tubo Ø6" 150 165.1 155.4 4.85 19.2 24.4 785 95 5.67 1570 190 W 150 x 13,0 13 16.6 635 85.8 6.18 2.22 82 16.4 2.22 6.34 2.32 Tubo Ø8" 200 219.1 206.5 6.3 33.2 42.1 2390 218 7.53 4770 436 W 150 x 18,0 18 23.4 939 122.8 6.34 2.32 126 24.7 2.32 6.51 3.65 W 150 x 22,5 (H) 22.5 29 1229 161.7 6.51 3.65 387 50.9 3.65 6.63 2.41 W 150 x 24,0 24 31.5 1384 173 6.63 2.41 183 35.9 2.41 6.72 3.8 W 150 x 29,8 (H) 29.8 38.5 1739 221.5 6.72 3.8 556 72.6 3.8 6.85 3.84 W 150 x 37,1 (H) 37.1 47.8 2244 277 6.85 3.84 707 91.8 3.84 8.2 2.12 W 200 x 15,0 15 19.4 1305 130.5 8.2 2.12 87 17.4 2.12 8.19 2.14 W 200 x 19,3 19.3 25.1 1686 166.1 8.19 2.14 116 22.7 2.14 8.37 2.22 W 200 x 22,5 22.5 29 2029 197 8.37 2.22 142 27.9 2.22 8.73 3.1 W 200 x 26,6 26.6 34.2 2611 252.3 8.73 3.1 330 49.6 3.1 8.86 3.19 W 200 x 31,3 31.3 40.3 3168 301.7 8.86 3.19 410 61.2 3.19 8.67 4.09 W 200 x 35,9 (H) 35.9 45.7 3437 342 8.67 4.09 764 92.6 4.09 8.77 4.1 W 200 x 41,7 (H) 41.7 53.5 4114 401.4 8.77 4.1 901 108.5 4.1 8.81 5.12 W 200 x 46,1 (H) 46.1 58.6 4543 447.6 8.81 5.12 1535 151.2 5.12 8.9 5.16 W 200 x 52,0 (H) 52 66.9 5298 514.4 8.9 5.16 1784 174.9 5.16 8.55 4.96 HP 200 x 53,0 (H) 53 68.1 4977 488 8.55 4.96 1673 161.7 4.96 8.99 5.18 W 200 x 59,0 (H) 59 76 6140 584.8 8.99 5.18 2041 199.1 5.18 9.17 5.28 W 200 x 71,0 (H) 71 91 7660 709.2 9.17 5.28 2537 246.3 5.28 9.26 5.32 W 200 x 86,0 (H) 86 110.9 9498 855.7 9.26 5.32 3139 300.4 5.32 9.96 1.99 W 250 x 17,9 17.9 23.1 2291 182.6 9.96 1.99 91 18.1 1.99 10.09 2.06 W 250 x 22,3 22.3 28.9 2939 231.4 10.09 2.06 123 24.1 2.06 10.31 2.14 W 250 x 25,3 25.3 32.6 3473 270.2 10.31 2.14 149 29.3 2.14 10.51 2.2 W 250 x 28,4 28.4 36.6 4046 311.2 10.51 2.2 178 34.8 2.2 10.83 3.35 W 250 x 32,7 32.7 42.1 4937 382.7 10.83 3.35 473 64.8 3.35 11.05 3.46 W 250 x 38,5 38.5 49.6 6057 462.4 11.05 3.46 594 80.8 3.46 11.15 3.5 W 250 x 44,8 44.8 57.6 7158 538.2 11.15 3.5 704 95.1 3.5 10.47 6.13 HP 250 x 62,0 (H) 62 79.6 8728 709.6 10.47 6.13 2995 234 6.13 11.02 6.47 W 250 x 73,0 (H) 73 92.7 11257 889.9 11.02 6.47 3880 305.5 6.47 11.1 6.51 W 250 x 80,0 (H) 80 101.9 12550 980.5 11.1 6.51 4313 338.3 6.51 10.64 6.24 HP 250 x 85,0 (H) 85 108.5 12280 966.9 10.64 6.24 4225 325 6.24 11.18 6.52 W 250 x 89,0 (H) 89 113.9 14237 1095.1 11.18 6.52 4841 378.2 6.52 11.27 6.57 W 250 x 101,0 (H) 101 128.7 16352 1238.8 11.27 6.57 5549 431.8 6.57 11.38 6.62 W 250 x 115,0 (H) 115 146.1 18920 1406.7 11.38 6.62 6405 494.6 6.62 11.77 1.9 W 310 x 21,0 21 27.2 3776 249.2 11.77 1.9 98 19.5 1.9 11.89 1.94 W 310 x 23,8 23.8 30.7 4346 285 11.89 1.94 116 22.9 1.94 12.28 2.08 W 310 x 28,3 28.3 36.5 5500 356 12.28 2.08 158 31 2.08 12.49 2.13 W 310 x 32,7 32.7 42.1 6570 419.8 12.49 2.13 192 37.6 2.13 13.14 3.82 W 310 x 38,7 38.7 49.7 8581 553.6 13.14 3.82 727 88.1 3.82 13.22 3.87 W 310 x 44,5 44.5 57.2 9997 638.8 13.22 3.87 855 103 3.87 13.33 3.91 W 310 x 52,0 52 67 11909 751.4 13.33 3.91 1026 122.9 3.91 12.77 7.25 HP 310 x 79,0 (H) 79 100 16316 1091.3 12.77 7.25 5258 343.7 7.25 12.85 7.32 HP 310 x 93,0 (H) 93 119.2 19682 1299.1 12.85 7.32 6387 414.7 7.32 13.43 7.68 W 310 x 97,0 (H) 97 123.6 22284 1447 13.43 7.68 7286 477.8 7.68 13.49 7.72 W 310 x 107,0 (H) 107 136.4 24839 1597.3 13.49 7.72 8123 530.9 7.72 12.97 7.39 HP 310 x 110,0 (H) 110 141 23703 1539.1 12.97 7.39 7707 497.3 7.39 13.56 7.76 W 310 x 117,0 (H) 117 149.9 27563 1755.6 13.56 7.76 9024 587.9 7.76 13.05 7.45 HP 310 x 125,0 (H) 125 159 27076 1735.6 13.05 7.45 8823 565.6 7.45 14.09 2.63 W 360 x 32,9 32.9 42.1 8358 479 14.09 2.63 291 45.9 2.63 14.35 2.73 W 360 x 39,0 39 50.2 10331 585.3 14.35 2.73 375 58.6 2.73 14.58 3.77 W 360 x 44,0 44 57.7 12258 696.5 14.58 3.77 818 95.7 3.77 14.81 3.87 W 360 x 51,0 51 64.8 14222 801.2 14.81 3.87 968 113.3 3.87 14.92 3.92 W 360 x 57,8 57.8 72.5 16143 901.8 14.92 3.92 1113 129.4 3.92 14.8 4.8 W 360 x 64,0 64 81.7 17890 1031.1 14.8 4.8 1885 185.7 4.8 14.86 4.84 W 360 x 72,0 72 91.3 20169 1152.5 14.86 4.84 2140 209.8 4.84 14.98 4.89 W 360 x 79,0 79 101.2 22713 1283.2 14.98 4.89 2416 235.7 4.89 15.19 6.22 W 360 x 91,0 (H) 91 115.9 26755 1515.9 15.19 6.22 4483 353 6.22 14.29 6.25 W 360 x 101,0 (H) 101 129.5 30279 1696.3 14.29 6.25 5063 397.1 6.25 15.36 6.29 W 360 x 110,0 (H) 110 140.6 33155 1841.9 15.36 6.29 5570 435.2 6.29 15.35 6.29 W 360 x 122,0 (H) 122 155.3 36599 2016.5 15.35 6.29 6147 478.4 6.29 15.94 2.83 W 410 x 38,8 38.8 50.3 12777 640.5 15.94 2.83 404 57.7 2.83 16.27 2.95 W 410 x 46,1 46.1 59.2 15690 778.7 16.27 2.95 514 73.4 2.95 16.55 3.84 W 410 x 53,0 53 68.4 18734 929.7 16.55 3.84 1009 114 3.84 16.88 3.98 W 410 x 60,0 60 76.2 21707 1066.7 16.88 3.98 1205 135.4 3.98 16.91 4 W 410 x 67,0 67 86.3 24678 1203.8 16.91 4 1379 154.1 4 16.98 4.03 W 410 x 75,0 75 95.8 27616 1337.3 16.98 4.03 1559 173.2 4.03 17.07 4.08 W 410 x 85,0 85 108.6 31658 1518.4 17.07 4.08 1804 199.3 4.08 17.91 3.09 W 460 x 52,0 52 66.6 21370 949.8 17.91 3.09 634 83.5 3.09 18.35 3.23 W 460 x 60,0 60 76.2 25652 1127.6 18.35 3.23 796 104.1 3.23 18.46 3.28 W 460 x 68,0 68 87.6 29851 1300.7 18.46 3.28 941 122.2 3.28 18.77 4.18 W 460 x 74,0 74 94.9 33415 1462.4 18.77 4.18 1661 174.8 4.18 18.84 4.22 W 460 x 82,0 82 104.7 37157 1615.5 18.84 4.22 1862 195 4.22 18.98 4.28 W 460 x 89,0 89 114.1 41105 1775.6 18.98 4.28 2093 218 4.28 19.03 4.3 W 460 x 97,0 97 123.4 44658 1916.7 19.03 4.3 2283 236.6 4.3 19.04 4.32 W 460 x 106,0 106 135.1 48978 2088.6 19.04 4.32 2515 259.3 4.32 20.46 3.2 W 530 x 66,0 66 83.6 34971 1332.2 20.46 3.2 857 103.9 3.2 20.89 4.2 W 530 x 72,0 72 91.6 39969 1525.5 20.89 4.2 1615 156 4.2 20.76 3.31 W 530 x 74,0 74 95.1 40969 1548.9 20.76 3.31 1041 125.5 3.31 21.34 4.41 W 530 x 82,0 82 104.5 47569 1801.8 21.34 4.41 2028 194.1 4.41 21.21 3.42 W 530 x 85,0 85 107.7 48453 1811.3 21.21 3.42 1263 152.2 3.42 21.65 4.5 W 530 x 92,0 92 117.6 55157 2069.7 21.65 4.5 2379 227.6 4.5 21.87 4.55 W 530 x 101,0 101 130 62198 2316.5 21.87 4.55 2693 256.5 4.55 21.94 4.6 W 530 x 109,0 109 139.7 67226 2494.5 21.94 4.6 2952 279.8 4.6 24.31 4.76 W 610 x 101,0 101 130.3 77003 2554 24.31 4.76 2951 258.8 4.76 24.64 4.86 W 610 x 113,0 113 145.3 88196 2901.2 24.64 4.86 3426 300.5 4.86 24.89 4.96 W 610 x 125,0 125 160.1 99184 3241.3 24.89 4.96 3933 343.5 4.96 25.06 5.02 W 610 x 140,0 140 179.3 112619 3650.5 25.06 5.02 4515 392.6 5.02 25.58 7.38 W 610 x 155,0 155 198.1 129583 4241.7 25.58 7.38 10783 665.6 7.38 25.75 7.45 W 610 x 174,0 174 222.8 147754 4797.2 25.75 7.45 12374 761.5 7.45 Flambagem em tubos FLAMBAGEM DE HASTES Tamanho Nominal Dimensões em mm Peso Secção Eixo 1-1 RAIO DE GIRAÇÃO Eixo 2-2 Revisão E S J W ρ J W ρ Aplicação: TORRE CONTRA PESO h b c g d kg/m cm² cm4 cm³ cm cm4 cm³ cm Colunas1 76.20 59.18 4.32 38.10 9.52 8.48 10.58 104.00 27.80 3.12 1.35 19.14 6.55 1.35 I 3" x 2.⅜" x 8,48 61.24 6.38 38.10 9.52 9.57 12.13 112.30 29.50 3.02 1.32 21.22 7.05 1.32 I 3" x 2.⅜" x 9,57 63.73 8.86 38.10 9.52 11.16 14.00 120.60 31.10 2.92 1.32 24.55 7.70 1.32 I 3" x 2.⅜" x 11,16 101.60 67.56 4.83 38.10 12.70 11.46 14.26 249.60 49.20 4.15 1.50 32.05 9.50 1.50 I 4" x 2.⅝" x 11,46 69.16 6.43 38.10 12.70 12.65 15.87 262.20 52.40 4.06 1.47 34.54 10.00 1.47 I4" x 2.⅝" x 12,65 71.02 8.28 38.10 12.70 14.14 17.81 278.80 54.10 3.96 1.47 37.87 10.65 1.47 I4" x 2.⅝" x 14,14 72.80 10.16 38.10 12.70 15.63 19.68 295.50 57.30 3.86 1.45 41.62 11.47 1.45 I4" x 2.⅝" x 15,63 127.00 76.20 5.33 44.40 12.70 14.88 18.52 503.60 78.60 5.21 1.65 49.94 13.43 1.65 I5" x 3" x 14,88 79.68 8.81 44.40 12.70 18.23 22.97 561.90 88.50 4.95 1.60 58.27 14.91 1.60 MOMENTO DE INERCIA EM TUBOS I5" x 3" x 18,23 83.41 12.55 44.40 12.70 21.95 27.68 624.30 98.30 4.75 1.60 70.75 16.39 1.60 Ø Tubo (mm) parede do tubo (mm) I5" x 3" x 21,95 152.40 84.58 5.84 50.80 15.87 18.60 23.29 907.30 119.60 6.25 1.83 74.92 18.02 1.83 PERFIL Ø 48,3 x 2,65 48.3 2.65 I6" x 3.⅜" x 18,60 87.45 8.71 50.80 15.87 21.95 27.68 990.50 129.40 5.99 1.75 87.40 19.66 1.75 Carga solicitada/trabalho C = 500 kg I6" x 3.⅜" x 21,95 90.55 11.81 50.80 15.87 25.67 32.39 1,082.10 142.60 5.79 1.73 95.73 21.30 1.73 Comprimento de flambagem L = 200 cm 9.93 cm4 e 0.265 I6" x 3.⅜" x 25,67 203.20 101.60 6.86 57.10 19.05 27.38 34.45 2,368.20 232.70 8.28 2.13 158.10 31.13 2.13 Jx= I8" x 4" x 27,38 103.60 8.86 57.10 19.05 30.50 38.52 2,505.50 247.40 8.08 2.08 166.50 32.77 2.08 Tensão de Escoamento = 1300 Kg/cm² P 3.1416 I8" x 4" x 30,50 105.94 11.20 57.10 19.05 34.22 43.29 2,672.00 262.20 7.85 2.06 183.10 34.41 2.06 Tensão de Ruptura = 3200 Kg/cm² 4.11 cm3 D 4.8 I8" x 4" x 34,22 108.25 13.51 57.10 19.05 37.94 47.93 2,834.30 278.60 7.70 2.03 195.60 36.05 2.03 Tensão Adm Compressão = 4200 Kg/cm² Wx d 4.3 I8" x 4" x 37,94 254.00 118.36 7.87 69.80 19.05 37.80 47.61 5,081.80 399.80 10.34 2.46 287.20 49.16 2.46 I10" x 4.⅝" x 37,80 121.84 11.35 69.80 19.05 44.65 56.45 5,556.30 437.50 9.93 2.36 316.30 52.44 2.36 Módulo de elasticidade E = 2100000 kg/cm² 3.80 cm2 I10" x 4.⅝" x 44,65 125.58 15.09 69.80 19.05 52.09 65.93 6,068.20 478.50 9.60 2.31 353.80 57.71 2.31 Momento de inércia (Jmin) J = 9.93 cm4 S= I10" x 4.⅝" x 52,09 129.31 18.82 69.80 19.05 59.53 75.42 6,576.00 517.80 9.35 2.29 391.20 60.63 2.29 Área da seção do perfil S = 3.80 cm² I10" x 4.⅝" x 59,53 304.80 133.35 11.68 76.20 19.05 60.71 76.39 11,192.00 734.10 12.11 2.74 574.30 86.95 2.74 Raio de giração (ρ min) R = 1.62 cm 1.62 cm I12" x 5.¼" x 60,71 136.02 14.35 76.20 19.05 66.97 84.51 11,824.00 775.10 11.84 2.69 616.00 90.13 2.69 Fator de segurança k = 5 nº Raio giração= I12" x 5.¼" x 66,97 139.12 17.45 76.20 19.05 74.41 94.00 12,553.00 824.30 11.56 2.67 665.90 89.04 2.67 I12" x 5.¼" x 74,41 142.24 20.57 76.20 19.05 81.85 103.48 13,289.00 871.80 11.33 2.64 720.00 101.60 2.64 EULLER I12" x 5.¼" x 81,85 457.20 152.40 11.68 88.90 22.22 81.40 102.84 33,109.00 1,448.60 17.96 2.92 882.30 116.30 2.92 Indice de esbeltez (λ) Y = 124 un I18" x 6" x 81,40 154.61 13.89 88.90 22.22 89.29 112.90 34,869.00 1,525.60 17.58 2.87 928.10 119.60 2.87 Tensão de flambagem T = 1354 kg/cm² I18" x 6" x 89,29 156.69 15.98 88.90 22.22 96.73 122.45 36,530.00 1,597.70 17.27 2.82 973.90 124.50 2.82 Peso de flambagem Pfl = 5147 kg I18" x 6" x 96,73 158.78 18.06 88.90 22.22 104.17 132.00 38,186.00 1,669.80 17.02 2.77 1,020.00 127.80 2.77 C.de trabalho c/ Fator segurança kadm = 1029 kg I18" x 6" x 104,17 508.00 177.80 15.24 101.60 25.40 121.14 153.16 61,027.00 2,402.00 19.96 3.53 1,906.00 214.70 3.53 Ø 48,3 x 2,65 → PERFIL SUFICIENTE I20" x 7" x 121,14 179.15 16.59 101.60 25.40 126.50 160.00 62,501.00 2,461.00 19.76 3.50 1,956.00 217.90 3.50 I20" x 7" x 126,5 181.00 18.44 101.60 25.40 133.94 169.42 64,523.00 2,540.00 19.51 3.45 2,027.00 224.50 3.45 I20" x 7" x 133,94 182.88 20.32 101.60 25.40 141.38 178.97 66,579.00 2,622.00 19.28 3.43 2,102.00 229.40 3.43 I20" x 7" x 141,38 184.73 22.17 101.60 25.40 148.82 188.39 68,602.00 2,700.00 19.07 3.40 2,181.00 236.00 3.40 I20" x 7" x 148,82 9.18 79.00 19.66 2.84 1.04 10.80 3.93 1.04 U3" x 1.½" x 7,44 8.03 9.3 10.1 162 31.04 3.97 13.7 4.75 1.14 U4" x 1.½" x 8,03 9.3 11.9 174 34.3 3.84 16.2 5.24 1.14 U4" x 1.½" x 9,30 12.2 15.5 546 72 5.94 29 8.2 1.36 U6" x 2" x 12,2 15.6 19.9 632 83 5.63 36 9.2 1.34 U6" x 2" x 15,6 17.1 21.8 1356 133 7.89 55 12.8 1.59 U8" x 2.¼" x 17,1 20.5 26.1 1503 148 7.6 64 14 1.56 U8" x 2.¼" x 20,5 22.8 29 2800 221 9.84 95 19 1.81 U10" x 2.½ x 22,8 29.8 37.9 3290 259 9.31 117 21.6 1.76 U10" x 2.½ x 29,8 30.7 39.1 5370 352 11.7 161 28.3 2.03 U12" x 3" x 30,7 37.2 47.4 6010 394 11.3 186 30.9 1.98 U12" x 3" x 37,2 L 1.1/4"x1.1/4"x1/8" L 1.½"x1.½"x1/8" 1.83 2.32 3.33 1.15 1.17 1.17 3.33 1.15 1.17 L 1.½"x1.½"x3/16" 2.68 3.42 4.58 1.64 1.17 1.17 4.58 1.64 1.17 L 1.½"x1.½"x ¼" 3.48 4.45 5.83 2.13 1.15 1.15 5.83 2.13 1.15 L 1.3/4"x1.3/4"x 1/8" 2.14 2.71 5.41 1.64 1.4 1.4 5.41 1.64 1.4 L 1.3/4"x1.3/4"x 3/16" 3.15 4 7.5 2.3 1.37 1.37 7.5 2.3 1.37 L 1.3/4"x1.3/4"x 1/4" 4.12 5.22 9.57 3.13 1.35 1.35 9.57 3.13 1.35 L 1.3/4"x1.3/4"x 5/16" 5.04 6.45 11.2 3.77 1.32 1.32 11.2 3.77 1.32 L 2" x 2"x 3/16" 3.63 4.58 11.7 3.13 1.58 1.58 11.7 3.13 1.58 L 2" x 2"x 1/4" 4.74 6.06 14.6 4.1 1.55 1.55 14.6 4.1 1.55 L 2" x 2"x 5/16" 5.83 7.42 17.5 4.91 1.53 1.53 17.5 4.91 1.53 L 2" x 2"x 3/8" 6.99 8.76 20 5.73 1.5 1.5 20 5.73 1.5 L 2.½" x 2.½"x 3/16" 4.57 5.8 23 4.91 1.98 1.98 23 4.91 1.98 L 2.½" x 2.½"x 1/4" 6.1 7.67 29 6.4 1.96 1.96 29 6.4 1.96 L 2.½" x 2.½"x 5/16" 7.44 9.48 35 7.87 1.93 1.93 35 7.87 1.93 L 2.½" x 2.½"x 3/8" 7.78 11.16 41 9.35 1.91 1.91 41 9.35 1.91 L 3" x 3"x 3/16" 5.5 7 40 7.2 2.39 2.39 40 7.2 2.39 L 3" x 3"x 1/4" 7.3 9.3 50 9.5 2.36 2.36 50 9.5 2.36 L 3" x 3"x 5/16" 9.1 11.5 62 11.6 2.34 2.34 62 11.6 2.34 MOMENTO DE INERCIA EM TUBOS L 3" x 3"x 3/8" 10.7 13.6 75 13.6 2.31 2.31 75 13.6 2.31 Ø NOMINAL Ø Tubo (mm) parede do tubo (mm) L 3" x 3"x 1/2" 14 17.7 91 18 2.29 2.29 91 18 2.29 POL. mm D d e PESO S J W i Jt Wt 139.7 4.85 (mm) (mm) (mm) (Kg) (cm2) (cm4) (cm3) (cm) (cm4) (cm3) Tubo Ø1/4" 8 13.5 8.8 2.35 0.65 0.823 0.134 0.198 0.403 0.267 0.396 467.63 cm4 t 0.485 Tubo Ø1/4" 0.7 0.8 0.1 0.20 0.40 0.44 0.65 Tubo Ø3/8" 10 17.2 12.5 2.35 0.85 1.1 0.31 0.36 0.532 0.62 0.72 Jx= Tubo Ø3/8" 0.9 1.1 0.3 0.36 0.53 0.63 0.85 Tubo Ø1/2" 15 21.3 16 2.65 1.22 1.55 0.689 0.647 0.665 1.38 1.29 P 3.1415 Tubo Ø1/2" 1.2 1.6 0.7 0.65 0.67 0.80 1.22 Tubo Ø3/4" 20 26.9 21.6 2.65 1.58 2.02 1.5 1.12 0.862 3 2.23 66.95 cm3 D 13.97 Tubo Ø3/4" 1.6 2.0 1.5 1.12 0.86 1.08 1.58 Tubo Ø1" 25 33.7 27.2 3.25 2.44 3.11 3.64 2.16 1.08 7.29 4.33 Wx d 13 Tubo Ø1" 2.4 3.1 3.6 2.16 1.08 1.36 2.44 Tubo Ø1 1/4" 32 42.4 35.9 3.25 3.14 4 7.71 3.64 1.39 15.4 7.27 Tubo Ø1 1/4" 3.1 4.0 7.7 3.64 1.39 1.80 3.14 0 0 Tubo Ø1 1/2" 40 48.3 41.8 3.25 3.61 4.6 11.7 4.86 1.6 23.5 9.71 20.55 cm2 Tubo Ø1 1/2" 3.6 4.6 11.7 4.86 1.60 2.09 3.61 Tubo Ø2" 50 60.3 53 3.65 5.1 6.5 26.2 8.68 2.01 52.3 17.4 S= Tubo Ø2" 5.1 6.5 26.2 8.68 2.01 2.65 5.10 Tubo Ø2 1/2" 65 76.1 68.8 3.65 6.51 8.31 54.6 14.4 2.56 109 28.7 Tubo Ø2 1/2" 6.5 8.3 54.6 14.40 2.56 3.44 6.51 Tubo Ø3" 80 88.9 80.8 4.05 8.47 10.8 97.4 21.9 3 195 43.8 4.77 cm Tubo Ø3" 8.5 10.8 97.4 21.90 3.00 4.04 8.47 Tubo Ø4" 100 114.3 105.3 4.5 12.1 15.5 234 41 3.89 469 82 Raio giração= Tubo Ø4" 12.1 15.5 234.0 41.00 3.89 5.27 12.10 Tubo Ø5" 125 139.7 130 4.85 16.2 20.5 468 66.9 4.77 935 134 Tubo Ø5" 16.2 20.5 468.0 66.90 4.77 6.50 16.20 Tubo Ø6" 19.2 24.4 785.0 95.00 5.67 7.77 19.20 Tubo Ø8" 33.2 42.1 2390.0 218.00 7.53 10.33 33.20 148 6.18 2.22 Tubo Ø6" 150 165.1 155.4 4.85 19.2 24.4 785 95 5.67 1570 190 W 150 x 13,0 13 16.6 635 85.8 6.18 2.22 82 16.4 2.22 6.34 2.32 Tubo Ø8" 200 219.1 206.5 6.3 33.2 42.1 2390 218 7.53 4770 436 W 150 x 18,0 18 23.4 939 122.8 6.34 2.32 126 24.7 2.32 6.51 3.65 W 150 x 22,5 (H) 22.5 29 1229 161.7 6.51 3.65 387 50.9 3.65 6.63 2.41 W 150 x 24,0 24 31.5 1384 173 6.63 2.41 183 35.9 2.41 6.72 3.8 W 150 x 29,8 (H) 29.8 38.5 1739 221.5 6.72 3.8 556 72.6 3.8 6.85 3.84 W 150 x 37,1 (H) 37.1 47.8 2244 277 6.85 3.84 707 91.8 3.84 8.2 2.12 W 200 x 15,0 15 19.4 1305 130.5 8.2 2.12 87 17.4 2.12 8.19 2.14 W 200 x 19,3 19.3 25.1 1686 166.1 8.19 2.14 116 22.7 2.14 8.37 2.22 W 200 x 22,5 22.5 29 2029 197 8.37 2.22 142 27.9 2.22 8.73 3.1 W 200 x 26,6 26.6 34.2 2611 252.3 8.73 3.1 330 49.6 3.1 8.86 3.19 W 200 x 31,3 31.3 40.3 3168 301.7 8.86 3.19 410 61.2 3.19 8.67 4.09 W 200 x 35,9 (H) 35.9 45.7 3437 342 8.67 4.09 764 92.6 4.09 8.77 4.1 W 200 x 41,7 (H) 41.7 53.5 4114 401.4 8.77 4.1 901 108.5 4.1 8.81 5.12 W 200 x 46,1 (H) 46.1 58.6 4543 447.6 8.81 5.12 1535 151.2 5.12 8.9 5.16 W 200 x 52,0 (H) 52 66.9 5298 514.4 8.9 5.16 1784 174.9 5.16 8.55 4.96 HP 200 x 53,0 (H) 53 68.1 4977 488 8.55 4.96 1673 161.7 4.96 8.99 5.18 W 200 x 59,0 (H) 59 76 6140 584.8 8.99 5.18 2041 199.1 5.18 9.17 5.28 W 200 x 71,0 (H) 71 91 7660 709.2 9.17 5.28 2537 246.3 5.28 9.26 5.32 W 200 x 86,0 (H) 86 110.9 9498 855.7 9.26 5.32 3139 300.4 5.32 9.96 1.99 W 250 x 17,9 17.9 23.1 2291 182.6 9.96 1.99 91 18.1 1.99 10.09 2.06 W 250 x 22,3 22.3 28.9 2939 231.4 10.09 2.06 123 24.1 2.06 10.31 2.14 W 250 x 25,3 25.3 32.6 3473 270.2 10.31 2.14 149 29.3 2.14 10.51 2.2 W 250 x 28,4 28.4 36.6 4046 311.2 10.51 2.2 178 34.8 2.2 10.83 3.35 W 250 x 32,7 32.7 42.1 4937 382.7 10.83 3.35 473 64.8 3.35 11.05 3.46 W 250 x 38,5 38.5 49.6 6057 462.4 11.05 3.46 594 80.8 3.46 11.15 3.5 W 250 x 44,8 44.8 57.6 7158 538.2 11.15 3.5 704 95.1 3.5 10.47 6.13 HP 250 x 62,0 (H) 62 79.6 8728 709.6 10.47 6.13 2995 234 6.13 11.02 6.47 W 250 x 73,0 (H) 73 92.7 11257 889.9 11.02 6.47 3880 305.5 6.47 11.1 6.51 W 250 x 80,0 (H) 80 101.9 12550 980.5 11.1 6.51 4313 338.3 6.51 10.64 6.24 HP 250 x 85,0 (H) 85 108.5 12280 966.9 10.64 6.24 4225 325 6.24 11.18 6.52 W 250 x 89,0 (H) 89 113.9 14237 1095.1 11.18 6.52 4841 378.2 6.52 11.27 6.57 W 250 x 101,0 (H) 101 128.7 16352 1238.8 11.27 6.57 5549 431.8 6.57 11.38 6.62 W 250 x 115,0 (H) 115 146.1 18920 1406.7 11.38 6.62 6405 494.6 6.62 11.77 1.9 W 310 x 21,0 21 27.2 3776 249.2 11.77 1.9 98 19.5 1.9 11.89 1.94 W 310 x 23,8 23.8 30.7 4346 285 11.89 1.94 116 22.9 1.94 12.28 2.08 W 310 x 28,3 28.3 36.5 5500 356 12.28 2.08 158 31 2.08 12.49 2.13 W 310 x 32,7 32.7 42.1 6570 419.8 12.49 2.13 192 37.6 2.13 13.14 3.82 W 310 x 38,7 38.7 49.7 8581 553.6 13.14 3.82 727 88.1 3.82 13.22 3.87 W 310 x 44,5 44.5 57.2 9997 638.8 13.22 3.87 855 103 3.87 13.33 3.91 W 310 x 52,0 52 67 11909 751.4 13.33 3.91 1026 122.9 3.91 12.77 7.25 HP 310 x 79,0 (H) 79 100 16316 1091.3 12.77 7.25 5258 343.7 7.25 12.85 7.32 HP 310 x 93,0 (H) 93 119.2 19682 1299.1 12.85 7.32 6387 414.7 7.32 13.43 7.68 W 310 x 97,0 (H) 97 123.6 22284 1447 13.43 7.68 7286 477.8 7.68 13.49 7.72 W 310 x 107,0 (H) 107 136.4 24839 1597.3 13.49 7.72 8123 530.9 7.72 12.97 7.39 HP 310 x 110,0 (H) 110 141 23703 1539.1 12.97 7.39 7707 497.3 7.39 13.56 7.76 W 310 x 117,0 (H) 117 149.9 27563 1755.6 13.56 7.76 9024 587.9 7.76 13.05 7.45 HP 310 x 125,0 (H) 125 159 27076 1735.6 13.05 7.45 8823 565.6 7.45 14.09 2.63 W 360 x 32,9 32.9 42.1 8358 479 14.09 2.63 291 45.9 2.63 14.35 2.73 W 360 x 39,0 39 50.2 10331 585.3 14.35 2.73 375 58.6 2.73 14.58 3.77 W 360 x 44,0 44 57.7 12258 696.5 14.58 3.77 818 95.7 3.77 14.81 3.87 W 360 x 51,0 51 64.8 14222 801.2 14.81 3.87 968 113.3 3.87 14.92 3.92 W 360 x 57,8 57.8 72.5 16143 901.8 14.92 3.92 1113 129.4 3.92 14.8 4.8 W 360 x 64,0 64 81.7 17890 1031.1 14.8 4.8 1885 185.7 4.8 14.86 4.84 W 360 x 72,0 72 91.3 20169 1152.5 14.86 4.84 2140 209.8 4.84 14.98 4.89 W 360 x 79,0 79 101.2 22713 1283.2 14.98 4.89 2416 235.7 4.89 15.19 6.22 W 360 x 91,0 (H) 91 115.9 26755 1515.9 15.19 6.22 4483 353 6.22 14.29 6.25 W 360 x 101,0 (H) 101 129.5 30279 1696.3 14.29 6.25 5063 397.1 6.25 15.36 6.29 W 360 x 110,0 (H) 110 140.6 33155 1841.9 15.36 6.29 5570 435.2 6.29 15.35 6.29 W 360 x 122,0 (H) 122 155.3 36599 2016.5 15.35 6.29 6147 478.4 6.29 15.94 2.83 W 410 x 38,8 38.8 50.3 12777 640.5 15.94 2.83 404 57.7 2.83 16.27 2.95 W 410 x 46,1 46.1 59.2 15690 778.7 16.27 2.95 514 73.4 2.95 16.55 3.84 W 410 x 53,0 53 68.4 18734 929.7 16.55 3.84 1009 114 3.84 16.88 3.98 W 410 x 60,0 60 76.2 21707 1066.7 16.88 3.98 1205 135.4 3.98 16.91 4 W 410 x 67,0 67 86.3 24678 1203.8 16.91 4 1379 154.1 4 16.98 4.03 W 410 x 75,0 75 95.8 27616 1337.3 16.98 4.03 1559 173.2 4.03 17.07 4.08 W 410 x 85,0 85 108.6 31658 1518.4 17.07 4.08 1804 199.3 4.08 17.91 3.09 W 460 x 52,0 52 66.6 21370 949.8 17.91 3.09 634 83.5 3.09 18.35 3.23 W 460 x 60,0 60 76.2 25652 1127.6 18.35 3.23 796 104.1 3.23 18.46 3.28 W 460 x 68,0 68 87.6 29851 1300.7 18.46 3.28 941 122.2 3.28 18.77 4.18 W 460 x 74,0 74 94.9 33415 1462.4 18.77 4.18 1661 174.8 4.18 18.84 4.22 W 460 x 82,0 82 104.7 37157 1615.5 18.84 4.22 1862 195 4.22 18.98 4.28 W 460 x 89,0 89 114.1 41105 1775.6 18.98 4.28 2093 218 4.28 19.03 4.3 W 460 x 97,0 97 123.4 44658 1916.7 19.03 4.3 2283 236.6 4.3 19.04 4.32 W 460 x 106,0 106 135.1 48978 2088.6 19.04 4.32 2515 259.3 4.32 20.46 3.2 W 530 x 66,0 66 83.6 34971 1332.2 20.46 3.2 857 103.9 3.2 20.89 4.2 W 530 x 72,0 72 91.6 39969 1525.5 20.89 4.2 1615 156 4.2 20.76 3.31 W 530 x 74,0 74 95.1 40969 1548.9 20.76 3.31 1041 125.5 3.31 21.34 4.41 W 530 x 82,0 82 104.5 47569 1801.8 21.34 4.41 2028 194.1 4.41 21.21 3.42 W 530 x 85,0 85 107.7 48453 1811.3 21.21 3.42 1263 152.2 3.42 21.65 4.5 W 530 x 92,0 92 117.6 55157 2069.7 21.65 4.5 2379 227.6 4.5 21.87 4.55 W 530 x 101,0 101 130 62198 2316.5 21.87 4.55 2693 256.5 4.55 21.94 4.6 W 530 x 109,0 109 139.7 67226 2494.5 21.94 4.6 2952 279.8 4.6 24.31 4.76 W 610 x 101,0 101 130.3 77003 2554 24.31 4.76 2951 258.8 4.76 24.64 4.86 W 610 x 113,0 113 145.3 88196 2901.2 24.64 4.86 3426 300.5 4.86 24.89 4.96 W 610 x 125,0 125 160.1 99184 3241.3 24.89 4.96 3933 343.5 4.96 25.06 5.02 W 610 x 140,0 140 179.3 112619 3650.5 25.06 5.02 4515 392.6 5.02 25.58 7.38 W 610 x 155,0 155 198.1 129583 4241.7 25.58 7.38 10783 665.6 7.38 25.75 7.45 W 610 x 174,0 174 222.8 147754 4797.2 25.75 7.45 12374 761.5 7.45 Potencia de motor CÁLCULO DE POTENCIA DE MOTOR/REDUTOR Revisão E R Peso total a elevavar / tracionar 400 kg Tensao Pot. Aprox. 0.4623966942 80 Velocidade 15 m/min 220 30.00 210 200 P= Peso em Kg 190 g= força gravidade 180 V= velocidade em m/min 170 160 150 140 130 w 4.9976126054 Pot. 0.98 Kw 120 110 Pot. 1.32 Cv 100 1.4465147453 90 80 CÁLCULO DE ROTAÇÃO DE SAIDA DO REDUTOR 70 60 50 40 Ø a ser percorrido ( eixo, tambor, "circulo qualquer") 100 mm Velocidade de giro, ou de elevação 15 m/min Rotação do motor 1750 rpm 1716.75 Relação de redução 36.7 Rotação de saída 47.75 rpm Dim. parafusos Área do parafuso Revisão E Selecione o parafuso Ø W1/2" 126.61 Tipo parafuso Área da seção Classe Resistencia Ø (mm) S(mm²) Carga max. Suportada Ø M4 12.56 5.6 300 N/mm² 4 12.56 Selecione classe do parafuso 8.8 2836.12 Ø M5 19.63 8.8 640 N/mm² 5 19.63 Ø M6 28.26 10.9 936 N/mm² 6 28.26 Carga a utilizar 500 kg Ø M8 50.24 12.9 1098 N/mm² 8 50.24 , N Ø M10 78.50 10 78.50 O parafuso ATENDE Ø M12 113.04 12 113.04 Ø W1/2" classe 8.8 Ø M16 200.96 16 200.96 Ø M20 314.00 20 314.00 Ø M22 379.94 22 379.94 Ø W1/4" 31.65 6.35 31.65 Ø W5/16" 49.49 7.94 49.49 Ø W3/8" 71.29 9.53 71.29 Ø W1/2" 126.61 12.7 126.61 Ø 5/8" 197.96 15.88 197.96 Ø 3/4" 284.88 19.05 284.88 Ø 7/8" 387.58 22.22 387.58 Ø 1" 506.45 25.4 506.45 CABOS DE AÇO DIÂMETROS MINIMOS DE CABOS DE AÇO Peso a elevavar / tracionar 650 kg S= 6376.5 N c= 0.118 Tipo de transporte Normal Tipo de cabo Cabo não rotativo Classe de resitência 1770 N/mm² Revisão E dmin= 9.42 mm Tipo de transporte Normal Perigoso Tipo de cabo Classe de resistência Cabo rotativo 1570 N/mm² Cabo não rotativo 1770 N/mm² 1960 N/mm² 2160 N/mm² 2460 N/mm² DIMENS. EIXOS DIMENSIONAMENTO DE EIXOS SIMPLES Revisão E DESCRIÇÃO DO EIXO Ø DO EIXO: 40 mm MATERIAL: SAE 1040 Laminado Tadm. Flexão 1800.0 Kg/cm2 CÁLCULOS DESCRIÇÃO VARIÁVEL DADOS Q = P = 1250.0 kg/cml Carga = P * 10,000 kg l MATERIAL Tadm. Flexão Vão livre = L 13 cm Mfmax. = Q.c . (L-c) = 7500 kg/cm ASTM A36 12.0 Vão carregado = l 8.0 cm 2 SAE 1010 Laminado 10.0 Carga distribuida = Q 1250.0 kg/cml Wfnec. = Mf = 4.2 cm3 SAE 1010 Trefilado 10.0 Afastamentos = C 1.0 cm Tadm SAE 1020 Laminado 12.0 Mod. Elasticidade= E 21000000 kg/cm2 Tflexão = Mf = 1193.7 kg/cm2 SAE 1020 Trefilado 12.0 Momento inércia = J * 12.57 cm4 Wf SAE 1030 Laminado 15.0 Mom. resistente = W * 6.28 cm3 Flexa = Q L x 5 L3 = 0.0018 cm SAE 1030 Trefilado 15.0 E J 384 SAE 1040 Laminado 18.0 SAE 1040 Trefilado 18.0 l SAE 1050 Laminado 23.0 Tflex. 1193.7 < Tadm. Flex. 1800.00 SAE 1050 Trefilado 23.0 P EIXO SUFICIENTE PARA A CARGA C C L Paraf. Helicoidal DESENVOLVIMENTO PARA FABRICAÇÃO DE PARAFUSO HELICOIDAL Revisão E S = 30 mm (Passo do Parafuso) D = 80 mm (Diâmetro Maior) d = 48 mm (Diâmetro Menor) b = 16 mm (Altura do passo) U = D² . pi² + S² = 253.112 mm (Desenvolvimento do Diâmetro maior) u = d² . pi² + S² = 153.752 mm (Desenvolvimento do Diâmetro maior) b = D - d = 16.000 mm (Altura do passo) 2 r = b . u = 24.759 mm (Raio menor para desenvolvimento) U - u R = r + b = 40.759 mm (Raio maior para desenvolvimento) PR = R . 2 . Pi = 256.095 mm (Perímetro do Raio Maior desenvolvido) Pr = r . 2 . Pi = 155.564 mm (Perímetro do Raio menor desenvolvido) Da = PR - U = 2.983 mm (Desenvolvimento da Abertura) Ang = 0.7113741651 = 4.193 º (Ângulo da abertura) C = sen Ang. R . 2 = 2.982 mm (Corda da Abertura) 2 ATRITO ATRITO DE ESCORREGAMENTO Revisão E TIPO DO ATRITO Pneus-estradas Carga = 5000 Kgf Ângulo do Piso (b) = 1 º Material inicio do movimento durante o movimento Ângulo do cambão (a) = 1 º seco lubrificado seco lubrificado µo þ µo þ µo þ µo þ SECO LUBRIF Aço-aço 0.15 8.5 0.10 5.833 0.12 6.833 0.009 0.5 inicio mov. durante mov. inicio mov. durante mov. Aço-alumínio 0 0 0 0 0.14 8 0 0 þ þ þ þ Aço-bronze 0.18 10.166 0.1 5.833 0.16 9 0.015 0.9166 0 26.5 0 0 Aço-gelo 0.027 1.5833 0 0 0.014 0.8333 0 0 Aço-metal patente 0.23 12.833 0.1 5.8333 0.22 12.5 0.015 0.9166 FORÇA NA DESCIDA (Kg) Aço-pedra 0 0 0 0 0.5 26.5 0 0 SECO LUBRIFICADO Borracha-madeira ou metal 0 0 0 0 0.6 31 0 0 início mov. durante mov. início mov. durante mov. bronze-bronze 0 0 0 0 0.2 11.33 0.15 8.5 87.28 2557.92 87.28 87.28 Bronze-ferro 0 0 0 0 0.16 9 0 0 Bronze-ferro fundido 0 0 0 0 0.21 11.833 0 0 FORÇA NA SUBIDA (Kg) Corda cânhamo-aço 0 0 0 0 0.25 14 0 0 SECO LUBRIFICADO Corda cânhamo-madeira 0.7 35 0 0 0.833 26.5 0.35 19.333 início mov. durante mov. início mov. durante mov. Couro-Ferro fundido 0.5 26.5 0 0 0.28 15.666 0.12 6.833 87.28 2602.84 87.28 87.28 Couro-madeira 0.47 25.166 0 0 0.5 16.833 0 0 Fibra-ferro fundido 0 0 0 0 0.4 21.8333 0 0 Ferro-ferro 0 0 0 0 0.44 23.833 0.3 16.666 Madeira-gelo 0 0 0 0 0.03 1.666 0 0 Pedra-tijolo 0 0 0 0 0.6 31 0 0 Pneus-estradas 0 0 0 0 0.5 26.5 0 0 Rodas-trilhos 0.18 10.166 0.1 5.833 0.16 9 0.015 0.9166 Linhas de vida LINHAS DE VIDA CABO DE AÇO AA 6x19 (CIMAF) Revisão E DADOS DO CABO Ø mm 12.7 Diâm. 1/2" Carga rup. (tf) 9.7 Alt. Queda 10 m Fator 0.395 Fator de segurança 2:1 P. Corpo 150 Kg E - Kg/mm² 10000 6x19 1 Área met. (mm²) 63.71 C.dinâm. corpo 69596.50 Newtons = 7096.89 Kgf VÃO (m) Diam. mm Carga rup.(Kg) Fator "F" E - Kg/mm² Nº clips Espaç torque N.m 5 7.5 10 12.5 15 17.5 20 22.5 25 1/8" 3.2 0.62 0.395 10,000 Deform. conform. do cabo (mm) 37.50 56.25 75.00 93.75 112.50 131.25 150.00 168.75 187.50 3/16" 4.8 1.4 0.395 10,000 2 29 10 Deform. Elástica (mm) 55.70 83.55 111.39 139.24 167.09 194.94 222.79 250.64 278.49 1/4" 6.4 2.5 0.395 10,000 2 38 20 Along. Cabo c/ carga aplic. (mm) 93.20 139.80 186.39 232.99 279.59 326.19 372.79 419.39 465.99 3/8" 9.5 5.9 0.395 10,000 2 57 41 Comprim. Cabo carregado (mm) 2546.60 3819.90 5093.20 6366.50 7639.80 8913.10 10186.39 11459.69 12732.99 7/16" 11.5 7.5 0.395 10,000 2 67 75 Flecha (mm) 484.94 727.41 969.88 1212.34 1454.81 1697.28 1939.75 2182.22 2424.69 1/2" 13 9.7 0.395 10,000 3 76 75 Carga no corpo (Q) 3181.56 2170.09 1664.36 1360.91 1158.62 1014.12 905.75 821.46 754.03 9/16" 14.5 12.2 0.395 10,000 Tensão cabo (Kg) 8453.83 5766.22 4422.41 3616.13 3078.61 2694.66 2406.71 2182.74 2003.56 5/8" 16 15.1 0.395 10,000 3 95 120 Tensão adm. (Kg) 3880.00 3880.00 3880.00 3880.00 3880.00 3880.00 3880.00 3880.00 3880.00 3/4" 19 21.6 0.395 10,000 4 114 180 Nº MÁX. DE PESSOAS 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 1.0 7/8" 22 29.2 0.395 10,000 4 133 310 Altura mín. do piso (m) 13.0 13.2 13.5 13.7 14.0 14.2 14.4 14.7 14.9 1" 26 37.9 0.395 10,000 5 152 310 1.1/8' 29 47.7 0.395 10,000 6 172 310 CLIPAGEM DO CABO 1.1/4" 32 58.5 0.395 10,000 7 191 150 Nº mín. de clips Espaçam. entre clips (mm) Torque N.m 3 76 75 OBS.: CONFORME NORMA OSHA E ASSE (American Society of Safety Engineers) Ângulo do cabo radianos 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 Ângulo do cabo graus 10.78 10.78 10.78 10.78 10.78 10.78 10.78 10.78 10.78 VOL CILINDROS VERT GRADUAÇÃO VOLUMÉTRICA EM CILINDROS HORIZONTAIS Diâm. 1.0 m 0.5 corda 0.199 0.243 0.280 0.312 0.341 0.368 0.392 0.415 0.436 0.456 0.475 0.493 0.510 0.527 0.543 0.558 0.572 0.586 0.600 0.613 0.626 0.638 0.650 0.661 0.673 0.683 0.694 0.704 0.714 0.724 0.733 0.742 0.751 0.760 0.768 0.777 0.785 0.800 0.807 0.815 0.822 0.828 0.835 0.842 0.848 0.854 0.860 0.866 0.872 0.877 0.883 0.888 0.893 0.898 0 ang 22.957 28.140 32.520 36.390 39.897 43.130 46.148 48.989 51.684 54.254 56.715 59.083 61.367 63.577 65.720 67.803 69.830 71.808 73.740 75.629 77.479 79.292 81.072 82.819 84.537 86.227 87.891 89.530 91.146 92.740 94.313 95.866 97.400 98.917 100.416 101.900 103.368 106.260 107.686 109.099 110.500 111.888 113.266 114.633 115.989 117.335 118.672 120.000 121.319 122.629 123.931 125.226 126.513 127.792 Comprim. 1.0 m des 0.200 0.246 0.284 0.318 0.348 0.376 0.403 0.428 0.451 0.473 0.495 0.516 0.536 0.555 0.574 0.592 0.609 0.627 0.644 0.660 0.676 0.692 0.707 0.723 0.738 0.752 0.767 0.781 0.795 0.809 0.823 0.837 0.850 0.863 0.876 0.889 0.902 0.927 0.940 0.952 0.964 0.976 0.988 1.000 1.012 1.024 1.036 1.047 1.059 1.070 1.082 1.093 1.104 1.115 0.000 0.000 0.000 cm litros cm litros cm litros cm litros cm litros cm litros cm litros cm litros 1.0 20.0 38.5 57.0 75.5 94.0 112.5 131.0 1.5 20.5 39.0 57.5 76.0 94.5 113.0 131.5 Revisão E 2.0 21.0 39.5 58.0 76.5 95.0 113.5 132.0 2.5 21.5 40.0 58.5 77.0 95.5 114.0 132.5 3.0 22.0 40.5 59.0 77.5 96.0 114.5 133.0 3.5 22.5 41.0 59.5 78.0 96.5 115.0 133.5 4.0 23.0 41.5 60.0 78.5 97.0 115.5 134.0 4.5 23.5 42.0 60.5 79.0 97.5 116.0 134.5 5.0 24.0 42.5 61.0 79.5 98.0 116.5 135.0 5.5 24.5 43.0 61.5 80.0 98.5 117.0 135.5 6.0 25.0 43.5 62.0 80.5 99.0 117.5 136.0 6.5 25.5 44.0 62.5 81.0 99.5 118.0 136.5 7.0 26.0 44.5 63.0 81.5 100.0 118.5 137.0 7.5 26.5 45.0 63.5 82.0 100.5 119.0 137.5 8.0 27.0 45.5 64.0 82.5 101.0 119.5 138.0 8.5 27.5 46.0 64.5 83.0 101.5 120.0 138.5 9.0 28.0 46.5 65.0 83.5 102.0 120.5 139.0 9.5 28.5 47.0 65.5 84.0 102.5 121.0 139.5 10.0 29.0 47.5 66.0 84.5 103.0 121.5 140.0 10.5 29.5 48.0 66.5 85.0 103.5 122.0 140.5 11.0 30.0 48.5 67.0 85.5 104.0 122.5 141.0 11.5 30.5 49.0 67.5 86.0 104.5 123.0 141.5 12.0 31.0 49.5 68.0 86.5 105.0 123.5 142.0 12.5 31.5 50.0 68.5 87.0 105.5 124.0 142.5 13.0 32.0 50.5 69.0 87.5 106.0 124.5 143.0 13.5 32.5 51.0 69.5 88.0 106.5 125.0 143.5 14.0 33.0 51.5 70.0 88.5 107.0 125.5 144.0 14.5 33.5 52.0 70.5 89.0 107.5 126.0 144.5 15.0 34.0 52.5 71.0 89.5 108.0 126.5 145.0 15.5 34.5 53.0 71.5 90.0 108.5 127.0 145.5 16.0 35.0 53.5 72.0 90.5 109.0 127.5 146.0 16.5 35.5 54.0 72.5 91.0 109.5 128.0 146.5 17.0 36.0 54.5 73.0 91.5 110.0 128.5 147.0 17.5 36.5 55.0 73.5 92.0 110.5 129.0 147.5 18.0 37.0 55.5 74.0 92.5 111.0 129.5 148.0 18.5 37.5 56.0 74.5 93.0 111.5 130.0 148.5
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