viga fletida

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VIGAS FLETIDAS VIGAS FLETIDAS VIGAS FLETIDAS VIGAS FLETIDAS Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados Unidade R Reação de Apoio 250 kg R Reação de Apoio 25000 kg P Carga Concentrada 800 kg n Rotação Eixo 500 RPM M Momento Fletor 13750.00 kgcm M Momento Fletor 7500000.00 kgcm E Módulo de Elasticidade 2200000 kg/cm2 N Potência 5 Cv P Carga Concentrada 250 kg P Carga Concentrada 50000 kg L Comprimento da Viga 20.32 cm Tt Tensão Admissível Torç 600 kg/cm2 w Carga Unitária Distrib 21 kg w Carga Unitária Distribuida kg La Comp.Viga Livre 40.64 cm Mf Módulo Flexão kg.cm Q Força Cortante Q Força Cortante Lb Comp.Viga Articulada 20.32 cm Mt Módulo Torção kg.cm f Flecha cm f Flecha cm Lc Comp. Viga Artic/Engas 15.24 cm tt Tensão Trabalho 300 kg/cm2 E Módulo de Elasticidade 2100000 kg/cm2 E Módulo de Elasticidade 2100000 kg/cm2 Ld Comp. Viga Engastada 10.16 cm J Momento de Inércia cm4 J Momento de Inércia cm4 J Momento de Inércia cm4 L Comprimento da Viga 55 cm L Comprimento da Viga 600 cm W Módulo de Flexão cm3 W Módulo de Flexão cm3 f 0.11 cm ( máx. ) f 1.20 cm ( máx. ) J 0.30 cm4 (para La) Mt 716.20 kg.cm J 60.02 cm4 J 89285.71 cm4 J 0.08 cm4 (para Lb) Do 19.80 mm f cm f cm J 0.04 cm4 (para Lc) Do 0.00 mm M 13750.00 kgcm M 7500000.00 kgcm J 0.03 cm4 (para Ld) W 9.82 cm3 W 5357.14 cm3 P 0.00 cm4 (mais crítico) VIGA EM BALANÇO Grav.1 pag.3-23 Pro-Tec VIGA BI-APOIADA Grav.6 pag.3-23 Pro-Tec FLAMBAGEM pag.3-16 Pro-Tec EIXO TORÇÃO pag.3-16 Pro-Tec VIGA EM BALANÇO Grav.1 pag.3-23 Pro-Tec VIGA BI-APOIADA Grav.6 pag.3-23 Pro-Tec FLAMBAGEM pag.3-16 Pro-Tec EIXO TORÇÃO pag.3-16 Pro-Tec

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Page 1: Viga Fletida

VIGAS FLETIDAS VIGAS FLETIDAS VIGAS FLETIDAS VIGAS FLETIDAS

Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados Unidade Nomenclatura Entrada de Dados UnidadeR Reação de Apoio 250 kg R Reação de Apoio 25000 kg P Carga Concentrada 800 kg n Rotação Eixo 500 RPMM Momento Fletor 13750.00 kgcm M Momento Fletor 7500000.00 kgcm E Módulo de Elasticidade 2200000 kg/cm2 N Potência 5 CvP Carga Concentrada 250 kg P Carga Concentrada 50000 kg L Comprimento da Viga 20.32 cm Tt Tensão Admissível Torção 600 kg/cm2w Carga Unitária Distribuida 21 kg w Carga Unitária Distribuida kg La Comp.Viga Livre 40.64 cm Mf Módulo Flexão kg.cmQ Força Cortante Q Força Cortante Lb Comp.Viga Articulada 20.32 cm Mt Módulo Torção kg.cmf Flecha cm f Flecha cm Lc Comp. Viga Artic/Engast. 15.24 cm tt Tensão Trabalho 300 kg/cm2E Módulo de Elasticidade 2100000 kg/cm2 E Módulo de Elasticidade 2100000 kg/cm2 Ld Comp. Viga Engastada 10.16 cmJ Momento de Inércia cm4 J Momento de Inércia cm4 J Momento de Inércia cm4L Comprimento da Viga 55 cm L Comprimento da Viga 600 cmW Módulo de Flexão cm3 W Módulo de Flexão cm3

f 0.11 cm ( máx. ) f 1.20 cm ( máx. ) J 0.30 cm4 (para La) Mt 716.20 kg.cmJ 60.02 cm4 J 89285.71 cm4 J 0.08 cm4 (para Lb) Do 19.80 mmf cm f cm J 0.04 cm4 (para Lc) Do 0.00 mmM 13750.00 kgcm M 7500000.00 kgcm J 0.03 cm4 (para Ld)W 9.82 cm3 W 5357.14 cm3 P 0.00 cm4 (mais crítico)

VIGA EM BALANÇO Grav.1 pag.3-23 Pro-Tec VIGA BI-APOIADA Grav.6 pag.3-23 Pro-Tec FLAMBAGEM pag.3-16 Pro-Tec EIXO TORÇÃO pag.3-16 Pro-Tec

VIGA EM BALANÇO Grav.1 pag.3-23 Pro-Tec VIGA BI-APOIADA Grav.6 pag.3-23 Pro-Tec FLAMBAGEM pag.3-16 Pro-Tec EIXO TORÇÃO pag.3-16 Pro-Tec

Page 2: Viga Fletida

VIGA I - PADRÃO AMERICANODIMENSÕES EM mm PESO SECÇÃO EIXO 1-1 EIXO 2-2

h b c g e f d R r g1 o g2 lb/pé kg/m

3" x 2.3/8" 76.20

59.18 4.32

38.1 6.35 14.29 9.52 6.86 2.54 - 14 48

5.70 8.48 10.58 104.00 27.80 3.12 19.14 6.55 1.3561.24 6.38 6.50 9.57 12.13 112.30 29.50 3.02 21.22 7.05 1.3263.73 8.86 7.50 11.16 14.00 120.60 31.10 2.92 24.55 7.70 1.32

4" x 2.5/8" 101.60

67.56 4.83

38.1 7.94 15.86 12.7 7.37 2.79 51 16 70

7.70 11.46 14.26 249.60 49.20 4.15 32.05 9.50 1.5069.16 6.43 8.50 12.65 15.87 262.20 52.40 4.06 34.54 10.00 1.4771.02 8.28 9.50 14.14 17.81 278.80 54.10 3.96 37.87 10.65 1.4772.90 10.16 10.50 15.63 19.68 295.50 57.30 3.86 41.62 11.47 1.45

5" x 3" 127.00

76.20 5.33

44.4 7.94 17.46 12.7 7.87 3.3 51 18 91

10.00 14.88 18.52 503.60 78.60 5.21 49.94 13.43 1.6579.68 8.81 12.25 18.23 22.97 561.90 88.50 4.95 58.27 14.91 1.6083.41 12.55 14.75 21.95 27.68 624.30 98.30 4.75 70.75 16.39 1.60

6" x 3.3/8" 152.40

84.58 5.84

50.87.94

19.05 15.87 8.38 3.56 51 19 114

12.50 18.6 23.29 907.30 119.60 6.25 74.92 18.02 1.8387.45 8.71

9.5214.75 21.95 27.68 990.50 129.40 5.99 87.40 19.66 1.75

90.55 11.81 17.25 25.67 32.39 1082.10 142.60 5.79 95.73 21.30 1.73

8" x 4" 203.20

101.60 6.86

57.1 11.11 22.22 19.05 9.4 4.06 57 22 159

18.40 27.38 34.45 2368.20 232.70 8.28 158.10 31.13 2.13103.60 8.86 20.50 30.5 38.52 2505.50 247.40 8.08 166.50 32.77 2.08105.94 11.20 23.00 34.22 43.29 2672.00 262.20 7.85 183.10 34.41 2.06108.25 13.51 25.50 37.94 47.93 2834.30 278.60 7.70 195.60 36.05 2.03

10" x 4.5/8" 254.00

118.36 7.87

69.8 12.7 25.4 19.05 10.41 4.83 64 25 204

25.40 37.8 47.61 5081.80 399.80 10.34 287.20 49.16 2.46121.84 11.35 30.00 44.65 56.45 5556.30 437.50 9.93 316.30 52.44 2.36125.58 15.09 35.00 52.09 65.93 6068.20 478.50 9.60 353.80 57.71 2.31129.31 18.82 40.00 59.53 75.42 6576.00 517.80 9.35 391.20 60.63 2.29

12" x 5.1/4" 304.80

133.35 11.68

76.216.87

33.34 19.05 14.22 7.11 70 33 239

40.80 60.71 76.39 11192.00 734.10 12.11 574.30 86.85 2.74136.02 14.35 45.00 66.97 84.51 11824.00 775.10 11.84 616.00 90.13 2.69139.12 17.45

17.4650.00 74.41 94.00 12553.00 824.30 11.56 665.90 95.04 2.67

142.24 20.57 55.00 81.85 103.48 13289.00 871.80 11.33 720.00 101.60 2.64

18" x 6" 457.20

152.40 11.68

88.9 17.46 34.92 22.22 14.22 7.11 70 35 387

54.70 81.4 102.84 33109.00 1448.60 17.96 882.30 116.30 2.92154.61 13.89 60.00 89.29 112.90 34869.00 1525.60 17.58 928.10 119.60 2.87156.69 15.98 65.00 96.73 122.45 36530.00 1597.70 17.27 973.90 124.50 2.82158.78 18.06 70.00 104.17 132.00 38186.00 1669.80 17.02 1020.00 127.80 2.77

20" x 7" 508.00

177.80 15.24

101.6

22.22

45.45 25.4 17.78 9.14 83 44 420

81.40 121.14 153.16 61027.00 2402.00 19.96 1906.00 214.70 3.53179.15 16.59 85.00 126.5 160.00 62501.00 2461.00 19.76 1956.00 217.90 3.50181.00 18.44

23.81

90.00 133.94 169.42 64523.00 2540.00 19.51 2027.00 224.50 3.45182.88 20.32 95.00 141.38 178.97 66579.00 2622.00 19.28 2102.00 229.40 3.43184.73 22.17 100.00 148.82 188.39 68602.00 2700.00 19.07 2181.00 236.00 3.40

TAMANHO

NOMINAL

S

CM2

J

CM4

W

CM3r

CM

J

CM4

W

CM3r CM

Page 3: Viga Fletida

VIGA U - PADRÃO AMERICANODIMENSÕES EM mm

h b c g e f d X R r g1 o

3" x 1.1/2" 76.20

38.81 4.32

22.226.35

15.87 12.711.18

6.86 2.54 - 1638.05 6.3540.54 9.04 7.94 11.68

4" x 1.5/8" 101.60

40.13 4.57

25.406.35

15.87 12.7 11.68 7.11 2.79 51 1641.83 6.277.9443.69 8.13

6" x 2" 152.40

48.77 5.0828.57

7.94

19.05 15.87

13.21

7.62 3.05 51 1951.66 7.98 9.52 12.7054.79 11.10

34.927.94 13.21

57.89 14.20 9.52 13.97

8" x 2.1/4" 203.20

57.40 5.5934.92

9.52 20.64 19.05

14.73

8.13 3.3 57 21

59.51 7.70 14.2261.85 10.03

38.1014.22

64.19 12.37 14.4866.52 14.71 14.99

10" x 2.5/8" 254.00

66.04 6.1038.10

11.1122.22 19.05

16.26

8.64 3.56 64 24

69.57 9.63 15.4973.30 13.36

44.4515.75

77.04 17.09 16.5180.77 20.83 12.7 17.53

12" x 3" 304.80

74.68 7.1144.45

12.7 25.4 22.22

17.78

9.65 4.32 64 27

77.39 9.83 17.2780.52 12.95 16.0083.62 16.05

50.8017.53

86.74 19.18 18.29

15" x 3.3/8" 381.00

86.36 10.1650.8

15.8733.34 25.4

20.07

12.7 6.1 70 33

TAMANHO NOMINAL

Page 4: Viga Fletida

15" x 3.3/8" 381.00

86.92 10.72 50.815.87

33.34 25.4

20.07

12.7 6.1 70 3389.41 13.21 19.8191.90 15.70

57.1520.07

94.39 18.19 20.3296.88 20.68 17.46 20.83

Page 5: Viga Fletida

VIGA U - PADRÃO AMERICANODIMENSÕES EM mm PESO SECÇÃO EIXO 1-1 EIXO 2-2

g2 lb/pé kg/m

44

4.10 6.10 7.68 66.60 18.02 2.97 8.30 3.44 1.045.00 7.44 9.42 74.90 19.66 2.84 10.40 3.93 1.046.00 8.93 11.29 87.40 22.94 2.74 12.90 4.42 1.07

70

5.40 8.04 10.06 158.10 31.13 3.96 13.30 4.75 1.146.25 9.30 11.74 170.60 34.41 3.81 15.80 5.24 1.147.25 10.79 13.68 187.30 37.69 3.73 18.30 5.73 1.17

114

8.20 12.20 15.42 541.10 70.46 5.94 29.10 8.19 1.3710.50 15.63 19.81 628.50 81.93 5.64 36.20 9.34 1.3513.00 19.35 24.58 720.00 95.04 5.41 45.80 10.65 1.3515.50 23.07 29.29 811.60 106.51 5.26 54.10 11.96 1.35

161

11.50 17.11 21.68 1344.30 132.70 7.87 54.10 12.94 1.4713.75 20.46 25.93 1490.00 147.50 7.59 62.40 14.09 1.4216.25 24.18 30.71 1656.50 162.20 7.34 74.90 15.40 1.4218.75 27.90 35.42 1818.80 178.60 7.16 83.20 16.39 1.4521.25 31.62 40.19 1981.10 195.00 7.03 91.60 18.02 1.50

206

15.30 22.77 28.84 2784.40 219.60 9.83 95.70 19.66 1.6220.00 29.76 37.81 3267.10 257.30 9.30 116.50 21.30 1.5525.00 37.20 47.29 3774.90 296.60 8.94 141.50 24.58 1.5730.00 44.65 56.77 4286.90 337.60 8.69 166.50 27.85 1.6535.00 52.09 66.26 4794.60 376.90 8.48 191.40 31.13 1.75

251

20.70 30.81 38.90 5331.50 350.70 11.71 162.30 27.86 1.7825.00 37.20 47.22 5972.50 391.60 11.25 187.30 31.13 1.7330.00 44.65 56.71 6709.10 440.80 10.87 216.40 34.41 1.6035.00 52.09 66.19 7441.60 488.30 10.62 245.50 37.69 1.7540.00 59.53 75.68 8178.30 537.50 10.39 274.70 40.97 1.83

315

33.90 50.45 63.87 13010.00 683.30 14.27 341.30 52.44 2.02

S CM2

J CM4

W CM3

r CM

J CM4

W CM3

r CM

Page 6: Viga Fletida

315

35.00 52.09 66.00 13264.00 696.40 14.27 349.60 52.44 2.0140.00 59.53 75.48 14413.00 757.10 13.82 287.10 55.71 1.9845.00 66.97 84.97 15562.00 816.10 13.54 428.70 58.99 2.0150.00 74.41 94.45 16706.00 878.30 13.31 466.10 62.27 2.0355.00 81.85 103.93 17855.00 863.60 13.11 503.60 67.19 2.08

Page 7: Viga Fletida

CANTONEIRAS ABAS IGUAIS - PADRÃO AMERICANODIMENSÕES EM mm PESO

a c X r g g1 g2lb/pé kg/m

pol mm pol mm mm mm mm mm mm

1" 25.401/8" 3.18 7.62 0.80 1.19

3/16" 4.76 8.13 1.16 1.73

1/4" 6.35 8.63 1.49 2.22

1.1/4" 31.751/8" 3.18 8.88 1.01 1.50

3/16" 4.76 9.65 1.48 2.20

1/4" 6.35 10.16 1.92 2.86

1.1/2" 38.10

1/8" 3.18 10.66 1.23 1.833/16" 4.76 11.18 1.80 2.681/4" 5.35 11.93 2.34 3.49

5/16" 7.94 12.43 2.36 4.27

1.3/4" 44.45

1/8" 3.18 12.20 1.44 2.153/16" 4.76 12.95 2.12 3.161/4" 6.35 13.46 2.77 4.13

5/16" 7.94 13.97 3.39 5.05

2" 50.80

1/8" 3.18 13.97 1.65 2.463/16" 4.76 14.48 2.44 3.641/4" 6.35 14.99 3.19 4.75

5/16" 7.94 15.50 3.92 5.83

3/8" 9.53 16.25 4.70 7.00

2.1/2" 63.50

3/16" 4.75 17.52

35

3.07 4.571/4" 6.35 18.30 4.10 6.10

5/16" 7.94 18.80 5.00 7.44

3/8" 9.53 19.30 5.90 8.78

3" 76.20

1/4" 6.35 21.34

7.94 44

4.90 7.305/16" 7.94 22.10 6.10 9.083/8" 9.53 22.60 7.20 10.72

Page 8: Viga Fletida

3" 76.207/16" 11.11 23.10

7.94 448.30 12.35

1/2" 12.70 23.60 9.40 13.99

4" 101.60

3/8" 9.53 28.90

9.53 64

9.80 14.587/16" 11.11 29.45 11.30 16.821/2" 12.70 30.00 12.80 19.05

9/16" 14.29 30.70 14.30 21.285/8" 15.88 31.20 15.70 23.36

5" 127.00

1/2" 12.70 36.30

12.7 76 51 44

16.20 24.119/16" 14.29 37.10 18.10 26.945/8" 15.88 37.60 20.00 29.76

11/16" 17.46 38.10 21.80 32.443/4" 19.05 36.60 23.60 35.12

6" 152.40

3/8" 9.53 41.70

12.7 89 57 64

14.90 22.177/16" 11.11 42.20 17.20 25.601/2" 12.70 42.70 19.60 29.17

9/16" 14.29 43.40 21.90 32.595/8" 15.88 43.90 24.20 36.01

11/16" 17.46 44.40 26.50 39.443/4" 19.05 45.20 28.70 42.71

13/16" 20.64 45.70 31.00 46.137/8" 22.23 46.20 33.10 49.26

8" 203.20

1/2" 12.70 55.60

15.88 114 76 76

26.40 39.299/16" 14.29 56.15 29.60 44.055/8" 15.88 56.65 32.70 48.66

11/16" 17.46 57.15 35.80 53.283/4" 19.05 57.90 38.90 57.89

13/16" 20.64 58.35 42.00 62.507/8" 22.23 58.80 45.00 66.97

15/16" 23.81 59.40 48.10 71.581" 25.40 60.20 51.00 75.90

Page 9: Viga Fletida

CANTONEIRAS ABAS IGUAIS - PADRÃO AMERICANOSECÇÃO EIXO 1-1;2-2 EIXO 3-3

1.48 0.8 0.49 0.78 0.482.19 1.2 0.65 0.76 0.482.84 1.7 0.98 0.73 0.481.93 1.7 0.82 0.96 0.632.77 2.5 1.15 0.96 0.613.61 3.3 1.47 0.94 0.612.32 3.3 1.15 1.17 0.763.42 4.6 1.64 1.17 0.744.45 5.8 2.13 1.14 0.745.42 6.6 2.62 1.12 0.742.71 5.4 1.64 1.39 0.894.00 7.5 2.29 1.37 0.895.22 9.6 3.11 1.34 0.866.45 11.2 3.77 1.32 0.863.10 7.9 2.13 1.60 1.014.58 11.6 3.11 1.57 1.016.06 14.6 4.09 1.55 0.997.42 17.5 4.91 1.52 0.998.77 20.0 5.73 1.50 0.995.80 22.9 4.91 1.98 1.247.67 29.1 6.39 1.96 1.249.48 35.4 7.86 1.93 1.24

11.16 40.8 9.34 1.90 1.229.29 49.9 9.50 2.36 1.50

11.48 62.4 11.60 2.34 1.5013.61 74.9 13.60 2.31 1.48

S CM2

J CM4

W CM3

r CM r CM

Page 10: Viga Fletida

15.67 83.2 15.60 2.31 1.4817.74 91.6 18.00 2.29 1.4818.45 183.1 24.60 3.12 2.0021.35 208.1 29.50 3.12 1.9824.19 233.1 32.80 3.10 1.9826.96 253.9 36.00 3.07 1.9629.74 278.8 39.30 3.05 1.9630.64 470.3 52.40 3.91 2.4934.25 516.1 57.30 3.89 2.4937.80 566.0 63.90 3.86 2.4641.29 611.8 68.80 3.84 2.4644.77 653.4 73.70 3.81 2.4628.13 640.9 57.30 4.78 3.0232.64 736.6 67.20 4.75 3.0237.09 828.2 75.40 4.72 3.0041.48 919.7 86.60 4.70 3.0045.87 1007.1 93.40 4.67 2.9750.19 1090.4 101.60 4.65 2.9754.45 1173.6 109.80 4.65 2.9758.64 1252.7 118.00 4.62 2.9762.77 1327.6 124.50 4.60 2.9749.99 2022.6 137.60 6.37 4.0255.99 2251.5 152.40 6.35 4.0261.99 2472.1 168.80 6.32 4.0267.93 2688.5 183.50 6.30 4.0273.80 2900.8 199.90 6.27 3.9979.60 3108.9 214.60 6.25 3.9985.35 3312.8 229.40 6.22 3.9691.09 3508.4 244.10 6.20 3.9696.76 3704.0 258.90 6.20 3.96

Page 11: Viga Fletida

S 101.6 CM2

a 12.70 mmb 150.00 mmB 300.00 mmc 12.70 mmh 250.00 mm S 69.85 CM2d 85.92 mmH 262.70 mmV 176.78 mmJ 6718.587 cm4

S 69.85 CM2

Page 12: Viga Fletida

PERFIL "H" SOLDADODIMENSÕES EM mm PESO SECÇÃO Momento Inércia

H B s T A kg/m

200x200

196 199 10.0 6.5 4.55 40.91 52.120 3,802 200 200 12.0 8.0 5.60 49.71 63.334 4,702 204 201 14.0 9.0 6.30 57.87 73.725 5,612

208 201 16.0 10.0 7.00 66.12 84.240 6,566

250x125

248 124 8.0 5.0 3.50 25.09 31.970 3,442 250 125 9.0 6.0 4.20 29.14 37.125 3,984 254 126 11.0 7.0 4.90 35.27 44.934 4,947

256 126 12.0 7.0 4.90 37.25 47.454 5,357

250x175

240 174 9.0 6.0 4.20 35.63 45.393 4,811 244 175 11.0 7.0 4.90 43.17 55.000 5,980 248 176 13.0 8.0 5.60 50.86 64.790 7,201

252 177 15.0 9.0 6.30 58.64 74.703 8,472

250x250

248 249 13.0 8.0 5.60 65.79 83.818 9,824 250 250 14.0 9.0 6.30 71.88 91.567 10,764 254 251 16.0 10.0 7.00 82.03 104.500 12,530

260 253 19.0 12.0 8.40 98.65 125.674 15,406

300x150

298 149 8.0 5.5 3.85 31.38 39.986 6,156 300 150 9.0 6.5 4.55 36.23 46.158 7,092 304 151 11.0 6.5 4.55 41.12 52.391 8,507

306 151 12.0 7.5 5.25 45.92 58.507 9,448

300x200

290 199 10.0 7.0 4.90 46.87 59.716 9,121 294 200 12.0 8.0 5.60 55.62 70.854 11,080 298 201 14.0 9.0 6.30 64.51 82.185 13,110

304 202 17.0 10.0 7.00 76.67 97.680 16,140

300x300

298 299 14.0 9.0 6.30 86.09 109.679 18,648 300 300 15.0 10.0 7.00 93.38 118.396 20,273 304 301 17.0 11.0 7.70 105.53 134.433 23,312

310 303 20.0 13.0 9.10 125.35 159.690 28,222

350x175

346 174 9.0 6.0 4.20 40.62 51.753 10,844 350 175 11.0 7.0 4.90 49.00 62.420 13,374

TAMANHO NOMINAL

S CM2

Jx CM4

Page 13: Viga Fletida

350x175354 176 13.0 8.0 5.60 57.51 73.270 15,988

358 177 15.0 9.0 6.30 66.13 84.243 18,686

350x250

336 249 12.0 8.0 5.60 67.54 86.038 18,010 340 250 14.0 9.0 6.30 78.23 99.667 21,259 346 251 17.0 10.0 7.00 93.03 118.520 26,102

350 253 19.0 12.0 8.40 107.13 136.474 30,052

350x350

344 348 16.0 10.0 7.00 113.49 144.580 32,963 350 350 19.0 12.0 8.40 136.01 173.262 40,159 356 352 22.0 14.0 9.80 158.92 202.457 47,681

362 354 25.0 16.0 11.20 182.17 232.065 55,537

400x200

396 199 11.0 7.0 4.90 55.71 70.976 19,606 400 200 13.0 8.0 5.60 65.29 83.174 23,391 404 201 15.0 9.0 6.30 75.01 95.565 27,284

410 202 18.0 10.0 7.00 88.01 112.120 32,977

400x300

386 299 14.0 9.0 6.30 92.31 117.599 32,911 390 300 16.0 10.0 7.00 105.00 133.760 38,020 400 302 19.0 12.0 8.40 126.44 161.070 47,310

402 303 22.0 13.0 9.10 143.85 183.250 54,165

400x400

394 398 18.0 11.0 7.70 145.30 185.097 55,165 400 400 21.0 113.0 9.10 171.01 217.852 66,373 406 403 24.0 16.0 11.20 200.82 255.833 78,295

414 405 28.0 18.0 12.60 233.60 297.590 93,415

450x200

446 199 12.0 8.0 5.60 65.02 82.838 28,050 450 200 14.0 9.0 6.30 75.02 95.567 32,946 456 201 17.0 10.0 7.00 88.32 112.520 40,051

460 202 19.0 11.0 7.70 98.59 125.595 45,253

450x300

434 299 15.0 10.0 7.00 103.72 132.140 45,656 440 300 18.0 11.0 7.70 121.52 154.811 55,089 446 302 21.0 13.0 9.10 143.43 182.724 65,762

454 304 25.0 15.0 10.50 170.44 217.130 79,970

500x200

496 199 14.0 9.0 6.30 78.10 99.499 40,907 500 200 16.0 10.0 7.00 88.51 112.760 47,080 506 201 19.0 11.0 7.70 102.24 130.253 55,965

512 202 22.0 12.0 8.40 116.10 147.910 65,130

500x300

482 300 15.0 11.0 7.70 111.54 142.091 58,725 488 300 18.0 11.0 7.70 125.67 160.091 69,310 494 302 21.0 13.0 9.10 148.33 188.964 82,625

502 304 25.0 15.0 10.50 176.09 224.930 100,239

600x200

596 199 15.0 10.0 7.00 92.89 118.340 67,036 600 200 17.0 11.0 7.70 104.11 132.631 76,270 606 201 20.0 12.0 8.40 118.66 151.166 89,380

612 202 23.0 13.0 9.10 133.34 169.864 102,848

600x300

582 300 17.0 12.0 8.40 133.90 170.582 99,942 588 300 20.0 12.0 8.40 148.03 188.582 115,343 594 302 23.0 14.0 9.80 172.33 219.537 135,283

602 304 27.0 16.0 11.20 201.73 256.985 161,356

700x300692 300 20.0 13.0 9.10 163.33 208.072 168,972 700 300 24.0 13.0 9.10 182.17 232.072 198,037

708 302 28.0 15.0 10.50 213.04 271.390 234,806

800x300792 300 22.0 14.0 9.80 188.84 240.561 249,778 800 300 26.0 14.0 9.80 207.68 264.561 287,796

808 302 30.0 16.0 11.20 240.17 305.961 336,956

900x300890 299 23.0 15.0 10.50 210.90 268.670 341,353 900 300 28.0 16.0 11.20 241.82 308.057 408,349

Page 14: Viga Fletida

900x300912 302 34.0 18.0 12.60 285.50 363.702 497,147

Page 15: Viga Fletida

PERFIL "H" SOLDADOMomento Inércia Raio Giração Módulo Resist.

1,314.0 8.54 5.02 387.96 132.06 1,601.3 8.61 5.02 470.20 160.13 1,896.8 8.72 5.07 550.23 188.73 2,200.8 8.82 5.11 631.38 217.91 254.5 10.37 2.82 277.61 41.05 293.5 10.36 2.81 318.78 46.97 367.7 10.49 2.86 389.56 58.37 401.0 10.62 2.90 418.52 63.66 790.7 10.29 4.17 400.94 90.89 983.5 10.42 4.22 490.24 112.40 1,182.7 10.54 4.27 580.72 134.40 1,388.6 10.64 4.31 672.42 156.90 3,346.4 10.82 6.31 792.26 268.79 3,648.1 10.84 6.31 861.15 291.85 4,220.1 10.95 6.35 986.68 338.26 5,134.4 11.07 6.39 1185.13 405.88 441.5 12.40 3.32 413.17 59.27 507.1 12.39 3.31 472.82 67.62 632.1 12.74 3.47 559.71 83.72 690.0 12.70 3.43 617.57 91.39 1,314.5 12.35 4.69 629.06 132.11 1,601.7 12.50 4.75 753.79 160.17 1,897.4 12.63 4.80 879.92 188.79 2,339.0 12.85 4.89 1061.85 231.58 6,239.8 13.03 7.54 1251.56 417.37 6,753.7 13.05 7.53 1351.55 450.24 7,731.8 13.16 7.58 1533.72 513.74 9,281.8 13.29 7.62 1820.77 612.66 790.9 14.47 3.90 626.84 90.91 983.8 14.63 3.97 764.26 112.43

Jy CM4

rx CM

ry CM Wx CM3

Wy CM3

Page 16: Viga Fletida

1,183.2 14.77 4.01 903.29 134.45 1,389.2 14.89 4.06 1043.94 156.97 3,089.5 14.46 5.99 1072.05 248.15 3,648.6 14.60 6.04 1250.57 291.89 4,484.4 14.84 6.15 1508.81 357.32 5,135.6 14.83 6.13 1717.26 405.98 11,242.5 15.09 8.81 1916.50 646.12 13,584.5 15.22 8.85 2294.81 776.26 16,004.5 15.34 8.89 2678.72 909.35 18,504.2 15.46 8.92 3068.38 1045.44 1,466.1 16.62 4.51 990.24 145.34 1,735.5 16.76 4.56 1169.57 173.55 2,033.3 16.89 4.61 1350.72 202.32 2,477.2 17.14 4.70 1608.65 245.27 6,240.3 16.72 7.28 1705.23 417.41 7,204.4 16.85 7.33 1949.75 480.29 8,730.3 17.13 7.36 2365.52 578.17 10,210.6 17.19 7.46 2694.79 673.97 18,919.5 17.33 10.11 2823.10 950.73 22,410.7 17.45 10.14 3318.69 1120.53 26,202.0 17.49 10.12 3856.93 1300.35 31,033.3 17.71 10.21 4512.81 1532.51 1,578.5 18.40 4.36 1257.86 158.64 1,870.1 18.56 4.42 1464.29 187.01 2,305.8 18.86 4.52 1756.66 229.43 2,616.9 18.98 4.56 1967.52 259.09 6,687.5 18.58 7.11 2103.96 447.32 8,106.6 18.86 7.23 2504.08 540.44 9,651.8 18.97 7.26 2948.99 639.19 11,724.7 19.19 7.34 3522.94 771.36 1,842.6 20.27 4.30 1649.49 185.18 2,138.6 20.43 4.35 1883.22 213.86 2,578.8 20.72 4.44 2212.08 256.60 3,031.9 20.98 4.52 2544.17 300.19 6,757.1 20.32 6.89 2436.72 450.47 8,107.1 20.80 7.11 2840.58 540.47 9,652.6 20.91 7.14 3345.14 639.25 11,726.1 21.13 7.22 3993.61 771.45 1,976.3 23.80 4.08 2249.55 198.62 2,275.0 23.98 4.14 2942.33 227.50 2,718.0 24.31 4.24 2949.84 270.45 3,174.1 24.60 4.32 3361.07 314.26 7,660.9 24.20 6.70 3434.46 510.72 9,010.9 24.73 6.91 3923.23 600.72 10,576.5 24.82 6.94 4554.99 700.43 12,670.7 25.05 7.02 5360.68 833.60 9,016.0 28.49 6.58 4883.58 601.07 10,816.0 29.21 6.82 5858.21 721.07 12,879.3 29.41 6.88 6632.95 852.93 9,922.6 32.22 6.42 6307.54 661.51 11,722.6 32.98 6.65 7194.90 781.51 13,806.8 33.18 6.71 8340.49 914.36 10,277.9 35.64 6.18 7670.85 687.48 12,638.3 36.40 6.40 9074.44 842.55

Page 17: Viga Fletida

15,664.3 36.97 6.56 10902.35 1037.37

Page 18: Viga Fletida

BARRA DE AÇO REDONDAPESO SECÇÃO EIXO

DIÂMETROkg/m

S CM2 DIÂMETROpol mm pol

3/32" 2.38 0.03 0.04 0.00016 0.00134 0.062"

1/8" 3.17 0.06 0.08 0.00055 0.00348 0.08

3/16"4.76 0.14 0.18 0.00250 0.01050 0.12

2.1/8"5.00 0.15 0.20 0.00307 0.01227 0.12

6.00 0.22 0.28 0.00636 0.02121 0.15

2.1/4"1/4"

6.35 0.25 0.32 0.008 0.0251 0.16

7.00 0.30 0.38 0.0118 0.0337 0.17

5/16"7.94 0.39 0.49 0.0195 0.0491 0.20

2.3/8"8.00 0.39 0.50 0.0201 0.0530 0.20

9.00 0.50 0.64 0.0322 0.0716 0.222.1/2"

3/8"9.52 0.56 0.71 0.0404 0.0849 0.24

10.00 0.62 0.79 0.0491 0.0982 0.252.5/8"

7/16"11.11 0.76 0.97 0.0748 0.1347 0.28

12.00 0.89 1.13 0.1018 0.1696 0.302.3/4"

1/2"12.70 0.99 1.26 0.1277 0.2011 0.32

14.00 1.21 1.54 0.1886 0.2694 0.35

15.00 1.39 1.77 0.2485 0.3313 0.372.7/8"

5/8"15.87 1.55 1.98 0.3122 0.3932 0.39

16.00 1.58 2.01 0.3217 0.4021 0.403

18.00 2.00 2.54 0.5153 0.5726 0.45

3/4"19.05 2.24 2.84 0.6466 0.6789 0.48

3.1/8"20.00 2.46 3.14 0.7854 0.7854 0.50

22.00 2.98 3.80 1.150 1.045 0.55

7/8"22.22 3.04 3.87 1.197 0.108 0.55

3.1/4"25.00 3.85 4.91 1.917 1.534 0.62

1"

25.40 3.97 5.07 2.044 1.609 0.633.3/8"

26.00 4.17 5.31 2.243 1.726 0.6527.00 4.49 5.73 2.609 1.932 0.67

3.1/2"28.00 4.83 6.16 3.017 2.155 0.70

1.1/8"28.57 5.03 6.41 3.271 2.290 0.71

30.00 5.55 7.07 3.976 2.651 0.753.5/8"

1.1/4"31.75 6.21 7.93 4.989 3.143 0.7932.00 6.31 8.04 5.147 3.217 0.80

3.3/4"33.00 6.71 8.55 5.821 3.528 0.82

1.3/8"

34.92 7.51 9.60 7.301 4.181 0.873.7/8"35.00 7.55 9.62 7.366 4.209 0.87

36.00 7.99 10.18 8.245 4.580 0.90 4"37.00 8.44 10.75 9.200 4.973 0.92

4.1/8"38.00 8.90 11.34 10.230 5.387 0.95

1.1/2"

38.10 8.94 11.41 10.35 5.431 0.954.1/4"40.00 9.86 12.57 12.57 6.283 1.00

42.00 10.88 13.85 15.27 7.274 1.05 4.3/8"44.00 11.94 15.21 18.40 8.363 1.10

4.1/2"44.45 12.17 15.50 19.17 8.624 1.1145.00 12.48 15.90 20.13 8.946 1.12

4.5/8"46.00 13.05 16.62 21.98 9.556 1.1547.00 14.60 17.35 23.95 10.19 1.17 4.3/4"

J CM4

W CM3

r CM

Page 19: Viga Fletida

1.1/2"

48.00 14.21 18.10 26.06 10.86 1.204.7/8"50.00 15.41 19.64 30.68 12.27 1.25

Page 20: Viga Fletida

BARRA DE AÇO REDONDA BARRA DE AÇO REDONDAPESO SECÇÃO EIXO PESO

DIÂMETROkg/m

S CM2 DIÂMETROkg/m

mm pol mm50.80 15.90 20.30 32.70 12.87 1.27

5"127 99.35

52.00 16.67 21.24 35.89 13.80 1.30 130 104.20

53.98 17.95 22.83 41.69 15.45 1.35 5.1/8" 130.2 104.38

55.00 18.70 23.76 44.92 16.33 1.375.1/4"

133.4 109.53

57.15 20.12 25.60 52.38 18.33 1.43 135 112.36

58.00 20.74 26.42 55.55 19.15 1.45 5.3/8" 136.50 114.81

60.00 22.20 28.27 63.62 21.21 1.505.1/2"

139.70 120.21

60.32 22.42 28.60 65.00 21.55 1.51 140.00 120.84

62.00 23.70 30.19 72.53 23.40 1.555.5/8"

142.90 125.74

63.50 24.84 31.60 79.83 25.14 1.59 145.00 129.63

65.00 26.10 33.18 87.62 26.96 1.625.3/4"

146.10 131.39

66.68 27.38 34.90 97.07 29.11 1.67 150.00 138.72

68.00 28.51 36.32 104.9 30.87 1.706"

152.40 143.06

69.85 30.05 38.30 116.9 33.47 1.75 155.00 148.1270.00 30.21 38.48 117.9 33.67 1.75

6.1/4"158.80 155.23

72.00 31.96 40.72 131.9 36.64 1.80 160.00 157.83

73.03 32.85 41.80 139.7 38.25 1.83 165.00 167.85

75.00 34.70 44.18 155.3 41.42 1.886.1/2"

165.10 167.90

76.20 35.77 45.60 165.5 43.45 1.90 170.00 178.18

78.00 37.51 47.78 181.7 46.59 1.956.3/4"

171.50 181.08

79.40 38.81 49.50 195.1 49.16 1.99 175.00 188.8180.00 39.46 50.27 201.1 50.27 2.00

7"

177.80 194.73

82.00 41.46 52.81 221.9 54.13 2.05 180.00 199.7682.55 41.98 53.50 228.0 55.24 2.06 185.00 211.01

85.00 43.60 56.74 256.2 60.29 2.12 190.00 222.5785.70 45.27 57.70 264.8 61.81 2.14 195.00 234.44

88.00 47.74 60.82 294.4 66.90 2.20 200.00 246.6188.90 48.68 62.00 306.7 68.99 2.22 210.00 271.89

90.00 49.94 63.62 322.1 71.57 2.25 220.00 298.40

92.00 52.18 66.48 351.6 76.45 2.30 230.00 326.15

92.10 52.22 66.50 353.3 76.72 2.30 240.00 355.1395.00 55.70 70.88 399.8 84.17 2.38 250 385.3495.25 55.88 71.30 404.1 84.86 2.38 25.4 416.7898.00 59.21 75.43 452.8 92.40 2.45 270 449.4698.40 59.67 76.10 460.3 93.56 2.46

100.00 61.65 78.54 490.9 98.17 2.50101.60 63.58 81.00 523.2 103.0 2.54104.80 67.62 86.20 592.3 113.0 2.62105.00 67.97 86.59 596.7 113.6 2.62108.00 71.78 91.50 667.8 123.7 2.70110.00 74.60 95.03 718.7 130.7 2.75111.10 76.06 97.00 748.0 134.7 2.78114.30 80.47 102.60 838.1 146.6 2.86115.00 31.54 103.87 838.5 149.3 2.88117.50 85.01 108.40 935.9 159.3 2.94120.00 88.78 113.10 1018 169.6 3.00120.70 89.66 114.30 1042 172.7 3.02

J CM4

W CM3

r CM

Page 21: Viga Fletida

123.80 94.44 120.50 1153 186.3 3.10125.00 96.33 122.72 1198 191.7 3.12

Page 22: Viga Fletida

BARRA DE AÇO REDONDASECÇÃO EIXO

S CM2

126.68 1277 201.1 3.18132.73 1402 215.7 3.25133.20 1411 216.7 3.26139.70 1555 233.1 3.34143.14 1630 241.5 3.38146.40 1705 249.7 3.41153.30 1870 267.7 3.49153.94 1886 269.4 3.50160.30 2047 286.5 3.57165.13 2170 299.3 3.62167.60 2237 306.2 3.65176.72 2485 331.3 3.75182.60 2649 347.6 3.81186.69 2834 365.7 3.87198.00 3122 393.2 3.97201.06 3217 402.1 4.00213.83 3639 441.1 4.12214.00 3648 441.9 4.12226.98 4100 482.3 4.25230.80 4247 495.3 4.28240.50 4605 526.3 4.37248.50 4907 551.9 4.44254.40 5153 572.6 4.60268.80 5751 621.8 4.62283.50 6397 673.4 4.75298.60 7099 728.1 4.87314.20 7854 785.4 5.00346.40 9547 909.2 5.25380.10 11499 1045 5.50415.50 13737 1194 5.75452.40 16286 1357 6.00

490.9 19175 1534 6.25530.9 22436 1726 6.50572.4 26087 1932 6.75

J CM4

W CM3

r CM

Page 23: Viga Fletida

TRONCO DE CONEDM Diâmetro Maior 912 mmDm Diâmetro Menor 360 mmH Altura 450 mm# Espessura Chapa 6.35 mm

R Raio Maior 865.05 mmr Raio Menor 337.16 mmh Altura 893.76 mmAng. Ângulo Abertura 189.77 grausS Área 2.29 m2C Corda 1723.83 mm

Page 24: Viga Fletida

Êmbolo 200 mm Pres. Trab 6 barHaste 63.5 mm Pres. Máx. 7 bar

Área M 314.16 cm2 Força Av 2199.11 kgf/cm2

Área m 282.49 cm2 Força Rt 1977.43 kgf/cm2

Page 25: Viga Fletida

Cálculo de Força para Atuadores1 bar= 14.503 PSI1 kgf/cm2= 14.22 PSIPressão da Rede= 7 barDiâmetro do Cilindro= 2 Pol.Bar p/ kgf/cm2= 7.14 kgf/cm2

20.27 cm2

144.70 kgf

P=FA

F=p ´ A

A=p´ R2