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  • FAU/UFRJ Dep. de Estruturas Pr-Dimensionamento de Est de Ao (Ver F)

    Prof. Alexandre Landesmann Estruturas de Ao e Madeira (FAE472) Pgina 1 de 15

    Pr-Dimensionamento de Estruturas de Ao e Madeira

    Aplicaes para Perfis Formados a Frio

    e Perfis Laminados

    AMA (FAE-472)

    Estruturas de Ao e Madeira

    Prof. Alexandre Landesmann

    Departamento de Estruturas - Faculdade de Arquitetura e Urbanismo - FAU/UFRJ

    Rio de Janeiro/RJ - Maro de 2009

  • FAU/UFRJ Dep. de Estruturas Pr-Dimensionamento de Est de Ao (Ver F)

    Prof. Alexandre Landesmann Estruturas de Ao e Madeira (FAE472) Pgina 2 de 15

    Tabela 1: VIGAS

    Resistncia de Perfis Formados a Frio (2Ue)

    sob Flexo Simples MRd [kNm] (Ao ASTM A-36; fy = 250 MPa)

    Flexo Simples

    Tipo

    espessura 1,2 1,5 2 2,25 2,65 3 1,2 1,5 2 2,25 2,65 3 1,2 1,5 2 2,25 2,65 3 3,35

    (kg/m) 1.86 2.31 3.04 3.39 3.95 4.43 2.92 3.63 4.80 5.38 6.29 7.07 3.40 4.23 5.60 6.28 7.35 8.27 9.19

    MRd 1.0 1.3 1.6 1.8 2.1 2.3 2.5 3.0 4.0 4.5 5.2 5.8 3.6 4.5 5.9 6.5 7.6 8.5 9.4

    2Ue 100x40x172Ue 50x25x10 2Ue 75x40x15

    Tipo

    espessura 1,2 1,5 2 2,25 2,65 3 3,35 2 2,25 2,65 3 3,35 3,75 4,25 4,75 2 2,25 2,65 3 3,35 3,75 4,25 4,75

    (kg/m) 3.78 4.71 6.24 7.00 8.20 9.24 10.26 7.04 7.90 9.26 10.44 11.61 12.93 14.57 16.18 8.48 9.52 11.17 12.60 14.02 15.63 17.63 19.60

    MRd 4.1 5.2 6.8 7.6 8.8 9.9 11.0 9.0 10.1 11.8 13.2 14.6 16.1 18.0 19.8 13.1 14.7 17.1 19.2 21.3 23.6 26.4 29.2

    2Ue 100x50x17 2Ue 125x50x17 2Ue 150x60x20

    Tipo

    espessura 2 2,25 2,65 3 3,35 3,75 4,25 4,75 3 3,35 3,75 4,25 4,75

    (kg/m) 11.04 12.40 14.56 16.44 18.31 20.43 23.07 25.69 33.67 16.68 18.84 20.99 23.44 26.47 29.49

    MRd 21.7 24.5 29.4 33.1 36.7 40.8 45.8 50.7 67.0 35.5 40.0 44.5 49.5 55.7 61.8

    2Ue 200x75x20 2Ue 200x75x25 2Ue 200 75x30

    6,3

    2Ue 200

    100x25

    2,65

    2Ue 200x100x25

    Tipo

    espessura 2 2,25 2,65 3 3,35 3,75 4,25 4,75 2,65 3 3,35 3,75 4,25 4,75

    (kg/m) 13.28 14.92 17.53 19.80 22.06 24.64 27.83 31.01 40.73 18.80 21.24 23.67 26.44 29.87 33.29

    MRd 30.9 35.6 42.6 47.9 53.2 59.2 66.5 73.7 97.6 47.1 53.1 59.0 65.7 73.9 82.0

    2Ue 250x85x25 2Ue 250

    85x30

    6,3

    2Ue 250x100x25

    Tipo

    espessura 2 2,25 2,65 3 3,35 3,75 4,25 4,75 6,3 2,65 3 3,35 3,75 4,25 4,75

    (kg/m) 14.88 16.72 19.65 22.20 24.75 27.64 31.24 34.81 45.77 20.92 23.64 26.35 29.44 33.28 37.09

    MRd 38.5 44.3 52.9 60.6 67.9 75.5 84.9 94.1 121.7 58.4 66.8 74.8 83.3 93.7 104.0

    2Ue 300x85x25 2Ue 300x100x25

    Exemplo: 2Ue 200x75x25x3,75 MRd = 40.8 kNm

    20

    0

    25

    3.75

    75

    espessura

  • FAU/UFRJ Dep. de Estruturas Pr-Dimensionamento de Est de Ao (Ver F)

    Prof. Alexandre Landesmann Estruturas de Ao e Madeira (FAE472) Pgina 3 de 15

    Tabela 2: PILARES

    Resistncia de Perfis Formados a Frio (2Ue) sob

    Compresso Simples Nc,Rd [kN]

    (Ao ASTM A-36; fy = 250 MPa)

    1,2 1,5 2 2,25 2,65 3 1,2 1,5 2 2,25 2,65 3 1,2 1,5 2 2,25 2,65 3 3,35

    0 52.5 65.5 86.2 96.3 112.2 125.8 72.9 97.2 136.2 152.6 178.5 200.8 74.8 101.0 148.5 173.3 208.6 234.9 261.0

    500 49.1 60.7 79.6 88.7 103.0 115.1 72.1 95.7 133.2 149.1 174.2 195.8 74.9 101.0 148.0 172.4 207.1 233.3 259.2

    1000 42.7 52.7 68.6 76.2 87.8 97.6 68.3 90.3 124.1 138.8 162.0 181.9 72.1 96.9 141.4 164.4 195.9 220.7 245.3

    1500 34.4 42.1 54.2 59.8 68.2 75.1 63.8 83.7 113.2 126.5 147.3 165.0 68.9 92.3 133.8 155.1 183.2 206.5 229.5

    2000 25.9 31.5 40.1 44.1 49.9 54.5 58.0 75.3 99.8 111.3 129.1 144.2 65.1 86.6 124.5 143.4 168.1 189.5 210.7

    2500 19.3 23.4 29.7 32.5 36.6 39.9 50.9 65.0 84.7 94.2 108.9 121.1 60.3 79.6 112.8 128.1 150.3 169.5 188.6

    3000 14.7 17.8 22.4 24.6 27.6 30.0 43.2 54.0 70.1 77.7 89.5 99.3 54.5 71.1 99.2 111.4 130.8 147.6 164.4

    3500 11.4 13.8 17.5 19.1 21.4 23.3 36.0 44.4 57.5 63.7 73.2 81.0 48.0 62.0 84.6 95.0 111.6 126.1 140.5

    4000 9.1 11.0 13.9 15.2 17.1 18.5 29.9 36.7 47.4 52.4 60.2 66.5 41.6 53.2 71.6 80.5 94.6 106.9 119.2

    4500 - - - - - - 24.9 30.6 39.4 43.6 50.0 55.2 35.7 45.4 60.7 68.2 80.2 90.7 101.1

    5000 - - - - - - 21.0 25.8 33.2 36.7 42.1 46.5 30.7 38.8 51.7 58.1 68.4 77.4 86.3

    5500 - - - - - - 17.9 22.0 28.3 31.3 35.8 39.5 26.5 33.4 44.4 50.0 58.8 66.5 74.2

    6000 - - - - - - 15.5 18.9 24.4 26.9 30.8 34.0 23.1 28.9 38.5 43.3 50.9 57.6 64.3

    6500 - - - - - - 13.4 16.5 21.2 23.4 26.8 29.5 20.2 25.2 33.6 37.8 44.5 50.3 56.1

    7000 - - - - - - - - - - - - 17.8 22.2 29.6 33.3 39.1 44.3 49.4

    7500 - - - - - - - - - - - - - - - - - - -

    L2Ue 100x40x172Ue 50x25x10 2Ue 75x40x15

    1,2 1,5 2 2,25 2,65 3 3,35 2 2,25 2,65 3 3,35 3,75 4,25 4,75 2 2,25 2,65 3 3,35 3,75 4,25 4,75

    0 85.0 114.7 166.7 193.7 232.7 262.2 291.4 172.2 201.7 250.6 294.1 329.5 367.1 413.5 459.4 194.0 227.3 283.3 334.2 386.1 443.8 500.5 556.6

    500 85.0 114.7 166.7 193.7 232.7 262.1 291.1 172.2 201.7 250.6 294.1 329.5 367.1 413.5 459.4 194.0 227.3 283.3 334.2 386.1 443.8 500.5 556.6

    1000 83.5 111.3 160.7 186.1 221.6 249.4 276.9 169.2 197.8 244.9 286.8 320.0 356.6 401.6 445.6 193.6 226.6 281.7 331.7 382.7 438.5 494.6 550.1

    1500 80.4 106.8 153.4 177.2 209.3 235.4 261.1 163.6 191.0 236.0 275.1 306.1 341.1 384.1 425.9 188.8 220.7 274.1 322.4 371.5 423.5 477.7 531.2

    2000 76.7 101.5 144.8 166.6 195.0 219.1 242.8 157.3 183.3 225.9 261.2 290.6 323.9 364.6 403.9 183.6 214.5 266.0 312.4 359.4 407.4 459.6 511.1

    2500 72.4 95.2 134.3 152.9 178.3 199.9 221.2 150.1 174.4 214.0 245.2 272.9 304.3 342.4 378.7 178.0 207.7 256.9 301.2 346.0 389.8 439.8 489.0

    3000 67.3 87.6 121.9 137.0 159.3 178.3 196.8 141.5 163.8 199.9 227.0 252.6 281.8 316.9 349.8 171.7 199.9 246.6 288.4 330.5 370.0 417.6 464.3

    3500 61.3 79.0 107.8 120.2 139.4 155.8 171.6 131.3 151.4 183.0 206.6 230.1 256.8 288.5 317.8 164.5 191.1 234.8 273.7 311.7 347.8 392.7 436.6

    4000 54.8 69.9 93.5 104.1 120.5 134.4 147.8 119.9 137.5 164.0 185.3 206.4 230.4 258.8 284.3 156.2 180.8 221.1 256.7 289.7 323.4 365.2 406.0

    4500 48.3 61.1 80.6 89.7 103.7 115.5 126.8 107.8 123.1 145.4 164.3 183.1 204.5 229.5 251.6 146.7 169.2 205.8 237.9 266.2 297.3 335.8 373.4

    5000 42.4 53.2 69.6 77.3 89.3 99.4 109.0 96.0 109.0 128.1 144.8 161.4 180.4 202.3 221.4 136.3 156.6 189.4 217.4 242.3 270.6 305.9 340.0

    5500 37.1 46.3 60.3 67.0 77.3 85.9 94.2 85.1 95.9 112.8 127.5 142.1 158.8 178.1 194.6 125.4 143.5 172.6 196.4 219.0 244.7 276.7 307.5

    6000 32.6 40.4 52.5 58.4 67.3 74.8 82.0 75.2 84.5 99.4 112.4 125.4 140.1 157.1 171.5 114.4 130.6 156.3 176.9 197.2 220.4 249.3 277.1

    6500 28.7 35.5 46.1 51.2 59.0 65.6 71.8 66.5 74.8 88.0 99.5 110.9 124.0 139.0 151.6 104.0 118.3 140.6 159.0 177.4 198.3 224.3 249.3

    7000 25.4 31.3 40.7 45.2 52.1 57.8 63.4 59.1 66.5 78.2 88.4 98.6 110.3 123.5 134.7 94.3 107.0 126.5 143.1 159.6 178.5 201.9 224.4

    7500 22.6 27.9 36.2 40.1 46.3 51.4 56.2 52.8 59.3 69.8 79.0 88.1 98.5 110.3 120.2 85.5 96.8 114.1 129.0 144.0 161.0 182.1 202.4

    8000 20.2 24.9 32.3 35.9 41.3 45.9 50.2 47.4 53.2 62.6 70.9 79.1 88.4 99.0 107.9 77.6 87.7 103.2 116.7 130.2 145.6 164.7 183.1

    8500 18.2 22.4 29.1 32.2 37.1 41.2 45.1 42.7 48.0 56.5 63.9 71.3 79.7 89.3 97.2 70.6 79.5 93.6 105.8 118.1 132.1 149.5 166.1

    9000 - - 26.2 29.1 33.5 37.2 40.7 38.7 43.5 51.2 57.9 64.6 72.2 80.8 88.0 64.3 72.4 85.2 96.3 107.5 120.2 136.0 151.2

    9500 - - - - - - - 35.2 39.5 46.5 52.6 58.7 65.7 73.5 80.0 58.8 66.1 77.8 88.0 98.1 109.8 124.2 138.1

    10000 - - - - - - - - - - - - - - - 53.8 60.5 71.2 80.6 89.9 100.6 113.8 126.5

    10500 - - - - - - - - - - - - - - - 49.5 55.6 65.5 74.1 82.6 92.4 104.6 116.3

    11000 - - - - - - - - - - - - - - - 45.6 51.3 60.3 68.3 76.2 85.2 96.5 107.2

    11500 - - - - - - - - - - - - - - - 42.1 47.4 55.8 63.1 70.4 78.8 89.2 99.1

    L2Ue 100x50x17 2Ue 125x50x17 2Ue 150x60x20

    L

    L

  • FAU/UFRJ Dep. de Estruturas Pr-Dimensionamento de Est de Ao (Ver F)

    Prof. Alexandre Landesmann Estruturas de Ao e Madeira (FAE472) Pgina 4 de 15

    Tabela 3:

    Dimenses padronizadas de perfis laminados

    (Gerdau-Aominas)

    Perfis Laminados I (para vigas)

    Dimenses (mm) BITOLA

    Massa Linear (kg/m) d bf d' h tw tf

    W 150 x 13.0 13 148 100 118 138 4,3 4,9

    W 150 x 18.0 18 153 102 119 139 5,8 7,1

    W 200 x 15.0 15 200 100 170 190 4,3 5,2

    W 200 x 19.3 19,3 203 102 170 190 5,8 6,5

    W 200 x 22.5 22,5 206 102 170 190 6,2 8

    W 200 x 26.6 26,6 207 133 170 190 5,8 8,4

    W 200 x 31.3 31,3 210 134 170 190 6,4 10,2

    W 250 x 17.9 17,9 251 101 220 240 4,8 5,3

    W 250 x 22.3 22,3 254 102 220 240 5,8 6,9

    W 250 x 25.3 25,3 257 102 220 240 6,1 8,4

    W 250 x 28.4 28,4 260 102 220 240 6,4 10

    W 250 x 32.7 32,7 258 146 220 240 6,1 9,1

    W 250 x 38.5 38,5 262 147 220 240 6,6 11,2

    W 250 x 44.8 44,8 266 148 220 240 7,6 13

    W 310 x 21.0 21 303 101 272 292 5,1 5,7

    W 310 x 23.8 23,8 305 101 272 292 5,6 6,7

    W 310 x 28.3 28,3 309 102 271 291 6 8,9

    W 310 x 32.7 32,7 313 102 271 291 6,6 10,8

    W 310 x 38.7 38,7 310 165 271 291 5,8 9,7

    W 310 x 44.5 44,5 313 166 271 291 6,6 11,2

    W 310 x 52.0 52 317 167 271 291 7,6 13,2

    W 360 x 32.9 32,9 349 127 308 332 5,8 8,5

    W 360 x 39.0 39 353 128 308 332 6,5 10,7

    W 360 x 44.0 44 352 171 308 332 6,9 9,8

    W 360 x 51.0 51 355 171 308 332 7,2 11,6

    W 360 x 57.8 57,8 358 172 308 332 7,9 13,1

    W 360 x 64.0 64 347 203 288 320 7,7 13,5

    W 360 x 72.0 72 350 204 288 320 8,6 15,1

    W 360 x 79.0 79 354 205 288 320 9,4 16,8

    W 410 x 38.8 38,8 399 140 357 381 6,4 8,8

    W 410 x 46.1 46,1 403 140 357 381 7

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