Tab Perfis

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



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



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



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 11,2

W 410 x 53.0 53 403 177 357 381 7,5 10,9

W 410 x 60.0 60 407 178 357 381 7,7 12,8

W 410 x 67.0 67 410 179 357 381 8,8 14,4

W 410 x 75.0 75 413 180 357 381 9,7 16

W 460 x 52.0 52 450 152 404 428 7,6 10,8

W 460 x 60.0 60 455 153 404 428 8 13,3

W 460 x 68.0 68 459 154 404 428 9,1 15,4

W 460 x 74.0 74 457 190 404 428 9 14,5

W 460 x 82.0 82 460 191 404 428 9,9 16

W 460 x 89.0 89 463 192 404 428 10,5 17,7

W 530 x 66.0 66 525 165 478 502 8,9 11,4

W 530 x 72.0 72 524 207 478 502 9 10,9

W 530 x 74.0 74 529 166 478 502 9,7 13,6

W 530 x 82.0 82 528 209 477 501 9,5 13,3

W 530 x 85.0 85 535 166 478 502 10,3 16,5

W 530 x 92.0 92 533 209 478 502 10,2 15,6

W 610 x 101.0 101 603 228 541 573 10,5 14,9

W 610 x 113.0 113 608 228 541 573 11,2 17,3

W 610 x 125.0 125 612 229 541 573 11,9 19,6

W 610 x 155.0 155 611 324 541 573 12,7 19

W 610 x 174.0 174 616 325 541 573 14 21,6

Perfis Laminados H (para colunas)

Dimenses (mm) BITOLA

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

W 150 x 22.5 22.5 152 152 119 139 5.8 6.6

W 150 x 29.8 29.8 157 153 118 138 6.6 9.3

W 150 x 37.1 37.1 162 154 119 139 8.1 11.6

W 200 x 35.9 35.9 201 165 161 181 6.2 10.2

W 200 x 46.1 46.1 203 203 161 181 7.2 11

HP 200 x 53.0 53 204 207 161 181 11.3 11.3

W 200 x 71.0 71 216 206 161 181 10.2 17.4

HP 250 x 62.0 62 246 256 201 225 10.5 10.7

W 250 x 73.0 73 253 254 201 225 8.6 14.2

W 250 x 80.0 80 256 255 201 225 9.4 15.6

HP 250 x 85.0 85 254 260 201 225 14.4 14.4

W 250 x 89.0 89 260 256 201 225 10.7 17.3

HP 310 x 79.0 79 299 306 245 277 11 11

HP 310 x 93.0 93 303 308 245 277 13.1 13.1

W 310 x 97.0 97 308 305 245 277 9.9 15.4

W 310 x 107.0 107 311 306 245 277 10.9 17

HP 310x110.0 110 308 310 245 277 15.4 15.5

W 310 x 117.0 117 314 307 245 277 11.9 18.7

HP 310x125.0 125 312 312 245 277 17.4 17.4

W 360 x 110.0 110 360 256 288 320 11.4 19.9

W 360 x 122.0 122 363 257 288 320 13 21.7

d = altura do perfil bf = largura da aba do perfil tw = espessura da alma tf = espessura da aba h = altura interna d = altura livre da alma

bf

tw

tf

d d'h



Tabela 4: VIGAS

Resistncia de Perfis Laminados Flexo

Simples MRd [kNm] Ao ASTM A572 grau 50 fy = 345 MPa

Vigas Contidas Lateralmente

Flexo Simples

Perfis Laminados - H

22.5 29.8 37.1 35.9 46.1 53 HP 71 62 HP 73 80 85 HP 89 79 HP 93 97 107 110 HP 117 125 HP 110 122

56.3 77.6 98.3 118.9 155.3 172.9 251.9 247.9 308.4 341.5 342.9 384.0 379.5 454.9 500.0 554.6 542.8 612.4 615.8 645.9 711.9

W360W150 W200 W250 W310

Perfis Laminados - I

13 18 15 19.3 22.5 26.6 31.3 17.9 22.3 25.3 28.4 32.7 38.5 44.8

30.2 43.7 46.4 59.8 70.7 88.5 106.2 66.2 84.0 97.6 112.1 134.4 162.4 190.2

W150 W200 W250

21 23.8 28.3 32.7 38.7 44.5 52 32.9 39 44 51 57.8 64 72 79

91.6 104.5 129.2 152.2 193.0 223.6 264.2 171.7 209.4 246.0 282.1 318.3 359.3 403.3 450.7

W360W310

38.8 46.1 53 60 67 75 52 60 68 74 82 89

231.1 279.5 330.0 376.8 427.4 476.3 343.7 405.2 469.0 519.8 576.0 633.4

W410 W460

66 72 74 82 85 92 101 113 125 155 174

488.6 550.7 566.1 645.6 658.6 740.1 916.7 1039.0 1159.6 1489.5 1688.4

W610W530

MRd

tipo

kg/m



Tabela 5: PILARES

Resistncia de Perfis Laminados (H) Compresso

Simples Nc,Rd [kN] Ao ASTM A572 grau 50 fy = 345 MPa

Perfis Laminados - H

KLb

[mm] 22.5 29.8 37.1 35.9 46.1 53 HP 71 62 HP 73 80 85 HP 89 79 HP 93 97 107 110 HP 117 125 HP 110 122

0 909.5 1207.5 1499.2 1433.3 1837.9 2135.9 2854.1 2496.5 2907.4 3196.0 3403.0 3572.3 3136.4 3738.5 3876.5 4278.0 4422.3 4701.4 4986.8 4409.7 4870.8

500 909.5 1207.5 1499.2 1433.3 1837.9 2135.9 2854.1 2496.5 2731.1 3196.0 3403.0 3572.3 3136.4 3738.5 3876.5 4278.0 4422.3 4701.4 4986.8 4409.7 4870.8

1000 836.4 1119.1 1392.6 1371.6 1786.4 2067.0 2785.4 2480.2 2216.8 3194.8 3386.9 3571.8 3136.4 3738.5 3876.5 4278.0 4422.3 4701.4 4986.8 4398.1 4857.7

1500 748.1 1007.4 1256.0 1280.5 1665.9 1922.0 2604.6 2344.9 1642.7 3031.7 3205.8 3389.8 3024.6 3610.1 3767.9 4160.9 4276.3 4576.0 4827.3 4233.3 4675.6

2000 650.7 884.6 1105.8 1171.2 1538.7 1768.1 2414.5 2206.0 1159.7 2865.4 3020.1 3204.4 2879.8 3439.3 3599.6 3976.2 4076.4 4374.1 4603.6 4057.4 4481.3

2500 549.1 754.9 946.8 1039.8 1401.8 1602.1 2210.5 2059.2 829.9 2691.0 2824.3 3009.9 2730.0 3262.7 3426.5 3786.3 3870.0 4166.8 4372.9 3862.3 4265.6

3000 454.0 630.6 793.4 894.1 1256.9 1427.2 1993.8 1903.0 614.4 2506.0 2616.2 2803.7 2572.5 3077.3 3245.6 3588.0 3653.4 3950.3 4131.1 3640.9 4020.9

3500 373.0 522.2 658.7 752.0 1110.4 1252.3 1772.7 1739.1 470.5 2311.1 2397.5 2586.5 2406.5 2881.9 3055.4 3379.5 3425.3 3722.8 3876.4 3390.0 3743.5

4000 307.8 433.3 547.4 627.6 970.6 1087.9 1558.9 1572.5 370.8 2110.5 2174.2 2362.8 2233.3 2677.8 2856.4 3161.3 3187.0 3484.7 3610.2 3112.6 3436.9

4500 256.3 362.2 458.2 525.2 844.1 941.3 1362.6 1409.8 299.4 1910.7 1954.9 2139.8 2056.3 2469.0 2651.2 2936.2 2942.7 3238.9 3337.0 2820.3 3113.8

5000 215.8 305.8 387.2 442.8 733.8 815.1 1189.3 1257.0 246.7 1719.0 1747.6 1925.7 1880.5 2261.0 2444.5 2709.2 2698.6 2990.7 3063.6 2529.1 2792.1

5500 183.8 260.9 330.5 376.9 639.6 708.3 1039.9 1118.2 206.6 1541.0 1558.1 1726.8 1710.9 2059.8 2241.5 2486.0 2461.8 2746.3 2797.7 2253.9 2488.1

6000 158.1 224.8 284.9 323.9 560.1 618.9 912.8 995.0 175.6 1379.8 1388.8 1546.5 1551.6 1870.2 2047.4 2272.2 2238.0 2511.8 2545.7 2003.9 2212.0

6500 137.3 195.5 247.8 280.9 493.1 543.9 805.1 887.0 151.0 1236.4 1239.9 1386.1 1405.3 1695.5 1865.9 2071.9 2031.2 2291.8 2312.3 1782.4 1967.5

7000 120.3 171.4 217.4 245.7 436.7 481.0 714.0 793.2 131.2 1110.2 1110.1 1244.8 1273.0 1537.2 1699.1 1887.6 1843.1 2089.1 2099.7 1589.2 1754.2

7500 - 151.4 192.1 216.6 388.8 427.8 636.5 712.0 115.1 999.7 997.2 1121.0 1154.6 1395.2 1547.9 1720.3 1674.1 1904.7 1908.3 1421.8 1569.3

8000 - - - 192.3 348.1 382.7 570.4 641.5 101.8 903.2 899.2 1012.9 1049.3 1268.7 1411.8 1569.7 1523.2 1738.6 1737.1 1277.0 1409.4

8500 - - - - 313.3 344.2 513.7 580.3 90.6 818.9 814.0 918.4 955.9 1156.3 1290.1 1434.8 1389.1 1589.7 1584.8 1151.6 1271.0

9000 - - - - 283.3 311.0 464.8 527.1 81.2 745.0 739.6 835.7 873.2 1056.8 1181.5 1314.3 1270.0 1456.6 1449.4 1042.8 1150.9

9500 - - - - 257.3 282.4 422.4 480.5 73.2 680.2 674.6 763.0 800.0 968.4 1084.7 1206.8 1164.2 1337.8 1329.0 948.0 1046.3

10000 - - - - 234.7 - 385.5 439.6 66.3 623.2 617.4 699.0 734.9 889.9 998.3 1110.9 1070.2 1231.7 1222.0 865.1 954.8

10500 - - - - - - - 403.6 60.4 572.7 567.0 642.5 677.1 820.1 921.1 1025.2 986.5 1136.8 1126.6 792.3 874.5

11000 - - - - - - - 371.7 55.2 528.0 522.3 592.3 625.5 757.8 852.1 948.5 911.7 1051.9 1041.4 728.2 803.6

11500 - - - - - - - 343.4 50.6 488.1 482.6 547.6 579.4 702.0 790.1 879.6 844.8 975.6 965.1 671.3 740.9

12000 - - - - - - - - - - - - - - - - - - - - -

W360W150 W200 W250 W310

Perfis Laminados I KLb

[mm] 13 18 15 19.3 22.5 26.6 31.3 17.9 22.3 25.3 28.4 32.7 38.5 44.8

0 520.6 733.9 521.7 787.2 909.5 1072.6 1264.0 562.1 815.1 954.5 1110.2 1234.1 1539.6 1806.5

500 503.1 712.6 505.8 757.9 878.5 1068.8 1261.9 544.0 785.8 921.9 1074.0 1234.1 1539.6 1806.5

1000 439.0 627.7 444.2 656.0 765.8 984.6 1165.8 476.2 682.2 803.6 939.1 1154.2 1440.7 1691.7

1500 350.5 511.4 359.5 514.9 610.0 881.1 1049.0 382.7 538.7 640.1 752.9 1054.3 1316.6 1547.3

2000 256.1 381.8 266.4 370.1 444.7 749.8 900.9 281.5 389.5 466.7 552.5 929.1 1161.3 1366.7

2500 184.3 278.0 193.2 264.1 319.7 606.1 735.9 203.4 278.8 335.5 398.6 782.9 979.8 1155.2

3000 136.1 206.5 143.2 194.2 235.9 478.5 585.3 150.4 205.3 247.6 294.7 638.8 800.2 944.9

3500 103.8 158.0 109.4 147.8 179.9 378.6 465.3 114.8 156.4 188.7 224.8 516.1 647.0 764.9

4000 81.5 124.3 86.0 115.9 141.2 303.8 374.4 - 122.7 148.2 176.6 419.4 526.0 622.2

4500 - 100.1 - - - 247.9 306.0 - - - - 344.9 432.7 512.1

5000 - - - - - 205.6 254.0 - - - - 287.5 360.8 427.0

5500 - - - - - 173.0 213.9 - - - - 242.8 304.7 360.7

6000 - - - - - 147.4 182.4 - - - - 207.5 260.4 308.3

6500 - - - - - - - - - - - 179.2 224.9 266.3

7000 - - - - - - - - - - - - - -

W150 W200 W250

L

L

L

L



Tabela 6a: Sistemas de

pisos/vigas mistos

(ao-concreto) Steel Deck

Steel Deck MF 50

Dimenses da chapa de ao

Viga ao

Deck de ao (chapa dobrada) Frma para a laje e armadura

positiva de flexo

Armadura fissurao (tela soldada)

Fonte: METFORM S/A

Fonte: METFORM S/A



Tabela 6b: Sistemas

de pisos/vigas mistos

(ao-concreto)

Steel Deck MF 75

Dimenses da chapa de ao

Altura Total da Laje

Consumo de Concreto

Tipo de armadura para retrao, em tela soldada

( mm ) ( m3/m2 ) Denominao Composio Peso ( kg/m2 )

130 0,0925 Q - 75 3,8x3,8 150x150 1,21 140 0,1025 Q - 75 3,8x3,8 150x150 1,21 150 0,1125 Q - 75 3,8x3,8 150x150 1,21 160 0,1225 Q - 92 4,2x4,2 150x150 1,48 170 0,1325 Q - 113 3,8x3,8 100x100 1,80 180 0,1425 Q - 113 3,8x3,8 100x100 1,80 190 0,1525 Q - 138 4,2x4,2 100x100 2,20 200 0,1625 Q - 138 4,2x4,2 100x100 2,20

Viga ao

Armadura fissurao (tela soldada)

Chapa do steel deck

Conectores de cisalhamento para trabalho conjunto

Viga Vazio: pode ser usado para

passagem de pequenas tubulaes (eltrica, sprinklers)

Fonte: METFORM S/A

Fonte: METFORM S/A

Fonte: METFORM S/A



Tabela 7a:

Ligao viga-pilar com dupla cantoneira de alma

Perfil da viga

Vd (kN)

Cantoneiras e parafusos

Detalhamento para montagem da ligao

W 150 x 13,0 94

W 150 x 18,0 132

L 76 x 76 x 6,4 x 110

2 5/8" A 325N 4 5/8" A 325N

W 200 x 15,0 111

W 200 x 19,3 150

W 200 x 22,5 160

W 200 x 26,6 150

L 76 x 76 x 6,4 x 135

2 5/8" A 325N 4 5/8" A 325N

W 250 x 17,9 148

W 250 x 22,3 178

W 250 x 25,3 187

W 250 x 28,4 196

W 250 x 32,7 187

W 250 x 38,5 203

W 250 x 44,8 233

L 76 x 76 x 6,4 x 155

2 3/4" A 325N 4 3/4" A 325N

W 310 x 21,0 235

W 310 x 23,8 258

W 310 x 28,3 277

W 310 x 32,7 304

W 310 x 38,7 267

W 310 x 44,5 304

W 310 x 52,0 350

L 76 x 76 x 6,4 x 230

3 3/4" A 325N 6 3/4" A 325N

W 360 x 32,9 267

W 360 x 39,0 300

W 360 x 44,0 318

W 360 x 51,0 332

W 360 x 57,8 364

W 360 x 64,0 355

W 360 x 72,0 368

W 360 x 79,0 368

L 76 x 76 x 6,4 x 230

3 3/4" A 325N 6 3/4" A 325N

Ref.: Ligaes para Estruturas de Ao - Guia Prtico para Estruturas com Perfis Laminados, Oswaldo Teixeira Baio Filho e Antonio Carlos Viana Silva, 1 Edio 2004.



(Continuao)

Tabela 7: Ligao viga-pilar com dupla cantoneira

de alma

Perfil da viga

Vd (kN)

Cantoneiras e parafusos

Detalhamento para montagem da ligao

W 410 x 38,8 394

W 410 x 46,1 431

W 410 x 53,0 462

W 410 x 60,0 474

W 410 x 67,0 487

W 410 x 75,0 487

L 76 x 76 x 6,4 x 305

4 3/4" A 325N 8 3/4" A 325N

W 460 x 52,0 515

W 460 x 60,0 550

W 460 x 68,0 605

W 460 x 74,0 605

W 460 x 82,0 605

W 460 x 89,0 605

L 76 x 76 x 8,0 x 380

5 3/4" A 325N 10 3/4" A 325N

W 530 x 66,0 665

W 530 x 72,0 670

W 530 x 74,0 732

W 530 x 82,0 715

W 530 x 85,0 790

W 530 x 92,0 778

L 102 x 102 x 8 x 455

6 7/8" A 325N 12 7/8" A 325N

W 610 x 101 861

W 610 x 113 861

W 610 x 155 861

W 610 x 174 861

L 102 x 102 x 8 x 455

6 7/8" A 325N 12 7/8" A 325N

Ref.: Ligaes para Estruturas de Ao - Guia Prtico para Estruturas com Perfis Laminados, Oswaldo Teixeira Baio Filho e Antonio Carlos

Viana Silva, 1 Edio 2004.



Tabela 8:

Ligao pilar-fundao tipo rotulada

Ref.: Ligaes para Estruturas de Ao - Guia Prtico para Estruturas com Perfis Laminados, Oswaldo

Teixeira Baio Filho e Antonio Carlos Viana Silva, 1 Edio 2004.

Materiais: Placa de base: ASTM A 36

Chumbadores: 2 1" ASTM A 36 Soldas: Eletrodo E 70XX



Tabela 9:

Tesoura de Cobertura para telhas cermicas

Vo

Escora 2

Escora 1

Perna

Vo

VoLinha

Tipo 1

Perna

AsnaL/6

L/6

Asna

Escora 1

Perna

Tirante 2

Escora 1

Tirante 1

Pendural

Tirante 1

Asna

AsnaPendural

Linha

AsnaTirante 1

L/6

Tirante 2

Linha

Tirante 1

Escora 1 Escora 2

Perna

Pendural

Tipo 2

Tipo 3

Vo at (m) 5 7 9 11 13 15

Tesoura tipo 1 1 1 2 2 3

N de teras 5 5 5 7 7 9

Caibros 3,8 x 7,5 7,5 x 7,5 7,5 x 7,5 7,5 x 7,5 7,5 x 7,5 7,5 x 7,5

Teras 7,5 x 15 7,5 x 23 7,5 x 23 7,5 x 23 7,5 x 23 7,5 x 23

Perna 7,5 x 7,5 7,5 x 15 7,5 x 23 7,5 x 23 7,5 x 23 7,5 x 23

Asna 7,5 x 7,5 7,5 x 7,5 7,5 x 10 7,5 x 11,5 7,5 x 11,5 7,5 x 15

Escora 1 - - - 7,5 x 7,5 7,5 x 11,5 7,5 x 11,5

Escora 2 - - - - - 7,5 x 7,5

Pendural 7,5 x 11,5 7,5 x 11,5 7,5 x 11,5 7,5 x 11,5 7,5 x 11,5 7,5 x 15

Tirante 1 - - - 3,8 x 7,5 3,8 x 7,5 3,8 x 7,5

Tirante 2 - - - - - 3,8 x 7,5

Linha 7,5 x 11,5 7,5 x 15 7,5 x 15 7,5 x 18 7,5 x 23 7,5 x 23

Ref.: Tabela adaptada do livro Tesouras de Telhado de autoria de J. C. REGO MONTEIRO, conforme sugestes incorporadas por Resistncia dos Materiais e Dimensionamento de Estruturas para Construes Rurais - ENG 350, Prof. Fernando da Costa Baeta e Prof. Valmir Sartor, Universidade Federal de Viosa, Viosa/MG, 1999. Obs:

1) As sees das peas, em cm, esto dimensionadas considerando os enfraquecimentos dos encaixes. 2) Distncia entre tesouras 3,5m 3) Distncia entre caibros: 50 cm 4) Seo das ripas: (1,2 x 5) cm a (1,5 x 5) cm, com espaamento de 35 cm



Tabela 10:

Tesoura de Cobertura para

telhas fibro-cimento

Vo

Escora 2

Escora 1

Perna

Vo

VoLinha

Tipo 1

Perna

AsnaL/6

L/6

Asna

Escora 1

Perna

Tirante 2

Escora 1

Tirante 1

Pendural

Tirante 1

Asna

AsnaPendural

Linha

AsnaTirante 1

L/6

Tirante 2

Linha

Tirante 1

Escora 1 Escora 2

Perna

Pendural

Tipo 2

Tipo 3

Vo at (m) 5 7 9 11 13 15

Tesoura tipo 1 2 2 3 3 3

No de teras 5 7 7 9 9 9

Teras 7,5 x 15 7,5 x 15 7,5 x 15 7,5 x 15 7,5 x 15 7,5 x 15

Perna 7,5 x 7,5 7,5 x 11,5 7,5 x 11,5 7,5 x 11,5 7,5 x 15 7,5 x 15

Asna 5,0 x 6,0 3,8 x 7,5 7,5 x 7,5 5,0 x 7,0 7,5 x 7,5 7,5 x 7,5

Escora 1 - 5,0 x 7,0 5,0 x 7,0 7,5 x 7,5 7,5 x 11,5 7,5 x 11,5

Escora 2 - - - 5,0 x 7,0 7,5 x 7,5 7,5 x 7,5

Escora 3 - - - - 5,0 x 7,0 5,0 x 7,0

Pendural 7,5 x 10 7,5 x 10 7,5 x 10 7,5 x 10 7,5 x 11,5 7,5 x 11,5

Tirante 1 - 3,8 x 5,0 3,8 x 5,0 5,0 x 7,5 5,0 x 7,5 5,0 x 7,5

Tirante 2 - - - 3,8 x 5,0 5,0 x 7,5 5,0 x 7,5

Linha 7,5 x 7,5 7,5 x 11,5 7,5 x 11,5 7,5 x 15 7,5 x 23 7,5 x 23

Ref.: Tabela adaptada do livro Tesouras de Telhado de autoria de J. C. REGO MONTEIRO, conforme sugestes incorporadas por Resistncia dos Materiais e Dimensionamento de Estruturas para Construes Rurais - ENG 350, Prof. Fernando da Costa Baeta e Prof. Valmir Sartor, Universidade Federal de Viosa, Viosa/MG, 1999. Obs:

1) As sees das peas, em cm, esto dimensionadas considerando os enfraquecimentos dos encaixes. 2) Distncia entre tesouras 4 m



Tabela 11:

Detalhes Construtivos para

tesouras de cobertura em madeira

Ref: Adaptado de Estruturas de Madeira: , M. Pfeil, W Pfeil, LTC, 2003.

3 cm

20 cm

3 cm

5 cm

3 cm

A

B

D

C



Tabela 12:

Propriedades mecnicas de clculo

de madeiras Dicotiledneas e Conferas

ap12% fcd ftd fvd Ec

kg/m

Angelim ferro Hymenolobium spp 1170.0 3.2 3.7 0.4 1166.3

Angelim pedra Hymenolobium petraeum 1170.0 2.4 2.3 0.3 723.1

Angelim pedra verdadeiro Dinizia excelsa 803.0 3.1 3.3 0.4 934.9

Branquilho Termilalia spp 677.0 1.9 2.7 0.3 754.9

Cedro amargo Cedrella odorata 500 1.6 1.8 0.2 551.0

Cedro doce Cedrella spp 1 090 1.3 2.2 0.2 451.2

Champagne Dipterys odorata 838 3.7 4.2 0.3 1288.1

Cupiba Goupia glabra 1 221 2.2 1.9 0.3 763.1

Catiba Qualea paraensis 705 3.4 2.7 0.3 1087.9

E. Citriodora Eucalyptus citriodora 822 2.5 3.8 0.3 1031.6

E. Grandis Eucalyptus grandis 931 1.6 2.2 0.2 717.5

E. Maculata Eucalyptus maculata 924 2.5 3.6 0.3 1013.5

E. Paniculata Eucalyptus paniculata 952 2.9 4.6 0.4 1113.3

E. Propinqua Eucalyptus propinqua 948 2.1 2.8 0.3 871.4

Garapa Roraima Apuleia leiocarpa 825.0 3.1 3.4 0.4 1028.1

Guaiara Luetzelburgia spp 919.0 2.9 3.6 0.4 818.9

Guarucaia Peltophorum vogelianum 1068.0 2.5 2.2 0.5 963.9

Ip Tabebuia serratifolia 1074.0 3.0 3.0 0.4 1008.6

Jatob Hymenaea spp 684.0 3.7 4.9 0.5 1322.0

Louro preto Ocotea spp 1143.0 2.3 3.5 0.3 794.4

Maaranduba Manilkara spp 856.0 3.3 4.3 0.5 1273.0

Mandioqueira Qualea spp 756.0 2.9 2.8 0.3 1062.4

Sucupira Diplotropis spp 940.0 3.8 3.8 0.4 1216.5

Nome comum Nome cientfico (kN/cm)

Dicotiledneas

ap12% fcd ftd fvd Ec

kg/m

Pinho do Paran Araucaria angustifolia 580.0 1.6 2.9 0.3 852.6

Pinus caribea Pinus caribea var. caribea 579.0 1.4 2.0 0.2 472.1

Pinus bahamensis Pinus caribea var.bahamensis 537.0 1.3 1.6 0.2 398.2

Pinus hondurensis Pinus caribea var.hondurensis 535.0 1.7 1.6 0.2 552.6

Pinus elliottii Pinus elliottii var. elliottii 560.0 1.6 2.1 0.2 665.8

Pinus oocarpa Pinus oocarpa shiede 538.0 1.7 1.9 0.2 610.6

Pinus taeda Pinus taeda L. 645.0 1.8 2.6 0.2 745.0

Nome comum Nome cientfico (kN/cm)

Conferas

Onde: ap(12%) a massa especfica aparente a 12% de umidade; fcd a resistncia compresso paralela

s fibras; ftd a resistncia trao paralela s fibras; fvd a resistncia ao cisalhamento; Ec o mdulo de elasticidade longitudinal obtido no ensaio de compresso paralela s fibras.

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