Cálculo de Ligação Articulada Obra: Cliente: Local: Local: Finalidade: Finalidade:
16/05/12 12:27 Viga
Laminado
Soldado
d= 200 bf= bf= 100 100 tw= tw= 4.3 4.3 tf= tf= 5.2 h= 190 d'= 170 170 A= 19.4 Ix= Ix= 1305 1305 Iy= 87 W x= 130.5 W y= 17.4 Fy= 345 Fu= 450
1 - Cisalhamento dos Parafusos ØRn = 2 . 0,65 . 0,42 . Ap . Fu . Nº ØRn = 255.4 kN 2 - Cantoneiras 2.1 - Esmagamento Sem Rasgamento ØRn = 2 . 0,75 . 2,4 . df . tf . Fu . Nº ØRn = 781.8 kN 2.2 - Esmagamento Com Rasgamento Entre Dois Furos ØRn = 2 . 0,75 [(s/d)-0,50] df . tf . Fu . Nº ØRn = 1123.0 kN 2.3 - Esmagamento Com Rasgamento Entre Furo e Borda ØRn = 2 . 0,75 . Lv . tf . Fu . Nº ØRn = 771.5 kN 2.4 - Escoamento da Seção Bruta ØRn = 2 . 0,9 . 0,6 . Fy . L . tf ØRn = 780.8 kN 2.5 - Ruptura da Seção Líquida ØRn = 2 . 0,75 . 0,6 . Fu . ( L - Nº . df) . tf ØRn = 632.7 kN 2.6 - Colápso por Rasgamento ("Block Shear") Da seção Bruta ØRn = 2 . 0,75 . [(0,6 . Fu . Anv) + Fy . Agt ØRn = 659.4 kN Da Seção Líquida ØRn = 2 . 0,75 . [(0,6 . Fu . Anv) + Fu . Ant ØRn = 661.5 kN 3 - Viga 3.1 - Esmagamento Sem Rasgamento ØRn = 0,75 . 2,4 . df . tw . Fu . Nº ØRn = 132.4 kN 3.2 - Esmagamento Com Rasgamento Entre Dois Furos ØRn = 0,75 [(s/d)-0,50] df . tw . Fu . Nº ØRn = 190.1 kN 3.3 - Esmagamento Com Rasgamento Entre Furo e Borda ØRn = 0,75 . Lv . tw . Fu . Nº ØRn = 130.6 kN 3.4 - Escoamento da Seção Bruta da Alm a ØRn = 0,9 . 0,6 . Fy . (h-Lc) . tw ØRn = 152.2 kN 3.5 - Ruptura da Seção Líquida da Alma ØRn = 0,75 . 0,6 . Fu . (h-Lc-(Nº . df) . tw ØRn = 128.9 kN 3.6 - Colápso por Rasgamento ("Block Shear") Da seção Bruta ØRn = 0,75 . [(0,6 . Fu . Anv) + Fy . Agt ØRn = 143.8 kN Da Seção Líquida ØRn = 0,75 . [(0,6 . Fu . Anv) + Fu . Ant ØRn = 143.8 kN Rodrigo Bordignon
Cantoneira
Vd (kN (kN)= )= 37 3700 Nº= 2 S= 75.0 Lc= 0.0 Lv= 45.0 Lh= 45.0
L= bf= tf= Fy= Fu=
NO OK!
1.45
OK!
0.47
OK!
0.33
OK!
0.48
OK!
0.47
OK!
0.58
OK!
0.56
OK!
0.56
NO OK!
2.80
NO OK!
1.95
NO OK!
2.83
NO OK!
2.43
NO OK!
2.87
NO OK!
2.57
NO OK!
2.57
165 101.6 12.7 345 450
Parafuso
dp= df= Ap= Fy= Fu=
19 21 283.53 635 825
NBR 8800/86
C LCUL LCULO O DE LIGA LIGAÇ Ç ES PARA PARAFU FUSA SADA DAS S Projeto: Projeto: Cliente: Local: Local: Finalidade: Finalidade :
16/05/12 12:27 Perfil Caixão
Parafuso
a= b= t1= t2= e1= e2=
450 450 16 16 25 30
mm mm mm mm mm mm
Fd= 4000 kN h= 418 mm c= 510 mm Ag= 15268 mm² Fy= 345 MPa Fu= 450 MPa 100% 1 - Resistência do Perfil 1.1 - Escoamento da Seção Bruta ØRn = 0,9 . Ag . Fy ØRn = 47 4 740.7 kN kN 1.2 - Ruptura da Seção Líquida Efetiva ØRn = 0,75 . Ae . Fu ØRn = 51 5 153.0 kN kN 1.3 - Força de Cálculo Adotada para Dimensionamento F= 5153.0 kN
4 - Verificação das Talas Area Bruta (Ag)= 23000 mm mm² Area Líquida (An)= 18800 mm mm² Area Líquida Efetiva (Ae)= 15980 mm² 3.1 - Escoamento da Seção Bruta ØRn = 0,9 . Ag . Fy ØRn = 7141.5 kN 3.2 - Ruptura da Seção Líquida Efetiva ØRn = 0,75 . Ae . Fu ØRn = 5393.3 kN
19 21 284
mm mm mm²
Fy= Fu=
635 825
MPa MPa
4740.7 kN 5153.0 kN
2 - Verificação dos Parafusos 2.1 - Resistencia ao Corte ØRn = 0,65 . 0,42 . Ap . Fu ØRn = 63.9 kN CS ØRn = 127.7 kN CD 2.2 - Numero Mínimo de Parafusos Np = F / ØRn Np = 40 parafusos 3 - Verificação da Chapa de Ligação Area Bruta (Ag)= 25500 mm mm² Area Líquida (An)= 21300 mm mm² Area Líquida Efetiva (Ae)= 18105 mm² 3.1 - Escoamento da Seção Bruta ØRn = 0,9 . Ag . Fy ØRn = 7917.8 kN 3.2 - Ruptura da Seção Líquida Efetiva ØRn = 0,75 . Ae . Fu ØRn = 6110.4 kN
dp= df= Ap=
6
parafusos
4
parafusos
Total =
espessura-t3= OK!
0.7
OK!
0.8
espessura = OK!
0.7
OK!
1.0
50
mm
25
mm
24
Não OK! parafusos
19
Cálculo de Emenda de Perfil I Obra: Cliente: Local: Finalidade:
16/05/12 12:27
Laminado
Soldado
Perfil d= 350 bf= 350 tw= 8 tf= 16 h= 318 d'= A= 137.44 Ix= 33403.4 Iy= 11434.7 Wx= 1908.77 Wy= 653.411 Zx= Zy= Fy= 345 Fu= 450
85% 1 - Resistência do Perfil 1.1 - Resistencia ao Cisalhamento ØRn = 0,9 . 0,6 . Aw . Fy ØRn = 473.9 kN 1.2 - Reistencia ao Momento ØMn = 0,9 . Wx . Fy ØMn = 592.7 kNm 1.3 - Esforço de Cálculo para Dimensionamento Vd= 402.9 kN Md= 503.8 kNm 2 - Cisalhamento dos Parafusos ØRn = 0,65 . 0,42 . Ap . Fu ØRn = 63.9 kN ØRn = 127.7 kN
Vd= Md=
0 0
kN kNm
dp= df= Ap= Fy= Fu=
19 21 283.53 635 825
402.9 kN 503.8 kNm
CS CD
3 - Talas da Alma 3.1 - Resistência ao Cisalhamento ØRn = 0,9 . 0,6 . Aw . Fy Aw> Vd / (0,9 . 0,6 . Fy) largura (mm)= Aw> 2162 mm² espessura (mm)= 3.2 - Numero Mínimo de Parafusos na Alma Nº= 4 OBS: Utilizar no mínimo duas colunas ao longo de toda a altura. 4 - Talas da Mesa 4.1 - Esfoço na Tala T=C= Md / (d-tf) T=C= 1508.3 kN ØRn = 0,9 . Am . Fy Am> C / (0,9 . Fy) Aw> 8096 mm² 4.2 - Numero Mínimo de Parafusos na Mesa Nº= 12 Rodrigo Bordignon
Parafuso
largura (mm)= espessura (mm)=
250 8
Aw=
4000
OK!
0.54
350 12.5
Aw=
8525
OK!
0.95 NBR 8800/86
Cálculo de Emenda de Perfil Caixão Obra: Cliente: Local: Finalidade:
16/05/12 12:27 Perfil
Parafuso Fy= Fu=
345 450
MPa MPa
d1= d2= t1= t2= m= e= t= p=
800 800 50 50 150 70 50 120
mm mm mm mm mm mm mm mm
C/3= y= a=
220 810 330
mm mm mm
Nd= Vd= Md=
3000 100 2765
kN kN kNm
Nº=
7
parafusos
OK!
0.06
OK! OK!
0.08 0.10
2 - Parafusos 2.1 - Resistência ao Cisalhamento ØRnv = 0,65 . 0,42 . Ap . Fu ØRn = 256.8 kN CS ØRn = 513.6 kN CD fvp= 0.23 kN/mm² 2.2 - Resistência à Tração ØRnt = 0,75 . 0,75 . Ap . Fu ØRnt = 529.1 kN ftp= 0.46 kN/mm² 2.3 - Força de Tração no Parafuso Ndp = ((Md - Nd . a ) / y) / Nº Ndp = 312.9 kN F. Total= 312.9 kN (Ndp+Q) 2.4 - Número Mínimo de Parafusos à Tração Nº =F . Total / ØRnt Nº= 1 fv = Vd / Ap fv = 0.01 kN/mm² ft = Ndt / Ap ft = 0.04 kN/mm² f= 0.04 kN/mm² 1 - Placa Método - 1 1.1 - Geometria L= 1100 mm B= 1100 mm 1.2 - Cálculo de fc máximo fcmax = (Nd / L . B) + (6 . Md / B . L²) fcmax = 14.94 N/mm² 1.3 - Cálculo de fc mínimo fcmax = (Nd / L . B) - (6 . Md / B . L²) fcmin = -9.98 N/mm² 1.4 - Cálculo da distância C C = (fc max . L) / (fcmax + fcmín) C = 659 mm 1.5 - Espessura mínima t² = (4 . M1) / (0,9 . Fy) t= 46.5 mm Rodrigo Bordignon
dp= 38.1 df= 40 Ap= 1140.09 Fy= 635 Fu= 825
Método - 2 a= b'=b-d/2 = a'=a+d/2 = d=1-d'/p =
mm mm mm
Q=
70.0 61.0 89.1 0.7 1.0 1.0 0.0 0.0
t req =
49.1
mm
b= a' = a=
OK!
kN
OK!
0.98
0.93 NBR 8800/86
CÁLCULO DE LIGAÇ ES PARAFUSADAS Projeto: Cliente: Local: Finalidade:
16/05/12 12:27 Tubo Quadrado
Parafuso
d= e= t1= t2= t3= L=
290 12.7 25.0 32.0 16.0 310
Nº=
4
Fd= 1400 kN
dp= df= Ap=
31.8 34 794
mm mm mm²
Fy= Fu=
Fy= Fu=
635 825
MPa MPa
345 MPa 450 MPa
1 - Verificação dos Parafusos 1.1 - Resistencia ao Corte ØRn = 0,65 . 0,42 . Ap . Fu ØRn = 178.9 kN CS ØRn = 357.8 kN CD 1.2 - Numero Mínimo de Parafusos Np = F / ØRn Np = 8 parafusos à cisalhamento simples Np = 4 parafusos à cisalhamento duplo 3 - Verificação da Chapa de Ligação Area Bruta (Ag)= 7750 mm² Area Líquida (An)= 6060 mm² Area Líquida Efetiva (Ae)= 5151 mm² 3.1 - Escoamento da Seção Bruta ØRn = 0,9 . Ag . Fy ØRn = 2406.4 kN 3.2 - Ruptura da Seção Líquida Efetiva ØRn = 0,75 . Ae . Fu ØRn = 1738.5 kN 4 - Verificação das Talas Area Bruta (Ag)= 9920 mm² Area Líquida (An)= 7757 mm² Area Líquida Efetiva (Ae)= 6593 mm² 3.1 - Escoamento da Seção Bruta ØRn = 0,9 . Ag . Fy ØRn = 3080.2 kN 3.2 - Ruptura da Seção Líquida Efetiva ØRn = 0,75 . Ae . Fu ØRn = 2225.2 kN
mm mm mm mm mm mm
NO OK! OK!
OK!
0.58
OK!
0.81
OK!
0.45
OK!
0.63
2.00 1.00
Cálculo de Emenda de Perfil I Obra: Cliente: Local: Finalidade:
16/05/12 12:27
Laminado
Soldado
Perfil d= 207 bf= 133 tw= 5.8 tf= 8.4 h= 190 d'= 170 A= 34.2 Ix= 2611 Iy= 330 Wx= 252.3 Wy= 49.6 Zx= 282.3 Zy= 76.3 Fy= 345 Fu= 450
Parafuso
Vd= Md= Nd=
0 0 1
kN kNm kN
Nº= dp= df= Ap= Fy= Fu=
8 19 21 283.53 635 825
100% 1 - Resistência do Perfil 1.1 - Resistência ao Momento ØMn = 0,9 . Zx . Fy ØMn = 87.7 kNm ØMn = 1,25 . 0,9 . Wx . Fy ØMn = 97.9 kN 1.3 - Esforço de Cálculo para Dim ensionamento ØMn = 87.7 kNm 2 - Parafusos 2.1 - Resistência ao Cisalhamento ØRn = 0,65 . 0,42 . Ap . Fu ØRn = 63.9 kN CS ØRn = 127.7 kN CD 2.2 - Resistência à Tração (T) ØRn = 0,75 . 0,75 . Ap . Fu ØRn = 131.6 kN 2.3 - Momento Máximo Devido à Tração nos Parafusos ØMn = (Nºt / 1,5) T (d-tf) ØMn = 69.7 kNm Rodrigo Bordignon
NBR 8800/86
I laminado Bitola d W 150 x 13,0 148 W 150 x 18,0 153 W 200 x 15,0 200 W 200 x 19,3 203 W 200 x 22,5 206 W 200 x 26,6 207 W 200 x 31,3 210 W 250 x 17,9 251 W 250 x 22,3 254 W 250 x 25,3 257 W 250 x 28,4 260 W 250 x 32,7 258 W 250 x 38,5 262 W 250 x 44,8 266 W 310 x 21,0 303 W 310 x 23,8 305 W 310 x 28,3 309 W 310 x 32,7 313 W 310 x 38,7 310 W 310 x 44,5 313 W 310 x 52,0 317 W 360 x 32,9 349 W 360 x 39,0 353 W 360 x 44,0 352 W 360 x 51,0 355 W 360 x 57,8 358 W 360 x 64,0 347 W 360 x 72,0 350 W 360 x 79,0 354 W 410 x 38,8 399 W 410 x 46,1 403 W 410 x 53,0 403 W 410 x 60,0 407 W 410 x 67,0 410 W 410 x 75,0 413 W 460 x 52,0 450 W 460 x 60,0 455 W 460 x 68,0 459 W 460 x 74,0 457 W 460 x 82,0 460 W 460 x 89,0 463 W 530 x 66,0 525 W 530 x 72,0 524 W 530 x 74,0 529 W 530 x 82,0 528 W 530 x 85,0 535 W 530 x 92,0 533 W 610 x 101,0 603 W 610 x 113,0 608 W 610 x 125,0 612
bf
tw 100 102 100 102 102 133 134 101 102 102 102 146 147 148 101 101 102 102 165 166 167 127 128 171 171 172 203 204 205 140 140 177 178 179 180 152 153 154 190 191 192 165 207 166 209 166 209 228 228 229
4.3 5.8 4.3 5.8 6.2 5.8 6.4 4.8 5.8 6.1 6.4 6.1 6.6 7.6 5.1 5.6 6 6.6 5.8 6.6 7.6 5.8 6.5 6.9 7.2 7.9 7.7 8.6 9.4 6.4 7 7.5 7.7 8.8 9.7 7.6 8 9.1 9 9.9 10.5 8.9 9 9.7 9.5 10.3 10.2 10.5 11.2 11.9
tf
h 4.9 7.1 5.2 6.5 8 8.4 10.2 5.3 6.9 8.4 10 9.1 11.2 13 5.7 6.7 8.9 10.8 9.7 11.2 13.2 8.5 10.7 9.8 11.6 13.1 13.5 15.1 16.8 8.8 11.2 10.9 12.8 14.4 16 10.8 13.3 15.4 14.5 16 17.7 11.4 10.9 13.6 13.3 16.5 15.6 14.9 17.3 19.6
d' 138 139 190 190 190 190 190 240 240 240 240 240 240 240 292 292 291 291 291 291 291 332 332 332 332 332 320 320 320 381 381 381 381 381 381 428 428 428 428 428 428 502 502 502 501 502 502 573 573 573
118 119 170 170 170 170 170 220 220 220 220 220 220 220 272 272 271 271 271 271 271 308 308 308 308 308 288 288 288 357 357 357 357 357 357 404 404 404 404 404 404 478 478 478 477 478 478 541 541 541
Área 16.6 23.4 19.4 25.1 29 34.2 40.3 23.1 28.9 32.6 36.6 42.1 49.6 57.6 27.2 30.7 36.5 42.1 49.7 57.2 67 42.1 50.2 57.7 64.8 72.5 81.7 91.3 101.2 50.3 59.2 68.4 76.2 86.3 95.8 66.6 76.2 87.6 94.9 104.7 114.1 83.6 91.6 95.1 104.5 107.7 117.6 130.3 145.3 160.1
W 610 x 155,0 W 610 x 174,0 VS 150 x 15 VS 150 x 18 VS 150 x 19 VS 150 x 20 VS 150 x 21 VS 200 x 19 VS 200 x 22 VS 200 x 25 VS 200 x 20 VS 200 x 23 VS 200 x 26 VS 250 x 21 VS 250 x 24 VS 250 x 27 VS 250 x 23 VS 250 x 26 VS 250 x 30 VS 250 x 25 VS 250 x 29 VS 250 x 32 VS 300 x 23 VS 300 x 26 VS 300 x 28 VS 300 x 25 VS 300 x 28 VS 300 x 31 VS 300 x 27 VS 300 x 31 VS 300 x 34 VS 300 x 33 VS 300 x 37 VS 300 x 46 VS 350 x 27 VS 350 x 30 VS 350 x 33 VS 350 x 28 VS 350 x 33 VS 350 x 36 VS 350 x 31 VS 350 x 35 VS 350 x 39 VS 350 x 38 VS 350 x 42 VS 350 x 51 VS 400 x 28 VS 400 x 32 VS 400 x 35 VS 400 x 30 VS 400 x 34
611 616 150 150 150 150 150 200 200 200 200 200 200 250 250 250 250 250 250 250 250 250 300 300 300 300 300 300 300 300 300 300 300 300 350 350 350 350 350 350 350 350 350 350 350 350 400 400 400 400 400
324 325 100 100 100 100 100 120 120 120 130 130 130 120 120 120 140 140 140 160 160 160 120 120 120 140 140 140 160 160 160 180 180 180 140 140 140 160 160 160 180 180 180 200 200 200 140 140 140 160 160
12.7 14 4.75 4.75 6.30 4.75 6.30 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75
19 21.6 6.35 8.00 8.00 9.50 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 8.00 9.50 12.50 6.35 8.00 9.50 6.35 8.00 9.50 6.35 8.00 9.50 8.00 9.50 12.50 6.35 8.00 9.50 6.35 8.00
573 573
541 541
198.1 222.8
137.3 134.0
-
19.22 22.37
131.0 131.0 187.3 184.0 181.0 187.3 184.0 181.0 237.3 234.0 231.0 237.3 234.0 231.0 237.3 234.0 231.0 287.3 284.0 281.0 287.3 284.0 281.0 287.3 284.0 281.0 284.0 281.0 275.0 337.3 334.0 331.0 337.3 334.0 331.0 337.3 334.0 331.0 334.0 331.0 325.0 387.3 384.0 381.0 387.3 384.0
-
25.22 27.25 24.14 27.94 31.40 25.41 29.54 33.30 26.51 30.32 33.77 29.05 33.52 37.57 31.59 36.72 41.37 28.89 32.69 36.15 31.43 35.89 39.95 33.97 39.09 43.75 42.29 47.55 58.06 33.80 38.27 42.32 36.34 41.47 46.12 38.88 44.67 49.92 47.87 53.72 65.44 36.18 40.64 44.70 38.72 43.84
VS 400 x 38 VS 400 x 32 VS 400 x 37 VS 400 x 41 VS 400 x 39 VS 400 x 44 VS 400 x 53 VS 450 x 51 VS 450 x 60 VS 450 x 71 VS 450 x 80 VS 450 x 59 VS 450 x 70 VS 450 x 84 VS 450 x 95 VS 500 x 61 VS 500 x 73 VS 500 x 86 VS 500 x 98 VS 550 x 64 VS 550 x 75 VS 550 x 89 VS 550 x 100 VS 600 x 81 VS 600 x 95 VS 600 x 111 VS 600 x 125 VS 600 x 140 VS 600 x 152 VS 650 x 84 VS 650 x 98 VS 650 x 114 VS 650 x 128 VS 650 x 143 VS 650 x 155 VS 700 x 105 VS 700 x 122 VS 700 x 137 VS 700 x 154 VS 700 x 166 VS 750 x 108 VS 750 x 125 VS 750 x 140 VS 750 x 157 VS 750 x 170 VS 800 x 111 VS 800 x 129 VS 800 x 143 VS 800 x 146 VS 800 x 160 VS 800 x 173 VS 850 x 120
400 400 400 400 400 400 400 450 450 450 450 450 450 450 450 500 500 500 500 550 550 550 550 600 600 600 600 600 600 650 650 650 650 650 650 700 700 700 700 700 750 750 750 750 750 800 800 800 800 800 800 850
160 180 180 180 200 200 200 200 200 200 200 250 250 250 250 250 250 250 250 250 250 250 250 300 300 300 300 300 300 300 300 300 300 300 300 320 320 320 320 320 320 320 320 320 320 320 320 320 300 320 320 350
4.75 4.75 4.75 4.75 4.75 4.75 4.75 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 9.52 8.00 8.00 8.00
9.50 6.35 8.00 9.50 8.00 9.50 12.50 9.50 12.50 16.00 19.00 9.50 12.50 16.00 19.00 9.50 12.50 16.00 19.00 9.50 12.50 16.00 19.00 9.50 12.50 16.00 19.00 22.40 25.00 9.50 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 19.00 22.40 25.00 12.50
381.0 387.3 384.0 381.0 384.0 381.0 375.0 431.0 425.0 418.0 412.0 431.0 425.0 418.0 412.0 481.0 475.0 468.0 462.0 531.0 525.0 518.0 512.0 581.0 575.0 568.0 562.0 555.2 550.0 631.0 625.0 618.0 612.0 605.2 600.0 675.0 668.0 662.0 655.2 650.0 725.0 718.0 712.0 705.2 700.0 775.0 768.0 762.0 762.0 755.2 750.0 825.0
-
48.50 41.26 47.04 52.30 50.24 56.10 67.81 65.37 76.99 90.54 102.16 74.87 89.49 106.54 121.16 78.04 92.66 109.72 124.34 81.22 95.84 112.89 127.51 103.48 121.00 141.44 158.96 178.82 194.00 107.48 125.00 145.44 162.96 182.82 198.00 134.00 155.84 174.56 195.78 212.00 138.00 159.84 178.56 199.78 216.00 142.00 163.84 182.56 186.54 203.78 220.00 153.50
VS 850 x 139 VS 850 x 155 VS 850 x 174 VS 850 x 188 VS 900 x 124 VS 900 x 142 VS 900 x 159 VS 900 x 177 VS 900 x 191 VS 950 x 127 VS 950 x 146 VS 950 x 162 VS 950 x 180 VS 950 x 194 VS 1000 x 140 VS 1000 x 161 VS 1000 x 180 VS 1000 x 201 VS 1000 x 217 VS 1100 x 159 VS 1100 x 180 VS 1100 x 199 VS 1100 x 219 VS 1100 x 235 VS 1200 x 200 VS 1200 x 221 VS 1200 x 244 VS 1200 x 262 VS 1200 x 307 VS 1300 x 237 VS 1300 x 258 VS 1300 x 281 VS 1300 x 299 VS 1300 x 344 VS 1400 x 260 VS 1400 x 283 VS 1400 x 309 VS 1400 x 329 VS 1400 x 378 VS 1400 x 424 VS 1400 x 478 VS 1500 x 270 VS 1500 x 293 VS 1500 x 319 VS 1500 x 339 VS 1500 x 388 VS 1500 x 434 VS 1500 x 488 VS 1600 x 328 VS 1600 x 348 VS 1600 x 398 VS 1600 x 444
850 850 850 850 900 900 900 900 900 950 950 950 950 950 1000 1000 1000 1000 1000 1100 1100 1100 1100 1100 1200 1200 1200 1200 1200 1300 1300 1300 1300 1300 1400 1400 1400 1400 1400 1400 1400 1500 1500 1500 1500 1500 1500 1500 1600 1600 1600 1600
350 350 350 350 350 350 350 350 350 350 350 350 350 350 400 400 400 400 400 400 400 400 400 400 450 450 450 450 450 450 450 450 450 450 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500
8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 9.50 9.50 9.50 9.50 9.50 9.50 9.50 9.50 9.50 9.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50
16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 12.50 16.00 19.00 22.40 25.00 16.00 19.00 22.40 25.00 31.50 16.00 19.00 22.40 25.00 31.50 16.00 19.00 22.40 25.00 31.50 37.50 44.50 16.00 19.00 22.40 25.00 31.50 37.50 44.50 22.40 25.00 31.50 37.50
818.0 812.0 805.2 800.0 875.0 868.0 862.0 855.2 850.0 925.0 918.0 912.0 905.2 900.0 975.0 968.0 962.0 955.2 950.0 1075.0 1068.0 1062.0 1055.2 1050.0 1168.0 1162.0 1155.2 1150.0 1137.0 1268.0 1262.0 1255.2 1250.0 1237.0 1368.0 1362.0 1355.2 1350.0 1337.0 1325.0 1311.0 1468.0 1462.0 1455.2 1450.0 1437.0 1425.0 1411.0 1555.2 1550.0 1537.0 1525.0
-
177.44 197.96 221.22 239.00 157.50 181.44 201.96 225.22 243.00 161.50 185.44 205.96 229.22 247.00 178.00 205.44 228.96 255.62 276.00 202.13 229.46 252.89 279.44 299.75 254.96 281.39 311.34 334.25 391.52 302.50 328.75 358.50 381.25 438.13 331.00 360.25 393.40 418.75 482.13 540.63 608.88 343.50 372.75 405.90 431.25 494.63 553.13 621.38 418.40 443.75 507.13 565.63
VS 1600 x 498 VS 1700 x 338 VS 1700 x 358 VS 1700 x 408 VS 1700 x 454 VS 1700 x 507 VS 1800 x 348 VS 1800 x 368 VS 1800 x 418 VS 1800 x 464 VS 1800 x 517 VS 1800 x 465 VS 1800 x 511 VS 1800 x 564 VS 1900 x 429 VS 1900 x 478 VS 1900 x 524 VS 1900 x 577 VS 2000 x 461 VS 2000 x 515 VS 2000 x 566 VS 2000 x 624 CVS 350 x 73 CS 350 x 108 PS 1200 x 297 PS 1200 x 333 PS 1600 x 668 PS 1700 x 683
1600 1700 1700 1700 1700 1700 1800 1800 1800 1800 1800 1800 1800 1800 1900 1900 1900 1900 2000 2000 2000 2000 350 350 1170 1120 1620 1720
500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 550 550 550 550 250 350 400 400 450 450
12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 16.00 16.00 16.00 16.00 16.00 16.00 16.00 16.00 16.00 16.00 16.00 9.50 8.00 16.00 16.00 19.00 19.00
44.50 22.40 25.00 31.50 37.50 44.50 22.40 25.00 31.50 37.50 44.50 31.50 37.50 44.50 25.00 31.50 37.50 44.50 25.00 31.50 37.50 44.50 12.50 16.00 25.00 31.50 63.00 63.00
1511.0 1655.2 1650.0 1637.0 1625.0 1611.0 1755.2 1750.0 1737.0 1725.0 1711.0 1737.0 1725.0 1711.0 1850.0 1837.0 1825.0 1811.0 1950.0 1937.0 1925.0 1911.0 325.0 318.0 1120.0 1057.0 1494.0 1594.0
-
633.88 430.90 456.25 519.63 578.13 646.38 443.40 468.75 532.13 590.63 658.88 592.92 651.00 718.76 546.00 608.92 667.00 734.76 587.00 656.42 720.50 795.26 93.38 137.44 379.20 421.12 850.86 869.86
Ix
Iy 635 939 1,305 1,686 2,029 2,611 3,168 2,291 2,939 3,473 4,046 4,937 6,057 7,158 3,776 4,346 5,500 6,570 8,581 9,997 11,909 8,358 10,331 12,258 14,222 16,143 17,890 20,169 22,713 12,777 15,690 18,734 21,707 24,678 27,616 21,370 25,652 29,851 33,415 37,157 41,105 34,971 39,969 40,969 47,569 48,453 55,157 77,003 88,196 99,184
82 126 87 116 142 330 410 91 123 149 178 473 594 704 98 116 158 192 727 855 1,026 291 375 818 968 1,113 1,885 2,140 2,416 404 514 1,009 1,205 1,379 1,559 634 796 941 1,661 1,862 2,093 857 1,615 1,041 2,028 1,263 2,379 2,951 3,426 3,933
Wx 85.8 122.8 130.5 166.1 197 252.3 301.7 182.6 231.4 270.2 311.2 382.7 462.4 538.2 249.2 285 356 419.8 553.6 638.8 751.4 479 585.3 696.5 801.2 901.8 1,031.10 1,152.50 1,283.20 640.5 778.7 929.7 1,066.70 1,203.80 1,337.30 949.8 1,127.60 1,300.70 1,462.40 1,615.50 1,775.60 1,332.20 1,525.50 1,548.90 1,801.80 1,811.30 2,069.70 2,554.00 2,901.20 3,241.30
Wy 16.4 24.7 17.4 22.7 27.9 49.6 61.2 18.1 24.1 29.3 34.8 64.8 80.8 95.1 19.5 22.9 31 37.6 88.1 103 122.9 45.9 58.6 95.7 113.3 129.4 185.7 209.8 235.7 57.7 73.4 114 135.4 154.1 173.2 83.5 104.1 122.2 174.8 195 218 103.9 156 125.5 194.1 152.2 227.6 258.8 300.5 343.5
Zx 96.4 139.4 147.9 190.6 225.5 282.3 338.6 211 267.7 311.1 357.3 428.5 517.8 606.3 291.9 333.2 412 485.3 615.4 712.8 842.5 547.6 667.7 784.3 899.5 1,014.80 1,145.50 1,285.90 1,437.00 736.8 891.1 1,052.20 1,201.50 1,362.70 1,518.60 1,095.90 1,292.10 1,495.40 1,657.40 1,836.40 2,019.40 1,558.00 1,755.90 1,804.90 2,058.50 2,099.80 2,359.80 2,922.70 3,312.90 3,697.30
Zy 25.5 38.5 27.3 35.9 43.9 76.3 94 28.8 38.4 46.4 54.9 99.7 124.1 146.4 31.4 36.9 49.4 59.8 134.9 158 188.8 72 91.9 148 174.7 199.8 284.5 321.8 361.9 90.9 115.2 176.9 209.2 239 269.1 131.7 163.4 192.4 271.3 303.3 339 166 244.6 200.1 302.7 241.6 354.7 405 469.7 536.3
Contoneira Bitola bf 1 x 1/4 1.1/4 x 1/4 1.1/2 x 3/16 1.1/2 x 1/4 1.3/4 x 1/8 1.3/4 x 3/16 1.3/4 x 1/4 1.3/4 x 5/16 2 x 3/16 2 x 1/4 2 x 5/16 2 x 3/8 2.1/2 x 3/16 2.1/2 x 1/4 2.1/2 x 5/16 2.1/2 x 3/8 2 x 3/16 3 x 1/4 3 x 5/16 3 x 3/8 3 x 1/2 4 x 1/4 4 x 5/16 4 x 3/8 4 x 1/2 4 x 5/8 5 x 3/8 5 x 1/2 5 x 5/8 5 x 3/4 6 x 3/8 6 x 1/2 6 x 5/8 6 x 3/4 6 x 7/8 8 x 1/2 8 x 5/8 8 x 3/4 8 x 7/8 8x1
25.4 31.8 38.1 38.1 44.45 44.45 44.45 44.45 50.8 50.8 50.8 50.8 63.5 63.5 63.5 63.5 76.2 76.2 76.2 76.2 76.2 101.6 101.6 101.6 101.6 101.6 127 127 127 127 152.4 152.4 152.4 152.4 152.4 203.2 203.2 203.2 203.2 203.2
129,583 147,754
10,783 12,374
4,241.70 4,797.20
665.6 761.5
758 903
106 133
101 120
21 27
1,028 1,057 1,689 2,017 2,305 1,808 2,165 2,477 2,791 3,319 3,787 3,168 3,788 4,336 3,545 4,257 4,886 4,225 5,000 5,690 4,772 5,683 6,492 5,320 6,365 7,294 7,047 8,096 10,128 6,769 8,026 9,148 7,519 8,962 10,249 8,269 9,898 11,351 10,834 12,453 15,604 9,188 10,848 12,332 10,172 12,077
158 159 183 231 274 233 293 348 183 231 274 291 366 435 434 546 649 183 231 274 291 366 435 434 546 649 778 924 1215 291 366 435 434 546 649 618 778 924 1067 1267 1667 291 366 435 434 546
137 141 169 202 230 181 216 248 223 266 303 253 303 347 284 341 391 282 333 379 318 379 433 355 424 486 470 540 675 387 459 523 430 512 586 473 566 649 619 712 892 459 542 617 509 604
32 32 31 38 46 36 45 54 31 38 46 42 52 62 54 68 81 31 38 46 42 52 62 54 68 81 86 103 135 42 52 62 54 68 81 69 86 103 107 127 167 42 52 62 54 68
4,749.10 5,383.30
1,022.60 1,171.10
13,781 11,156 13,307 15,230 14,536 16,679 20,863 22,673 27,994 34,015 39,018 27,283 33,978 41,553 47,848 34,462 42,813 52,292 60,195 42,618 52,807 64,403 74,097 62,768 77,401 94,091 108,073 123,562 135,154 75,213 92,487 112,225 128,792 147,178 160,963 115,045 139,665 160,361 183,368 200,642 134,197 162,620 186,545 213,178 233,200 155,074 187,573 214,961 208,974 245,485 268,458 190,878
649 618 778 924 1067 1267 1667 1268 1668 2134 2534 2475 3256 4168 4949 2475 3256 4168 4949 2475 3256 4168 4949 4277 5627 7202 8552 10082 11252 4278 5628 7203 8553 10083 11253 6830 8741 10379 12236 13656 6830 8741 10380 12236 13656 6830 8741 10380 8555 12237 13657 8936
689 558 665 761 727 834 1043 1008 1244 1512 1734 1213 1510 1847 2127 1378 1713 2092 2408 1550 1920 2342 2694 2092 2580 3136 3602 4119 4505 2314 2846 3453 3963 4529 4953 3287 3990 4582 5239 5733 3579 4337 4975 5685 6219 3877 4689 5374 5224 6137 6711 4491
81 69 86 103 107 127 167 127 167 213 253 198 260 333 396 198 260 333 396 198 261 333 396 285 375 480 570 672 750 285 375 480 570 672 750 427 546 649 765 854 427 546 649 765 854 427 546 649 570 765 854 511
231,269 265,344 303,358 331,998 216,973 262,430 300,814 343,674 375,994 245,036 295,858 338,808 386,806 423,027 305,593 370,339 425,095 486,331 532,575 394,026 472,485 538,922 613,316 669,562 630,844 720,523 821,045 897,121 1,084,322 805,914 910,929 1,028,744 1,117,982 1,337,847 1,032,894 1,169,143 1,322,113 1,438,060 1,724,041 1,983,133 2,279,533 1,210,476 1,367,419 1,543,737 1,677,461 2,007,598 2,307,085 2,650,168 1,785,655 1,938,424 2,315,887 2,658,693
11437 13581 16010 17868 8936 11437 13581 16010 17868 8936 11437 13581 16011 17868 13337 17071 20271 23897 26671 13341 17074 20274 23901 26674 24308 28865 34028 37977 47849 24321 28877 34040 37989 47861 33356 39606 46689 52105 65647 78147 92730 33357 39607 46690 52107 65648 78148 92731 46692 52109 65650 78150
5442 6243 7138 7812 4822 5832 6685 7637 8355 5159 6229 7133 8143 8906 6112 7407 8502 9727 10652 7164 8591 9799 11151 12174 10514 12009 13684 14952 18072 12399 14014 15827 17200 20582 14756 16702 18887 20544 24629 28330 32565 16140 18232 20583 22366 26768 30761 35336 22321 24230 28949 33234
654 776 915 1021 511 654 776 915 1021 511 654 776 915 1021 667 854 1014 1195 1334 667 854 1014 1195 1334 1080 1283 1512 1688 2127 1081 1283 1513 1688 2127 1334 1584 1868 2084 2626 3126 3709 1334 1584 1868 2084 2626 3126 3709 1868 2084 2626 3126
3,051,871 2,048,493 2,221,576 2,649,532 3,038,582 3,485,268 2,332,876 2,527,539 3,009,158 3,447,378 3,950,984 3,162,016 3,597,089 4,097,080 3,041,613 3,576,198 4,062,991 4,622,882 3,670,473 4,326,007 4,923,357 5,610,913 20,524 33,403 842,940 904,110 3,966,236 4,535,097
92733 46694 52110 65652 78151 92735 46695 52112 65653 78153 92736 65684 78184 92767 52146 65688 78187 92770 69389 87413 104050 123460 3258 11435 26705 33636 95767 95772
38148 24100 26136 31171 35748 41003 25921 28084 33435 38304 43900 35134 39968 45523 32017 37644 42768 48662 36705 43260 49234 56109 1173 1909 14409 16145 48966 52734
3709 1868 2084 2626 3126 3709 1868 2084 2626 3126 3709 2627 3127 3711 2086 2628 3127 3711 2523 3179 3784 4489 261 653 1335 1682 4256 4257
tf
Area 6.35 6.35 4.75 6.35 3.2 4.75 6.35 7.94 4.75 6.35 7.94 9.52 4.75 6.35 7.94 9.52 4.75 6.35 7.94 9.52 12.7 6.35 7.94 9.52 12.7 15.9 9.52 12.7 15.9 19.05 9.52 12.7 15.9 19.05 22.2 12.7 15.9 19.05 22.2 25.4
3.42 4.45 2.71 4 5.22 6.45 4.58 6.06 7.42 8.76 5.8 7.67 9.48 11.16 7 9.3 11.5 13.6 17.7 12.5 15.5 18.5 24.2 29.7 23.3 30.6 37.8 44.8 28.1 37.1 45.9 54.4 62.8 50 62 73.8 85.3 96.8
Gabarito Ix=Iy rz 22 4.58 22 5.83 25 5.41 25 7.5 25 9.57 25 11.2 28 11.7 28 14.6 28 17.5 28 20 35 23 35 29 35 35 35 41 44 40 44 50 44 62 44 75 44 91 64 125 64 154 64 183 64 233 64 279 76 362 76 470 76 566 76 653 90 641 90 828 90 1007 90 1173 90 1327 114 2022 114 2471 114 2899 114 3311 114 3702
rx=ry 0.74 0.74 0.89 0.89 0.86 0.86 1.02 0.99 0.99 0.99 1.24 1.24 1.24 1.22 1.5 1.5 1.5 1.47 1.47 2.01 2 2 1.98 1.96 2.51 2.49 2.46 2.46 3.02 3 2.97 2.97 2.97 4.01 4.01 3.99 3.96 3.96
1.17 1.15 1.4 1.37 1.35 1.35 1.58 1.55 1.53 1.5 1.98 1.96 1.93 1.91 2.39 2.36 2.34 2.31 2.29 3.18 3.15 3.12 3.1 3.05 3.94 3.91 3.86 3.81 4.78 4.72 4.67 4.65 4.6 6.38 6.32 6.27 6.22 6.2
AÇO CSN COR 420 CSN COR 500 COS AR COR 400 COS AR COR 400E COS AR COR 500 COS CIVIL 300 COS CIVIL 350 USI-SAC-250 USI-SAC-300 USI-SAC-350 USI-SAC-450 USI-CIVIL-300 USI-CIVIL-350 USI-FIRE-300 USI-FIRE-350 ASTM A 36 ASTM A 572 Gr 50
DiametroParafuso 1/2" 5/8" 3/4" 7/8" 1" 1.1/8" 1.1/4" 1.3/8" 1.1/2"
Fy (MPa) 300 380 250 300 375 300 350 250 300 353 461 300 350 300 350 250 345
Fu (MPa) 420 500 400 400 500 400 490 400 402 490 570 400 450 400 500 400 450
dp 12.7 16 19 22.2 25.4 28.6 31.8 35 38.1
Aço Parafuso ASTM A-307 ASTM A-325 ASTM A-490
Chapa 3/16 1/4 5/16 3/8 1/2 5/8 3/4 7/8 1 1 1/4 1 1/2 1 3/4 2 2 1/4 2 1/2 3 3 1/2 4
FyPar 635 895
FuPar 415 825 1035
t 4.75 6.35 8 9.5 12.7 16 19 22.4 25.4 31.5 37.5 45 50 57 63 76 89 102
kg/m² 37.38 49.46 62.8 74.59 98.13 125.6 149.15 175.84 196.25 246.96 294.38 353.25 392.5 447.44 494.55 596.6 698.65 800.7
