NBR 06591 1981 Tubos de Aço Carbono com Costura de Seção Circular Quadrada Retangular e Espec

Prévia do material em texto

TUBOS DE AC0 CARBON0 COM COSTURA DE SEChO CIRCULAR, 
OUADRADA. RETANGULAR E ESPECIAIS PARA 
FINS INDUSTRIAIS 
Eppecif ica@o 
01.014 
NBR 6591 
ABW1981 
SUMARIO 
1 Objetivo 
2 Normas e documentor complementares 
3 Condi@s gerais 
4 Condiq&x especificar 
5 I nwo 
6 Aceita@o e reieiqio 
ANEXO - Tabelas 
Origem: ABNT EB-952/80 
CB-I = Camitd Brasileiro de Minera+% B Mnalurgia 
CE-1:22.09 - Comirdo de Estudo de Produtos Tubularer de Aqo 
SISTEMA NACIONAL DE 
METROLOGIA. NORMALIZACAO 
E QUALIDADE INDUSTRIAL 
ABNT - ASSOClAChO BRASILEIRA 
DE NORMAS TECNICAS 
CG 
Pa,a”,as~cha”e: tuba “P carbolw NBR 3 NORMA BRASILEIRA REGISTRADA 
CD”: 669~46:669.141.3 Todos os dir&or rasrvmfor 27 Psginar 
2 NBR 6591/1981 
3 CONOlCdES GERAIS 
3.1.1 OS tubas desta Norma S&I designados pela forma e dimens&s de sua se&. 
3.1.2 0s aqos utilizados na fabrica@ dos tubas s%o classificados pela 5ua corn_ 
posi$o quimica, conformc Tabela 1 do Anexo, tratamento L&rmica e propriedades - 
meca^nicas. 
3.1.2.1 OS tubas sao classificados em duas categorias: 
a) tubas formados a frio, a partir de tiras laminadas a quente(FFBQ); 
b) tubas formados a frio, a partir de tiras laminadas a frio (FFBF). 
3 . 2 Frrbr%xz;-cr<: 
3.2.1 OS tubas tom costura devem ser fabricados a partir de chapas laminadas de 
aso e soldados por processo automatico de solda continua sem adiqao de material. 
3.2.2 Tubas corn dimensoes e formas diferentes das indicadss nesta Norma podem 
ser fabricados por acordo entre o comprador Ed fabricante. 
3.3 :.;a tepia z 
3.3.1 0 a$~ carbono empregado na fabrica$o destcs tubas deve ser obtido por um 
dos seguintes processes: 
a) Siemens-Martin; 
b) bssico ao oxig&io; 
c) forno eletrico. 
3.3.2 OS a$os utilirados na fabricaqao dos tubas estao definidos na Tabela 1 do 
Anexo, conforme pad&s da NBR 6006. 
Na ordem de compra, Segundo esta Norma indicar: 
a) ncmero desta Norma; 
b) a quantidade pedida (metros, kmero de tubas ou qui logramas) ; 
c$ grau do a$~; 
d) forma de se@; 
e) dimensoes da se$ao em mm; 
f) espessura da parede em mm; 
g) comprimento (fixo ou de fabricay$o em meLros); 
h) acabamento da extremidade; 
i) use a que Go destinados 05 tubas, a titulo informative; 
j) estado Deb fornecimento dos tubas; 
1) prote+o anti-corrosiva; 
m) requisites adicionais ou exce@es a esta Norma. 
NBR 6591/1991 3 
A se$o transversal dos tubas deve ser uniforme can o formato esrabelecido na 
ordem de compra. 
3. 5.2 R~ti!~i,:&fa&? 
OS tubas devem 5er retos confornie indicado em 3.7.9. 
3 .5 .3 ~~tm?:rii&&it.- 
0 acabamento das extremidades deve set' conforme estabelecido na ordem de compra. 
3 * 5.4 hpmhl 
OS tubas de segao quadrada e retangular devem ter scus lados adjacentes forman- 
do urn angulo reto conforme indicado em 3.7.6. 
3 _ 6 &f&tus -~~~~jel~~~~~~l'ais 
As dime~nsoes dos tubas desta Norma dcvem estar de acordo corn o determinado na 
ordem de compra. As tolerancias devem estar de acordo corn as Tabelas 2, 3, 4 e 
5, 'do Anexo. 
3.7.1 ccqq ':!m % 0 
05 tubas sao fornecidos nos seguintes comprimentos: 
a) comprimento normal de fabrica$o de (6,00 + 0,lO) m; - 
b) conprimentos m;ltiplos corn 05 respectivos acr&cimos para cortex prc - 
vistas na ordem de compra e afastamentos, conforme Tabe~la 4. do Anexo; 
c) comprimentos fixes espccificados na ordem de compra corn OS afastamen - 
tos estabelecidos na Tabela 4, do Anexo. 
3.7.2.1 As espessuras devcm ser a5 indicadas nas Tabelas 6, 7 Ed 8, do Anexo. 
3.7.2.2 OS afastamcntos nas espessuras de parede devem ser 05 constantes da Ta- 
bela 2, do Anexo. 
3 . 7 _ 3 ~inerzs&s ~z?;erv~ms 
Estas dimensks devem estar de acordo corn a ordem de compra e seu~ afastamentos 
devem atender a Tabela 3, do Anexo. 
3 -7. 4 A Ifxrw i,:tcr,z~ & cu17&g & so I& 
3.7.4.1 Altura normal: tubos cuja altura interna do cord% de solda seja a me- 
nor- entre a espessura da parede e 2,4 mm. 
4 NBR 6591/1981 
3.7.4.2~ Altura limitada: tubas cuja altura interna do cordao de solda seja no 
maxim0 0,25 mm au 0,13 mm, conforme especificado na ordem de compra. Esta condi- 
$0 6 apl icave a tubas corn dimensao externa superior a 28 mm. 
3 . 7 . 5 b&‘Lsu 
3.7.5.1 OS tubas devem ter a massa teorica indicada nas Tabelas 6, 7 e 8, do 
Anexo. No case de tubas de se& especial a massa teorica 6 calculada pela formu 
la: 
M = 7.85 x 1O-3 x St 
Onde: M = massa em kg/m 
St = 5rea de se$o em mm2 
3.7.5.2 Nas diferengas entre as massas par metro real e teorica calculada, sao 
admitidos os afastamentos + lo%,. - 
3 . 7 . 6 ES~~LCZ&Y~ d3.9 ii~cIcis 
Para 05 tubas de sc$ao quadrada e retangular 05 lados adjacentes podem desviar- 
-se de mais ou mcnos dois graus do angulo reto. 
3 _ 7. 7 .?&2 tlt‘tel’,x &x4 ci,?;t<x 
Para 05 tubas de secao quadrada e retangular o raio externo de qualqucr dos can- 
toe Go deve exceder de tres vezes a espessura da parede. 
3 . 7 . a _ ~<;*yQ 0 
Entende-se por tor$ao o valor do deslocamento da aresta longitudinal do tuba em 
rela~ao ao piano horizontal medido a 1 m de distancia de sua extremidade fixa.Pa - 
ra os tubas de scgao quadrada e retangular, a variaq~ao do alinhame~nto axial da 
sc$o do tubo tern coma valores &ximos admissiveis 05 estabelecidos na Tabela 5, 
do Anexo. 
3~. 7 . y &? tl’li,~si~~~~~i~~ 
0 miximo desvio da retilineidade dew. ser 2,s mm por metro de comprimento pa ra 
tubas can dimensao externa maior que 15 mm. 
3.7.9.1 OS tubas corn dimcnsao externa entre 9 mm e 15 mm nao tern garantia de 
perfeita retilineidade, sendo verificado visualmente. 
3 .8 &zl,rr~<:<q:& e e&zlapm 
As embalagens, amarrados, cngradados e caixas devem canter em forma legivel as 
seguintes caracteristicas: 
a) numero desta Norma; 
b) nome e marca do fabricante; 
c) dimensoes externas do tubo, espessura da parcde e comprimento em mm; 
d) massa dos tubos por embalagens em kg. 
NBR 659111981 5 
6 NBR 6591/1981 
neira: por op@~ do comprador, OS cavacos pan anilise podem ser retirados do tu - 
bo acabado de cira ou do corps de prova util izado para o ensaio de trasso. A w.- 
traq.Zo de cavacos 6 feita no semi-tuba, oposto a solda, de maneira que represen- 
te toda a espessura da parede. 
OS corpos de prow deem ter 100 MI de comprimento. 
OS rorpos de prove devem ter 100 mm de comprimento. 
b) a dire$ao da forga apl icada ao corpo de prova 6 normal ao piano dia- 
metral que passa na linha de solda; 
c) este ensaio SC realiza cm duas etapas. Na primeira etapa, CJ corpo de 
prova I? achatado ate que a dista^ncia entre placas se~ja de 213 do dia - 
mentro externo, 60 devendo ocorrer trincas ou fraturas na solda. Na 
segunda etapa achata-se o corpo de prova, at; que a disteincia entre 
placas seja de l/3 do digmetro externo do tuba. Nesta etapa “so de- 
van surgir trincas ou fraturas no mate~rial fora da regiao da solda. 
,v~~cz: A distancia final cntre placas nao devc ser inferior a cinco ve~zes a es- 
pcssura da parede do tuba. Durante o ensaio nao deve~m ocorrer evid&cias - 
de esfol heanento, material queimado ou vestigios de escoria. 
5.4.2.2 0 ensaio de alargamcnto se realira de acordo corn a NBR 6206 par meio 
de urn cowz de expansao cuja geratriz seja de 30° ate que o diametro interno do 
tubo expanda de 15F&, ~~ xm apresentar trincas ou fraturas. 
NBR 6591/1961 7 
6 ACEITACAO E REJEIC~O 
6.1 Somente & accito o late que atender "OS ensaios todos OS requisites desta 
Norma. 
6.2 NO cam de reensaio, somente se aceita o late se todos 05 ensaios atenderem 
aos rcquisitos desta Norma. Se algum reensaio n% cumprir COK o especificado, o 
late dcve ser rcjeitado. 
6.3 0 fabricante pode, a xu arbitrio, ensaiar cada tuba do late, aceitando to- 
dos OStubas que cumprirem corn 05 requisites estabelecidos. 
NBR 6591/1991 
NBR 6591/1981 9 
ANEXO - TABELAS 
TABELA 1 - Composi$Zo qUimiCa 
Tipa de 
aP 
(NBR 6006) 
1006 
1008 
1010 
1015 
1016 
1020 
1021 
1025 
1026 
T- 
I 
A&lie da corrida em perccntagem (lz;) 
c 
0,08 m:x 
0,lO max 
0,08/0,13 
0.13/0,18 
0,13/0,18 
0,18/0,23 
o,18/0,23 
0,22/0,28 
0,22/0,28 
0,25/0,45 
0,25/0,5o 
o,30/0,6o 
o,30/0,6o 
0,6o/o,go 
o,3o/o,6o 
o,6o/o,Yo 
o,3o/o,6o 
0,60/0,90 
0,04 max 
0,04 max 
0,04 m.& 
0,04 m.Sx 
0,04 m5x 
0,04 m-5x 
0,04 Gx 
0,04 In& 
0,04 m.Sx 
TA9ELA 2 - Afastamcnton na espessura da parede 
S 
0,05 mix 
0,05 max 
0,05 max 
0,05 meix 
0,05 mix 
0,05 miix 
0,05 man 
0,05 nGx 
0,05 max 
Categoria Afastamentos 
FFBF + 7,5% da espessura nominal especificada 
FFBQ + lO:L da espessura nominal especificada 
TABELA 3 - Afastamento na dimerGo externa de tuba FFBQ e FFBF 
Dismetro externo 
(nun) 
Por exces50 (+) -r Pot- falta (-) 
FFBQ FFBF FFBQ FFBF 
0,lO 
0,20 o,15 
0,25 0,20 
0,30 0,25 
0,35 0.30 
0,40 0,35 
o,45 0,40 
v~,+;~~~.- a) as mediqGes das dimens& externas devem ser feitas a pelo n,en~s 100 mn, A, ,-. .~~. Y . 
das extremidades do tuba; 
s 15 
i 15es 40 
> 40 c ,c 63 
> 63 e < 90 
> yoe<100 
> 100 e < 127 
> 127 e s 168,3 
0,20 
o,25 
o,3o 
o,35 
0,40 
o,45 
0,lO 
0.15 
0,20 
0,7.5 
O,3O 
0,35 
0,40 1 
b) excluindo o tuba dc seqao circular, OS afastamentos r~as dimens& exter 
nas inclucm a margem para o abaulamento, convexidadc ou concavidade. - 
10 NBR 6591/1981 
TABELA 4 - Afastamentos dor comprimentos fixos e mi.dtiplos 
+ 20 mm + 25mn 
- 0 0 
TABELA 5 - Tor.+~ mhima para tubas de se@h quadrada, retangular e especiais conforme Figura 
Dimenshes (mm) do lado maior Tor~$o maxima em mm/m (V) 
4 38,O I,30 
> 38,0 e ,< 63,5 l,50 
> 63,5 e < lOl,6 1 ,YO 
> 101,6 e < l52,'+ 2,20 
> 152,'~ e < l68,3 2,50 __ --- -- -_-. : i 
I I 
I 1 l.EJ$, I I ! I _---- I 4,; --. . . --- - - -3, 
FIGIJRA - Medida da to+% 
NBR 6591/1981 11 
9.52 
l 
9;52 
l 9.52 
l 12.70 
* 12.70 
l 12.70 
I 12.70 
l 15.87 
= 15.87 
* 15.87 
* 1587 
* 15.87 
f 19.05 
f 19.05 
* 19.05 
* 19.05 
l 19,05 
* 19,05 
l 20.70 
* 20.70 
* 20.70 
* 20;70 
l 20.70 
l 20.70 
* 20.70 
21.30 
21.30 
21.30 
l 21.30 
* 21.30 
* 21.30 
* 21.30 
l 22.22 
l 22.22 
= 22.22 
l 22.22 
* 22.22 
l 22;22 
22.22 
l 25.40 
l 25.40 
* 25.40 
* 25.40 
* 25.40 
l 25.40 
l 25.40 
TABELA 6 - Dimen&r para tubor de se& circular 
ESpeSSUWJ 
(El 
(mm) 
Area 
(cm21 
- 
I Momenta de Moment0 
in&a resistente 
(cm4) (cm31 
MXS 
(kg/m) 
0.90 0.24 0.02 0,048 0.31 0.19 
1 ,oo 0.27 0.03 0,052 0.31 0.21 
1.20 031 0.03 0,058 0.30 0.25 
0.90 0,33 0.06 0,092 0,42 0.26 
1 ,oo 0,37 0,06 0,100 0.41 0.29 
1,20 0.43 0.07 0,114 0,41 0.34 
1.50 0.53 0.08 0.133 0.40 0.41 
0.90 0.42 0.12 0,150 0.53 0.33 
1 ,oo 0.47 0.13 0,163 0.53 0.37 
1.20 0.55 0.15 0,189 0.52 0.43 
1.50 0.68 0.18 0,223 0.51 0.53 
2,00 0.87 0.21 0,270 0.50 0.68 
0.90 0.51 0.21 0,222 0.64 0,40 
1 ,oo 0.57 0.23 0,243 0.64 0.45 
1.20 0.67 0.27 0,283 0.63 0.53 
1,50 083 0.32 0,337 0.62 0.65 
2.00 1.07 0.40 0,414 0.61 0.84 
2.25 1.19 0.43 0,448 0,60 0.93 
0,90 0.56 0,28 0,266 0.70 0.44 
1 .oo 0.62 0.30 0,291 0.70 0.49 
1.20 0.74 0.35 0.339 0.69 0.58 
1.50 0,90 0.42 0.405 0.68 0.71 
2po 1 .17 0.52 0,502 0.67 0.92 
2,25 1.30 0,56 0,544 0.66 1.02 
2.69 160 0.63 0,604 0,65 1,18 
0.90 0.58 0.30 0,282 0.72 0.45 
1 PO 0.64 0.33 0.309 0.72 0,50 
1.20 0.76 ‘Jr38 0,361 0.71 0.59 
1.50 0.93 0,46 0,432 0.70 0.73 
2.00 1.21 0.57 0,536 0.69 0.95 
2.25 1,35 0.62 0,582 0.68 1.06 
2,65 1.55 0.69 0,647 0,67 1.22 
ago OW 0.34 0,309 0.76 0.47 
I.00 0.67 0.38 0,338 0.75 0.52 
1,20 0.79 0.44 0,395 0.75 0.62 
1.50 0.98 0.53 0,474 0.73 0.77 
2.00 1.27 0,66 0.590 0.72 1 ,oo 
2.25 1.41 0.71 0,641 0.71 1.11 
2.65 1.63 0.79 0,715 0.70 1.28 
0.90 0.69 0.52 0,410 0.87 0.54 
1.00 0,77 0.57 0.450 0,86 0.M) 
1.20 0.91 0.67 0.527 0.86 0.72 
1.50 1.13 0.81 0,636 0.85 0.88 
2.00 1.42 1.01 0,798 0.83 1,15 
2.25 I,64 1.11 0,871 0.82 1.28 
~~ 2.65 1.89 1.24 0,978 0.81 1.49 
iy 
Continua 
12 NBR659ll1981 
TABELA6- Dimen~eesparatubosdese~~circular 
DiSmetro 
externo 
Imml 
26.67 
26.67 
= 26.67 
* 26.67 
* 26.67 
* 26.67 
* 26.67 
* 28.60 
l 28.60 
* 28.60 
28,60 
28.60 
28,60 
28.60 
l 31.75 
l 31.75 
l 31.75 
" 31.75 
* 31.75 
* 31.75 
l 31.75 
= 31.75 
33.40 
33.40 
33.40 
* 33.40 
l 33.40 
* 33.40 
l 33.40 
* 33,40 
* 33,40 
l 34.90 
l 34.90 
l 34.90 
* 34.90 
* 34.90 
* 34.90 
* 34.90 
34.90 
34.90 
l 38.10 
l 38.10 
* 38.10 
l 38.10 
* 38.10 
l 38.10 
. 38,lO 
l 38.10 
l 38.10 
41.27 
41.27 
41.27 
41.27 
41.27 
41.27 
41.27 
41.27 
41.27 
41.27 
1PJ 0.81 0.67 0,499 0.91 0.63 
1.20 0.96 0.78 0,585 0.90 0.75 
1.50 1.19 0.94 0,707 0.89 0.93 
2.00 1.55 1.19 0,890 0.88 1.22 
2.25 1.73 1.30 0,973 0.87 1.36 
2.65 2.00 I,46 1,095 0.85 1.57 
3.00 2.23 1.59 1,190 0.84 1.75 
1.00 0.87 0.83 0,578 0.97 0.69 
1.20 1.03 0.97 0,679 0.97 0.81 
1.50 1.28 1.18 0,822 0.96 1.00 
2.00 1.67 1,49 1,040 0.94 1.31 
2.25 1.86 1,63 1,139 0.94 1.46 
2.65 2.16 1.84 1,285 0.92 1.70 
3.00 2.41 2.00 1,401 0.91 I.89 
0.90 0,87 1.04 0,654 1.09 0.68 
1.00 0.97 1.14 0,720 1.09 0.76 
1.20 1.15 1.35 0,848 1.08 0.90 
1.50 1.42 1.64 1,030 1.07 1.12 
2.00 1.87 2.08 1,309 1.05 1.47 
2.25 2.09 2.28 1,437 1.04 1.64 
2.65 2.42 2.59 1,629 1.03 1.90 
3.00 2.71 2.83 1,783 1.02 2.13 
1.00 1.02 1.34 0,801 1.14 0.80 
1.20 1.21 1.58 0,943 1.14 0.95 
1.50 1.50 1.92 1,148 1.13 1.18 
2.00 1.97 2.44 1,462 1,ll 1.55 
2.25 2.20 2.69 1,608 1.10 1.73 
2.65 2.56 3.05 1,825 1.09 2.01 
3.00 287 3.34 2,001 1.08 2.25 
3.35 3.16 3.61 2,164 1.07 2.48 
3.75 3.49 3,90 2.330 1.06 2,74 
lpo ID6 1.53 0,877 1.20 084 
1.20 1,27 1.81 1,035 1.19 1 ,oo 
1.50 1.57 2.20 1,260 1.18 1,24 
2.00 2,07 2.81 1,609 1.16 1.62 
2.25 2.31 3.09 1,771 1.16 1.81 
2.65 2.68 3.51 2,014 1.15 2.11 
3.00 3.01 3.86 2,211 1.13 2.36 
3.35 3.32 4.18 2,394 1.12 2.61 
3.75 3.67 4,52 2,588 1.11 2,88 
1.00 1.17 2.01 1,053 1.31 og1 
1.20 1.39 2.37 1.244 1.31 1.09 
1.50 1.72 2.89 1,519 1.30 1.35 
2.00 2.27 3.71 1,946 1.28 1,78 
2,25 2.53 4.09 2,145 1.27 1.99 
2.65 2.95 4.66 2,447 1.26 2.32 
3.00 3.31 5.13 2,694 1.25 2.@3 
3.35 3.66 5.57 2,925 1.23 2.87 
3,75 4.05 6.04 3,170 1,22 3.18 
1.00 1.27 2.57 1,244 1.42 0.99 
1.20 151 3.04 1,471 1.42 1.19 
1.50 1.87 3.71 1,798 1.41 1.47 
2.00 2.47 4.77 2,311 1.39 1.94 
2.25 2.76 5.27 2,552 1.38 2.17 
2.65 3,21 6,02 2,919 1.37 2.52 
3.00 3.61 6.64 3,220 1.36 2.83 
3,35 3.99 7,23 3,503 1.35 3.13 
3.75 4.42 7.86 3,807 1.33 3.47 
4.25 4.94 8.58 4.158 1.32 3.88 
4rea 
km21 
vlomentode Momenta 
in&& resistente 
(cm41 (cm31 (kg/m) 
Continua 
NBR 659111961 13 
himetro 
C%Ct~~"O 
(mm) 
Espeaura 
(E) 
(mm) 
Area 
km2) 
rlomentode Momenta Raiode 
inhrcia resistente gira+ 
(cm4) km3) (cm) 
42.16 1.00 1.29 2.74 
42.16 1.20 1.54 3.24 
42.16 1.50 1.92 3.97 
l 42.16 2.00 2.52 5.10 
l 42.16 2.25 2.82 5.64 
* 42.16 2.65 3.29 6.45 
l 42.16 3.00 3.69 7.12 
l 42.16 3.35 4.09 7.75 
* 42.16 3.75 4,53 8.42 
42.16 4.25 5.06 9,21 
* 44.45 1.00 1.37 3.22 
* 44.45 1.20 1.63 3.82 
l 44.45 1.50 2.02 4.67 
l 44.45 2.00 2.67 6.02 
* 44.45 2.25 2.98 6.65 
= 44.45 2.65 3.48 7.63 
* 44.45 3.00 3,91 8.43 
* 44.45 3.35 4.33 9.19 
* 44.45 3.75 4.80 10.01 
44.45 4.25 5.37 10.96 
l 47.60 1 ,oo 1.46 3.98 
= 47.60 1,20 1.75 4.71 
* 47.60 1.50 2.17 5.78 
= 47.60 2.00 2.87 7.46 
l 47.60 2.25 3.21 8.26 
* 47.M) 2.65 3.74 9.48 
l 47.60 3.00 4.20 10.50 
* 47.60 3,35 4,66 11.46 
* 47.60 3.75 5.1712.51 
47.60 4.25 5.79 13.73 
47.60 4.50 6.09 14.30 
47.60 4.75 6.39 14.86 
46.26 1.00 1,48 4.15 
46.26 1.20 1,77 4.91 
48.26 1.60 2.20 6.03 
* 48,26 2.00 2.91 7.79 
* 48.26 2.25 3.25 8.63 
l 46.26 2.65 3.80 991 
* 48.26 3.00 4.27 10,97 
* 48.26 3.35 4.73 11.98 
l 48.26 3.75 5.24 13.08 
46.26 4.25 588 14.36 
46.26 4.50~ 6.19 14.97 
48.26 4,75 6.49 15.55 
* 50.80 lpo 1.56 485 
l 50,80 1.20 1.87 5.75 
l 5080 1.50 2.32 7.07 
l 50.80 2.00 3.07 9.14 
* 50.80 2.25 3.43 10.13 
l 50.80 2.65 4,Ol 11.65 
= 50.80 3.00 4.51 12.92 
= 50.80 3.35 499 14.12 
l 50.80 3.75 5.54 15.44 
* 50.80 4.25 6.22 16.98 
* 50.80 4.50 6.55 17.71 
* 50.80 4.75 687 18.41 
l 5080 5.00 7,19 19,09 
57.15 1 ,oo 1.76 6.95 
* 57.15 1.20 2.11 8.26 
* 57.15 1.50 2.62 10.16 
iABELA 6 - Dimendes paratuborde s&b circular 
1,300 1.46 1.02 
1,538 1.45 1.21 
1,881 1.44 150 
2,419 1.42 1.98 
2,673 1.41 2.21 
3,058 1.40 2.58 
3,376 1.39 2.90 
3,675 1.38 3.21 
3,996 1.36 3.55 
4,368 1.35 3,97 
1,450 1.53 1.07 
1,717 1.53 1.28 
2,102 1.52 1.59 
2,710 I.50 2.09 
2,996 1.49 2.34 
3,433 1.48 2.73 
3,795 1.47 3.07 
4,137 1.46 3.40 
4,505 1.44 3.76 
4,933 1.43 4.21 
1,670 1.65 1.15 
1,979 1.64 1.37 
2,427 1.63 1.71 
3,135 1.61 2.25 
3,471 1.60 2.52 
3,985 1.59 2.94 
4,411 1.58 3.30 
4,817 1,57 3.66 
5,255 1.56 4.06 
5,766 1.54 4.54 
6,009 1.53 4,78 
6,242 1.52 5.02 
17.19 1.67 1.17 
2,037 1.67 1.39 
2,498 1.66 1.73 
3,228 1.64 2.28 
3,575 1.63 2,55 
4,106 1.61 2.98 
4,546 l,@J 3.35 
4,966 1.59 3.71 
5,420 1.58 4.12 
5,951 1.56 4.61 
6,202 1.55 4.86 
6,443 1.55 5.10 
19.10 1.76 1.23 
2,265 1.75 1.47 
2.781 1,74. 1.82 
3,600 1.73 2.41 
3,989 1.72 2.69 
4,587 1.70 3.15 
5,086 1.69 3.54 
5,561 1.68 3.92 
6.077 1.67 4.35 
6,683 1.65 4,88 
6,971 1.64 5.14 
7,248 1.64 5.39 
7,515 1.63 5.65 
2,434 1.99 1.38 
2,890 1.98 1.66 
3,555 1.97 2.06 
Continua 
14 NBR 6591/1981 
Diemetro 
externo 
(mm) 
* 57.15 2.00 3.47 13.19 4,616 1.95 2.72 
* 57,15 2,25 3.68 14.65 5,125 1.94 3,05 
* 57.15 2,65 4.54 1689 5,910 1.93 3.56 
l 57.15 3.00 5.10 18.76 6,566 1.92 4.01 
l 57.15 3.35 5.66 20.57 7,197 1.91 4.44 
* 57.15 3.75 6.29 22.54 7,886 1.89 4.94 
57.15 4.25 7,07. 24.87 8.702 1.88 5.54 
57.15 4.50 7.44 2588 9,092 1 .a7 5.84 
57.15 4.75 782 27.06 9,470 1.86 6.14 
57.15 5.00 8.19 28.10 9,835 1.85 6.43 
60.33 1.20 2.23 9.75 3,231 2.09 1,75 
60.33 1.50 2.77 12,00 3,979 2.08 2.18 
* Liu,33 2.00 3.66 15.61 5,173 2.06 288 
* 60.33 2,25 4.11 17.34 5,747 2.05 3.22 
* 60.33 2,65 480 20.01 6,634 2.04 3,77 
" 60.33 3.00 5.40 22.26 7,379 2.03 4.24 
* 60.33 3.35 6,00 24.42 8,096 2.02 4.71 
* 60.33 3.75 6.67 26.79 8,881 2.00 5.23 
* 60,33 4.25 7.49 29.61 9,814 1.99 5.86 
* 60.33 4.50 7.89 30.95 10,261 1.98 6,20 
* 60,33 4.75 8.29 32.26 10,695 1.97 6.51 
" 60.33 5.00 8.69 33.53 11,116 1.96 8.62 
* 60.33 5.60 9.63 36.43 12,077 1.95 7.56 
l 63.50 1.20 2.35 11.40 3,590 2.20 1.84 
* 63.50 1.50 2.92 14.05 44.24 2.19 2.29 
* 63.50 2.00 3.86 18.29 57.60 2.18 3.03 
= 63.50 2.25 4.33 20.33 6,403 2.17 3.40 
* 63.50 2.65 5.07 23.49 7,399 2.15 3.98 
* 63.50 3.00 5.70 26,15 8,237 2.14 4.48 
* 63.50 3.35 6.33 26.72 9,045 2.13 4.97 
* 63.50 3.75 7.04 31.54 9,933 2.12 5.52 
* 63.50 4.25 7.91 34.90 10,990 2.10 6.21 
" 63.50 4.50 8.34 36.51 11,498 2.09 6.55 
* 63.50 4.75 8.77 38.07 11,991 2.08 6.88 
* 63.50 5.00 9.19 39.61 12,471 2.08 7,21 
l 63.50 5,60 10.19 43.09 13,570 2.06 8.00 
69.85 1.20 2.59 15.25 4,367 2.43 2.03 
69.85 1.50 3.22 16.82 5,388 2.42 2,53 
69,85 2.00 4.26 24.55 7,030 2,40 3.35 
69.85 2.25 4.78 27.33 7,824 2.39 3,75 
6985 2.65 5.59 31.63 9,056 2.38 4.39 
69.85 3,OO 6.30 35.27 10,098 2.37 4.95 
69.85 3.35 7.00 38.79 11,105 2.35 5.49 
69.65 3.75 7.79 42.67 12,217 2.34 6.11 
69.85 4.25 8.76 47.31 13,547 2.32 6.88 
69.85 4.50 9.24 49.55 14,188 2.32 7.25 
69.85 4,75 9.71 51.74 14814 2.31 7.63 
69,85 5.00 10.19 53.87 15,424 2,30 8.00 
69.85 5.60 11.30 58.77 16,827 2.28 8.87 
73.00 1.20 2.71 17.45 4,780 2.54 2.12 
73.00 1.50 3.37 21.54 5,902 2.53 u4 
73.00 2.00 4.46 28.13 7.708 2.51. 3.50 
73.00 2.25 5.06 31.32 8,582 2.50 3.93 
73.00 2.65 5.66 36.28 9.941 2.49 4.60 
73,00 3.00 6.60 40,48 11,091 2.48 5.18 
73.00 3.35 7.33 44.55 12,206 2.47 5.75 
73.00 3.75 6.16 49.05 13.438 2.45 6.40 
73.00 4.25 9.18 54.44 14,915 2.44 7.21 
73.00 4.50 9.68 57.05 15,629 2.43 7.60 
73.00 4,75 10.18 59.59 16.326 2.42 7.99 
Area 
(cd 
hmentode 
in&cia 
(cm4) 
Momenta 
resistente 
h-l3) 
Raio de 
Sira+ 
(cm) 
klarsa 
lkS/m) 
Continua 
NBR6591/1981 15 
Diimetro irpemra 
externo (El 
(mm) (mm) 
l 73.00 
73.00 
73.00 
f 73.00 
76.20 
76,20 
76.20 
76.20 
* 76.20 
* 76.20 
* 76.20 
* 76.20 
* 76.20 
* 76.20 
* 76.20 
* 76.20 
76,20 
76.20 
76;20 
88.90 
88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
* 88.90 
88,90 
101.60 
* 101.60 
* 101.60 
* 101.60 
* 101.60 
l 101.60 
* 101.60 
* 101.60 
l 101.60 
* 101.60 
101.60 
* 101.60 
1Ol.M) 
101.60 
* 101.60 
l 114.30 
* 114.30 
* 114.30 
l 114.30 
* 114.30 
* 114.30 
l 114.30 
* 114.30 
* 114.30 
l 114.30 
l 114.30 
l 114.30 
* 114.30 
TABELA6- Dimenr6erparatubosde~o circular 
Area lassa 
(cm2) 
Momentode 
in&cia 
(cm4) 
Momenta 
reristente 
km31 
Raio de 
gira@a 
Icm) kg/m) 
5.00 10.68 62.07 17,006 2.41 8.38 
5.60 11.86 6780 18,575 2.39 9.31 
6.30 13.20 74.07 20,293 2.37 0.36 
7.11 14.72 80.80 22.137 234 1.55 
1.20 2.83 19.89 5,219 2,65 2.22 
1.50 3,52 24.56 6,447 29 2.76 
2.00 4,66 32.11 8,427 2.63 3.66 
2.25 5.23 35.77 9,387 2.62 4.10 
2.65 6.12 41.26 10,882 2.60 4.81 
3.00 6.90 46.29 12,148 2.59 5.42 
3.35 7.67 50.97 13,378 2.58 6.02 
3.75 8.54 56.15 14,738 2.56 6.70 
4.25 9.61 62.38 16,373 2.55 7.54 
4.50 10.14 65.39 17.184 2.54 7.96 
4.75 10.66 6834 17,937 2.53 8.37 
5.00 11.18 71.22 18,693 2,52 8.78 
5,60 12.42 77.87 20,439 2.50 9.75 
6.30 13.83 85.18 22,357 2.48 10.86 
7.11 15.43 93.06 24,424 2.46 12.10 
1.50 4.12 39.34 8,850 3.14 3.23 
2ml 5.48 51.57 11,601 3.14 4.29 
2.25 6.12 57.52 12,941 3.07 4.81 
2.65 7.18 66.83 15,036 3.05 5.64 
3.00 8.10 74.76 16,820 3.04 6.35 
3.35 9.00 82.49 18,559 3.03 7.07 
3.75 10.03 91.09 20,493 3.03 7.87 
4.25 11.30 101.49 22,832 3.00 8.87 
4.75 12.56 111.51 25,086 2,98 9.86 
5.00 13.18 116.38 26,181 2.97 10,34 
5.60 14.66 127.69 28,726 2.95 11.50 
6.30 16.35 140.24 31,549 2.93 12.83 
7.11 18.27 153.92 34.628 2.90 14.34 
WC’ 20.33 167.97 37,788 2.87 15.96 
1,50 4.72 59.09 11.633 3.54 3.70 
2.00 6,26 77.63 15,282 3.52 4.91 
2.25 7.02 86.69 17,065 3.51 5.51 
2.65 8.24 100.89 19,861 3.50 6.47 
3.00 9.29 113.03 22.250 3.49 7.29 
3.35 10.34 124.91 24,589 3.48 a.12 
3.75 11.53 138.17 27,198 3.46 9.05 
4.25 13.00 154.27 30,368 3.44 10.20 
4.50 13.73 162,13 31,915 3,44 10.78 
4.75 14.45 169.86 33,437 3.43 11.34 
5.00 15.17 177.47 34,934 3.42 11.91 
5.60 16.89 195.22 38,430 3.40 13.26 
6.30 18.86 215.06 42,335 3.38 14.81 
7.11 21.08 236.88 46,631 3.35 16.57 
8.00 23.52 259.50 51,082 3.32 18,47 
2.25 7.92 124.35 21.758 3.96 6.22 
2.65 9.30 144.92 25,357 3.95 7.30 
3.00 10.49 162,55 28,442 3.94 8.23 
3.35 11.68 179.84 31,460 3.92 9.17 
3,75 13.02 199.19 34,853 3.91 IO,22 
4.25 14.69 222.77 38,980 3.90 11.53 
4.50 15.52 234.32 41,000 3.89 12.16 
4.75 16.35 245.70 42,992 3.88 12.83 
5.00 17.17 256,92 44,955 3.87, 13.48 
5.60 19.12 283.19 49,553 3.85 15.01 
6.30 21.38 312.71 54,718 3.82 16,78 
7.11 23.94 345.38 60,434 3.80 18.79 
8.00 26.72 379.49 66,402 3.77 20.97 
Continua 
127.00 2.25 8.82 171.59 27,023 4.41 
127.00 2.65 10.35 zoo,19 31,526 4po 
l 127.00 3.00 11.69 224.75 35,394 4.38 
* 127.00 3,35 13.01 248.89 39,195 4.37 
* 127.00 3.75 14,52 275.96 43,459 4.36 
* 127.00 4.25 16.39 309.05 48,670 4.34 
* 127,00 4.50 17.32 325.29 51,226 4.33 
l 127,00 4.75 18.24 341.3153,750 4.33 
* 127,00 5.00 19.16 357,14 56,242 4.32 
* 127.00 5.60 21,36 394.30 62.094 4.30 
* 127.00 6.30 23.89 436.22 68,696 4.27 
* 127.00 7.11 26.78 482.84 76,037 4.25 
* 127.00 8.00 29.91 531.80 83,748 4.22 
139.70 2.25 9.72 229.50 32,857 4.86 
139.70 2.65 11.41 267.98 38,365 4.85 
139.70 3,00 12.88 301.09 43.105 4,83 
139.70 3.35 14.35 333.68 47.77 4.82 
139.70 3.75 16,OZ 370.31 53,014 4.81 
139.70 4.25 18.08 415.16 59,436 4.79 
139.70 4.50 19.11 437.20 62,591 4.78 
l 139.70 4,75 20.14 459.00 65,712 4,77 
* 139.70 5.00 21,16 480.54 68,796 4.77 
* 139.70 5.60 23.59 531.24 76.054 4,75 
139.70 6.30 26.40 588.62 84,269 4.72 
139.70 7.11 29.62 652,69 93,442 4.69 
139.70 8.00 33.10 720.29 103,119 4.66 
141.30 2.25 9.83 237.61 33,632 4.92 
141.30 2.65 11.54 277.47 39,274 4,90 
141.30 3.00 13.03 311.78 44,131 4.89 
141.30 3,35 14.52 345.56 48,911 4.88 
141.30 3.75 16.20 383.52 54,285 4.87 
141.30 4.25 18.30 430.03 60,868 4,85 
141.30 4.50 19.34 452.80 64,104 4.84 
141.30 4.75 20.38 475.50 67.304 4,83 
141.30 5.00 21.41 497.85 70,468 4.82 
141.30 5.60 23.87 550.46 77,914 4.81 
l 141.30 6.30 26.72 610,OZ 86,344 4.78 
141.30 7.11 29,97 676,56 95,762 4,75 
141.30 8.0’3 33.50 746.80 105,704 4.72 
152.40 2.25 10.61 299.17 39,261 5.31 
152,40 2.65 12.47 349.58 45,876 5.29 
* 152.40 3.00 14.09 393.01 51,576 5.28 
152.40 3.35 15.69 435.83 57,196 5.27 
152.40 3.75 17.51 484.02 63.51~9 5.26 
152.40 4.25 19.78 543.14 71,278 5.24 
* 152.40 4.50 20.91 572.23 75.097 5.23 
* 152.40 4.75 22.03 601,03 78,876 5.22 
l 152.40 5,00 23.15 629.53 82,616 5.21 
l 152.40 5.60 25.83 696.72 91,433 5.19 
l 152.40 6.30 28.92 772.96 101,438 5.17 
152.40 7.11 32.45 858.37 112,647 5.14 
152,40 8,00 36.29 948.81 124,516 5.11 
165.10 2.25 11.51 381,67 46,235 5.76 
165.10 2,65 13.52 446,25 54,059 5.75 
165.10 3.00 15.28 501.97 60.808 5.73 
165.10 3.35 17.02 556.96 67,469 5.72 
165.10 3.75 19.01 618.92 74,975 5.71 
165.10 4,25 21.48 695,05 84,198 5.69 
165.10 4.50 22.70 732.58 88,743 5.68 
* 165,lO 4.75 23.93 769.74 93,245 5.67 
TABELA 6 - Dimensks para tubas de se&n circular 
Area 
(cm21 
Aomentode Momenta Aaio de 
in&ha resistenfe gira& 
(cm4) (cm3) (cm) 
Massa 
kg/m) 
6.92 
8.13 
9.17 
10.21 
11.40 
12.86 
13,59 
14,32 
15,04 
16.76 
18.75 
21.02 
23.48 
7,63 
8.96 
10.11 
11.26 
12.57 
14.20 
15.00 
15.81 
16.61 
18.52 
20.72 
23.25 
25.98 .~ 
7,72 
9.06 
10.23 
11.40 
12.72 
14,36 
15.18 
15.99 
16.81 
18.74 
20.97 
23.53 
26.30 
8.33 
9.79 
11.05 
12.31 
13.75 
15,53 
16.41 
17.30 
18.17 
20.27 
22,70 
25.47 
28.49 
9.04 
10.62 
11.99 
13.36 
14.92 
16,86 
17.82 
18.78 
ontinua 
NBR 659111981 17 
DiS.metro Espessura 
externo (El 
(mm) (mm) 
Area I 
kd 
Momentode Momenta Raiode 
inkcia resistente gira@o 
km4) km3) km) 
* 165.10 5.00 25.15 806.54 97.704 5.66 
* 165.10 5.60 28,06 893.44 108,230 5.64 
165.10 6.30 31.43 992,28 120,204 5,62 
165,lO 7.11 35.29 1.103.31 133,654 5.59 
165.10 8,00 39.48 1.221.25 147,940 5.56 
166.30 2.25 11.74 404.61 48,082 5.87 
168.30 2.65 13.79 473.14 56,226 5.86 
168.30 3-00 15.58 532.28 63,254 5.85 
168.30 3.35 17.36 590.66 70,192 5.83 
168.30 3.75 19.39 656.46 78,011 5.82 
168.30 4.25 21.90 737.34 87,622 5.80 
168.30 4.50 23.16 777.21 92,361 5.80 
168.30 4.75 24.41 816.72 97.055 5.78 
168.30 5.00 25.65 855.85 101,705 5.78 
168,30 5.60 28.62 948,25 112,686 5.76 
l 168.30 6.30 32,06 1.053.42 125,183 5.73 
l 168.30 7.11 36.00 1.171.62 139,230 5.70 
168.30 8.00 40.29 1.297.27 154,162 5.67 
177.80 2.25 12.41 478.10 53,779 6,21 
177.80 2.65 14.58 559.29 62,912 6.19 
177.80 3.00 16.47 629.41 70,800 6.18 
177.80 3.35 18.36 698.68 78,592 6.17 
177.80 3.75 20.50 776.81 873.80 6.16 
177.80 4.25 23.17 872.93 98.193 6.14 
177.80 4.75 25.82 967,37 108,816 6.12 
177.80 5.00 27.14 1.013.97 114.057 6.1 1 
177.80 5.60 30.30 1.124.10 126,445 6.09 
177.80 6.30 33.94 1.249.62 140,565 6.07 
177,80 7.11 38.13 1.390.93 156,461 6.04 
177.80 8.00 42.68 1.541.44 173,390 6.01 
TABELA 6 - Dimens6es pwa tubor de s@a circular Continua& 
WmJ 
19.74 
22.03 
24,67 
27,70 
2,5,07 
9.21 
10.83 
12,23 
13,63 
15.22 
17.19 
18.18 
19.16 
20.13 
22.47 
25.17 
28.26 
31.62 
9.74 
11.45 
12.93 
14.41 
16.10 
18.19 
2027 * 
21.31 
23.78 
26.64 
29.92 
33.50 
lyotasr a) 0s valores desta Tabela foram obtidos por cSlculo a partir das dimen- 
s&s nominais. 
b) OS padroes assinalados (*) correspondem a tubas facilmente encontra- 
veis no mercado brasileiro. 
18 NBR6591/1981 
TABELA7- Dimenderparatubordese~oquadrada 
15.87 
* 15,a7 
f 15.87 
19.00 
* 19;oo 
l 19.00 
20.00 
* 20.00 
* 20.00 
* 20.00 
21.00 
l 21.00 
* 21.00 
* 21,00 
22,00 
* 22,oo 
* 22.00 
* 22.00 
25.00 
= 25.M) 
I 25.00 
* 25.00 
25,40 
* 25.40 
l 25.40 
= 25,40 
30.00 
l 30,oo 
l 30.00 
* 30.00 
30.00 
30.00 
- 30,oo 
31.75 
= 31.75 
= 31.75 
l 31.75 
31.75 
31,75 
31.75 
35,00 
* 35.00 
l 35.00 
* 35.00 
35,00 
35.00 
35.00 
Espessura 
(E) 
(mm) 
Area 
(cm2) 
Momentode 
ink% 
(cm? 
Memento 
resistente 
(cm3) 
Raio de 
giraf$o 
km) 
T- 
N 
(I 
1 ,oo 0.59 0.22 0,278 0.6 0.47 
1.20 0.70 0.53 0,666 0.9 0.55 
1.50 0.86 0.30 0,378 ‘3.6 0.54 
1.M) 0.72 0.39 0,410 0.7 0.57 
1.20 0.85 0.45 0,477 0.7 0.67 
1.50 1.05 0.54 0,568 0.7 0.82 
1 ,oo 0.76 0.46 0,459 10.8 0.60 
1.20 0.90 0.53 0,534 0.8 0.71 
1.50 1.11 0,64 0,637 0.8 0.87 
2.00 1,44 0.79 0,787 0.7 1.13 
1.00 0.80 0.53 0,509 0.8 0.63 
1.20 0.95 0.62 0,594 ‘3.8 0.75 
1.50 1.17 0.75 0,710 0.8 0.92 
2.00 1.52 0.93 0,880 0.8 1.19 
1.00 ON 0.62 0,563 0.9 0.66 
1.20 1 ,oo 0.72 0,657 0.7 0.78 
1.50 1.23 0.87 0.787 0.8 0.97 
2.00 1.60 1.08 0,970 0.8 1.25 
l,oQ 0,96 0.92 0,739 1.0 0.75 
1.20 1.14 1.08 0,865 1 ,o 0.90 
1.50 1.41 1.30 1,042 1 .o 1.11 
2.00 1.84 1.63 1,100 0.9 1.44 
1.00 0.98 0.97 0.764 1.0 0,77 
1.20, 1.16 1.14 0,895 1.0 0.91 
1.50 1,43 1,37 1,079 1.0 I,13 
2,00 187 1,72 1,355 1.0 1,47 
1.00 1.16 1.63 1,085 1.2 0.91 
1,20 1.38 1.91 1,276 1.2 1,09 
1.50 1.71 2,32 1.548 1.2 1.x 
2.00 2.24 2,94 1,961 1.2 1.76 
2.25 2.50 3.22 2,150 1.1 1.96 
2.67 2.92 3.67 2,446 1.1 2.29 
3.00 3,24 3.98 2,657 1.1 2.54 
1.00 1.23 1,94 1,222 1.3 0.97 
1.20 1.47 2,28 1,439. 1.2 1.15 
1.50 1.82 2.78 1,748 1.2 1.42 
2.00 2.38 3.53 2,221 1.2 1.87 
2.25 2.66 3.87 2,440 1.2 2.08 
2.65 3.08 4.39 2,765 1.2 2.42 
3.00 3.45 4.80 3,026 1.2 2.71 
1.00 1.36 2.62 1,499 1.4 1.07 
1.20 1.62 3,09 1,768 1.4 1.27 
1.50 2,Ol 3.77 2,153 1.4 1.58 
2.00 2.64 4.81 2,748 1.3 2.07 
2.25 2.95 5.29 3,025 1.3 2.31 
2.65 3.43 6.02 3.441 1.3 2.70 
3.00' 3.84 6,61 3,778 1.3 3.01 
---__ 
Continua 
NBR 659111961 19 
Dimen%% 
externa 
(mm) 
E ispessura 
El 
(mm) 
Area Mass.3 MC mxnto de Memento Raio de 
I nhrcia resistente gira$o 
1 :cm4) (cm3) km1 
CC 
I 
, lkgh) 
38.00 1 ,oo 1,48 3.38 1,779 1.5 1.16 
" 38.00 1.20 1.77 3.99 2,101 1.5 1.39 
* 38.00 1.50 2.19 4.87 2,564 1.5 1.72 
l 38.00 2.00 2,88 6.24 3,284 1.5 2.26 
38.00 2,25 3,22 6.88 3,621 1.5 2.52 
38.00 2,65 3.75 7.85 4,130 1.5 2.94 
38.00 3.00 4.20 8.64 4,546 1.4 3.30 
40.00 1 .oo 1.56 3.96 1,979 1.6 1.22 
l 40,oo 1.20 1,86 4.68 2,339 1.6 1.46 
* 40.00 1.50~ 2.31 5.72 2,858 1.6 1.81 
* 40.00 2,00 3.04 7.34 3,668 1.6 2.39 
40.00 2.25 3.40 8,lO 4,049 1.5 2.66 
40.00 2.65 3.96 9.25 4,626 1.5 3.11 
* 40.00 3.00 4,44 10.20 5.099 1.5 3.40 
* 41.27 1.20 1.92 5.15 2,50 1.6 1.51 
l 41.27 1.50 2.39 6.30 3.05 1,6 1.87 
I 41.27 2.00 3.14 8.10 3,923 1.6 2.47 
41.27 2.25 3.51 8.94 4,333 1.6 2.76 
41.27 2.65 4.09 10.22 4,955 1.6 3.21 
41.27 3.00 4.59 11.28 5,466 1.6 3.61 
* 50.00 1.20 2.34 9.30 3,721 2.0 1.84 
* 50.00 1.50 2.91 11.42 4,568 2.0 2.28 
= 50.00 2.00 3.84 14.77 5,909 2.0 3.01 
50.00 2.25 4.30 16.376,547 2,o 3.37 
50.00 2.65 5,02 18.81 7,525 1.9 3.94 
l 50,oo 3.00 5.64 20.85 8,340 13 4.43 
50.00 3.35 6.25 22.79 9,116 1.9 4.91 
50,oo 3.75 6.94 24.90 9,958 1.9 5.45 
50.00 4.25 7.76 27.37 10,946 1.9 6,ll 
50.00 4.50. 6.19 28.54 11,414 1.9 6.43 
50.00 4.75 8.60 26.90 11,865 1.8 6.75 
x 60.00 1.20. 2.82 16.27 5,424 2.4 2.22 
* 60.00 1.50 3.51 20.03 6,678 2,4 2.76 
* 60.00 2.00 4.64 26.05 8,662 2.4 3.64 
60.00 2.25. 5.20 28.93 9,645 2.4 4.08 
60.00 2,65 6.08 33.39 11,132 2.3 4.77 
* 60.00 3.00 6.84 37.14 12,380 2.3 5.37 
60.00 3.35 7.59 40.74 13,582 2.3 5,96 
60.00 3.75 8.44 44.69 14,897 2.3 6.62 
60.00 4.25. 9.48 49.38 16,460 2.3 7.44 
60.00 4.50 9.99 51.62 17,208 23 7.84 
60.00 4.75 10.50 53.80 17,934 2.3 8.24 
= 60.00 5,00 11.00 55.92 18.639 2.3 8.64 
* 63.50 1,50 3.72 23.85 7.511 2.5 2.92 
= 63.50 2.00 4.92 31.05 9,779 2.5 3.86 
63.50 2.25 5.51 34.51 10,871 23 4.33 
63.50 2.65 6.45 39.88 12,561 2.5 5,06 
* 63.50 3,00 7.26 44.40 13,984 2,5 5.70 
63.50 3,35 8.06 48.75 , 15,355 2.5 6.33 
63.50 3.75 8.96 53.54 16,862 2.4 7.04 
63,50 4,25 10.07 59.24 18.657 2.4 7.91 
63.50 4.50 10.62 61.97 19.519 2.4 8.34 
* 63.50, 5.00 11.70 67.22 21,172 2.4 9.18 
70.00 1.50 4.11 32.16 9.19 2.8 3,23 
70.00 2,00 5.44 41.96 11,989 23 4,27 
70.00 2.25 6.10 46.70 13,342 2.8 4.79 
70.00 2.65 7.14 54,06 15,444 2.8 5.60 
70.00 3.00 8.04 60.27 17,221 2.7 6.31 
70.00 3.35 8.93 66.29 18,940 2.7 7.01 
70.00 3,75 9.94 72.93 20,836 2.7 7.80 
TABELA 7 - Dimenkks para tubasde se& quadrada 
- 
Continua 
20 NBR659111981 
DimenGo 
externa 
(mm) 
7000 
, I 
70.00 
70.00 
70.00 
80.00 
80.00 
80.00 
80.00 
SOP0 
80,OO 
80,OO 
80.00 
80.00 
80.00 
80.00 
80.00 
100.00 
100.00 
100.00 
100.00 
100.00 
lOQ.00 
100.00 
100.00 
100.00 
100.00 
100.00 
100.00 
100.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
115.00 
125.00 
125,OO 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
125.00 
140.00 
140.00 
140.00 
140.00 
140.00 
E 
TABELA7- Dimen~erparatuborden~oqquadrada 
ispesmra 
(E) 
(mm) 
AV3 
(cm21 
Momenta de 
inhcia 
(cm4) 
MOlWXltO 
resistenfe 
(cm31 
Raio de 
gira+ 
(cm) 
Continua+0 
Massa 
lkgh) 
4.25 11.18 80.87 23,106 2.7 a.77 
4.50 11.79 84.70 24,200 2.7 9.26 
4.75 12.40 88.44 25.268~ 2.7 9.73 
5.00 13,OO 92.08 26,310 2.7 10.21 
1.50. 4.71 4839 12,098 3.2 3.70 
2,00 6,24 63.32 15,829 3.2 4.90 
2,25 7.00 70,56 17,640 32 5.49 
2.65 8.20 81,86 20.464 3.2 6.44 
3.00 9.24 91.45 22,861 3.2 7.25 
3.35~ 10.27 100.77 25,192 3.1 8.06 
3.75 11.44 111,10 27,775 3.1 8.98 
4.25 12.88 123,54 30.885 3.1 10.11 
4.50 13.59 129.57 32,392 3,l 10.67 
4.75 14.30 135.47 33,868 3.1 11.22 
5.00 15.00 141.25 35,313 3,l 11.78 
5.60 16.67 154.62 38,655 3.0 13.08 
2.25 8.80 140.18 28,035 4.0 6.91 
2.65 10.32 163.11 32,622 4.0 8.10 
3,00 11.64 182,71 36,542 4,O 9.14 
3,35 12.95 201.87 40,375 3.9 10.17 
3.75 14.44 223.25 44,651 3.9 11.33 
4.25 16.28 249,21 49,842 3.9 12.78 
4.50 17.19 26188 52,375 3.9 13.49 
4.75 18.10 274.33 54,866 3.9 14.21 
5.00 19.00 286,58 57,317 3.9 14.92 
5.60 21.15 315.17 63,033 3.8 16.60 
6.30 26.61 347.08 69.416 3.6 18.54 
7.11 26.42 382,14 76,428 3,8 20.74 
a,00 29.44 418.44 83,688 3.8 23.11 
2.25 10.15 215.08 37,406 4.6 7.97 
2.65 11.91 250,68 43,596 4.6 9.35 
3.00 13.44 281,18 48,901 4.6 10.55 
3.35 14.96 311.12 54,107 4.6 11.74 
3.75 16.69 344.62 59.93 4.5 13.10 
4.25 18.83 385.45 67,035 4.5 14.78 
4.50 19.89 405.44 70,512 4.5 15.61 
4.75 20.95 425.15 73,939 4.5 16.44 
5.00 22.00 444.58 77,319 4.50 17.27 
5,60 24.51 490.10 85,235 4.47 20.54 
6.30 27.39 541.24 94,129 4.45 21.50 
7.11 30.68 597;87 103,977 4.41 24.09 
8,OO 34.24 657.00 114,261 4,38 26.88 
2.25 11.05 277.53 44,404 5,Ol 8.67 
2.65 12.97 323,72 51,705 4,99 10.18 
3.00 14.64 363,39 58,143 4.98 11.40 
3.35 16.30 402.37 64,379 4.97 12.80 
3.75 18.19 446.07 71,371 4.95 14.28 
4.25 20,53 499.46 79,913 4.93 16.14 
4.50 21.69 525.64 84,103 4.92 17.03 
4.75 22.85 551.48 88,237 4.91 17.94 
5.00 24.00 577.00 92,320 4.90 18.84 
5.60 26.75 636.89 101,903 4.88 21.00 
6.30 29.91 704.41 112,705 4.85 23.48 
7.11 33.53 779,44 124,711 4,82 26.32 
8,OO 37.44 858,309 137,309 4,79 29.39 
2.25 12.40 392.18 56,026 5.62 9.73 
2.65 14.50 457.93 65.4 19 5.61 11.43 
3.00 16.44 514.53 73,504 5.59 12.91 
3.35 18.31 570.23 81,461 5.59 14.37 
3.75 20.44 632.83 90,404 5.56 16.04 
Continua 
NBR 659111981 
TABELA 7 - DimenCkr para tubor de se& quadrada 
externa 
(mm) 
140.00 
140.00 
140.00 
140,oo 
140.00 
140.00 
140,oo 
140.00 
Espenura 
(El 
(mm1 
4,25 23,08 
4.50 24.39 
4.75 25.70 
5,00 27.00 
5.60 30.11 
6.30 33.69 
7.11 37.79 
8.00 42.24 
Momenta de 
i 
Momenta 
resistente 
lcm3) 
101.356 
1ot3:739 
112,061 
117,381 
129,704 
143,720 
159.368 
175.880 
Raio de 
girar& 
(cm) (kg/m) 
5.54 18.12 
5.53 19.35 
5.52 20.17 
5.52 21.20 
5.49 23,63 
5.46 26.45 
5.43 29.67 
5.40 33.16 
#&as: 8) OS valores desta Tabela foram obtidos por calculo a partir das dimen- 
s&s nominais. 
b) Para efeito de c~lculo, OS raios dos cantos sao OS seguintes: raio do 
canto externo = 2,s E e raio do canto interno = 1,5 E. 
c) OS padroes assinalados (*) correspondem a tubas facilmente encontra - 
veis no mercado brasileiro. 
hl) 
l 30x 20 
l 30x 20 
l 30x 20 
* 30x20 
l 32x 19 
* 32x 19 
l 32x 19 
l 32x 19 
* 35x 15 
l 35x 15 
* 35x 15 
l 35x 15 
l 35x 16 
l 35x 16 
l 35x 16 
l 35x 16 
l 35x 20 
+ 35x 20 
l 35x 20 
* 35x 20 
T 
- 
Espessura 
(El 
(mm) 
Area Momenta de inhrcia Momenta resinente Raio degira@o 
(cm2) 
1 .oo 0.96 O,@ 
1.20 1,14 0.75 
1.50 1.41 0.89 
2.00 I,04 1.11 
1.00 0.98 0.60 
1.20 1,17 0.70 
1.50 1,44 0.84 
2.00 1.88 1.04 
1 ,oo 0.96 0.38 
1.20 1.14 0.44 
1.50 1,41 0,52 
2.00 I,84 0.64 
1 ,oo 0.98 0.44 
1.20 1,17 0.51 
1.50 1.44 0.61 
2,00 7.88 0.75 
1.00 1.06 0.73 
1.20 I,26 0.65 
1.50 1.56 1.02 
2.00 2.04 1,28 
TABELAS- Dimen~esparatubosdeoe~o retangular 
X .- X -. 
iy 
(cm41 
1.21 
1,42 
1.71 
2;16 
1.36 
1.60 
1.94 
2,44 
1.47 
1,72 
2.08 
2.63 
1,52 
1.79 
2.17 
2.74 
1.76 
2.06 
2,50 
3.17 
lcm3) 
0,640 0,807 
0,750 0,947 
0,890 1,140 
1,110 1,440 
0,632 0,850 
0,737 1,000 
0,884 1,213 
1,094 1,525 
0,507 0,640 
0,567 0,983 
0,693 1,169 
0,853 7,503 
0,550 0,869 
0,638 1,023 
0,763 1,240 
0,937 1,566 
0,730 1,006 
0,850 1,177 
1,020 1,429 
1,280 1,811 
- 
km) 
0.82 1.12 
0.81 
0;79 
0,78 
0.78 
0,77 
0.76 
0.74 
0,63 
0.62 
0,61 
0.59 
0.67 
0.66 
0.65 
0.63 
0.83 
0,82 
0.81 
0.79 
1:12 
1.10 
1.08 
1.18 
1.17 
1,16 
I,74 
1.24 
1.23 
1,21 
1.20 
1.25 
1,24 
1,23 
1,21 
1.29 
I,28 
1.27 
1.25 
- 
(kg/m) 
0.75 
0;90 
1.11 
1.44 
0.77 
0,92 
1.13 
1.48 
0.75 
0.90 
1,ll 
1,64 
0,77 
0.92 
1,13 
1.46 
0,83 
0.99 
1.22 
1.60 
.,, ,,, ,, .,,,. ,..1,.,., _,, 
TABELA8 - Oimenrder paratubondeoe~% retangular 
Continua+ 
Dimensa"0 
(mm) 
l 35x 20 
* 35x 25 
* 35x 25 
l 35x 25 
l 40x 20 
* 40x 20 
l 40x 20 
l 40x 20 
" 40x 30 
l 40x 30 
= 40x 30 
l 40x 30 
l 40x 30 
40x 30 
l 40x 30 
* 50x 20 
l 50x 20 
* 50x 20 
l 50x 20 
* 50x 20 
50x 20 
l 50x 20 
l 50x 30 
= 50x 30 
l 50x 30 
l 50x 30 
50x 30 
50x 30 
l 50x 30 
50x 30 
* 50x 30 
l 50x 40 
l 50x 40 
Espessura 
(El 
(mm) 
l,oo 
1.20 
1.50 
2,00 
1.00 
1.20 
1,50 
2.00 
1.00 
1.20 
1.50 
2.00 
2,25 
2.65 
3.00 
I ,oo 
1.20 
1,50 
2.00 
2.25 
2.65 
3,00 
1 ,oo 
I,20 
1,50 
2.00 
2.25 
2.65 
3.00 
3:35 
3.75 
I,20 
1.50 
Area Momentode in&a 
(cm21 fcm4) 
1.16 
I;38 
1.21 
I;42 
2.04 
2:41 
1,71 I,72 2.92 
2,242.16 3,72 
1.16 0.82 2.44 
1.38 0.96 2.87 
1.71 1.15 3.49 
2.24 1.44 4.45 
1.36 2.05 3.20 
1.62 2.41 3.77 
2,Ol 2.93 4,60 
2,24 3,73 5.89 
2.95 4,lO 6.49 
3,43 4,64 7.40 
3.84 5.08 8.14 
1.36 1 ,oo 4.24 
I,62 1.17 5.02 
2,Ol I,41 6,13 
2.54 1,76 7.86 
2.95 1.92 8.67 
3.43 2,15 %89 
3,84 2.33 10,ao 
1.56 2.47 5.45 
1.86 2.91 6.44 
2.31 3,54 7.89 
3.04 4.51 10.16 
3.40 4,96 11.23 
3.96 5.64 12.87 
4.44 6.18 14.21 
4.91 6.69 15.49 
5.44 7.22 16.86 
2.10 5,58 7,87 
2.61 6.83 9.65 
Momenta resistente 
(cm3) 
0,970 1.166 
1.136 
I;376 
1,728 
0,820 
0,960 
1,150 
1,440 
1,367 
1,607 
1,953 
2,467 
2,733 
3,093 
3,387 
1,000 
1,170 
1,410 
1,760 
1,920 
2,150 
2,330 
7,647 
1,940 
2,360 
3,007 
3,307 
3,760 
4,120 
4,460 
4,813 
2,790 
3,415 
1:377 
1,669 
2,126 
1,220 
1,435 
1,745 
2,225 
1,600 
1,885 
2,300 
2,945 
3,245 
3,700 
4,070 
1,696 
2,008 
2,452 
3,144 
3,468 
3,956 
4,360 
2,180 
2,576 
3,156 
4,064 
4,492 
5,148 
5,684 
6,196 
6,744 
3,148 
3,860 
Raio de gira$o 
km) 
1.02 1.33 
1:01 I;32 
1 ,oo 1,31 
0,98 1.29 
0.84 1,45 
0,83 I.44 
0.62 1,43 
0,80 1.41 
1,23 I,53 
1.22 1.53 
I,21 1,51 
1.19 1.49 
I.18 1.48 
1.16 1.47 
1.15 1.45 
0,86 1.77 
0.85 I,76 
0,84 1.75 
0.82 I,72 
0.81 1.71 
0.79 1.70 
0.78 I,68 
1.26 1,87 
1,25 1.86 
1.24 I,85 
1.22 I,83 
1.20 I,82 
1,19 1.80 
1.18 1.79 
1.17 1.78 
1.15 1.76 
I,63 I,94 
1.62 1.92 
Con z 
fkg/m) 
0.91 
I,09 
1.34 
I,76 
0.91 
1,09 
1.34 
1.76 
1,07 
1.27 
1,578 
2.07 
2.31 
2.69 
3,Ol 
1.07 
I,27 
1.58 
2,07 
2.31 
2.69 
3.01 
1,22 
1.46 
1,81 
2.39 
2.67 
3.11 
3.49 
3.86 
4.27 
I,65 
2.05 
""a 
.,, ,,, ,, ., ., 
TABELA8 - Dimensiierparatubosde se@ retangular 
Area 
(cm2) 
3.44 
3.85 
4,49 
5,04 
5.58 
6.19 
6.93 
2.17 
2,70 
3,56 
3,98 
4.65 
5.22 
5,78 
6.41 
7,18 
2.34 
2.91 
3.84 
4.30 
5.02 
5.64 
6.25 
6.94 
7.78 
2.22 
2.76 
3.64 
4,07 
4.75 
5.34 
5.92 
6,40 
7.35 
2.82 
Momentode in&% 
(cm41 
a,78 12.47 
9.70 
11:10 
13.80 
15;84 
12.26 17.53 
13.34 19.14 
14.51 20.88 
15,86 22,90 
4.22 10.67 
5.14 13.10 
6.59 16.96 
7.26 18,60 
8.49 21.62 
9.11 23.97 
9.84 26.21 
10.71 28.65 
11.66 31.51 
6.48 12,12 
7.94 14.90 
10.23 19,32 
11.31 21.43 
12.95 24,67 
14.31 27.39 
15.60 29.98 
16.98 32.81 
18.59 36.14 
2.61 13.28 
3.17 16.32 
4.02 21.15 
4,41 23.45 
4.99 27.00 
5.46 29.95 
5.88 32.78 
6.22 35.10 
6.81 39.48 
12.16 20,38 
Momenta resistente 
(cm3) 
4.390 
4:850 
5,550 
6,130 
6,670 
7,255 
7,930 
2,558 
3,115 
3,993 
4,400 
5,145 
5,521 
5,994 
6,491 
7,067 
3,240 
3,970 
5,115 
5,655 
6,475 
7,155 
7,800 
8,490 
9,295 
2,088 
2,536 
3,216 
3,528 
3,992 
4.368 
4,704 
4,976 
5.448 
4,864 
4,988 
5,520 
6,336 
7,012 
7,656 
8,352 
9,160 
3,557 
4,367 
5,653 
6,267 
7,207 
7,990 
8,736 
9,550 
10,503 
4,040 
4,967 
6,440 
7,143 
8,223 
9,130 
9,993 
10,937 
12,047 
3,794 
4,663 
6,043 
6,700 
7,714 
8,557 
9,366 
10,029 
11,280 
5,823 
Dimens& 
Imml 
Espessura 
(El 
(mm) 
* 50x 40 2.00 
50x 40 2.25 
50x 40 2.65 
l 50x 40 3.00 
50x 40 3.35 
50x 40 3.75 
l 50x 40 4,25 
l 60x 33 1.20 
l 60x 33 1.50 
l 60x 33 2.00 
60x 33 2.25 
60x 33 2.65 
+ 60x 33 3.00 
60x 33 3.35 
60x 33 3.75 
l 60x 33 4.25 
60x 40 1,20 
l 60x 40 1.50 
l 60x 40 2.00 
60x 40 2.25 
60x 40 2,65 
l 60x 40 3.00 
60x 40 3.35 
60x 40 3,75 
l 60x 40 4.25 
* 70x 25 1.20 
* 70x 25 1,50 
* 70x 25 2.00 
70x 25 2.25 
70x 25 2.65 
l 70x 25 3.00 
70x 25 3.35 
70x 25 3.65 
l 70x 25 4,25 
l 70x 50 1.20 
1.60 1,90 
1,59 1.89 
1,57 1,88 
1,56 1,86 
1.55 1,85 
1.53 1.84 
1,51 1,82 
1.39 2.22 
1.38 2,20 
1,36 2.18 
1.36 2.17 
1,35 2.16 
1.32 2.14 
1.30 2.13 
1,29 2.11 
1.27 2.09 
1.66 2.28 
1.65 2,26 
1.63 2.24 
1.62 2.23 
1.60 2.22 
1.60 2,20 
1,58 2,19 
1,56 2,17 
1.54 2,15 
1,08 2.45 
1.07 2.43 
I,05 2.41 
I,04 2.40 
1.02 2.38 
1,Ol 2,37 
l,oo 2.35 
0.99 2.34 
0.96 2.32 
2.08 2.69 
(kg/ml 
2,70 2,70 
3.02 3.02 
3.52 3.52 
3;96 
4.38 
4.86 
5.44 
1,71 
2.12 
2;79 
3,13 
3.65 
4.10 
4.54 
5.03 
5.64 
1.84 
2,28 
3,Ol 
3.37 
3.94 
4,43 
4.91 
5.45 
6.11 
1.74 
2,17 
2,86 
3.20 
3.73 
4,lQ 
4.64 
5.03 
5.77 
2.22 
Continua 
., 
TABELAa- Dimens& paratuborde se~orretangular 
Dimen& 
l 70x 50 1.50 3.51 14,95 25.12 5,980 7,177 2.06 
l 70x 50 2,00 4,64 19.38 32.71 7.752 9,346 2.04 
70x 50 2.25 5.20 21.50 36.37 8,600 10,391 2,03 
70x 50 2.85 6.08 24.76 42.03 9,904 12,009 2.02 
l 70x 50 3,00 6,84 27,49 46,80 10,996 13,371 2,00 
70x 50 3.35 7.59 30.09 51.50 12,036 14,686 1.99 
70x 50 3,75 8.44 32.93 56.45 13,172 16,129 1,97 
70x 50 4.25 9.48 36.29 62.47 14,516 17,849 1.96 
70x 50 4.75 10.50 39,42 68.18 15,768 19,480 1.94 
l 70x 50 5.00 11.00 40,92 70.92 16,368 20,263 1.93 
l 80x 40 1.50 3.51 10.16 29.90 5,080 7,475 1.70 
= 80x 40 2,00 4.64 13.12 38.97 6,560 9,743 1,68 
80~~40 2,25 5.20 14.52 43.35 7,260 10,838 1.67 
80x 40 2.65 6.08 16.66 50.13 8,330 12,533 1,65 
l aox 40 3.00 6.84 18.43 55.85 9,215 13,963 1.64 
80x 40 3,35 7.59 20.11 61.38 10,055 15,345 1.63 
aox 40 3.75 8.44 21.93 67.46 10,965 16,865 1.61 
80x 40 4.25 9.48 24.04 74.72 12,020 18,880 1.59 
80x 40 4.75 10.50 26,OU 81.61 13,000 20,403 1.57 
* 80x 40 5,00 ll,oo 26,92 84,92 13,460 21,230 1,56 
l 90x 30 1.20 2.82 4.90 27.64 3,267 6,142 1,32 
l 90x 30 1.50 3.51 5.98 34,09 3,987 7,576 1.31 
* 90x 30 2.00 4.64 7.65 44.44 5,100 9,876 1,28 
90x 30 2.25 5.20 8.44 49.43 5,627 10,984 1,27 
90x 30 2,65 6,08 9.61 57.18 6,407 12,707 1.26 
* 90x 30 3.00 6.84 10.57 63.71 7,047 14,158 1,24 
90x 30 3.35 7.59 11.47 70.02 7,647 15,560 1,23 
90x 30 3.75 8.44 12,42 76.97 8,280 17,104 1.21 
90x 30 4.25 9.48 13.50 85,26 9,000 18,947 1,19 
90x 30 4.75 10.50 14.47 93.13 9,647 20,696 1,17 
* 90x 30 5.00 11.00 14.92 96.92 9,947 21,538 1,16 
100x 50 2.25 6,55 29.20 86.42 11,680 17,284 2.11 
100x 50 2,65 7.67 33.68 100.31 13,472 20,062 2,09 
100x 50 3.00 8.64 37.44 112.12 14,976 22,424 2.08 
Espessura 
(El 
hd 
Momenta de inhcia Moment0 resistente Raio de gira$Zo 
hl4) km31 (Cd 
2.67 
2.65 
2.64 
2;63 4:77 
2.61 5.37 
2.60 5.96 
2,59 6.62 
2.57 7,44 
2.55 8.24 
2.54 8.64 
2.92 2.76 
2,90 3.64 
2.89 4.08 
2.87 4.77 
2.86 5.37 
2.84 5.96 
2.83 6.62 
2.81 7.44 
2.79 8.24 
2,78 8,64 
3.12 2.22 
3.12 2.76 
3.09 3.64 
3.08 4.08 
3.07 4.77 
3.05 5.37 
3,M 5.96 
3.02 6.62 
3.00 7.44 
2.98 8.24 
2.97 8,64 
3.63 5,14 
3.62 6.02 
3.60 6,78 
1 kolml (kg/m) 
- 
2.76 
3.64 
2.76 
3,64 
4.08 
Continua 
. , , , , , 
, , , , 
. , . , _ , , 
TABELA8 - Dimenties paratubordese&~ retangular 
Dimen& 
(mm) 
100x 50 
100x 50 
100x 50 
100x 50 
l 100x 50 
100x 50 
100x 50 
100x 50 
100x 50 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
100x 75 
l 110x 30 
l 110x 30 
110x 30 
110x 30 
l 110x 30 
110x 30 
110x 30 
110x 30 
110x 30 
110x 30 
115x 75 
115x 75 
115x 75 
Espessura 
(El 
Imm) 
3.35 9.60 41.04 123.61 16,416 24,722 2.07 3,59 7.54 
3.65 10.42 44.02 133.21 17,608 26,642 2.06 3.58 8.18 
4.25 12,03 49.67 151.74 19.868 30,348 2.03 3,55 9;44 
4.75 13.35 54.07 166.50 21,628 33,300 2.01 3.53 10.48 
5.00 14.00 56.17 173.67 22,468 34.734 2.00 3.52 10.99 
5.60 15.55 60.94 190.26 24,376 38,052 1.98 3.50 12.20 
6.30 17.31 66.06 208.08 26,424 41,616 1.95 3.47 13.59 
7,ll 19.31 71.42 228.47 28,568 45,694 1.92 3.44 15.16 
8.00 21,44 76.65 248.73 30,660 49,746 1.89 3,41 16,83 
2,25 7,67 72.70 113.30 19,387 22,660 3.08 3.84 6.02 
2.65 8.99 84,34 131.71 22,490 26,342 3.06 3.83 7.06 
3.00 10.14 94.23 147.4125,128 29,482 3.05 3.81 7,96 
3.35 11,28 103.84 162.74 27,691 32,548 3.03 3.80 8.85 
3.75 12.56 114.50 179.81 30,533 35,962 3.02 3.78 9,86 
4.25 14.15 127.33 200.48 33,954 40,096 3.00 3,76 11.11 
4.75 15.72 139.63 220.42 37,235 44,084 2.98 3.74 12,34 
5.00 16.50 145.59 230.13 38,824 46,026 2.97 3.73 12.95 
5.60 18.35 159.39 252.71 42,504 50,542 2.94 3.71 14.40 
6.30 20.46 174.60 277,83 46,560 55,566 2.92 3.68 16.06 
7.11 22.86 191.06 305.30 50,949 61,060 2,89 3.65 17.95 
8.00 25.44 207.80 333.59 55,413 66,718 2.86 3.62 19.97 
1,50 4.11 7.20 57.12 4,800 10,385 1.32 3.73 3.23 
2,00 5.44 9,22 74.70 6,147 13,582 1.30 3.70 4.27 
2.25 6,lO 10.17 83.22 6,780 15,131 1.29 3.69 4,79 
2.65 7,14 11.60 96.51 7,733 17,547 1.27 3.68 5.60 
3,00 8.04 12,77 107,78 8,513 19,596 1,26 3.66 6.31 
3.35 8.93 13,86 118.72 9,240 21,585 1.24 3.65 7.01 
3.75 9.94 15.02 130.83 10,013 23,787 1,23 3,63 7.80 
4.25 11.18 16.34 145.40 10,893 26,436 1.21 3.61 a.77 
4.75 12.40 17.54 159.34 11,693 28.97 1 1.19 3.58 9.73 
5.00 13,00 18.08 166.08 12,053 30,196 1.18 3,57 10.21 
2.25 8.80 108.17 172.18 25,452 29,944 3.51 4.42 6.91 
2,65 10.32 125.73 200.49 29,584 34,868 3.50 4,41 a,10 
3.00 11.64 140.69 224.73 33,104 39,083 3,48 4.39 9.14 
Area Moment0 de inhia Momenta resistente Raio de giraqfo 
km2) (cm4) km3) km) 
ContinuaGo 
(kg/ml 
Continua 
.,, ,,, ,, ., . 
TABELA 8 - Dimen&r para tubosde se& retangular 
Dimen& 
(mm) 
115x 75 
115x 75 
115x 75 
115x 75 
115x 75 
115x 75 
115x 75 
115x 75 
115x 75 ! 
Espessura 
(E) 
(mm) 
3.35 
3,75 
4,25 
4.75 
5.00 
5.60 
6.30 
7.11 
8.00 
t 
Area 
(cm21 
12.95 
14,44 
l&28 
18.10 
19.00 
21.15 
23,61 
25.00 
27.84 I - 
Momenta de in&h 
km4) 
155.29 248,45 
171.54 274.97 
191.21 307.22 
210.17 338.49 
219.40 353.77 
240.85 389.48 
264.69 429.46 
215.73 432.10 
234,86 437.48 
t 
Momenta resistente 
(cm31 
36,539 43,209 
40,362 47,821 
44.99 1 53,430 
49,452 58,868 
51,624 61,625 
56,670 67,736 
62,280 74,689 
57,528 75,147 
62,629 82,344 
Raio de gira@o 
km) 
3.46 4,36 
3.45 4,36 
3,43 4.34 
3.41 4.32 
3;40 4132 
3.37 4,29 
3.35 4,26 
2.94 4.16 
2.90 4.12 
(kg/m) 
10.17 
11.33 
12.78 
14.21 
14.92 
16,60 
18.54 
19.62 
21.85 
Notas: a) OS va~l,ores desta Tabela foram obtidos por calculo a partir das dimensoes nominais. 
b) Para efeito de ciilculo, OS raios dos cantos vivos Go OS seguintes: raio do canto externo = 2,s E e raio do 
canto interno = 1,5 E. 
c) OS padroes assinalados (*) correspondem a tubas facilmente encontrheis no mercado brasileiro.