SIST EN 10219-2:2019
(Main)Cold formed welded steel structural hollow sections - Part 2: Tolerances, dimensions and sectional properties
Cold formed welded steel structural hollow sections - Part 2: Tolerances, dimensions and sectional properties
This document specifies tolerances for cold formed welded circular, square, rectangular and elliptical structural hollow sections, manufactured in wall thicknesses up to 40 mm, in the following size ranges:
- circular: Outside diameters up to 2 500 mm;
- square: Outside dimensions up to 500 mm × 500 mm;
- rectangular: Outside dimensions up to 500 mm × 300 mm;
- elliptical: Outside dimensions up to 480 mm × 240 mm.
The formulae for calculating sectional properties of sections manufactured to the dimensional tolerances of this standard, to be used for the purposes of structural design, are given in Annex A.
Dimensions and sectional properties for a limited range of more common sizes are given in Annex B.
NOTE The designation of the sections' major axis (yy) and minor axis (zz) aligns with the axis designation used for structural design in the structural Eurocodes.
Kaltgefertigte geschweißte Hohlprofile für den Stahlbau aus unlegierten Baustählen und aus Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und statische Werte
Dieses Dokument legt die Grenzabmaße und Formtoleranzen für kaltgeformte geschweißte Hohlprofile für den Stahlbau mit kreisförmigem, quadratischem, rechteckigem oder elliptischem Querschnitt fest; hergestellt in Wanddicken bis 40 mm und den folgenden Abmessungen:
- kreisförmig: Außendurchmesser bis zu 2 500 mm;
- quadratisch: Außendurchmesser bis zu 500 mm x 500 mm;
- rechteckig: Außendurchmesser bis zu 500 mm x 300 mm;
- elliptisch: Außendurchmesser bis zu 480 mm x 240 mm.
Die Formeln zur Berechnung der statischen Werte zur Festigkeitsauslegung der Hohlprofile, die gemäß der Grenzabmaße dieser Norm hergestellt werden, sind in Anhang A angegeben.
Die Maße und statischen Werte sind für eine begrenzte Anzahl üblicher Abmessungen in Anhang B angegeben.
ANMERKUNG Die Bezeichnung der Hauptachsen (yy) und die der Nebenachsen (zz) der Hohlprofile erfolgt in Anlehnung an die Achsenbezeichnung, die für die Festigkeitsauslegung in den Eurocodes verwendet wird.
Profils creux de construction soudés, formés à froid en aciers non alliés et à grains fins - Partie 2 : Tolérances, dimensions et caractéristiques de profil
Le présent document spécifie les tolérances pour les profils creux de construction soudés, formés à froid circulaires, carrés, rectangulaires ou elliptiques, fabriqués en épaisseur jusqu’à 40 mm, pour les gammes de dimensions suivantes :
- Circulaire : Diamètres extérieurs jusqu’à 2 500 mm ;
- Carré : Dimensions extérieures jusqu’à 500 mm x 500 mm ;
- Rectangulaire : Dimensions extérieures jusqu’à 500 mm x 300 mm ;
- Elliptique : Dimensions extérieures jusqu’à 480 mm x 240 mm.
Les formules pour le calcul des caractéristiques de section pour les profils fabriqués aux tolérances dimensionnelles de la présente norme, à utiliser pour les besoins de la conception de structures, sont données en Annexe A.
Les dimensions et les caractéristiques de section pour une gamme limitée des dimensions les plus courantes sont données à l’Annexe B.
NOTE La désignation de l’axe principal (yy) et de l’axe secondaire (zz) du profil est alignée sur la désignation des axes utilisée en conception dans les Eurocodes de construction.
Hladno oblikovani varjeni votli konstrukcijski profili iz jekla - 2. del: Mere, mejni odstopki in značilnosti profilov
Ta del standarda prEN 10219 določa mejne odstopke za hladno oblikovane krožne, kvadratne, pravokotne in ovalne votle konstrukcijske profile, izdelane z debelino sten do 40 mm, v naslednjih razponih velikosti:
Okrogli: zunanji premer do 2.500 mm
Kvadratni: zunanje dimenzije do 500 mm × 500 mm
Pravokotni: zunanje dimenzije do 500 mm × 300 mm
Ovalni: zunanje dimenzije do 480 mm × 240 mm
Formule za izračun značilnosti profilov, izdelanih v okviru dimenzijskih mejnih odstopkov tega standarda, ki se uporabljajo za projektiranje konstrukcij, so navedene v dodatku B.
Dimenzije in značilnosti profilov za omejen nabor pogostejših velikosti so navedene v dodatku B.
Splošni pogoji so določeni v standardu prEN 10219-1 (značilnosti izdelkov, preskusni postopki in merila učinkovitosti, ki veljajo v skladu z uredbami o gradbenih proizvodih) in tehničnih dobavnih pogojih v standardu prEN 10219-2.
OPOMBA: Označevanje daljše osi profila (yy) in njegove krajše osi (zz) se ujema z oznako osi, ki se uporablja za konstrukcijsko projektiranje v konstrukcijskih evrokodih.
General Information
Relations
Standards Content (Sample)
SLOVENSKI STANDARD
01-julij-2019
Nadomešča:
SIST EN 10219-2:2006
Hladno oblikovani varjeni votli konstrukcijski profili iz jekla - 2. del: Mere, mejni
odstopki in značilnosti profilov
Cold formed welded steel structural hollow sections - Part 2: Tolerances, dimensions and
sectional properties
Kaltgefertigte geschweißte Hohlprofile für den Stahlbau aus unlegierten Baustählen und
aus Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und statische Werte
Profils creux de construction soudés, formés à froid en aciers non alliés et à grains fins -
Partie 2 : Tolérances, dimensions et caractéristiques de profil
Ta slovenski standard je istoveten z: EN 10219-2:2019
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
EN 10219-2
EUROPEAN STANDARD
NORME EUROPÉENNE
May 2019
EUROPÄISCHE NORM
ICS 77.140.75
English Version
Cold formed welded steel structural hollow sections - Part
2: Tolerances, dimensions and sectional properties
Profils creux de construction soudés, formés à froid en Kaltgeformte geschweißte Hohlprofile für den Stahlbau
aciers - Partie 2 : Tolérances, dimensions et - Teil 2: Grenzabmaße, Maße und statische Werte
caractéristiques du profil
This European Standard was approved by CEN on 20 March 2019.
CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.
CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN 10219-2:2019 E
worldwide for CEN national Members.
Contents Page
European foreword . 3
1 Scope . 4
2 Normative references . 4
3 Terms and definitions . 4
4 Symbols . 4
5 Information to be obtained by the manufacturer . 5
6 Tolerances . 6
7 Measurement of size and shape . 8
8 Dimensions and sectional properties . 13
Annex A (normative) Formulae for the calculation of sectional properties . 14
A.1 General . 14
A.2 Circular hollow sections . 14
A.3 Rectangular or square, hollow sections . 15
A.4 Elliptical hollow sections . 17
Annex B (normative) Sectional properties for a limited range of standard sizes . 19
Bibliography . 44
European foreword
This document (EN 10219-2:2019) has been prepared by Technical Committee CEN/TC 459 “ECISS -
European Committee for Iron and Steel Standardization” , the secretariat of which is held by AFNOR.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by November 2019, and conflicting national standards
shall be withdrawn at the latest by November 2019.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN 10219-2:2006.
The main changes with respect to the previous edtion are listed below:
a) elliptical hollow sections were added;
b) Annex A concerning the additional tolerances for piling tubes was removed;
c) subclause 5.2 was added with one option;
d) in Table 3 the length tolerances for exact length were changed;
e) in 7.1 one paragraph was added;
f) standard was editorially revised.
This standard consists of the following parts:
— EN 10368, Steel structural hollow sections – General (Characteristics, evaluation of conformity and
marking) (in preparation)
— EN 10219-1, Cold formed welded steel structural hollow sections - Part 1: Technical delivery
conditions
— EN 10219-2, Cold formed welded steel structural hollow sections - Part 2: Tolerances, dimensions and
sectional properties
— EN 10219-3, Cold formed welded steel structural hollow sections - Part 3: Technical delivery
conditions for mechanical engineering purposes (in preparation)
It forms part of a series of standards on hollow sections together with EN 10210-1 to EN 10210-3.
According to the CEN-CENELEC Internal Regulations, the national standards organisations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia,
France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,
Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and the United Kingdom.
Through its subcommittee SC 3 “Structural steels other than reinforcements” (secretariat: DIN)
1 Scope
This document specifies tolerances for cold formed welded circular, square, rectangular and elliptical
structural hollow sections, manufactured in wall thicknesses up to 40 mm, in the following size ranges:
— circular: Outside diameters up to 2 500 mm;
— square: Outside dimensions up to 500 mm × 500 mm;
— rectangular: Outside dimensions up to 500 mm × 300 mm;
— elliptical: Outside dimensions up to 480 mm × 240 mm.
The formulae for calculating sectional properties of sections manufactured to the dimensional
tolerances of this standard, to be used for the purposes of structural design, are given in Annex A.
Dimensions and sectional properties for a limited range of more common sizes are given in Annex B.
NOTE The designation of the sections' major axis (yy) and minor axis (zz) aligns with the axis designation
used for structural design in the structural Eurocodes.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
EN 10219-1, Cold formed welded structural hollow sections of non-alloy and fine grain steels — Part 1:
Technical delivery conditions
3 Terms and definitions
For the purposes of this document, the terms and definitions given in EN 10219-1 apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— IEC Electropedia: available at http://www.electropedia.org/
— ISO Online browsing platform: available at http://www.iso.org/obp
4 Symbols
For the purposes of this document, the symbols defined in Table 1 apply.
Table 1 — Symbols and definitions
Symbol Unit Definition
A cm Cross-sectional area
A mm Area of the surface delimited by the perimeter at mid-thickness
m
A m /m Superficial area per metre length
s
B mm Specified side dimension of a square hollow section. Specified
dimension of the shorter side of a rectangular hollow section. Specified
outside dimension of an elliptical section on its minor axis
C /C mm Length of corner region of a square or rectangular hollow section
1 2
Symbol Unit Definition
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
D /D mm Maximum and minimum outside diameter of a circular hollow section
max min
measured in the same plane
e mm Deviation from straightness
H mm Specified dimension of the longer side of a rectangular hollow section.
Specified outside dimension of an elliptical section on its major axis
I cm Second moment of area
I cm Torsional inertia constant (polar moment of inertia in the case of
t
circular hollow sections only)
i cm Radius of gyration
L mm Length
M kg/m Mass per unit length
O % Out-of-roundness
P mm External perimeter of an elliptical hollow section
R mm External corner radius of a square or rectangular hollow section
T mm Specified thickness
U mm Perimeter of an elliptical hollow section at mid-thickness
V mm Total measured twist
V mm Twist measured at one end of a section
W cm Elastic section modulus
el
W cm Plastic section modulus
pl
x mm Concavity of a side of a square or rectangular hollow section
x mm Convexity of a side of a square or rectangular hollow section
yy — Axis of cross-section, major axis of a rectangular hollow section
zz — Axis of cross-section, minor axis of a rectangular hollow section
θ ° Angle between adjacent sides of a square or rectangular hollow section
5 Information to be obtained by the manufacturer
5.1 Mandatory information
The following mandatory information from this part of EN 10219 shall be obtained by the manufacturer
at the time of enquiry and order:
a) the dimensions (see Clause 8);
b) the type of length, length range or length (see Table 4);
NOTE This information is included in the list of information to be obtained by the manufacturer contained in
EN 10219-1.
5.2 Options
An option is specified in this part of EN 10219. In the event that the purchaser does not indicate a wish
to implement this at the time of enquiry and order, the manufacturer shall supply in accordance with
the basic specification.
Option 2.1 Out-of-roundness tolerances for diameter to thickness ratio exceeding 100 (see
Table 2, footnote a).
6 Tolerances
6.1 Tolerances shall not exceed the values given in Table 2 for shape and mass, Table 3 for external
corner profiles, Table 4 for manufacturer's delivered length and Table 5 for the height of the internal
and external weld bead of submerged arc welded hollow sections.
6.2 The internal corners of square and rectangular hollow sections shall be rounded.
NOTE The internal corner profile is not specified.
Table 2 — Tolerances on shape, straightness and mass
Characteristic Circular hollow Square and rectangular Elliptical hollow
sections hollow sections section
Side Tolerance
length
mm
Outside dimensions (D, ±1 % with a minimum H, ±1 % with a ±1 % with a
B and H) of ± 0,5 mm and a B < 100 minimum minimum
maximum of ± 10 mm of ± 0,5 mm of ± 0,5 mm
100 ≤ H, ±0,8 %
B ≤ 200
H, ±0,6 %
B > 200
Thickness (T) For D ≤ 406,4 mm: T ≤ 5 mm ± 10 % T ≤ 5 mm ± 10 %
T ≤ 5 mm ± 10 % T > 5 mm ± 0,5 mm T > 5 mm ± 0,5 mm
T > 5 mm ± 0,5 mm
For D > 406,4 mm:
±10 % with a
maximum of ± 2 mm
Out-of-roundness (O) 2 % for hollow — —
sections having a
diameter to thickness
ratio not exceeding
a
Concavity/convexity — Max. 0,8 % with a —
b minimum of 0,5 mm
(x , x )
1 2
Characteristic Circular hollow Square and rectangular Elliptical hollow
sections hollow sections section
Side Tolerance
length
mm
Squareness of side (θ) — 90° ± 1° —
External corner profile — See Table 3 —
(C C or R)
1, 2
Twist (V) — 2 mm plus 0,5 mm/m —
length
Straightness (e) 0,20 % of total length 0,15 % of total length and 0,20 % of total length
and 3 mm over any 3 mm over any 1 m length and 3 mm over
1 m length any 1 m length
Mass per unit length ±6 % on individual delivered lengths
(M)
a
When the diameter to thickness ratio exceeds 100, application of tolerance on out-of-roundness is not
required, unless specifically agreed (see 5.2).
b
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
Table 3 — Tolerances on external corner profiles
Dimensions in millimetres
Thickness External corner profile
T a
C , C or R
1 2
T ≤ 6 1,6T to 2,4T
6 < T ≤ 10 2,0T to 3,0T
10 < T 2,4T to 3,6T
a
The sides need not be tangential to the corner
arcs.
Table 4 — Tolerances on manufacturer's delivered length
Dimensions in millimetres
a Range of length or length L Tolerance
Type of length
Random length 4 000 < L ≤ 16 000 with a range of 10 % of sections supplied may be
2 000 per order item below the minimum for the
ordered range but not shorter
than 75 % of the minimum range
length
+50
Approximate length ≥ 4 000
mm
< 6 000 +10
mm
6 000 ≤ L ≤ 10 000 +15
b
mm
Exact length
+5
> 10 000
mm +1 mm/m
a
The manufacturer shall establish at the time of enquiry and order the type of length required and
the length range or length.
b
Common lengths available are 6 m and 12 m.
Table 5 — Tolerance on height of internal and external weld seam for submerged arc welded
hollow sections
Dimensions in millimetres
Thickness, T Maximum weld bead
height
≤ 14,2 3,5
> 14,2 4,8
7 Measurement of size and shape
7.1 General
All external dimensions, including out-of-roundness, shall be measured at a distance from the end of the
hollow section of not less than D for circular sections, B for square sections or H for rectangular and
elliptical sections, with a minimum of 100 mm.
All dimensional and shape tolerances indicated in Tables 2, 3 and 5 shall be verified according to a
procedure fixed by the manufacturer.
7.2 Outside dimensions
For circular hollow sections the diameter (D) and for elliptical hollow sections the outside dimensions
(B and H) shall be measured either directly, e.g. using a calliper gauge, or for circular tubes by
circumference tape at the discretion of the manufacturer.
The limiting cross-sectional positions for measuring B and H for square and rectangular hollow sections
are shown in Figure 1.
7.3 Thickness
The thickness (T) shall be measured at a position not less than 2T from the weld.
The limiting cross-sectional positions for measuring the thickness of square and rectangular hollow
sections are shown in Figure 1.
NOTE Thickness is normally measured within a distance of half the outside diameter or half the dimension of
the longer side from the end of the section.
Dimensions in millimetres
Key
a
This dimension is a maximum when measuring B or H and a minimum when measuring T
Figure 1 — Limiting cross-sectional positions for measuring the dimensions B, H and T for
square or rectangular hollow sections
7.4 Out-of-roundness
The out-of-roundness (O) of a circular hollow section shall be calculated from the following formula:
DD−
max min
O % × 100
( )
D
7.5 Concavity and convexity
The concavity (x ) or the convexity (x ) of the sides of a square or rectangular hollow section shall be
1 2
measured as shown in Figure 2.
The percentage concavity or convexity shall be calculated as follows:
xxxx
12 12
××××100%; 100%; 100%; 100%
B B HH
where B and H are the dimensions of the sides containing the concavity x or the convexity x .
1 2
=
Figure 2 — Measurement of concavity/convexity of square or rectangular hollow sections
7.6 Squareness of sides
The deviation from squareness of the sides of a square or rectangular hollow section shall be measured
as the difference between 90° and θ as shown in Figure 3.
Figure 3 — Squareness of sides of square or rectangular hollow sections
7.7 External corner profile
7.7.1 The external corner profile of a square or rectangular hollow section shall be measured
according to 7.7.2 or 7.7.3 at the discretion of the manufacturer.
7.7.2 The corner arc shall be measured with a radius gauge.
7.7.3 The distance between the intersection of the flat side and the corner arc and the intersection of
the projections of the flat sides to the corner (C and C in Figure 4) shall be measured.
1 2
Figure 4 — Outside corner profile of square or rectangular hollow sections
7.8 Twist
7.8.1 The twist (V) in a square or rectangular hollow section shall be determined in accordance with
7.8.2 or 7.8.3 at the discretion of the manufacturer. The twist (V) in an elliptical hollow section shall be
determined in accordance with 7.8.4.
7.8.2 The hollow section shall be placed on a horizontal surface with one side at one end pressed flat
against the surface. At the opposite end of the hollow section the difference in height of the two lower
corners from the horizontal surface (see Figure 5) shall be determined.
Figure 5 — Twist of square or rectangular hollow sections
7.8.3 The twist of square and rectangular hollow sections shall be measured with a spirit level and
micrometer gauge (screw). The reference length of the spirit level shall be the distance between the
intersection of the flat sides and the corner arcs (see Figure 6). The twist V is the difference between the
values V (see Figure 6) measured at each end of the hollow section.
Key
1 spirit level
2 H for rectangular sections, B for square sections
Figure 6 — Measurement of twist on square or rectangular hollow sections
7.8.4 The twist of elliptical hollow sections shall be measured with a spirit level and micrometer
gauge (screw). The reference length of the spirit level shall be the dimension of the sections major axis
(H). The twist V is the difference between the values V (see Figure 7) measured at each end of the
hollow section.
Key
1 spirit level
Figure 7 — Measurement of twist of elliptical hollow sections
7.9 Straightness
The deviation from straightness (e) of the total length of a hollow section shall be measured at the point
of maximum departure of the hollow section from a straight line connecting its two ends, as shown in
Figure 8 where L is the manufacturer's delivered length. The percentage deviation from straightness
shall be calculated as follows:
e
× 100 %
L
In addition the local deviation (e) from straightness of a hollow section, measured at any point along its
length from a straight line length L of 1 m, shall be not more than 3 mm.
Figure 8 — Measurement of deviation from straightness
8 Dimensions and sectional properties
The nominal sectional properties of hollow sections within the scope of this part of EN 10219 and
manufactured to the dimensional tolerances of this standard, required for the purposes of structural
design, shall be calculated in accordance with Annex A.
The sectional properties for a limited range of standard sizes of cold formed hollow sections are given
in Table B.1 for circular sections, Table B.2 for square sections, Table B.3 for rectangular sections and
Table B.4 for elliptical hollow sections. These sectional properties were calculated from the formulae
given in Annex A.
NOTE Not all sizes and thicknesses shown in Tables B.1, B.2, B.3 and B.4 are available from all manufacturers
and the user is recommended to check availability. Other sizes and thicknesses within the scope of this standard
may be available.
Annex A
(normative)
Formulae for the calculation of sectional properties
A.1 General
Tables B.1, B.2, B.3 and B.4 of this standard give nominal sectional properties for a limited range of sizes
of cold formed hollow sections. The nominal sectional properties of hollow sections supplied to the
requirements of this standard shall be calculated using the formulae given below.
NOTE The designation of the sections' major axis (yy) and minor axis (zz) aligns with the axis designation
used for structural design in the structural Eurocodes. This is a change from previous axis designations.
A.2 Circular hollow sections
The sectional properties for circular hollow sections in Table B.1 are calculated using the formulae
given below
Specified outside diameter (D) (mm)
Specified thickness (T) (mm)
Inside diameter (d = D - 2T) (mm)
These parameters, which characterize the shape of circular hollow sections, may vary within the
tolerances allowed by this standard and the sectional properties still remain valid.
Superficial area per metre (m /m)
π D
A =
s
length
Cross-sectional area 22 (cm )
π Dd−
( )
A=
4× 10
Mass per unit length M = 0,785 × A (kg/m)
Second moment of area 4 4 (cm )
π Dd−
( )
I=
64× 10
Radius of gyration (cm)
I
i=
A
Elastic section modulus (cm )
2I× 10
W =
el
D
Plastic section modulus 33 (cm )
Dd−
W =
pl
6× 10
Torsional inertia constant (cm )
II= 2
t
(polar moment of inertia)
Torsional modulus constant C = 2W (cm )
t el
A.3 Rectangular or square, hollow sections
The sectional properties for square hollow sections in Table B.2 and for rectangular hollow sections in
Table B.3 are calculated using the formulae given below
Specified side dimension of a square hollow section or shorter side of (B) (mm)
a rectangular hollow section
Specified dimension of the longer side of a rectangular hollow section (H) (mm)
Specified thickness (T) (mm)
External corner radius (r ) for calculation is:
o
for thicknesses ≤ 6 mm 2,0 T (mm)
for thicknesses > 6 mm ≤ 10 mm 2,5 T (mm)
for thicknesses > 10mm 3,0 T (mm)
Internal corner radius (r ) for calculation is:
i
for thicknesses ≤ 6 mm 1,0 T (mm)
for thicknesses > 6 mm and ≤ 10 mm 1,5 T (mm)
for thicknesses > 10 mm 2,0 T (mm)
These parameters, which characterize the geometric shape of rectangular, or square, hollow sections,
may vary within the tolerances allowed by this standard and the sectional properties still remain valid.
Superficial area per metre length (m /m)
A HB+− 4r+π r
( )
s o o
Cross-sectional area 2 2 (cm )
2T B+−H 24T − −π r − r
( ) ( )
( )
o i
A=
Mass per unit length M = 0,785A (kg/m)
Second moment of area
Major axis (cm )
B−−22T H T
( )( )
1 BH
2 2
I − −+44I Ah+ I+ A h
yy
( ) ( )
g gg ξξ ξ ξ
12 12
Minor axis (cm )
H− 2T B− 2T
( )( )
1 HB
2 2
I − −+44I Ah+ I+ A h
zz
( ) ( )
g gg ξξ ξ ξ
12 12
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
=
=
=
Elastic section modulus
Major axis (cm )
2I
yy
W = × 10
el yy
H
Minor axis (cm )
2I
zz
W = × 10
el zz
B
Plastic section modulus
Major axis 2 (cm )
B−−22T H T
( )( )
1 BH
W = − −+44Ah A h
pl yy
( ) ( )
gg ξξ
Minor axis (cm )
H− 2T B− 2T
( )( )
1 HB
W = − −+44Ah A h
pl zz
( ) ( )
gg ξξ
Torsional inertia constant (cm )
1 h
I T+ 2KA
th
10
Torsional modulus (cm )
I
t
C = 10
constant
t
T+ KT/
Where (mm )
π
Ar1−
go
(mm )
π
Ar1−
ξ i
Major axis (mm)
H 10− 3π
h − r
go
2 12-3π
(For minor axis substitute B for H.)
Major axis (mm)
HT−−2 10 3π
hr−
ξ i
2 12-3π
(For minor axis substitute B for H.)
(mm )
11π
Ir= −−
go
3 16
3 12− 3π
( )
(mm )
11π
Ir= −−
ξξ i
3 16
3 12− 3π
( )
h = 2[(B – T) + (H – T)] – 2Rc(4 - π) (mm)
A = (B – T) (H – T)] – R (4 - π) (mm)
h c
(mm )
2AT
h
K=
h
=
=
=
=
=
(mm)
rr+
oi
R =
c
A.4 Elliptical hollow sections
The sectional properties for elliptical hollow sections in Table B.4 are calculated using the formulae
given below
Specified outside dimension of an elliptical section on its major axis (H) (mm)
Specified outside dimension of an elliptical section on its minor axis (B) (mm)
Specified thickness (T) (mm)
These parameters, which characterize the geometric shape of elliptical hollow sections, may vary
within the tolerances allowed by this standard and the sectional properties still remain valid.
Superficial area (m /m)
P
A =
s
Cross sectional area (cm )
π HB−−H 2T B− 2T
( )( )
A=
4× 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
Major axis 4
3 π
(cm )
BH − B− 22T H− T
( )( )
I =
yy
Minor axis 4
3π
(cm )
HB −−H 2T B− 2T
( )( )
I =
zz
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
Major axis 3
20I
yy (cm )
W =
elyy
H
Minor axis 3
20I
(cm )
zz
W =
elzz
B
Plastic section modulus
Major axis 3
(cm )
H B−−H 2T B− 2T
( ) ( )
W =
plyy
6× 10
Minor axis 2 3
(cm )
BH− B− 22T H− T
( ) ( )
W =
plzz
6× 10
Torsional inertia 2 4
4 AT
(cm )
1 UT
m
I +
constant
t
U 3
Torsional modulus (cm )
constant
10I
t
C =
t
2A
m
T+
U
where (mm )
π H− T BT−
( )( )
A =
m
(mm)
2
π H− B
P= HB++1 0,25
( )
2 HB+
2 (mm)
π H− B
U HB+− 2T 1+ 0,25
( )
22HB+− T
=
=
Annex B
(normative)
Sectional properties for a limited range of standard sizes
Table B.1 — Nominal dimensions and sectional properties of a limited range of circular hollow
sections (see Figure B.1)
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
21,3 2,0 0,95 1,21 0,571 0,686 0,536 0,748 1,14 1,07 0,067 1050
21,3 2,5 1,16 1,48 0,664 0,671 0,623 0,889 1,33 1,25 0,067 863
21,3 3,0 1,35 1,72 0,741 0,656 0,696 1,01 1,48 1,39 0,067 739
26,9 2,0 1,23 1,56 1,22 0,883 0,907 1,24 2,44 1,81 0,085 814
26,9 2,5 1,50 1,92 1,44 0,867 1,07 1,49 2,88 2,14 0,085 665
26,9 3,0 1,77 2,25 1,63 0,852 1,21 1,72 3,27 2,43 0,085 566
33,7 2,0 1,56 1,99 2,51 1,12 1,49 2,01 5,02 2,98 0,106 640
33,7 2,5 1,92 2,45 3,00 1,11 1,78 2,44 6,00 3,56 0,106 520
33,7 3,0 2,27 2,89 3,44 1,09 2,04 2,84 6,88 4,08 0,106 440
42,4 2,0 1,99 2,54 5,19 1,43 2,45 3,27 10,4 4,90 0,133 502
42,4 2,5 2,46 3,13 6,26 1,41 2,95 3,99 12,5 5,91 0,133 407
42,4 3,0 2,91 3,71 7,25 1,40 3,42 4,67 14,5 6,84 0,133 343
42,4 4,0 3,79 4,83 8,99 1,36 4,24 5,92 18,0 8,48 0,133 264
48,3 2,0 2,28 2,91 7,81 1,64 3,23 4,29 15,6 6,47 0,152 438
48,3 2,5 2,82 3,60 9,46 1,62 3,92 5,25 18,9 7,83 0,152 354
48,3 3,0 3,35 4,27 11,0 1,61 4,55 6,17 22,0 9,11 0,152 298
48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,5 11,4 0,152 229
48,3 5,0 5,34 6,80 16,2 1,54 6,69 9,42 32,3 13,4 0,152 187
60,3 2,0 2,88 3,66 15,6 2,06 5,17 6,80 31,2 10,3 0,189 348
60,3 2,5 3,56 4,54 19,0 2,05 6,30 8,36 38,0 12,6 0,189 281
60,3 3,0 4,24 5,40 22,2 2,03 7,37 9,86 44,4 14,7 0,189 236
60,3 4,0 5,55 7,07 28,2 2,00 9,34 12,7 56,3 18,7 0,189 180
60,3 5,0 6,82 8,69 33,5 1,96 11,1 15,3 67,0 22,2 0,189 147
76,1 2,0 3,65 4,66 32,0 2,62 8,40 11,0 64,0 16,8 0,239 274
76,1 2,5 4,54 5,78 39,2 2,60 10,3 13,5 78,4 20,6 0,239 220
76,1 3,0 5,41 6,89 46,1 2,59 12,1 16,0 92,2 24,2 0,239 185
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
76,1 4,0 7,11 9,06 59,1 2,55 15,5 20,8 118 31,0 0,239 141
76,1 5,0 8,77 11,2 70,9 2,52 18,6 25,3 142 37,3 0,239 114
76,1 6,0 10,4 13,2 81,8 2,49 21,5 29,6 164 43,0 0,239 96,4
76,1 6,3 10,8 13,8 84,8 2,48 22,3 30,8 170 44,6 0,239 92,2
88,9 2,0 4,29 5,46 51,6 3,07 11,6 15,1 103 23,2 0,279 233
88,9 2,5 5,33 6,79 63,4 3,06 14,3 18,7 127 28,5 0,279 188
88,9 3,0 6,36 8,10 74,8 3,04 16,8 22,1 150 33,6 0,279 157
88,9 4,0 8,38 10,7 96,3 3,00 21,7 28,9 193 43,3 0,279 119
88,9 5,0 10,3 13,2 116 2,97 26,2 35,2 233 52,4 0,279 96,7
88,9 6,0 12,3 15,6 135 2,94 30,4 41,3 270 60,7 0,279 81,5
88,9 6,3 12,8 16,3 140 2,93 31,5 43,1 280 63,1 0,279 77,9
101,6 2,0 4,91 6,26 77,6 3,52 15,3 19,8 155 30,6 0,319 204
101,6 2,5 6,11 7,78 95,6 3,50 18,8 24,6 191 37,6 0,319 164
101,6 3,0 7,29 9,29 113 3,49 22,3 29,2 226 44,5 0,319 137
101,6 4,0 9,63 12,3 146 3,45 28,8 38,1 293 57,6 0,319 104
101,6 5,0 11,9 15,2 177 3,42 34,9 46,7 355 69,9 0,319 84,0
101,6 6,0 14,1 18,0 207 3,39 40,7 54,9 413 81,4 0,319 70,7
101,6 6,3 14,8 18,9 215 3,38 42,3 57,3 430 84,7 0,319 67,5
114,3 2,5 6,89 8,78 137 3,95 24,0 31,3 275 48,0 0,359 145
114,3 3,0 8,23 10,5 163 3,94 28,4 37,2 325 56,9 0,359 121
114,3 4,0 10,9 13,9 211 3,90 36,9 48,7 422 73,9 0,359 91,9
114,3 5,0 13,5 17,2 257 3,87 45,0 59,8 514 89,9 0,359 74,2
114,3 6,0 16,0 20,4 300 3,83 52,5 70,4 600 105 0,359 62,4
114,3 6,3 16,8 21,4 313 3,82 54,7 73,6 625 109 0,359 59,6
114,3 8,0 21,0 26,7 379 3,77 66,4 90,6 759 133 0,359 47,7
139,7 3,0 10,1 12,9 301 4,83 43,1 56,1 602 86,2 0,439 98,9
139,7 4,0 13,4 17,1 393 4,80 56,2 73,7 786 112 0,439 74,7
139,7 5,0 16,6 21,2 481 4,77 68,8 90,8 961 138 0,439 60,2
139,7 6,0 19,8 25,2 564 4,73 80,8 107 1 129 162 0,439 50,5
139,7 6,3 20,7 26,4 589 4,72 84,3 112 1 177 169 0,439 48,2
139,7 8,0 26,0 33,1 720 4,66 103 139 1 441 206 0,439 38,5
139,7 10,0 32,0 40,7 862 4,60 123 169 1 724 247 0,439 31,3
168,3 3,0 12,2 15,6 532 5,85 63,3 82,0 1 065 127 0,529 81,8
168,3 4,0 16,2 20,6 697 5,81 82,8 108 1 394 166 0,529 61,7
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
168,3 5,0 20,1 25,7 856 5,78 102 133 1 712 203 0,529 49,7
168,3 6,0 24,0 30,6 1 009 5,74 120 158 2 017 240 0,529 41,6
168,3 6,3 25,2 32,1 1 053 5,73 125 165 2 107 250 0,529 39,7
168,3 8,0 31,6 40,3 1 297 5,67 154 206 2 595 308 0,529 31,6
168,3 10,0 39,0 49,7 1 564 5,61 186 251 3 128 372 0,529 25,6
177,8 4,0 17,1 21,8 825 6,15 92,8 121 1 650 186 0,559 58,3
177,8 5,0 21,3 27,1 1 014 6,11 114 149 2 028 228 0,559 46,9
177,8 6,0 25,4 32,4 1 196 6,08 135 177 2 392 269 0,559 39,3
177,8 6,3 26,6 33,9 1 250 6,07 141 185 2 499 281 0,559 37,5
177,8 8,0 33,5 42,7 1 541 6,01 173 231 3 083 347 0,559 29,9
177,8 10,0 41,4 52,7 1 862 5,94 209 282 3 724 419 0,559 24,2
177,8 12,0 49,1 62,5 2 159 5,88 243 330 4 318 486 0,559 20,4
177,8 12,5 51,0 64,9 2 230 5,86 251 342 4 460 502 0,559 19,6
193,7 4,0 18,7 23,8 1 073 6,71 111 144 2 146 222 0,609 53,4
193,7 5,0 23,3 29,6 1 320 6,67 136 178 2 640 273 0,609 43,0
193,7 6,0 27,8 35,4 1 560 6,64 161 211 3 119 322 0,609 36,0
193,7 6,3 29,1 37,1 1 630 6,63 168 221 3 260 337 0,609 34,3
193,7 8,0 36,6 46,7 2 016 6,57 208 276 4 031 416 0,609 27,3
193,7 10,0 45,3 57,7 2 442 6,50 252 338 4 883 504 0,609 22,1
193,7 12,0 53,8 68,5 2 839 6,44 293 397 5 678 586 0,609 18,6
193,7 12,5 55,9 71,2 2 934 6,42 303 411 5 869 606 0,609 17,9
219,1 4,0 21,2 27,0 1 564 7,61 143 185 3 128 286 0,688 47,1
219,1 5,0 26,4 33,6 1 928 7,57 176 229 3 856 352 0,688 37,9
219,1 6,0 31,5 40,2 2 282 7,54 208 273 4 564 417 0,688 31,7
219,1 6,3 33,1 42,1 2 386 7,53 218 285 4 772 436 0,688 30,2
219,1 8,0 41,6 53,1 2 960 7,47 270 357 5 919 540 0,688 24,0
219,1 10,0 51,6 65,7 3 598 7,40 328 438 7 197 657 0,688 19,4
219,1 12,0 61,3 78,1 4 200 7,33 383 515 8 400 767 0,688 16,3
219,1 12,5 63,7 81,1 4 345 7,32 397 534 8 689 793 0,688 15,7
244,5 5,0 29,5 37,6 2 699 8,47 221 287 5 397 441 0,768 33,9
244,5 6,0 35,3 45,0 3 199 8,43 262 341 6 397 523 0,768 28,3
244,5 6,3 37,0 47,1 3 346 8,42 274 358 6 692 547 0,768 27,0
244,5 8,0 46,7 59,4 4 160 8,37 340 448 8 321 681 0,768 21,4
244,5 10,0 57,8 73,7 5 073 8,30 415 550 10 150 830 0,768 17,3
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
244,5 12,0 68,8 87,7 5 938 8,23 486 649 11 880 972 0,768 14,5
244,5 12,5 71,5 91,1 6 147 8,21 503 673 12 300 1 006 0,768 14,0
273,0 5,0 33,0 42,1 3 781 9,48 277 359 7 562 554 0,858 30,3
273,0 6,0 39,5 50,3 4 487 9,44 329 428 8 974 657 0,858 25,3
273,0 6,3 41,4 52,8 4 696 9,43 344 448 9 392 688 0,858 24,1
273,0 8,0 52,3 66,6 5 852 9,37 429 562 11 700 857 0,858 19,1
273,0 10,0 64,9 82,6 7 154 9,31 524 692 14 310 1 048 0,858 15,4
273,0 12,0 77,2 98,4 8 396 9,24 615 818 16 790 1 230 0,858 12,9
273,0 12,5 80,3 102 8 697 9,22 637 849 17 400 1 274 0,858 12,5
323,9 5,0 39,3 50,1 6 369 11,3 393 509 12 740 787 1,02 25,4
323,9 6,0 47,0 59,9 7 572 11,2 468 606 15 150 935 1,02 21,3
323,9 6,3 49,3 62,9 7 929 11,2 490 636 15 860 979 1,02 20,3
323,9 8,0 62,3 79,4 9 910 11,2 612 799 19 820 1 224 1,02 16,0
323,9 10,0 77,4 98,6 12 160 11,1 751 986 24 320 1 501 1,02 12,9
323,9 12,0 92,3 118 14 320 11,0 884 1 168 28 640 1 768 1,02 10,8
323,9 12,5 96,0 122 14 850 11,0 917 1 213 29 690 1 833 1,02 10,4
355,6 5,0 43,2 55,1 8 464 12,4 476 615 16 930 952 1,12 23,1
355,6 6,0 51,7 65,9 10 070 12,4 566 733 20 140 1 133 1,12 19,3
355,6 6,3 54,3 69,1 10 550 12,4 593 769 21 090 1 186 1,12 18,4
355,6 8,0 68,6 87,4 13 200 12,3 742 967 26 400 1 485 1,12 14,6
355,6 10,0 85,2 109 16 220 12,2 912 1 195 32 450 1 825 1,12 11,7
355,6 12,0 102 130 19 140 12,2 1076 1 417 38 280 2 153 1,12 9,83
355,6 12,5 106 135 19 850 12,1 1 117 1 472 39 700 2 233 1,12 9,45
355,6 16,0 134 171 24 660 12,0 1 387 1 847 49 330 2 774 1,12 7,46
355,6 20,0 166 211 29 800 11,9 1 676 2 255 59 580 3 351 1,12 6,04
406,4 6,0 59,2 75,5 15 130 14,2 745 962 30 260 1 489 1,28 16,9
406,4 6,3 62,2 79,2 15 850 14,1 780 1 009 31 700 1 560 1,28 16,1
406,4 8,0 78,6 100 19 870 14,1 978 1 270 39 750 1 956 1,28 12,7
406,4 10,0 97,8 125 24 480 14,0 1 205 1 572 48 950 2 409 1,28 10,2
406,4 12,0 117 149 28 940 14,0 1 424 1 867 57 870 2 848 1,28 8,57
406,4 12,5 121 155 30 030 13,9 1 478 1 940 60 060 2 956 1,28 8,24
406,4 16,0 154 196 37 450 13,8 1 843 2 440 74 900 3 686 1,28 6,49
406,4 20,0 191 243 45 430 13,7 2 236 2 989 90 860 4 472 1,28 5,25
406,4 25,0 235 300 54 700 13,5 2 692 3 642 109 400 5 384 1,28 4,25
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
457,0 6,0 66,7 85,0 21 620 15,9 946 1 220 43 240 1 892 1,44 15,0
457,0 6,3 70,0 89,2 22 650 15,9 991 1 280 45 310 1 983 1,44 14,3
457,0 8,0 88,6 113 28 450 15,9 1 245 1 613 56 900 2 490 1,44 11,3
457,0 10,0 110 140 35 090 15,8 1 536 1 998 70 180 3 071 1,44 9,07
457,0 12,0 132 168 41 560 15,7 1 819 2 377 83 110 3 637 1,44 7,59
457,0 12,5 137 175 43 150 15,7 1 888 2 470 86 290 3 776 1,44 7,30
457,0 16,0 174 222 53 960 15,6 2 361 3 113 107 900 4 723 1,44 5,75
457,0 20,0 216 275 65 680 15,5 2 874 3 822 131 400 5 749 1,44 4,64
457,0 25,0 266 339 79 420 15,3 3 475 4 671 158 800 6 951 1,44 3,75
457,0 30,0 316 402 92 170 15,1 4 034 5 479 184 400 8 068 1,44 3,17
508,0 6,0 74,3 94,6 29 810 17,7 1 174 1 512 59 620 2 347 1,60 13,5
508,0 6,3 77,9 99,3 31 250 17,7 1 230 1 586 62 490 2 460 1,60 12,8
508,0 8,0 98,6 126 39 280 17,7 1 546 2 000 78 560 3 093 1,60 10,1
508,0 10,0 123 156 48 520 17,6 1 910 2 480 97 040 3 820 1,60 8,14
508,0 12,0 147 187 57 540 17,5 2 265 2 953 115 100 4 530 1,60 6,81
508,0 12,5 153 195 59 760 17,5 2 353 3 070 119 500 4 705 1,60 6,55
508,0 16,0 194 247 74 910 17,4 2 949 3 874 149 800 5 898 1,60 5,15
508,0 20,0 241 307 91 430 17,3 3 600 4 766 182 900 7 199 1,60 4,15
508,0 25,0 298 379 111 000 17,1 4 367 5 837 221 800 8 734 1,60 3,36
508,0 30,0 354 451 129 200 16,9 5 086 6 864 258 400 10 170 1,60 2,83
610,0 6,0 89,4 114 51 920 21,4 1 702 2 189 103 900 3 405 1,92 11,2
610,0 6,3 93,8 119 54 440 21,3 1 785 2 296 108 900 3 570 1,92 10,7
610,0 8,0 119 151 68 550 21,3 2 248 2 899 137 100 4 495 1,92 8,42
610,0 10,0 148 188 84 850 21,2 2 782 3 600 169 700 5 564 1,92 6,76
610,0 12,0 177 225 100 800 21,1 3 305 4 292 201 700 6 611 1,92 5,65
610,0 12,5 184 235 104 800 21,1 3 435 4 463 209 000 6 869 1,92 5,43
610,0 16,0 234 299 131 800 21,0 4 321 5 647 263 600 8 641 1,92 4,27
610,0 20,0 291 371 161 500 20,9 5 295 6 965 323 000 10 590 1,92 3,44
610,0 25,0 361 459 196 900 20,7 6 456 8 561 393 800 12 910 1,92 2,77
610,0 30,0 429 547 230 500 20,5 7 557 10 100 461 000 15 110 1,92 2,33
711,0 6,0 104 133 82 570 24,9 2 323 2 982 165 100 4 645 2,23 9,59
711,0 6,3 109 139 86 590 24,9 2 436 3 129 173 200 4 871 2,23 9,13
711,0 8,0 139 177 109 200 24,9 3 071 3 954 218 300 6 141 2,23 7,21
711,0 10,0 173 220 135 300 24,8 3 806 4 914 270 600 7 612 2,23 5,78
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickness per sectional moment of section section inertia modulus ficial length
diameter unit area of area gyration modulus modulus constant constant area per
length per tonne
metre
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
711,0 12,0 207 264 161 000 24,7 4 529 5 864 322 000 9 057 2,23 4,83
711,0 12,5 215 274 167 300 24,7 4 707 6 099 334 700 9 415 2,23 4,64
711,0 16,0 274 349 211 000 24,6 5 936 7 730 422 100 11 870 2,23 3,65
711,0 20,0 341 434 259 400 24,4 7 295 9 552 518 700 14 590 2,23 2,93
711,0 25,0 423 539 317 400 24,3 8 927 11 770 634 700 17 850 2,23 2,36
711,0 30,0 504 642 372 800 24,1 10 490 13 920 745 600 21 000 2,23 1,98
762,0 6,0 112 143 101 800 26,7 2 672 3 429 20 360 5 345 2,39 8,94
762,0 6,3 117 150 106 800 26,7 2 803 3 598 213 600 5 605 2,39 8,52
762,0 8,0 149 190 134 700 26,7 3 535 4 548 269 400 7 070 2,39 6,72
762,0 10,0 185 236 167 000 26,6 4 384 5 655 334 100 8 768 2,39 5,39
762,0 12,0 222 283 198 900 26,5 5 219 6 751 397 700 10 440 2,39 4,51
762,0 12,5 231 294 206 700 26,5 5 426 7 023 413 500 10 900 2,39 4,33
762,0 16,0 294 375 261 000 26,4 6 850 8 906 522 000 13 700 2,39 3,40
762,0 20,0 366 466 321 100 26,2 8 427 11 000 642 200 16 860 2,39 2,73
762,0 25,0 454 579 393 500 26,1 10 327 13 580 786 900 20 650 2,39 2,20
762,0 30,0 542 690 462 900 25,9 12 148 16 080 925 700 24 300 2,39 1,85
813,0 8,0 159 202 163 900 28,5 4 032 5 184 327 800 8 064 2,55 6,30
813,0 10,0 198 252 203 400 28,4 5 003 6 448 406 700 10 010 2,55 5,05
813,0 12,0 237 302 242 200 28,3 5 959 7 700 484 500 11 930 2,55 4,22
813,0 12,5 247 314 251 900 28,3 6 196 8 011 503 700 12 400 2,55 4,05
813,0 16,0 314 401 318 200 28,2 7 828 10 170 636 400 15 660 2,55 3,18
813,0 20,0 391 498 392 000 28,0 9 641 12 600 783 800 19 280 2,55 2,56
813,0 25,0 486 619 480 900 27,9 11 829 15 530 961 700 23 660 2,55 2,06
813,0 30,0 579 738 566 400 27,7 13 933 18 400 1 133 000 27 870 2,55 1,73
914,0 8,0 179 228 233 700 32,0 5 113 6 567 467 300 10 230 2,87 5,59
914,0 10,0 223 284 290 200 32,0 6 349 8 172 580 300 12 700 2,87 4,49
914,0 12,0 267 340 345 890 31,9 7 569 9 764 691 800 15 140 2,87 3,75
914,0 12,5 278 354 359 700 31,9 7 871 10 160 719 400 15 740 2,87 3,60
914,0 16,0 354 451 455 100 31,8 9 959 12 900 910 300 19 920 2,87 2,82
914,0 20,0 441 562 561 500 31,6 12 286 15 990 1 123 000 24 570 2,87 2,27
914,0 25,0 548 698 690 300 31,4 15 105 19 760 1 381 000 30 210 2,87 1,82
914,0 30,0 654 833 814 800 31,3 17 829 23 450 1 630 000 35 660 2,87 1,53
1 016,0 8,0 199 253 321 800 35,6 6 334 8 129 6 436 000 12 670 3,19 5,03
1 016,0 10,0 248 316 399 900 35,6 7 871 10 120 799 700 15 740 3,19 4,03
Specified Specified Mass Cross- Second Radius Elastic Plastic Torsional Torsional Super- Nominal
outside thickne
...








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