SIST EN 10210-2:2019
(Main)Hot finished steel structural hollow sections - Part 2: Tolerances, dimensions and sectional properties
Hot finished steel structural hollow sections - Part 2: Tolerances, dimensions and sectional properties
This part of prEN 10210 specifies tolerances for hot finished circular, square, rectangular and elliptical structural hollow sections, manufactured in wall thicknesses up to 120 mm, in the following size ranges:
Circular: Outside diameters up to 2 500 mm
Square: Outside dimensions up to 800 mm x 800 mm
Rectangular: Outside dimensions up to 750 mm x 500 mm
Elliptical: Outside dimensions up to 500 mm x 250 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 covering the more common sizes are given in Annex B.
The general conditions are specified in prEN 10210-1 (product characteristics, test methods and performance criteria that apply under the Construction Products Regulations) and the technical delivery conditions in prEN 10210-2.
NOTE The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation used for structural design in the structural Eurocodes.
Warmgefertigte Hohlprofile für den Stahlbau - Teil 2: Grenzabmaße, Maße und statische Werte
Dieser Teil der EN 10210 enthält die Anforderungen an die Grenzabmaße und Formtoleranzen von warmgefertigten Hohlprofilen für den Stahlbau mit kreisförmigem, quadratischem, rechteckigem oder elliptischen Querschnitt; hergestellt in Wanddicken bis 120 mm und den folgenden Abmessungen,
kreisförmig: Außendurchmesser bis zu 2 500 mm
quadratisch: Außendurchmesser bis zu 800 mm x 800 mm
rechteckig: Außendurchmesser bis zu 750 mm x 500 mm
elliptisch: Außendurchmesser bis zu 500 mm x 250 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 Reihe von Standardabmessungen in Anhang B angegeben..
Die allgemeinen Bedingungen sind in EN 10210-1 (Erzeugnismerkmale, Prüfkriterien und Leistungskriterien gemäß der Bauproduktenverordnung) und die allgemeinen technischen Lieferbedingungen sind in EN 10210-2 festgelegt.
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 finis à chaud en aciers - Partie 2 : Tolérances, dimensions et caractéristiques de section
Le présent document spécifie les tolérances pour les profils creux de construction finis à chaud circulaires, carrés, rectangulaires ou elliptiques, fabriqués en épaisseur jusqu’à 120 mm, pour les gammes de dimensions suivantes :
- Circulaire : Diamètres extérieurs jusqu’à 2 500 mm ;
- Carré : Dimensions extérieures jusqu’à 800 mm x 800 mm ;
- Rectangulaire : Dimensions extérieures jusqu’à 750 mm x 500 mm ;
- Elliptique : Dimensions extérieures jusqu’à 500 mm x 250 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 couvrant les dimensions les plus courantes sont données à l’Annexe B.
NOTE Les désignations de l’axe principal (yy) et de l’axe secondaire (zz) du profil sont alignées sur la désignation des axes utilisée en conception dans les Eurocodes de construction.
Vroče izdelani votli konstrukcijski profili iz jekla - 2. del: Mere, mejni odstopki in značilnosti profilov
Ta del standarda prEN 10210 določa tolerance za vroče izdelane okrogle, kvadratne, pravokotne in ovalne konstrukcijske votle profile, izdelane z debelino sten do 120 mm v naslednjih razponih velikosti:
Okrogli: zunanji premer do 2.500 mm
Kvadratni: zunanje dimenzije do 800 mm × 800 mm
Pravokotni: zunanje dimenzije do 750 mm × 500 mm
Ovalni: zunanje dimenzije do 500 mm × 250 mm
Formule za izračun značilnosti profilov, izdelanih v okviru dimenzijskih mejnih odstopkov tega standarda, ki se uporabljajo za projektiranje konstrukcij, so navedene v dodatku A.
Mere in značilnosti profilov za omejen nabor, ki obsega pogostejše velikosti, so navedene v dodatku B.
Splošni pogoji so določeni v standardu prEN 10210-1 (značilnosti izdelkov, preskusni postopki in merila učinkovitosti, ki veljajo v skladu z uredbami o gradbenih proizvodih) in tehničnih dobavnih pogojih v standardu prEN 10210-2.
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
Buy Standard
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN 10210-2:2019
01-julij-2019
Nadomešča:
SIST EN 10210-2:2006
SIST EN 10210-2:2006/AC:2007
Vroče izdelani votli konstrukcijski profili iz jekla - 2. del: Mere, mejni odstopki in
značilnosti profilov
Hot finished steel structural hollow sections - Part 2: Tolerances, dimensions and
sectional properties
Warmgefertigte Hohlprofile für den Stahlbau - Teil 2: Grenzabmaße, Maße und statische
Werte
Profils creux de construction finis à chaud en aciers - Partie 2 : Tolérances, dimensions
et caractéristiques de section
Ta slovenski standard je istoveten z: EN 10210-2:2019
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
SIST EN 10210-2:2019 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN 10210-2:2019
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SIST EN 10210-2:2019
EN 10210-2
EUROPEAN STANDARD
NORME EUROPÉENNE
May 2019
EUROPÄISCHE NORM
ICS 77.140.75 Supersedes EN 10210-2:2006
English Version
Hot finished steel structural hollow sections - Part 2:
Tolerances, dimensions and sectional properties
Profils creux de construction finis à chaud en aciers - Warmgefertigte Hohlprofile für den Stahlbau - Teil 2:
Partie 2 : Tolérances, dimensions et caractéristiques de Grenzabmaße, Maße und statische Werte
section
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 10210-2:2019 E
worldwide for CEN national Members.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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 . 6
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, including square, hollow sections . 15
A.4 Elliptical hollow sections . 17
Annex B (normative) Sectional properties for a limited range of standard sizes . 19
2
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
European foreword
This document (EN 10210-2:2019) has been prepared by Technical Committee CEN/TC 459 “ECISS -
1
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 10210-2:2006.
The main changes with respect to the previous edtion are listed below:
a) paragraph 5.2 two options were added;
b) in Table 2 the mass tolerances were changed;
c) Figure 2 was updated;
d) for Tables B.1, B.2 and B.3 larger sizes and wall thicknesses were added;
e) 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 10210-1, Hot finished steel structural hollow sections — Part 1: Technical delivery conditions
— EN 10210-2, Hot finished steel structural hollow sections — Part 2: Tolerances, dimensions and
sectional properties
— EN 10210-3, Hot finished 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 10219-1 to EN 10219-3.
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.
1
Through its subcommittee SC 3 “Structural steels other than reinforcements” (secretariat: DIN)
3
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
1 Scope
This document specifies tolerances for hot finished circular, square, rectangular and elliptical structural
hollow sections, manufactured in wall thicknesses up to 120 mm, in the following size ranges:
— Circular: Outside diameters up to 2 500 mm;
— Square: Outside dimensions up to 800 mm × 800 mm;
— Rectangular: Outside dimensions up to 750 mm × 500 mm;
— Elliptical: Outside dimensions up to 500 mm × 250 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 covering the 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 10210-1, Hot finished 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 10210-1 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
2
A cm Cross-sectional area
Area of the surface delimited by the perimeter at mid-
2
A mm
m
thickness
2
A m /m Superficial area per metre length
s
Specified side dimension of a square hollow section.
B mm
Specified dimension of the shorter side of a rectangular
4
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Symbol Unit Definition
hollow section. Specified outside dimension of an elliptical
section on its minor axis
Length of corner region of a square or rectangular hollow
C /C mm
1 2
section
3
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
Maximum and minimum outside diameter of a circular
D /D mm
max min
hollow section measured in the same plane
e mm Deviation from straightness
Specified dimension of the longer side of a rectangular
H mm hollow section. Specified outside dimension of an elliptical
section on its major axis
4
I cm Second moment of area
Torsional inertia constant (polar moment of inertia in the
4
I cm
t
case of 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
External corner radius of a square or rectangular hollow
R mm
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
1
3
W cm Elastic section modulus
el
3
W cm Plastic section modulus
pl
Concavity of a side of a square or rectangular hollow
x mm
1
section
Convexity of a side of a square or rectangular hollow
x mm
2
section
Axis of cross-section, major axis of a rectangular hollow
yy —
section
Axis of cross-section, minor axis of a rectangular hollow
zz —
section
Angle between adjacent sides of a square or rectangular
θ °
hollow section
5
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
5 Information to be obtained by the manufacturer
5.1 Mandatory information
The following mandatory information from this part of EN 10210 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 3).
NOTE This Information is included in the list of information to be obtained by the manufacturer contained in
EN 10210-1.
5.2 Options
Options are specified in this part of EN 10210. In the event that the purchaser does not indicate a wish
to implement one of these options at the time of enquiry and order, the manufacturer shall supply in
accordance with the basic specification.
+150
Option 2.1
The tolerance on approximate length shall be mm (see Table 3).
0
Option 2.2 Tolerance of external corner radius of 2T maximum at each corner.
Option 2.3 Out-of-roundness tolerances for diameter to thickness ratio exceeding 100 (see
Table 2, footnote d).
6 Tolerances
6.1 Tolerances shall not exceed the values given in Table 2 for shape, straightness and mass, Table 3
for manufacturer's delivered length and Table 4 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, except in the
case of EW sections for a corner containing the weld, should the weld be located in the corner region.
NOTE The internal corner profile is not specified.
6
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Table 2 — Tolerances on shape, straightness and mass
Square and
Circular hollow Elliptical hollow
Characteristic rectangular hollow
sections sections
sections
±1 % with a minimum
Outside dimensions (D, B,
a
of ± 0,5 mm and a ±1 % with a minimum of ± 0,5 mm
H)
maximum of ± 10 mm
b c
Thickness (T) - 10 %
2 % for hollow sections
having a diameter to
Out-of-roundness (O) —
thickness ratio not
d
exceeding 100
Concavity/Convexity (x ,
1
— 1 % —
e
x )
2
Squareness of side (θ) — 90° ± 1° —
External corner profile 3T maximum at each
— —
f
(C , C or R) corner
1 2
a
Twist (V) — 2 mm plus 0,5 mm/m length
a
Straightness (e) 0,2 % of total length and 3 mm over any 1 m length
Mass (M) - 6 %/+ 8 % on individual delivered lengths
a
For elliptical hollow sections of sizes H < 250 mm, the permitted tolerance is twice the value given in this
table.
b
The positive deviation is limited by the tolerance on mass.
c
For seamless sections thicknesses of less than 10 % but not less than 12,5 % of the nominal thickness may
occur in smooth transition areas over not more than 25 % of the circumference.
d
When the diameter to thickness ratio exceeds 100, application of tolerance on out-of-roundness is not
required, unless specifically agreed (see 5.2).
e
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
f
The sides need not be tangential to the corner arcs.
7
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Table 3 — Tolerances on manufacturer's delivered length
Dimensions in millimetres
a
Type of length Range of length or length L Tolerance
10 % of sections supplied may
be below the minimum for the
4 000 ≤ L ≤ 16 000 with a range
Random length ordered range but not shorter
of 2 000 per order item
than 75 % of the minimum
range length
b
Approximate length 4 000 ≤ L ≤ 16 000 ±500 mm
+10
mm
2 000 ≤ L ≤ 6 000
0
Exact length
c +15
6 000 < L
mm
0
a
The manufacturer shall establish at the time of enquiry and order the type of length required and the length
range or length.
+150
b
Option 3.1 the tolerance on approximate length is mm.
0
c
Common lengths available are 6 m and 12 m.
Table 4 — 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.
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) of welded hollow sections 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.
8
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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
1 2 1 2
××××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
9
=
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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.
10
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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.
1
11
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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
1
hollow section.
Key
1 spirit level
Figure 7 — Measurement of twist of elliptical hollow sections
12
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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 10210 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 hot finished circular, square,
rectangular and elliptical 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 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.
13
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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 hot finished 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.
2
Superficial area per metre (m /m)
π D
A =
s
length
3
10
2
Cross-sectional area 22 (cm )
π Dd−
( )
A =
2
4 × 10
Mass per unit length M = 0,785 × A (kg/m)
4
Second moment of area 4 4 (cm )
π Dd−
( )
I =
4
64 × 10
Radius of gyration (cm)
I
i =
A
3
Elastic section modulus (cm )
2I × 10
W =
el
D
3
33
Plastic section modulus (cm )
Dd−
W =
pl
3
6 × 10
4
Torsional inertia constant (cm )
II= 2
t
(polar moment of inertia)
3
Torsional modulus constant C = 2W (cm )
t el
14
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
A.3 Rectangular, including 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 (B) (mm)
of a rectangular hollow section
Specified dimension of the longer side of a rectangular hollow (H) (mm)
section
Specified thickness (T) (mm)
External corner radius (r ) for calculation is: (r = 1,5T) (mm)
o o
Internal corner radius (ri) for calculation is: (ri = 1,0T) (mm)
These parameters, which characterize the geometric shape of rectangular, including square, hollow
sections, may vary within the tolerances allowed by this standard and the sectional properties still
remain valid.
2
Superficial area per metre length (m /m)
2
A HB+− 4r + π r
( )
s o o
3
10
2
Cross-sectional area 2 2 (cm )
2T B+−H 24T − − π r − r
( ) ( )
( )
o i
A =
2
10
Mass per unit length M = 0,785A (kg/m)
Second moment of area
4
Major axis 3 (cm )
3
B−−22T H T
( ) ( )
1 BH
2 2
I − −+44I Ah + I + A h
yy
( ) ( )
g gg ξξ ξ ξ
4
12 12
10
4
Minor axis (cm )
3
3
H− 2T B− 2T
( ) ( )
1 HB
2 2
I − −+44I Ah + I + A h
zz
( ) ( )
g gg ξξ ξ ξ
4
12 12
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis (cm )
2I
yy
W = × 10
el yy
H
3
Minor axis (cm )
2I
zz
W = × 10
el zz
B
15
=
=
=
---------------------- Page: 17 ----------------------
SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Plastic section modulus
3
Major axis (cm )
2
2
B−−22T H T
( ) ( )
1BH
W = − −+44Ah A h
pl yy
( ) ( )
gg ξξ
3
44
10
3
Minor axis (cm )
2
2
H− 2T B− 2T
( ) ( )
1HB
W =
pl zz − −+44Ah A h
( ) ( )
gg ξξ
3
44
10
4
Torsional (cm )
1 h
3
I T + 2KA
th
inertia
4
3
10
constant
3
Torsional (cm )
I
t
C = 10
modulus
t
T + KT/
constant
2
Where (mm )
π
2
Ar1 −
go
4
2
(mm )
π
2
Ar1 −
ξ i
4
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.)
4
(mm )
11π
4
Ir= −−
go
3 16
3 12 − 3π
( )
4
(mm )
11π
4
Ir= −−
ξξ i
3 16
3 12 − 3π
( )
h = 2[(B – T) + (H – T)] – 2RC(4 - π) (mm)
2
A = (B – T) (H – T) – R (4 - π) (mm)
h C
2
(mm )
2AT
h
K =
h
(mm)
rr+
oi
R =
c
2
16
=
=
=
=
=
---------------------- Page: 18 ----------------------
SIST EN 10210-2:2019
EN 10210-2:2019 (E)
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.
2
Superficial area per (m /m)
P
As =
meter length
3
10
2
Cross sectional area (cm )
π HB−−H 2T B− 2T
( ) ( )
A =
2
4 × 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
4
Major axis 3 (cm )
π
3
BH − B− 22T H− T
( ) ( )
64
I =
yy
4
10
4
Minor axis 3 (cm )
π
3
HB −−H 2T B− 2T
( ) ( )
64
I =
zz
4
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis (cm )
20I
yy
W =
elyy
H
3
Minor axis (cm )
20I
zz
W =
elzz
B
Plastic section modulus
3
Major axis 2 (cm )
2
H B−−H 2T B− 2T
( ) ( )
W =
plyy
3
6 × 10
17
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
3
Minor axis (cm )
2
2
BH− B− 22T H− T
( ) ( )
W =
plzz
3
6 × 10
4
Torsional inertia constant 2 (cm )
3
4 AT
1 UT
m
I +
t
4
U 3
10
3
Torsional modulus (cm )
constant
10I
t
C =
t
2A
m
T +
U
2
where (mm )
π H− T BT−
( ) ( )
A =
m
4
2
(mm)
π H − B
P= HB++1 0,25
( )
2 HB+
2 (mm)
π H − B
U HB+− 2T 1+ 0,25
( )
22HB+− T
18
=
=
---------------------- Page: 20 ----------------------
SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Annex B
(normative)
Sectional properties for a limited range of standard sizes
Table B.1 — Dimensions and sectional properties of a limited range of circular hollow sections
(see Figure B.1)
Super-
Speci- Nomi-
Speci- Mass Cross- ficial
fied Second Radius Elastic Plastic Torsional Torsional nal
fied per sectio- area
outside moment of section section inertia modulus length
thick- unit nal per
dia- of area gyration modulus modulus constant constant per
ness length area metre
meter ton
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
2,3 1,08 1,37 0,629 0,677 0,590 0,834 1,26 1,18 0,067 928
21,3 2,6 1,20 1,53 0,681 0,668 0,639 0,915 1,36 1,28 0,067 834
3,2 1,43 1,82 0,768 0,650 0,722 1,06 1,54 1,44 0,067 700
2,3 1,40 1,78 1,36 0,874 1,01 1,40 2,71 2,02 0,085 717
26,9 2,6 1,56 1,98 1,48 0,864 1,10 1,54 2,96 2,20 0,085 642
3,2 1,87 2,38 1,70 0,846 1,27 1,81 3,41 2,53 0,085 535
2,6 1,99 2,54 3,09 1,10 1,84 2,52 6,19 3,67 0,106 501
33,7 3,2 2,41 3,07 3,60 1,08 2,14 2,99 7,21 4,28 0,106 415
4,0 2,93 3,73 4,19 1,06 2,49 3,55 8,38 4,97 0,106 341
2,6 2,55 3,25 6,46 1,41 3,05 4,12 12,9 6,10 0,133 392
3,2 3,09 3,94 7,62 1,39 3,59 4,93 15,2 7,19 0,133 323
42,4
4,0 3,79 4,83 8,99 1,36 4,24 5,92 18,0 8,48 0,133 264
5,0 4,60 5,90 10 1,33 4,90 7,04 20,9 9,90 0,130 217
2,6 2,93 3,73 9,8 1,62 4,05 5,44 19,6 8,10 0,152 341
3,2 3,56 4,53 11,6 1,60 4,80 6,52 23,2 9,59 0,152 281
48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,
...
SLOVENSKI STANDARD
oSIST prEN 10210-3:2016
01-februar-2016
9URþHL]GHODQLYRWOLNRQVWUXNFLMVNLSURILOLL]MHNODGHO0HUHPHMQLRGVWRSNLLQ
]QDþLOQRVWLSURILORY
Hot finished structural steel hollow sections - Part 3: Tolerances, dimensions and
sectional properties
Warmgefertigte Hohlprofile für den Stahlbau - Teil 3: Grenzabmaße, Masse und
statische Werte
Profils creux de construction finis à chaud en aciers - Partie 3 : Tolérances, dimensions
et caractéristiques du profil
Ta slovenski standard je istoveten z: prEN 10210-3
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
oSIST prEN 10210-3:2016 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
---------------------- Page: 1 ----------------------
oSIST prEN 10210-3:2016
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oSIST prEN 10210-3:2016
DRAFT
EUROPEAN STANDARD
prEN 10210-3
NORME EUROPÉENNE
EUROPÄISCHE NORM
January 2016
ICS 77.140.75 Will supersede EN 10210-2:2006
English Version
Hot finished structural steel hollow sections - Part 3:
Tolerances, dimensions and sectional properties
Profils creux de construction finis à chaud en aciers - Warmgefertigte Hohlprofile für den Stahlbau - Teil 3:
Partie 3 : Tolérances, dimensions et caractéristiques du Grenzabmaße, Masse und statische Werte
profil
This draft European Standard is submitted to CEN members for enquiry. It has been drawn up by the Technical Committee
ECISS/TC 103.
If this draft becomes a European Standard, 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.
This draft European Standard was established by CEN 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, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
United Kingdom.
Recipients of this draft are invited to submit, with their comments, notification of any relevant patent rights of which they are
aware and to provide supporting documentation.
Warning : This document is not a European Standard. It is distributed for review and comments. It is subject to change without
notice and shall not be referred to as a European Standard.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2016 CEN All rights of exploitation in any form and by any means reserved Ref. No. prEN 10210-3:2016 E
worldwide for CEN national Members.
---------------------- Page: 3 ----------------------
oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
Contents Page
European foreword . 3
1 Scope . 4
2 Normative references . 4
3 Terms and definitions . 4
4 Symbols . 5
5 Information to be obtained by the manufacturer . 6
5.1 Mandatory information . 6
5.2 Options . 6
6 Tolerances . 6
7 Measurement of size and shape . 8
7.1 General . 8
7.2 Outside dimensions . 8
7.3 Thickness . 8
7.4 Out-of-roundness . 8
7.5 Concavity and convexity . 9
7.6 Squareness of sides . 10
7.7 External corner profile . 10
7.8 Twist . 11
7.9 Straightness . 12
8 Dimensions and sectional properties . 13
Annex A (normative) Formulae for the calculation of sectional properties . 14
Annex B (normative) Sectional properties for a limited range of standard sizes . 19
2
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
European foreword
This document (prEN 10210-3:2016) has been prepared by Technical Committee ECISS/TC 103
“Structural steels other than reinforcements”, the secretariat of which is held by DIN.
This document is currently submitted to the CEN Enquiry.
This document will supersede EN 10210-2:2006.
This European Standard consists of the following parts under the general title 'Hot finished structural
steel hollow sections”:
— Part 1: General
— Part 2: Technical delivery conditions
— Part 3: Tolerances, dimensions and sectional properties
It forms part of a series of standards on hollow sections together with prEN 10219-1 to prEN 10219-3.
3
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
1 Scope
This part of prEN 10210 specifies tolerances for hot finished circular, square, rectangular and elliptical
structural hollow sections, manufactured in wall thicknesses up to 120 mm, in the following size ranges:
Circular: Outside diameters up to 2 500 mm
Square: Outside dimensions up to 800 mm x 800 mm
Rectangular: Outside dimensions up to 750 mm x 500 mm
Elliptical: Outside dimensions up to 500 mm x 250 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 covering the more common sizes are given in
Annex B.
The general conditions are specified in prEN 10210-1 (product characteristics, test methods and
performance criteria that apply under the Construction Products Regulations) and the technical
delivery conditions in prEN 10210-2.
NOTE The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation
used for structural design in the structural Eurocodes.
2 Normative references
The following documents, in whole or in part, are normatively referenced in this document and are
indispensable for its application. For dated references, only the edition cited applies. For undated
references, the latest edition of the referenced document (including any amendments) applies.
prEN 10210-1, Hot finished structural steel hollow sections - Part 1: General
prEN 10210-2, Hot finished structural steel hollow sections - Part 2: Technical delivery conditions
3 Terms and definitions
For the purposes of this document, the terms and definitions given in prEN 10210-1 apply.
4
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
4 Symbols
For the purposes of this document, the symbols defined in Table 1 apply.
Table 1 —Symbols and definitions
Symbol Unit Definition
2
A cm Cross-sectional area
2
A mm Area of the surface delimited by the perimeter at mid-thickness
m
2
A m /m Superficial area per metre length
s
Specified side dimension of a square hollow section. Specified
B mm 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
3
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
The maximum and minimum outside diameter of a circular hollow
D /D mm
max min
section measured in the same plane
e mm Deviation from straightness
Specified dimension of the longer side of a rectangular hollow section.
H mm
Specified outside dimension of an elliptical section on its major axis
4
I cm Second moment of area
Torsional inertia constant (polar moment of inertia in the case of
4
I cm
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
1
3
W cm Elastic section modulus
el
3
W cm Plastic section modulus
pl
x mm Concavity of a side of a square or rectangular hollow section
1
x mm Convexity of a side of a square or rectangular hollow section
2
yy — Axis of cross-section, major axis of a rectangular hollow section
zz — Axis of cross-section, minor axis of a rectangular hollow section
Angle between adjacent sides of a square or rectangular hollow
θ º
section
5
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
5 Information to be obtained by the manufacturer
5.1 Mandatory information
The following mandatory information from this part of prEN 10210 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 3);
c) for products where the diameter to thickness ration exceeds 100, the agreed tolerance on out-of-
roundness.
NOTE This information is included in the list of information to be obtained by the manufacturer contained in
prEN 10210-2:2016, Clause 5.
5.2 Options
Two options are specified in this part of prEN 10210. In the event that the purchaser does not indicate a
wish to implement one of these options at the time of enquiry and order, the manufacturer shall supply
in accordance with the basic specification.
+150
Option 3.1
The tolerance on approximate length shall be mm (see Table 3).
0
Option 3.2 Tolerance of external corner radius of 2T maximum at each corner.
6 Tolerances
6.1 Tolerances shall not exceed the values given in Table 2 for shape, straightness and mass, Table 3
for manufacturer's delivered length and Table 4 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, except in the
case of HFW sections for a corner containing the weld, should the weld be located in the corner region.
NOTE The internal corner profile is not specified.
6
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
Table 2 — Tolerances on shape, straightness and mass
Square and
Elliptical hollow
Characteristic Circular hollow sections rectangular hollow
sections
sections
Outside dimensions (D, ±1 % with a minimum of ± 0,5 mm
a
± 1 % with a minimum of ± 0,5 mm
B, H) and a maximum of ± 10 mm
b, c
Thickness (T) -10 %
2 % for hollow sections having a
Out-of-roundness (O) diameter to thickness ratio not —
d
exceeding 100
Concavity/Convexity
— 1 % —
e
(x , x )
1 2
Squareness of side (θ) — 90° ± 1° —
External corner profile 3T maximum at each
— —
f
(C , C or R) corner
1 2
a a
Twist (V) — 2 mm plus 0,5 mm/m length
a
Straightness (e) 0,2 % of total length and 3 mm over any 1 m length
Mass (M) -6 %/+8 % on individual delivered lengths
a
For elliptical hollow sections of sizes H < 250 mm, the permitted tolerance is twice the value given in this table.
b
The positive deviation is limited by the tolerance on mass.
c
For seamless sections thicknesses of less than 10 % but not less than 12,5 % of the nominal thickness may occur in smooth
transition areas over not more than 25 % of the circumference.
d
Where the diameter to thickness ratio exceeds 100, the tolerance on out-of-roundness shall be agreed.
e
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
f
The sides need not be tangential to the corner arcs.
Table 3 — Tolerances on manufacturer's delivered length
Dimensions in millimetres
a
Type of length Range of length or length L Tolerance
10 % of sections supplied may be
4 000 ≤ L ≤ 16 000 with a range of below the minimum for the ordered
Random length
2 000 per order item range but not shorter than 75 % of
the minimum range length
b
Standard length 4 000 ≤ L ≤ 16 000 ± 500 mm
+10
mm
2 000 ≤ L ≤ 6 000
0
Exact length
c
+15
6 000 < L
mm
0
a
The manufacturer shall establish at the time of enquiry and order the type of length required and the length range or length.
+150
b
Option 3.1 the tolerance on approximate length is mm.
0
c
Common lengths available are 6 m and 12 m.
Table 4 — 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
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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.
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) of welded hollow sections 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
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
8
=
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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:
xx xx
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
9
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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
10
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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.
1
Key
1 spirit level
2 H for rectangular sections, B for square sections
Figure 6 — Measurement of twist of square or rectangular hollow sections
11
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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
1
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.
12
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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 prEN 10210 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 hot finished circular, square,
rectangular and elliptical 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 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.
13
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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 hot finished 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 its minor axis (zz) align 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.
2
(m /m)
Superficial area per metre
πD
A =
s
length 3
10
2
Cross-sectional area (cm )
2 2
π Dd−
( )
A=
2
4×10
Mass per unit length M = 0,785 × A (kg/m)
4
Second moment of area (cm )
4 4
π D − d
( )
I=
4
64×10
Radius of gyration (cm)
I
i=
A
3
Elastic section modulus (cm )
2I×10
W =
el
D
3
33
Plastic section modulus (cm )
Dd−
W =
pl
3
6×10
4
Torsional inertia constant (cm )
II= 2
t
(polar moment of inertia)
3
Torsional modulus constant C = 2W (cm )
t el
14
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
A.3 Rectangular, including 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 (B) (mm)
of a rectangular hollow section
Specified dimension of the longer side of a rectangular hollow (H) (mm)
section
Specified thickness (T) (mm)
External corner radius (r ) for calculation is: (r = 1,5T) (mm)
o o
Internal corner radius (ri) for calculation is: (ri = 1,0T) (mm)
These parameters, which characterize the geometric shape of rectangular, including square, hollow
sections, may vary within the tolerances allowed by this standard and the sectional properties still
remain valid.
2
Superficial area per metre length 2 (m /m)
A H+−B 4r+πr
( )
s oo
3
10
2
Cross-sectional area (cm )
22
2TB+−H 24T − −π r − r
( ) ( )
( )
o i
A=
2
10
Mass per unit length M = 0,785A (kg/m)
Second moment of area
4
Major axis (cm )
3
3
B−2T H−2T
( )( )
1 BH
22
I
yy
− −+44I A h+ I+ Ah
( ) ( )
g gg ξξ ξ ξ
4
12 12
10
4
Minor axis (cm )
3
3
H−2TB−2T
( )( )
1 HB
22
I
zz
− −+44I A h+ I+ Ah
( ) ( )
g gg ξξ ξ ξ
4
12 12
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis (cm )
2I
yy
W = ×10
el yy
H
3
Minor axis W =.×10 (cm )
el zz
Plastic section modulus
15
=
=
=
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
3
2
Major axis (cm )
2
B−−22TH T
1 BH ( )( )
W = − −+44Ah Ah
pl yy ( ) ( )
g g ξξ
3
10 4 4
3
2
Minor axis (cm )
2
H−−22TB T
1 HB ( )( )
W = − −+44Ah Ah
pl zz ( ) ( )
g g ξξ
3
10 4 4
4
Torsional (cm )
1 h
3
I T+2KA
inertia th
4
10 3
constant
3
Torsional (cm )
I
t
C =10
modulus t
T+KT/
constant
2
Where (mm )
π
2
Ar1−
go
4
2
(mm )
π
2
Ar1−
ξi
4
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−
ξi
2 12-3π
(For minor axis substitute B for H.)
4
(mm )
11π
4
Ir= − −
g o
3 16 3 12−3π
( )
4
(mm )
11π
4
Ir= − −
ξξ i
3 16 3 12−3π
( )
h = 2[(B – T) + (H – T)] – 2R (4 - π) (mm)
C
2
A = (B – T) (H – T) – R (4 - π) (mm)
h C
2
(mm )
2AT
h
K=
h
(mm)
rr+
oi
R =
c
2
16
=
=
=
=
=
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
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.
2
Superficial area (m /m)
P
A =
s
3
10
2
Cross sectional area (cm )
πHB−−H 22T B− T
( )( )
A=
2
4×10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
4
Major axis (cm )
3 π
3
BH −−B 22T H− T
( )( )
64
I =
yy
4
10
4
Minor axis (cm )
3 π
3
HB −−H 22T B− T
( )( )
64
I =
zz
4
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis (cm )
20I
yy
W =
elyy
H
3
Minor axis (cm )
20I
zz
W =
elzz
B
Plastic section modulus
2 3
Major axis 2 (cm )
HB−−H 22T B− T
( ) ( )
W =
plyy
3
6×10
17
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
2 3
Minor axis 2 (cm )
B H−−B 22T H− T
( ) ( )
W =
plzz
3
6×10
4
2 3
Torsional inertia constant (cm )
1 4AT UT
m
I +
t
4
10 U 3
3
Torsional modulus (cm )
constant
10I
t
C =
t
2A
m
T+
U
2
where (mm )
π H−T BT−
( )( )
A =
m
4
2
(mm)
π HB−
P= HB++1 0,25
( )
2 HB+
2
(mm)
π H−B
U HB+−2T 1+0,25
( )
22HB+ − T
18
=
=
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oSIST prEN 10210-3:2016
prEN 10210-3:2016 (E)
Annex B
(normative)
Sectional properties for a limited range of standard sizes
Table B.1 — Dimensions and sectional properties of a limited range of circular hollow sections
(see Figure B.1)
Super-
ficial Nomi-
Specified Mass per Cross- Second Elastic Plastic Torsional Torsional
Specified Radius of area nal
outside unit sectional moment section section inertia modulus
thickness gyration per length
diameter length area of area modulus modulus constant constant
metre per ton
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
2,3 1,08 1,37 0,629 0,677 0,590 0,834 1,26 1,18 0,067 928
21,3 2,6 1,20 1,53 0,681 0,668 0,639 0,915 1,36 1,28 0,067 834
3,2 1,43 1,82 0,768 0,650 0,722 1,06 1,54 1,44 0,067 700
2,3 1,40 1,78 1,36 0,874 1,01 1,40 2,71 2,02 0,085 717
26,9 2,6 1,56 1,98 1,48 0,864 1,10 1,54 2,96 2,20 0,085 642
3,2 1,87 2,38 1,70 0,846 1,27 1,81 3,41 2,53 0,085 535
2,6 1,99 2,54 3,09 1,10 1,84 2,52 6,19 3,67 0,106 501
33,7 3,2 2,41 3,07 3,60 1,08 2,14 2,99 7,21 4,28 0,106 415
4,0 2,93 3,73 4,19 1,06 2,49 3,55 8,38 4,97 0,106 341
2,6 2,55 3,25 6,46 1,41 3,05 4,12 12,9 6,10 0,133 392
3,2 3,09 3,94 7,62 1,39 3,59 4,93 15,2 7,19 0,133 323
42,4
4,0 3,79 4,83 8,99 1,36 4,24 5,92 18,0 8,48 0,133 264
5,0 4,60 5,90 10 1,33 4,90 7,04 20,9 9,90 0,130 217
2,6 2,93 3,73 9,8 1,62 4,05 5,44 19,6 8,10 0,152 341
3,2 3,56 4,53 11,6 1,60 4,80 6,52 23,2 9,59 0,152 281
48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,5 11,4 0,152 229
5,0 5,34 6,80 16,2 1,54 6,69 9,42 32,3 13,4 0,152 187
6,3 6,50 8,30 19 1,50 7,80 11,20 37,5 15,5 0,150 153
2,6 3,70 4,71 19,7 2,04 6,52 8,66 39,3 13,0 0,189 270
3,2 4,51 5,74 23,5 2,02 7,78 10,4 46,9 15,6 0,189 222
60,3 4,0 5,55 7,07 28,2 2,00 9,34 12,7 56,3 18,7 0,189 180
5,0 6,82 8,69 3
...
SLOVENSKI STANDARD
oSIST prEN 10210-2:2018
01-oktober-2018
9URþHL]GHODQLYRWOLNRQVWUXNFLMVNLSURILOLL]MHNODGHO0HUHPHMQLRGVWRSNLLQ
]QDþLOQRVWLSURILORY
Hot finished structural steel hollow sections - Part 2: Tolerances, dimensions and
sectional properties
Warmgefertigte Hohlprofile für den Stahlbau - Teil 2: Grenzabmaße, Masse und
statische Werte
Profils creux de construction finis à chaud en aciers - Partie 2 : Tolérances, dimensions
et caractéristiques du profil
Ta slovenski standard je istoveten z: prEN 10210-2
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
oSIST prEN 10210-2:2018 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
---------------------- Page: 1 ----------------------
oSIST prEN 10210-2:2018
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oSIST prEN 10210-2:2018
DRAFT
EUROPEAN STANDARD
prEN 10210-2
NORME EUROPÉENNE
EUROPÄISCHE NORM
August 2018
ICS 77.140.75 Will supersede EN 10210-2:2006
English Version
Hot finished steel structural hollow sections - Part 2:
Tolerances, dimensions and sectional properties
Profils creux de construction finis à chaud en aciers - Warmgefertigte Hohlprofile für den Stahlbau - Teil 3:
Partie 3 : Tolérances, dimensions et caractéristiques du Grenzabmaße, Maße und statische Werte
profil
This draft European Standard is submitted to CEN members for second enquiry. It has been drawn up by the Technical
Committee ECISS/TC 103.
If this draft becomes a European Standard, 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.
This draft European Standard was established by CEN 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.
Recipients of this draft are invited to submit, with their comments, notification of any relevant patent rights of which they are
aware and to provide supporting documentation.
Warning : This document is not a European Standard. It is distributed for review and comments. It is subject to change without
notice and shall not be referred to as a European Standard.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2018 CEN All rights of exploitation in any form and by any means reserved Ref. No. prEN 10210-2:2018 E
worldwide for CEN national Members.
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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 . 6
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, including square, hollow sections . 15
A.4 Elliptical hollow sections . 17
Annex B (normative) Sectional properties for a limited range of standard sizes . 19
2
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
European foreword
This document (prEN 10210-2:2018) has been prepared by Technical Committee ECISS/TC 103
“Structural steels other than reinforcements”, the secretariat of which is held by DIN.
This document is currently submitted to the second CEN Enquiry.
This document will supersede EN 10210-2:2006.
This standard consists of the following parts:
— EN 103xx, Steel structural hollow sections — General (Characteristics, evaluation of conformity and
marking) – in preparation
— EN 10210-1, Hot finished steel structural hollow sections — Part 1: Technical delivery conditions
— EN 10210-2, Hot finished steel structural hollow sections — Part 2: Tolerances, dimensions and
sectional properties
It forms part of a series of standards on hollow sections together with EN 10219-1 and EN 10219-2.
3
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
1 Scope
This part of this European standard specifies tolerances for hot finished circular, square, rectangular
and elliptical structural hollow sections, manufactured in wall thicknesses up to 120 mm, in the
following size ranges:
— Circular: Outside diameters up to 2 500 mm;
— Square: Outside dimensions up to 800 mm × 800 mm;
— Rectangular: Outside dimensions up to 750 mm × 500 mm;
— Elliptical: Outside dimensions up to 500 mm × 250 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 covering the more common sizes are given in
Annex B.
NOTE The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation
used for structural design in the structural Eurocodes.
2 Normative references
The following documents, in whole or in part, are normatively referenced in this document and are
indispensable for its application. For dated references, only the edition cited applies. For undated
references, the latest edition of the referenced document (including any amendments) applies.
EN 10210-1:2006, Hot finished 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 10210-1 apply.
4 Symbols
For the purposes of this document, the symbols defined in Table 1 apply.
Table 1 — Symbols and definitions
Symbol Unit Definition
2
A cm Cross-sectional area
Area of the surface delimited by the perimeter at mid-
2
A mm
m
thickness
2
A m /m Superficial area per metre length
s
Specified side dimension of a square hollow section.
Specified dimension of the shorter side of a rectangular
B mm
hollow section. Specified outside dimension of an elliptical
section on its minor axis
Length of corner region of a square or rectangular hollow
C /C mm
1 2
section
4
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Symbol Unit Definition
3
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
The maximum and minimum outside diameter of a
D /D mm
max min
circular hollow section measured in the same plane
e mm Deviation from straightness
Specified dimension of the longer side of a rectangular
H mm hollow section. Specified outside dimension of an elliptical
section on its major axis
4
I cm Second moment of area
Torsional inertia constant (polar moment of inertia in the
4
I cm
t
case of 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
External corner radius of a square or rectangular hollow
R mm
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
1
3
W cm Elastic section modulus
el
3
W cm Plastic section modulus
pl
Concavity of a side of a square or rectangular hollow
x mm
1
section
Convexity of a side of a square or rectangular hollow
x mm
2
section
Axis of cross-section, major axis of a rectangular hollow
yy —
section
Axis of cross-section, minor axis of a rectangular hollow
zz —
section
Angle between adjacent sides of a square or rectangular
θ °
hollow section
5
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
5 Information to be obtained by the manufacturer
5.1 Mandatory information
The following mandatory information from this part of EN 10210 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 3).
NOTE This Information is included in the list of information to be obtained by the manufacturer contained in
EN 10210-1:2006, Clause 5.
5.2 Options
Options are specified in this part of EN 10210. In the event that the purchaser does not indicate a wish
to implement one of these options at the time of enquiry and order, the manufacturer shall supply in
accordance with the basic specification.
+150
Option 2.1
The tolerance on approximate length shall be mm (see Table 3).
0
Option 2.2 Tolerance of external corner radius of 2T maximum at each corner.
Option 2.3 Out-of-roundness tolerances for diameter to thickness ratio exceeding 100 (see
Table 2, footnote d).
6 Tolerances
6.1 Tolerances shall not exceed the values given in Table 2 for shape, straightness and mass, Table 3
for manufacturer's delivered length and Table 4 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, except in the
case of EW sections for a corner containing the weld, should the weld be located in the corner region.
NOTE The internal corner profile is not specified.
6
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Table 2 — Tolerances on shape, straightness and mass
Square and
Circular hollow Elliptical hollow
Characteristic rectangular hollow
sections sections
sections
±1 % with a minimum
Outside dimensions (D, B,
a
of ± 0,5 mm and a ±1 % with a minimum of ± 0,5 mm
H)
maximum of ± 10 mm
b c
Thickness (T) - 10 %
2 % for hollow sections
having a diameter to
Out-of-roundness (O) —
thickness ratio not
d
exceeding 100
Concavity/Convexity (x ,
1
— 1 % —
e
x )
2
Squareness of side (θ) — 90° ± 1° —
External corner profile 3T maximum at each
— —
f
(C , C or R) corner
1 2
a a
Twist (V) — 2 mm plus 0,5 mm/m length
a
Straightness (e) 0,2 % of total length and 3 mm over any 1 m length
Mass (M) - 6 %/+ 8 % on individual delivered lengths
a
For elliptical hollow sections of sizes H < 250 mm, the permitted tolerance is twice the value given in this
table.
b
The positive deviation is limited by the tolerance on mass.
c
For seamless sections thicknesses of less than 10 % but not less than 12,5 % of the nominal thickness may
occur in smooth transition areas over not more than 25 % of the circumference.
d
When the diameter to thickness ratio exceeds 100, application of tolerance on out-of-roundness is not
required, unless specifically agreed (see 5.2).
e
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
f
The sides need not be tangential to the corner arcs.
7
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Table 3 — Tolerances on manufacturer's delivered length
Dimensions in millimetres
a
Type of length Range of length or length L Tolerance
10 % of sections supplied may
be below the minimum for the
4 000 ≤ L ≤ 16 000 with a range
Random length ordered range but not shorter
of 2 000 per order item
than 75 % of the minimum
range length
b
Approximate length 4 000 ≤ L ≤ 16 000 ±500 mm
+10
mm
2 000 ≤ L ≤ 6 000
0
Exact length
c +15
6 000 < L
mm
0
a
The manufacturer shall establish at the time of enquiry and order the type of length required and the length
range or length.
+150
b
Option 3.1 the tolerance on approximate length is mm.
0
c
Common lengths available are 6 m and 12 m.
Table 4 — 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.
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) of welded hollow sections 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.
8
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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
1 2 1 2
××××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
9
=
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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.
10
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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.
1
11
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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
1
hollow section.
Key
1 spirit level
Figure 7 — Measurement of twist of elliptical hollow sections
12
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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 10210 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 hot finished circular, square,
rectangular and elliptical 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 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.
13
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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 hot finished 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 its minor axis (zz) align 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.
2
Superficial area per metre (m /m)
π D
A =
s
length
3
10
2
Cross-sectional area 22 (cm )
π Dd−
)
(
A=
2
4× 10
Mass per unit length M = 0,785 × A (kg/m)
4
Second moment of area 4 4 (cm )
π Dd−
)
(
I=
4
64× 10
Radius of gyration (cm)
I
i=
A
3
Elastic section modulus (cm )
2I× 10
W =
el
D
3
Plastic section modulus 33 (cm )
Dd−
W =
pl
3
6× 10
4
Torsional inertia constant (cm )
II= 2
t
(polar moment of inertia)
3
Torsional modulus constant C = 2W (cm )
t el
14
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
A.3 Rectangular, including 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 (B) (mm)
of a rectangular hollow section
Specified dimension of the longer side of a rectangular hollow (H) (mm)
section
Specified thickness (T) (mm)
External corner radius (r ) for calculation is: (r = 1,5T) (mm)
o o
Internal corner radius (ri) for calculation is: (ri = 1,0T) (mm)
These parameters, which characterize the geometric shape of rectangular, including square, hollow
sections, may vary within the tolerances allowed by this standard and the sectional properties still
remain valid.
2
Superficial area per metre length (m /m)
2
A HB+− 4r+π r
( )
s o o
3
10
2
Cross-sectional area 2 2 (cm )
2T B+−H 24T − −π r − r
( ) ( )
( )
o i
A=
2
10
Mass per unit length M = 0,785A (kg/m)
Second moment of area
4
Major axis (cm )
3
3
B−−22T H T
( )( )
1 BH
2 2
I
yy − −+44I Ah+ I+ A h
) )
( g gg ( ξξ ξ ξ
4
12 12
10
4
Minor axis (cm )
3
3
H− 2T B− 2T
( )( )
1 HB
2 2
I
zz − −+44I Ah+ I+ A h
) )
( g gg ( ξξ ξ ξ
4
12 12
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis 2I (cm )
yy
W = × 10
el yy
H
3
Minor axis (cm )
2I
zz
W = × 10
el zz
B
15
=
=
=
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Plastic section modulus
3
Major axis (cm )
2
2
B−−22T H T
( )( )
1 BH
W = − −+44Ah A h
pl yy
( ) ( )
gg ξξ
3
44
10
3
Minor axis (cm )
2
2
H− 2T B− 2T
( )( )
1 HB
W = − −+44Ah A h
pl zz
( ) ( )
gg ξξ
3
44
10
4
Torsional (cm )
1 h
3
I T+ 2KA
inertia th
4
3
10
constant
3
Torsional (cm )
I
t
C = 10
modulus
t
T+ KT/
constant
2
Where (mm )
π
2
Ar1−
go
4
2
(mm )
π
2
Ar1−
ξ i
4
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.)
4
(mm )
11π
4
Ir= −−
go
3 16
3 12− 3π
( )
4
(mm )
11π
4
Ir= −−
ξξ i
3 16
3 12− 3π
( )
h = 2[(B – T) + (H – T)] – 2R (4 - π) (mm)
C
2
A = (B – T) (H – T) – R (4 - π) (mm)
h C
2
(mm )
2AT
h
K=
h
(mm)
rr+
oi
R =
c
2
16
=
=
=
=
=
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
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.
2
Superficial area per (m /m)
P
A =
s
meter length
3
10
2
Cross sectional area (cm )
π HB−−H 2T B− 2T
( )( )
A=
2
4× 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
4
Major axis (cm )
3
π
3
BH − B− 22T H− T
( )( )
64
I =
yy
4
10
4
Minor axis (cm )
3
π
3
HB −−H 2T B− 2T
( )( )
64
I =
zz
4
10
Radius of gyration
Major axis (cm)
I
yy
i =
yy
A
Minor axis (cm)
I
zz
i =
zz
A
Elastic section modulus
3
Major axis (cm )
20I
yy
W =
elyy
H
3
Minor axis (cm )
20I
zz
W =
elzz
B
Plastic section modulus
3
Major axis (cm )
2
2
H B−−H 2T B− 2T
( ) ( )
W =
plyy
3
6× 10
17
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
3
Minor axis (cm )
2
2
BH− B− 22T H− T
( ) ( )
W =
plzz
3
6× 10
4
Torsional inertia constant 2 (cm )
3
4 AT
1 UT
m
I +
t
4
U 3
10
3
Torsional modulus (cm )
constant
10I
t
C =
t
2A
m
T+
U
2
where (mm )
π H− T BT−
( )( )
A =
m
4
2 (mm)
π H− B
P= HB++1 0,25
( )
2 HB+
(mm)
2
π H− B
U HB+− 2T 1+ 0,25
( )
22HB+− T
18
=
=
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Annex B
(normative)
Sectional properties for a limited range of standard sizes
Table B.1 — Dimensions and sectional properties of a limited range of circular hollow sections
(see Figure B.1)
Super-
ficial Nomi-
Specified Mass per Cross- Second Elastic Plastic Torsional Torsional
Specified Radius of area nal
outside unit sectional moment section section inertia modulus
thickness gyration per length
area of area modulus modulus constant constant
diameter length
metre per ton
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
2,3 1,08 1,37 0,629 0,677 0,590 0,834 1,26 1,18 0,067 928
21,3 2,6 1,20 1,53 0,681 0,668 0,639 0,915 1,36 1,28 0,067 834
3,2 1,43 1,82 0,768 0,650 0,722 1,06 1,54 1,44 0,067 700
2,3 1,40 1,78 1,36 0,874 1,01 1,40 2,71 2,02 0,085 717
26,9 2,6 1,56 1,98 1,48 0,864 1,10 1,54 2,96 2,20 0,085 642
3,2 1,87 2,38 1,70 0,846 1,27 1,81 3,41 2,53 0,085 535
2,6 1,99 2,54 3,09 1,10 1,84 2,52 6,19 3,67 0,106 501
33,7 3,2 2,41 3,07 3,60 1,08 2,14 2,99 7,21 4,28 0,106 415
4,0 2,93 3,73 4,19 1,06 2,49 3,55 8,38 4,97 0,106 341
2,6 2,55 3,25 6,46 1,41 3,05 4,12 12,9 6,10 0,133 392
3,2 3,09 3,94 7,62 1,39 3,59 4,93 15,2 7,19 0,133 323
42,4
4,0 3,79 4,83 8,99 1,36 4,24 5,92 18,0 8,48 0,133 264
5,0 4,60 5,90 10 1,33 4,90 7,04 20,9 9,90 0,130 217
2,6 2,93 3,73 9,8 1,62 4,05 5,44 19,6 8,10 0,152 341
3,2 3,56 4,53 11,6 1,60 4,80 6,52 23,2 9,59 0,152 281
48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,5 11,4 0,152 229
5,0 5,34 6,80 16,2 1,54 6,69 9,42 32,3 13,4 0,152 187
6,3 6,50 8,30 19 1,50 7,80 11,20 37,5 15,5 0,150 153
2,6 3,70 4,71 19,7 2,04 6,52 8,66 39,3 13,0 0,189 270
3,2 4,51 5,74 23,5 2,02 7,78 10,4 46,9 15,6 0,189 222
60,3 4,0 5,55 7,07 28,2 2,00 9,34 12,7 56,3 18,7 0,189 180
5,0 6,82 8,69 33,5 1,96 11,1 15,3 67,0 22,2 0,189 147
6,3 8,40 10,7 39 1,92 13,1 18,45 79,0 26,2 0,190 119
2,6 4,71 6,00 40,6 2,60 10,7 14,1 81,2 21,3 0,239 212
76,1 3,2 5,75 7,33 48,8 2,58 12,8 17,0 97,6 25,6 0,239 174
4,0 7,11 9,06 59,1 2,55 15,5 20,8 118 31,0 0,239 141
19
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oSIST prEN 10210-2:2018
prEN 10210-2:2018 (E)
Super-
ficial Nomi-
Specified Mass per Cross- Second Elastic Plastic Torsional Torsional
Specified Radius of area nal
outside unit sectional moment section section inertia modulus
thickness gyration per length
diameter length area of area modulus modulus constant constant
metre per ton
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
5,0 8,77 11,2 70,9 2,52 18,6 25,3 142 37,3 0,239 114
6,3 10,8 13,8 85 2,48 22,3 30,78 169,6 44,6 0,240 92
8,0 13,4 17,1 101 2,42 26,4 37,27 201,2 52,9 0,240 74
3,2 6,76 8,62 79,2 3,03 17,8 23,5 158 35,6 0,279 148
4,0 8,38 10,7 96,3 3,00 21,7 28,9 193 43,3 0,279 119
5,0 10,3 13,2 116 2,97 26,2 35,2 233 52,4 0,279 96,7
88,9
6,3 12,8 16,3 140 2,93 3
...
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