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 part of prEN 10219 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 x 500 mm
Rectangular: Outside dimensions up to 500 mm x 300 mm
Elliptical: Outside dimensions up to 480 mm x 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 B.
Dimensions and sectional properties for a limited range of more common sizes are given in Annex C.
The general conditions are specified in prEN 10219-1 (product characteristics, test methods and performance criteria that apply under the Construction Products Regulations) and the technical delivery conditions in prEN 10219-2.
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.
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
Buy Standard
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN 10219-2:2019
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
SIST EN 10219-2:2019 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN 10219-2:2019
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SIST EN 10219-2:2019
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.
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SIST EN 10219-2:2019
EN 10219-2:2019 (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 . 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
2
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
European foreword
This document (EN 10219-2:2019) 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 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.
1
Through its subcommittee SC 3 “Structural steels other than reinforcements” (secretariat: DIN)
3
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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
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
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
4
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EN 10219-2:2019 (E)
Symbol Unit Definition
3
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
4
I cm Second moment of area
4
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
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
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);
5
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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
100
Concavity/convexity — Max. 0,8 % with a —
b minimum of 0,5 mm
(x , x )
1 2
6
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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.
7
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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
0
< 6 000 +10
mm
0
6 000 ≤ L ≤ 10 000 +15
b
mm
Exact length
0
+5
> 10 000
mm +1 mm/m
0
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.
8
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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
9
=
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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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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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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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EN 10219-2:2019 (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 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.
13
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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.
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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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.
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 − −+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
15
=
=
=
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
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
Plastic section modulus
3
Major axis 2 (cm )
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 inertia constant (cm )
1 h
3
I T+ 2KA
th
4
3
10
3
Torsional modulus (cm )
I
t
C = 10
constant
t
T+ KT/
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
16
=
=
=
=
=
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EN 10219-2:2019 (E)
(mm)
rr+
oi
R =
c
2
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 )
π HB−−H 2T B− 2T
( )( )
A=
2
4× 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
Major axis 4
3 π
3
(cm )
BH − B− 22T H− T
( )( )
64
I =
yy
4
10
Minor axis 4
3π
3
(cm )
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
Major axis 3
20I
yy (cm )
W =
elyy
H
Minor axis 3
20I
(cm )
zz
W =
elzz
B
Plastic section modulus
17
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Major axis 3
2
2
(cm )
H B−−H 2T B− 2T
( ) ( )
W =
plyy
3
6× 10
Minor axis 2 3
2
(cm )
BH− B− 22T H− T
( ) ( )
W =
plzz
3
6× 10
Torsional inertia 2 4
3
4 AT
(cm )
1 UT
m
I +
constant
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
(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
18
=
=
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EN 10219-2:2019 (E)
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,
...
SLOVENSKI STANDARD
oSIST prEN 10219-3:2016
01-februar-2016
+ODGQRREOLNRYDQLYDUMHQLYRWOLNRQVWUXNFLMVNLSURILOLL]MHNODGHO0HUHPHMQL
RGVWRSNLLQ]QDþLOQRVWLSURILORY
Cold formed welded structural steel hollow sections - Part 3: 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: prEN 10219-3
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
oSIST prEN 10219-3:2016 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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oSIST prEN 10219-3:2016
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oSIST prEN 10219-3:2016
DRAFT
EUROPEAN STANDARD
prEN 10219-3
NORME EUROPÉENNE
EUROPÄISCHE NORM
January 2016
ICS 77.140.75 Will supersede EN 10219-2:2006
English Version
Cold formed welded structural steel hollow sections - Part
3: Tolerances, dimensions and sectional properties
Profils creux de construction soudés, formés à froid en Kaltgefertigte geschweißte Hohlprofile für den
aciers non alliés et à grains fins - Partie 2 : Tolérances, Stahlbau aus unlegierten Baustählen und aus
dimensions et caractéristiques de profil Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und
statische Werte
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 10219-3:2016 E
worldwide for CEN national Members.
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oSIST prEN 10219-3:2016
prEN 10219-3:2016 (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 . 5
6 Tolerances . 6
7 Measurement of size and shape . 7
7.1 General . 7
7.2 Outside dimensions . 8
7.3 Thickness . 8
7.4 Out-of-roundness . 8
7.5 Concavity and convexity . 8
7.6 Squareness of sides . 9
7.7 External corner profile . 10
7.8 Twist . 10
7.9 Straightness . 12
8 Dimensions and sectional properties . 12
Annex A (informative) Additional tolerances for piling tube. 13
Annex B (normative) Formulae for the calculation of sectional properties . 18
Annex C (normative) Sectional properties for a limited range of standard sizes . 23
Bibliography . 48
2
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prEN 10219-3:2016 (E)
European foreword
This document (prEN 10219-3:2016) has been prepared by Technical Committee ECISS/TC 103
“Structural steels other then reinforcement”, the secretariat of which is held by DIN.
This document is currently submitted to the CEN Enquiry.
This document will supersede EN 10219-2:2006.
This standard consists of the following parts under the general title 'Cold formed welded 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 10210-1 to prEN 10210-3.
3
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prEN 10219-3:2016 (E)
1 Scope
This part of prEN 10219 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 x 500 mm
Rectangular: Outside dimensions up to 500 mm x 300 mm
Elliptical: Outside dimensions up to 480 mm x 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 B.
Dimensions and sectional properties for a limited range of more common sizes are given in Annex C.
The general conditions are specified in prEN 10219-1 (product characteristics, test methods and
performance criteria that apply under the Construction Products Regulations) and the technical
delivery conditions in prEN 10219-2.
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 10219-1:2016, Cold formed welded structural steel hollow sections - Part 1: General
prEN 10219-2, Cold formed welded 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 10219-1:2016 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
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
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
C1/C2 mm Length of corner region of a square or rectangular hollow section
3
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
4
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prEN 10219-3:2016 (E)
Symbol Unit Definition
D /D mm The 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
4
I cm Second moment of area
4
I cm Torsional inertia constant (polar moment of inertia in the case of circular hollow
t
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
θ º Angle between adjacent sides of a square or rectangular hollow section
5 Information to be obtained by the manufacturer
The following mandatory information from this part of prEN 10219 shall be obtained by the
manufacturer at the time of enquiry and order:
a) the type of length, length range or length (see Table 4);
b) the dimensions (see Clause 8);
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 10219-2:2016, Clause 5.
5
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prEN 10219-3:2016 (E)
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.
6.3 Additional tolerances for out-of-roundness, accidental eccentricity and dimples may be applied to
tubes of diameter ≥ 900 mm and D/T ≥ 50 when they are to be used as bearing piles or primary
elements in combined walls in accordance with EN 1993-5. In order for these additional tolerances to
be applied the fabrication tolerance quality class, A, B, or C should be agreed. See Annex A.
Table 2 — Tolerances on shape, straightness and mass
Characteristic Circular hollow Square and rectangular hollow Elliptical hollow
sections sections section
Side length Tolerance
mm
Outside dimensions (D, ± 1 % with a minimum H, B <100 ± 1 % with a ± 1 % with a minimum
B and H) of ± 0,5 mm and a minimum of of ± 0,5 mm
maximum of ±10 mm ± 0,5 mm
100 ≤ H, B ≤ 200 ± 0,8 %
H,B > 200 ± 0,6 %
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
a
exceeding 100
Concavity/convexity — Max. 0,8 % with a minimum of —
b 0,5 mm
(x , x )
1 2
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 3 mm over 0,20 % of total length
and 3 mm over any 1 m any 1 m length and 3 mm over
length any 1 m length
Mass per unit length ± 6 % on individual delivered lengths
(M)
a
Where the diameter to thickness ratio exceeds 100 the tolerance on out-of-roundness shall be agreed.
b
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
6
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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
Standard length ≥ 4 000 +50
mm
0
+10
< 6 000
mm
0
+15
6 000 ≤ L ≤ 10 000
b
mm
Exact length
0
+5
> 10 000
mm +1 mm/m
0
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
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prEN 10219-3:2016 (E)
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
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, but
see Annex A for piling tube.
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:
x x x x
12 1 2
×100%; ×××100%; 100%; 100%
B BH H
8
=
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prEN 10219-3:2016 (E)
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 90º and θ as shown in Figure 3.
Figure 3 — Squareness of sides of square or rectangular hollow sections
9
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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
10
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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
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
11
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prEN 10219-3:2016 (E)
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 prEN 10219 and
manufactured to the dimensional tolerances of this standard, required for the purposes of structural
design, shall be calculated in accordance with Annex B.
The sectional properties for a limited range of standard sizes of cold formed hollow sections are given
in Table C.1 for circular sections, Table C.2 for square sections, Table C.3 for rectangular sections and
Table C.4 for elliptical hollow sections. These sectional properties were calculated from the formulae
given in Annex B.
Not all sizes and thicknesses shown in Tables C.1, C.2, C.3 and C.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.
12
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Annex A
(informative)
Additional tolerances for piling tube
A.1 General
This annex contains guidance on additional tolerances that can be applied to tubes when they are to be
used as bearing piles or primary elements in combined walls in accordance with EN 1993-5. These
requirements are generally relevant to tubes of diameter ≥ 900 mm and D/T ≥ 50.
For verification of tubular piles subject to shell buckling, EN 1993-5: Piling refers to EN 1993-1-6. Shell
buckling is partly governed by geometrical imperfections of the shell due to out-of-roundness,
accidental eccentricity and dimples. EN 1993-1-6 specifies limits for each of these geometrical
imperfections, based on the concept of fabrication quality classes. Details of how to assess out-of-
roundness, accidental eccentricity and dimples, and the recommended maximum permitted values for
each fabrication quality class, are given in A.2, A.3 and A.4.
NOTE 1 See EN 1993-1-6 for further details of fabrication tolerance quality classes, their design implications
and for definitions and use of symbols.
NOTE 2 The values of certain parameters, given in Tables A.1, A.2 and A.3 may be subject to change by national
application of EN 1993-1-6. Nationally determined parameters will be given in the relevant National Annex of
EN 1993-1-6.
A.2 Out of roundness tolerance
Out-of-roundness of a tubular pile is assessed in terms of the parameter U the difference between the
r
maximum and minimum values of the measured internal diameter, relative to the nominal inside
diameter, see Figure A.1, given by:
dd−
max min
U =
r
d
nom
where
d is the maximum measured internal diameter;
max
dmin is the minimum measured internal diameter;
d is the nominal inside diameter (d = D – 2T, see B.2).
nom
An appropriate number of diameters should be measured in order to identify the maximum and
minimum values.
13
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and d and relationship to d
Figure A.1 — Assessment of dmin max
The out-of-roundness parameter U should satisfy the condition:
r
U U
r ≤ r, max
where
U is the maximum permitted value for the out-of-roundness parameter.
r, max
Recommended values for each fabrication tolerance quality class are given in Table A.1.
Table A.1 — Maximum permitted values for out-of-roundness parameter U
r, max
Dimensions in mm
Diameter range
Fabrication
d ≤ 500 500 < d < 1250 1250 ≤ d
tolerance quality Description
class
a
Value of U max
r
Class A Excellent 0,014 0,007+0,0093 (1,25 - d) 0,007
Class B High 0,02 0,010+0,0133 (1,25 - d) 0,01
Class C Normal 0,03 0,015+0,020 (1,25 - d) 0,015
a
The values of this parameter may be subject to change by national application of EN 1993-1-6. If in doubt,
reference should be made to the relevant National Annex of EN 1993-1-6.
A.3 Accidental eccentricity tolerance
Accidental eccentricity, the unintentional eccentricity due to misalignment of the tube walls at
horizontal joints, is assessed in terms of the parameter U given by:
e
e
a
U =
e
T
where
e is the accidental eccentricity between the mid points of the tube walls at the joint, compared to
a
their normal thickness;
T is the tube wall thickness.
14
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oSIST prEN 10219-3:2016
prEN 10219-3:2016 (E)
NOTE For joints involving tubes of different thicknesses, refer to EN 1993-1-6.
Figure A.2 — Measurement of tube wall eccentricity (e )
a
The accidental eccentricity e should satisfy the condition:
a
e ≤ e
a a, max
where
e is the maximum permitted accidental eccentricity.
a, max
Recommended values for each fabrication tolerance quality class are given in Table A.2.
The accidental eccentricity parameter U should satisfy the condition:
e
U ≤ U
e e, max
where
U is the maximum permitted value for the accidental eccentricity parameter.
e, max
Recommended values for each fabrication tolerance quality class are given in Table A.2.
Table A.2 — Maximum permitted values for accidental eccentricity parameter U and for
e, max
accidental eccentricity e
a, max
Dimensions in mm
Fabrication
a a
tolerance quality Description
U e
e, max a, max
class
Class A Excellent 0,14 2
Class B High 0,2 3
Class C Normal 0,3 4
a
The values of these parameters may be subject to change by national application of EN 1993-1-6. If
in doubt, reference should be made to the relevant National Annex of EN 1993-1-6.
15
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A.4 Dimple tolerance
The depth of initial dimples in the tube wall w is measured, in both the meridontal and circumferential
o
directions, using a measurement gauge, see Figure A.3, of length l where:
g
a) meridontally and circumferentially l = 4 rT ;
g
b) across welds l = 25 T but l ≤ 500 mm.
g g
The gauge used for meridontal measurements should be straight but that used for measurements in the
circumferential direction should have a radius of curvature r where:
DT−
( )
r =
2
NOTE For joints involving tubes of different thicknesses, refer to EN 1993-1-6.
Figure A.3 — Measurement of depth w of initial dimples
o
The level of initial dimples in the wall of the tubular pile is assessed in terms of the dimple tolerance
parameter U given by:
d
w
o
U =
d
l
g
The dimple tolerance parameter U should satisfy the condition:
d
U ≤ U
d d, max
16
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where
U is the maximum permitted value for the dimple tolerance parameter.
d, max
Recommended values for each fabrication tolerance class are given in Table A.3.
Table A.3 — Maximum permitted values for dimple tolerance parameter U
d, max
Dimensions in mm
Fabrication
a
tolerance Description
U
d, max
quality class
Class A Excellent 0,006
Class B High 0,01
Class C Normal 0,016
a
The values of this parameter may be subject to change by
national application of EN 1993-1-6. If in doubt, reference
should be made to the National Annex of EN 1993-1-6.
17
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Annex B
(normative)
Formulae for the calculation of sectional properties
B.1 General
Tables C.1, C.2, C.3 and C.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 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.
B.2 Circular hollow sections
The sectional properties for circular hollow sections in Table C.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
22
Cross-sectional area (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 D − d
( )
I=
4
64×10
Radius of gyration (cm)
I
i=
A
3
Elasti
...
SLOVENSKI STANDARD
oSIST prEN 10219-2:2018
01-november-2018
+ODGQRREOLNRYDQLYDUMHQLYRWOLNRQVWUXNFLMVNLSURILOLL]MHNODGHO0HUHPHMQL
RGVWRSNLLQ]QDþLOQRVWLSURILORY
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: prEN 10219-2
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
oSIST prEN 10219-2:2018 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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oSIST prEN 10219-2:2018
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oSIST prEN 10219-2:2018
DRAFT
EUROPEAN STANDARD
prEN 10219-2
NORME EUROPÉENNE
EUROPÄISCHE NORM
August 2018
ICS 77.140.75 Will supersede EN 10219-2:2006
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 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 10219-2:2018 E
worldwide for CEN national Members.
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prEN 10219-2:2018 (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 . 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
2
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prEN 10219-2:2018 (E)
European foreword
This document (prEN 10219-2:2018) 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 10219-2:2006.
This standard consists of the following parts:
— EN 103xx, Steel structural hollow sections – General (Characteristics, evaluation of conformity and
marking) – in preparation
— EN 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
It forms part of a series of standards on hollow sections together with EN 10210-1 and EN 10210-2.
3
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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 its minor axis (zz) align 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
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
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
4
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Symbol Unit Definition
3
C cm Torsional modulus constant
t
D mm Specified outside diameter of a circular hollow section
D /D mm The 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
4
I cm Second moment of area
4
I cm Torsional inertia constant (polar moment of inertia in the case of circular
t
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
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);
5
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NOTE This information is included in the list of information to be obtained by the manufacturer contained in
EN 10219-1:2006, Clause 5.
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 one of these options 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 hollow Elliptical hollow
sections sections section
Side length Tolerance
mm
Outside dimensions ±1 % with a H, B < 100 ±1 % with a ±1 % with a
(D, B and H) minimum minimum minimum
of ± 0,5 mm and a of ± 0,5 mm of ± 0,5 mm
maximum
of ± 10 mm
100 ≤ H, B ≤ 200 ±0,8 %
H, B > 200 ±0,6 %
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
100
Concavity/convexity — Max. 0,8 % with a minimum of —
b 0,5 mm
(x , x )
1 2
6
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Characteristic Circular hollow Square and rectangular hollow Elliptical hollow
sections sections section
Side length Tolerance
mm
Squareness of side — 90° ± 1° —
(θ)
External corner — See Table 3 —
profile (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 3 mm 0,20 % of total length
and 3 mm over any 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.
7
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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
0
+10
< 6 000
mm
0
+15
6 000 ≤ L ≤ 10 000
b
mm
Exact length
0
+5
> 10 000
mm +1 mm/m
0
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.
8
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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, but
see Annex A for piling tube:
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:
x x x x
12 1 2
×100%; ×××100%; 100%; 100%
B BH H
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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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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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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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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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 B.
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 B.
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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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 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
22
Cross-sectional area (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 D − d
( )
I=
4
64×10
Radius of gyration (cm)
I
i=
A
3
Elastic section modulus (cm )
2I×10
W =
el
D
33 3
Plastic section modulus (cm )
D −d
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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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.
2
Superficial area per metre length (m /m)
2
A HB+−4r+πr
( )
s oo
3
10
2
22
Cross-sectional area (cm )
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
3
Major axis (cm )
3
B−−22TH T
( )( )
1 BH
22
I − −+44I Ah+ I+ A h
yy
( ) ( )
g g g ξξ ξ ξ
4
10 12 12
4
Minor axis 3 (cm )
3
H−2TB−2T
1 HB ( )( )
22
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
15
=
=
=
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oSIST prEN 10219-2:2018
prEN 10219-2:2018 (E)
3
Major axis (cm )
2I
yy
W = × 10
el yy
H
3
Minor axis 2I (cm )
zz
W = × 10
el zz
B
Plastic section modulus
3
2
Major axis (cm )
2
B−−22TH T
1 BH ( )( )
W = − −+44Ah A h
pl yy ( ) ( )
g g ξξ
3
10 4 4
3
Minor axis 2 (cm )
2
H−2TB−2T
( )( )
1 HB
W = − −+44Ah A h
pl zz ( ) ( )
gg ξξ
3
44
10
4
Torsional inertia constant (cm )
1 h
3
I T+2KA
th
4
10 3
3
Torsional modulus (cm )
I
t
C = 10
constant t
T+ KT/
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= − −
g o
3 16 3(12−3π)
4
(mm )
11π
4
I= −− r
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
rr+ (mm)
oi
R =
c
2
16
=
=
=
=
=
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oSIST prEN 10219-2:2018
prEN 10219-2:2018 (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 (m /m)
P
A =
s
3
10
2
Cross sectional area (cm )
πHB−−H 2T B−2T
( )( )
A=
2
4×10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
Major axis 4
3 π
3
(cm )
BH −−B 22T H− T
( )( )
64
I =
yy
4
10
Minor axis π 4
3
3
(cm )
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
Major axis 3
20I
yy (cm )
W =
elyy
H
Minor axis 20I 3
zz
(cm )
W =
elzz
B
Plastic section modulus
2
Major axis 2 3
(cm )
HB−−H 22T B− T
( ) ( )
W =
plyy
3
6×10
2
Minor axis 2 3
(cm )
B H−−B 22T H− T
( ) ( )
W =
plzz
3
6×10
17
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oSIST prEN 10219-2:2018
prEN 10219-2:2018 (E)
2 3
Torsional inertia 4
1 4AT UT
(cm )
m
I +
constant
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 HB−
U HB+−2T 1+0,25
( )
22HB+ − T
18
=
=
---------------------- Page: 20 ----------------------
oSIST prEN 10219-2:2018
prEN 10219-2:2018 (E)
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 per Cross- Second Radius of Elastic Plastic Torsional Torsional Super- Nominal
outside thickness unit sectional moment gyration section section inertia modulus ficial length
diameter length area of area modulus modulus constant constant area per per tonne
metre
length
D T M A I i Wel Wpl It Ct As
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
...
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