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

Status
Published
Public Enquiry End Date
14-Nov-2018
Publication Date
26-May-2019
Technical Committee
Current Stage
6060 - National Implementation/Publication (Adopted Project)
Start Date
20-May-2019
Due Date
25-Jul-2019
Completion Date
27-May-2019

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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

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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 -

European Committee for Iron and Steel Standardization” , the secretariat of which is held by AFNOR.

This European Standard shall be given the status of a national standard, either by publication of an

identical text or by endorsement, at the latest by November 2019, and conflicting national standards

shall be withdrawn at the latest by November 2019.

Attention is drawn to the possibility that some of the elements of this document may be the subject of

patent rights. CEN shall not be held responsible for identifying any or all such patent rights.

This document supersedes EN 10219-2:2006.
The main changes with respect to the previous edtion are listed below:
a) elliptical hollow sections were added;
b) Annex A concerning the additional tolerances for piling tubes was removed;
c) subclause 5.2 was added with one option;
d) in Table 3 the length tolerances for exact length were changed;
e) in 7.1 one paragraph was added;
f) standard was editorially revised.
This standard consists of the following parts:

— EN 10368, Steel structural hollow sections – General (Characteristics, evaluation of conformity and

marking) (in preparation)

— EN 10219-1, Cold formed welded steel structural hollow sections - Part 1: Technical delivery

conditions

— EN 10219-2, Cold formed welded steel structural hollow sections - Part 2: Tolerances, dimensions and

sectional properties

— EN 10219-3, Cold formed welded steel structural hollow sections - Part 3: Technical delivery

conditions for mechanical engineering purposes (in preparation)

It forms part of a series of standards on hollow sections together with EN 10210-1 to EN 10210-3.

According to the CEN-CENELEC Internal Regulations, the national standards organisations of the

following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,

Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia,

France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,

Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,

Turkey and the United Kingdom.

Through its subcommittee SC 3 “Structural steels other than reinforcements” (secretariat: DIN)

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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
1 Scope

This document specifies tolerances for cold formed welded circular, square, rectangular and elliptical

structural hollow sections, manufactured in wall thicknesses up to 40 mm, in the following size ranges:

— circular: Outside diameters up to 2 500 mm;
— square: Outside dimensions up to 500 mm × 500 mm;
— rectangular: Outside dimensions up to 500 mm × 300 mm;
— elliptical: Outside dimensions up to 480 mm × 240 mm.

The formulae for calculating sectional properties of sections manufactured to the dimensional

tolerances of this standard, to be used for the purposes of structural design, are given in Annex A.

Dimensions and sectional properties for a limited range of more common sizes are given in Annex B.

NOTE The designation of the sections' major axis (yy) and minor axis (zz) aligns with the axis designation

used for structural design in the structural Eurocodes.
2 Normative references

The following documents are referred to in the text in such a way that some or all of their content

constitutes requirements of this document. For dated references, only the edition cited applies. For

undated references, the latest edition of the referenced document (including any amendments) applies.

EN 10219-1, Cold formed welded structural hollow sections of non-alloy and fine grain steels — Part 1:

Technical delivery conditions
3 Terms and definitions

For the purposes of this document, the terms and definitions given in EN 10219-1 apply.

ISO and IEC maintain terminological databases for use in standardization at the following addresses:

— IEC Electropedia: available at http://www.electropedia.org/
— ISO Online browsing platform: available at http://www.iso.org/obp
4 Symbols
For the purposes of this document, the symbols defined in Table 1 apply.
Table 1 — Symbols and definitions
Symbol Unit Definition
A cm Cross-sectional area
A mm Area of the surface delimited by the perimeter at mid-thickness
A m /m Superficial area per metre length
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
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
Symbol Unit Definition
C cm Torsional modulus constant
D mm Specified outside diameter of a circular hollow section
D /D mm Maximum and minimum outside diameter of a circular hollow section
max min
measured in the same plane
e mm Deviation from straightness
H mm Specified dimension of the longer side of a rectangular hollow section.
Specified outside dimension of an elliptical section on its major axis
I cm Second moment of area
I cm Torsional inertia constant (polar moment of inertia in the case of
circular hollow sections only)
i cm Radius of gyration
L mm Length
M kg/m Mass per unit length
O % Out-of-roundness
P mm External perimeter of an elliptical hollow section
R mm External corner radius of a square or rectangular hollow section
T mm Specified thickness
U mm Perimeter of an elliptical hollow section at mid-thickness
V mm Total measured twist
V mm Twist measured at one end of a section
W cm Elastic section modulus
W cm Plastic section modulus
x mm Concavity of a side of a square or rectangular hollow section
x mm Convexity of a side of a square or rectangular hollow section
yy — Axis of cross-section, major axis of a rectangular hollow section
zz — Axis of cross-section, minor axis of a rectangular hollow section
θ ° Angle between adjacent sides of a square or rectangular hollow section
5 Information to be obtained by the manufacturer
5.1 Mandatory information

The following mandatory information from this part of EN 10219 shall be obtained by the manufacturer

at the time of enquiry and order:
a) the dimensions (see Clause 8);
b) the type of length, length range or length (see Table 4);
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)

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
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
100
Concavity/convexity — Max. 0,8 % with a —
b minimum of 0,5 mm
(x , x )
1 2
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
Characteristic Circular hollow Square and rectangular Elliptical hollow
sections hollow sections section
Side Tolerance
length
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)

When the diameter to thickness ratio exceeds 100, application of tolerance on out-of-roundness is not

required, unless specifically agreed (see 5.2).

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
The sides need not be tangential to the corner
arcs.
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
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
< 6 000 +10
6 000 ≤ L ≤ 10 000 +15
Exact length
> 10 000
mm +1 mm/m

The manufacturer shall establish at the time of enquiry and order the type of length required and

the length range or length.
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.
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
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
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
( )
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
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SIST EN 10219-2:2019
EN 10219-2:2019 (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.
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SIST EN 10219-2:2019
EN 10219-2:2019 (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.
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SIST EN 10219-2:2019
EN 10219-2:2019 (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

hollow section.
Key
1 spirit level
Figure 7 — Measurement of twist of elliptical hollow sections
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SIST EN 10219-2:2019
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:
× 100 %

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.
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SIST EN 10219-2:2019
EN 10219-2:2019 (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 cold formed hollow sections. The nominal sectional properties of hollow sections supplied to the

requirements of this standard shall be calculated using the formulae given below.

NOTE The designation of the sections' major axis (yy) and minor axis (zz) aligns with the axis designation

used for structural design in the structural Eurocodes. This is a change from previous axis designations.

A.2 Circular hollow sections

The sectional properties for circular hollow sections in Table B.1 are calculated using the formulae

given below
Specified outside diameter (D) (mm)
Specified thickness (T) (mm)
Inside diameter (d = D - 2T) (mm)

These parameters, which characterize the shape of circular hollow sections, may vary within the

tolerances allowed by this standard and the sectional properties still remain valid.

Superficial area per metre (m /m)
π D
A =
length
Cross-sectional area 22 (cm )
π Dd−
( )
4× 10
Mass per unit length M = 0,785 × A (kg/m)
Second moment of area 4 4 (cm )
π Dd−
( )
64× 10
Radius of gyration (cm)
Elastic section modulus (cm )
2I× 10
W =
Plastic section modulus 33 (cm )
Dd−
W =
6× 10
Torsional inertia constant (cm )
II= 2
(polar moment of inertia)
Torsional modulus constant C = 2W (cm )
t el
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
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:
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:
for thicknesses ≤ 6 mm 1,0 T (mm)
for thicknesses > 6 mm and ≤ 10 mm 1,5 T (mm)
for thicknesses > 10 mm 2,0 T (mm)

These parameters, which characterize the geometric shape of rectangular, or square, hollow sections,

may vary within the tolerances allowed by this standard and the sectional properties still remain valid.

Superficial area per metre length (m /m)
A HB+− 4r+π r
( )
s o o
Cross-sectional area 2 2 (cm )
2T B+−H 24T − −π r − r
( ) ( )
( )
o i
Mass per unit length M = 0,785A (kg/m)
Second moment of area
Major axis (cm )
 
B−−22T H T
( )( )
 
1 BH
2 2
I − −+44I Ah+ I+ A h
 ( ) ( )
g gg ξξ ξ ξ
12 12
 
 
Minor axis (cm )
H− 2T B− 2T
( )( )
1 HB
2 2
I − −+44I Ah+ I+ A h
( ) ( )
g gg ξξ ξ ξ
12 12
Radius of gyration
Major axis (cm)
i =
Minor axis (cm)
i =
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
Elastic section modulus
Major axis (cm )
W = × 10
el yy
Minor axis (cm )
W = × 10
el zz
Plastic section modulus
Major axis 2 (cm )
B−−22T H T
( )( )
1 BH
W = − −+44Ah A h
pl yy
( ) ( )
gg ξξ
Minor axis (cm )
H− 2T B− 2T
( )( )
1 HB
W = − −+44Ah A h
pl zz
( ) ( )
gg ξξ
Torsional inertia constant (cm )
 
1 h
I T+ 2KA
 
10  
Torsional modulus (cm )
 
C = 10 
constant
T+ KT/
 
 
Where (mm )
Ar1−
(mm )
Ar1−
ξ i
Major axis (mm)
H 10− 3π
h − r
2 12-3π
(For minor axis substitute B for H.)
Major axis (mm)
HT−−2 10 3π
hr−
ξ i
2 12-3π
(For minor axis substitute B for H.)
(mm )
 
11π
 
Ir= −−
 
3 16
3 12− 3π
( )
 
(mm )
 
11π
 
Ir= −−
ξξ i
 
3 16
3 12− 3π
( )
 
h = 2[(B – T) + (H – T)] – 2Rc(4 - π) (mm)
A = (B – T) (H – T)] – R (4 - π) (mm)
h c
(mm )
2AT
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
(mm)
rr+
R =
A.4 Elliptical hollow sections

The sectional properties for elliptical hollow sections in Table B.4 are calculated using the formulae

given below
Specified outside dimension of an elliptical section on its major axis (H) (mm)
Specified outside dimension of an elliptical section on its minor axis (B) (mm)
Specified thickness (T) (mm)

These parameters, which characterize the geometric shape of elliptical hollow sections, may vary

within the tolerances allowed by this standard and the sectional properties still remain valid.

Superficial area (m /m)
A =
Cross sectional area   (cm )
π HB−−H 2T B− 2T
( )( )
 
4× 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
Major axis 4
3 π
(cm )
BH − B− 22T H− T
( )( )
I =
Minor axis 4
 3π
(cm )
HB −−H 2T B− 2T
( )( )
 
 
I =
Radius of gyration
Major axis (cm)
i =
Minor axis (cm)
i =
Elastic section modulus
Major axis 3
20I
yy (cm )
W =
elyy
Minor axis 3
20I
(cm )
W =
elzz
Plastic section modulus
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SIST EN 10219-2:2019
EN 10219-2:2019 (E)
Major axis 3
(cm )
H B−−H 2T B− 2T
( ) ( )
W =
plyy
6× 10
Minor axis 2 3
(cm )
BH− B− 22T H− T
( ) ( )
W =
plzz
6× 10
Torsional inertia 2 4
4 AT
(cm )
1 UT
I +
constant
U 3
Torsional modulus (cm )
 
 
constant
 10I 
C = 
 
T+
 
 
 
where (mm )
π H− T BT−
( )( )
A =
(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
 
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SIST EN 10219-2:2019
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,
...

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