Hot finished steel structural hollow sections - Part 2: Tolerances, dimensions and sectional properties

This part of prEN 10210 specifies tolerances for hot finished circular, square, rectangular and elliptical structural hollow sections, manufactured in wall thicknesses up to 120 mm, in the following size ranges:
Circular: Outside diameters up to 2 500 mm
Square: Outside dimensions up to 800 mm x 800 mm
Rectangular: Outside dimensions up to 750 mm x 500 mm
Elliptical: Outside dimensions up to 500 mm x 250 mm
The formulae for calculating sectional properties of sections manufactured to the dimensional tolerances of this standard, to be used for the purposes of structural design, are given in Annex A.
Dimensions and sectional properties for a limited range covering the more common sizes are given in Annex B.
The general conditions are specified in prEN 10210-1 (product characteristics, test methods and performance criteria that apply under the Construction Products Regulations) and the technical delivery conditions in prEN 10210-2.
NOTE   The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation used for structural design in the structural Eurocodes.

Warmgefertigte Hohlprofile für den Stahlbau - Teil 2: Grenzabmaße, Maße und statische Werte

Dieser Teil der EN 10210 enthält die Anforderungen an die Grenzabmaße und Formtoleranzen von warmgefertigten Hohlprofilen für den Stahlbau mit kreisförmigem, quadratischem, rechteckigem oder elliptischen Querschnitt; hergestellt in Wanddicken bis 120 mm und den folgenden Abmessungen,
kreisförmig: Außendurchmesser bis zu 2 500 mm
quadratisch: Außendurchmesser bis zu 800 mm x 800 mm
rechteckig: Außendurchmesser bis zu 750 mm x 500 mm
elliptisch: Außendurchmesser bis zu 500 mm x 250 mm
Die Formeln zur Berechnung der statischen Werte zur Festigkeitsauslegung der Hohlprofile, die gemäß der Grenzabmaße dieser Norm hergestellt werden, sind in Anhang A angegeben.
Die Maße und statischen Werte sind für eine Reihe von Standardabmessungen in Anhang B angegeben..
Die allgemeinen Bedingungen sind in EN 10210-1 (Erzeugnismerkmale, Prüfkriterien und Leistungskriterien gemäß der Bauproduktenverordnung) und die allgemeinen technischen Lieferbedingungen sind in EN 10210-2 festgelegt.
ANMERKUNG      Die Bezeichnung der Hauptachsen (yy) und die der Nebenachsen (zz) der Hohlprofile erfolgt in Anlehnung an die Achsenbezeichnung, die für die Festigkeitsauslegung in den Eurocodes verwendet wird.

Profils creux de construction finis à chaud en aciers - Partie 2 : Tolérances, dimensions et caractéristiques de section

Le présent document spécifie les tolérances pour les profils creux de construction finis à chaud circulaires, carrés, rectangulaires ou elliptiques, fabriqués en épaisseur jusqu’à 120 mm, pour les gammes de dimensions suivantes :
- Circulaire : Diamètres extérieurs jusqu’à 2 500 mm ;
- Carré : Dimensions extérieures jusqu’à 800 mm x 800 mm ;
- Rectangulaire : Dimensions extérieures jusqu’à 750 mm x 500 mm ;
- Elliptique : Dimensions extérieures jusqu’à 500 mm x 250 mm.
Les formules pour le calcul des caractéristiques de section pour les profils fabriqués aux tolérances dimensionnelles de la présente norme, à utiliser pour les besoins de la conception de structures, sont données en Annexe A.
Les dimensions et les caractéristiques de section pour une gamme limitée couvrant les dimensions les plus courantes sont données à l’Annexe B.
NOTE   Les désignations de l’axe principal (yy) et de l’axe secondaire (zz) du profil sont alignées sur la désignation des axes utilisée en conception dans les Eurocodes de construction.

Vroče izdelani votli konstrukcijski profili iz jekla - 2. del: Mere, mejni odstopki in značilnosti profilov

Ta del standarda prEN 10210 določa tolerance za vroče izdelane okrogle, kvadratne, pravokotne in ovalne konstrukcijske votle profile, izdelane z debelino sten do 120 mm v naslednjih razponih velikosti:
Okrogli: zunanji premer do 2.500 mm
Kvadratni: zunanje dimenzije do 800 mm × 800 mm
Pravokotni: zunanje dimenzije do 750 mm × 500 mm
Ovalni: zunanje dimenzije do 500 mm × 250 mm
Formule za izračun značilnosti profilov, izdelanih v okviru dimenzijskih mejnih odstopkov tega standarda, ki se uporabljajo za projektiranje konstrukcij, so navedene v dodatku A.
Mere in značilnosti profilov za omejen nabor, ki obsega pogostejše velikosti, so navedene v dodatku B.
Splošni pogoji so določeni v standardu prEN 10210-1 (značilnosti izdelkov, preskusni postopki in merila učinkovitosti, ki veljajo v skladu z uredbami o gradbenih proizvodih) in tehničnih dobavnih pogojih v standardu prEN 10210-2.
OPOMBA: Označevanje daljše osi profila (yy) in njegove krajše osi (zz) se ujema z oznako osi, ki se uporablja za konstrukcijsko projektiranje v konstrukcijskih evrokodih.

General Information

Status
Published
Public Enquiry End Date
31-Oct-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 10210-2:2019
01-julij-2019
Nadomešča:
SIST EN 10210-2:2006
SIST EN 10210-2:2006/AC:2007

Vroče izdelani votli konstrukcijski profili iz jekla - 2. del: Mere, mejni odstopki in

značilnosti profilov

Hot finished steel structural hollow sections - Part 2: Tolerances, dimensions and

sectional properties

Warmgefertigte Hohlprofile für den Stahlbau - Teil 2: Grenzabmaße, Maße und statische

Werte

Profils creux de construction finis à chaud en aciers - Partie 2 : Tolérances, dimensions

et caractéristiques de section
Ta slovenski standard je istoveten z: EN 10210-2:2019
ICS:
77.140.45 Nelegirana jekla Non-alloyed steels
77.140.70 Jekleni profili Steel profiles
SIST EN 10210-2:2019 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN 10210-2:2019
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SIST EN 10210-2:2019
EN 10210-2
EUROPEAN STANDARD
NORME EUROPÉENNE
May 2019
EUROPÄISCHE NORM
ICS 77.140.75 Supersedes EN 10210-2:2006
English Version
Hot finished steel structural hollow sections - Part 2:
Tolerances, dimensions and sectional properties

Profils creux de construction finis à chaud en aciers - Warmgefertigte Hohlprofile für den Stahlbau - Teil 2:

Partie 2 : Tolérances, dimensions et caractéristiques de Grenzabmaße, Maße und statische Werte

section
This European Standard was approved by CEN on 20 March 2019.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this

European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references

concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN

member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by

translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management

Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,

Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,

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

Turkey and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels

© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN 10210-2:2019 E

worldwide for CEN national Members.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Contents Page

European foreword ....................................................................................................................................................... 3

1 Scope .................................................................................................................................................................... 4

2 Normative references .................................................................................................................................... 4

3 Terms and definitions ................................................................................................................................... 4

4 Symbols ............................................................................................................................................................... 4

5 Information to be obtained by the manufacturer ............................................................................... 6

6 Tolerances ......................................................................................................................................................... 6

7 Measurement of size and shape ................................................................................................................. 8

8 Dimensions and sectional properties ................................................................................................... 13

Annex A (normative) Formulae for the calculation of sectional properties .......................................... 14

A.1 General ............................................................................................................................................................. 14

A.2 Circular hollow sections ............................................................................................................................ 14

A.3 Rectangular, including square, hollow sections ............................................................................... 15

A.4 Elliptical hollow sections ........................................................................................................................... 17

Annex B (normative) Sectional properties for a limited range of standard sizes ............................... 19

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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
European foreword

This document (EN 10210-2:2019) has been prepared by Technical Committee CEN/TC 459 “ECISS -

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

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

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

shall be withdrawn at the latest by November 2019.

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

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

This document supersedes EN 10210-2:2006.
The main changes with respect to the previous edtion are listed below:
a) paragraph 5.2 two options were added;
b) in Table 2 the mass tolerances were changed;
c) Figure 2 was updated;
d) for Tables B.1, B.2 and B.3 larger sizes and wall thicknesses were added;
e) standard was editorially revised.
This standard consists of the following parts:

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

marking) (in preparation)

— EN 10210-1, Hot finished steel structural hollow sections — Part 1: Technical delivery conditions

— EN 10210-2, Hot finished steel structural hollow sections — Part 2: Tolerances, dimensions and

sectional properties

— EN 10210-3, Hot finished steel structural hollow sections — Part 3: Technical delivery conditions for

mechanical engineering purposes (in preparation)

It forms part of a series of standards on hollow sections together with EN 10219-1 to EN 10219-3.

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

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

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

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

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

Turkey and the United Kingdom.

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

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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
1 Scope

This document specifies tolerances for hot finished circular, square, rectangular and elliptical structural

hollow sections, manufactured in wall thicknesses up to 120 mm, in the following size ranges:

— Circular: Outside diameters up to 2 500 mm;
— Square: Outside dimensions up to 800 mm × 800 mm;
— Rectangular: Outside dimensions up to 750 mm × 500 mm;
— Elliptical: Outside dimensions up to 500 mm × 250 mm.

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

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

Dimensions and sectional properties for a limited range covering the more common sizes are given in

Annex B.

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

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

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

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

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

EN 10210-1, Hot finished structural hollow sections of non-alloy and fine grain steels — Part 1: Technical

delivery conditions
3 Terms and definitions

For the purposes of this document, the terms and definitions given in EN 10210-1 apply.

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

— IEC Electropedia: available at http://www.electropedia.org/
— ISO Online browsing platform: available at http://www.iso.org/obp
4 Symbols
For the purposes of this document, the symbols defined in Table 1 apply.
Table 1 — Symbols and definitions
Symbol Unit Definition
A cm Cross-sectional area
Area of the surface delimited by the perimeter at mid-
A mm
thickness
A m /m Superficial area per metre length
Specified side dimension of a square hollow section.
B mm
Specified dimension of the shorter side of a rectangular
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Symbol Unit Definition
hollow section. Specified outside dimension of an elliptical
section on its minor axis
Length of corner region of a square or rectangular hollow
C /C mm
1 2
section
C cm Torsional modulus constant
D mm Specified outside diameter of a circular hollow section
Maximum and minimum outside diameter of a circular
D /D mm
max min
hollow section measured in the same plane
e mm Deviation from straightness
Specified dimension of the longer side of a rectangular
H mm hollow section. Specified outside dimension of an elliptical
section on its major axis
I cm Second moment of area
Torsional inertia constant (polar moment of inertia in the
I cm
case of circular hollow sections only)
i cm Radius of gyration
L mm Length
M kg/m Mass per unit length
O % Out-of-roundness
P mm External perimeter of an elliptical hollow section
External corner radius of a square or rectangular hollow
R mm
section
T mm Specified thickness
U mm Perimeter of an elliptical hollow section at mid-thickness
V mm Total measured twist
V mm Twist measured at one end of a section
W cm Elastic section modulus
W cm Plastic section modulus
Concavity of a side of a square or rectangular hollow
x mm
section
Convexity of a side of a square or rectangular hollow
x mm
section
Axis of cross-section, major axis of a rectangular hollow
yy —
section
Axis of cross-section, minor axis of a rectangular hollow
zz —
section
Angle between adjacent sides of a square or rectangular
θ °
hollow section
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
5 Information to be obtained by the manufacturer
5.1 Mandatory information

The following mandatory information from this part of EN 10210 shall be obtained by the manufacturer

at the time of enquiry and order:
a) the dimensions (see Clause 8);
b) the type of length, length range or length (see Table 3).

NOTE This Information is included in the list of information to be obtained by the manufacturer contained in

EN 10210-1.
5.2 Options

Options are specified in this part of EN 10210. In the event that the purchaser does not indicate a wish

to implement one of these options at the time of enquiry and order, the manufacturer shall supply in

accordance with the basic specification.
+150
Option 2.1
The tolerance on approximate length shall be mm (see Table 3).
Option 2.2 Tolerance of external corner radius of 2T maximum at each corner.

Option 2.3 Out-of-roundness tolerances for diameter to thickness ratio exceeding 100 (see

Table 2, footnote d).
6 Tolerances

6.1 Tolerances shall not exceed the values given in Table 2 for shape, straightness and mass, Table 3

for manufacturer's delivered length and Table 4 for the height of the internal and external weld bead of

submerged arc welded hollow sections.

6.2 The internal corners of square and rectangular hollow sections shall be rounded, except in the

case of EW sections for a corner containing the weld, should the weld be located in the corner region.

NOTE The internal corner profile is not specified.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Table 2 — Tolerances on shape, straightness and mass
Square and
Circular hollow Elliptical hollow
Characteristic rectangular hollow
sections sections
sections
±1 % with a minimum
Outside dimensions (D, B,
of ± 0,5 mm and a ±1 % with a minimum of ± 0,5 mm
maximum of ± 10 mm
b c
Thickness (T) - 10 %
2 % for hollow sections
having a diameter to
Out-of-roundness (O) —
thickness ratio not
exceeding 100
Concavity/Convexity (x ,
— 1 % —
x )
Squareness of side (θ) — 90° ± 1° —
External corner profile 3T maximum at each
— —
(C , C or R) corner
1 2
Twist (V) — 2 mm plus 0,5 mm/m length
Straightness (e) 0,2 % of total length and 3 mm over any 1 m length
Mass (M) - 6 %/+ 8 % on individual delivered lengths

For elliptical hollow sections of sizes H < 250 mm, the permitted tolerance is twice the value given in this

table.
The positive deviation is limited by the tolerance on mass.

For seamless sections thicknesses of less than 10 % but not less than 12,5 % of the nominal thickness may

occur in smooth transition areas over not more than 25 % of the circumference.

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.

The sides need not be tangential to the corner arcs.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Table 3 — Tolerances on manufacturer's delivered length
Dimensions in millimetres
Type of length Range of length or length L Tolerance
10 % of sections supplied may
be below the minimum for the
4 000 ≤ L ≤ 16 000 with a range
Random length ordered range but not shorter
of 2 000 per order item
than 75 % of the minimum
range length
Approximate length 4 000 ≤ L ≤ 16 000 ±500 mm
+10
mm
2 000 ≤ L ≤ 6 000
Exact length
c +15
6 000 < L
mm

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

range or length.
+150
Option 3.1 the tolerance on approximate length is mm.
Common lengths available are 6 m and 12 m.

Table 4 — Tolerance on height of internal and external weld seam for submerged arc welded

hollow sections
Dimensions in millimetres
Thickness, T Maximum weld bead height
≤ 14,2 3,5
> 14,2 4,8
7 Measurement of size and shape
7.1 General

All external dimensions, including out-of-roundness, shall be measured at a distance from the end of the

hollow section of not less than D for circular sections, B for square sections or H for rectangular and

elliptical sections, with a minimum of 100 mm.
7.2 Outside dimensions

For circular hollow sections the diameter (D) and for elliptical hollow sections the outside dimensions

(B and H) shall be measured either directly, e.g. using a calliper gauge, or for circular tubes by

circumference tape at the discretion of the manufacturer.

The limiting cross-sectional positions for measuring B and H for square and rectangular hollow sections

are shown in Figure 1.
7.3 Thickness

The thickness (T) of welded hollow sections shall be measured at a position not less than 2T from the

weld.

The limiting cross-sectional positions for measuring the thickness of square and rectangular hollow

sections are shown in Figure 1.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)

NOTE Thickness is normally measured within a distance of half the outside diameter or half the dimension of

the longer side from the end of the section.
Dimensions in millimetres
Key
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
1 2 1 2
××××100 %; 100 %; 100 %; 100 %
B B HH

where B and H are the dimensions of the sides containing the concavity x or the convexity x .

1 2
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)

Figure 2 — Measurement of concavity/convexity of square or rectangular hollow sections

7.6 Squareness of sides

The deviation from squareness of the sides of a square or rectangular hollow section shall be measured

as the difference between 90° and θ as shown in Figure 3.
Figure 3 — Squareness of sides of square or rectangular hollow sections
7.7 External corner profile

7.7.1 The external corner profile of a square or rectangular hollow section shall be measured

according to 7.7.2 or 7.7.3 at the discretion of the manufacturer.
7.7.2 The corner arc shall be measured with a radius gauge.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)

7.7.3 The distance between the intersection of the flat side and the corner arc and the intersection of

the projections of the flat sides to the corner (C and C in Figure 4) shall be measured.

1 2
Figure 4 — Outside corner profile of square or rectangular hollow sections
7.8 Twist

7.8.1 The twist (V) in a square or rectangular hollow section shall be determined in accordance with

7.8.2 or 7.8.3 at the discretion of the manufacturer. The twist (V) in an elliptical hollow section shall be

determined in accordance with 7.8.4.

7.8.2 The hollow section shall be placed on a horizontal surface with one side at one end pressed flat

against the surface. At the opposite end of the hollow section, the difference in height of the two lower

corners from the horizontal surface (see Figure 5) shall be determined.
Figure 5 — Twist of square or rectangular hollow sections

7.8.3 The twist of square and rectangular hollow sections shall be measured with a spirit level and

micrometer gauge (screw). The reference length of the spirit level shall be the distance between the

intersection of the flat sides and the corner arcs (see Figure 6). The twist V is the difference between the

values V (see Figure 6) measured at each end of the hollow section.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Key
1 spirit level
2 H for rectangular sections, B for square sections
Figure 6 — Measurement of twist on square or rectangular hollow sections

7.8.4 The twist of elliptical hollow sections shall be measured with a spirit level and micrometer

gauge (screw). The reference length of the spirit level shall be the dimension of the sections major axis

(H). The twist V is the difference between the values V (see Figure 7) measured at each end of the

hollow section.
Key
1 spirit level
Figure 7 — Measurement of twist of elliptical hollow sections
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
7.9 Straightness

The deviation from straightness (e) of the total length of a hollow section shall be measured at the point

of maximum departure of the hollow section from a straight line connecting its two ends, as shown in

Figure 8 where L is the manufacturer's delivered length. The percentage deviation from straightness

shall be calculated as follows:
× 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 10210 and

manufactured to the dimensional tolerances of this standard, required for the purposes of structural

design, shall be calculated in accordance with Annex A.

The sectional properties for a limited range of standard sizes of hot finished circular, square,

rectangular and elliptical hollow sections are given in Table B.1 for circular sections, Table B.2 for

square sections, Table B.3 for rectangular sections and Table B.4 for elliptical sections. These sectional

properties were calculated from the formulae given in Annex A.

NOTE Not all sizes and thicknesses shown in Tables B.1, B.2, B.3 and B.4 are available from all manufacturers

and the user is recommended to check availability. Other sizes and thicknesses within the scope of this standard

may be available.
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Annex A
(normative)
Formulae for the calculation of sectional properties
A.1 General

Tables B.1, B.2, B.3 and B.4 of this standard give nominal sectional properties for a limited range of sizes

of hot finished hollow sections. The nominal sectional properties of hollow sections supplied to the

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

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

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

A.2 Circular hollow sections

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

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

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

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

Superficial area per metre (m /m)
π D
A =
length
Cross-sectional area 22 (cm )
π Dd−
( )
A =
4 × 10
Mass per unit length M = 0,785 × A (kg/m)
Second moment of area 4 4 (cm )
π Dd−
( )
I =
64 × 10
Radius of gyration (cm)
i =
Elastic section modulus (cm )
2I × 10
W =
Plastic section modulus (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 10210-2:2019
EN 10210-2:2019 (E)
A.3 Rectangular, including square, hollow sections

The sectional properties for square hollow sections, in Table B.2, and for rectangular hollow sections, in

Table B.3, are calculated using the formulae given below.
Specified side dimension of a square hollow section or shorter side (B) (mm)
of a rectangular hollow section
Specified dimension of the longer side of a rectangular hollow (H) (mm)
section
Specified thickness (T) (mm)
External corner radius (r ) for calculation is: (r = 1,5T) (mm)
o o
Internal corner radius (ri) for calculation is: (ri = 1,0T) (mm)

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

sections, may vary within the tolerances allowed by this standard and the sectional properties still

remain valid.
Superficial area per metre length (m /m)
A HB+− 4r + π r
( )
s o o
Cross-sectional area 2 2 (cm )
2T B+−H 24T − − π r − r
( ) ( )
( )
o i
A =
Mass per unit length M = 0,785A (kg/m)
Second moment of area
Major axis 3 (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 =
Elastic section modulus
Major axis (cm )
W = × 10
el yy
Minor axis (cm )
W = × 10
el zz
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Plastic section modulus
Major axis (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 =
pl zz − −+44Ah A h
( ) ( )
gg ξξ
Torsional (cm )
 
1 h
I T + 2KA
 
inertia
 
constant
Torsional (cm )
 
C = 10 
modulus
T + KT/
 
 
constant
Where (mm )
π
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
K =
(mm)
rr+
R =
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
A.4 Elliptical hollow sections

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

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

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

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

Superficial area per (m /m)
As =
meter length
Cross sectional area (cm )
 
π HB−−H 2T B− 2T
( ) ( )
 
A =
4 × 10
Mass per unit length M = 0,785 A (kg/m)
Second moment of area
Major axis 3 (cm )
 π
BH − B− 22T H− T
( ) ( )
I =
Minor axis 3 (cm )
  π
HB −−H 2T B− 2T
( ) ( )
 
 
I =
Radius of gyration
Major axis (cm)
i =
Minor axis (cm)
i =
Elastic section modulus
Major axis (cm )
20I
W =
elyy
Minor axis (cm )
20I
W =
elzz
Plastic section modulus
Major axis 2 (cm )
H B−−H 2T B− 2T
( ) ( )
W =
plyy
6 × 10
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SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Minor axis (cm )
BH− B− 22T H− T
( ) ( )
W =
plzz
6 × 10
Torsional inertia constant 2 (cm )
4 AT
1 UT
I +
U 3
Torsional modulus (cm )
 
 
constant
 
10I
C =
 
 2A
T +
 
 
 
where (mm )
π H− T BT−
( ) ( )
A =
 (mm)
π H − B
P= HB++1 0,25
( )
2 HB+
2 (mm)
 
π H − B
U HB+− 2T 1+ 0,25
( )  
22HB+− T
 
---------------------- Page: 20 ----------------------
SIST EN 10210-2:2019
EN 10210-2:2019 (E)
Annex B
(normative)
Sectional properties for a limited range of standard sizes

Table B.1 — Dimensions and sectional properties of a limited range of circular hollow sections

(see Figure B.1)
Super-
Speci- Nomi-
Speci- Mass Cross- ficial
fied Second Radius Elastic Plastic Torsional Torsional nal
fied per sectio- area
outside moment of section section inertia modulus length
thick- unit nal per
dia- of area gyration modulus modulus constant constant per
ness length area metre
meter ton
length
D T M A I i W W I C A
el pl t t s
2 4 3 3 4 3 2
mm mm kg/m cm cm cm cm cm cm cm m /m m
2,3 1,08 1,37 0,629 0,677 0,590 0,834 1,26 1,18 0,067 928
21,3 2,6 1,20 1,53 0,681 0,668 0,639 0,915 1,36 1,28 0,067 834
3,2 1,43 1,82 0,768 0,650 0,722 1,06 1,54 1,44 0,067 700
2,3 1,40 1,78 1,36 0,874 1,01 1,40 2,71 2,02 0,085 717
26,9 2,6 1,56 1,98 1,48 0,864 1,10 1,54 2,96 2,20 0,085 642
3,2 1,87 2,38 1,70 0,846 1,27 1,81 3,41 2,53 0,085 535
2,6 1,99 2,54 3,09 1,10 1,84 2,52 6,19 3,67 0,106 501
33,7 3,2 2,41 3,07 3,60 1,08 2,14 2,99 7,21 4,28 0,106 415
4,0 2,93 3,73 4,19 1,06 2,49 3,55 8,38 4,97 0,106 341
2,6 2,55 3,25 6,46 1,41 3,05 4,12 12,9 6,10 0,133 392
3,2 3,09 3,94 7,62 1,39 3,59 4,93 15,2 7,19 0,133 323
42,4
4,0 3,79 4,83 8,99 1,36 4,24 5,92 18,0 8,48 0,133 264
5,0 4,60 5,90 10 1,33 4,90 7,04 20,9 9,90 0,130 217
2,6 2,93 3,73 9,8 1,62 4,05 5,44 19,6 8,10 0,152 341
3,2 3,56 4,53 11,6 1,60 4,80 6,52 23,2 9,59 0,152 281
48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,
...

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