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BRITISH STANDARD I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
Hot finished structural hollow sections of non-alloy and fine grain steels — Part 2: Tolerances, dimensions and sectional properties
The European Standard EN 10210-2:2006 has the status of a British Standard
ICS 77.140.75
BS EN 10210-2:2006
BS EN 10210-2:2006 I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u This British Standard was t i t published under the authority s of the Standards Policy and n I Strategy Committee : on 31 May 2006 y p o C d © BSI 2006 e s n e c i L ISBN 0 580 46988 3
National foreword This British Standard is the official English language version of EN 10210-2:2006. It supersedes BS EN 10210-2:1997 which is withdrawn. The UK participation in its preparation was entrusted to Technical Committee ISE/12, Structural steels, which has the responsibility to: —
aid enquirers to understand the text;
—
present to the responsible international/European committee any enquiries on the interpretation, or proposals for change, and keep UK interests informed;
—
monitor related international and European developments and promulgate them in the UK.
A list of organizations represented on this committee can be obtained on request to its secretary. Cross-references The British Standards which implement international or European publications referred to in this document may be found in the BSI the BSI Catalogue under the section entitled “International Standards Correspondence Index”, or by using the “Search” facility of the BSI the BSI Electronic Catalogue or Catalogue or of British Standards Online. This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard does not of itself confer immunity from legal obligations.
Summary of pages This document comprises a front cover, an inside front cover, the EN title page, pages 2 to 31 and a back cover. The BSI copyright notice displayed in this document indicates when the document was last issued.
Amendments issued since publication publication Amd. No.
Date
Comments
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EUROPEAN STANDARD NORME EUROPÉENNE EUROPÄISCHE NORM
EN 10210-2 April 2006
I C S 7 7 . 1 4 0 .7 5
Supersedes EN 10210-2:1997
English Version
Hot finished structural hollow sections of non-alloy and fine grain steels - Part 2: Tolerances, dimensions and sectional properties Profils creux pour la construction finis à chaud en aciers non alliés et à grains fins - Partie 2 : Tolérances, dimensions et caractéristiques de profil
Warmgefertigte Hohlprofile für den Stahlbau aus unlegierten Baustählen und aus Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und statische Werte
This European Standard was approved by CEN on 16 March 2006. 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 Central Secretariat 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 Central Secretariat has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION COMITÉ EUROPÉEN DE NORMALISATION EUROPÄISCHES KOMITEE FÜR NORMUNG
Management Centre: rue de Stassart, 36
© 2006 CEN
All rights of exploitation exploitation in any form and by any means reserved reserved worldwide for CEN national Members.
B-1050 Brussels
Ref. No. EN 10210-2:2006: E
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Contents
Page
Foreword ..........................................................................................................................................................3 1
Scope ...................................................................................................................................................4
2
Normative references .........................................................................................................................4
3
Terms and definitions.........................................................................................................................4
4
Symbols...............................................................................................................................................4
5 5.1 5.2
Information to be obtained by the manufacturer..............................................................................5 Mandatory information .......................................................................................................................5 Options ................................................................................................................................................6
6
Tolerances...........................................................................................................................................6
7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9
Measurement of size and shape ........................................................................................................8 General ................................................................................................................................................8 Outside dimensions............................................................................................................................8 Thickness ............................................................................................................................................9 Out-of-roundness................................................................................................................................9 Concavity and convexity ....................................................................................................................9 Squareness of sides .........................................................................................................................10 External corner profile......................................................................................................................11 Twist...................................................................................................................................................11 Straightness ......................................................................................................................................13
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 ....................................20
2
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Foreword This European Standard (EN 10210-2:2006) has been prepared by Technical Committee ECISS/TC 10 “Structural steels - Grades and qualities”, the secretariat of which is held by NEN. 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 October 2006, and conflicting national standards shall be withdrawn at the latest by October 2006. This European Standard supersedes EN 10210-2:1997. This standard consists of the following parts under the general title 'Hot finished structural hollow sections of non-alloy and fine grain steels':
Part 1: Technical delivery conditions
Part 2: Tolerances, dimensions and sectional properties
It forms part of a series of standards on hollow sections together with EN 10219-1 and 2, which are also under revision. According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
3
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
1
Scope
This part of EN 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 of sizes are given in Annex B. Technical delivery conditions are specified in EN 10210-1. 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 referenced documents are indispensable for the application of this European Standard. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. EN 10210-1:2006, Hot finished structural hollow sections of non-alloy and fine grain steels — Part Technical delivery conditions
3
Terms and definitions
For the purposes of this European Standard, the terms and definitions given in EN 10210-1:2006 apply.
4
Symbols
For the purposes of this European Standard, the symbols defined in Table 1 apply.
4
1:
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table 1 —Symbols and definitions Symbol A Am As B
Unit 2 cm 2 mm 2 m /m mm
C 1/C 2 C t D Dmax/ Dmin
mm 3 cm mm mm
e H
mm mm
I I t
cm 4 cm
i L M O P R T U V V 1 W el W pl x1 x2 yy zz
cm mm kg/m % mm mm mm mm mm mm 3 cm 3 cm mm mm — — º
θ
5
4
Definition Cross-sectional area Area of the surface delimited by the perimeter at mid-thickness Superficial area per metre length 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 Length of corner region of a square or rectangular hollow section Torsional modulus constant Specified outside diameter of a circular hollow section The maximum and minimum outside diameter of a circular hollow section measured in the same plane Deviation from straightness Specified dimension of the longer side of a rectangular hollow section. Specified outside dimension of an elliptical section on its major axis Second moment of area Torsional inertia constant (polar moment of inertia in the case of circular hollow sections only) Radius of gyration Length Mass per unit length Out-of-roundness External perimeter of an elliptical hollow section External corner radius of a square or rectangular hollow section Specified thickness Perimeter of an elliptical hollow section at mid-thickness Total measured twist Twist measured at one end of a section Elastic section modulus Plastic section modulus Concavity of a side of a square or rectangular hollow section Convexity of a side of a square or rectangular hollow section Axis of cross-section, major axis of a rectangular hollow section Axis of cross-section, minor axis of a rectangular hollow section Angle between adjacent sides of a square or rectangular hollow section
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 type of length, length range or length (see Table 3).
b)
The dimensions (see Clause 8).
NOTE This information is included in the list of information to be obtained by the manufacturer contained in EN 10210-1.
5
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
5.2 Options One option is specified in this part of EN 10210. In the event that the purchaser does not indicate a wish to implement this option at the time of enquiry and order, the manufacturer shall supply in accordance with the basic specification. Option 2.1
6
the tolerance on approximate length shall be
+150 0 mm
(see Table 3).
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 NOTE
6
The internal corners of square and rectangular hollow sections shall be rounded. The internal corner profile is not specified.
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table 2 — Tolerances on shape, straightness and mass Characteristic
Outside dimensions ( D, B, H )
Circular hollow sections
±1 % with a minimum of ± 0,5 mm and a maximum of ± 10 mm
Square and rectangular hollow sections
Elliptical hollow sections
a
± 1 % with a minimum of ± 0,5 mm
-10 % b , c
Thickness (T ) Out-of-roundness (O)
2 % for hollow sections having a diameter to thickness ratio not exceeding 100 d
—
Concavity/Convexity ( x1, x2) e
—
1%
—
Squareness of side (θ)
—
90° ± 1°
—
External corner profile (C 1, C 2 or R) f
—
3T maximum at each corner
—
Twist (V )
—
2 mm plus 0,5 mm/m length
Straightness (e)
a
a
a
0,2 % of total length and 3 mm over any 1 m length
Mass ( M )
± 6 % on individual delivered lengths g
a
For elliptical hollow sections of sizes H < 250 mm the permitted tolerance is twice the value given in this table.
b
The positive deviation is limited by the tolerance on mass.
c
For seamless sections thicknesses of less than 10 % but not less than 12,5 % of the nominal thickness may occur in smooth transition areas over not more than 25 % of the circumference. d
Where the diameter to thickness ratio exceeds 100, the tolerance on out-of-roundness shall be agreed.
e
The tolerance on convexity and concavity is independent of the tolerance on outside dimensions.
f
The sides need not be tangential to the corner arcs.
g
The positive tolerance on the mass of seamless hollow sections is 8 %.
7
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table 3 — Tolerances on manufacturer's delivered length Dimensions in millimetres a
Range of length or length L
Tolerance
Random length
4 000 ≤ L ≤ 16 000 with a range of 2 000 per order item
10 % of sections supplied may be below the minimum for the ordered range but not shorter than 75 % of the minimum range length
Approximate length
4 000 ≤ L ≤ 16 000
± 500 mm
Exact length
2 000 ≤ L ≤ 6 000
+10
Type of length
b
mm
0 +15 mm 0
> 6 000 c a
The manufacturer shall establish at the time of enquiry and order the type of length required and the length range or length.
b
Option 2.1 the tolerance on approximate length is
c
Common lengths available are 6 m and 12 m.
+150 0
mm.
Table 4 — Tolerance on height of internal and external weld bead for submerged arc welded hollow sections Dimensions in millimetres Thickness,
7
Maximum weld bead height
T
≤ 14,2
3,5
> 14,2
4,8
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 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
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
7.3 Thickness The thickness (T ) of welded hollow sections shall be measured at a position not less than 2T from the weld. The limiting cross-sectional positions for measuring the thickness of square and rectangular hollow sections are shown in Figure 1. NOTE Thickness is normally measured within a distance of half the outside diameter or half the dimension of the longer side from the end of the s ection.
Dimensions in millimetres C 1
5
a
T
2
C
B a
5
B , H
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 equation: O(%) =
Dmax − Dmin D
× 100
7.5 Concavity and convexity The concavity ( x1) or the convexity ( x2) of the sides of a square or rectangular hollow section shall be measured as shown in Figure 2. The percentage concavity or convexity shall be calculated as follows: x1
x x x × 100%; 2 × 100%; 1 × 100%; 2 × 100% B B H H
where B and H are the dimensions of the sides containing the concavity x1 or the convexity x2.
9
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
H , B
A
B
x2
x1
2
C , C
2
C , C
1
1
x2
x1
A
B
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.
θ
Figure 3 — Squareness of sides of square or rectangular hollow sections
10
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
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 1 and C 2 in Figure 4) shall be measured.
R
2
c
c 1 A A
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.
v
Figure 5 — Twist of square or rectangular hollow sections
11
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
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 1 (see Figure 6) measured at each end of the hollow section.
1
1
V
2
Key 1
Spirit level
2
H for rectangular sections, B for square sections
Figure 6 — Measurement of twist of 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 1 (see Figure 7) measured at each end of the hollow section.
H
1
1
V
Key
1
Spirit level Figure 7 – Measurement of twist of elliptical hollow sections
12
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (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 L
× 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.
e
L
Figure 8 — Measurement of deviation from straightness
8
Dimensions and sectional properties
The nominal sectional properties of hollow sections within the scope of this part of EN 10210 and manufactured to the dimensional tolerances of this standard, required for the purposes of structural design, shall be calculated in accordance with Annex A. The sectional properties for a limited range of standard sizes of hot finished circular, square, rectangular and elliptical hollow sections are given in Table B.1 for circular sections, Table B.2 for square sections, Table B.3 for rectangular sections and Table B.4 for elliptical sections. These sectional properties were calculated from the formulae given in Annex A. NOTE Not all sizes and thicknesses shown in Tables B.1, B.2, B.3 and B.4 are available from all manufacturers and the user is recommended to check availability. Other sizes and thicknesses within the scope of this standard may be available.
13
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Annex A (normative) Formulae for the calculation of sectional properties
A.1 General Tables B.1, B.2, B.3 and B.4 of this standard give nominal sectional properties for a limited range of sizes of hot finished hollow sections. The nominal sectional properties of hollow sections supplied to the requirements of this standard shall be calculated using the formulae given below. NOTE The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation used for structural design in the structural Eurocodes. This is a change from previous axis designations.
A.2 Circular hollow sections The sectional properties for circular hollow sections in Table B.1 are calculated using the formulae given below. Specified outside diameter
( D)
(mm)
Specified thickness
(T )
(mm)
(d = D - 2T )
(mm)
Inside diameter
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 length
A =
Mass per unit length
(m /m)
π ( D 2 − d 2 )
(cm )
A = 3 s 10
Cross-sectional area
I =
π ( D 4 − d 4 )
(kg/m) 4
(cm )
64 × 10 4
Radius of gyration
i =
14
2
4 × 10 2
M = 0,785 × A
Second moment of area
2
π D
I A
(cm)
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Elastic section modulus
W el =
Plastic section modulus
W pl =
3
(cm )
2 I × 10 D
3
(cm )
D 3 − d 3 6 × 10 3
4
Torsional inertia constant (polar moment of inertia)
I t = 2 I
(cm )
Torsional modulus constant
C t = 2W el
(cm )
3
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 t he formulae given below. Specified side dimension of a square hollow section or shorter side of a rectangular hollow section
( B)
(mm)
Specified dimension of the longer side of a rectangular hollow section
( H )
(mm)
Specified thickness
(T )
(mm)
External corner radius (r o ) for calculation is:
(r o = 1,5T )
(mm)
Internal corner radius (r i) for calculation is:
(r i = 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
As =
Cross-sectional area
2
2 10 3
( H + B − 4r o + π r o ) 2
A =
(m /m)
2
2T ( B + H − 2T ) − (4 − π ) r o − r i
)
2
(cm )
10 2 M = 0,785 A
Mass per unit length
(kg/m)
Second moment of area Major axis I yy =
1 BH 3
10 4 12
−
( B − 2T )( H − 2T )3 12
− 4( I g + Ag hg ) + 4( I ξξ + Aξ hξ ) 2
4
(cm )
2
15
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Minor axis I zz =
1 HB 3
10 4 12
−
− 4( I g + Ag hg ) + 4( I ξξ + Aξ hξ )
( H − 2T )( B − 2T )3
2
12
4
(cm )
2
Radius of gyration Major axis
I yy
iyy =
(cm)
A
Minor axis i zz =
(cm)
I zz A
Elastic section modulus Major axis W el yy =
2 I yy
Minor axis W el zz =
H 2 I zz B
3
(cm ) ×10
3
(cm ) ×10
Plastic section modulus Major axis W pl yy =
Minor axis W pl zz =
Torsional inertia constant
Torsional modulus constant
Where
16
1 BH 2
10 3 4 1 HB 2
10 3 4
−
−
( B − 2T )( H − 2T )2 4
( H − 2T )( B − 2T )2 4
3
− 4( Ag hg ) + 4( Aξ hξ )
(cm )
− 4( Ag hg ) + 4( Aξ hξ )
(cm )
3
4
1 h I t = 4 T 3 + 2 KAh 3 10
(cm )
I t C t = 10 T + K /T
(cm )
π 2 Ag = 1 − r o 4
(mm )
π 2 Aξ = 1 − r i 4
(mm )
3
2
2
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Major axis
H 10 − 3π − r o 2 12 - 3π
(mm)
H − 2T 10 − 3π − r i 2 12 - 3π
(mm)
hg =
(For minor axis substitute B for H .) Major axis
hξ =
(For minor axis substitute B for H .) 4
1 π 4 1 r o I g = − − 3 16 3 12 3 π ( − )
(mm )
1 π 4 1 r i − I ξξ = − ( − ) 3 16 3 12 3 π
(mm )
h = 2[( B – T ) + ( H – T )] – 2 RC(4 - π)
(mm)
4
2
Ah = ( B – T ) ( H – T ) – R C(4 - π)
K =
(mm) 2
(mm )
2 Ah T h
(mm)
r + r R c = o i 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 it s 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.
17
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Superficial area
Cross sectional area
As =
A =
2
(m /m)
P 10 3
2
π [ HB − ( H − 2T )( B − 2T )]
(cm )
4 × 10 2 M = 0,785 A
Mass per unit length
(kg/m)
Second moment of area Major axis
[ BH
3
π − ( B − 2T )( H − 2T ) ] 3
64
I yy =
Minor axis
10
[ HB
3
4
(cm )
4
3
− ( H − 2T )( B − 2T )
I zz =
10
] π
4
(cm )
64
4
Radius of gyration Major axis
I yy
iyy =
(cm)
A
Minor axis
I zz
izz =
(cm)
A
Elastic section modulus Major axis
W elyy = Minor axis
W elzz =
20 I yy
3
(cm )
H 20 I zz
3
(cm )
B
Plastic section modulus Major axis
W plyy = Minor axis
W plzz =
18
H 2 B − ( H − 2T ) 2 ( B − 2T )
3
(cm )
6 × 10 3 B 2 H − ( B − 2T ) 2 ( H − 2T ) 6 × 10 3
3
(cm )
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Torsional inertia constant
2 1 4 Am T UT 3 I t = 4 + 3 10 U
Torsional modulus constant
where
4
(cm )
3
10 I t C t = 2 Am T + U
(cm )
π ( H − T )( B − T )
(mm )
Am =
2
4
2 H − B P = ( H + B ) 1 + 0,25 2 H B +
(mm)
2 − H B U = ( H + B − 2T )1+ 0,25 2 H B 2 T + −
(mm)
π
π
19
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (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) Specified outside diameter
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
Radius of gyration
Elastic section modulus
Plastic section modulus
Torsional inertia constant
D mm 21,3 21,3 21,3 26,9 26,9 26,9 33,7 33,7 33,7 42,4 42,4 42,4 48,3 48,3 48,3 48,3 60,3 60,3 60,3 60,3 76,1 76,1 76,1 76,1 88,9 88,9 88,9 88,9 101,6 101,6 101,6 101,6 101,6 101,6 114,3 114,3 114,3 114,3 114,3 114,3 139,7 139,7 139,7 139,7 139,7 139,7 168,3 168,3 168,3 168,3 168,3
T mm 2,3 2,6 3,2 2,3 2,6 3,2 2,6 3,2 4,0 2,6 3,2 4,0 2,6 3,2 4,0 5,0 2,6 3,2 4,0 5,0 2,6 3,2 4,0 5,0 3,2 4,0 5,0 6,3 3,2 4,0 5,0 6,3 8,0 10,0 3,2 4,0 5,0 6,3 8,0 10,0 4,0 5,0 6,3 8,0 10,0 12,5 4,0 5,0 6,3 8,0 10,0
A 2 cm 1,37 1,53 1,82 1,78 1,98 2,38 2,54 3,07 3,73 3,25 3,94 4,83 3,73 4,53 5,57 6,80 4,71 5,74 7,07 8,69 6,00 7,33 9,06 11,2 8,62 10,7 13,2 16,3 9,89 12,3 15,2 18,9 23,5 28,8 11,2 13,9 17,2 21,4 26,7 32,8 17,1 21,2 26,4 33,1 40,7 50,0 20,6 25,7 32,1 40,3 49,7
I 4 cm 0,629 0,681 0,768 1,36 1,48 1,70 3,09 3,60 4,19 6,46 7,62 8,99 9,8 11,6 13,8 16,2 19,7 23,5 28,2 33,5 40,6 48,8 59,1 70,9 79,2 96,3 116 140 120 146 177 215 260 305 172 211 257 313 379 450 393 481 589 720 862 1020 697 856 1053 1297 1564
i cm 0,677 0,668 0,650 0,874 0,864 0,846 1,10 1,08 1,06 1,41 1,39 1,36 1,62 1,60 1,57 1,54 2,04 2,02 2,00 1,96 2,60 2,58 2,55 2,52 3,03 3,00 2,97 2,93 3,48 3,45 3,42 3,38 3,32 3,26 3,93 3,90 3,87 3,82 3,77 3,70 4,80 4,77 4,72 4,66 4,60 4,52 5,81 5,78 5,73 5,67 5,61
W el 3 cm 0,590 0,639 0,722 1,01 1,10 1,27 1,84 2,14 2,49 3,05 3,59 4,24 4,05 4,80 5,70 6,69 6,52 7,78 9,34 11,1 10,7 12,8 15,5 18,6 17,8 21,7 26,2 31,5 23,6 28,8 34,9 42,3 51,1 60,1 30,2 36,9 45,0 54,7 66,4 78,7 56,2 68,8 84,3 103 123 146 83 102 125 154 186
W pl 3 cm 0,834 0,915 1,06 1,40 1,54 1,81 2,52 2,99 3,55 4,12 4,93 5,92 5,44 6,52 7,87 9,42 8,66 10,4 12,7 15,3 14,1 17,0 20,8 25,3 23,5 28,9 35,2 43,1 31,0 38,1 46,7 57,3 70,3 84,2 39,5 48,7 59,8 73,6 90,6 109 73,7 90,8 112 139 169 203 108 133 165 206 251
I t 4 cm 1,26 1,36 1,54 2,71 2,96 3,41 6,19 7,21 8,38 12,9 15,2 18,0 19,6 23,2 27,5 32,3 39,3 46,9 56,3 67,0 81,2 97,6 118 142 158 193 233 280 240 293 355 430 519 611 345 422 514 625 759 899 786 961 1177 1441 1724 2040 1394 1712 2107 2595 3128
20
M kg/m 1,08 1,20 1,43 1,40 1,56 1,87 1,99 2,41 2,93 2,55 3,09 3,79 2,93 3,56 4,37 5,34 3,70 4,51 5,55 6,82 4,71 5,75 7,11 8,77 6,76 8,38 10,3 12,8 7,77 9,63 11,9 14,8 18,5 22,6 8,77 10,9 13,5 16,8 21,0 25,7 13,4 16,6 20,7 26,0 32,0 39,2 16,2 20,1 25,2 31,6 39,0
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m M 1,18 0,067 928 1,28 0,067 834 1,44 0,067 700 2,02 0,085 717 2,20 0,085 642 2,53 0,085 535 3,67 0,106 501 4,28 0,106 415 4,97 0,106 341 6,10 0,133 392 7,19 0,133 323 8,48 0,133 264 8,10 0,152 341 9,59 0,152 281 11,4 0,152 229 13,4 0,152 187 13,0 0,189 270 15,6 0,189 222 18,7 0,189 180 22,2 0,189 147 21,3 0,239 212 25,6 0,239 174 31,0 0,239 141 37,3 0,239 114 35,6 0,279 148 43,3 0,279 119 52,4 0,279 96,7 63,1 0,279 77,9 47,2 0,319 128,8 57,6 0,319 103,9 69,9 0,319 84,0 84,7 0,319 67,5 102 0,319 54,2 120 0,319 44,3 60,4 0,359 114,1 73,9 0,359 91,9 89,9 0,359 74,2 109 0,359 59,6 133 0,359 47,7 157 0,359 38,9 112 0,439 74,7 138 0,439 60,2 169 0,439 48,2 206 0,439 38,5 247 0,439 31,3 292 0,439 25,5 166 0,529 61,7 203 0,529 49,7 250 0,529 39,7 308 0,529 31,6 372 0,529 25,6
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Specified outside diameter
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
D mm 168,3 177,8 177,8 177,8 177,8 177,8 193,7 193,7 193,7 193,7 193,7 193,7 193,7 219,1 219,1 219,1 219,1 219,1 219,1 219,1 219,1 244,5 244,5 244,5 244,5 244,5 244,5 244,5 244,5 244,5 273,0 273,0 273,0 273,0 273,0 273,0 273,0 273,0 273,0 323,9 323,9 323,9 323,9 323,9 323,9 323,9 323,9 323,9 355,6 355,6 355,6 355,6 355,6 355,6 355,6 355,6 406,4 406,4 406,4 406,4 406,4 406,4 406,4 406,4 406,4
T mm 12,5 5,0 6,3 8,0 10,0 12,5 5,0 6,3 8,0 10,0 12,5 14,2 16,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0
A 2 cm 61,2 27,1 33,9 42,7 52,7 64,9 29,6 37,1 46,7 57,7 71,2 80,1 89,3 33,6 42,1 53,1 65,7 81,1 91,4 102 125 37,6 47,1 59,4 73,7 91,1 102,7 115 141 172 42,1 52,8 66,6 82,6 102 115 129 159 195 50,1 62,9 79,4 98,6 122 138 155 191 235 69,1 87,4 109 135 152 171 211 260 79,2 100 125 155 175 196 243 300 355
I 4 cm 1868 1014 1250 1541 1862 2230 1320 1630 2016 2442 2934 3245 3554 1928 2386 2960 3598 4345 4820 5297 6261 2699 3346 4160 5073 6147 6837 7533 8957 10520 3781 4696 5852 7154 8697 9695 10710 12800 15130 6369 7929 9910 12160 14850 16600 18390 22140 26400 10550 13200 16220 19850 22230 24660 29790 35680 15850 19870 24480 30030 33690 37450 45430 54700 63220
M kg/m 48,0 21,3 26,6 33,5 41,4 51,0 23,3 29,1 36,6 45,3 55,9 62,9 70,1 26,4 33,1 41,6 51,6 63,7 71,8 80,1 98,2 29,5 37,0 46,7 57,8 71,5 80,6 90,2 110,7 135 33,0 41,4 52,3 64,9 80,3 90,6 101 125 153 39,3 49,3 62,3 77,4 96,0 108,5 121 150 184 54,3 68,6 85,2 106 120 134 166 204 62,2 78,6 97,8 121 137 154 191 235 278
Radius of gyration
i cm 5,53 6,11 6,07 6,01 5,94 5,86 6,67 6,63 6,57 6,50 6,42 6,37 6,31 7,57 7,53 7,47 7,40 7,32 7,26 7,20 7,07 8,47 8,42 8,37 8,30 8,21 8,16 8,10 7,97 7,81 9,48 9,43 9,37 9,31 9,22 9,16 9,10 8,97 8,81 11,3 11,2 11,2 11,1 11,0 11,0 10,9 10,8 10,6 12,4 12,3 12,2 12,1 12,1 12,0 11,9 11,7 14,1 14,1 14,0 13,9 13,9 13,8 13,7 13,5 13,3
Elastic section modulus
Plastic section modulus
Torsional inertia constant
W el 3 cm 222 114 141 173 209 251 136 168 208 252 303 335 367 176 218 270 328 397 440 483 572 221 274 340 415 503 559 616 733 860 277 344 429 524 637 710 784 938 1108 393 490 612 751 917 1025 1136 1367 1630 593 742 912 1117 1250 1387 1676 2007 780 978 1205 1478 1658 1843 2236 2692 3111
W pl 3 cm 304 149 185 231 282 342 178 221 276 338 411 458 507 229 285 357 438 534 597 661 795 287 358 448 550 673 754 837 1011 1210 359 448 562 692 849 952 1058 1283 1543 509 636 799 986 1213 1363 1518 1850 2239 769 967 1195 1472 1656 1847 2255 2738 1009 1270 1572 1940 2185 2440 2989 3642 4259
I t 4 cm 3737 2028 2499 3083 3724 4460 2640 3260 4031 4883 5869 6491 7109 3856 4772 5919 7197 8689 9640 10590 12520 5397 6692 8321 10150 12300 13670 15070 17910 21030 7562 9392 11700 14310 17400 19390 21410 25600 30250 12740 15860 19820 24320 29690 33200 36780 44280 52800 21090 26400 32450 39700 44460 49330 59580 71350 31700 39750 48950 60060 67370 74900 90860 109400 126500
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m M 444 0,529 20,8 228 0,559 46,9 281 0,559 37,5 347 0,559 29,9 419 0,559 24,2 502 0,559 19,6 273 0,609 43,0 337 0,609 34,3 416 0,609 27,3 504 0,609 22,1 606 0,609 17,9 670 0,609 15,9 734 0,609 14,3 352 0,688 37,9 436 0,688 30,2 540 0,688 24,0 657 0,688 19,4 793 0,688 15,7 880 0,688 13,9 967 0,688 12,5 1143 0,688 10,2 441 0,768 33,9 547 0,768 27,0 681 0,768 21,4 830 0,768 17,3 1006 0,768 14,0 1119 0,768 12,4 1232 0,768 11,1 1465 0,768 9,0 1721 0,768 7,39 554 0,858 30,3 688 0,858 24,1 857 0,858 19,1 1048 0,858 15,4 1274 0,858 12,5 1421 0,858 11,0 1569 0,858 9,9 1875 0,858 8,0 2216 0,858 6,5 787 1,02 25,4 979 1,02 20,3 1224 1,02 16,0 1501 1,02 12,9 1833 1,02 10,4 2050 1,02 9,2 2271 1,02 8,23 2734 1,02 6,67 3260 1,02 5,43 1186 1,12 18,4 1485 1,12 14,6 1825 1,12 11,7 2233 1,12 9,45 2500 1,12 8,36 2774 1,12 7,46 3351 1,12 6,04 4013 1,12 4,91 1560 1,28 16,1 1956 1,28 12,7 2409 1,28 10,2 2956 1,28 8,24 3315 1,28 7,28 3686 1,28 6,49 4472 1,28 5,25 5384 1,28 4,25 6223 1,28 3,59
21
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Specified outside diameter
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
D mm 406,4 457,0 457,0 457,0 457,0 457,0 457,0 457,0 457,0 457,0 457,0 508,0 508,0 508,0 508,0 508,0 508,0 508,0 508,0 508,0 508,0 508,0 610,0 610,0 610,0 610,0 610,0 610,0 610,0 610,0 610,0 610,0 610,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 711,0 762,0 762,0 762,0 762,0 762,0 762,0 762,0 762,0 762,0 762,0 762,0 813,0 813,0 813,0 813,0 813,0 813,0 813,0 813,0 914,0
T mm 40,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 40,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 40,0 50,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 40,0 50,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 40,0 50,0 60,0 6,3 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 40,0 50,0 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 8,0
A 2 cm 460 89,2 113 140 175 198 222 275 339 402 524 99,3 126 156 195 220 247 307 379 451 588 719 119 151 188 235 266 299 371 459 547 716 880 139 177 220 274 311 349 434 539 642 843 1038 1227 150 190 236 294 334 375 466 579 690 907 1118 202 252 314 356 401 498 619 738 228
I 4 cm 78190 22650 28450 35090 43150 48460 53960 65680 79420 92170 115000 31250 39280 48520 59760 67200 74910 91430 111000 129200 162200 190900 54440 68550 84850 104800 118000 131800 161500 196900 230500 292300 347600 86590 109200 135300 167300 188700 211000 259400 317400 372800 476200 570300 655600 106800 134700 167000 206700 233000 261000 321100 393500 462900 593000 712200 163900 203400 251900 284000 318200 391900 480900 566400 233700
22
M kg/m 361 70,0 88,6 110 137 155 174 216 266 316 411 77,9 98,6 123 153 173 194 241 298 354 462 565 93,8 119 148 184 209 234 291 361 429 562 691 109 139 173 215 244 274 341 423 504 662 815 963 117 149 185 231 262 294 366 454 542 712 878 159 198 247 280 314 391 486 579 179
Radius of gyration
i cm 13,0 15,9 15,9 15,8 15,7 15,7 15,6 15,5 15,3 15,1 14,8 17,7 17,7 17,6 17,5 17,5 17,4 17,3 17,1 16,9 16,6 16,3 21,3 21,3 21,2 21,1 21,1 21,0 20,9 20,7 20,5 20,2 19,9 24,9 24,9 24,8 24,7 24,6 24,6 24,4 24,3 24,1 23,8 23,4 23,1 26,7 26,7 26,6 26,5 26,4 26,4 26,2 26,1 25,9 25,6 25,2 28,5 28,4 28,3 28,2 28,2 28,0 27,9 27,7 32,0
Elastic section modulus
Plastic section modulus
W el 3 cm 3848 991 1245 1536 1888 2121 2361 2874 3475 4034 5031 1230 1546 1910 2353 2646 2949 3600 4367 5086 6385 7515 1785 2248 2782 3435 3869 4321 5295 6456 7557 9585 11400 2436 3071 3806 4707 5309 5936 7295 8927 10490 13400 16040 18440 2803 3535 4384 5426 6120 6850 8427 10330 12150 15570 18690 4032 5003 6196 6990 7828 9641 11830 13930 5113
W pl 3 cm 5391 1280 1613 1998 2470 2785 3113 3822 4671 5479 6977 1586 2000 2480 3070 3463 3874 4766 5837 6864 8782 10530 2296 2899 3600 4463 5042 5647 6965 8561 10100 13020 15720 3129 3954 4914 6099 6895 7730 9552 11770 13920 18030 21890 25500 3598 4548 5655 7023 7940 8906 11010 13580 16080 20870 25390 5184 6448 8011 9060 10170 12580 15530 18400 6567
Torsional inertia constant I t 4 cm 156000 45310 56900 70180 86290 96930 107900 131400 158800 184300 229900 62490 78560 97040 119500 134400 149800 182900 221800 258400 324400 381800 108900 137100 169700 209600 236000 263600 323000 393800 461000 585000 695000 173000 218000 270600 334700 377500 422100 518700 634700 745600 952500 1141000 1311000 213600 269400 334100 413500 467000 522000 642200 786900 925700 1186000 1424000 327800 406800 503700 569000 636400 783800 961700 1132800 467300
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m M 7696 1,28 2,77 1983 1,44 14,3 2490 1,44 11,3 3071 1,44 9,07 3776 1,44 7,30 4242 1,44 6,45 4723 1,44 5,75 5749 1,44 4,64 6951 1,44 3,75 8068 1,44 3,17 10060 1,44 2,43 2460 1,60 12,8 3093 1,60 10,1 3820 1,60 8,14 4705 1,60 6,55 5291 1,60 5,78 5898 1,60 5,15 7199 1,60 4,15 8734 1,60 3,36 10170 1,60 2,83 12770 1,60 2,17 15030 1,60 1,77 3570 1,9 10,7 4495 1,9 8,42 5564 1,9 6,76 6869 1,9 5,43 7738 1,9 4,79 8641 1,9 4,27 10590 1,9 3,44 12910 1,9 2,77 15110 1,9 2,33 19170 1,9 1,78 22790 1,9 1,45 4871 2,23 9,13 6141 2,23 7,21 7612 2,23 5,78 9415 2,23 4,64 10620 2,23 4,10 11870 2,23 3,65 14590 2,23 2,93 17850 2,23 2,36 20970 2,23 1,98 26790 2,23 1,51 32090 2,23 1,23 36890 2,23 1,04 5605 2,39 8,52 7070 2,39 6,72 8768 2,39 5,39 10850 2,39 4,33 12300 2,39 3,82 13700 2,39 3,40 16860 2,39 2,73 20650 2,39 2,20 24300 2,39 1,85 31130 2,39 1,40 37390 2,39 1,14 8064 2,55 6,30 10010 2,55 5,05 12390 2,55 4,05 14000 2,55 3,57 15660 2,55 3,18 19280 2,55 2,56 23660 2,55 2,06 27870 2,55 1,73 10230 2,87 5,59
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Specified outside diameter
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
D mm 914,0 914,0 914,0 914,0 914,0 914,0 914,0 1016,0 1016,0 1016,0 1016,0 1016,0 1016,0 1016,0 1016,0 1067,0 1067,0 1067,0 1067,0 1067,0 1067,0 1067,0 1168,0 1168,0
T mm 10,0 12,5 14,2 16,0 20,0 25,0 30,0 8,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 10,0 12,5 14,2 16,0 20,0 25,0 30,0 10,0
M kg/m 223 278 315 354 441 548 654 199 248 309 351 395 491 611 729 261 325 369 415 516 642 767 286
A 2 cm 284 354 401 451 562 698 833 253 316 394 447 503 626 778 929 332 414 470 528 658 818 977 364
I 4 cm 290500 359700 406000 455100 561500 690320 814800 321800 399900 496100 561000 628480 776300 956100 1130000 463800 575670 651000 729610 901800 1111000 1315000 609800
12,5
356
454
14,2 16,0 20,0 25,0 10,0
404 455 566 705 298
12,5 14,2 16,0 20,0 25,0
1168,0 1168,0 1168,0 1168,0 1219,0 1219,0 1219,0 1219,0 1219,0 1219,0
Radius of gyration
Torsional inertia constant
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m M 12700 2,87 4,49 15740 2,87 3,60 17800 2,87 3,17 19920 2,87 2,82 24570 2,87 2,27 30210 2,87 1,82 35660 2,87 1,53 12670 3,19 5,03 15740 3,19 4,03 19530 3,19 3,23 22100 3,19 2,85 24740 3,19 2,53 30560 3,19 2,04 37640 3,19 1,64 44500 3,19 1,37 17390 3,35 3,84 21580 3,35 3,08 24400 3,35 2,71 27350 3,35 2,41 33810 3,35 1,94 41660 3,35 1,56 49290 3,35 1,30 20890 3,67 3,50
Elastic section modulus
Plastic section modulus
i cm 32,0 31,9 31,8 31,8 31,6 31,4 31,3 35,6 35,6 35,5 35,4 35,4 35,2 35,0 34,9 37,4 37,3 37,2 37,2 37,0 36,9 36,7 40,9
W el 3 cm 6349 7871 8890 9959 12290 15100 17830 6334 7871 9766 11000 12370 15280 18820 22250 8693 10790 12200 13680 16900 20830 24650 10440
W pl 3 cm 8172 10160 11500 12900 15990 19760 23450 8129 10120 12590 14300 16000 19840 24560 29180 11170 13900 15700 17680 21930 27150 32270 13410
I t 4 cm 580300 719400 813000 910300 1123000 1381000 1630000 643600 799700 992250 1120000 1257000 1553000 1912000 2261000 927500 1151000 1300000 1459000 1804000 2223000 2630000 1220000
757400
40,9
12970
16690
1515000
25940
3,67
2,81
515 579 721 898 380
856700 960800 1189000 1467000 694000
40,8 40,7 40,6 40,4 42,7
14670 16450 20350 25120 11390
18910 21240 26360 32670 14620
1713000 1922000 2377000 2933000 1388000
29340 32900 40710 50230 22770
3,67 3,67 3,67 3,67 3,83
2,47 2,20 1,77 1,42 3,35
372
474
862200
42,7
14150
18200
1724000
28290
3,83
2,69
422 475 591 736
537 605 753 938
975300 1094000 1354000 1672000
42,6 42,5 42,4 42,2
16000 17950 22220 27430
20610 23160 28760 35650
1951000 2188000 2708000 3344000
32000 35900 44440 54860
3,83 3,83 3,83 3,83
2,37 2,11 1,69 1,36
D
Z
Y
Y
T Z
Figure B.1 — Circular hollow section
23
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table B.2 — Dimensions and sectional properties of a limited range of square hollow sections (see Figure B.2) Specified side dimension B mm
40 40 40 40 50 50 50 50 50 60 60 60 60 60 60 70 70 70 70 70 80 80 80 80 80 90 90 90 90 100 100 100 100 100 120 120 120 120 120 140 140 140 140 140 150 150 150 150 150 150 150 160 160 160 160 160 160 160 180 180 180 180
24
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
Radius of gyration
Elastic section modulus
Plastic section modulus
Torsional inertia constant
T mm 2,6 3,2 4,0 5,0 2,6 3,2 4,0 5,0 6,3 2,6 3,2 4,0 5,0 6,3 8,0 3,2 4,0 5,0 6,3 8,0 3,2 4,0 5,0 6,3 8,0 4,0 5,0 6,3 8,0 4,0 5,0 6,3 8,0 10,0 5,0 6,3 8,0 10,0 12,5 5,0 6,3 8,0 10,0 12,5 5,0 6,3 8,0 10,0 12,5 14,2 16,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 5,0 6,3 8,0 10,0
A 2 cm 3,82 4,60 5,59 6,73 4,86 5,88 7,19 8,73 10,6 5,90 7,16 8,79 10,7 13,1 16,0 8,4 10,4 12,7 15,6 19,2 9,72 12,0 14,7 18,1 22,4 13,6 16,7 20,7 25,6 15,2 18,7 23,2 28,8 34,9 22,7 28,2 35,2 42,9 52,1 26,7 33,3 41,6 50,9 62,1 28,7 35,8 44,8 54,9 67,1 75,0 83,0 30,7 38,3 48,0 58,9 72,1 80,7 89,4 34,7 43,3 54,4 66,9
I 4 cm 8,80 10,2 11,8 13,4 18,0 21,2 25,0 28,9 32,8 32,2 38,2 45,4 53,3 61,6 69,7 62,3 74,7 88,5 104 120 95 114 137 162 189 166 200 238 281 232 279 336 400 462 498 603 726 852 982 807 984 1195 1416 1653 1002 1223 1491 1773 2080 2262 2430 1225 1499 1831 2186 2576 2809 3028 1765 2168 2661 3193
i cm 1,52 1,49 1,45 1,41 1,93 1,90 1,86 1,82 1,76 2,34 2,31 2,27 2,23 2,17 2,09 2,72 2,68 2,64 2,58 2,50 3,13 3,09 3,05 2,99 2,91 3,50 3,45 3,40 3,32 3,91 3,86 3,80 3,73 3,64 4,68 4,62 4,55 4,46 4,34 5,50 5,44 5,36 5,27 5,16 5,90 5,85 5,77 5,68 5,57 5,49 5,41 6,31 6,26 6,18 6,09 5,98 5,90 5,82 7,13 7,07 7,00 6,91
W el 3 cm 4,40 5,11 5,91 6,68 7,21 8,49 9,99 11,6 13,1 10,7 12,7 15,1 17,8 20,5 23,2 17,8 21,3 25,3 29,7 34,2 23,7 28,6 34,2 40,5 47,3 37,0 44,4 53,0 62,6 46,4 55,9 67,1 79,9 92,4 83,0 100 121 142 164 115 141 171 202 236 134 163 199 236 277 302 324 153 187 229 273 322 351 379 196 241 296 355
W pl 3 cm 5,31 6,28 7,44 8,66 8,58 10,2 12,3 14,5 17,0 12,6 15,2 18,3 21,9 26,0 30,4 21,0 25,5 30,8 36,9 43,8 27,9 34,0 41,1 49,7 59,5 43,6 53,0 64,3 77,6 54,4 66,4 80,9 98,2 116 97,6 120 146 175 207 135 166 204 246 293 156 192 237 286 342 377 411 178 220 272 329 395 436 476 227 281 349 424
I t 4 cm 14,0 16,5 19,5 22,5 28,4 33,8 40,4 47,6 55,2 50,2 60,2 72,5 86,4 102 118 97,6 118 142 169 200 148 180 217 262 312 260 316 382 459 361 439 534 646 761 777 950 1160 1382 1623 1253 1540 1892 2272 2696 1550 1909 2351 2832 3375 3707 4026 1892 2333 2880 3478 4158 4579 4988 2718 3361 4162 5048
M kg/m 3,00 3,61 4,39 5,28 3,81 4,62 5,64 6,85 8,31 4,63 5,62 6,90 8,42 10,3 12,5 6,63 8,15 9,99 12,3 15,0 7,63 9,41 11,6 14,2 17,5 10,7 13,1 16,2 20,1 11,9 14,7 18,2 22,6 27,4 17,8 22,2 27,6 33,7 40,9 21,0 26,1 32,6 40,0 48,7 22,6 28,1 35,1 43,1 52,7 58,9 65,2 24,1 30,1 37,6 46,3 56,6 63,3 70,2 27,3 34,0 42,7 52,5
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m m 6,41 0,153 334 7,42 0,152 277 8,54 0,150 228 9,60 0,147 189 10,6 0,193 262 12,4 0,192 217 14,5 0,190 177 16,7 0,187 146 18,8 0,184 120 15,7 0,233 216 18,6 0,232 178 22,0 0,230 145 25,7 0,227 119 29,6 0,224 97,2 33,4 0,219 79,9 26,1 0,272 151 31,2 0,270 123 36,8 0,267 100 42,9 0,264 81,5 49,2 0,259 66,5 34,9 0,312 131 41,9 0,310 106 49,8 0,307 86,5 58,7 0,304 70,2 68,3 0,299 57,0 54,2 0,350 93,7 64,8 0,347 76,1 77,0 0,344 61,6 90,5 0,339 49,9 68,2 0,390 83,9 81,8 0,387 68,0 97,8 0,384 54,9 116 0,379 44,3 133 0,374 36,5 122 0,467 56,0 147 0,464 45,1 176 0,459 36,2 206 0,454 29,7 236 0,448 24,5 170 0,547 47,7 206 0,544 38,3 249 0,539 30,7 294 0,534 25,0 342 0,528 20,5 197 0,587 44,3 240 0,584 35,6 291 0,579 28,5 344 0,574 23,2 402 0,568 19,0 436 0,563 17,0 467 0,559 15,3 226 0,627 41,5 275 0,624 33,3 335 0,619 26,6 398 0,614 21,6 467 0,608 17,7 508 0,603 15,8 546 0,599 14,2 290 0,707 36,7 355 0,704 29,4 434 0,699 23,4 518 0,694 19,0
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Specified side dimension B mm
180 180 180 200 200 200 200 200 200 200 220 220 220 220 220 220 250 250 250 250 250 250 260 260 260 260 260 260 300 300 300 300 300 300 350 350 350 350 350 400 400 400 400 400
Specified Mass per thickness unit length
Crosssectional area
Second moment of area
T mm 12,5 14,2 16,0 5,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 8,0 10,0 12,5 14,2 16,0 10,0 12,5 14,2 16,0 20,0
A 2 cm 82,1 92,0 102 38,7 48,4 60,8 74,9 92,1 103 115 53,4 67,2 82,9 102 115 128 61,0 76,8 94,9 117 132 147 63,5 80,0 98,9 122 137 153 74 93 115 142 160 179 109 135 167 189 211 155 192 217 243 300
I 4 cm 3790 4154 4504 2445 3011 3709 4471 5336 5872 6394 4049 5002 6050 7254 8007 8749 6014 7455 9055 10920 12090 13270 6788 8423 10240 12370 13710 15060 10550 13130 16030 19440 21640 23850 21130 25880 31540 35210 38940 39130 47840 53530 59340 71540
M kg/m 64,4 72,2 80,2 30,4 38,0 47,7 58,8 72,3 81,1 90,3 41,9 52,7 65,1 80,1 90,1 100 47,9 60,3 74,5 91,9 103 115 49,9 62,8 77,7 95,8 108 120 57,8 72,8 90,2 112 126 141 85,4 106 131 148 166 122 151 170 191 235
Radius of gyration
i cm 6,80 6,72 6,64 7,95 7,89 7,81 7,72 7,61 7,54 7,46 8,71 8,63 8,54 8,43 8,35 8,27 9,93 9,86 9,77 9,66 9,58 9,50 10,3 10,3 10,2 10,1 10,0 9,9 12,0 11,9 11,8 11,7 11,6 11,5 13,9 13,9 13,7 13,7 13,6 15,9 15,8 15,7 15,6 15,4
Elastic section modulus
Plastic section modulus
W el 3 cm 421 462 500 245 301 371 447 534 587 639 368 455 550 659 728 795 481 596 724 873 967 1061 522 648 788 951 1055 1159 703 875 1068 1296 1442 1590 1207 1479 1802 2012 2225 1956 2392 2676 2967 3577
W pl 3 cm 511 566 621 283 350 436 531 643 714 785 427 532 650 789 879 969 556 694 851 1037 1158 1280 603 753 924 1127 1259 1394 809 1013 1246 1525 1708 1895 1392 1715 2107 2364 2630 2260 2782 3127 3484 4247
Torsional inertia constant I t 4 cm 6070 6711 7343 3756 4653 5778 7031 8491 9417 10340 6240 7765 9473 11480 12770 14050 9238 11530 14110 17160 19140 21140 10420 13010 15930 19410 21660 23940 16140 20190 24810 30330 33940 37620 32380 39890 48930 54880 60990 60090 73910 83030 92440 112500
Nominal Torsional Supermodulus ficial area length per constant per metre tonne length C t As 3 2 cm m /m m 613 0,688 15,5 670 0,683 13,8 724 0,679 12,5 362 0,787 32,9 444 0,784 26,3 545 0,779 21,0 655 0,774 17,0 778 0,768 13,8 854 0,763 12,3 927 0,759 11,1 544 0,864 23,8 669 0,859 19,0 807 0,854 15,4 963 0,848 12,5 1060 0,843 11,1 1156 0,839 10,0 712 0,984 20,9 880 0,979 16,6 1065 0,974 13,4 1279 0,968 10,9 1413 0,963 9,67 1546 0,959 8,67 773 1,02 20,1 956 1,02 15,9 1159 1,01 12,9 1394 1,01 10,4 1542 1,00 9,27 1689 1,00 8,30 1043 1,18 17,3 1294 1,18 13,7 1575 1,17 11,1 1904 1,17 8,97 2114 1,16 7,95 2325 1,16 7,12 1789 1,38 11,7 2185 1,37 9,44 2654 1,37 7,62 2957 1,36 6,76 3264 1,36 6,04 2895 1,57 8,22 3530 1,57 6,63 3942 1,56 5,87 4362 1,56 5,24 5237 1,55 4,25
25
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
B
Z
B
Y
Y
T
Z
Figure B.2 — Square hollow section
26
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table B.3 — Dimensions and sectional properties of a limited range of rectangular hollow sections (see Figure B.3) Specified side dimensions
H × B
mm 50 50 50 50 60 60 60 60 60 80 80 80 80 80 90 90 90 90 90 100 100 100 100 100 100 100 100 100 100 120 120 120 120 120 120 120 120 120 120 140 140 140 140 140 150 150 150 150 150 150 160 160 160 160 160 160 180 180 180
mm 30 30 30 30 40 40 40 40 40 40 40 40 40 40 50 50 50 50 50 50 50 50 50 50 60 60 60 60 60 60 60 60 60 60 80 80 80 80 80 80 80 80 80 80 100 100 100 100 100 100 80 80 80 80 80 80 100 100 100
Specified thickness
T
mm 2,6 3,2 4,0 5,0 2,6 3,2 4,0 5,0 6,3 3,2 4,0 5,0 6,3 8,0 3,2 4,0 5,0 6,3 8,0 3,2 4,0 5,0 6,3 8,0 3,2 4,0 5,0 6,3 8,0 4,0 5,0 6,3 8,0 10,0 4,0 5,0 6,3 8,0 10,0 4,0 5,0 6,3 8,0 10,0 4,0 5,0 6,3 8,0 10,0 12,5 4,0 5,0 6,3 8,0 10,0 12,5 4,0 5,0 6,3
Mass per unit lengt h
Cross -sectional area
M
A
kg/m 3,00 3,61 4,39 5,28 3,81 4,62 5,64 6,85 8,31 5,62 6,90 8,42 10,3 12,5 6,63 8,15 9,99 12,3 15,0 7,13 8,78 10,8 13,3 16,3 7,63 9,41 11,6 14,2 17,5 10,7 13,1 16,2 20,1 24,3 11,9 14,7 18,2 22,6 27,4 13,2 16,3 20,2 25,1 30,6 15,1 18,6 23,1 28,9 35,3 42,8 14,4 17,8 22,2 27,6 33,7 40,9 16,9 21,0 26,1
Second moment of area
I yy 2
cm 3,82 4,60 5,59 6,73 4,86 5,88 7,19 8,73 10,6 7,16 8,79 10,7 13,1 16,0 8,44 10,4 12,7 15,6 19,2 9,08 11,2 13,7 16,9 20,8 9,72 12,0 14,7 18,1 22,4 13,6 16,7 20,7 25,6 30,9 15,2 18,7 23,2 28,8 34,9 16,8 20,7 25,7 32,0 38,9 19,2 23,7 29,5 36,8 44,9 54,6 18,4 22,7 28,2 35,2 42,9 52,1 21,6 26,7 33,3
4
cm 12,2 14,2 16,5 18,7 23,6 27,8 32,8 38,1 43,4 57,2 68,2 80,3 93,3 106 89,1 107 127 150 174 116 140 167 197 230 131 158 189 225 264 249 299 358 425 488 303 365 440 525 609 441 534 646 776 908 607 739 898 1087 1282 1488 612 744 903 1091 1284 1485 945 1153 1407
I zz 4
cm 5,38 6,20 7,08 7,89 12,4 14,6 17,0 19,5 21,9 18,9 22,2 25,7 29,2 32,1 35,3 41,9 49,2 57,0 64,6 38,8 46,2 54,3 63,0 71,7 58,8 70,5 83,6 98,1 113 83,1 98,8 116 135 152 161 193 230 273 313 184 221 265 314 362 324 392 474 569 665 763 207 249 299 356 411 465 379 460 557
Radius of gyration
i yy
cm 1,79 1,76 1,72 1,67 2,20 2,18 2,14 2,09 2,02 2,83 2,79 2,74 2,67 2,58 3,25 3,21 3,16 3,10 3,01 3,57 3,53 3,48 3,42 3,33 3,67 3,63 3,58 3,52 3,44 4,28 4,23 4,16 4,08 3,97 4,46 4,42 4,36 4,27 4,18 5,12 5,08 5,01 4,93 4,83 5,63 5,58 5,52 5,44 5,34 5,22 5,77 5,72 5,66 5,57 5,47 5,34 6,61 6,57 6,50
i zz
Cm 1,19 1,16 1,13 1,08 1,60 1,57 1,54 1,50 1,44 1,63 1,59 1,55 1,49 1,42 2,04 2,01 1,97 1,91 1,84 2,07 2,03 1,99 1,93 1,86 2,46 2,43 2,38 2,33 2,25 2,47 2,43 2,37 2,30 2,21 3,25 3,21 3,15 3,08 2,99 3,31 3,27 3,21 3,14 3,05 4,11 4,07 4,01 3,94 3,85 3,74 3,35 3,31 3,26 3,18 3,10 2,99 4,19 4,15 4,09
Elastic section modulus
Plastic section modulus
W el xx
W pl yy
3
cm 4,87 5,68 6,60 7,49 7,86 9,27 10,9 12,7 14,5 14,3 17,1 20,1 23,3 26,5 19,8 23,8 28,3 33,3 38,6 23,2 27,9 33,3 39,4 46,0 26,2 31,6 37,8 45,0 52,8 41,5 49,9 59,7 70,8 81,4 50,4 60,9 73,3 87,5 102 62,9 76,3 92,3 111 130 81,0 98,5 120 145 171 198 76,5 93,0 113 136 161 186 105 128 156
W el yy 3
cm 3,58 4,13 4,72 5,26 6,22 7,29 8,52 9,77 11,0 9,5 11,1 12,9 14,6 16,1 14,1 16,8 19,7 22,8 25,8 15,5 18,5 21,7 25,2 28,7 19,6 23,5 27,9 32,7 37,8 27,7 32,9 38,8 45,0 50,5 40,2 48,2 57,6 68,1 78,1 46,0 55,3 66,2 78,5 90,5 64,8 78,5 94,8 113,9 133,1 152,6 51,7 62,3 74,8 89,0 103 116 75,9 92,0 111
3
cm 6,12 7,25 8,59 10,0 9,65 11,5 13,8 16,4 19,2 18,0 21,8 26,1 31,1 36,5 24,6 29,8 36,0 43,2 51,4 28,9 35,2 42,6 51,3 61,4 32,0 39,1 47,4 57,3 68,7 51,9 63,1 76,7 92,7 109 61,2 74,6 91,0 111 131 77,1 94,3 115 141 168 97,4 119 147 180 216 256 94,7 116 142 175 209 247 128 157 194
W pl zz 3
cm 4,25 5,00 5,88 6,80 7,26 8,64 10,3 12,2 14,2 11,0 13,2 15,7 18,4 21,2 16,2 19,6 23,5 28,0 32,9 17,7 21,5 25,8 30,8 36,3 22,4 27,3 32,9 39,5 47,1 31,7 38,4 46,3 55,4 64,4 46,1 56,1 68,2 82,6 97,3 52,2 63,6 77,5 94,1 111 73,6 90,1 110 135 161 190 58,3 71,1 86,8 106 125 146 85,2 104 128
Torsional inertia consta nt
Torsional modulu s consta nt
Superficial area per metre length
I t
C t
As
4
cm 12,1 14,2 16,6 19,0 25,9 30,8 36,7 43,0 49,5 46,2 55,2 65,1 75,6 85,8 80,9 97,5 116 138 160 93,4 113 135 160 186 129 156 188 224 265 201 242 290 344 396 330 401 487 587 688 411 499 607 733 862 660 807 986 1203 1432 1679 493 600 730 883 1041 1204 852 1042 1277
3
cm 5,90 6,80 7,77 8,67 10,04 11,74 13,71 15,71 17,64 16,08 18,90 21,85 24,84 27,45 23,58 28,02 32,86 38,06 43,21 26,38 31,40 36,91 42,89 48,89 32,36 38,74 45,86 53,81 62,17 47,10 55,95 65,94 76,64 86,13 64,98 77,88 92,87 110 126 77 92 110 130 150 105 127 153 183 214 246 88 106 127 151 175 198 127 154 186
2
m /m 0,15 0,15 0,15 0,15 0,19 0,19 0,19 0,19 0,18 0,23 0,23 0,23 0,22 0,22 0,27 0,27 0,27 0,26 0,26 0,29 0,29 0,29 0,28 0,28 0,31 0,31 0,31 0,30 0,30 0,35 0,35 0,34 0,34 0,33 0,39 0,39 0,38 0,38 0,37 0,43 0,43 0,42 0,42 0,41 0,49 0,49 0,48 0,48 0,47 0,47 0,47 0,47 0,46 0,46 0,45 0,45 0,55 0,55 0,54
Nominal lengt h per tonne
m 334 277 228 189 262 217 177 146 120 178 145 119 97,2 79,9 151 123 100 81,5 66,5 140 114 92,8 75,4 61,4 131 106 86,5 70,2 57,0 93,7 76,1 61,6 49,9 41,2 83,9 68,0 54,9 44,3 36,5 75,9 61,4 49,6 39,9 32,7 66,4 53,7 43,2 34,7 28,4 23,3 69,3 56,0 45,1 36,2 29,7 24,5 59,0 47,7 38,3
27
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Specified side dimensions
H × B
mm 180 180 180 200 200 200 200 200 200 200 200 200 200 200 250 250 250 250 250 250 260 260 260 260 260 260 300 300 300 300 300 300 350 350 350 350 350 350 400 400 400 400 400 450 450 450 450 450 500 500 500 500 500
28
mm 100 100 100 100 100 100 100 100 100 100 120 120 120 120 150 150 150 150 150 150 180 180 180 180 180 180 200 200 200 200 200 200 250 250 250 250 250 250 200 200 200 200 200 250 250 250 250 250 300 300 300 300 300
Specified thickness
T
mm 8,0 10,0 12,5 4,0 5,0 6,3 8,0 10,0 12,5 16,0 6,3 8,0 10,0 12,5 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 6,3 8,0 10,0 12,5 14,2 16,0 8,0 10,0 12,5 14,2 16,0 8,0 10,0 12,5 14,2 16,0 10,0 12,5 14,2 16,0 20,0
Mass per unit lengt h
Cross -sectional area
M
A
kg/m 32,6 40,0 48,7 18,2 22,6 28,1 35,1 43,1 52,7 65,2 30,1 37,6 46,3 56,6 38,0 47,7 58,8 72,3 81,1 90,3 41,9 52,7 65,1 80,1 90,1 100 47,9 60,3 74,5 91,9 103 115 57,8 72,8 90,2 112 126 141 72,8 90,2 112 126 141 85,4 106 131 148 166 122 151 170 191 235
Second moment of area
I yy 2
cm 41,6 50,9 62,1 23,2 28,7 35,8 44,8 54,9 67,1 83,0 38,3 48,0 58,9 72,1 48,4 60,8 74,9 92,1 103 115 53,4 67,2 82,9 102 115 128 61,0 76,8 94,9 117 132 147 73,6 92,8 115 142 160 179 92,8 115 142 160 179 109 135 167 189 211 155 192 217 243 300
4
cm 1713 2036 2385 1223 1495 1829 2234 2664 3136 3678 2065 2529 3026 3576 4143 5111 6174 7387 8141 8879 5166 6390 7741 9299 10280 11250 7829 9717 11820 14270 15830 17390 13200 16450 20100 24420 27200 30010 19560 23910 29060 32380 35740 30080 36900 45030 50320 55710 53760 65810 73700 81780 98780
I zz 4
cm 671 787 908 416 505 613 739 869 1004 1147 929 1128 1337 1562 1874 2298 2755 3265 3576 3873 2929 3608 4351 5196 5719 6231 4193 5184 6278 7537 8328 9109 7885 9798 11940 14440 16050 17650 6660 8084 9738 10780 11820 12140 14820 17970 20000 22040 24440 29780 33250 36770 44080
Radius of gyration
i yy
cm 6,42 6,32 6,20 7,26 7,21 7,15 7,06 6,96 6,84 6,66 7,34 7,26 7,17 7,04 9,25 9,17 9,08 8,96 8,87 8,79 9,83 9,75 9,66 9,54 9,46 9,38 11,3 11,3 11,2 11,0 11,0 10,9 13,4 13,3 13,2 13,1 13,0 12,9 14,5 14,4 14,3 14,2 14,1 16,6 16,5 16,4 16,3 16,2 18,6 18,5 18,4 18,3 18,2
i zz
Cm 4,02 3,93 3,82 4,24 4,19 4,14 4,06 3,98 3,87 3,72 4,92 4,85 4,76 4,66 6,22 6,15 6,06 5,96 5,88 5,80 7,40 7,33 7,24 7,13 7,06 6,98 8,29 8,22 8,13 8,02 7,95 7,87 10,4 10,3 10,2 10,1 10,0 9,93 8,47 8,39 8,28 8,21 8,13 10,6 10,5 10,4 10,3 10,2 12,6 12,5 12,4 12,3 12,1
Elastic section modulus
Plastic section modulus
W el xx
W pl yy
3
cm 190 226 265 122 149 183 223 266 314 368 207 253 303 358 331 409 494 591 651 710 397 492 595 715 791 865 522 648 788 952 1055 1159 754 940 1149 1395 1554 1715 978 1196 1453 1619 1787 1337 1640 2001 2236 2476 2150 2633 2948 3271 3951
W el yy 3
cm 134 157 182 83 101 123 148 174 201 229 155 188 223 260 250 306 367 435 477 516 325 401 483 577 635 692 419 518 628 754 833 911 631 784 955 1156 1284 1412 666 808 974 1078 1182 971 1185 1438 1600 1763 1629 1985 2216 2451 2939
3
cm 239 288 344 150 185 228 282 341 408 491 253 313 379 455 402 501 611 740 823 906 475 592 724 879 980 1081 624 779 956 1165 1302 1441 892 1118 1375 1685 1887 2095 1203 1480 1813 2032 2256 1622 2000 2458 2759 3070 2595 3196 3593 4005 4885
W pl zz 3
cm 157 188 223 93 114 140 172 206 245 290 177 218 263 314 283 350 426 514 570 625 369 459 560 679 755 831 472 589 721 877 978 1080 709 888 1091 1334 1492 1655 743 911 1111 1242 1374 1081 1331 1631 1827 2029 1826 2244 2519 2804 3408
Torsional inertia consta nt
Torsional modulu s consta nt
Superficial area per metre length
I t
C t
As
4
cm 1560 1862 2191 983 1204 1475 1804 2156 2541 2982 2028 2495 3001 3569 4054 5021 6090 7326 8102 8868 5810 7221 8798 10640 11820 12990 8476 10560 12910 15680 17460 19250 15220 19030 23350 28530 31890 35330 15740 19260 23440 26140 28870 27080 33280 40720 45580 50550 52450 64390 72240 80330 97450
3
cm 224 263 303 142 172 208 251 295 341 391 255 310 367 428 413 506 605 717 784 849 524 644 775 924 1016 1106 681 840 1015 1217 1343 1468 1011 1254 1525 1842 2044 2246 1135 1376 1656 1834 2010 1629 1986 2406 2675 2947 2696 3281 3660 4044 4842
2
m /m 0,54 0,53 0,53 0,59 0,59 0,58 0,58 0,57 0,57 0,56 0,62 0,62 0,61 0,61 0,78 0,78 0,77 0,77 0,76 0,76 0,86 0,86 0,85 0,85 0,84 0,84 0,98 0,98 0,97 0,97 0,96 0,96 1,18 1,18 1,17 1,17 1,16 1,16 1,18 1,17 1,17 1,16 1,16 1,38 1,37 1,37 1,36 1,36 1,57 1,57 1,56 1,56 1,55
Nominal lengt h per tonne
m 30,7 25,0 20,5 54,9 44,3 35,6 28,5 23,2 19,0 15,3 33,3 26,6 21,6 17,7 26,3 21,0 17,0 13,8 12,3 11,1 23,8 19,0 15,4 12,5 11,1 9,97 20,9 16,6 13,4 10,9 9,7 8,67 17,3 13,7 11,1 8,97 7,95 7,12 13,7 11,1 8,97 7,95 7,12 11,7 9,44 7,62 6,76 6,04 8,22 6,63 5,87 5,24 4,25
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
B
Z
H
Y
Y
T
Z
Figure B.3 — Rectangular hollow section
29
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Table B.4 — Dimensions and sectional properties of elliptical hollow sections (see Figure B.4) Specified dimensions
H × B
mm 120 120 120 120 120 150 150 150 150 150 150 180 180 180 200 200 200 200 220 220 220 250 250 250 250 250 250 300 300 300 300 320 320 320 320 400 400 400 400 400 480 480 480 500 500 500
30
mm 60 60 60 60 60 75 75 75 75 75 75 90 90 90 100 100 100 100 110 110 110 125 125 125 125 125 125 150 150 150 150 160 160 160 160 200 200 200 200 200 240 240 240 250 250 250
Specified thickness
T
mm 3,2 4,0 5,0 6,0 8,0 4,0 5,0 6,0 6,3 8,0 10,0 6,0 8,0 10,0 6,3 8,0 10,0 12,5 6,0 8,0 10,0 6,0 6,3 8,0 10,0 12,0 12,5 8,0 10,0 12,5 16,0 8,0 10,0 12,0 14,0 8,0 10,0 12,0 12,5 14,0 10,0 12,0 14,0 10,0 12,5 16,0
Mass per unit lengt h
Cross -sectional area
M
A
kg/m 6,85 8,48 10,5 12,4 16,2 10,7 13,3 15,8 16,5 20,6 25,3 19,1 25,1 30,8 22,3 28,0 34,5 42,4 23,5 31,0 38,2 26,9 28,2 35,4 43,8 51,9 53,9 42,8 53,0 65,5 82,5 45,8 56,7 67,5 78,0 57,6 71,5 85,2 88,6 98,7 86,3 103 119 90,0 112 142
Second moment of area
I yy 2
cm 8,7 10,8 13,4 15,8 20,6 13,6 16,9 20,1 21,0 26,3 32,2 24,3 31,9 39,3 28,4 35,7 44,0 54,0 30,0 39,5 48,7 34,2 35,9 45,1 55,8 66,2 68,7 54,5 67,5 83,4 105 58,3 72,3 86,0 99,4 73,4 91,1 109 113 126 110 131 152 115 142 180
4
cm 123 150 182 212 266 301 367 430 448 546 649 761 974 1169 1103 1358 1637 1954 1421 1832 2215 2109 2205 2732 3316 3864 3996 4813 5872 7120 8731 5877 7181 8422 9604 11690 14340 16910 17530 19370 25170 29750 34190 28540 35030 43710
I zz 4
cm 41,4 49,9 59,7 68,6 83,7 101 122 141 147 176 204 253 318 375 368 446 529 619 476 606 722 711 742 909 1090 1254 1292 1616 1950 2334 2809 1978 2393 2779 3137 3966 4829 5646 5843 6416 8529 10010 11430 9682 11790 14550
Radius of gyration
I yy
cm 3,76 3,73 3,69 3,66 3,59 4,70 4,66 4,63 4,62 4,56 4,49 5,59 5,52 5,46 6,23 6,17 6,10 6,02 6,88 6,81 6,74 7,85 7,84 7,78 7,71 7,64 7,63 9,39 9,32 9,24 9,12 10,0 9,97 9,90 9,83 12,6 12,5 12,5 12,5 12,4 15,1 15,1 15,0 15,8 15,7 15,6
I zz
cm 2,18 2,15 2,12 2,08 2,02 2,72 2,69 2,65 2,64 2,59 2,52 3,22 3,16 3,09 3,60 3,54 3,47 3,39 3,99 3,92 3,85 4,56 4,55 4,49 4,42 4,35 4,34 5,44 5,37 5,29 5,17 5,82 5,75 5,69 5,62 7,35 7,28 7,21 7,19 7,14 8,81 8,74 8,67 9,19 9,10 8,98
Elastic section modulus
Plastic section modulus
W el yy
W pl yy
3
cm 20,5 25,1 30,4 35,4 44,3 40,1 48,9 57,3 59,7 72,8 86,6 84,6 108 130 110 136 164 195 129 167 201 169 176 219 265 309 320 321 391 475 582 367 449 526 600 584 717 845 877 968 1049 1240 1425 1142 1401 1748
W el zz 3
Cm 13,8 16,6 19,9 22,9 27,9 26,9 32,5 37,7 39,1 46,8 54,5 56,2 70,6 83,3 73,5 89,3 106 124 86,6 110 131 114 119 145 174 201 207 215 260 311 374 247 299 347 392 397 483 565 584 642 711 835 953 775 943 1164
3
cm 28,7 35,3 43,2 50,7 64,7 56,1 68,9 81,3 84,9 105 126 119 154 187 155 193 235 284 181 235 287 235 246 307 376 442 458 449 551 674 837 513 631 745 855 811 1001 1186 1232 1366 1457 1730 1997 1585 1956 2459
W pl zz 3
cm 17,6 21,5 26,2 30,5 38,4 34,4 42,0 49,3 51,5 62,9 75,1 72,6 93,3 112 94,7 117 141 169 111 143 174 144,5 151 188 228 267 276 275 336 409 503 315 385 453 517 500 615 726 753 832 897 1062 1222 976 1201 1501
Torsional inertia consta nt
Torsional modulu s consta nt
Superficial area per metre length
I t
C t
As
4
cm 124 150 180 208 256 303 367 426 443 533 625 760 961 1139 1105 1347 1605 1889 1429 1824 2183 2130 2224 2734 3288 3798 3918 4846 5867 7047 8529 5928 7192 8375 9483 11860 14470 16960 17560 19310 25510 30010 34320 28950 35330 43740
3
cm 30,8 36,9 43,9 50,1 60,4 60,1 72,2 83,2 86,3 102 118 125 155 182 163 197 232 269 193 244 288 254,5 265 323 385 440 453 481 577 686 818 553 665 769 863 890 1079 1257 1299 1422 1594 1865 2121 1739 2108 2586
2
m /m 0,291 0,291 0,291 0,291 0,291 0,364 0,364 0,364 0,364 0,364 0,364 0,436 0,436 0,436 0,485 0,485 0,485 0,485 0,533 0,533 0,533 0,606 0,606 0,606 0,606 0,606 0,606 0,727 0,727 0,727 0,727 0,776 0,776 0,776 0,776 0,969 0,969 0,969 0,969 0,969 1,16 1,16 1,16 1,21 1,21 1,21
Nominal lengt h per tonne
M 146 118 95,4 80,5 61,8 93,4 75,4 63,5 60,6 48,5 39,6 52,4 39,9 32,4 44,8 35,7 29,0 23,6 42,5 32,3 26,2 37,2 35,5 28,2 22,8 19,3 18,5 23,4 18,9 15,3 12,1 21,8 17,6 14,8 12,8 17,4 14,0 11,7 11,3 10,1 11,6 9,71 8,37 11,1 8,95 7,06
I S B ) c ( , y p o C d e l l o r t n o c n U , 6 0 0 2 T S B 2 3 : 8 4 : 0 1 9 2 g u A e u T , y g o l o n h c e T f o e t u t i t s n I , t h g a l l a T y g o l o n h c e T f O e t u t i t s n I : y p o C d e s n e c i L
EN 10210-2:2006 (E)
Z
H
Y
Y
Z
T
B
Figure B.4 — Elliptical hollow section
31
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