Hot finished structural hollow sections of non-alloy and fine grain steels - Part 2: Tolerances, dimensions and sectional properties

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.

Warmgefertigte Hohlprofile für den Stahlbau aus unlegierten Baustählen und aus Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und statische Werte

Dieser Teil der EN 10210 legt die Anforderungen an die Grenzabmaße und Formtoleranzen von
warmgefertigten geschweißten Hohlprofilen mit kreisförmigem, quadratischem, rechteckigem oder
elliptischem Querschnitt für den Stahlbau in Wanddicken bis 120 mm innerhalb folgender Maßbereiche fest:
Kreisförmige Profile: Außendurchmesser bis 2 500 mm;
Quadratische Profile: Außenmaße bis 800 mm × 800 mm;
Rechteckige Profile: Außenmaße bis 750 mm × 500 mm;
Elliptische Profile: Außenmaße bis 500 mm × 250 mm.
Die Gleichungen zur Berechnung der statischen Werte für die Auslegung von Konstruktionen aus Hohlprofilen,
die mit den in dieser Norm festgelegten Grenzabmaßen und Formtoleranzen gefertigt wurden, werden in
Anhang A angegeben.
Die Maße und statischen Werte für eine Reihe von Standardgrößen werden im Anhang B angegeben.
Wegen der technischen Lieferbedingungen siehe EN 10210-1.
ANMERKUNG Die Bezeichnung der Profilhauptachse (yy) und -nebenachse (zz) entspricht den Achsenbezeichnungen,
die in den Eurocodes für die Auslegung von Stahlkonstruktionen verwendet werden.

Profils creux de construction finis à chaud en aciers non alliés et à grains fins - Partie 2 : Tolérances, dimensions et caractéristiques de profil

La présente partie de l’EN 10210 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 : diamètre extérieur jusqu’à 2 500 mm ;
-   carré : dimensions extérieures jusqu’à 800 mm  800 mm ;
-   rectangulaire : dimensions extérieures jusqu’à 750 mm  500 mm ;
-   elliptique : dimensions extérieures jusqu’à 500  250 mm.
Les formules pour le calcul des caractéristiques de profil 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 profil pour une gamme limitée de dimensions sont données à l’Annexe B.
Les conditions techniques de livraison sont spécifiées dans l’EN 10210-1.
NOTE   La désignation de l’axe principal (yy) et de l’axe secondaire (zz) du profilé est alignée sur la désignation des axes utilisée en conception dans les Eurocodes.

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

General Information

Status
Withdrawn
Publication Date
25-Apr-2006
Withdrawal Date
07-May-2019
Current Stage
9960 - Withdrawal effective - Withdrawal
Completion Date
08-May-2019

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2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Warmgefertigte Hohlprofile für den Stahlbau aus unlegierten Baustählen und aus Feinkornbaustählen - Teil 2: Grenzabmaße, Maße und statische WerteProfils creux de construction finis a chaud en aciers non alliés et a grains fins - Partie 2 : Tolérances, dimensions et caractéristiques de profilHot finished structural hollow sections of non-alloy and fine grain steels - Part 2: Tolerances, dimensions and sectional properties77.140.70Jekleni profiliSteel profiles77.140.45Nelegirana jeklaNon-alloyed steelsICS:Ta slovenski standard je istoveten z:EN 10210-2:2006SIST EN 10210-2:2006en01-julij-2006SIST EN 10210-2:2006SLOVENSKI

STANDARDSIST EN 10210-2:19981DGRPHãþD
SIST EN 10210-2:2006

EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 10210-2April 2006ICS 77.140.75Supersedes EN 10210-2:1997

English VersionHot finished structural hollow sections of non-alloy and fine grainsteels - Part 2: Tolerances, dimensions and sectional propertiesProfils creux pour la construction finis à chaud en aciersnon alliés et à grains fins - Partie 2 : Tolérances,dimensions et caractéristiques de profilWarmgefertigte Hohlprofile für den Stahlbau ausunlegierten Baustählen und aus Feinkornbaustählen - Teil2: Grenzabmaße, Maße und statische WerteThis 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 EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards 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 translationunder the responsibility of a CEN member into its own language and notified to the Central Secretariat has the same status as the officialversions.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 STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36

B-1050 Brussels© 2006 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 10210-2:2006: ESIST EN 10210-2:2006

EN 10210-2:2006 (E) 2 Contents Page Foreword..........................................................................................................................................................3 1 Scope...................................................................................................................................................4 2 Normative references.........................................................................................................................4 3 Terms and definitions.........................................................................................................................4 4 Symbols...............................................................................................................................................4 5 Information to be obtained by the manufacturer..............................................................................5 5.1 Mandatory information.......................................................................................................................5 5.2 Options................................................................................................................................................6 6 Tolerances...........................................................................................................................................6 7 Measurement of size and shape........................................................................................................8 7.1 General................................................................................................................................................8 7.2 Outside dimensions............................................................................................................................8 7.3 Thickness............................................................................................................................................9 7.4 Out-of-roundness................................................................................................................................9 7.5 Concavity and convexity....................................................................................................................9 7.6 Squareness of sides.........................................................................................................................10 7.7 External corner profile......................................................................................................................11 7.8 Twist...................................................................................................................................................11 7.9 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

SIST EN 10210-2:2006

EN 10210-2:2006 (E) 3 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. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 4 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 1: 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. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 5 Table 1 —Symbols and definitions Symbol Unit Definition A cm2 Cross-sectional area Am mm2 Area of the surface delimited by the perimeter at mid-thickness As m2/m Superficial area per metre length B mm Specified side dimension of a square hollow section. Specified dimension of the shorter side of a rectangular hollow section. Specified outside dimension of an elliptical section on its minor axis C1/C2 mm Length of corner region of a square or rectangular hollow section Ct cm3 Torsional modulus constant D mm Specified outside diameter of a circular hollow section Dmax/Dmin mm The maximum and minimum outside diameter of a circular hollow section measured in the same plane e mm Deviation from straightness H mm Specified dimension of the longer side of a rectangular hollow section. Specified outside dimension of an elliptical section on its major axis

I cm4 Second moment of area It cm4 Torsional inertia constant (polar moment of inertia in the case of circular hollow sections only) i cm Radius of gyration L mm Length M kg/m Mass per unit length O % Out-of-roundness P mm External perimeter of an elliptical hollow section R mm External corner radius of a square or rectangular hollow section T mm Specified thickness U mm Perimeter of an elliptical hollow section at mid-thickness V mm Total measured twist V1 mm Twist measured at one end of a section Wel cm3 Elastic section modulus Wpl cm3 Plastic section modulus x1 mm Concavity of a side of a square or rectangular hollow section x2 mm Convexity of a side of a square or rectangular hollow section yy — Axis of cross-section, major axis of a rectangular hollow section zz — Axis of cross-section, minor axis of a rectangular hollow section θ º Angle between adjacent sides of a square or rectangular hollow section 5 Information to be obtained by the manufacturer 5.1 Mandatory information The following mandatory information from this part of EN 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. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 6 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 the tolerance on approximate length shall be 1500+mm (see Table 3).

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. NOTE The internal corner profile is not specified. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 7 Table 2 — Tolerances on shape, straightness and mass Characteristic Circular hollow sections Square and rectangular hollow sections Elliptical hollow sections Outside dimensions (D, B, H) ±1 % with a minimum of ± 0,5 mm and a maximum of ± 10 mm ± 1 % a with a minimum of ± 0,5 mm Thickness (T) -10 % b , c

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 (C1, C2 or R) f

— 3T maximum at each corner — Twist (V) — 2 mm a plus 0,5 mm/m length a Straightness (e) 0,2 a % 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 %.

SIST EN 10210-2:2006
EN 10210-2:2006 (E) 8 Table 3 — Tolerances on manufacturer's delivered length
Dimensions in millimetres Type of length 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 b

Exact length 2 000 ≤ L ≤ 6 000 > 6 000 c

100+ mm 150+ mm 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 1500+ mm. c Common lengths available are 6 m and 12 m.

Table 4 — Tolerance on height of internal and external weld bead 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 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. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 9 7.3 Thickness The thickness (T) of welded hollow sections shall be measured at a position not less than 2T from the weld. The limiting cross-sectional positions for measuring the thickness of square and rectangular hollow sections are shown in Figure 1. NOTE Thickness is normally measured within a distance of half the outside diameter or half the dimension of the longer side from the end of the section. Dimensions in millimetres C51C2H , BTB5aa 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: 100(%)minmax×−=DDDO 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: %100%;100%;100%;1002121××××HxHxBxBx where B and H are the dimensions of the sides containing the concavity x1 or the convexity x2. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 10 C
, C12B , HBAx1x1x A B2C

, C122x 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 SIST EN 10210-2:2006

EN 10210-2:2006 (E) 11 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 (C1 and C2 in Figure 4) shall be measured. c1c2 AAR 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 SIST EN 10210-2:2006

EN 10210-2:2006 (E) 12 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 V1 (see Figure 6) measured at each end of the hollow section. 1V12 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 V1 (see Figure 7) measured at each end of the hollow section. 1VH1 Key 1 Spirit level Figure 7 – Measurement of twist of elliptical hollow sections SIST EN 10210-2:2006

EN 10210-2:2006 (E) 13 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×Le 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.

eL 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.

SIST EN 10210-2:2006
EN 10210-2:2006 (E) 14 Annex A
(normative)

Formulae for the calculation of sectional properties A.1 General Tables B.1, B.2, B.3 and B.4 of this standard give nominal sectional properties for a limited range of sizes of hot finished hollow sections. The nominal sectional properties of hollow sections supplied to the requirements of this standard shall be calculated using the formulae given below. NOTE The designation of the sections' major axis (yy) and its minor axis (zz) align with the axis designation used for structural design in the structural Eurocodes. This is a change from previous axis designations.

A.2 Circular hollow sections The sectional properties for circular hollow sections in Table B.1 are calculated using the formulae given below. Specified outside diameter (D) (mm) Specified thickness (T) (mm) Inside diameter (d = D - 2T) (mm) These parameters, which characterize the shape of circular hollow sections, may vary within the tolerances allowed by this standard and the sectional properties still remain valid. Superficial area per metre length 310DsAπ= (m2/m) Cross-sectional area ()222104×−=dDAπ (cm2) Mass per unit length M = 0,785 × A (kg/m) Second moment of area ()4441064×−=dDIπ (cm4) Radius of gyration AIi= (cm) SIST EN 10210-2:2006

EN 10210-2:2006 (E) 15 Elastic section modulus DIW102el×= (cm3) Plastic section modulus 333pl106×−=dDW (cm3) Torsional inertia constant

(polar moment of inertia) IIt2= (cm4) Torsional modulus constant Ct = 2Wel

(cm3) 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 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 (ro) for calculation is: (ro = 1,5T) (mm) 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 ()oo3s4102rrBHAπ+−+= (m2/m) Cross-sectional area ()()()22i2o10422rrTHBTA−−−−+=π (cm2) Mass per unit length M = 0,785A (kg/m) Second moment of area Major axis Iyy()()()()+++−−−−=22ggg33444122212101hAIhAITHTBBH (cm4) SIST EN 10210-2:2006

EN 10210-2:2006 (E) 16 Minor axis Izz()()()()+++−−−−=22ggg33444122212101hAIhAITBTHHB (cm4) Radius of gyration

Major axis iyy = AIyy (cm)
Minor axis izz =AIzz (cm) Elastic section modulus
Major axis Wel yy =HIyy2×10
(cm3)
Minor axis Wel zz =BIzz2×10 (cm3) Plastic section modulus
Major axis Wpl yy =()()()()+−−−−gg223444224101hAhATHTBBH (cm3)

Minor axis Wpl zz =()()()()+−−−−gg223444224101hAhATBTHHB (cm3) Torsional inertia constant +=h34t23101KAhTI (cm4) Torsional modulus constant +=TKTIC/10tt (cm3)

Where 2og41rA−=π (mm2)
2i41rA−=π (mm2) SIST EN 10210-2:2006
EN 10210-2:2006 (E) 17
Major axis og3-123102rHh−−=ππ (mm) (For minor axis substitute B for H.)
Major axis i3-1231022rTHh−−−=ππ (mm) (For minor axis substitute B for H.)
()4og312311631rI−−−=ππ (mm4)
()4i312311631rI−−−=ππξξ (mm4)
h = 2[(B – T) + (H – T)] – 2RC(4 - π) (mm)
Ah = (B – T) (H – T) – R2C(4 - π) (mm)
hTAKh2= (mm2)
2iocrrR+= (mm)

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. SIST EN 10210-2:2006

EN 10210-2:2006 (E) 18 Superficial area As = 310P (m2/m) Cross sectional area ()()[]210422×−−−=TBTHHBAπ (cm2) Mass per unit length M = 0,785 A

(kg/m) Second moment of area
Major axis ()()[]433106422πTHTBBHIyy−−−=
(cm4)
Minor axis ()()[]433106422πTBTHHBIzz−−−=
(cm4) Radius of gyration
Major axis iyy
= AIyy (cm)
Minor axis izz = AIzz (cm) Elastic section modulus
Major axis HIWyyelyy20= (cm3)
Minor axis BIWzzelzz20= (cm3) Plastic section modulus
Major axis []322106)2()2(×−−−=TBTHBHWplyy (cm3)
Minor axis []322106)2()2(×−−−=THTBHBWplzz
(cm3) SIST EN 10210-2:2006

EN 10210-2:2006 (E) 19 Torsional inertia constant +=34101324UTUTAImt (cm4) Torsional modulus constant +=UATICmtt210 (cm3)

where 4))((TBTHAm−−=π (mm2)
()+−++=225,012BHBHBHPπ (mm)
()−+−+−+=2225,0122TBHBHTBHUπ (mm)
SIST EN 10210-2:2006
EN 10210-2:2006 (E) 20 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 thickness Mass per unit length Cross-sectional area Second moment of area Radius of gyration Elastic section modulus Plastic section modulus Torsional inertia constant Torsional modulus constant Super-ficial area per metre length Nominal length per tonne D T M A I i Wel Wpl It Ct As

mm mm kg/m cm2 cm4 cm cm3 cm3 cm4 cm3 m2/m M 21,3 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 21,3 3,2 1,43 1,82 0,768 0,650 0,722 1,06 1,54 1,44 0,067 700 26,9 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 26,9 3,2 1,87 2,38 1,70 0,846 1,27 1,81 3,41 2,53 0,085 535 33,7 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 33,7 4,0 2,93 3,73 4,19 1,06 2,49 3,55 8,38 4,97 0,106 341 42,4 2,6 2,55 3,25 6,46 1,41 3,05 4,12 12,9 6,10 0,133 392 42,4 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 48,3 2,6 2,93 3,73 9,8 1,62 4,05 5,44 19,6 8,10 0,152 341 48,3 3,2 3,56 4,53 11,6 1,60 4,80 6,52 23,2 9,59 0,152 281 48,3 4,0 4,37 5,57 13,8 1,57 5,70 7,87 27,5 11,4 0,152 229 48,3 5,0 5,34 6,80 16,2 1,54 6,69 9,42 32,3 13,4 0,152 187 60,3 2,6 3,70 4,71 19,7 2,04 6,52 8,66 39,3 13,0 0,189 270 60,3 3,2 4,51 5,74 23,5 2,02 7,78 10,4 46,9 15,6 0,189 222 60,3 4,0 5,55 7,07 28,2 2,00 9,34 12,7 56,3 18,7 0,189 180 60,3 5,0 6,82 8,69 33,5 1,96 11,1 15,3 67,0 22,2 0,189 147 76,1 2,6 4,71 6,00 40,6 2,60 10,7 14,1 81,2 21,3 0,239 212 76,1 3,2 5,75 7,33 48,8 2,58 12,8 17,0 97,6 25,6 0,239 174 76,1 4,0 7,11 9,06 59,1 2,55 15,5 20,8 118 31,0 0,239 141 76,1 5,0 8,77 11,2 70,9 2,52 18,6 25,3 142 37,3 0,239 114 88,9 3,2 6,76 8,62 79,2 3,03 17,8 23,5 158 35,6 0,279 148 88,9 4,0 8,38 10,7 96,3 3,00 21,7 28,9 193 43,3 0,279 119 88,9 5,0 10,3 13,2 116 2,97 26,2 35,2 233 52,4 0,279 96,7 88,9 6,3 12,8 16,3 140 2,93 31,5 43,1 280 63,1 0,279 77,9 101,6 3,2 7,77 9,89 120 3,48 23,6 31,0 240 47,2 0,319 128,8 101,6 4,0 9,63 12,3 146 3,45 28,8 38,1 293 57,6 0,319 103,9 101,6 5,0 11,9 15,2 177 3,42 34,9 46,7 355 69,9 0,319 84,0 101,6 6,3 14,8 18,9 215 3,38 42,3 57,3 430 84,7 0,319 67,5 101,6 8,0 18,5 23,5 260 3,32 51,1 70,3 519 102 0,319 54,2 101,6 10,0 22,6 28,8 305 3,26 60,1 84,2 611 120 0,319 44,3 114,3 3,2 8,77 11,2 172 3,93 30,2 39,5 345 60,4 0,359 114,1 114,3 4,0 10,9 13,9 211 3,90 36,9 48,7 422 73,9 0,359 91,9 114,3 5,0 13,5 17,2 257 3,87 45,0 59,8 514 89,9 0,359 74,2 114,3 6,3 16,8 21,4 313 3,82 54,7 73,6 625 109 0,359 59,6 114,3 8,0 21,0 26,7 379 3,77 66,4 90,6 759 133 0,359 47,7 114,3 10,0 25,7 32,8 450 3,70 78,7 109 899 157 0,359 38,9 139,7 4,0 13,4 17,1 393 4,80 56,2 73,7 786 112 0,439 74,7 139,7 5,0 16,6 21,2 481 4,77 68,8 90,8 961 138 0,439 60,2 139,7 6,3 20,7 26,4 589 4,72 84,3 112 1177 169 0,439 48,2 139,7 8,0 26,0 33,1 720 4,66 103 139 1441 206 0,439 38,5 139,7 10,0 32,0 40,7 862 4,60 123 169 1724 247 0,439 31,3 139,7 12,5 39,2 50,0 1020 4,52 146 203 2040 292 0,439 25,5 168,3 4,0 16,2 20,6 697 5,81 83 108 1394 166 0,529 61,7 168,3 5,0 20,1 25,7 856 5,78 102 133 1712 203 0,529 49,7 168,3 6,3 25,2 32,1 1053 5,73 125 165 2107 250 0,529 39,7 168,3 8,0 31,6 40,3 1297 5,67 154 206 2595 308 0,529 31,6 168,3

10,0 39,0 49,7 1564 5,61 186 251 3128 372 0,529 25,6 SIST EN 10210-2:2006

EN 10210-2:2006 (E) 21 Specified outside diameter Specified thickness Mass per unit length Cross-sectional area Second moment of area Radius of gyration Elastic section modulus Plastic section modulus Torsional inertia constant Torsional modulus constant Super-ficial area per metre length Nominal length per tonne D T M A I i Wel Wpl It Ct As

mm mm kg/m cm2 cm4 cm cm3 cm3 cm4 cm3 m2/m M 168,3 12,5 48,0 61,2 1868 5,53 222 304 3737 444 0,529 20,8 177,8 5,0 21,3 27,1 1014 6,11 114 149 2028 228 0,559 46,9 177,8 6,3 26,6 33,9 1250 6,07

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