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    Journal of Constructional Steel Research 62 (2006) 10471059www.elsevier.com/locate/jcsr

    The European standard family and its basis

    Gerhard Sedlacek, Christian Muller

    RWTH Aachen, Institute of Steel Construction, Mies-van-der-Rohe Strasse 1, D-52074 Aachen, Germany

    Abstract

    The Eurocodes as European unified design rules for structures are part of the European Standard Family comprising also product standards,

    testing standards, standards for execution, European Technical Approvals and European Technical Approval Guidelines.A key feature of all these standards is consistency that has been obtained by consistent definitions of material and product properties and by

    basing any calculative way of defining structural properties on test evaluations.

    As a consequence all rules in Eurocode 3 are justified by test evaluations with a standardised method that introduced full transparency into the

    harmonisation works and allowed new innovative design approaches.

    Some examples for determining characteristic values of actions and combination factors for actions as well as for determining characteristic

    values and design values of resistances, in particular for the rules for choice of material to avoid brittle fracture, the harmonisation of various types

    of stability checks and the new interpretation of the plate buckling rules highlight the benefits of the standardised evaluation method.c 2006 Elsevier Ltd. All rights reserved.

    Keywords: Eurocodes; Steel; Unified design rules; Examples

    1. Introduction

    The Eurocodes have been developed since 1979 in several

    steps. The start for steel was the development of Eurocode

    3 under a contract between the Commission and the ECCS.

    The Commission later mandated CEN to continue the work

    to prepare ENV-Eurocodes that after an inquiry have been

    transferred to the final EN versions.

    As 2005 is the year of the completion of technical works, see

    Fig. 1, it is an appropriate time for remembrance of the basis of

    the work agreed across different kinds of material and ways of

    construction in interdisciplinary groups, where Prof. Patrick J.

    Dowling, first chairman of the groups for preparing Eurocode

    3, played a key role.

    2. Globalisation and international standard families

    The globalisation of the construction market comprising

    construction products, engineering and construction services

    Corresponding author. Tel.: +49 241 80 5177; fax: +49 241 888 8140.E-mail address: [email protected](G. Sedlacek).

    Fig. 1. 2005year of completion of 10 Eurocodes (58 parts).

    requires International Code Families in order to avoid

    inconsistencies due to the use of various national codes.So far there are two sources of International Code Families:

    one in the USA, the other in Europe, each consisting of a design

    code in connection with product standards and testing codes,

    see Fig. 2.The European code family prepared by CEN so far includes

    10 Eurocodes with 58 parts with design rules and many

    hundreds of EN standards for products and testing. It also

    contains so far 170 European Technical Approvals and

    European Approval Guidelines worked out by the EuropeanOrganisation for Technical Approvals (EOTA).

    0143-974X/$ - see front matter c 2006 Elsevier Ltd. All rights reserved.

    doi:10.1016/j.jcsr.2006.06.027

    http://www.elsevier.com/locate/jcsrmailto:[email protected]://dx.doi.org/10.1016/j.jcsr.2006.06.027http://dx.doi.org/10.1016/j.jcsr.2006.06.027mailto:[email protected]://www.elsevier.com/locate/jcsr
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    Fig. 2. Overview of international code families.

    Fig. 3. Dissemination of international standard families.

    The European Standard Family is technically coordinated

    and constitutes the most advanced standard system in the world.

    Up to 2010 it will be implemented in countries of the EU

    and EFTA. It may also be chosen by other countries that wish

    to participate in the European market and European technicaldevelopments Fig. 3.

    3. Basis of the European standard family

    The Eurocodes and the European product and testing

    standards as well as ETAs and ETAGs are tools to fulfil

    the Essential requirements of the European Construction

    Product Directive (CPD) with sufficient reliability, in

    particular the requirements Mechanical resistance and

    stability and Resistance to fire Fig. 4.The conditions for the application and use of the Eurocodes

    and the product and testing standards are laid down in Guidance

    Paper L [1] agreed by the Commission and Member States.

    Fig. 4. Essential requirements and tools for fulfilment.

    The crucial condition in Guidance Paper L for the

    architecture of the design rules in Eurocode 3 and all

    other Eurocodes is that the manufacturer may determine the

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    Fig. 5. Testing of prefabricated components.

    Fig. 6. Reliability basis.

    properties of prefabricated components to be declared for CE

    marking either by tests or by calculations and that for the

    calculative determination of properties the Eurocodes are the

    only design codes referred to, see Fig. 5.By this condition a link between experimental results from

    tests with prefabricated components and the design rules in

    the Eurocodes is established, that is specified by the reliability

    requirements in EN 1990 Eurocode: Basis of Structural

    Design [2] in the following way:

    1. The product property to be declared, that may be determined

    directly from testing, shall represent a certain fractile ofthe statistical distribution of the experimental results. It

    is denoted as characteristic value Rk (in general the 5%-

    fractile) and this value declared with CE marking will be

    acknowledged throughout Europe without any impact from

    national safety levels. The method to determine Rk from

    tests is therefore a unified European rule in EN 1990

    Annex D.2. Eurocodes shall, as an alternative to experimental testing,

    provide by their design rules calculation-based methods for

    determining numerical values of Rk, that are in competition

    with those from direct experimental tests. Therefore the

    characteristic values Rk in the Eurocodes must be calibrated

    to test results such that the manufacturer prefers them to any

    experimental determination.

    3. Eurocodes have a double role; beside their role as a tool for

    determining Rk they shall also be suitable for the design

    of structures. That design needs design values Rd that

    shall be determined using the declared characteristic values

    Rk. Hence the design values Rd needed for the design of

    structures shall be

    Rd =Rk

    M

    where M is a global factor related to the resistance Rk. It is

    therefore not possible to use separate partial factors Mi to

    parameters Xi in the formula for R(Xi ), e.g. partial factors

    for stiffness, slenderness or the strengths of constitutivematerials.

    4. The choice of the global partial factors M is the respon-

    sibility of Member States (Nationally Determined Parame-

    ters); however the Eurocodes provide recommendations for

    the numerical values for these NDPs that result from the

    same test evaluations that are used to verify Rk. If national

    choices are different to these recommendations, these differ-

    ences should be justifiable.

    The basic reliability targets for design values for ULS

    recommended in EN 1990 are based on a semi-probabilistic

    approach, see Fig. 6, with the reliability index = 3.80 for a

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    Fig. 7. Guidance Paper L and model for traffic actions.

    Fig. 8. Definition of characteristic values of actions and action effects.

    reference period of 50 years and weighting factors E = 0.7for action effects and R = 0.8 for resistances.

    This schematic diagram applies to the simple case where just

    one action effect is relevant. More elaborate models have been

    developed for combinations of actions, as will be highlighted

    below.Before more details on the test evaluation, in particular for

    Eurocode 3, are presented, first the consequences of EN 1990

    for the determination of characteristic values and design values

    of actions are highlighted.

    4. Actions and action effects

    The procedure for determining the load models in the

    Eurocodes [3] can be best described with the load model for

    traffic loads on road bridges, see Fig. 7.From traffic measurements (axle loads and distances

    between axles) in the ParisLyon highway at Auxerre (that have

    been agreed to be adopted as representing European traffic)traffic effects E(Q) on typical bridges were calculated with

    dynamic simulation models.From statistical evaluations, functions of the characteristic

    values Ek(Q) were determined that were used to calibrate a

    fictitious engineering load model Qk composed of a suitable

    loading pattern and the magnitudes of its components. Inconclusion action models are all action-effect-oriented.

    For various actions the definitions of characteristic values

    are given in Fig. 8. Fig. 8 also shows the definition of

    combination factors from characteristic values of combined

    action effects.

    Fig. 9. Snow load in MunichRiem.

    Fig. 10. Wind load in MunichRiem.

    An example for the use of these definitions is the preparation

    of the loading specifications for the AllianzArena in Munich

    for the football world championship in 2006. Fig. 9 shows

    the statistical distribution of the annual extremes of the

    snowloads at the location of the stadium and the subsequentcharacteristic value for snow on the ground defined by a return

    period of 50 years or the 0.98-fractile of the annual extreme

    value distribution. Fig. 10 illustrates the determination of the

    characteristic peak velocity pressure according to EN 1991, Part

    1-4 for wind, and Fig. 11 gives the characteristic values of air

    temperature related to a reference temperature of+10 C.

    In Fig. 12 all characteristic values and design values

    determined from measurements of magnitudes of actions are

    assembled.

    For the determination of a combination factor the

    consideration of single actions is not sufficient. Fig. 13

    shows how the action effects from snow and wind may be

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    Fig. 11. Air temperature in MunichRiem.

    Fig. 12. Evaluated climatic actions.

    Fig. 13. Combination rule of climatic actions.

    Fig. 14. Characteristic values of effects of combined actions.

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    Fig. 15. Combination factor 0.

    determined for various locations at a structure, Fig. 14 gives

    the characteristic values of the action effects for these locations

    depending on the weighing parameter and Fig. 15 eventually

    shows the maximum value of the combination factor applicable

    to the concept of a leading and an accompanying action. Fig. 16

    shows the AllianzArena after completion.

    5. Calibration of steel structures design rules to tests

    The central role of the test evaluation for the development of

    sustainable design rules with sufficient stability and continuity

    for steel structures [4] (see Fig. 17) is demonstrated in Fig. 18:

    1. Prefabricated steel components to be tested experimentallyshall have properties representative for a larger population

    and comply with the requirements of the Product Standards Fig. 16. AllianzArena Munich.

    Fig. 17. Standard system for steel structures.

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    Fig. 18. Determination of characteristic values Rk and M values from tests.

    Fig. 19. Use of test evaluation method for various regulatory routes.

    Fig. 20. Procedure to obtain reliable values Rk.

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    Fig. 21. Choice of material.

    Fig. 22. Choice of material to EN 1993-1-10.

    for materials and semi-finished products and with the

    execution rules in EN 1090Part 2. These representativeproperties make them suitable to determine representative

    resistance values Rexp,i .2. For interpreting the test results an engineering model R(X)

    is applied that allows us to determine by calculation the

    resistance properties Rcalc,i of the test components using the

    measured parameters Xi .

    3. The plotting of the ratios

    RexpRcalc

    i

    versus Xi demonstrates

    the quality of the engineering model (the ratios should be

    independent of Xi variations, i.e. horizontal lines).4. By direct comparison of Rexp,i and Rcalc,i the mean value

    correction Rm and the scatter distribution s can be found.

    These values allow estimation of the initial value Rk = R5% Fig. 23. Choice of material to EN 1993-1-10.

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    Fig. 24. Common design rules.

    Fig. 25. Test evaluation for buckling curves and M values.

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    Fig. 26. Mechanical background of column and lateral torsional buckling.

    and the design value Rd, for which the recommended value

    of the reliability index = 3.8 and the weighting factor

    R = 0.8 for the resistance are used.5. From Rk and Rd the M-value for the particular problem can

    be obtained, or as suggested in Eurocode 3, a suitable class

    ofM is chosen from the following possibilities:M0 = 1.00 where large deflections due to yielding ( fy)

    define the ULSM1 = 1.10 where component failure due to instability

    occurs ()M2 = 1.25 where failure is caused by disintegration of

    material ( fu).6. The initial characteristic value is then corrected to comply

    with the partial factor Mi chosen as

    Rk = Mi Rd.

    7. Finally, the statistical parameters obtained from this test

    evaluation allow the determination of quality requirements

    for the product standards and execution standards to comply

    with the M values.

    With this evaluation method, which is more detailed in EN

    1990 and Eurocode 3, a transparent unified European basis for

    the equal treatment of research results, unique verifications,

    technical approvals and design codes is available that facilitates

    the transfer of research results to practical applications, see

    Fig. 19.

    This method has been used to justify the characteristic values

    of strength and also the numerical values of the partial factors

    M recommended in Eurocode 3EN 1993 [4]. Fig. 20 gives a

    survey on the various recommended M values associated with

    the different ductile failure modes distinguished in Eurocode

    3EN 1993. It also shows that test evaluations were performed

    to determine the design strength functions Rd depending on

    the yield strength fy or the tensile strength fu according to

    the relevant failure mode in the first instance, whereas the

    characteristic values Rk were obtained from Rd by multiplyingwith the recommended M-values.

    The method has also been used to adjust the toughness oriented

    safety checks for brittle failure in the low temperature domain

    to target reliability in order to prepare the rules for the choice

    of material to avoid brittle fracture in EN 1993Part 10. This

    choice is the prerequisite to base the design on ductile failure

    modes only.All test evaluations have demonstrated that the model

    uncertainty s of any engineering model R is the main

    controlling parameter for M, so that the format Rd =RkM

    used in Eurocode 3 is also justified from the statistical point of

    view.

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    Fig. 27. Comparison of buckling curves and LTB curves.

    6. Choice of material to avoid brittle fracture

    The choice of material to avoid brittle fracture is based on a

    fracture mechanics model as illustrated in Fig. 21. For a given

    detail the accidental existence of an initial crack with the size

    a0 is assumed, that normally should have been detected and

    repaired during welding inspections.

    Under service conditions, initial cracks may grow due to

    fatigue until they are detected by service inspections.

    It is assumed that in the time interval between two

    inspections a fatigue load equivalent to the fatigue damage

    D =1

    4=

    3i ni

    3c 2 106

    is applied to the structure, so that due to fatigue the crack withsize a0 at the beginning of the interval develops to its design

    value ad at the end of the interval.

    At the end of the interval an accidental design situation is

    applied for the structure with the minimum temperature TEd as

    leading action together with the frequent load effect Ed =

    G + 1 Q as accompanying action and the crack size ad

    at the most unfavourable location of the structure. The safety

    check is performed using stress intensity factors K and reads:

    Kappl,d Kmat,d

    where Kappl,d is the toughness requirement and Kmat is the

    toughness resistance.

    Fig. 22 shows the table for permissible product thicknessescalculated for different steel grades, temperatures and stress

    levels with this model. Fig. 23 shows a typical application for

    the cast steel nodes for the grandstand roof of the Olympic

    stadium in Berlin.

    7. Harmonisation of stability rules

    A field of traditionally complex design rules is the field

    of stability verifications, namely for flexural buckling, lateral

    torsional buckling, plate buckling and shell buckling.

    To demonstrate the efficiency of the test evaluation method

    a simplified unique approach for the verification of these

    stability phenomena is used that takes the availability of FEMprogrammes into account.

    Fig. 24 gives the unified approach for the verification of

    flexural buckling, lateral torsional buckling, plate buckling

    and shell buckling by using the Global system slenderness

    concept together with appropriate reduction curves ().

    This concept is not limited to specific geometrical boundary

    conditions or loading conditions [5].

    The reduction curves (), namely column buckling curves,

    lateral torsional buckling curves, plate buckling curves and shell

    buckling curves, are defined by technical classes with imperfec-

    tion parameters a0, a, b, c, d. These parameters were calibrated

    to test results according to EN 1990Annex D in such a way

    that the required characteristic values Rk and the recommendedvalues for the partial factors M were obtained, see Fig. 25.

    The engineering models used for the buckling curves are

    based on mechanical models for structural elements with

    imperfections, see Fig. 26. Fig. 27 shows the shape of the

    buckling curves depending on the product used and the limit

    state considered.

    Fig. 28. Application of global slenderness concept for a bridge supporting frame.

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    Fig. 29. Modelling of plate buckling.

    The possibilities that are offered by this new harmonised

    method are demonstrated by the stability check of a complete

    frame as given in Fig. 28 [6].

    8. New interpretation of plate buckling rules

    The two methods offered in EN 1993-1-5 Eurocode 3

    Part 1-5 for plate buckling verification, i.e. the method based

    on stress limitations and the method using effective cross-

    sections could be consistently interpreted in the course of test

    evaluations.

    Whereas the performance of the member before plate

    buckling of its components in compression can be easily

    described by the stress limitation method based on gross cross-

    sections and linear elastic behaviour the formation of effectivecross-sectional properties presumes that after a certain amount

    of non-linear deformation a strain up to the yield strain y can

    be reached, see Fig. 29.

    Fig. 30 shows the equivalence of the stress limit limit for the

    gross area and of the limit by yielding for the effective area for

    a single plate element.

    It also shows how after the first attainment of the stress limit

    limit for the weakest plate element the distribution of stress

    limits limit over the full cross-section may be obtained, that

    is fully equivalent to the distribution of effective areas related

    to fy over the cross-section

    Hence both the stress limit concept and the effective cross-section concept lead to the same results for resistance if in the

    stress limit concept the distribution of different stress limits is

    integrated as for hybrid sections or composite sections.

    9. Conclusions

    The Eurocodes are part of the European Standard Family and

    will be completed by the end of 2005.

    Fig. 30. Modelling of plate buckling.

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    The Eurocodes have a double role. On the one hand they

    give rules to determine the characteristic values of product

    properties for CE marking by calculation instead of testing;

    on the other hand they are technical reference documents for

    design works in connection with National Annexes.

    This double role requires that all design rules are based on

    test evaluations using an appropriate test evaluation method.Such a test evaluation method initially developed for Eurocode

    3 (former Annex Z of ENV 1993) is now standardised in

    Annex D of EN 1990 Eurocode Basis of Structural Design

    applicable to all kinds of materials and ways of construction.

    Various examples are given to show the benefits of the

    evaluation method both for the determination of characteristic

    values of actions and for determining characteristic and design

    values of resistances.

    The evaluation method has led to a transparent system that

    enabled us to introduce new innovative approaches for design,

    e.g. for the choice of material to avoid brittle fracture and

    harmonised general rules for stability checks including more

    consistent approaches for plate buckling.

    Prof. Patrick J. Dowling as former chairman of the

    subcommittee of CEN/TC 250 for Eurocode 3 played a key rule

    in introducing this strategy for harmonising technical rules in

    Europe.

    References

    [1] European Commission: Enterprise Directorate-General. Single Market:

    Regulatory Environment, Standardisation and New Approach. Construc-

    tion. ENTR/G5: Guidance paper L (concerning the Construction Products

    Directive 89/106/EEC) Application and use of eurocodes. Brussels. 27

    November 2003.

    [2] European Committee for Standardization CEN: EN 1990EurocodeBasis

    of structural design. Brussels.

    [3] European Committee for Standardization CEN: EN 1991Actions on

    structures. Brussels.

    [4] European Committee for Standardization CEN: EN 1993Eurocode

    3Design of steel structures. Brussels.

    [5] Muller C. Zum Nachweis ebener Tragwerke aus Stahl gegen seitliches

    Ausweichen, Dissertation. Heft 47, 2003.

    [6] Sedlacek G, Muller C. Eurocodes et International Advantages des

    Eurocodes, Colloque Europeen sur les Eurocodes. Paris 12/2004.