Buckling curves of hot rolled H steel sections submitted to fire
342 pages
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EURO PEAN COMMISSION SCIENCE RESEARCH DEVELOPMENT technical steel research Properties and in-service performance Buckling curves of hot rolled H steel sections submitted to fire h Report W EUR 18380 EN STEEL RESEARCH EUROPEAN COMMISSION Edith CRESSON, Member of the Commission responsible for research, innovation, education, training and youth DG XII/C.2 — RTD actions: Industrial and materials technologies — Materials and steel Contact: Mr H. J.-L. Martin Address: European Commission, rue de la Loi 200 (MO 75 1/10), B-1049 Brussels — Tel. (32-2) 29-53453; fax (32-2) 29-65987 European Commission technical steel research Properties and in-service performance Buckling curves of hot rolled H steel sections submitted to fire J.B. Schleich, L-G. Cajot ProfilARBED-Recherches 66, rue de Luxembourg L-4002 Esch/Alzette J. Kruppa, D. Talamona CTICM Domaine de St. Paul BP1 F-78470 St.-Rémy-les-Chevreuse W. Azpiazu, J. Unanue LABEIN Cuesta de Olabeaga 16 E-48013 Bilbao L. Twilt, J. Fellinger, R-J. Van Foeken TNO PO Box 49 2600 AA Delft The Netherlands J-M. Franssen Université de Liège Quai Banning 6 B-4000 Liège Contract No 7210-SA/316/515/618/931 1 July 1992 to 30 June 1995 Final report Directorate-General Science, Research and Development 1998 EUR 18380 EN LEGAL NOTICE Neither the European Commission nor any person acting on behalf of the Commission is responsible for the use which might be made of the following information.

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EURO PEAN
COMMISSION
SCIENCE
RESEARCH
DEVELOPMENT
technical steel research
Properties and in-service performance
Buckling curves of hot
rolled H steel sections
submitted to fire
h
Report
W
EUR 18380 EN STEEL RESEARCH EUROPEAN COMMISSION
Edith CRESSON, Member of the Commission
responsible for research, innovation, education, training and youth
DG XII/C.2 — RTD actions: Industrial and materials technologies —
Materials and steel
Contact: Mr H. J.-L. Martin
Address: European Commission, rue de la Loi 200 (MO 75 1/10),
B-1049 Brussels — Tel. (32-2) 29-53453; fax (32-2) 29-65987 European Commission
technical steel research
Properties and in-service performance
Buckling curves of hot rolled H steel
sections submitted to fire
J.B. Schleich, L-G. Cajot
ProfilARBED-Recherches
66, rue de Luxembourg
L-4002 Esch/Alzette
J. Kruppa, D. Talamona
CTICM
Domaine de St. Paul
BP1
F-78470 St.-Rémy-les-Chevreuse
W. Azpiazu, J. Unanue
LABEIN
Cuesta de Olabeaga 16
E-48013 Bilbao
L. Twilt, J. Fellinger, R-J. Van Foeken
TNO
PO Box 49
2600 AA Delft
The Netherlands
J-M. Franssen
Université de Liège
Quai Banning 6
B-4000 Liège
Contract No 7210-SA/316/515/618/931
1 July 1992 to 30 June 1995
Final report
Directorate-General
Science, Research and Development
1998 EUR 18380 EN LEGAL NOTICE
Neither the European Commission nor any person acting on behalf of the Commission
is responsible for the use which might be made of the following information.
A great deal of additional information on the European Union is available on the Internet.
It can be accessed through the Europa server (http://europa.eu.int).
Cataloguing data can be found at the end of this publication.
Luxembourg: Office for Official Publications of the European Communities, 1998
ISBN 92-828-4603-2
© European Communities, 1998
Reproduction is authorised provided the source is acknowledged.
Printed in Luxembourg
PRINTED ON WHITE CHLORINE-FREE PAPER BUCKLING CURVES OF HOT ROLLED H STEEL SECTIONS
SUBMITTED TO FIRE
C.KC. Agreement N° 7210-SA/316/515/618/931
DRAFT FINAL REPORT (01.07.1992 to 30.06.1995)
SUMMARY
The research has lead to new formulae for the design of steel columns in case of fire:
- a new N/M interaction formula
- new buckling curves instead of the buckling curve c divided by 1,2 proposed in the present
version of Eurocode 3 Part 1.2.
These formulae are presented in Design tables useful for the practical engineer. These formulae
were deduced and calibrated from a very large amount of numerical simulations (more than
300 000) and from a database comprising 141 test results including the 29 tests made in the
frame of the research.
For the study of the axially loaded columns, 21 tests have been performed in the Laboratory of
LABEIN in Bilbao and 8 tests have been made in the CTICM laboratory in Maizières-les-Metz
to analyse columns subjected to a normal force and a constant bending moment distribution.
The numerical simulations were made by using the five programs available in the different
organizations: CEFICOSS and SAFIR (ProfilARBED Recherches and University of Liège),
DIANA (TNO), LENAS and SISMEF (CTICM). RESUME
La recherche a permis de définir de nouvelles formules pour le calcul des colonnes en acier
soumises au feu:
­ une nouvelle formule d'interaction N/M
­ de nouvelles courbes de flambement à la place de la courbe c divisée par 1,2 de la version
actuelle de l'Eurocode 3 Part 1.2.
Ces formules sont présentées sous forme d'abaques facilement utilisables par les ingénieurs de
bureaux d'études. Ces formules ont été déduites et calibrées suite à un grand nombre de
simulations numériques (plus de 300 000) et à partir d'une base de données comprenant les
résultats de 141 tests incluant 29 tests réalisés dans le cadre de cette recherche.
Pour l'étude des colonnes chargées axiallement 21 tests ont été réalisés au laboratoire de
LABEIN à Bilbao tandis que 8 tests ont eu lieu au laboratoire du CTICM à Maizières­les­Metz
pour analyser les colonnes soumises à une force normale et à un moment fléchissant constant.
Les simulations ont été faites en utilisant 5 logiciels disponibles auprès des différents
partenaires: CEFICOSS et SAFIR (ProfilARBED Recherches et Université de Liège), DIANA
(TNO), LENAS et SISMEF (CTICM).
Ζ U S A M M Ε Ν. F A S S U Ν G
Das vorliegende Projekt hat zu neuen Formeln zur Bemessung von Stahlstützen im Brandfall
geführt:
­ eine neue Formel zur N/M Interaktion
­ neue Knickkurven, anstatt der empfohlene Kurve c geteilt durch 1,2 der jetzigen Fassung
von EC 3 Teil 1.2.
Diese Formeln werden den Anwendern in praktische Bemessungstafeln vorgestellt. Diese
Formeln wurden abgeleitet und kalibriert durch eine hohe Anzahl von numerischen
Simulationen (über 300 000) und aus einer Datenbank mit den Resultaten von 141 Versuchen
einschließlich der 29 Versuche im Rahmen dieses Projektes.
Für die Untersuchung der axial belasteten Stützen wurden 21 Versuche bei LABEIN in Bilbao
sowie für die Untersuchung der axial belasteten Stützen mit konstantem Biegemoment wurden
8 Versuche bei CTICM in Maizières­les­Metz durchgeführt.
Die numerischen Simulationen wurden durchgeführt unter Zuhilfenahme von 5 den
verschiedenen Partnern zur Verfügung stehenden Programmen: CEFICOSS und SAFIR
(ProfilARBED Forschung und Universität Lüttich), DIANA (TNO), LENAS und SISMEF
(CTICM). TABLE OF CONTENTS
1. INTRODUCTION 7
2. EXPERIMENTAL WORK: FIRE TESTS ON STEEL COLUMNS 11
2.1 INTRODUCnON 11
2.2 GENERAL DESCRIPHON AND MAIN RESULTS
2.3 LABEIN TESTS 13
2.3.1 Data
2.3.2 Measurements done before testing 14
2.3.3 done during
2.3.4 Heating procedure 15
2.3.5 Summary of results
2.3.6 Southwell plot method applied to LABEIN tests 21
2.4 CnCMTESTS 24
2.4.1 Data
2.4.2 Measurements done before testing 25 ,
2.4.3 done during 25
2.5 DA TABASE OF TESTS 26
2.5.1 Field Names
2.5.2 Explanations of the database field names 2 7
3. CALCULATION MODELS 37
3.1 COMPARISON BETWEEN NUMERICAL PROGRAMS (SAFIR, CEFICOSS, LENAS,
SISMEF, DIANA)
3.1.1 INTRODUCTION 3 7
3.1.2 Example Definition 7
3.1.3 Simulation Results 40
3.2 NUMERICAL SIMULA TIONS OF THE LABEIN TESTS 41
3.3 BONS OF THE CTICM TESTS. 42
4. SIMULA TIONS 46
4.1 CALCULA ΉΟΝ OF AXIALLY LOADED MEMBERS: A PROPOSAL FOR AN
ANALYnCAL PROPOSAL
4.1.1 INTRODUCTION
4.1.2 THE GENERAL MODEL
4.1.3 THE NUMERICAL SIMULA TIONS IN CASE OF UNIFORM TEMPERA TURE 49
4.1.4 A new proposal based on numerical results 55
4.1.5 Unprotected sections submitted to ISO heating 5 7
4.2 CALCULA ΉΟΝ OF COLUMNS IN COMPRESSION AND BENDING: A FORMULA
FORM-NINTERACnON 59
4.2.1 Sensitiveness analysis of the results in relation to the column discretization 60
4.2.2 Numerical Analysis 64
4.2.3 Determination of a formula for M-N interaction 72
5. CALIBRATION OF THE FORMULAE BY COMPARISON WITH EXPERIMENTAL
RESULTS 83
5.1 INTRODUCTION
5.2 RESULTS OF THE EXPERIMENTAL TESTS 84
5.2.1 Testfrom Borehamwood.
5.2.2 Tests from Gent. 85
5.2.3 from Germany. 86 5.2.4 Test from Rennes. 8 7
5.2.5 Test fromBilbao.88
5.2.6 Summaryoftheavailabletests.89
5.3 CALIBRATION:DETERMINATION OF THE SEVERITY FACTOR89
5.4 INFLUENCEOFTHEYIELDSTRENGTH93
5.5 VERIFICATIONOFTHEPROPOSED FORMULAE IN CASE OF ECCENTRICALLY
LOADED COLUMNS94
6. DESIGN RULES97
6.1 ANALYTICALFORMULA97
6.1.1 Centrallyloadedcolumn97
6.1.2 Eccentrically loaded column95
6.2 DESIGN TABLESWO
6.2.1 Design tables (S235, S355, S460) ι oo
6.3 DESIGN EXAMPLESj 03
6.4 NOMOGRAM¡07
7. CONCLUSIONSW9
8. NOTATIONSm
9. REFERENCES]]5
ANNEX 1 U92139
ANNEX3155 4159
ANNEX51896203
ANNEX 7207 8215
ANNEX 9 247 10251
ANNEX1125912279
ANNEX 13283 14291
ANNEX 15 HI 16317
ANNEX173251. INTRODUCTION
The following financially independent partners have participated in the research:
- ProfilARBED Recherches, Luxembourg and University of Liège (Belgium) as sub­
contractor
- CTICM, France
- TNO, The Netherlands
- LABEIN and ENSIDESA (SPAIN)
The technical coordination has been handled by ProfilARBED Department "Recherches et
Promotion Techniques Structure (RPS)".
It was decided that only one final ECSC report will be written by the leader ProfilARBED-
Recherches. This final report includes the contributions of
- Mr. J.-M Franssen for University of Liège,
- Mr. Azpiazu and Mr. Unanue for LABEIN,
- Mr. Talamona and Mr. Kruppa for CTICM,
- Mr Twilt, Mr Fellinger and Mr. van Foeken for TNO.
This research was composed of an experimental part and a theoretical part divided into three
main subjects
• calculation models
• numerical simulations
• design rules <

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