TECHNICAL PAPERS
Oct 1, 2001

Basis and Application of Simple Interaction Formula for Steel Frames under Fire Conditions

Publication: Journal of Structural Engineering
Volume 127, Issue 10

Abstract

For a long time, the Rankine method has been applied successfully to steel columns and frames subjected to increasing loads but maintained at constant ambient temperature. This paper extends the Rankine formula to frames under fire conditions. An original theoretical derivation of the formula, which is general and based on the virtual work principle, is provided in this paper. A simple expression has also been derived for the buckling coefficient of frames under fire conditions, which takes the deterioration of steel properties at elevated temperature into consideration. Comparison of test results shows that the Rankine formula yields very good predictions of critical temperatures of frames, with a mean value of 1.01 and a coefficient of variation of 9.2% for a total of 18 frames. Most importantly, it is shown that the fire resistance of steel frames can be obtained from the conventional frame analysis performed at ambient temperature.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
British Standards Institution (BSI). ( 1990). “Structural use of steelwork in building. Part 1: Code of practice for design in simple and continuous construction: Hot rolled sections.” BS 5950, London.
2.
Comité Européen de Normalisation (CEN). ( 1992). “Eurocode 3: Design of steel structures. Part 1.1: General rules and rules for building.” ENV 1993-1-2, European Committee for Standardization, Brussels.
3.
Comité Européen de Normalisation (CEN). ( 1995). “Eurocode 3: Design of steel structures. Part 1.2: General rules—Structural fire design.” ENV 1993-1-1, European Committee for Standardization, Brussels.
4.
Horne, M. R. ( 1963). “Elastic-plastic failure loads of plane frames.” Proc., Royal Soc., London, 274(A), 343–364.
5.
Horne, M. R. ( 1979). Plastic theory of structures, 2nd Ed., Pergamon, Oxford.
6.
Horne, M. R., and Merchant, W. ( 1965). The stability of frames, Pergamon, Oxford.
7.
Merchant, W. ( 1954). “The failure loads of rigid jointed frameworks as influenced by stability.” The Struct. Engr., London, 32(3) 185–190.
8.
Rankine, W. W. M. ( 1908). Useful rules and tables, Charles Griffin & Co., London.
9.
Rubert, A., and Schaumann, P. ( 1986). Structural steel and plane frame assemblies under fire action.” Fire Safety J., 10(3), 173–184.
10.
Tang, C. Y. ( 2000). “Behavior of steel structures in fire conditions.” Final Year Proj., School of Civ. and Struct. Engrg., Nanyang Technological University, Singapore.
11.
Tang, C. Y., Tan, K. H., and Ting, S. K. (2001). “Basis and application of a simple interaction formula for steel columns under fire conditions.”J. Struct. Engrg., ASCE.
12.
Toh, W. S., Tan, K. H., and Fung, T. C. (2000). “Compressive resistance of steel columns in fire: The Rankine approach.”J. Struct. Engrg., ASCE, 126(3), 398–405.
13.
Toh, W. S., Tan, K. H., and Fung, T. C. (2001). “Strength and stability of steel frames in fire: The Rankine approach.”J. Struct. Engrg., ASCE, 127(4), 461–469.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 127Issue 10October 2001
Pages: 1214 - 1220

History

Received: Jul 18, 2000
Published online: Oct 1, 2001
Published in print: Oct 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Affiliate, ASCE
Member, ASCE
M. Engr., Nanyang Technol. Univ., School of CSE, BLK N1, No. B4-04, Nanyang Ave., Singapore 639798.
Assoc. Prof., Nanyang Technol. Univ., School of CSE, BLK N1, No. 01c-97, Nanyang Ave., Singapore 639798.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share