TECHNICAL PAPERS
May 1, 1994

Lateral Stiffness of Frames and Effective Length of Framed Columns

Publication: Journal of Structural Engineering
Volume 120, Issue 5

Abstract

After obtaining shear force, which creates unit lateral displacement in columns of a framed system, from an assumed deformation shape, the lateral‐stiffness value of a related story is obtained. By employing these lateral‐stiffness values, a system lateral‐stiffness matrix, which is in banded matrix form, can be established easily. By using this banded matrix, established through the aforementioned method, natural angular frequency and characteristic model shape can be easily obtained. Also presented is a method to calculate the effective length of framed columns by using c factors, which depend on the stiffnesses of columns and girders of the framed system. First‐mode values calculated by the presented method are compatible with classic shear‐beam solutions and exact solutions. Furthermore, results obtained from the application of c factors, giving effective length factors for various end‐connection conditions at the far ends of columns, are on the conservative side compared with exact values.

Get full access to this article

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

References

1.
Aydin, R. (1984). “The investigation under lateral loads of systems comprising frames, walls and walls with openings.” Yayin No. 47, Anadolu Üniversitesi, Eskişehir, Turkey (in Turkish).
2.
Aydin, R. (1987). “The calculation of the vibration modes and periods of distributed and lumped mass systems.” Proc. 3 Yapi Mekanigˇi Semineri, Anadolu Üniversitesi, Eskişehir, Turkey, 283–301.
3.
“Building code requirements for reinforced concrete.” (1983). ACI318‐83, American Concrete Institute, Detroit, Mich.
4.
Çakirogˇlu, A., and Özmen, G. (1962). “Repartition des charges horizontales entre les partiques et les murs en betonarme.” La Technique des Travaux, Juillet‐Aout (in French).
5.
Duan, L., and Chen, W. F. (1989). “Effective length factor for columns in unbraced frames.” J. Struct. Engrg., ASCE, 115(1), 149–165.
6.
Galambos, T. V. (1968). Structural members and frames. Prentice‐Hall International, London, England.
7.
Harrison, H. B. (1980). Structural analysis and design. Pergamon Press, Sydney, Australia.
8.
Muto, K. (1956). “Seismic analysis of reinforced concrete buildings.” Proc. World Conf. on Earthquake Engrg., Earthquake Engineering Research Institute/University of California, Berkeley, Calif., Jun.
9.
Rubinstein, M. F. (1970). Statics, dynamics and stability. Prentice Hall, International, London, England.
10.
Sahmel, P. (1971). “Einfache baustatische Methode zur naeherungsweisen Ermittlung der Knicklaengen von Rahmentragwerken.” Die Bautechnik, Berlin, West Germany, 48, 206–212 (in German).
11.
Specification for the design, fabrication and erection of structural steel for buildings. (1978). American Institute of Steel Construction, Chicago, Ill.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 120Issue 5May 1994
Pages: 1455 - 1470

History

Received: May 28, 1993
Published online: May 1, 1994
Published in print: May 1994

Permissions

Request permissions for this article.

Authors

Affiliations

Ruhi Aydin
Prof. Civ. Engrg. Dept., Anadolu Univ., Müh. Mim. Fakültesi, Inşaat Bl., Yunusemre Kampusu, 26470 Eskişehir, Turkey
Hasan Gönen
Assoc. Prof., Civ. Engrg. Dept., Anadolu Univ., Eskişehir, Turkey

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.

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