TECHNICAL PAPERS
Feb 1, 1999

An Improved K-Factor Formula

Publication: Journal of Structural Engineering
Volume 125, Issue 2

Abstract

The effective length factor, K, of a column is dependent on the lateral restraint imposed on it. The sway and no-sway alignment chart K-factors are special cases when the lateral restraint is zero and infinite, respectively. Therefore, they are not directly applicable to practical columns. A general formula is derived that is applicable to columns in fully braced, partially braced, and unbraced frames, i.e., to cases in which the lateral restraint can vary from minus infinity to plus infinity. The advantage of using the formula is demonstrated by comparing it with other methods. For example, the AISC LRFD Specification Commentary does not allow K-factors less than the limit imposed by Eq. C-C2-4b to be used when calculated by means of Eq. C-C2-4a. With the proposed formula this restriction is removed, thereby increasing the design range. It also shows that K-factor formulas based on the stiffness concept become increasingly unconservative as the lateral restraint becomes very large.

Get full access to this article

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

References

1.
Manual of steel construction—load and resistance factor design (LRFD). (1994). Vol. 1. American Institute of Steel Construction (AISC), Inc., Chicago, Ill.
2.
Aristizabal-Ochoa, J. D. (1994). “K-factor for columns in any type of construction: Nonparadoxical approach.”J. Struct. Engrg., ASCE, 120(4), 1273–1290.
3.
Aristizabal-Ochoa, J. D. (1997a). “Story stability of braced, partially braced, and unbraced frames: Classical approach.”J. Struct. Engrg., ASCE, 123(6), 799–807.
4.
Aristizabal-Ochoa, J. D. (1997b). “Elastic stability of beam-columns with flexural connections under various conservative end axial forces.”J. Struct. Engrg., ASCE, 123(9), 1194–1200.
5.
AS4100-steel structures. (1990). Standards Association of Australia, Sydney, Australia.
6.
LeMessurier, W. J. ( 1977). “A practical method for second-order analysis. Part 2—rigid frames.” Engineering J., AISC, 14(2), 49–67.
7.
Lui, E. M. ( 1992). “A novel approach for K-factor determination.” Engineering J., AISC, 29(4), 150–159.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 125Issue 2February 1999
Pages: 169 - 174

History

Published online: Feb 1, 1999
Published in print: Feb 1999

Permissions

Request permissions for this article.

Authors

Affiliations

Francois Cheong-Siat-Moy
Prof. of Civ. Engrg., California State Univ., Sacramento, CA 95819.

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