TECHNICAL PAPERS
Jun 1, 1995

Behavior of Three-Span Braced Columns with Equal or Unequal Spans

Publication: Journal of Structural Engineering
Volume 121, Issue 6

Abstract

The behavior of uniform, elastic, braced columns with three spans is investigated. The spans may have equal or unequal lengths. The base of the column is pinned and the top is either pinned or flexibly supported. The braces are represented by elastic translational springs, and a compressive axial load is applied to the column. For perfect columns, critical loads and buckling modes are determined. Full bracing is possible if the spans are equal. For imperfect columns with an initial deflection, additional deflections and bracing forces are obtained, and the effects of the stiffnesses and locations of the braces are examined. Examples of design curves for required bracing stiffness and strength are presented. Extensions involving nonuniform loading and cross section, unequal bracing stiffnesses, and rotational resistance at the braces are also discussed. General conditions are derived for full bracing of columns with an arbitrary number of equal or unequal spans and braces, and with uniform or piecewise-constant loading and cross section. The corresponding critical loads are found, and equations and simple bounds for ideal bracing stiffnesses are given.

Get full access to this article

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

References

1.
Beliveau, J.-G., and Zhang, H.-Y. (1991). “Minimum required lateral stiffness of structures.”Mechanics computing in 1990's and beyond, Vol. 1, H. Adeli and R. L. Sierakowski, eds., ASCE, New York, N.Y., 223–227.
2.
Galambos, T. V., ed., (1988). Guide to stability design criteria for metal structures. 4th Ed., John Wiley, New York, N.Y.
3.
Lutz, L. A., and Fisher, J. M.(1985). “A unified approach for stability bracing requirements.”Engrg. J., Am. Inst. of Steel Constr., 22(4), 163–167.
4.
McGuire, W. (1968). Steel structures . Prentice-Hall, Englewood Cliffs, N.J.
5.
Medland, I. C.(1977). “A basis for the design of column bracing.”Struct. Engr., 55(7), 301–307.
6.
Nair, R. S.(1992). “Forces on bracing systems.”Engrg. J., Am. Inst. of Steel Constr., 29(1), 45–47.
7.
O'Connor, C. (1979). “Imperfectly braced columns and beams.”Civ. Engrg. Trans., Inst. Engrs., Australia, CE21(2), 69–74.
8.
Olhoff, N., and Åkesson, B.(1991). “Minimum stiffness of optimally located supports for maximum value of column buckling loads.”Struct. Optimization, 3(3), 163–175.
9.
Plaut, R. H.(1993). “Requirements for lateral bracing of columns with two spans.”J. Struct. Engrg., ASCE, 119(10), 2913–2931.
10.
Plaut, R. H., and Yang, J.-G.(1993). “Lateral bracing forces in columns with two unequal spans.”J. Struct. Engrg., ASCE, 119(10), 2896–2912.
11.
Rutenberg, A., and Scarlat, A.(1990). “Roof bracing and effective length of columns in one-story industrial buildings.”J. Struct. Engrg., ASCE, 116(10), 2551–2566.
12.
Salmon, C. G., and Johnson, J. E. (1990). Steel structures: Design and behavior . 3rd Ed., Harper & Row, New York, N.Y.
13.
Smith, G. D. (1985). Numerical solution of partial differential equations: Finite difference methods . 3rd Ed., Clarendon Press, Oxford, U.K.
14.
Stanway, G. S., Chapman, J. C., and Dowling, P. J.(1992). “A simply supported imperfect column with a transverse elastic restraint at any position. Part 2: Design models.”Proc., Institution of Civil Engineers, Structures and Buildings, London, England, 94(2), 217–228.
15.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability . 2d Ed., McGraw-Hill, New York, N.Y.
16.
Trahair, N. S., and Nethercot, D. A. (1984). “Bracing requirements in thin-walled structures.”Developments in thin-walled structures—2, J. Rhodes and A. C. Walker, eds., Elsevier, London, 93–130.
17.
Urdal, T. B.(1969). “Bracing of continuous columns.”Engrg. J., Am. Inst. Steel Constr., 6(3), 80–83.
18.
Winter, G.(1960). “Lateral bracing of columns and beams.”Trans., ASCE, 125(1), 807–845.
19.
Yang, Y.-W. (1993). “Behavior of three-span braced columns with equal and unequal spans,” MS thesis, Virginia Polytechnic Institute and State University, Blacksburg, Va.
20.
Zhang, H.-Y., Beliveau, J.-G., and Huston, D. R.(1993). “Minimum lateral stiffness for equally spaced braces in columns.”J. Engrg. Mech., ASCE, 119(9), 1888–1897.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 121Issue 6June 1995
Pages: 986 - 994

History

Published online: Jun 1, 1995
Published in print: Jun 1995

Permissions

Request permissions for this article.

Authors

Affiliations

Raymond H. Plaut, Member, ASCE
Daniel H. Pletta Prof. of Engrg., Charles E. Via, Jr., Dept. of Civ. Engrg., Virginia Polytech. Inst. and State Univ., Blacksburg, VA 24061-0105.
Yu-Wen Yang
Grad. Student, Charles E. Via, Jr., Dept. of Civ. Engrg., Virginia Polytech. Inst. and State Univ., Blacksburg, VA.

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