Tangent Stiffness Equations for Laterally Distributed Loaded Members
Publication: Journal of Engineering Mechanics
Volume 125, Issue 5
Abstract
Tangent stiffness equations for a beam-column, which is subjected to either uniformly or sinusoidally distributed lateral loads, are presented. The equations have been derived by differentiating the slope-deflection equations under axial forces for a member. Thus, the tangent stiffness equations take into consideration axial forces, bowing effect, and laterally distributed loads. As a numerical example, elastic buckling behavior of parallel chord latticed beams with laterally distributed loads is investigated to compare the results obtained from the present method with those from the conventional matrix method in which the distributed loads are considered as a series of concentrated loads at additional intermediate nodes of a member. Furthermore, buckling tests were carried out to confirm the equations derived as well as to clarify the buckling behavior of space frame structures. In conclusion, it can be said that the new equations can provide a good efficient way of estimating the equilibrium paths and buckling loads. They can also lead to a significant savings in core storage and computing time required for the analysis of space frame structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bognar, L., and Strauber, B. G. (1989). “Load-shortening relationships for bars.”J. Struct. Engrg., ASCE, 115(7), 1711–1725.
2.
Livesley, R. K. ( 1964). Matrix methods of structural analysis. Pergamon, Tarrytown, N.Y., 232–237.
3.
McConnel, R. E. (1992). “Force deformation equations for initially curved laterally loaded beam columns.”J. Engrg. Mech., ASCE, 118(7), 1287–1302.
4.
Oran, C. (1973). “Tangent stiffness in space frame.”J. Struct. Div., ASCE, 99(6), 987–1001.
5.
Saafan, S. A. ( 1963). “Nonlinear behavior of structural plane frames.” J. Struct. Dyn., ASCE, 89(4), 557–579.
6.
Saka, T., and Taniguchi, Y. (1992). “Effective strength of squareand-diagonal double layer grid.”J. Struct. Engrg., ASCE, 118(1), 52–72.
Information & Authors
Information
Published In
History
Published online: May 1, 1999
Published in print: May 1999
Authors
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.