Stability of Built‐up Columns
Publication: Journal of Engineering Mechanics
Volume 117, Issue 6
Abstract
The buckling of columns with finite shear stiffness such as built‐up and laced columns is investigated. The methods of analysis associated with Engesser and Haringx are compared. The difference between the methods can be traced to the direction of the axial force and the shear force used in the analysis. It is concluded that when the usual shear stiffness of the column is used, the Engesser method is the correct one for columns modeled as continuous Timoshenko shear beams. The appropriate method to use for helical springs is not investigated. The effect of the shear stiffness on the column buckling load for the usual standard boundary conditions is also presented analytically, and in the form of graphs.
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References
1.
Bažant, Z. P. (1971). “A correlation study of formulations of incremental deformations and stability of continuous bodies.” J. Appl. Mech. Trans. ASME, Dec., 919.
2.
Biezeno, C. B., and Koch, J. J. (1925). “Knickung von Schraubenfedern.” Zeitschrift der Angewandte Mathematik und Mechanik, 5, 279.
3.
Bleich, F. (1952). Buckling strength of metal structures. McGraw‐Hill Book Co., N.Y., 23, 167.
4.
Engesser, F. (1889). “Die Knickfestigkeit gerader Stäbe.” Zeitschrift des Architekten und Ingenieur Vereins zu Hannover, 35, 455.
5.
Engesser, F. (1891). “Die Knickfestigkeit gerader Stäbe.” Zeutralblatt der Bauverwaltung, 11(49), 483.
6.
Gjelsvik, A. (1990). “Buckling of built‐up columns with or without stay plates.” J. Engrg. Mech., ASCE, 116(5), 1142.
7.
Guide to stability design criteria for metal structures. (1976). John Wiley and Sons, New York, N.Y., 359.
8.
Haringx, J. A. (1948). “On highly compressible helical springs and rubber rods, and their application for vibration—free mountings.” Part I, Philips Res. Report 3, Philips Gloeilampenfabrieken, Eindhoven, the Netherlands, 104.
9.
Lin, F. J., Glauser, E. C., and Johnston, B. G. (1970). “Behaviour of laced and battened structural members.” J. Struct. Div., ASCE, 7, 1377.
10.
Nänni, J. (1971). “Das Eulersche Knickproblem unter Berücksichting der Querkrafte.” Zietschrift für Angewandte Mathematik und Physik, Birkhäuser, Basel, Switzerland, 22, 156.
11.
Timoshenko, S. P. (1921). “On the correction for shear of the differential equation of transverse vibrations of prismatic bars.” Philos. Mag., 21, 747.
12.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw‐Hill Book Co., New York, N.Y., 132, 142.
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Copyright © 1991 ASCE.
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Published online: Jun 1, 1991
Published in print: Jun 1991
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