Linear Stability Analysis of Beam Columns

by Negussie Tebedge, (A.M.ASCE), Struct. Engr.; CTICM, Paris, France,
Lambert Tall, (M.ASCE), Prof. of Civ. Engrg., and Dir.; Div. for Fatigue and Fracture, Leigh Univ., Bethlehem, PA,


Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 12, Pg. 2439-2457


Document Type: Journal Paper

Discussion: Barsoum Roshdy S. (See full record)
Discussion: Rajasekaran Sundaramoorthy (See full record)

Abstract: A finite element formulation is presented for the stability analysis of beam columns and its application is demonstrated as a practical tool for direct use by researchers and designers. A systematic procedure, based on a displacement formulation, is developed to evaluate the geometric stiffness matrices for beam columns for large axial, lateral and torsional displacements. The finite element solutions are compared to analytical solutions for a variety of problems, e.g., columns under distributed axial loads, tapered columns, columns imbedded in an elastic medium, pretwisted columns, lateral-torsional buckling of beam columns, and space frames. In all cases, a good convergence is observed and satisfactory accuracy is obtained by using few elements. The required computational effort is found to be minimal.

Subject Headings: Beam columns | Finite element method | Displacement (mechanics) | Torsion | Elastic analysis | Axial loads | Space frames | Linear analysis

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