Cross-Sectional Imperfections and Column Stability

by Carl E. Kurt, (M.ASCE), Asst. Prof. of Civ. Engrg.; Auburn Univ., Auburn, Ala.,
Roy C. Johnson, (M.ASCE), Asst. Prof. of Civ. Engrg.; Auburn Univ., Auburn, Ala.,

Serial Information: Journal of the Structural Division, 1978, Vol. 104, Issue 12, Pg. 1869-1883

Document Type: Journal Paper


A method to determine the elastic buckling strength of imperfect closed polygon columns has been developed. A set of eight equilibrium equations was developed but was reduced to a set of four equations by eliminating the displacements at a typical midpoint node. Typical corner displacements were expanded by Fourier series and a 4 x 4 stability matrix was obtained. Matrix size was independent of the number of sides of the closed polygon. Design curves are given for representative imperfections and geometric parameters for several different polygon shapes.

Subject Headings: Cross sections | Columns | Displacement (mechanics) | Matrix (mathematics) | Elastic analysis | Buckling | Structural strength | Equilibrium

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