Research Article
Feb 1963

Buckling of Stepped Columns with Rotated Ends

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Publication: Journal of the Structural Division
Volume 89, Issue 1

Abstract

Presented is an approximate solution to the problem of determining critical buckling loads for long columns with abrupt changes in inertia properties at the ends. The ends of the column are pinned; however, the axes of the pins are not parallel. The solution is obtained by using the theorem of minimum potential energy. Numerical solutions presented compare favorably with exact solutions for cases in which the ratio of moments of inertia of the center section to the end sections is greater than 0.2. Results are presented in the form of graphs for angles of rotation, ?, between 0? and 90?, and for ratios of moments of inertia between 0.2 and 0.8.

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Published In

Journal of the Structural Division
Volume 89Issue 1February 1963
Pages: 165 - 178

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Published in print: Feb 1963
Published online: Feb 1, 2021

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Robert E. Sennett III
Research Engr., Dyna/Structures, Inc., Cons. in Applied Mechanics, Springfield, Pa.
Sidney Shore, F.ASCE
Prof. and Chmn., Graduate Div. of Civ. Engrg., Univ. of Pennsylvania, Philadelphia, Pa.

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