Buckling of Stepped Columns with Rotated Ends

by Robert E. Sennett, III,
Sidney Shore,

Serial Information: Journal of the Structural Division, 1963, Vol. 89, Issue 1, Pg. 165-178

Document Type: Journal Paper

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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, α, between 0○ and 90○, and for ratios of moments of inertia between 0.2 and 0.8.

Subject Headings: Columns | Inertia | Rotation | Critical loads | Numerical methods | High-rise buildings | Moment (mechanics)

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