Elastic Stability of Non-Prismatic Columns

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by Frank E. Weisgerber, Univ of Cincinnati, United States,
Khalid Salahuddin, Univ of Cincinnati, United States,

Document Type: Proceeding Paper

Part of: Steel Structures

Abstract: A matrix analysis technique for determining the elastic buckling loads for columns of general form is presented along with several numerical examples. In this technique, a non-prismatic column is modeled as a series of prismatic segments. The ordinary stiffness equations are modified using stability functions which account for the reduction in bending stiffness due to axial compressive forces. An iterative process is used to increase the axial forces until the determinant of the total stiffness matrix vanishes, indicating instability.

Subject Headings: Elastic analysis | Steel structures | Stiffening | Steel columns | Matrix (mathematics) | Steel frames |

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