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Buckling of Tapered Heavy Columns with Constant Volume

Author

Listed:
  • Byoung Koo Lee

    (Department of Civil and Environmental Engineering, Wonkwang University, 460 Iksan-daero, Iksan-si, Jeollabuk-do 54538, Korea)

  • Joon Kyu Lee

    (Department of Civil Engineering, University of Seoul, 163 Seoulsiripdae-ro, Dongdaemun-gu, Seoul 02504, Korea)

Abstract

This paper studies the buckling of standing columns under self-weight and tip load. An emphasis is placed on linearly tapered columns with regular polygons cross-section whose volume is constant. Five end conditions for columns are considered. The differential equation governing the buckling shapes of the column is derived based on the equilibrium equations of the buckled column elements. The governing equation is numerically integrated using the direct integration method, and the eigenvalue is obtained using the determinant search method. The accuracy of the method is verified against the existing solutions for particular cases. The effects of side number, taper ratio, self-weight, and end condition on the buckling load and mode shape are investigated. The contribution of self-weight acting alone to the buckling response is also explored. For a given column volume, especially, the buckling length and its stress distribution of the columns with different geometries and end conditions are estimated.

Suggested Citation

  • Byoung Koo Lee & Joon Kyu Lee, 2021. "Buckling of Tapered Heavy Columns with Constant Volume," Mathematics, MDPI, vol. 9(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:657-:d:520304
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