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<p>The buckling of columns is an important factor in the design of structures. One of the relevant solutions for this problem is Rayleigh’s method. It was originally formulated to study the vibrations of elastic systems, and it can be used directly also to determine the critical buckling load. This method transforms continuous systems to an equivalent system of a single degree of freedom. In this work, Rayleigh’s method is used to find closed-form equations for the critical buckling load of four types of columns under the simultaneous action of top concentrated and distributed load along their length. Prismatic cross section elements are evaluated. Known exact and approximate values from the literature are compared to the current results.</p>

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Closed-form approximate buckling analysis of prismatic columns with combined top and distributed loading

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Alexandre de Macêdo Wahrhaftig,
  • Moshe Eisenberger,
  • Ana Paula Freitas Borges

摘要

The buckling of columns is an important factor in the design of structures. One of the relevant solutions for this problem is Rayleigh’s method. It was originally formulated to study the vibrations of elastic systems, and it can be used directly also to determine the critical buckling load. This method transforms continuous systems to an equivalent system of a single degree of freedom. In this work, Rayleigh’s method is used to find closed-form equations for the critical buckling load of four types of columns under the simultaneous action of top concentrated and distributed load along their length. Prismatic cross section elements are evaluated. Known exact and approximate values from the literature are compared to the current results.