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Exact Solution for Buckling of Columns Including Self-Weight
Authors:W. H. Duan  C. M. Wang
Affiliation:1Graduate Student, Dept. of Civil Engineering, National Univ. of Singapore, Kent Ridge, Singapore 119260; presently, Postdoctoral Fellow, Dept. of Civil Engineering, National Univ. of Singapore, Kent Ridge, Singapore 119260. E-mail: duan_wenhui@alumni.nus.edu.sg
2Professor, Dept. of Engineering Science and Civil Engineering, National Univ. of Singapore, Kent Ridge, Singapore 119260 (corresponding author). E-mail: cvewcm@nus.edu.sg
Abstract:In this technical note, analytical solutions for the elastic buckling of heavy columns with various combinations of end conditions are derived, for the first time, in terms of generalized hypergeometric functions. The benchmark solutions may be used to assess the accuracy of approximate formulas and numerical solutions.
Keywords:Columns  Buckling  Numerical models  Axial loads  Weight  
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