SOME CONSIDERATIONS ON THE MODERN BEAM THEORY. THEORETICAL STUDIES

The nature of warping torsion of a slender structural member was studied and a general theory was developed. This theory was based on the lateral-torsional buckling due to arbitrarily distributed thrusts, and lateral loads as well as moments. A general method of solution is proposed for the coupled vibration and buckling problems using normalized eigenfunctions for the beam flexural vibration. Also, the 3D shear deformation problem was examined from the variational point of view. Based on the results of the present studies, a practical finite element method was developed for analysis of complex slender structures. The various chapters of the report describe the following: basis of the modern beam theory; variational formulation of the basic beam problems; modification of the conventional beam theory; stress analysis of thin-walled beams; general method of solutions of the structural problems of a beam; and some verification studies on the proposed beam or column buckling theory.

• Corporate Authors:

  University of Tokyo

  22-1 Roppongi 7 Chome, Minato-ku
  Tokyo 106,   Japan 
• Authors:
  • Kawai, T
  • Fujitani, Y
• Publication Date: 1986-3

Media Info

• Features: Appendices; Figures; References; Tables;
• Pagination: 78 p.
• Serial:
  • Institute of Industrial Science Report
  • Volume: 32
  • Issue Number: 2
  • Publisher: University of Tokyo

Subject/Index Terms

• TRT Terms: Beams; Buckling; Columns; Eigenvalues; Finite element method; Structural analysis; Theory; Thin walls; Thrust; Torsion; Vibration; Warpage
• Uncontrolled Terms: Flexural vibration; Lateral loads; Warping
• Old TRIS Terms: Beam theory
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00457883
• Record Type: Publication
• Report/Paper Numbers: 207
• Files: TRIS
• Created Date: Sep 30 1986 12:00AM