FORMULATION OF STIFFNESS MATRICES FOR ELASTIC BUCKLING OF THIN-WALLED OPEN SECTION PRISMATIC COLUMNS

The purpose of this report is to investigate the effect of large displacements from the point of fundamentals and to predict the correct failure mode of columns (I e buckling loads and their associated modes) with the inclusion of variable torsional and bimoment loads into the generalized loading vector. A finite element procedure was developed for solving large displacement problems of beams and frames, so that a structure with arbitrary geometry, complex loading and boundary conditions can be treated. The conventional stiffness formulation for small deflection is modified by the effect of axial shortening due to (a) direct compression, (b) lateral bending, (c) flexural-torsion. This is incorporated in a geometric (incremental) stiffness formulation. The non-linear load displacement path is traced by a linearised mid-point tangent predictor procedure together with co-ordinate transformation at every increment in load. (TRRL)

• Corporate Authors:

  Loughborough University of Technology

  Department of Transport Technology
  Loughborough,   England 
• Authors:
  • Sharman, P W
  • Nanayakkara, M A
• Publication Date: 1984-2

Media Info

• Features: Figures; References;
• Pagination: 59 p.

Subject/Index Terms

• TRT Terms: Beams; Bending; Buckling; Calculation; Columns; Compression; Deflection; Deformation; Elastic deformation; Failure; Finite element method; Flexure; Forecasting; Loads; Mathematical models; Mechanical elasticity; Metal bars; Motion; Prisms; Shear strength; Stiffness; Thin walls; Torsion
• Old TRIS Terms: Elastic phenomena; Load deflection
• ITRD Terms: 3461: Bar; 3472: Beam; 5522: Buckling; 6464: Calculation; 5586: Deflection; 5595: Deformation; 5912: Elasticity; 6490: Finite element method; 5567: Load; 6473: Mathematical model; 5483: Movement; 5531: Shear; 5931: Stiffness; 5512: Torsion
• Subject Areas: Highways; Vehicles and Equipment; I91: Vehicle Design and Safety;

Filing Info

• Accession Number: 00389534
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• Report/Paper Numbers: TT 8402 Monograph
• Files: ITRD, TRIS
• Created Date: Oct 30 1984 12:00AM