A method for analysing interactive buckling in the elasto-plastic range of thin-walled rectangular sections is outlined. The governing differential equations are presented for solution in incremental form and the yield function and associated flow rule are used to derive tangential elasto-plastic rigidities. The conditions of interaction between adjacent wall elements are considered in detail. The application of dynamic relaxation - the numerical method adopted to solve the governing equations in finite difference form - to the analysis of plate assemblages is described. A simple formulation for fictitious density (an iteration parameter) which involves elastic rigidities only is outlined. Comparison of results with previously obtained experimental values showed good correlation in the case of short sections loaded in compression and with machined rectangular hollow sections loaded in flexure, provided allowance was made for variation in some of the experimental parameters - in particular, yield stress, elastic modulus and inherent residual stress - and the existence of circular rather than right-angled internal corners in the specimens. It is shown that data relating to simply supported isolated plates with unrestrained unloaded edges may be used in the design of square thin-walled sections with varying ratios of flange to web plate thickness loaded in compression even in the presence of welding residual stresses.(a) /TRRL/

Media Info

  • Features: Figures; References; Tables;
  • Pagination: p. 857-874
  • Serial:
    • Volume: 65
    • Issue Number: PA2

Subject/Index Terms

Filing Info

  • Accession Number: 00193944
  • Record Type: Publication
  • Source Agency: Transport Research Laboratory
  • Files: ITRD, TRIS
  • Created Date: Jun 13 1979 12:00AM