ANALYSIS OF RIBBED PLATES

EXACT SOLUTIONS ARE FOUND FOR RATIONALLY BASED DISCRETE- CONTINUOUS MODELS OF RECTANGULAR RIBBED PLATES HAVING SIMPLE END SUPPORTS AND FLEXIBLE SIDE SUPPORTS. THE FORMULAS ARE VALID FOR GENERAL LOADINGS AND ARE IMPROVEMENTS OVER THOSE BASED ON ORTHOTROPIC PLATE THEORY IN THAT THE INCONSISTENCIES INHERENT IN THE USE OF AN 'EQUIVALENT CONTINUUM' ARE AVOIDED. THE SOLUTIONS GIVEN FOR MOST CASES ARE DOUBLE FOURIER SERIES (INFINITE WITH RESPECT TO THE CONTINUOUS VARIABLE ALONG THE RIB LINE AND FINITE AND WITH RESPECT TO THE DISCRETE VARIABLE DENOTING THE RIB) PLUS SIMPLE CORRECTIVE TERMS WHERE REQUIRED TO SATISFY SPECIAL BOUNDARY CONDITIONS. FOURTH ORDER MATHEMATICAL MODELS ARE USED FOR A COMPOSITE MEMBRANE ANALYSIS AND A NON-COMPOSITE FLEXURAL ANALYSIS AND A GENERAL EIGHTH ORDER MODEL IS USED FOR A COMPOSITE MEMBRANE-FLEXURAL ANALYSIS. THE PAPER IS SELF-CONTAINED, INCLUDING COMPACT DERIVATIONS OF THE REQUIRED PLANE STRESS AND FLAT PLATE RELATIONS IN THE APPENDICES. THE MAJOR RESULTS ARE NUMERICALLY ILLUSTRATED. /AUTHOR/

• Supplemental Notes:
  • 74 Pp, 6 FiG, 2 TAB, 3 APP
• Corporate Authors:

  North Carolina State University, Raleigh

  School of Engineering
  Raleigh, NC  United States  27695
• Authors:
  • Dean, D L
• Publication Date: 1968-6

Subject/Index Terms

• TRT Terms: Flexure; Fourier series; Mathematical models; Orthotropic; Rectangles; Structural analysis; Structural plates; Theory
• Uncontrolled Terms: Membranes; Plates
• Old TRIS Terms: Membranes (Biology); Ribs (Structural)
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00208878
• Record Type: Publication
• Files: TRIS
• Created Date: Jan 23 1994 12:00AM