ANALYSIS OF SLAB-STRINGER-DIAPHRAGM SYSTEMS - FINAL REPORT - PART III

EXACT SOLUTIONS ARE FOUND FOR RATIONALLY BASED MATHEMATICAL MODELS FOR RECTANGULAR SLAB-STRINGER-DIAPHRAGM BRIDGE FLOOR SYSTEMS WITH SIMPLE END SUPPORTS AND FLEXIBLE SIDE SUPPORTS. THE FORUMULAS ARE VALID FOR GENERAL LOADINGS AND ARE IMPROVEMENTS OVER THOSE BASED ON THE EMPORICAL "EQUIVALENT ORTHOTROPIC CONTINUM" METHOD AND/OR THE APPROXIMATE FINITE ELEMENT METHOD. THE SOLUTIONS ARE IN THE FORM OF DOUBLE FOURIER SERIES THAT ARE INFINITE WITH RESPECT TO THE CONTINUOUS VARIABLE ALONG THE STRINGER-SLAB CONTACT LINES AND FINITE WITH RESPECT TO THE DISCRETE VARIABLE DENOTING THE STRINGER. AN EXACT MACRO DISCRETE FIELD APPROACH IS USED. THE MATHEMATICAL MODELS ARE SUMMATION-INTEGRAL EQUATIONS FOR THE UNKNOWN DISCRETE-CONTINUOUS FIELDS OF INTERACTIVE FORCES. THIS IS IN CONTRAST TO THE COMPETING MICRO DISCRETE FIELD APPROACH IN WHICH THE MATHEMATICAL MODELS ARE DIFFERENCE-DIFFERENTIAL EQUATIONS FOR THE UNKNOWN FIELDS OF NODE LINE DEFORMATIONS THREE TYPES OF SOLUTIONS FOR SLAB-STRINGER-DIAPHRAGM BRIDGE FLOOR SYSTEM MODELS ARE GIVEN: (1) THE NON-COMPOSITE FLEXURAL ANALYSIS; (2) THE COMPOSITE MEMBRANE ANALYSIS; AND (3) THE COMPOSITE MEMBRANE-FLEXURAL ANALYSIS. ALSO INCLUDED ARE SPECIAL FORMULAS FOR SYSTEMS WITH SIMPLE SIDE SUPPORTS AND MACRO DERIVED ALTERNATIVES TO PREVIOUSLY PUBLISHED FORMULAS FOR RIBBED PLATES. THE PAPER IS SELF-CONTAINED, INCLUDING COMPACT DERIVATIONS OF THE REQUIRED PLANE STRESS AND FLAT PLATE KERNEL FUNCTIONS AND BOUNDARY FUNCTIONS IN THE APPENDICES. SOME OF THE RESULTS ARE NUMERICALLY ILLUSTRATED. /AUTHOR/

• Supplemental Notes:
  • 65 Pp, 3 FiG, 4 APP, 12 REF
• Corporate Authors:

  North Carolina State University, Raleigh

  School of Engineering
  Raleigh, NC  United States  27695
• Authors:
  • Dean, D L
• Publication Date: 1970-6

Subject/Index Terms

• TRT Terms: Analysis; Bridge decks; Diaphragms (Engineering); Integral equations; Loads; Mathematical models; Slabs; Stringers; Structural supports
• Uncontrolled Terms: Loading
• Old TRIS Terms: Diaphragms; Supports
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00209350
• Record Type: Publication
• Files: TRIS
• Created Date: Dec 7 1970 12:00AM