THEORY OF PLATES AND SHELLS: BENDING MOMENTS IN A SIMPLY SUPPORTED RECTANGULAR PLATE WITH A CONCENTRATED LOAD

A MATHEMATICAL ANALYSIS IS CONDUCTED TO DETERMINE THE BENDING MOMENT ALONG THE CENTRAL AXIS OF A LOADED PLATE. THE DEFLECTION OF AN INFINITELY LONG PLATE IS DERIVED TO OBTAIN THE EXPRESSIONS FOR BENDING MOMENTS IN THE VICINITY OF THE POINT OF APPLICATION OF THE LOAD. FROM A COMPARISON OF A LONG RECTANGULAR PLATE WITH A CIRCULAR PLATE, IT IS CONCLUDED THAT ALL INFORMATION REGARDING THE LOCAL STRESSES AT THE POINT OF APPLICATION, DERIVED FOR A CIRCULAR PLATE BY USING THE THICK-PLATE THEORY, CAN ALSO BE APPLIED IN THE CASE OF A LONG RECTANGULAR PLATE. THE STRESS DISTRIBUTION NEAR THE POINT OF APPLICATION OF THE LOAD IS SUBSTANTIALLY THE SAME AS FOR A CENTRALLY LOADED CIRCULAR PLATE. THE DISTRIBUTION OF THE BENDING MOMENTS AND REACTIVE PRESSURES IN THE PARTICULAR CASE OF A SQUARE PLATE WITH A CENTRAL LOAD IS PRESENTED IN A FIGURE.

  • Corporate Authors:

    McGraw-Hill, Incorporated

    330 West 42nd Street
    New York, NY  USA  10036
  • Authors:
    • Timoshenko, S
    • Woinowsky-krieger, S
  • Publication Date: 1959

Subject/Index Terms

Filing Info

  • Accession Number: 00208543
  • Record Type: Publication
  • Report/Paper Numbers: Engineering Soc Monographs
  • Files: TRIS
  • Created Date: Jul 15 1994 12:00AM