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  United States  10036
• Authors:
  • Timoshenko, S
  • Woinowsky-krieger, S
• Publication Date: 1959

Subject/Index Terms

• TRT Terms: Bending moments; Circles; Deflection; Deformation curve; Loads; Mathematical analysis; Plate bearing test; Rectangles; Structural plates; Theory
• Uncontrolled Terms: Plates; Thick plates
• Subject Areas: Bridges and other structures; Highways;

Filing Info

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