CURVATURE AND THE SOLUTION OF ECCENTRICALLY LOADED COLUMNS

THE ECCENTRICALLY LOADED COLUMN OF PERFECTLY PLASTIC MATERIAL HAS BEEN STUDIED ANALYTICALLY IN CONSIDERABLE DETAIL, BUT THE APPROACH TO DATE ALWAYS BEGINS BY SOLVING THE BASIC DIFFERENTIAL EQUATIONS FOR THE DEFLECTION CURVE. SIMPLE ILLUSTRATIONS DEMONSTRATE THAT THE CURVATURE CURVE OF THE COLUMN PLAYS EXACTLY THE SAME ROLE AS DEFLECTION DID, WHILE THE NECESSARY STEPS IN OBTAINING THE SOLUTIONS ARE REDUCED CONSIDERABLY. USING THIS CONCEPT, EXPRESSIONS FOR THE CURVATURE CURVE OF AN ECCENTRICALLY LOADED COLUMN OF RECTANGULAR CROSS-SECTION AT ALL STAGES OF PLASTICITY ARE DERIVED. IT IS SHOWN HOW SOLUTIONS FOR THE CRITICAL LOADS OF THE COLUMN MAY BE OBTAINED DIRECTLY FROM THIS APPROACH. THE ANALYTICALLY OBTAINED RESULTS OF COLUMN CURVES ARE COMPARED WITH THE EXISTING SOLUTIONS. /ASCE/

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Supplemental Notes:
  • Vol 95, No EMI, PROC PAPER 6382, PP 21-40, 9 FIG, 9 REF,
• Authors:
  • Chen, Wai-Fah
  • Santa, THA DA PORN S
• Publication Date: 1969-2

Media Info

• Serial:
  • Journal of Engineering Mechanics
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Columns; Critical values; Curvature; Deflection; Differential equations; Eccentricity; Loads; Mathematical analysis; Plasticity; Plastics
• Uncontrolled Terms: Critical loads; Eccentric loading
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00208972
• Record Type: Publication
• Files: TRIS
• Created Date: Aug 4 1994 12:00AM