ANALYSIS OF RIGID FRAMES BY SUPERPOSITION

THE USEFULNESS IS DEMONSTRATED ON THE PRINCIPLE OF SUPERPOSITION IN THE ANALYSIS OF RIGID FRAMES BY THE SLOPE- DEFLECTION AND MOMENT DISTRIBUTION METHODS. A NUMBER OF EXAMPLES ARE PRESENTED TO SHOW HOW THE PRINCIPLE MAY BE USED TO ADVANTAGE IN ITS APPLICATION TO A VARIETY OF PROBLEMS. THE PRINCIPLE OF SUPERPOSITION IS USUALLY STATED IN TEXT BOOKS ON STRUCTURAL ANALYSIS, BUT IN THE AUTHOR'S OPINION ITS APPLICATION IS NOT EMPHASIZED TO THE EXTENT THAT ITS IMPORTANCE WARRANTS. IN THE STUDY OF CONTINUOUS STRUCTURES, IN PARTICULAR, A THOROUGH WORKING KNOWLEDGE OF THIS PRINCIPLE IS INDISPENSABLE. NO NEW METHOD OF ANALYSIS IS PROPOSED IN THIS PAPER. INSTEAD, A METHOD OF PROCEDURE IS OUTLINED WHICH COORDINATES THE PRINCIPLE OF SUPERPOSITION WITH EXISTING METHODS AND, AT THE SAME TIME, PLACES EMPHASIS WHERE IT PROPERLY BELONGS. THE SCOPE OF THIS PAPER IS LIMITED TO THE ANALYSIS OF FRAMES IN WHICH APPLIED LOADS CAUSE LINEAR DISPLACEMENTS OF THE JOINTS IN ADDITION TO ANGULAR DISPLACEMENTS (ROTATION) AND CONSEQUENT ANGULAR DISPLACEMENTS OF THE MEMBERS. IT IS ASSUMED THAT EACH MEMBER OF ANY FRAME CONSIDERED HAS CONSTANT SECTION THROUGHOUT ITS LENGTH. HOWEVER, THE METHOD OF PROCEDURE WHICH IS PRESENTED IS GENERAL, SINCE IT IS BASED UPON FUNDAMENTAL PRINCIPLES. THIS METHOD CAN BE APPLIED WITH LITTLE ADDITIONAL LABOR TO THE ANALYSIS OF FRAMES HAVING MEMBERS OF VARYING SECTION AFTER FIXED-END MOMENTS, CARRY-OVER FACTORS AND STIFFNESS VALUES HAVE BEEN EVALUATED. /ASCE/

  • Supplemental Notes:
    • Vol 110, PaPER NO 2262, PP 1489-1508
  • Authors:
    • Wilson, D M
  • Publication Date: 1945

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  • Accession Number: 00208530
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 10 1994 12:00AM