THE USE OF THE SECTOR METHOD FOR CALCULATING STRESSES AND DISPLACEMENTS IN AN ELASTIC MASS

FOR THE CALCULATION OF STRESSES AND DISPLACEMENTS IN AN ELASTIC MASS DUE TO ANY GENERAL SHAPE OF LOADED AREA, A METHOD, TERMED THE "SECTOR METHOD", IS DESCRIBED WHICH HAS ADVANTAGE OVER OTHER EXISTING METHODS OF COMPUTATION. IT IS BASED ON THE SUPERPOSITION OF SMALL-ANGLED SECTORS OVER THE REQUIRED SHAPE OF LOADED AREA, EACH SECTOR EMANATING FROM AN APEX WHICH LIES ON THE SAME VERTICAL LINE AS THE POINT AT WHICH THE STRESS OR DISPLACEMENT IS REQUIRED. THE INFLUENCE FACTOR FOR THE WHOLE LOADED AREA IS OBTAINED BY SUMMATION OF THE INFLUENCE FACTORS FOR EACH OF THE SECTORS. THESE SECTOR INFLUENCE FACTORS ARE OBTAINED FROM "SECTOR CURVES" WHICH RELATE THE INFLUENCE FACTOR FOR THE STRESS OR DISPLACEMENT AT OR BENEATH THE APEX OF THE SECTOR TO THE RELATIVE SIZE OF THE SECTOR, AND CAN BE OBTAINED BY INTEGRATION OF THE POINT LOAD VALUES OVER A UNIFORMLY LOADED SECTOR OF SMALL ANGLE. SOME EXAMPLES OF SECTOR CURVES FOR THE CASE OF VERTICAL LOADING OF A SEMI-INFINITE MASS ARE GIVEN IN THE PAPER. /A/RRL/

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Filing Info

  • Accession Number: 00234861
  • Record Type: Publication
  • Source Agency: Road Research Laboratory /UK
  • Files: TRIS
  • Created Date: Apr 27 1970 12:00AM