THE INFLUENCE OF SUPPORT CONDITIONS ON THE BEHAVIOR OF ELASTIC PLATES

THE PURPOSE OF THIS RESEARCH IS TO STUDY THE INFLUENCE OF TYPES OF SUPPORT ON THE BEHAVIOR OF FLEXIBLE PAVEMENT SURFACE LAYERS. THE REPORT PRESENTS THE DEVELOPMENT OF COMPUTER SUBPROGRAMS FOR EVALUATING THE INFINITE INTEGRALS WHICH OCCUR IN TWO PAVEMENT SYSTEM MODELS. THESE ARE A THIN PLATE OF INFINITE EXTENT SYMMETRICALLY LOADED WITH UNIFORM CIRCULAR PRESSURE DISTRIBUTION OVER /1/ A WINKLER FOUNDATION AND /2/ AN ELASTIC HALF SPACE. THE DEFLECTION OF THE PLATE, FOR THE ELASTIC HALF SPACE, AT ANY DISTANCE FROM THE LOAD CENTER IS OBTAINED FROM TABLES OR GRAPHS OF VALUES OF INFINITE INTEGRALS CALLED DEFLECTION COEFFICIENTS. THE COEFFICIENTS WERE OBTAINED BY APPROXIMATING THE INFINITE INTEGRALS NUMERICALLY AND EVALUATING THEM ON A DIGITAL COMPUTER USING FORTRAN LANGUAGE . THE INTEGRAL IS EXPRESSED IN TERMS OF PLATE AND HALF SPACE MODULI, PLATE THICKNESS, RADIUS OF APPLIED LOAD AND DISTANCE FROM THE LOAD CENTER TO THE POINT OF DEFLECTION. THE FIRST AND SECOND DERIVATIVES OF THE DEFLECTION ARE OBTAINED IN ORDER TO DETERMINE THE RADIAL AND TANGENTIAL BENDING MOMENTS IN THE PLATE. THE DERIVATIVES WHICH ALSO CONTAIN INFINITE INTEGRALS WERE EVALUATED ON THE COMPUTER. THE THIRD DERIVATIVE IS LIKEWISE OBTAINED TO DETERMINE THE TRANSVERSE SHEAR FORCE. THE INFINITE INTEGRAL FOR REACTIVE PRESSURE WAS OBTAINED INDIRECTLY FROM THE ORIGINAL DIFFERENTIAL EQUATION GIVEN BY HOLL INSTEAD OF OBTAINING THE FOURTH DERIVATIVE. THE INTEGRAL WAS ALSO APPROXIMATED NUMERICALLY AND EVALUATED ON THE COMPUTER. COMPUTER PROGRAMS AND TABLES FOR DEFLECTION AND MOMENT ARE ALSO GIVEN FOR THE WINKLER CASE. THE INTEGRAL EQUATION FOR THE WINKLER CASE IS JUST A SIMPLIFICATION OF THE ELASTIC HALF SPACE CASE BECAUSE OF THE DIRECT PROPORTIONALITY BETWEEN DEFLECTION AND SUBGRADE REACTION. COMPARISON OF WINKLER AND HALF SPACE COEFFICIENTS WERE MADE' /A/ WINKLER DEFLECTION IS LESS THAN HALF SPACE, /B/ REACTIVE PRESSURES AGREE OUTSIDE RELATIVELY LARGE LOADED AREAS AND DISAGREE BENEATH SMALL LOADED AREAS, /C/ MOMENTS AGREE WELL UNDER ALL LOADING CONDITIONS IMPLYING THAT BOTH SYSTEMS ARE EQUIVALENT AND THAT MOMENT IS INDEPENDENT OF THE SYSTEM USED FOR SIMILAR RELATIVE STIFFNESS RATIOS. /BPR/

  • Supplemental Notes:
    • Hps-hpr-1/21/,BPR NO8,STATE NO R2-23,MIT RES REPR65-10,MAY65
  • Corporate Authors:

    Massachusetts Institute of Technology

    Department of Civil Engineering, 77 Massachusetts Avenue
    Cambridge, MA  USA  02139
  • Authors:
    • Hagstrom, J
    • Chambers, R E
  • Publication Date: 1965-5

Subject/Index Terms

Filing Info

  • Accession Number: 00205337
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Oct 1 1994 12:00AM