ON THE KINETIC BEHAVIOR OF ROADS

AN ANALYSIS IS PRESENTED OF THE KINETIC BEHAVIOR OF A ROAD SUPPORTED BY A UNIFORM SUBGRADE REACTION AND SUBJECT TO VARIOUS BOUNDARY CONDITIONS. THE STATIC BEHAVIOR OF THE ROAD IN RESPONSE TO A SINGLE CENTRALLY LOCATED CONCENTRATED LOAD FORCE IS OBTAINED BY DIRECT INTEGRATION OF A DIFFERENTIAL EQUATION DERIVED TO REPRESENT THE STATIC ROAD MODEL AND BY A DIFFERENCE EQUATION NUMERICAL ANALYSIS TECHNIQUE. IN ADDITION, THE EFFECT OF ROAD WIDTH ON STATIC DEFLECTION PROFILE IS DERIVED ON AN APPROXIMATE BASIS, AND THE DIVISION OF INPUT POTENTIAL ENERGY BETWEEN THE SUBGRADE AND THE PAVEMENT IS DETERMINED AS A FUNCTION OF ROAD WIDTH. THE DIFFERENTIAL EQUATION OF THE ROAD MODEL IS EXTENDED TO INCLUDE TIME AS AN INDEPENDENT VARIABLE, THUS INCLUDING TRANSIENT FORCES IN THE ANALYSIS. THE RESULTANT PARTIAL DIFFERENTIAL EQUATION IS SOLVED, USING DIFFERENCE-DIFFERENTIAL EQUATIONS AND AN ELECTRONIC DIFFERENTIAL ANALYZER, FOR THE DYNAMIC RESPONSE OF THE ROAD TO A STEP FUNCTION OF FORCE. THE ANALYSIS IS SHOWN TO BE VALID FOR ANY ARBITRARY ROAD LOADING FORCE TIME HISTORY. IT IS CONCLUDED FROM THE RESULTS OF THE STUDY THAT PAVED ROADS CAN BE DYNAMICALLY ANALYZED IN MUCH THE SAME MANNER AS THE VEHICLES THAT TRAVERSE THEM HAVE BEEN. THE THEORY PRESENTED IS UNCORROBORATED BY EXPERIMENTAL ANALYSIS, HOWEVER, AND THE NECESSITY OF PERFORMING EXPERIMENTS TO CONFIRM THE THEORY IS SHOWN. SUGGESTED PATHS FOR CONTINUED, MORE COMPREHENSIVE, THEORETICAL AND EXPERIMENTAL ANALYSES ARE PRESENTED. /AUTHOR/

• Record URL:
  https://onlinepubs.trb.org/Onlinepubs/HRBproceedings/40/40-011.pdf
• Supplemental Notes:
  • Vol 40, pp 179-204, 13 FIG, 26 REF. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved.
• Authors:
  • Clark, D C
• Publication Date: 1961

Media Info

• Media Type: Digital/other
• Monograph Title: Proceedings of the Fortieth Annual Meeting of the Highway Research Board, Washington, D.C., January 9-13, 1961.
• Serial:
  • Highway Research Board Proceedings
  • Volume: 40
  • Publisher: Highway Research Board

Subject/Index Terms

• TRT Terms: Coefficient of subgrade reaction; Differential equations; Dynamic loads; Highways; Kinetics; Statics
• Uncontrolled Terms: Dynamic response
• Old TRIS Terms: Static conditions
• Subject Areas: Geotechnology; Highways; Pavements;

Filing Info

• Accession Number: 00205927
• Record Type: Publication
• Files: TRIS, TRB
• Created Date: Jun 5 1972 12:00AM