MATHEMATICAL EXPRESSIONS FOR THE CIRCULAR ARC METHOD OF STABILITY ANALYSIS

THE CYLINDRICAL FAILURE PLANE IS APPLIED TO THE GENERAL SOLUTION OF THE SLOPE STABILITY PROBLEM. ANALYSES INVOLVING USE OF THE CYLINDRICAL PLANE ARE BASED UPON THE TWO- DIMENSIONAL CASE IN WHICH THE FAILURE SURFACE IS REPRESENTED BY AN ARC OF A CIRCLE (SOMETIMES REFERRED TO AS THE SWEDISH CIRCLE). THE RATIO OF RESISTING MOMENT TO DRIVING MOMENT OR RESISTING FORCE TO DRIVING FORCE IS USED AS A BASIS FOR DESCRIBING THE RELATIVE STABILITY OF THE SOIL LOADING SYSTEM FOR EACH SPECIFIC FAILURE SURFACE. BY SUCCESSIVE TRAILS, THE LOCATION OF THE WEAKEST PLANE CAN BE ESTABLISHED, AND ITS CORRESPONDING MOMENT RATIO SERVES AS AN INDICATION OF ITS FACTOR OF SAFETY. THE EQUATIONS PRESENTED MAY BE USED IN EXPRESSING ANY DESIRED DEFINITION OF FACTOR OF SAFETY APPLIED TO THE CIRCULAR ARC TYPE OF STABILITY ANALYSIS. RIGOROUS MATHEMATICAL EXPRESSIONS ARE PRESENTED WHICH WILL PERMIT DIRECT APPLICATION TO COMPUTER PROGRAMMING AS WELL AS TO ORGANIZED MANUAL COMPUTATION FOR THE DETERMINATION OF THE WEAKEST FAILURE PLANE. BASIC EQUATIONS ARE PRESENTED FOR SOLUTION OF THE SIMPLE STABILITY PROBLEM INVOLVING A CONSTANT EARTH SLOPE OF HOMOGENOUS MATERIAL FOUNDED ON A STRATIFIED SUBSOIL. SOME SPECIAL CASES ARE INVESTIGATED: IRREGULAR OR STRATIFIED SLOPES, THE CONDITION OF TOE FAILURE, DAM ANALYSIS, AND RELATED REFINEMENTS DEMONSTRATING THE FLEXIBILITY OF THE DERIVED EXPRESSIONS.

Media Info

  • Monograph Title: Landslide and foundation investigation and stability analysis
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00235317
  • Record Type: Publication
  • Files: TRIS, TRB
  • Created Date: Aug 19 1994 12:00AM