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Title:

MATHEMATICAL EXPRESSIONS FOR THE CIRCULAR ARC METHOD OF STABILITY ANALYSIS

Accession Number:

00235317

Record Type:

Component

Abstract:

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.

Supplemental Notes:

No 236, pp 39-68, 17 FIG, 6 REF, 1 APP 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.

Monograph Accession #:

01410628

Authors:

Landau, Richard E

Pagination:

30p

Publication Date:

1960

Serial:

Highway Research Board Bulletin

Issue Number: 236
Publisher: Highway Research Board

Media Type:

Digital/other

Uncontrolled Terms:

Cylinders

Old TRIS Terms:

Subject Areas:

Geotechnology; Highways; Safety and Human Factors

Files:

TRIS, TRB

Created Date:

Aug 19 1994 12:00AM

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