EXTREME-VALUE PROBLEMS OF LIMITING EQUILIBRIUM. DISCUSSION AND CLOSURE

Barron notes some omissions from the original paper which he feels compromise its utility for most engineers. No list of assumptions is given (e.g., the strength parameters are not defined), and no illustrative examples are provided. Neither comparison with the results of others nor discussion indicating the influence of the soil stress-strain properties on the validity of the method is included. The author reply that the original draft was more detailed but had to be shortened due to space limitations. Luceno and Castillo provide an example to support their contention that the extreme problem is incorrectly stated since the extremization parameter is, in general, unbounded and that, therefore, there exists a pair of functions y(x) and sigma (x) giving a safety factor as small as desired. The authors reply that Luceno and Castillo fail to take into account natural restrictions on the value of the safety factor and on the character of the sigma (x) function. When these are taken into account, the example cited yields a safety factor of not less than 4 and not the 1.8 previously stated. Izbicki's contribution to the discussion is an analysis of the authors' method from the standpoint of the limit analysis approach.

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• Corporate Authors:

  American Society of Civil Engineers

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• Authors:
  • Garber, M
  • Baker, R
• Discussers:
  • Barron, R A
  • Izbicki, R J
  • Luceno, A
  • Castillo, E
• Publication Date: 1981-1

Media Info

• Features: Figures; References;
• Pagination: p. 115-123
• Serial:
  • Journal of Geotechnical and Geoenvironmental Engineering
  • Volume: 107
  • Issue Number: GT1
  • Publisher: American Society of Civil Engineers
  • ISSN: 1090-0241
  • Serial URL: http://ojps.aip.org/gto

Subject/Index Terms

• TRT Terms: Deformation curve; Equilibrium (Mechanics); Safety factors; Slope stability; Soil mechanics; Ultimate load design
• Old TRIS Terms: Limits
• Subject Areas: Geotechnology; Highways; Safety and Human Factors; I42: Soil Mechanics;

Filing Info

• Accession Number: 00330608
• Record Type: Publication
• Report/Paper Numbers: ASCE 16000
• Files: TRIS
• Created Date: Oct 28 1981 12:00AM