DETERMINATION OF THE COLLAPSE LOAD OF FOOTINGS USING THE CALCULUS OF VARIATIONS

DETERMINACION DE LA CARGA DE HUNDIMIENTO DE ZAPATS MEDIANTE EL CALCULO DE VARIACIONES

The majority of methods used for determining the collapse load of a foundation footing (Terzaghi, Meyerhof, etc) are based on the theory of the limiting equilibrium. However, such methods generally assume that the line or lines of failure belong to a particular family (straight lines, circular ones, logarithmic spirals, etc), chosen arbitrarily or for the convenience of the resulting analytical calculations. However, the calculus of variations enables one to work with a much wider range of lines of failure, subject only to the condition that they be continuous and sufficiently smooth. That eliminates the element of arbitrariness and achieves a fuller analysis of the problem. In this work the calculus of variations is applied to the determination of the collapse loads of foundation footings, both flexible and rigid footings being considered. The approach to the problem follows the models of Janbu and of Baker and Garber. In the special case of Janbu's model, values are obtained for nc and nq and compared with the classical values, and a substantial degree of similarity is achieved, specially with the Terzaghi values. /TRRL/

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  • Corporate Authors:

    Laboratorio del Transporte y Mecanica del Suelo

    Alfonso XII
    Madrid, ZZ Espagne   
  • Authors:
    • Luceno, A
    • Castillo, E
  • Publication Date: 1978-1-2

Language

  • Spanish

Media Info

  • Features: Figures; References;
  • Pagination: p. 3-7
  • Serial:
    • Boletin de Informacion
    • Issue Number: 125
    • Publisher: Institute of Civilian Engineers of Spain
    • ISSN: 0210-9085

Subject/Index Terms

Filing Info

  • Accession Number: 00196713
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Oct 17 1979 12:00AM