THE BEARING CAPACITY OF A FOOTING ON A SOIL (PLANE-STRAIN)

Abstract

A method is outlined for proving the validity of the Prandtl stress solution to the plane-strain problem of a flat rigid punch (or footing). Soils are considered which have cohesions whose angles of internal friction (phi) are less than 75 deg. Limit analysis shows that the Prandtl value is an upper bound for the collapse value of the average pressure over the punch. A statically admissible extension of the Prandtl stress field into the rigid region is obtained so that this value is also a lower bound and is therefore the true value of the average pressure. A perfectly plastic material may be considered as a soil for which phi approaches limit of 0. Analysis shows that the value (2 + pi)k (k designates the shearing stress on a plane of slip) is a lower as well as an upper bound for the collapse value of the average pressure in the indentation of such a material. (See also AD7082)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1953
Accession Number
AD0016275

Entities

People

  • R. T. Shield

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Aeronautics
  • Applied Mathematics
  • Bearing Capacity
  • Bearings
  • Engineering
  • Equations
  • Internal Friction
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • New Jersey
  • New York
  • Ordnance Laboratories
  • Universities

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  • Structural Dynamics.