BEHAVIOR OF BEAMS ON RANDOMLY NONHOMOGENEOUS BASES

The behavior of infinite beams resting on randomly nonhomogeneous bases is analyzed within the framework of random function theory. The coefficient of soil reaction is described as a random function of the spatial coordinate, and a linearization procedure is used to derive the necessary functional relationship in terms of an implusive load. Once the spectral structure of the solution is constructed, a convenient form for the variance of the settlement is found. This method is applied for 3 basic types of load, including a concentrated load, a concentrated moment, and a uniformly distributed load over a finite length of beam. In all cases a particular family of autocorrelation functions for the coefficient of soil reaction is used to evaluate the influence of the different parameters. Solutions are presented in the form of graphs that give the variance of the settlement at different locations along the beam. Finally, these results are applied to a particular case involving randonmess in both total and differential settlement of an infinite beam that is uniformly loaded over a finite length.

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  • Publication of this paper sponsored by Committee on Mechanics of Earth Masses and Layered Systems. 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.
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• Authors:
  • Krizek, Raymond J
  • Alonso, Eduardo E
• Conference:
  • 53rd Annual Meeting of the Highway Research Board
  • Location: Washington District of Columbia, United States
  • Date: 1974-1-21 to 1974-1-25
• Publication Date: 1974

Media Info

• Media Type: Digital/other
• Features: Figures; References;
• Pagination: pp 77-91
• Monograph Title: SOIL MECHANICS
• Serial:
  • Transportation Research Record
  • Issue Number: 510
  • Publisher: Transportation Research Board
  • ISSN: 0361-1981

Subject/Index Terms

• TRT Terms: Autocorrelation; Beams; Chemical concentration; Deformation; Engineering moments; Heterogeneity; Load transfer; Loads; Properties of materials; Random functions; Samples; Settlement (Structures); Soils
• Uncontrolled Terms: Concentration; Soil deformation; Soil properties
• Old TRIS Terms: Moments
• Subject Areas: Geotechnology; Highways; Materials;

Filing Info

• Accession Number: 00081323
• Record Type: Publication
• ISBN: 0309023548
• Files: TRIS, TRB
• Created Date: Mar 26 1975 12:00AM