BUCKLING OF CYLINDERS IN A CONFINING MEDIUM

A LARGE-DEFLECTION THEORY IS PRESENTED FOR DEFINING THE CRITICAL RADIAL PRESSURES THAT RESULT IN THE BUCKLING OF ELASTICALLY SUPPORTED HOMOGENEOUS CYLINDERS WITH SIMPLE ENDS. SOLUTIONS ARE GIVEN FOR RADIAL SUPPORT AROUND THE EXTRADOS AND FOR RADIAL SUPPORT ONLY ON THE OUTWARD ACTING LOBES OF THE CIRCUMFERENTIAL WAVES THAT FORM ON LOADING. IT IS SHOWN THAT THE DIFFERENCE BETWEEN THE ENERGY LOAD AND THE EULER LOAD IS A MAXIMUM FOR CYLINDERS WITH NO RADIAL SUPPORT AND THAT THE ENERGY LOAD APPROACHES THE EULER LOAD AS THE LENGTH-TO-RADIUS RATIO AND THE FOUNDATION COEFFICIENT DECREASE AND AS THE RADIUS-TO-THICKNESS RATIO INCREASES. CRITICAL PRESSURES ARE GREATER FOR CYLINDERS SUPPORTED AROUND THE ENTIRE EXTRADOS THAN FOR CYLINDERS SUPPORTED ONLY ON THE OUTWARD DISPLACING LOBES. PRACTICAL UTILITY OF THE THEORY IS FOUND IN ITS APPLICATION TO CONDUITS AND CYLINDRICAL PROTECTIVE STRUCTURES BURIED IN SOIL FIELDS. FOR SUCH APPLICATIONS, THE EQUATION DEFINING THE LOWER BOUND OF BUCKLING IS MODIFIED TO PERMIT ONE TO ACCOUNT FOR THE INFLUENCE OF THE SURFACE BOUNDARY AND TO INCLUDE SOIL PARAMETERS THAT ARE READILY OBTAINABLE IN THE LABORATORY. A FEW TESTS WERE PERFORMED TO CHECK THE THEORY. THE RESULTS OF THESE TESTS AND OTHER AVAILABLE DATA AGREE REASONABLY WELL WITH THE THEORY.

• Record URL:
  http://onlinepubs.trb.org/Onlinepubs/hrr/1972/413/413-008.pdf
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0309020859
• Supplemental Notes:
  • Sponsored by Committee on Subsurface Soil-Structure Interaction. 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.
• Corporate Authors:

  Highway Research Board

  2101 Constitution Avenue, NW
  Washington, DC    20418
• Authors:
  • Chelapati, C V
  • Allgood, J R
• Conference:
  • 51st Annual Meeting of the Highway Research Board
  • Location: Washington District of Columbia, United States
  • Date: 1972-1-17 to 1972-1-21
• Publication Date: 1972

Media Info

• Media Type: Digital/other
• Features: Appendices; Figures; References;
• Pagination: pp 77-88
• Monograph Title: SOIL-STRUCTURE INTERACTION: A SYMPOSIUM
• Serial:
  • Highway Research Record
  • Issue Number: 413
  • Publisher: Highway Research Board

Subject/Index Terms

• TRT Terms: Buckling; Conduits; Deflection; Mathematical analysis; Pressure; Radials; Stresses; Underground structures
• Uncontrolled Terms: Cylinders
• Old TRIS Terms: Circular loaded areas; Radial stress
• Subject Areas: Bridges and other structures; Highways; Hydraulics and Hydrology;

Filing Info

• Accession Number: 00204479
• Record Type: Publication
• ISBN: 0309020859
• Files: TRIS, TRB
• Created Date: Apr 17 1973 12:00AM