University of Illinois Urbana-Champaign

Analysis of covered cylindrical storage bins subjected to unsymmetrical loading by shell bending theory

Jerath, Sukhvarsh; Boresi, Arthur P.

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https://hdl.handle.net/2142/112154

Description

Title
Analysis of covered cylindrical storage bins subjected to unsymmetrical loading by shell bending theory
Author(s)
  • Jerath, Sukhvarsh
  • Boresi, Arthur P.
Issue Date
1977-09
Keyword(s)
  • Shell Bending Theory
  • Unsymmetrical Loading
  • Cylindrical Shells
  • Conical Shell Roofs
Abstract
Cylindrical shells covered with conical shell roofs are used in practice as storage tanks and grain bins. Failures under the action of severe weather conditions have occurred. An attempt is made here to calculate stresses more accurately in these structures when subjected to grain and wind loads. Basic shell equations for the orthotropic cylinder and the isotropic cone based upon Donnell's approximations are used. Equations are derived for boundary conditions at the junction between the cone and the cylinder from the principle of stationary potential energy. The governing equations for both the cylinder and the cone are solved simultaneously subject to appropriate boundary conditions. It is very difficult to get the exact solution of the problem because of the interaction between the conical roof and the cylindrical container. Therefore, a bending stress analysis using a numerical procedure of piecewise cubic polynomials in conjunction with the partition method is used. At the cone-cylinder junction the boundary conditions are indeterminate if one uses membrane theory; therefore, the results obtained from membrane theory will not be very accurate, particularly in the neighborhood of boundaries. Storage bins of various dimensions with different boundary conditions are studied in this investigation. It was found that for a considerable part of the cylinder the circumferential moment Mθ must be taken into account for an accurate calculation of the hoop stress. Also, the pressures exerted by flowing grain are much larger than that due to grain at rest. Consequently, flowing grain produces much larger stress values in the cylindrical container, than does grain at rest.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 419
  • 1977-6006
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112154
Copyright and License Information
Copyright 1977 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.