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Virginia Tech

A general procedure for analysis of elastic rings in space

Abstract

dc:description.abstract

The purpose of this thesis has been achieved. Vector notation has been used in developing the equations necessary for the analysis of three dimensional elastic rings. An elastic centroid for the elastic ring has been located with a tabular procedure for exacting the solution to the problem. For a comparison of the solutions between the method based on three elastic centroids with the method based on one elastic centroid, one need refer to Figures 7 and 10. Comparing the two methods, it is the author's opinion that the method herein presented is superior if for no other reason than simplicity. The development of the six equations can be readily followed and the tabular form of Figure 7 presented as an orderly means for obtaining the coefficients of the six unknowns. Figure 10 presents a method involving a similar tabular form as in Figure 7 along with the additional calculations that must be made before the correction moments and shears can be obtained. The necessity of these additional terms serves to obscure the physical significance of the final equations.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Applied Mechanics
Department dc:contributor.department
Applied Mechanics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1957

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Liessner, Walter Carl
Chair dc:contributor.committeechair
  • Pletta, Dan H.
Committee members dc:contributor.committeemember
  • Pardue, Louis A.
  • Whittemore, John A.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-11072012-040243
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/45528

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Liessner, Walter Carl. A general procedure for analysis of elastic rings in space. masters thesis, Virginia Tech, 1957. http://hdl.handle.net/10919/45528