Title page for ETD etd-11072012-040243
|Type of Document
||Liessner, Walter Carl
||A general procedure for analysis of elastic rings in space
||Master of Science
|Pletta, Dan H.
|Pardue, Louis A.
|Whittemore, John A.
|Date of Defense
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.
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