Masters Theses
Abstract
"The purpose of this study is to show a general method of solution for multiple inclusions in an infinite plane. The shrink-fitting of an infinite plane upon the inclusions, or pins, will be simulated by force-fitting the pins into a large sheet of birefringent material, to obtain an experimental verification of the analytical solution.
The problem to be approached is that of four circular elastic pins shrink-fitted in an infinite plane. The method of superposition will be used, and the stresses at any point in the plane found with respect to a common origin of coordinates. It will first be necessary to show that superposition does apply, i.e., the stresses are linear functions of the loading. This can be shown by first finding the stresses in an infinite plane containing a single shrink-fitted circular pin, and observing that the stresses in the plane are linearly dependent upon the shrinkage pressure, or interface pressure.
Superimposing four such solutions, the solution to the problem of four pins shrink-fitted in an infinite plane will be obtained.
In the experimental analysis, three sets of pins having different mechanical properties will be employed. One set will be of the same material as the plane, another set will have a modulus of elasticity approximately twice that of the plane, and another set will be made of steel to approximate an infinitely high modulus of elasticity, or, perfectly rigid pins"--Introduction, page 4.
Advisor(s)
Hansen, Peter G., 1927-2010
Committee Member(s)
Francis, Lyman L., 1920-2004
Kerr, Richard H., 1907-1980
Schaefer, Rodney A., 1926-2002
Department(s)
Mechanical and Aerospace Engineering
Degree Name
M.S. in Mechanical Engineering
Publisher
University of Missouri at Rolla
Publication Date
1964
Pagination
viii, 49 pages
Note about bibliography
Includes bibliographical references (pages 47-48).
Rights
© 1964 Charles H. White, All rights reserved.
Document Type
Thesis - Open Access
File Type
text
Language
English
Subject Headings
Plates (Engineering)Plates (Engineering) -- Plastic propertiesStrains and stresses
Thesis Number
T 1704
Print OCLC #
5964262
Recommended Citation
White, Charles H., "A theoretical and experimental study of the stress distribution in an infinite plane shrink-fitted on four circular elastic pins" (1964). Masters Theses. 5683.
https://scholarsmine.mst.edu/masters_theses/5683
