"This thesis is an extension of the work of T. F. Lehnhoff which used the method suggested by Goodier to develop the Reissner-Goodier small displacement theory for plates subjected to lateral loading. The purpose of this work is to develop a more complete Reissner-Goodier small displacement theory for plates under general loadings, both lateral and thermal, and to provide a solution to the six governing coupled partial differential equations by using a process similar to that of Lehnhoff. Any loading, lateral and/or thermal, that satisfies the Dirichlet conditions of Fourier analysis and virtually any boundary conditions may be handled. Most problems that can be solved by classical theory of plates are also solvable by this theory. An example problem of a solid circular plate with the outer edge clamped subjected to thermal loading only is solved to show the application of this theory. Numerical results are displayed in a series of nondimensional curves. These curves are compared to those solved by the classical theory of plates presented in the paper of Forray and Newman. The comparison indicates that the importance of the effects of transverse shear increases when the plate thickness increases"--Abstract, page ii.
Lehnhoff, T. F., 1939-
Parry, Myron G.
Keith, Harold D. (Harold Dean), 1941-
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
University of Missouri--Rolla
viii, 74 pages
© 1970 An-Ton Liu, All rights reserved.
Thesis - Open Access
Plates (Engineering) -- Mathematical models
Materials -- Mechanical properties -- Mathematical models
Strains and stresses
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Liu, An-Ton, "Thermal stresses in circular plates including the effect of transverse shear deformation" (1970). Masters Theses. 7159.