
Accession Number : AD0669983
Title : AXISYMMETRIC ELASTICITY SOLUTIONS OF SPHERICAL SHELL SEGMENTS,
Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
Personal Author(s) : Levine,Howard S. ; Klosner,Jerome M.
Report Date : MAY 1968
Pagination or Media Count : 79
Abstract : An exact series solution for the stresses and displacements of a spherical segment subjected to arbitrary axisymmetric surface tractions and edge boundary conditions is presented. The general solution for the axisymmetric case has been obtained by utilizing two sets of functions, namely, the Lur'e homogeneous functions and the full sphere functions used by Sternberg, Eubanks and Sadowsky. In particular, solutions to the following problems have been obtained: (a) the spherical segment with a stress free edge subjected to a centrifugal force field; (b) the spherical segment subjected to an external pressure varying as cos(2N)theta supported on a rigid surface with no shear resistance; (c) the hemisphere having zero traction on its spherical surfaces subjected to edge shear stresses. The results are presented in graphic form, which demonstrates the boundary layer effect. Heretofore, solutions to these types of problems have been obtained by using shell theory approximations. (Author)
Descriptors : (*SHELLS(STRUCTURAL FORMS), ELASTIC PROPERTIES), SPHERES, STRESSES, DEFORMATION, BOUNDARY VALUE PROBLEMS, GRAPHICS, LOADS(FORCES), FUNCTIONS(MATHEMATICS)
Subject Categories : Structural Engineering and Building Technology
Distribution Statement : APPROVED FOR PUBLIC RELEASE