Accession Number : AD0677218

Title :   SOME PROBLEMS IN THE ZERO-MOMENT THEORY OF SHELLS MADE OF MATERIALS WITH DIFFERENT MODULI,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Ambartsumyan,S. A. ; Khachtryan,A. A.

Report Date : 01 DEC 1967

Pagination or Media Count : 10

Abstract : The solutions of several problems concerning membrane-stressed shells, under external surface loading made of 'bi-modular' materials, having different moduli (strengths) in tension and compression, are presented. The following equations used in solving these problems are taken from earlier works by the authors on the applicability of certain theorems of classical elasticity theory to 'bi-modular' materials: equilibrium equations and geometrical strain-displacement relationships of the membrane theory of shells, and the generalized law of elasticity and formulas for direction cosines of tangential stresses uniformly distributed over the shell thickness. In each problem under discussion, the boundary conditions are established, and the formulas for determining the direction cosines, stresses, and displacement components are derived. The following sample analyses are carried out: (1) a circular cylindrical shell fixed at one end is subjected to combined tension and torsion by forces applied at the free end; (2) a frustum of a circular conical shell fixed at the small base is subjected to internal pressure combined with torsion by a tangential force applied at the large base; and (3) a shell having the form of a spherical zone under interval pressure is fixed at one face and twisted by a tangential force applied at the other face. In example (2), by means of passage to the limit, the corresponding results for a cylindrical shell can be obtained. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), LOADS(FORCES)), STRUCTURAL PROPERTIES, ELASTIC PROPERTIES, BOUNDARY VALUE PROBLEMS, STRESSES, DIFFERENTIAL EQUATIONS, DEFORMATION, USSR

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE