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Abstract Shells of different geometries are being deformed differently while they are under mechanical or thermal loading at the region of their intersection. Stresses produced to satisfy compatibility of such deformations are known as discontinuity stresses. In the early stage of this study, discontinuity stresses produced at the juncture of cylindrical shell and spherical head under internal pressure have been evaluated using thin elastic shell and the beam on elastic foundation theories formulation. While the later theory is much easier in application, the results obtained by both are similar. In order to present the concept of the finite element method extensively used in later stages through commercially available software (COSMOS), a longhand solution for internally pressurized cylinder using constant strain triangular element (CST) is presented. In the next part of the thesis, the maximum membrane and discontinuity stresses produced in a cylinder, sphere and their juncture while they are under time dependent thermal gradient have been evaluated. The temperature profiles either in space or in time domains as well as the associated deformations have been evaluated through the FE package. The resulting displacements were then introduced into the formulation of the earlier mentioned theories and the resulting discontinuity stresses are defined. For the sake of riumerical figures interpretation, the physical and the mechanical properties of a pressure vessel designed according to the ASME code were utilized. Conclusions of practical considerations have been driven by the end of the study. |