In the present study; by using symmetry, anti-symmetry, axial symmetry properties and maintaining the feature of being the exact solution of the problem; model minimization and more accurate and detailed information acquisition techniques in the minimized model are discussed with examples on the analysis by the Finite Element method. On the other hand, the computer programs "ESKA-2" and "ESKA-4" (Axisymmetric Shell Analysis) which are formulated on the classical shell structure theory and developed within the scope of the study are introduced. By means of these programs, model modifications can be made in an extremely practical way compared to the Finite Element Method in axially symmetric shell structures; load and load combinations, boundary conditions and so on. In addition to all these conveniences, more detailed and more accurate analysis results can be obtained than the Finite Element Method, which can only analyse with a limited number of unknowns with the capacity of computers. ESKA-2 has been developed for the analysis of systems (high walled) where the analysis of axial symmetric wall with two integral constants is suitable. ESKA-4 is formulated with four integral constants and gives accurate results regardless of the wall height.