Curves of the functions Fj, F2, F3, and F4 may be found in either of 

 References 8 or 10. 



The elastic analysis developed in Reference 8 is intended for the 

 determination of the deformations and stresses in a typical bay of a pres- 

 surized ring- stiffened cylinder composed of many identical bays as shown 

 in Figure 11. This longitudinal identity and symmetry between adjacent 

 bays is disturbed by the introduction of rigid bulkheads, intermediate deep 

 frames, cone and sphere-cylinder junctures, and other contiguous structure 

 which goes to make up the pressure hull of a submersible. In these more 

 complicated configurations, a more general analysis of the axisymmetric 

 behavior is needed. 



Short and Bart have given a general analysis for determining the 



12 



stresses in stiffened cylindrical shells near structural discontinuities. 



The formulation includes the possibility that the shell thickness may differ 

 in adjacent bays, the stiffness properties of adjacent ring-frames may be 

 different, and the spacing between ring frames may vary along the length 

 of the cylindrical compartment. The general equations developed by these 

 investigators are given in the form of frame and shell matrices to better 

 identify the stiffness and response of each element and to facilitate 

 numerical calculations. This form of the solution lends itself very con- 

 veniently to high-speed digital computers and also permits immediate 

 identification of those geometric and material properties which can be 

 varied to produce desirable changes in the static response. All the 



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