experimental data with which to check the predictions of theory. 

 In conclusion, it is appropriate to cite two references which 

 summarize the valuable theoretical research on the transverse strength 

 of pressure hulls being conducted in the Department of Aerospace 

 Engineering and Applied Mechanics at the Polytechnic Institute of 

 Brooklyn. This research effort has been going on for the past 15 years 

 under the financial sponsorship and technical cognizance of the Office of 

 Naval Research and the Bureau of Ships. Much useful information has 

 resulted from these investigations; some has already been discussed in 

 the main body of this presentation, and a great deal has found its way into 

 present-day methods of structural analysis and design of pressure hulls 

 for submersibles. Prof. Nicholas J. Hoff (presently Head of the Depart- 

 ment of Aeronautics and Astronautics at Stanford University) reviewed 



this work for the period from 1947 through 1952 in PIBAL Report 209. 



87 

 More recently, Kempner has discussed in considerable detail the 



research effort covering the period from 1952 through 1961. The topics 

 are varied and include circular cylindrical shells reinforced by non- 

 uniform frames; noncircular cylindrical shells; inelastic behavior of 

 circular cylindrical shells, disks, and frames; large deflections of 

 circular cylindrical shells; and general instability of reinforced circular 

 cylindrical shells. 



Finally, a valuable bibliography on shells and shell-like structures has 



88 

 been compiled by Nash. This document has proved to be a very useful 



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