notation''' 



R Radius to median surface of the cylindrical shell 



h Uniform thickness of the shell 



Lr Center-to-center spacing of reinforcing ring frames 



b Faying width of ring frames in contact with shell 



L = Lf-b Unsupported shell length between adjacent ring 

 frames 



Af Actual cross- sectional area of ring frames 



p Applied hydrostatic pressure 



E Modulus of elasticity 



1/ Poisson ratio 



Eh^ 



D = ^ — Flexural rigidity of shell 



12(1-1/'^) 



w(x) Axisymmetric elastic radial deflection 



X Axial coordinate along length of cylinder 



A,B,C,F Arbitrary constants 



e = v/3(l-2/2) -^ Shell flexibility parameter 



\/Rh 



Y = P/p''' Measure of beam-column effect 



R Radius to centroid of ring frame 



d Normal stress 



A 



o( = Ratio of ring-frame area to cross- sectional area of 



Lfh 



one bay of shell 



Ratio of ring-frame faying width to frame spacing 



Lf 

 F^ ,F2,F3,F4,F5 Functions of pressure loading and geometry of shell 



* Basic symbols are given in the order in which they appear in the text 

 and figure s . 



viii 



