must be related to the applied pressure. The procedure is the same as 

 that outlined for finding numerical solutions of Equation (49) to determine 

 the axisymmetric inelastic buckling pressure. A detailed discussion of 

 the procedure is given in Reference 42. It is important to point out that 

 these formulations for inelastic buckling of stiffened cylinders can be 

 applied to either case where the material is of the strain-hardening type 

 or of the ideally plastic type; this corresponds to curvilinear and plateau 

 stress- strain curves, respectively, in the plastic range. 



The final equations used by Reynolds to relate stress-intensity '^^ 

 where 



1/2 



\ X S X s) 



(107) 



to the state of stress in a ring -stiffened cylinder, using the linear theory 



"6 8 



of Von Sanden and Gunther instead of that due to Salerno and Pulos, are 



as follows: 



X 2h 



= e5 



^ I(w)(^-fO 



/A +bh' 



2 ^p\ Lh 



+ 1 



(108) 



where: 



sinhO + sinO 



8=0,' 

 P pVcoshO - cos9 



Q 



/ sinh— E- + sin — E- 



p 2 \ 9 



cosh— E--COS -£ 

 2 2 



= (2.25)^'^'* L/\fRh 

 P 



70 



(109) 



