AXISYMIVIETRIC ELASTIC BUCKLING BETWEEN RING FRAMES 



In reference 8, Salerno and Pulos derive the following criterion 

 which represents an exact solution to the axisymmetric elastic buckling 

 problem of a thin cylindrical shell reinforced by ring frames of finite 

 rigidity and loaded by hydrostatic pressure: 



where 



°(+ p + (1-P)F5 = 



cos^Ti^e - cos^T] e 



COST] 'esinri' e cost] esinT]26 



^1 



^2 



(39) 



(40) 



and 





(41) 



■^~ 2E \ 



3(1-1/^) 



(r)' 



Equation (39) is a transcendental equation to be solved for the critical 

 pressure p = p^.^. for a given shell and ring-frame geometry defined by the 

 nondimensional parameters o(, p, and 6. A graphical representation of 

 Equation (40) is given in Reference 8 to facilitate the iteration calculations 

 required to find the value of p which satisfies the buckling criterion, 

 Equation (39). 



In small-displacement theory, the condition for instability of a 



39 



