^=1-0:^=0 (6) 



The case of greatest importance and the only one which will be considered 

 here is that defined by p/p <1.0. A complete discussion of all possible 

 solutions defined by Equation (6) is given in Reference 8. 



The integration constants A, B, C, and F appearing in Equation (2) are 

 evaluated from the following boundary conditions: 



(a) Evenness of the function w(x) dictates A = C = 



(b) Zero slope at the ring frames: -, — = at x = -zr- 



(c) Compatability of the shell and frame radial deflections: 



-±- (Aeff + bh)w = 2D -pR—— -pb(l-i//2) at x = — 



R^ dx 



The boundary condition (c) results from the fact that the total load sup- 

 ported by a ring frame per unit circumferential length is 



|Q*1= 2Qo + pb(l-://2) (7) 



and the transverse shear force Qq is that transmitted by the shell to the 

 frame at their juncture and is given by 



Qo = 



3 

 d w pR dw 



dx3 2 dx 



^ (8) 



2 



21 



