In Reference 11, Lunchick and Short modify the theory of Reference 8 

 to include the effect of initial cixisymmetric deviations from straightness 

 of the cylinder generators. If it is assumed that this deviation possesses 

 constant curvature between adjacent ring frames so that it can be express- 

 ed analytically by a second-degree parabola and assumes a maximum 

 amplitude A ( + inward), then the stress expressions, i.e., Equations (15) 

 through (18), respectively, become in the present notation 



X m 



1 



2 \li_i, 



0.91 



4RA /o(+l\ 



2(1-^/2) V °^ /. 



1 + 

 L L'-(l-i//2) 



aF4 



i_ = 1 - aFo.. 4RA 



1 __i±tiHi_n. 



c^ +p+(l-p)FiJ 



-V. 



0.91 



l-V 



1 + 



4RA 



L'^(l-l//2) 



(^)1 



(15') 



aF4 (16') 



^X9f 



1± 



0.91 

 1-1/2 



4RA /°(+l' 



l2(1-j//2)V^ 



aF: 



(17') 



09f r 



L_ = 1 -a 1 



4RA (1-P)( 



L'^(l-l//2) 



limy 



079i |7+ 4RA / °<+l\ 



aF3 (18') 



25 



