pressure p at which the shell begins to yield. 



A general set of relations valid for both the simply supported and the 

 clamped cylinders was given in Reference 44 as follows: 



e__ / Py \ I - 3 + [9 - 4 ( 1 - g 4- g ) Ij] | 1 1 for simple supports 



^ \ ^cr / [ 4 (1 - p + p^) K J [2 for clamped ends 



where p for the simply supported shell may be determined from the 



Von Mises Formula (57), and that for the clamped shell from Equation 



(126). Also for the simply supported shell , 



/ . 2 2 



2 J.2 ^, . 2, / R^ n 6 

 l/n +5 + 2(1-1/ ) 



^^ ^nhe']' 



2 -2 ^,, 2,/R\ 6^ 



n +1/6 + 2(1-1/ ) r 



h/ ( 2 2 2 

 n + 6 



2p (1-1/^)/ x 3 , , , /-o\ .4 



or B.\ ^^ 2 2 ^,, 2, /R\ 6 



K = n + j^5 + 2(1-V )' 



E \h. ' \ h / / 2 .2\2 



(n^6^)' 



where 5= — . Whereas for the clamped shell, 

 L 



2 2 

 z/(2n -1) + A + 2(1-1/ ) - 



by f 2 2\2 



o 2 , 2 ^,, 2,/R\ A^ 



2n - 1 +v A + 2(1-1/ ) 7- 



h / /' 2 2\ 2 

 In +A J 



2 



^cr /R\ ^^ ^ 2 , 2 ^,, 2,/R\ A 



\-\ K = 2n -1+l/A +2(1-1/ )- 



(n^A^) 



2 -p 

 where A= • Also, for both cases 



133) 



:i34) 



80 



