For convenience, we repeat here the following definitions: 



c 



U = 



U' = 



p SL 

 c 



U 



S' = 



LZ 



U E 

 o 



4apA|U I 



3 ttM 



(27) 



(28) 



If the values of y'^ax' ^^ given by Equation 21, are outside the 

 range to 1 for all of the indicated n's, the maximum stress, as given by 

 Equation 20 does not occur in the cable. In that case, the maximum and mini- 

 mum stresses in the cable are the stresses at the top and the bottom of the 

 cable, respectively. In order to have ^ YmaTc ^ ^' the condition that 



2 UD' + T 5 



— must be fulfilled. 



2. Special Limiting Cases 



Case 1 



ti)' = m TT, where m = 1, 2, 3 . , . , and u « 1 so that - ^r- 



Then U = 1 and: 



f^'. 



E- = e; 



o 1 



r^ 



(1 + 3^)- 



(29) 



Case 2 



L -» so that ud' and u -» but is a finite number other than zero . 

 Then everywhere in the cable U and E are constant, and they are given by 

 U = U and: 



E = - tu^ U M (1 + 8^)'^ 

 S o a 



(30) 



16 



Arthur B.HittlcJnt. 



S-7001-0307 



