N or < KKTAIN K"K\ls ii|- >li.\l-TIN<;. 



351 



-^- = tanh 2a sinh at, 

 ftrc 



2 



8 (coah 2 - cos 2/3) "- 



sinh a " H.O (2 + 1)V + 16* 



= cosh a (sec 2/3 1) 



8/9(coBh2-co82j8) 

 ainha " 



(l + sech 2a) 



, ... , 

 " ~ 



2 + IV- 16/3 1 



_ ITT" . 



C ~~ 



8 (cosh 2- cos 2/3) "-- _ 



cosh * ,*, " 2TTT|V + 16 ! 



= sinh a (1 + sec 2/8) 



- 8/9(coHh2,- C oK2/3) --- <- l 8m ~4J9 



" 



whence I find 



2+ l|V-16/3* 

 TABLE of Stresses. 



(35), 



(86), 



We see that the greatest of the three stresses occurs at A, i.e., at the vertex of the 

 lyperbola, and it is prol table that A is the true fail-point. 

 The following are the values of S A /S , S having the same meaning as in 12 : 



TABLE of S A /S . 



