476 x - STATICS OF DEFORMABLE BODIES. 



60) c _? 



dy 



fl z la*" ,,.2) . ; 



a b 



dw _ 36^o? du- _ Sbzy div _ a b 



giving (? = a. The values of the surface forces are by 145), 175 7 



I~ ^ /a b . 3&^ 2 \~| f ^ 



X n = [id + 2/i ( - p + -p-)J cos (nx) 



r / N /NT 



/ cos * + ^ cos ( 



# cos Wj8f + ^ cos 



H ~ [^ cos ( Mic ) 4- y cos (wt/)]. 

 Collecting the terms 



bx Ix 11 / \ z / \\ fttibx Qiib 



p- ( 7 cos (ns) + f cos (ny) -f 7 cos (*)] = -^- = ^- cos 



and writing 



63) 

 these become 



64) X n =pcos(nx), T n = pcos(ny^ Z n =pcos(nz), 

 so that p is a normal traction or pressure. If E and E 2 are the 

 internal and external radii of the shell, 



p i = Ha + jfsr' 



which determine a and 6. 



_ 



66) ^ 8 s 





