CHAPTER III 



SOLUTION 



The first step in the solution of equations 11-127 through 11-131 for(B w /A) is to solve 11-131 for D a and 

 substitute the result into equations 11-129 and 11-130. For conciseness the boundary conditions will now be 

 written in a tabular form: 



BC 



B. 



B, 



E, 



The Sj-s are taken such that 



S M B W + S l2 B f + S i3 E, + S, 4 B a = o,A 



The Sg's and q's are as follows: 



Sn = -(-^au)h '(k 2w b) , 



V Mow ' 



Si2= (^kr) j °' (k2 ' b) ■ 



Si-- (p^>'< k * b ) 



°1-(^fc)w^>. 



S 21 = - h (k 2w b) , 



ico^ 



j (k 2f b) + (~0t) Jo"(k 2l b) , 

 n (k 2f b) + (-^|t) n "(k 2( b) , 



5 22 - 



5 2 3 = 



Q 2 = Jo (k 2w b) , 

 S32 = 1 



S33 

 S34 



p^t) jo ' (k2,a) ■ 



B. 



S 42 =Jo(k 2f a) + (^| r ) jo "(k 2f a) , 



S 43 = n (k 2f a) + (^ r )n "(k 2f a) , 



k 2a Jo (k 2a a) 



a, 

 a 2 

 

 



(111-1) 



(III-2) 

 (III-3) 



(III-4) 



(III-5) 

 (III-6) 

 (III-7) 



(III-8) 



(III-9) 



(111-10) 



(111-11) 



(111-12) 



(111-13) 

 (111-14) 



19 



