Elastic Eqiülibriuui of Semi-Infinite Solid. 



61 



TJ ' k) = ^ / it\o.)J^lka)ada, 







Z{z) = hi p{oM,lU>.a(lo.. 



(138) 



46. Ccise ill wliicli the tangential traction and normal 

 displacement at the sm'face are given. 

 If 



F? = r(r), 

 Uy = w(r) 



are given at .z = o, then we obtain 



(139) 



''-vi-^él^rt^^^^ 



+'i/^ 



WiJc) 



+ \V(k)\e-''J,ßr)dl- ; 



> (140) 



and 



Si = - /^l j(l+/^^_Ä^ [i^(A-)2/.A-IF(A-)]+ '^4^i^lF(Ä-) 

 ^ I / + 2/^ /. + '2/i 



- --^ E(A0l-'^^/„(A7-)f7Ä-, 

 rr = - f[-A^±^ [B{k) + '2!.kW(k)] 

 + i? (A) }.-■-' J',(/,r)'7/.-, 



) (141) 



etc. ; 



wher( 



