THE EQUILIBRIUM OF ELASTIC SOLIDS. 



When the cylinder is pressed on the plane sides only, 



8x_ /_!_ 2 \ 

 ~~x = \9ft + 3m/ ' 



8r_ /_! J_\ 



r = \9/A 3m/ ' 



4. When the solid is infinite, or when a a is infinite, 



7 -^- > / 7 7 \ 



r 9/i 



5. When 8r = in a solid cylinder, 



So; 3o 



6. When 



x 2m + 3/i 



Sx 8r_ 

 x~ ' r ~ 



49 



(29). 



.(30). 



Since the expression for the effect of a longitudinal strain is 



Sx 

 x 



3m/ ' 



if we make 



VOL. I. 



9ma ,1 8x 1 

 E=- - , then -=0-^, 

 m + 6/x 33 > 



(31). 



7 



