The nondimensional form of the center of the stress circle, a is obtained from 

 equation 28: 



N" = — = N"(l+tan 2 4>) + tan* 



± [N" 2 (l+tan 2 4>) 2 + 2N"(l+tan 2 <J))tancj) + tan 2 cf>] 

 I a a 



■N n2 (l+tan 2 <J)+tan 2 0+tan 2 (|)tan 2 e) - 2N"vtan0 ( l+tan 2 *) (48) 



3. 3, 



v 2 (l+tan 2 ())) + 1 



The nondimensional form of the normal stress at the origin of planes, , is obtained 

 from equation 29: 



a, 



= — = 2cos 2 6(N^-vtanG) - NT . (49) 

 c 



The nondimensional form of the tangential stress at the origin of planes, , is 

 obtained from equation 30: 



T^j = — = N^tanG + v . (50) 

 c 



The nondimensional form of the normal stress on a plane at the depth of investigation 

 oriented at angle 5 , is obtained from equation 36: 



a 



N" = — = cos 2 <*[2N"+N'' (-l+tan 2 cc-2tan<xtan9) - 2vtan<*]. (51) 

 c c L o b 



The nondimensional form of the tangential stress on a plane at the depth of investiga- 

 tion oriented at angle «, t , is obtained from equation 37: 



T 



T" = — = T" + (N"-N")tan=. (52) 

 c _ b c b 



Figure 18 shows the notation on a nondimensional Mohr's diagram, which is 

 analogous to figure 13. 



22 



