Figure 18 .--Non-dimensional Mohr diagram. 



The equations for the nondimensional analogy of the critical depth were developed 

 in the same manner as equations 42 through 44. The critical depth in terms of the 

 nondimensional parameters is : 



1 - Xsin6cos9 



(Y + YI) = (53 ) 



cos 2 (tanG-tan<}>) 



where: (Y + Y') cr is the nondimensional form of the critical depth. For the special 

 case of no ground water table, the nondimensional critical depth is: 



cr 



cos 2 6 (tan9-tan<t0 



(54) 



23 



