NONDIMENSIONAL FORMULATION 



To reduce the number of variables, the equations presented in the analytical 

 development were made dimensionless . Equation 36 for a Q was expanded and divided by 

 c, the unit cohesion, to determine the basic dimensionless parameters: 



1. v = ^» 



C 



2. Y' 



b w^ 



3 . x = ^ SL = Y 



The development of the nondimensional expressions parallels the analytical develop- 

 ment. It was necessary to define additional parameters for the equations that lead to 

 the final nondimensional expressions for the normal and tangential stresses. Because 

 each nondimensionalized equation has an analog in the analytical development, the 

 equations are presented with few details. 



The nondimensional form of the effective normal stress on plane A-A' , a , is 

 obtained from equation 8: 



o 



N" = — — • = Ycos 2 6 + Y'cos 2 0. (45) 



3. C 



The nondimensional form of the seepage force per unit area, S, is obtained from 

 equation 18: 



= - = Xsin8cos6 = Y 4 — \ sin6cos0 . (46) 



The nondimensional form of the tangential stress on plane A-A', x , is obtained from 

 equation 5: 



x 



T" = — = N"tan6 + XsinQcosG. (47) 

 a c a 



21 



