This paper extends Martin's analytical development to include stresses on any 

 plane in the slope, and includes seepage stresses in the analysis. It is assumed in 

 the following development that seepage stresses are caused by a water table parallel 

 to the ground surface. A chronological summary of the developments based on Rankine's 

 assumptions is shown in table 1. 



The graphical methods presently being used to determine earth pressures are tedious 

 and time consuming to use because, unlike the analytical expressions developed herein, 

 they cannot be processed by computer. 



Table 1 .- -Chronological summary of the development of infinite slope earth pressures 





Factors Considered 



Approach 







Angle of 



: Unit ; 



Angle of the 









Investi- 



Angle 



internal 



: cohesion of 



plane of in- 



: Seep- 



Graph- 



- : Analyt- 



gator 



of slope 



friction 



the soil 



vestigation 



: age 



ical 



: ical 



Rank in e 



X 



X 





vertical 







X 



Bell 



X 



X 



X 



vertical 





X 





Martin 



X 



X 



X 



vertical 







X 



Hartsog 



X 



X 



X 



any 



X 





X 



2 



