The limit equilibrium (LE) methods were used in this book to analyse the stability of existing cut slopes of the Abuja Rail Mass Transit Project, lot 3A, Abuja, Nigeria. The Stability Number Method, the Infinite Slope Method, the Ordinary Method of Slices also called the Fellenius Method and the Simplified Bishop Method were employed manually to perform the stability analyses for both cohesive and frictional soils. Results of the quantitative analyses were verified using a spread sheet program that applies Fellenius and the Simplified Bishop Methods of slices. A number of applications software have been developed for slope stability analyses, which have greatly reduced the rigor of manual computations, but these have little or no relevance for a student acquiring a foundational knowledge on slope stability analysis.This book will guide you through the step-by-step procedure of slope stability analysis, which may also help you in developing slope stability analysis user-written software. It will make a good reference and teaching material for researchers and students of geotechnical engineering.