Sliding along a fractured plane is a normal phenomenon of failure that have been reported during oil and gas wellbores drilling. A new approach has been adopted by Rock Engineering System (RES) to study the interrelationship between various parameters involved in an engineering project. In this approach the main parameters are arranged along the diagonal elements of a matrix called interaction matrix and the interrelation between each pair of parameters are identified in off-diagonal elements. The purpose of this thesis is to evaluate and analyse the sliding mechanism along a fracture plane, which intersects a wellbore during drilling operations by identify interrelationships between different parameters, effectively contributing in this failure to occur in fractured rocks, and also to understand the overall reaction between these parameters that affect the system and be affected by the system to a certain extent.