Turanboy A.U¨lker E.Ku¨çu¨ksu¨tcu¨ C.B.2020-03-262020-03-2620169.78193E+122369-8136https://dx.doi.org/10.11159/mmme16.115https://hdl.handle.net/20.500.12395/34286Proceedings of the 2nd World Congress on Mechanical, Chemical, and Material Engineering, MCM 2016 -- 22 August 2016 through 23 August 2016 -- 139568One of the most serious problems in rock engineering applications is the accidental falling of rock blocks that are formed by discontinuity in the rock mass and free surface(s) of engineering structure such as open pit slope, tunnel wall etc. For the stability analysis of in rock mass, there are so many parameters. However, the most important of them which should be taken into account, are the geometrical parameters of discontinuity because the discontinuities are mechanically weak zones and failures occurred on thought surfaces and intersection lines of them and geometrical characteristics are also used as decisive factors in different scales in all stability analysis. Investigation of starting point of possible fails must be a crucial step both in pre-design analysis on existing structures. Because the failures are mostly beginning at these points which are investigated as an analytic solution in this paper. Starting possible locations of failures can be investigated as points on free surfaces of an engineering construction. This study includes derived series of linear equations for the investigation of these points. In addition, Kernel Densities Estimation (KDE) of intersection points is described using for the prediction of failure locations on the visible surfaces of an engineering structure. Derived methodology was sampled on an experimental highway wall and consistent results were shown successfully. © Avestia Publishing, 2017.en10.11159/mmme16.115info:eu-repo/semantics/openAccessDiscontinuityKernel densities estimationRock massStabilityConference ObjectN/A