Younes Tahir - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Imad kadiri - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Saif ed- Din Fertahi - Thermodynamics and Energy” Research team, Energy Research Center, Physics Department, Faculty of Science, Mohammed V University in Rabat, Morocco
Omar Iken - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Maryam Dlimi - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Rachid Agounoun - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Miloud Rahmoune - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco
Khalid Sbai - Université Moulay Ismail (UMI), Laboratoire d’Etude des Matériaux Avancés et Applications (LEM۲A), Ecole Supérieure de Technologie de Meknès, Morocco

The non-linear Generalized Hoek-Brown (GHB) failure criterion for rock mass is widely accepted and has been applied in a large number of open pits slope designs. This paper proposes new equations for estimating the maximum confining stress from the (GHB) parameters and geometrical properties of the slope in the case where the strength ratio is critical (SR)_crit=(σ_ci/γH)_crit and the factor of safety (FOS)=۱. This maximum confining stress can be used to calculate the global equivalent Mohr-Coulomb (MC) parameters. It was found that, compared to the calculation with the limit analysis method (LAM), the discrepancies do not exceed ۵% and remain in the most cases less than ۱%. Hence, the estimation of the (FOS) is much more improved, because the comparison of the literature’s results with the (LAM) leaded to a difference up to ۲۱%. For any value of (FOS≠۱), an iterative method has been proposed to evaluate (SR)_crit. The comparison between the results driven from this method and those of (LAM) showed a good agreement, which proves its accuracy. A case study has been conducted in an open pit located in Sudan to evaluate the discrepancy of the (FOS) provided by different methods using limit equilibrium method (LEM) with Rocscience Slide software and using the (LAM) given in the form of charts.

Factor of safety, Limit analysis method, Limit equilibrium method, Open Pit, Slope stability