This paper presents a new approach to determine the minimum factor of safety and the associated critical line segment pseudostatic slip surface. The new technique is called Alternating Variable Local Gradient (AVLG) that it is based on Univariat method. The slip surface shape is line segment (or non-circular). The safety factor is calculated using Janbu function. This procedure can truly convert the initial slip surface to critical slip surface with the different conditions of slope and soil properties. The critical slip surface obtained in this method provides both minimum factor of safety and more accordance with reality in nature. Resultant critical slip surface is reasonable also comparative study of numerical examples indicate the efficiency and accuracy of proposed method.
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