A New Approach for Evaluating the Soil Slope Reinforcement Tensile Forces Using Limit Equilibrium Methods
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ORIGINAL PAPER
A New Approach for Evaluating the Soil Slope Reinforcement Tensile Forces Using Limit Equilibrium Methods Houcine Djeffal . Smain Belkacemi
Received: 29 October 2019 / Accepted: 29 October 2020 Springer Nature Switzerland AG 2020
Abstract Limit equilibrium methods have been extensively used in the design of reinforced soil structures using various types of failure surfaces. A significant problem in limit equilibrium analysis of reinforced soil is the need to know the force at each reinforcement layer in the limit state. Limit equilibrium analysis with log spiral failure mechanism has been employed to locate the critical failure surfaces emerging at or above the toe and to study the behavior of geosynthetic-reinforced soil slopes. This paper describes a numerical procedure, using limit equilibrium methods, to evaluate the distribution of the soil slope reinforcement tensile forces. Both, log spiral and circular slip surfaces are considered. The effect on the required tensile forces of the target safety factor value, the ratio of the mobilized soil shear strength, and the reinforcement layer spacing are examined. Results show that the distribution of reinforcement tensile forces is dependant on reinforcement layer spacing; however, the total reinforcement force is not. The total reinforcement force required to ensure equilibrium is strongly dependant on the target safety factor value and the ratio of the mobilized soil shear strength.
H. Djeffal (&) S. Belkacemi Civil Engineering Department, Ecole Nationale Polytechnique, 10 Avenue des fre`res Ouddek, Hassan Badi, BP182-El Harrach, 16200 Algiers, Algeria e-mail: [email protected] S. Belkacemi e-mail: [email protected]
Modified Bishop Method with circular failure surface and Shiwakoti–Leshchinsky log spiral failure surface led to comparable results. Keywords Geosynthetics Reinforced slope Limit equilibrium Safety factor Slope stability Reinforcement tensile forces List of Symbols sR Shear resistance acting on the bottom side (N/m2). W Total weight of the slice of width b and height h (N/m). N Total normal force on the base of the slice over a length l (N/m). S Shear force mobilized on the base of the slice (N/m). Rs Moment arm associated with the mobilized shear force S (m). E Horizontal interslice forces (N/m). X Vertical interslice forces (N/m). AR Resulting forces due to the water to the right of the formed section (N/m). AL Resulting forces due to water to the left of the formed section (N/m). L Subscript designating left sid (dimensionless). R Subscript designating right side (dimensionless). Fs Safety factor (dimensionless).
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Geotech Geol Eng
u i f x r c / a FSf FSm Rf Df MD MR MT r n udesign x y xc yc A cd MO W xCG yCG kv kh tj
Pore water pressure (N/m2). Slice number (i = 1, 2,…, n) (dimensionless). Perpendicular offset of the normal force from the rotation center (m). Horizontal distance from the slice to the rotation center (m). Total normal stress on
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