This article describes the methods of calculation for the slopes fortified with geotextile in the framework of plastic systems marginal analysis. Continuous anisotropic medium of shift resistance is taken for experiments. Theoretical values of bearing capability are compared to the experimental values obtained in tray modeling experiments. Bearing capability calculating algorithm of artificial reinforced embankment is presented with a computer software and an example. During tray experiments the similarity conditions were maintained. Geosynthetics modeling material characteristics were defined through experiments; medium-grained sand was used as a base in its air-dry state. Experimental values of load limit correspond to estimated load values gained for the sample. The results of this work can be used in engineering practice to calculate artificial earthwork structures reinforced with geosynthetics by the first limiting state (Ultimate Limit States). (C) 2016 The Authors. Published by Elsevier Ltd.