A finite element limit analysis (FELA) combined with a machine learning technique is adopted to determine failure envelopes of a strip footing resting on anisotropic soil under combined loadings (V, H, M). Based on numerical results from 2D FELA, the parametric studies on the failure envelopes in the 2D space (H, M) and 3D space (V, H, M) considering the effect of anisotropic behaviors of clays and interface interaction between soil and structure, are investigated. Additionally, the failure mechanisms of the investigated strip footings are also illustrated. These results can enhance the understating of practical engineering for designing a strip footing resting on anisotropic soil under combined loadings (V, H, M). In the later part, an artificial neural network (ANN) is adopted to propose the correlation equation between input parameters and their corresponding outputs using the data from FELA. Based on the developed ANN model, building the failure envelopes of strip footing subjected to general load (V, H, M) becomes quicker than the traditional methods. For more detail, the careful explanation for applying ANN results is presented through the design example. It can be a valuable procedure for practical engineers to establish the failure envelope of a footing on anisotropic clay under combined loading (V, H, M).