The bearing capacity factor Nγ was determined for both smooth and rough ring footings using the method of stress characteristics. The analysis was based on the assumption that for a rough footing the friction angle (δ) between the footing base and underlying cohesionless material increases gradually from zero along the axis of symmetry to ϕ along the outer edge of the footing. The value of Nγ was found to decrease significantly with an increase in ri /ro, where ri and ro are the inner and outer radii of the ring, respectively. For larger values of ϕ, the magnitude of Nγ for a rough footing was seen to be significantly higher than that for a smooth footing. The obtained results were compared with those available in the literature.Key words: bearing capacity, failure, foundations, method of characteristics, plasticity.