In this paper, a novel approach is proposed to predict the pressure-settlement and pressure-tilt characteristics of eccentrically-obliquely loaded footings using the hyperbolic stress-strain curves of soils as nonlinear constitutive laws. The analysis is developed for strip footing. Stresses in the soil mass were obtained using the theory of elasticity. It is capable of incorporating the effect of shape, base roughness, and flexibility of footings. The results are obtained for the rigid strip footing resting on clay for load inclinations of 0°, 10°, and 20°, and eccentricity width ratios of 0, 0.1, and 0.2. The values of ultimate pressure obtained using the double-tangent method were found to decrease with the increase in eccentricity and inclination of load, and its comparison with the work of previous investigators showed good agreement.