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The bending moment distribution of beams of variable width, with initial curvature, while resting on a linear elastic foundation, loaded by in-plane as well as out-of-plane resultants is formulated. A numerical procedure is developed to generate the solution of the two point boundary value problem. As interface loading is deformation dependent, an iterative procedure is devised to obtain the correct loads. A specific case is analyzed and its bending field presented. Dependence with respect to the interface variables, wedge angle and imperfection profile is considered. Comparison to the uniform beam case is also performed. While initial curvature has limited effects on bending moments, wedging has dramatic effects, decreasing overall values dramatically.