Why isn’t this just treated as a beam/column, whatever the magnitudes of the axial loads and the moments. Most codes such as ACI and AISC, and most text books on the various materials, cover this problem. You might get better help if you were much more specific about what you were dealing with; some dimensions, sizes, load and moment magnitudes, materials, etc.; we can’t see what you are looking at from here.
I just don’t understand why and how so many OP’ers. assume we all know exactly what problem they are dealing with, and then give the briefest of problem descriptions, as if they were too busy to take the time to define their problem. The pedestal for a bowling trophy is different than the pedestal for a 100ton crane, and we don’t know which you are talking about.