To solve the load of beam by shearing force diagram and bending moment diagram-Reverse thinking in strength of materials

The paper has a discussion of forward problem and inverse problem for beams in strength of materials. Known load case of a beam can certainly determine its shearing force diagram and bending moment diagram, but conversely, there may be a variety of statically determinate or statically indeterminate constraint conditions. Furthermore, the solution from statically indeterminate constraint conditions doesn't agree with the given shearing force diagram and bending moment diagram in a general way.