This is a very common calculation in naval architecture. Inputs to the calculation are the hull lines, a longitudinal weight distribution, a longitudinal strength report/drawing/analysis. This is when it is easiest to break the ship, by the way. The rough rule of thumb for ships is that 80% of the load is carried by the keel, the remaining 20% by the side blocks. For a cradle design, it is more even. The cradle suppurts should be girth-wise (a transverse slice) that occur at major subdivision bulkheads or at least on structural frames. You can calculate reaction forces using simple beam theory, with the section modulus coming from the longitudinal strength analysis. If you have GHS software, this is super easy using the Multi-Body module and ground forces.
Hope this helps and its not too late.