1. The problem statement, all variables and given/known data I have an evenly distributed load with overhang and symmetry. I want to express the reaction loads as a function of support distances. I did the the 3 support problem with integrating a load structure and redundant and solving for the center reaction to find the outter supports. 2. Relevant equations As the number of supports goes up so does the unknowns. I need to do this so my customers know how to place the supports in order to not overload the structures. We do have symmetry to work in our favor which should simplify it alittle. 3. The attempt at a solution Go about it like I did for the 3 support system or is there a different approach to take. I included a picture of the next system I want to write an equation for.