1. The problem statement, all variables and given/known data Firstly, I know posting images and asking for help is generally frowned upon, however in this case given the number of diagrams and equations involved I'm hoping it's warranted. So we're given a diagram as at the top of the attached image and we're asked, given most of the unknowns, to find at what value of 'L3' reaction force no. 2 should be located such that the maximum bending moment is minimised. 2. Relevant equations sum of forces = 0 sum of moments = 0 3. The attempt at a solution see attached image - I have written it out in terms of parameters, however I am at a loss of how to find R1, R2, and L3.. there seems to be too many unknown variables. Any hints would be appreciated.