As far as I know, the trimming would be done using the assembly boolean tool which can "add" solids together or "subtract" them from each other. So you would create your assembly allowing the 10' sticks to interfere, then choose the assembly boolean tool and cut/subtract. The catch is that the piece that gets "cut" or trimmed loses its design/feature tree. In other words, it becomes a dumb blob that cannot be edited.
For example, suppose the tubes had holes spaced evenly along their length. Those holes would not be editable anymore once the stick was boolean'ed.