What if the plate was not rigid? Say, it has a rectangular profile of 125mm*30mm. How would I then calculate the X-axis deflection on the rods?
Also, what other things should I take note of? (ie possible bending of the plate, etc?)
The plate connects the three rods/beams 500mm away from the support surface. So yes, since assumed to be rigid, the plate would constraint the three to have the same deflection.
I sketched out a slightly simplified model. It is a cantilever rod with two supporting rods of slightly larger diameter, connected by a plate. (Ignore the weight of the individual parts. For illustration purposes, I draw this to resemble a cantilever beam from the side view but in actual design...