I have a problem with a constrained column under thermal stress where I am to find the reaction forces at the supporting ends of the column due to its own weight after being heated. Attached is the problem, equations used, and my solution attempt. I tried to solve for the reaction forces using the equation for the deformation of the column under its own weight and the thermal stress. This class is pretty much all "theory" as the prof. likes to say so we use no #'s.. Is my solution correct? or am I going down the wrong path. Thank you in advance. Also, if anything I have written is unclear, feel free to ask me about it.