I may be a little late in giving you this information, as I can see that you have already ordered a replacement shoe, but just in case you would like some information, I have it below.
I replaced a shoe foot on my AF360FGZ because it had split. It seems like as was already mentioned in this thread, they (the springs) are meant to supply a tension for the contact pins that protrude when connecting to the camera hot shoe. If you look at the photo I provided in my thread, there are two holes, and the center pin. The metal piece that you can see to the right (on the table also) seemed to hold the springs in some way in conjunction with the two holes on the foot and the center pin. I looked for more pictures that I may have had for it, but do not have them on hand, otherwise I would go into more detail that might help.
A shortcut to the thread I had made that contains the picture (second page of posts) in conjunction with the repair is below. Good luck with your repair.
AF360FGZ Hot Shoe Split - Page 2 - PentaxForums.com