NO!!! Don't remove the spider. On each end of the two tubes there is a ring held in place by 6 screws. Unscrew these and lift them off the tube.
The first three are easy, but the last one supports the mirror, so be careful!!
You will have to remove the mirror just like when you replaced the springs.
DO NOT take the mirror off it's cell, only the end ring.
I hope I explained this clearly
