I still can't figure out exactly how each section makes the next one move up with it. I hope you send some pictures all along so perhaps I can understand it.
The are 4 sets of pulleys and chains. The cylinder pushes up on the
axle of the first pulley, which is attached to the top of the 2nd stage. The
first stage is stationary, attached to the base. The chain goes over the
pulley and one end attaches to the stationary stage, and the other end
attaches to stage 3. If you can see how stage 2's chain acts on stages 1 and 3, then then another pulley is at the top of stage 3, and its chain is
attached to stages 2 and 4. Clear as mud? Perhaps I can draw a sketch
and scan it later. It won't be pretty.
Since chain has little resistance when you push it, the cables keep everything
tight (hold the stages down).
Here are some pix of the chains and pulleys, after I got everything cleaned
up and re-assembled. In the first photo, you see the socket head bolts.
The roller caps rub inside the stage's channel, and the shims (see prev
photo) give you the correct clearance. The channels are waxed before
final assembly. The second photo is an end view where you can see all
the stages, each with different size chains and pulleys.
The chain is not your garden variety roller chain, like you have on your
bicycle. It is called "leaf chain", which is much stronger and much more
expensive. Each segment is made of multiple plates or leaves. Forklift
enthusiasts know about this stuff. I cleaned all of mine and all were within
spec, so I did not replace them. All lubed up with gear oil, too.
Next will be the framework.