Hi, Everyone,
We have almost completely stopped the racking. Steve, your advice hit the nail on the head (plus we appreciated the other reply, too, of course.).
We did another big support piece on top. That was your concept of the triangle going from every other post. We don't think it's necessary to do a second large triangle using the other posts and kind of like the airiness of just having one. One removed a lot of the racking.
In the books we had referenced, they had set the posts in concrete and we hadn't wanted to do that and used pier and post on it. If they'd been set in concrete, this would have handled a huge amount of the racking and we think this is why the books didn't go into the racking aspect to any huge extent. But we've always thought that wood set in concrete can have a problem with rotting out and we didn't want to do it that way.
We also found that putting triangles between the railings and tying it directly to the floor and floor joist below made a huge huge difference. The lateral motion gets directed directly down into the floor so that solidified the structure a great deal, also. We didn't expect it to have that much of an effect but we're quite happy that it did so. Also, the support pieces for the roof rafters went back in just fine and we'd used screws on all of those so it was pretty simple.
The tinyurl previously posted will show anyone interested what we did.
Things seem to be on track at this point.
Thanks again for the info. Hope our feedback may prove useful to someone else. You never know.
~~Less Puzzled ~~