Product review (5 stars): Has Stopped the Banging So Far
First, some high praise for Thrifty Appliance Parts or Home Appliance Parts which ever is the seller.  The kit was missing one of what I think are called balls. I contacted Amazon who contacted the seller and they overnighted me a new kit and didn't require I return the first.  With this quick replacement I fixed the machine 4 days before the end of the original delivery window. My maxim on this is, you really never know how good a supplier is until you see how they handle it when something goes wrong.

I think this has fixed the out of balance banging of my Kenmore Oasis Washing machine model 110.28042700 type 581.  A few more loads and I'll be sure.  The replacement wasn't particularly difficult but I had a couple of problems. To find the best video for replacement google youtube for "Washer Suspension Rod Kit".  Also, many thanks to whoever suggested hooking the new rod with the old one to pull it through the upper hole to install the ball.  This way I could grab the old rod with ViceGrips an use that to pull the rod up.  I'm 80 so not as strong as I once was.  The pliers allowed me to use both arms while my wife snapped the ball in place.

For me, the two hardest parts were opening the washing machine lid and and figuring out how to release the spring down in the bottom.

In the video, releasing the lid looks so easy.  I would compress the retaining spring all the way to it's limit over and over and the lid would not release.  Finally, with the spring compressed to it's limit I used a screwdriver to pry the lid off the spring. I was afraid it would booger up the finish but it didn't.  I had to do this for both springs.

I spent a lot of time trying to figure out how to release the spring. It's down near the bottom of the washer and you can't see it well. I turns out you pinch two tabs on the keeper that hold it in place.  I only figured that out by looking at the replacement part. I'm posting a picture that may help if you have this problem.

8-22 UPDATE:  I'm now sure.  It definitely fixed our out of balance, UL, banging problem.  Hasn't happened once since.  Used to happen almost every load and it's now been about 60 loads without a problem.