This winter's ice raised one of my tie-off pilings. In a prior year, that same piling had broken off at the waterline.

Now that it's useful again, I don't think I'll try to "fix" it.

But
one piling under the dock's end was also raised.
The opposite ("low") piling was pushed towards shore, lost the two shims pictured below, so the dock's end has taken "a list to port". Ten years ago, I had bolted heavy chain to keep ice from moving the piling; otherwise, the end of the dock would have fallen off the piling.

While I can "live with it" I've seen an electrical demolition hammer being used. (It's kind of a mini pile-driver, but powered by electricity).
Barges on Winnipesaukee drive pilings using the same principle of pressurized vibrations. An Internet search of other forums didn't even raise the possibility of using a demolition hammer in this manner.
Sure, it would take more time to drive the "high" piling back down, but I've got all day, so why not buy or rent a demolition hammer for this purpose?
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