The beavers will dig into the bank to make a den. There's the possibility of the bank caving in at that point, and their den is large enough that an ankle could be twisted, a leg broke if a person falls wrong or if it's the main living quarters of the den, a tractor tire could drop in.....

My feeling is shoot/trap on sight like muskrats.

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3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).