When I lived in upstate New York we had a beaver move in and begin a dam that would have flooded a large area of deep woods and killed all the trees. Since it was on a city street and had buildings near, nothing could be done. Until some savage with a Savage shot it in the head with a CB cap. (Strangely, none of the neighbors called it in! Perhaps they couldn't hear the wee report over the artificial gunfire on their TVs and video games?).
By the way, when beavers in an area find a hopeful spot for a dam, they keep tryin'--when you get rid of this one, expect its relatives to try again in the future. CBs come in packs of 50.