When a person or pet has pushed every button possible to get you angry enough that you would like to strangle them.
But instead of committing the actual crime of strangling someone or thing to death, you just threaten them with a trip to stranglesville.
But due to certain conditions or situations a trip to stranglesville may actually include a certain amount of strangulation.
Dude 1: Yo homie, I think my girl might be going behind my back!
Dude 2: Damn bro! If that's true I'd be taking her on a trip to stranglesville!