This is a compound word, combining benevolence and violent.
Beneviolence encapsulates the feeling you get when you encounter a level of stupidity that upon first reflex should warrant physical harm. Yet instead of responding with destruction you cordially grit your teeth and hide your rage with a smile... because in the grand scheme of things you feel pity for the sad individual that inspired this feeling.
1. Josh's beneviolence was beggining to show as he was cleaning up the messes of his clueless co-workers.
2. When seeing the mess that little Johnny made, I reacted with enough beneviolence to let him know that he was in trouble.
3. Your beneviolence is gonna make you grind your teeth down to nubs... you should just let it out one day...