You being an ex cop, it makes me wonder why you would say the beam is held up by two insane people....
Regardless, my common sense says the bar will break at the things holding it up (either end, perhaps both, or the things themselves), since those aren't as flexible as the middle part of the bar, where the two people are sitting.
But then again, my "common sense" is mostly pretty fucking shitty, which is why I tend not to rely on it.