I've had more than several occasions (particularly when much younger during lates teens and twenties especially) when I experienced what I think you're speaking of.
The erections were so intense that there was indeed an uncomfortable "burning" type (even reminds one of "raging") sensation whereby if something didn't happen soon (as in ejaculation) who knows what would have happened. Along with that, there was just a gnawing uneasiness and tension "throughout the system" until final relief came. THAT'S how I can describe it.
(I wonder if the women around here even know what some of us guys encounter with being male?)
Even at this (ahem, -- later time of life) I still have occasions whereby relief must come, the sooner the better. And, if I'm not experiencing the raging hot, super-hard erections, I will still notice that (almost tormenting) degree of needing release in order to resolve all the inner turmoil going on.