Can you get drunk? Is there some kind of screen effect?

I did try drinkin a few bottles of mead but nothing seemed to happen.

I did the same, and nothing happened, so either it was not a very strong mead, or you just don't get drunk.

Nope, no drunkness.
Alcohol are stamina potions that filly our stamina up, but makes it regenerate slower

think u have to partake in a drinking game for anything to happen

The Nords don't get drunk because they handle their mead better!