Is it normal that i can't approach to a girl with whom i get crushed?

Drink a shitload of alcohol and get wasted! Alcohol is "courage juice" it will help you get over your shyness! :)

Ugh... I feel exactly the same at the moment. It is normal. I'll sound like a hypocrite, but you'll regret it if you don't talk to her, so good luck! It is definitely normal.

About the eye contact thing, I can never look my crush in the eyes for more than a couple of seconds before I have to look away. She even notices me doing it and it has become a sort of inside joke; she has started calling it my "shifty eyes". She doesn't even know it is because I like her :( Basically, I relate to you, OP.

I know excacly how you feel. I also has the shyness I can't look at my crush with eye contact without blushing. And it really sucks right?. But don't worry just go and talk to her and youl be fine. Go for it we know youl to fine. =p

I do the same thing on days that I'm feeling down.
(My moods fluctuate)
So just get some confidence. Wear some classy shit and go for it

Problem is, you're thinking with your other head!

Yea it never works. I get really shy with guys I like and then because of not approaching them they never get to know me and I never get to know them. But it is normal.

It's normal. I use to do that just because it made me feel cool to ignore a girl I liked. I thought if i ignored her, she would pay attention to me. Doesn't work. I suggest getting over your shyness and talking to this girl.

You gotta work on your game. Getting over shyness is step number 1, but there is a lot more to it. Some things are easier learned with experience. I would say appproach your crush and talk to her, if you have the courage for it. If not, then start approaching other girls and you'll be on your way to a more confident you. Don't be afraid to make mistakes as they are part of the learning experience.