How to get web development work

It seems to be the catch 22 problem you are experiencing, needing experience but cannot get work because of perceived lack of it.

My advice to you would be to go to some of the best freelancing/ crowd sourcing sites and see if there are any contests or projects that you can bid upon.
Ok with a contest you are taking a risk, but the end result will be that you have another design to add to your portfolio.

With luck you could even win the contest too.