I once tried tuning my G up to A and it broke

I was trying to get the DADADD tuning. I then decided to tune it to CGCDCC and use a capo on the 2nd fret.

but i'd like to be able to do this without a capo.

There is a Skid Row wrong where the low A is tuned up to B.

What gauge do i need to use to be able to tune up without breaking the string ?