This is a fairly squichy build compared to the "usual builds" on Braum, but if your team works with you this is possible.
I do recommend building more armor though, something like a Sunfire Cape or Randuins Omen works really well on Braum.
In this game I was satisfied enough with Locket of the Iron Solari, up 'till mid-game. The enemy team really didn't do that much damage after all
Aaaand in teamfights I got a Lee shield all the time, that really helps too