Kiki, as kindly as I can say this, I am suggesting that first you address your own anger management. I too used to fly off the handle when something troubled me, and it never solved anything, just made me sick too.
Being upset because your daughter is being abused and your granddaughter is a victim, is very valid. You can't do anything about your daughter, she isn't a prisoner there and can leave if she chooses, a women's shelter will help her if she is afraid. But the child should not have to go through that. Bringing her to stay with you may only cause more family anger, fights and chaos.
Can another family member take care of her? Can Children's Services check in on her and see how she is doing?
I don't have all the answers, I may not have any, but it's a sad situation and someone needs to be the voice of this child.
Hugs to you, I'm sure it hurts your heart to go through this.