S., it's hard to manage when you are tired and worn out at the end of the day. But being a good mommy means learning how to take care of a child.
The title of your post says "daughter of 11 months". Your post says your "daughter of 11 years". I'm going to assume she is a baby, not a pre-teen.
You cannot make your baby calm if you are angry. You say you "can't take it". But you have to take it because you gave birth to a baby, not a tiny adult. You don't get to "make her" go to sleep. It doesn't work that way.
There are lots of reasons why sleep is disrupted for a child. Teething, sickness, an awareness of being really alone, you putting her to bed later than normal because of travel, etc. You CANNOT blame her for this. If you get angry and yell at her, then you are being a bad mother.
Give her some cereal with formula in it before you put her to bed. She needs a full tummy. NO TV - she needs to be calm instead of excited. Quiet bath and you in her room with her dressing her for bed, reading her a book, laying her in her crib and patting her back while she is still awake. If she needs a night light, that helps. Walk out of the room and close the door, letting her fuss or cry while she settles herself. This is called "self-soothing". If she cries for more than 15 minutes, go back in and sit down beside the crib closest to her feet. Don't look at her, don't talk to her. Just sit there and put your hand through the slat and stroke her foot. She will finally lay down because she will be tired of standing up. Don't get up from the chair. Don't pick her up. Don't look at her. Don't talk. Don't do anything but stroke her foot or face if she changes positions. It might take a long time, but she will eventually fall asleep.
If she wakes in the middle of the night, do the same thing. She will eventually stop waking up. This is sleep training and it's HARD. It will only work if you are 100% consistent. You don't have to go in to her straight away when she starts crying. Wait about 15 minutes. It's hard to do that - watch the clock. But you just MUST NOT GET ANGRY WITH HER! It does no good! All it does it hurt her, hurt what you are trying to accomplish, and make you a very bad mommy.
Reading about child development would help you a lot right now. Go to your public library and ask the librarian for help. Tell her how old your baby is. You need to do this for you and for her.