[Jamie]

Originally Posted by CaberTosser

Nope nope nope. You won’t be manufacturing a 20’ beam out of 14’ joists. The probable plan would be for one of those four 14 foot joists being anchored to the house and the other three to be sistered together to make your 14’ beam that will be parallel to the house but probably about 17’ away from the house. Joists will be suspended by joist hangars attached to the ledger board at the house and then will run over top of the triple-laminated beam.

No offence, but based on your questions I think you should have an experienced person helping or advising, or hire a professional.

This!!!
If your in Calgary, I have a carpenter that will come and lend you a hand. Of course your going to pay him. But you will be working side by side and learning.