Using account on another pc bannable?

[Caraway]

The only thing SE can track about your account usage is the IP address associated with it, and even then they won't ban the account unless they see it trying to be logged into from different addresses rapidly.

And even then they wouldn't likely ban it. They'd be more likely to lock it and send you an email indicating suspicious activity and ask you to change your password for fear of your account being hacked.