Probably you are trying to do this-
1. Create a backup file from 1st computer
How to Backup a Database using Management Studio[
^]
2. Copy this file to the second computer
3. Restore the backup in the 2nd computer
How to Backup a Database using Management Studio[
^]
4. Do the required changes application config file for Server, Database and login credentials.
Hopefully, it was helpful :)
In case this doesn't resolve your problem, please let me know :)