Well we got off the runway, jobs over right?

Not so Fast, we haven't discussed obstacles in our takeoff flight path.

Thats the great part of a runway analysis it takes into account the critical engine failing at V1, and continuing the flight path with one engine inoperative.

The analysis will have all the obstacle data for the runway in it's database.

This analysis determines the following limit weights:
Field Length Limit
Brake Energy Limit
Tire Speed Limit
Minimum Control Speed Limit
Obstacle Limit
Takeoff Thrust Limit
Climb Limit

The most restrictive value of above limits becomes:

Performance Limit Weight

(How long would it take you to find the above limits in the AFM?)