Flight Crew Air Transport Pilot (ATP)
Human-Machine Interface; Situational Awareness
Inflight Event / Encounter Loss Of Aircraft Control; Inflight Event / Encounter Weather / Turbulence
Flight Crew Regained Aircraft Control; Flight Crew Rejected Takeoff
Human Factors; Weather
A storm front had just passed and medium crosswinds were on the ATIS (290/12/gust 15) and we were taking off 35L.  An MEL existed (Engine A/I Valve partially Open) that required a Max Power Takeoff. We were cleared for Position and Hold. I maneuvered the aircraft to the takeoff position. Moments later; we were cleared for takeoff.  The before takeoff checklist was completed and Max Power initiated. The aircraft began rolling toward the right edge of the runway; while full left rudder was not altering the direction of aircraft to sufficiently avoid exiting the runway (narrower than normal runway 75 feet).  I discontinued the takeoff around 40-50 knots.  We reported our actions to Tower and exited the runway.  We accomplished appropriate checklists and then discussed what happened and what might have contributed to the event. (15-17 knot crosswind from the left; Max Power (P-factor); narrow runway; the Check Airmen said he thought the nose wheel; while in position and hold; was not aligned straight with the runway). After discussing factors; we decided to be more aggressive with rudder and the crosswind; as well as; more awareness of the direction of nose wheel prior to initiating take off power.   On the second takeoff attempt; aircraft still went right with full left rudder. However; once airspeed was 60-80 knots; rudder authority became significant enough to control direction of aircraft and safely continue the takeoff.My assessment of why this happened was primarily attributed to the narrower than standard runway.  Runway 35L is half as wide as most of the runways that we normally operate on. Therefore; the distance from centerline to edge is 37.5 feet vice 75 feet. With the factors present crosswind; Max Power; narrow runway; the sensation of exiting the runway prior to rudder authority was significantly greater than on a runway that is 150 feet wide.
B757 Captain reports a rejected takeoff when aircraft begins to veer right with full left rudder on a narrow runway. A second takeoff attempt is successful.