Narrative:

Upon climbout in the transition into the flight levels; we received a low pressure light on the left center fuel pump. However; there was still center tank fuel left in the tank; roughly 300lbs. In reading the verbiage that is incorporated in [the manual]; I turned off the associated fuel pump switch that illuminated the low pressure light. Based on the [manual] language; since there was still remaining fuel in the center tank; I did not shut off the right center pump.during this time; the first officer noted a declining brake accumulator pressure; as it had fallen below the green band. We started having a systems-based discussion and referencing the QRH. We also started a timer to see if we could quantify a decline rate with an elapsed period of time. After we had this discussion and felt comfortable with our remedy; we noticed the imbal on the fuel quantity indicator. I immediately recognized the right center pump position and positioned it off; although I did not see a low pressure light on that pump. I then opened the crossed valve and configured in a manner to remedy the imbalance. All told; the imbalance only went 40lbs beyond the 1000lb limit - (left) 7290lbs and (right) 8330lbs. Once the imbalance was remedied; I reconfigured the fuel panel for normal operations. I did send [maintenance] a message and made a corresponding logbook write-up. Additionally; we did notice a continual decline beyond normal brake accumulator pressure and made a corresponding logbook write-up which precipitated a gauge replacement and accumulator service.

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Original NASA ASRS Text

Title: The Captain of a B737 reported that with fuel remaining in the center tank the low pressure light illuminated with the pump selected to on. Additionally; the Captain noticed a continual decline beyond normal brake accumulator pressure.

Narrative: Upon climbout in the transition into the flight levels; we received a LOW PRESSURE light on the left center fuel pump. However; there was still center tank fuel left in the tank; roughly 300lbs. In reading the verbiage that is incorporated in [the manual]; I turned off the associated fuel pump switch that illuminated the LOW PRESSURE light. Based on the [manual] language; since there was still remaining fuel in the center tank; I did not shut off the right center pump.During this time; the First Officer noted a declining brake accumulator pressure; as it had fallen below the green band. We started having a systems-based discussion and referencing the QRH. We also started a timer to see if we could quantify a decline rate with an elapsed period of time. After we had this discussion and felt comfortable with our remedy; we noticed the IMBAL on the fuel quantity indicator. I immediately recognized the right center pump position and positioned it off; although I did not see a LOW PRESSURE light on that pump. I then opened the crossed valve and configured in a manner to remedy the imbalance. All told; the imbalance only went 40lbs beyond the 1000lb limit - (L) 7290lbs and (R) 8330lbs. Once the imbalance was remedied; I reconfigured the fuel panel for normal operations. I did send [maintenance] a message and made a corresponding logbook write-up. Additionally; we did notice a continual decline beyond normal brake accumulator pressure and made a corresponding logbook write-up which precipitated a gauge replacement and accumulator service.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.