BRODS’ form slump continued, their much under-strength team being powerless to prevent City from inflicting a fifth defeat in the last six matches.
Ian Armitage’s side had been leaders after winning their first five games but this setback resulted in them slipping to ninth.
Brods were forced to make 10 changes and had 22 players unavailable so in some ways it was amazing they were in contention until approaching half time.
Mid-table Durham took the lead on seven minutes when a second row powered over on the left.
The hosts added another unconverted try on 15 minutes, their left winger taking advantage of some poor defence.
Brods fought their way back and good work from Danny Wood and James Marshall enabled Matty Hoyle to make it 10-5 with an unconverted try in the corner after 20 minutes.
Missed tackles led to a third Durham try on 22 minutes but Adam Standeven, a prolific scorer down the years, made it 15-10 after half an hour when he chased his own kick and regathered close to the try line.
Skipper Ollie Hawkins suffered a dead leg, which eventually forced him to come off, and Durham took a 22-10 interval lead when they drove over from a lineout and the easy goal was added.
Durham added a penalty at the start of the second half, Rob Jennings coming on to replace Hawkins.
Brods were having real problems at the lineout and Durham moved 30-10 ahead when their strong centre scored with an arcing run, breaking a tackle.
Standeven grabbed his second try with five minutes left but Durham had the last word with a converted try when the blind side flanker and No 8 combined in a move from half-way.