A DHC8 PIC NARROWLY AVOIDS A CESSNA TYPE ACFT AS BOTH ACFT WERE IN THE TFC PATTERN FOR DIFFERENT RWYS AT EUG; OR.

Narrative

AFTER BEING CLRED FOR A VISUAL APCH; WE WERE FOLLOWING THE LOC AND GS TO RWY 16 AND IN CONTACT WITH TWR. ATC WAS ALSO HANDLING SEVERAL ACFT IN R TFC FOR RWY 21. AT APPROX 4.5 DME; WE RECEIVED A TCASII TA FOR TFC AT 12 O'CLOCK POS AT OUR ALT. A FEW SECONDS LATER; WE RECEIVED AN RA TO CLB. I PITCHED UP AND BANKED TO THE R. I THEN CAUGHT SIGHT OF THE CESSNA AT 11 O'CLOCK POS MOVING TO MY 9 O'CLOCK POS. I LEVELED; PROCEEDED TO LAND WITH A STABILIZED APCH. THE CESSNA TOOK NO EVASIVE ACTION. TWR WAS IMMEDIATELY NOTIFIED OF THE RA ACTION. I ALSO TELEPHONED THE TWR SUPVR AND ISSUED AN NMAC RPT. IT APPEARS THAT EUGENE TWR ASSUMED THAT THE OTHER ACFTS' PATTERNS FOR RWY 1 WOULD PASS OVER THE APCH END OF RWY 16 THEREBY NOT CREATING A HAZARD. THIS CESSNA; HOWEVER; HAD FLOWN A WIDER PATTERN THAT FLEW THROUGH THE GS 3.5 MI FROM THE END OF RWY 16. ADDITIONALLY; THERE WAS ANOTHER ACFT BEHIND THE CESSNA IN THE PATTERN THAT COULD HAVE CREATED ANOTHER HAZARD WITH THE EVASIVE ACTION TO THE R. THIS WAS THE LAST LEG OF A 7 LEG TRIP ON A 10 HR DUTY DAY.