AN MD88 LNDG ON A WET RWY AT DCA BLOWS THE 2 R SIDE TIRES; EFFECTIVELY CLOSING THE RWY WHEN THE CAPT ELECTS TO NOT TAXI THE ACFT WITH DEFLATED TIRES.

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FLT FROM ATL TO DCA ON MAR/FRI/98. THE CAPT OF THIS FLT WAS THE PF. I WAS FO. THE ACFT WAS AN MD88. PREFLT TAXI; TKOF; CLB AND CRUISE WERE UNEVENTFUL. SOME DEV ENRTE ENSUED DUE TO SEVERE WX OVER NORTH CAROLINA AND VIRGINIA. DCA WX WAS RPTED VIA ATIS AS 900 FT OVCST; 5 MI VISIBILITY; LIGHT RAIN AND WINDS 080 DEGS 13 KTS. WE BRIEFED FOR AND RECEIVED VECTORS FOR THE RWY 36 ILS. THE BRIEFING INCLUDED THE USE OF MEDIUM AUTOBRAKES. WE INTERCEPTED THE LOC AND THE DCA TWR ADVISED US THAT THE RWY WAS WET. BUG SPD FOR THE 40 DEG FLAP APCH AND LNDG WAS 134 KTS. WE INTERCEPTED AND FLEW THE GS; BREAKING OUT AT APPROX 800 FT MSL. TOUCHDOWN OCCURRED ON SPD AND IN THE TOUCHDOWN ZONE APPROX 1000 FT DOWN THE RWY. THE CAPT APPLIED REVERSE THRUST AND MANUAL BRAKING WAS APPLIED WELL BEFORE THE 3000 FT REMAINING POINT. THE ANTI-SKID WAS NOT FELT CYCLING BUT THE ACFT DID CONTINUE TO SLOW. WE NOTICED SOME MILD VIBRATION WHICH SEEMED NORMAL FOR THE AMOUNT OF BRAKING. THE CAPT SLOWED TO NORMAL TAXI SPD FOR THE 90 DEG L TURN ONTO TXWY J AT THE END OF RWY 36. WE RPTED BRAKING ACTION AS 'FAIR.' WHILE EXITING THE RWY WE NOTED MODERATE VIBRATION AND THE ACFT WAS LISTING TO STARBOARD. THE CAPT STATED THAT WE MAY HAVE BLOWN BOTH TIRES ON THE R SIDE. THE CAPT ELECTED TO STOP THE ACFT PRIOR TO CLRING THE RWY. WE NOTIFIED THE TWR OF OUR SIT AND THE RWY WAS CLOSED WITH EMER EQUIP RESPONDING -- PAX AND ACR RAMP WERE ADVISED. MAINT CONFIRMED THAT BOTH TIRES HAD DEFLATED. PAX AND BAGGAGE WERE OFF-LOADED; FUEL WAS THEN XFERRED TO THE L TANK AND WE WERE TOWED CLR OF THE RWY TO A NEARBY PAD FOR GEAR MAINT. THE CAPT AND I DEBRIEFED WITH THE DCA STATION MGR AND THE CAPT CONTACTED THE APPROPRIATE FLT OPS MGMNT PERSONNEL. WE WERE RELEASED AT APPROX AB00 HRS PM EST.