FLC OF BE1900 SENSES A POSSIBLE FLAT TIRE ON LNDG ROLL. THE TWR INDICATES IT APPEARS THERE IS A BLOWN TIRE. ACFT IS STOPPED; PAX DEPLANED.

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WE WERE CLRED FOR AN ILS APCH TO RWY 20R AT BNA ARPT. THE WX AT THE TIME OF THE INCIDENT WAS SCATTERED CLOUDS AT 5000 FT; VISIBILITY 10 MI; WINDS RPTED 230 DEGS AT 7 KTS; TEMP 34 DEGS C AND DEWPOINT 22 DEGS C. THE WT OF THE ACFT AT LNDG WAS APPROX 14700 LBS. THE CAPT WAS THE PF AT THE TIME THE FOLLOWING EVENTS TOOK PLACE AND THESE STATEMENTS ARE TRUE TO THE BEST OF MY RECOLLECTION. THE APCH TO RWY 20R WAS DONE IN VISUAL CONDITIONS WITH THE ARPT BEING IN SIGHT FROM APPROX 7 MI OUT. UPON TOUCHDOWN IT FELT AS THOUGH ONE OF THE R MAIN TIRES HAD BECOME FLAT. DURING THE ROLLOUT; THE TWR PERSONNEL MENTIONED THAT IT HAD APPEARED AS THOUGH OUR R MAIN TIRE HAD BLOWN OUT. CTRLINE CTL WAS MAINTAINED AND THE ACFT CAME TO A FAIRLY RAPID BUT SMOOTH STOP ON THE RWY. AFTER COMING TO A STOP ON THE RWY; WE INITIATED A SHUTDOWN OF THE ACFT BEGINNING WITH A SHUTDOWN CHKLIST. THE FIRST ITEM ON THE SHUTDOWN CHKLIST IS TO SET THE PARKING BRAKE. BOTH THE CAPT AND I LOOKED DOWN AT THE PARKING BRAKE AND NOTICED THAT THE PARKING BRAKE WAS IN THE OFF POS. THE ACFT WAS SHUT DOWN IN A NORMAL FASHION AS THE CHKLIST DICTATES. THE IMMEDIATE CONCERN WAS FOR PAX SAFETY AND TO ASCERTAIN IF AN EMER EVAC WOULD BE NECESSARY. AFTER LOOKING OUT THE COCKPIT WINDOWS; AND I LOOKED OUT OF THE MAIN CABIN DOOR; WE DETERMINED THAT THERE WERE NO FACTORS THAT REQUIRED THE ACFT BE EVACED. I EXPLAINED TO THE PAX WHAT HAD TAKEN PLACE; AND ENSURED THAT ALL PAX WERE UNHARMED. AT THE SAME TIME; THE CAPT COORDINATED WITH THE CTL TWR AND WITH STATION PERSONNEL IN NASHVILLE TO FIND OUT WHAT ARRANGEMENTS COULD BE MADE TO GET THE PAX TO THE TERMINAL. AFTER I COMPLETED A WALKAROUND INSPECTION; IT WAS APPARENT THAT ALL 4 MAIN TIRES HAD BECOME FLAT. SHORTLY AFTER A RADIO CALL WAS MADE TO OPS IN NASHVILLE; VEHICLES ARRIVED ON THE SCENE TO TAKE THE PAX TO THE TERMINAL. I BELIEVE THAT THE PROB WAS MECHANICAL IN NATURE. PRESSURE SOMEHOW BECAME TRAPPED IN THE BRAKE LINES AND LOCKED THE TIRES UPON LNDG. I FEEL THAT THERE SHOULD BE EITHER AN ANNUNCIATOR OR INST GAUGE WHICH INDICATES IF THERE IS HYD PRESSURE IN THE BRAKE LINE. THERE IS PRESENTLY NO INDICATIONS IN THE COCKPIT PERTAINING TO THE STATUS OF THE BRAKE SYS. THERE ARE NO INDICATIONS OF BRAKE HYD PRESSURE; TEMP; BRAKE FLUID QUANTITY; OR EVEN IF THE PARKING BRAKE IS ON OR OFF. THESE INDICATORS WOULD HAVE MOST LIKELY PREVENTED THIS OCCURRENCE FROM TAKING PLACE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATES THAT THE COMPANY REPLACED THE PRESSURE AND FILTERS. THEY DID SOME LIMITED TESTING BUT APPARENTLY DO NOT WISH TO SPEND THE TIME AND MONEY TO TEST ANY FURTHER. COMPANY CHKED THE FDR AND FOUND NO PROBS SO THAT APPEARS TO BE THE END OF THE SIT. THERE WAS A THIRD PLT ABOARD THE ACFT AND HE VERIFIED THAT THE PARKING BRAKE WAS IN THE OFF POS; WHICH WAS THE MAJOR ISSUE THAT MIGHT HAVE CAUSED BRAKE PROB.