LTT FLT CREW HAD THE ACFT SPOILERS FAIL TO DEPLOY ON LNDG; AND HAD NO ACFT BRAKES. THE CREW SWITCHED TO EMER BRAKES. 2 TIRES ON 1 TRUCK WERE BLOWN.

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LNDG TOUCHDOWN WAS NORMAL (NOT TOO SOFT; NOT TOO HARD). AT TOUCHDOWN; AS THE PNF; I EXTENDED THE SPD BRAKES. THE SPD BRAKE SWITCH FELT 'DISCONNECTED.' I SAID: 'THE SPD BRAKES DID NOT EXTEND.' WE ARE TAUGHT IN TRAINING THAT IF YOU LOSE YOUR SPD BRAKES; YOU MAY HAVE ALSO LOSE YOUR WHEEL BRAKES. I SAID: 'DO YOU HAVE WHEEL BRAKES?' THE PF SAID: 'I GOT NOTHING. I'M GOING FOR EMER BRAKES.' WE ARE ALSO TAUGHT THAT DISCONNECTING THE ANTI-SKID SYS MAY RETURN BRAKING ACTION; BUT WITHOUT THE ANTI-SKID SYS. I SAID: 'I'M TURNING OFF ANTI-SKID.' THE PF SAID: 'I GOT BRAKES NOW.' WE STOPPED BY THE END OF THE RWY. WITH ABOUT 200 FT REMAINING I NOTICED THE SPD BRAKES HAVE NOW EXTENDED. I SAID: 'THE SPD BRAKES ARE EXTENDED; I'M TURNING BACK ON THE ANTI-SKID.' AS WE TURNED TO EXIT THE END OF THE RWY; WE FELT AN AGGRESSIVE SHAKING FROM THE UNDERSIDE OF THE PLANE. I SAID: 'FEELS LIKE WE BLEW A TIRE. CAN WE MAKE IT OFF THE RWY?' ATC WAS JUST THEN ASKING IF WE NEEDED ASSISTANCE. I ASKED THEM TO: 'STANDBY.' THE PF SAID: 'NO; WE CAN'T KEEP GOING.' I ASKED ATC TO DISPATCH A TUG; AND STATED THAT IT WAS JUST THE CREW ON BOARD; AND THERE WAS NO NEED FOR MEDICAL ASSISTANCE. ATC ACKNOWLEDGED THAT THE TUG WAS ON THE WAY. THE TUG WAS CONNECTED AND TUGGED THE REMAINING BIT OFF THE RWY (ABOUT 40 FT) ON THE RUBBER OF THE DEFLATED TIRES (BOTH TIRES HAD BLOWN). THE RWY WAS CHKED FOR FOREIGN OBJECT DAMAGE; AND ONLY 1 PIECE OF RUBBER ABOUT THE SIZE OF A MATCH BOOK WAS FOUND. TO THE BEST OF MY KNOWLEDGE THE RWY WAS REOPENED AT THAT TIME.