H25B CREW RPTS ABORTED TKOF AT V1 DUE TO TIRE FAILURE.

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IT WAS SUNDAY AFTERNOON WHEN WE ARRIVED INTO ZZZ FOR A SCHEDULED FUEL STOP. OUR TRIP WAS VERY UNEVENTFUL AS WE ARRIVED IN ZZZ. WHILE GETTING OUR CLRNC TO DEST; THE CAPT WORKED ON OUR FUEL LOAD. THE TEMP IN ZZZ WAS 42 DEGS C AND VERY DRY. ONCE WE WERE READY; WE STARTED TO TAXI TO RWY 17. WE WENT THROUGH OUR NORMAL CHKS AND AS THE PF I STATED OUR TKOF BRIEF. IT WAS A NO-FLAP TKOF WITH THE WIND AT 180 DEGS AND 13 KTS GUSTING TO 23 KTS. I APPLIED MAX PWR (8-10 SECOND IDLE TO FULL) AND WE BEGAN OUR TKOF. THE CAPT CALLED OUT 'AIRSPD ALIVE; BOTH SIDES -- 80 KTS XCHK -- V1' AND THAT'S WHEN WE FELT A STRONG VIBRATION IN THE L SIDE OF THE MAINS AND THEN WE HEARD AN EXPLOSION; MAKING THE ACFT PULL TO THE L. THE CAPT THEN CALLED FOR THE PLANE; AND BROUGHT IT BACK TO THE CTRLINE WHERE WE BOTH APPLIED MAX BRAKING; ENGS TO IDLE AND TRIED TO STEER THE ACFT DOWN THE RWY. DUE TO THE HYD LINES BEING RIPPED APART FROM THE SHREDDING OF THE TIRES; WE LOST ALL HYD CAPABILITIES (BRAKES; STEERING; ETC). THE LAST 2000-4000 FT WE HAD NO CTL OVER THE ACFT. THE LAST 1000 FT THE ACFT VEERED OFF TO THE E SIDE OF THE RWY AND CAME TO REST 100-150 FT INTO THE GRASS BTWN RWYS. CONTRIBUTING FACTORS: HIGH TEMP AND HIGH ROTATION SPD.