RWY EXCURSION AFTER LACK OF ACCELERATION DURING TKOF CREATES THE NEED FOR ABORT.

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ON AUG/XX/95 AT XA30 EDT DURING TOUCH AND GO OPS AT KISSIMMEE ARPT I NOTED A DEFICIENCY ON AIRSPD INDICATION ON TKOF GND ROLL JUST AFTER FULL PWR APPLIANCE FOLLOWING A NORMAL LNDG ON RWY 06. A SUMMARY OF AIRSPD DEFICIENCY (80 MPH STEADY); A LACK OF ACCELERATION FEELING AND AN APPARENT INSUFFICIENT RESPONSE OF THE ELEVATOR CTL; DOUBLE CROSSED WITH AN APPARENT NORMAL INDICATION OF ENG INSTS; MADE ME DECIDE TO ABORT THE TKOF. DUE TO THE SINGLE BRAKE CTL; PRESENT ON THE STUDENT SIDE (L SEAT); I GAVE INSTRUCTION TO KEEP STRAIGHT DIRECTION CTL WITH PROPER BRAKING SEQUENCE IN ORDER TO MAINTAIN THE CTL OF THE AIRPLANE ON THE WET RWY. MEANWHILE; I RETARDED BOTH THROTTLES AND FEATHERED BOTH ENGS. WHEN THE AIRPLANE REACHED THE GRASS; WE FORCED IT TO TURN TO THE L ON THE ATTEMPT TO AVOID THE DITCH BEYOND THE RWY; AND THE FLAPS WERE LOWERED AT THIS TIME; TRYING TO INCREASE THE AERODYNAMIC BRAKE. THE L GEAR COLLAPSED CAUSING THE L PROP TO STRIKE THE GND. AT THIS TIME THE R PROP WAS ALREADY STOPPED AND THE ACFT KEPT SLIDING ON THE R WING CAUSING THE R GEAR RETRACTION. THE VISUAL ESTIMATE OF THE DAMAGE IS GIVEN BY BOTH MAIN GEARS COLLAPSING AND L PROP STRIKE. A COMPLETE ESTIMATE OF THE DAMAGE WILL BE POSSIBLE ONLY AFTER THE AIRPLANE REMOVAL FROM THE INCIDENT SITE. BOTH THE INSTRUCTOR AND THE STUDENT WERE ABLE TO LEAVE THE AIRPLANE FROM THE MAIN EXIT WITHOUT INJURIES. THE WX RPTED IN KISSIMMEE BY AWOS-3 SYS AT THE TIME OF THE INCIDENT WAS: NO CLOUDS BELOW 12000 FT; VISIBILITY 7 MI; TEMPERATURE 77 DEGS; DEW POINT 74 DEGS; WIND 050 DEGS AT 6 KTS; ALTIMETER SETTING 29.95.