A KATANA DA20 WITH 2 INSTRUCTORS ABOARD RAN OUT OF FUEL. THERE WAS AN OFF ARPT LNDG AND ACFT DAMAGE PROP AND 'FRONT TIRE.'

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I MET WITH MR X TO DO A CFII TRAINING FLT. MR X PREFLTED ONE OF THE SCHOOL'S NEW KATANA DA20 ACFT. MR X TOLD ME WE NEED FUEL; BUT HE HAD A FEW QUESTIONS TO ASK ABOUT THE LESSON. WE TALKED ABOUT HIS QUESTIONS AND I THOUGHT WE HAD COVERED THEM ALL. HE WALKED TOWARDS THE FLT DISPATCH WHERE FUEL IS REQUESTED. I THEN MET HIM AT THE PLANE; AND HE ASKED MORE QUESTIONS ABOUT THE LESSON AND ACFT NAV EQUIP. THIS DISTR ME FROM CHKING THE FUEL INDICATOR THAT WAS POSITIONED ON MR X'S SIDE. HE WAS SITTING IN THE R SEAT AS A CFII. USUALLY I CHK THE FUEL VISUALLY; BUT WITH THE NEW KATANAS; THIS IS IMPOSSIBLE TO DO. WE TOOK OFF AND WENT TO GLENPOOL VOR TO ENTER THE HOLDING PATTERN AS PLANNED. WE WERE ON THE THIRD TIME ON HOLD WHEN THE ENG BEGAN TO RUN ROUGH. I THEN HEARD THE STUDENT SAY; 'OH SHIT;' AND THE FUEL WARNING LIGHT CAME ON. I TURNED ON THE FUEL PUMP AND CHKED THE FUEL INDICATOR. AT FIRST; I THOUGHT THAT WE HAD LOST THE FUEL INFLT; BUT I THEN REALIZED THAT MR X HAD NOT FUELED THE PLANE TO THE PLANNED 12 GALLONS. I PROCEEDED DIRECT TO RIVERSIDE ARPT AND TOLD TULSA APCH I NEEDED PRIORITY TO RVS. I CHKED IN AND THEY ASKED ME WHICH RWY I WANTED; AND I SAID; 'RWY 1L.' MINS LATER; WE STARTED TO LOSE ALT. I DETERMINED THAT WE WOULD NOT BE ABLE TO MAKE THE ARPT; BUT WOULD HAVE TO LAND IN JENKS. I TOLD THE TWR THAT I COULDN'T MAKE THE ARPT AND I WAS GOING TO LAND IN A FIELD. I BROUGHT THE PLANE DOWN AT 72 KTS WITH TKOF FLAPS AS REQUIRED BY THE CHKLIST. ON SHORT FINAL; I SLOWED TO 60 KTS; WENT AROUND A COW; AND LANDED. ONCE ON THE GND; I APPLIED FULL BRAKING AND FULL BACK PRESSURE TO STOP THE PLANE'S GND ROLL. ABOUT 300 FT INTO THE ROLL; WE STOPPED AGAINST A FENCE; WHICH BROKE THE PROP AND FRONT TIRE. I TOLD MR X TO OPEN THE CANOPY AND GET OUT WHILE I SECURED THE PLANE. I ALSO TOLD HIM TO GRAB THE FIRE EXTINGUISHER THAT WAS ON THE R SIDE OF THE PLANE IN CASE OF A POSSIBLE FIRE. AFTER NO FIRE WAS DETECTED; I RADIOED THE TWR AND GAVE MY POS AND TOLD THEM WE WERE OK. HUMAN PERFORMANCE: I HOPE THAT THERE WILL BE MORE THAN 1 WAY TO CHK FUEL BESIDES THE INDICATOR. THE KATANA'S INSIDE TEMP HAS BEEN MEASURED AT 140 DEGS DURING THE DAY. THIS HIGH TEMP; IN MY OPINION; OFTEN LEADS TO HURRYING TO GET AIRBORNE TO ESCAPE THE INTENSE HEAT. THIS FLT WAS CONDUCTED AT THE END OF THE DAY WHEN THE TEMP WAS 100 DEGS. THESE HIGH CABIN TEMPS WILL LEAD TO POSSIBLY SERIOUS PROBS.