FLT INSTRUCTOR OF AN SMA SEL COMPLEX ACFT LOST CTL DURING A XWIND LNDG AND CRASHED OFF THE SIDE OF THE RWY RESULTING IN THE NOSEWHEEL GEAR SEPARATING FROM THE ACFT. IT WAS CLASSIFIED AS AN INCIDENT. THERE WERE NO INJURIES.

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I TOOK OFF IN AN ACFT FROM LAS WITH 4 PAX AND THEIR BAGGAGE AND FULL FUEL. MY CTR OF GRAVITY WAS WITHIN LIMITS. WE WERE ENRTE TO VISALIA; CA. THE DENSITY ALT BROUGHT OUR SVC CEILING DOWN TO 8500 FT AND I KNEW WE WERE GOING TO HAVE TO GO TOWARDS THE S; WHICH WAS THE LONG WAY TO GET HOME. MY STUDENT; WHO HAD RENTED THE PLANE AND ME TO GIVE HIM INSTRUCTION SINCE HE DIDN'T HAVE ENOUGH TIME MAKE AND MODEL; WANTED TO TRY THE MORE DIRECT WAY. WE WERE UNABLE TO CLB OVER THE MOUNTAINS; THOUGH; AND HE DECIDED TO GO BACK TO VEGAS AND DEPART LATER; WHEN IT WAS COOLER; INSTEAD (IT WAS CLASSIFIED AS AN INCIDENT) OF GOING THE LONG WAY. SO WE BEGAN OUR DSCNT TO VEGAS AND IT GOT EXTREMELY BUMPY; SO HE TOLD ME TO TAKE THE PLANE. I HAD LISTENED TO ATIS TWICE; BUT CAN'T REMEMBER THE DIRECTION OR VELOCITY OF THE WINDS. I DO KNOW THAT IT WASN'T GUSTY; BECAUSE I HAD BEEN EXPECTING IT DUE TO THE ROUGH RIDE. I WAS ON FINAL AND REMEMBER FIGHTING IT ALL THE WAY DOWN. THERE WAS A BAD L XWIND. WE WERE LNDG ON RWY 19R. I REMEMBER LOOKING FOR THE WIND SOCK AND NOT BEING ABLE TO FIND IT. I KNEW FROM THE AFD THAT IT WAS BTWN RWY 19L AND RWY 19R; BUT I DID NOT SEE IT. THERE WERE RPTS OF DUST DEVILS FROM OTHER PLTS AND THE WINDS WERE GUSTY; BUT I HAD LANDED IN WORSE WINDS BEFORE FINE. SO I CONTINUED. WE TOUCHED DOWN FINE AND THEN WE BECAME AIRBORNE AGAIN. (ON FINAL I HAD NO FLAPS; DUE TO THE WIND.) ONCE WE WERE 'LIFTED' FROM THE RWY; WE SET BACK DOWN AGAIN; BUT THIS TIME BEGAN TO PORPOISE SO I INITIATED A GAR. WE HAD SUFFICIENT AIRSPD AND I STARTED TO CLB OUT. I HAD JUST PUT THE GEAR HANDLE IN THE UP POS WHEN I SAW THAT WE WERE GOING BACK DOWN. BECAUSE THE GEAR LOCK WAS DISENGAGED; THE NOSE GEAR COLLAPSED AND IT WENT SKIDDING OFF THE RWY. I FEEL IF THERE WERE ANOTHER WIND SOCK TOWARDS THE MIDDLE OF THE RWY; IT WOULD BE EASIER TO SEE IN SITS LIKE THIS. LAS HAS SOME EXTREME WIND CONDITIONS THAT CAN CHANGE CONSTANTLY AND THE MORE PLTS ARE AWARE OF THE WINDS; THE SAFER ALL IS.