A LNDG TAXIING ACR WDB SKIDS OFF THE SIDE OF THE TXWY; STRIKING 2 LIGHTS; WHEN THE CAPT IS UNABLE TO MAKE A R TURN TO FOLLOW THE TXWY.

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NORMAL APCH AND LNDG TO RWY 16 DEN. CEILING AT 036 BROKEN; LIGHT RAIN SHOWERS. SMOOTH MAIN GEAR TOUCHDOWN. WHEN NOSEWHEEL LOWERED TO RWY; WE FELT HVY SHUDDER/VIBRATION VERY MUCH LIKE A DEEPLY GROOVED RWY FEELS. THE AIRPLANE MOVED ABOUT 10-15 FT L OF CTRLINE; BUT THIS WAS NEITHER ABRUPT NOR ALARMING. WE SLOWED TO NORMAL EXIT SPD AND TOOK HIGH SPD EXIT F4; A L TURNOFF. THINGS WERE NORMAL UNTIL CAPT TRIED TO MAKE AN EASY R TURN ONTO TXWY F. THE ACFT DID NOT TURN BUT CONTINUED ALMOST STRAIGHT AHEAD TO TXWY EDGE ACCOMPANIED BY LOUD AND VIOLENT SHUDDERING. THE CAPT USED FULL R TILLER; R RUDDER AND BRAKE AND SOME ASYMMETRIC THRUST TO ATTEMPT TO AVOID LEAVING TXWY. THE ACFT'S L MAIN TRUCK LEFT THE RWY ONTO THE INFIELD AND ALSO BROKE 2 TAXI LIGHTS. WE CAME BACK ONTO THE TXWY AS WE GOT THE ACFT STOPPED. WE CALLED MAINT WHO CAME OUT AND INSPECTED THE L MAIN GEAR AND CLRED US TO TAXI TO THE GATE. TAXI WAS NORMAL USING ONLY L TURNS TO PARKING. AT THE GATE; MAINT PERSONNEL FOUND THE L NOSE GEAR STEERING ACTUATOR SHEARED; RENDERING R TURNS INOP. DURING TAXI; THE #1 HYD SYS DRAINED TO ZERO; RENDERING ANTISKID INOP. SUPPLEMENTAL INFO FROM ACN 435855: ATTEMPTED GRADUAL R TURN ONTO TXWY F BUT ACFT DID NOT RESPOND TO TILLER MOVEMENT FOR THE TURN. PAX WERE ADVISED OF POSSIBLE MECHANICAL PROBS. CREW ALSO THOUGHT THAT THE ACFT MIGHT HAVE STRUCK TAXI LIGHTS FOR IT SEEMED APPARENT THAT THE L MAIN GEAR HAD DEPARTED THE TXWY DURING THE TURN. RPTED THIS TO TWR AND REQUESTED THAT THEIR OPS PEOPLE MAKE A VISUAL INSPECTION OF THE AREA AND RPT BACK TO US. COMPANY MAINT SHORTLY THEREAFTER CONFIRMED THIS. THEY INSPECTED THE L MAIN GEAR AREA AND RPTED IT WAS MUDDY BUT IT WOULD BE SAFE TO TAXI TO THE GATE. THE L STEERING CYLINDER ON THE NOSEWHEEL WAS SHEARED OFF AND THERE WAS HYD FLUID LEAKING FROM THE AREA. THIS PRECLUDED US FROM MAKING R TURNS.