ACR CLRED FOR CHARTED VISUAL APCH LANDS ON RWY SHORTENED BY CONSTRUCTION.

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NEAR THE END OF A LONG DAY; WE WERE FLYING A VISUAL APCH INTO RENO. THE CLRNC GIVEN WAS 'YOU'RE CLRED THE SPARKS VISUAL TO RWY 16R.' WE MISSED THE CALL TO LAND ON RWY 16L AND PROCEEDED TO LAND ON THE RWY WE ALWAYS LAND ON (RWY 16R). ONLY THE FIRST 6000 FT WERE OPEN AND WE DID NOT SEE THE BARRELS UNTIL THE NOSE GEAR CAME DOWN. THE ATIS SAID THE FIRST 6000 FT WERE OPEN FOR ARR ON RWY 16R; BUT NOTHING ABOUT THE RWY BEING CLOSED. WE WERE BEHIND AND HAD NOT TAKEN ADEQUATE TIME TO READ ALL THE NOTAMS FOR RENO. WE HAD FLOWN INTO RENO EARLIER THIS MONTH AND THERE WAS NO CONSTRUCTION ON RWY 16R. ADD THIS TO A 12 HR DAY AND BOTH OF US MISSED IT. THIS PROB COULD HAVE BEEN AVOIDED IF I HAD READ THE NOTAMS. IF THE ATIS CLRLY STATED RWY 16R WAS UNDER CONSTRUCTION AND CLOSED PAST LIMA INTXN. IF TWR HAD NOTICED WE WERE ABOUT TO LAND ON THE WRONG RWY. IF TWR HAD CONFIRMED LNDG ON RWY 16L ON MY READBACK. IF INSTEAD OF GETTING THE SPARKS VISUAL TO RWY 16R WE WERE GIVEN AN INITIAL CLRNC TO LAND ON RWY 16L. IF WE WERE NOT RUSHED BTWN FLTS. IF WE HAD QUESTIONED THE VAGUE ATIS OF 'THE FIRST 6000 FT OF RWY 16R ARE AVAILABLE FOR ARRS ONLY. SUPPLEMENTAL INFO FROM ACN 450312: TELEPHONING THE TWR ON THE GND; THEY SAID THEY WOULD EXAMINE THE TAPES. WHEN I CALLED BACK; THEY TOLD ME THAT I WAS CLRED FOR SPARKS VISUAL APCH TO RWY 16R; BUT TWR CLRED ME TO LAND RWY 16L. WE LANDED ON A RWY THAT WE WERE NOT CLRED TO LAND ON. THERE WAS NO SEPARATION PROB OR CONFLICT; OTHER THAN THE CONSTRUCTION (SAFETY ZONE) AREA FURTHER DOWN THE RWY; AND THIS WAS THE REASON FOR THE CLRNC TO LAND ON THE L RWY. HAD I NOT RUSHED; I WOULD HAVE NOTED ELSEWHERE THE CONSTRUCTION NOTED ON A PORTION OF RWY 16R. THIS WOULD HAVE CAUTIONED ME TO BE HEADS-UP FOR RWY 16L. THE CTLR SHOULD HAVE SAID; 'SPARKS VISUAL RWY 16L.' NO REASON TO EVEN MENTION THE R RWY. ON SWITCHING TO TWR; WE WERE CLRED TO LAND. THE TWR PERSONNEL SAID WE WERE TO LAND RWY 16L; BUT WE DID NOT HEAR THIS -- PROBABLY BECAUSE WE WERE SET TO LAND ON RWY 16R. RWY 16L IS NOT NORMAL ACR LNDG RWY. AND SINCE THIS WAS A FAIRLY RECENT CHANGE; THE CTLR SHOULD HAVE BEEN MORE EMPHATIC IN HIS CLRNC; OR ALERT TO OUR RESPONSE TO THE CLRNC. THIS IS NOT MEANT TO IMPART BLAME; BUT IT SURE WOULD HAVE BEEN HELPFUL TO US IN THIS SIT.