ACR MLG CAPT THINKS HE MADE A TKOF USING A CLOSED PORTION OF THE RWY.

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FLT TAXIED TO RWY 31 AS PER INSTRUCTIONS FOR TKOF AT T-6. WE WERE DIRECTED TO TAXI TO 31 VIA LIMA AND LIMA 6 AND HOLD SHORT AS THERE WAS AN ACFT ON FINAL APCH TO RWY 31. THE ATIS INFO STATED THE SE 740 FT OF RWY 31 WAS CLOSED. I WAS EXPECTING TO TAXI TO THE RWY VIA L-5 BUT WAS TOLD TO USE L-6. TWR INSTRUCTED US TO TAXI ONTO RWY 31 TO TURN R AND TAXI INTO POS. I WAS CURIOUS ABOUT THE ATIS INFO BUT DID NOT GET A CHANCE TO ASK AS WE WERE CLRED FOR TKOF. I HAD GIVEN THE ACFT TO THE FO AND THE CHKLIST WAS COMPLETE; SO HE APPLIED PWR FOR TKOF. SINCE THEY CLRED ME TO RWY 31 VIA LIMA 6 AND INTO POS; I ASSUMED ALL THE RWY WAS AVAILABLE IN SPITE OF THE INFO ON THE ATIS. AFTER WE DEPARTED BNA I BEGAN TO WONDER IF WE WERE ALL ON THE SAME PAGE. GND NOR TWR NEVER MENTIONED ANY RWY CUTBACK AND THERE WERE NO VISUAL INDICATIONS; LIGHTS; BARRIERS; ETC TO INDICATE ALL THE RWY WAS NOT AVAILABLE. I WILL MAKE IT A POINT TO ASK NEXT TIME BUT IF THE ATIS IS NOT APPLICABLE BECAUSE OF TIME OF DAY OR WHATEVER REASON; THE INFO SHOULD BE AMENDED OR THE PLTS MADE AWARE OF THE CHANGES. ALSO; THERE SHOULD BE LIGHTS OR SOME MARKINGS IDENTING THE NEW THRESHOLD OF THE CUTBACK AREA.