AN EMB140 DEPARTING BNA FAILED TO MAKE A POST TKOF TURN AS CLRED. CAPT NOTES NEW FO; RECENT CAPT QUALIFICATION AND UNFAMILIARITY WITH ARPT AS FACTORS.

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DEPARTING RWY 20C IN BNA. AS PART OF THE TKOF CLRNC; THE TWR ISSUED A R TURN TO HDG 270 DEGS. WE DEPARTED; AND WERE HANDED OFF TO DEP. WE DID NOT MAKE THE TURN AS CLRED. AFTER CHKING IN WITH DEP; WE WERE GIVEN A CLRNC TO 15000 FT. A MIN OR TWO LATER; DEP PROMPTED US ABOUT THE TURN; AS WE WERE STILL ON RWY HDG. DEP GAVE US A R TURN TO HDG 310 DEGS AT THIS POINT. MOMENTS LATER; WE WERE INSTRUCTED TO LEVEL OFF AT 5000 FT. WE WERE CLBING THROUGH 4600 FT; BUT WE MADE THE LEVELOFF AT 5000 FT. THERE WAS NO TFC ON OUR TCAS DISPLAY; NOR WAS ANY TFC OBSERVED LOOKING OUTSIDE. WE DID NOT RECEIVE A TA OR RA. I AM A NEW CAPT AND WAS FLYING WITH A NEW FO. I BELIEVE OUR INEXPERIENCE IN SEAT WAS THE MAJOR CAUSE OF THE DEV. IN ADDITION; BECAUSE I HAD NEVER BEEN TO THIS ARPT UNDER PART 121; I WAS DISTR BY THE TAXI OUT; DEP (TITAN ONE); AND THE ARPT OPS. IN THE FUTURE; I MUST BE VIGILANT ABOUT HDGS WITH TKOF CLRNC. IT IS EASY TO GET COMPLACENT AFTER CONSTANTLY GOING TO ARPTS WHERE YOU ARE ASSIGNED RWY HDG FOR EVERY DEP.