Two different tickets

Hello, I have a flight to Shanghai SHA with an overnight layover in Beijing. My hotel is at the airport but not airside. This flight is on 1 ticket. My 2nd ticket departs PVG the day I arrive at SHA and the destination is USA. So I arrive in PEK at 19:30, depart PEK at 8am the next day for SHA. I'll take the train to PVG and depart at 18:30 for US. Do I qualify for a transit free visa? Thank you