My question is, do I need a Beijing Visa for my entry in Beijing ?

Hi! I'm from Philippines, holding only Shanghai entry permit. My arrival in Shanghail will be Dec26,2018 and want to enter beijing on the same day by bullet train. Then after 2 nights of stay im Beijing I'll go back to Shanghai by train again, I will stay in Shanghai for 2 nights also. Then return to Philipines on Dec 30.
Thank you so much.