Tiwary, who began at his overnight score of 73, and Shahbaz Nadeem (51) shared a crucial 74-run stand for the eighth wicket to put their side in a position from where they could fight.
In reply, Andhra reached 132 for four with Amol Majumdar (41) and AG Pradeep (38) putting up an unconquered 78-run stand for the fifth wicket.
Their stand rescued the visitors as they were reeling at 54 for four at one stage.
Brief Scores:
Jharkhand 1st innings: 257 all out in 106.4 overs. (S Tiwary 119, S Nadeem 51; S Sahabudin 4/39)
Andhra 1st innings: 132 for 4 in 45 overs. (A Majumdar 41 batting; Saunnt Gupta 2/45).