Rising sophomore earned wild-card entry into US Open qualifying tournament as singles runner-up.
Hance, Nanda and Zahraj each registered GPA of 3.50 for recently-completed academic year.
Former NCAA singles champion won three matches in four days to advance out of qualifying rounds.
Seven new members will be inducted on Nov. 2.
Altick, Bendetti and Smith totaled 10 wins; Altick earned top spot in singles consolation draw.
Pac-12 Networks' Kate Scott recaps UCLA men's and women's victories in the NCAA doubles matchups.