Tuerk, a 6-foot-6, 285-pound senior, was All-Pac-12 Conference last season. He also has started at tackle and guard.
Woods, a 6-foot-1, 320-pound senior, made 37 tackles in 2014, including one sack.
Woods had surgery in December after suffering a pectoral muscle injury. He did not participate in spring practice but is expected to be ready for the start of the season.