The announcements came after Cory Morrissey and Tom Farniok announced their new NFL contracts on Twitter.
The 2015 NFL Draft wasn't a good one of the Cyclones, turning up zero draft picks for the first time since 2011 and the third time in the last six years.
Bibbs was one of the favorites for the Cyclones to be a late-round draft pick, but it never came to fruition as 19 tight ends were drafted before the end of the last round.
Bibbs had 45 receptions for 382 yards for Iowa State in 2014, along with eight touchdowns in 10 games, which is tied fourth all-time in school history.