"We have an extraordinary senior class," Tressel said. "They may have the hardest task of any senior class we've had at Ohio State in a long time, coming off a national championship year.
"A lot of people believe we will have a great season and there are a lot of expectations."
Tressel said the team voted multiple times to break ties in selecting these four as captains.
"I told them we can't have 10 captains. I think we have four great captains, but that doesn't lessen the leadership we will need from our other seniors."
Krenzel, from Sterling Heights, Mich., led the Buckeyes to the national championship as the starting quarterback a year ago. He earned co-MVP honors last year, when he also served for several games -- including the Fiesta Bowl -- as the rotating offensive captain.
"When you come to a place like Ohio State, you automatically feel like you are part of something special," Krenzel said after Friday's rehearsal scrimmage at Ohio Stadium. "There have been so many great players here and to be a part of that is something special.
"But to be named as a captain is a step up even from that. It's a great honor and will be a great challenge."
Jenkins, a native of Tampa, Fla., has led OSU in receptions the last two seasons.
"This shows that the team has put it's trust in us," Jenkins said. "We need to go out and win games like we did last year."
Anderson is a native of Clyde, Ohio. He is a two-year starter at defensive tackle.
"This shows how much they trust in us and believe in us," Anderson said. "They respect us as quality guys to lead this team."
Smith is a native of Utica, N.Y. He has been a two-year starter at defensive end.
"It is a great honor," he said. "There is a great tradition here at Ohio State and I'm proud to be a part of it."
The captains were asked about their take on Clarett's impending suspension. But they made no comment on that situation.
"If you want to ask about that, we're going to be directly up the ramp and on the bus," Krenzel said. "This (press conference) is about us being named the captains."
Bucknuts staff member Dave Biddle will have more on these four senior leaders in the days ahead.