Ohio trailed 38-34 with 16:12 left, but went on a 19-4 run and extended the lead wide enough to sit most of its starters for the final three minutes.
Offutt made his points on 5-of-11 shooting, plus 5 of 6 from the foul line. D.J. Cooper scored 14 points, including 12 points and three 3-point makes in the second half, while Jon Smith had 13 and Nick Kellogg had 12.
The team’s other starter, Ivo Baltic, had seven points and a game-high nine rebounds, helping Ohio take a 36-26 advantage on the boards.
Derrick Williams led Richmond (4-2) with 17 points, 14 of which came in the first half.
The win was the Bobcats’ 14th consecutive victory at home.