The Longhorns outrebounded Coppin State 50-25 and led by as many as 27 points late in the second half. Prince Ibeh added nine rebounds in 20 minutes for Texas.
Patrick Cole led Coppin State with 15 points, but made just 3 of 12 field goals, all of them 3-pointers. Troy Franklin added 14 points and had eight steals for the Eagles.
"It was a very tough game for us, very ugly," Coppin State coach Ron Mitchell said. "Texas intimidated us a little bit today, but I don't know why. We couldn't shoot the ball well and then we started committing turnovers, and that doomed us. We pressed and it hurt us."
The Longhorns jumped out to a 9-2 advantage by the first media timeout and built a 33-19 lead at halftime. Both teams struggled in the first few minutes of the second half before Texas pulled away with six straight points by McClellan that pushed the lead to a 62-37 with 5:38 to play.