Wood attended Elder High School in Cincinnati, Ohio, where he played both the tackle and guard positions. His team went 28-2 over the last two seasons, including two consecutive state titles. After playing tight end as a junior, Wood started all 15 games at offensive tackle in his senior year and earned first team All-League honors. Considered a two-star recruit by both Rivals.com and Scout.com, Wood was not ranked among the nation's top offensive line prospects. He chose Louisville over Bowling Green, Ohio, Cincinnati, Indiana and Columbia.
College career
After redshirting his initial year at Louisville, Wood started all 12 games at center for the Cardinals in 2005. He earned Freshman All-American honors by Rivals.com, Sporting News and College Football News. Wood was an excellent student, earned Academic All-Big East accolades as well. Wood remained Louisville's starting center in his sophomore and junior seasons, starting all 13 and 12 games, respectively. Led by quarterbackBrian Brohm, the 2007 Cardinals offense ranked sixth nationally with an average of 488.0 yards per game. Wood earned All-Big East honors in both years, and again in his senior season. He finished his career with 49 consecutive starts at center, the second-longest streak in school history behind Travis Leffew.
In his rookie season, Wood was counted on to start at right guard. He joined a completely retooled Bills offensive line that was expected to feature two rookie starters—him, and second round pick Andy Levitre at left guard—and no players returning at the same position. On July 28, 2009, Wood signed a five-year contract with the Bills, reportedly worth more than $12 million. Wood immediately became the Bills starting right offensive guard next to center Geoff Hangartner, with Levitre at left guard. On November 22, 2009, in his 10th game, Wood fractured his tibia and fibula in the fourth quarter of an 18–15 loss to the Jacksonville Jaguars, after Jaguars defensive tackleMontavious Stanley ran into Wood's leg. Wood underwent season-ending surgery in a Jacksonville hospital and did not return to Buffalo with the team. He was placed on the injured reserve list on November 24, 2009. On March 30, 2010, Wood told the Buffalo Bills that his leg was healing well and that he gave it an 80% chance to be ready for training camp. He eventually started 14 games in the 2010 NFL season, missing only Steelers and Vikings games because of an ankle injury. The Bills were playing the same trio up the middle: Wood at right guard, Hangartner at center, and Levitre at left guard. In 2011, Wood was switched to center, between Levitre and new starting right guard Kraig Urbik. These three have been instrumental in the resurgence in the Bills offense, led by Ryan Fitzpatrick at quarterback and Fred Jackson at running back. However, he was hurt in game 9 and did not play the rest of the year, replaced first by Urbik and then by Colin Brown. In 2015, the NFL announced Wood as one of the 32 players honored as the Bills' Man of the Year and eligible to win the Walter Payton NFL Man of the Year Award. It was reported that Wood suffered a broken leg playing in a game against the Seattle Seahawks on November 7, 2016. The Bills reported that this injury would keep Wood out for the remainder of the season. He was placed on injured reserve on November 14, 2016. On August 26, 2017, Wood signed a two-year, $16 million contract extension with the Bills. On January 26, 2018, after the Bills made their first playoff appearance since 1999, Wood announced that he had failed his end-of-season physical and would no longer be cleared to play professional football. Adam Schefter of ESPN said the cause of the failed physical, a neck injury, was partially due to wear and tear, but also part of a "complicated medical situation". Wood had played through the entire 2017 season, handling every offensive snap that year without missing any. He had intended to wait until after the 2018 Pro Bowl to announce the injury; he had been designated as an alternate to the game and did not consider his condition to be a hindrance to playing in the game. News of the injury had leaked to the press two days before the game, and the two Pro Bowlers named to the position for the AFC both played in the game. He reached an injury settlement with the Bills on May 31, 2018, and was officially released.