Rebecca Romero could not follow up her Olympic gold in the individual pursuit with a medal in the women's points race.
The 28-year-old, who became the first British woman to win medals in two Olympic sports, struggled to compete less than 24 hours after standing on the podium.
She picked up three points in one of the 10 sprints which are spaced every 10 laps and could not get away to gain a lap which is worth 20 points.
Marianne Vos of Holland won the gold with 30 points, silver went to Cuba's Yoanka Gonzalez and bronze went to Leire Olaberria of Spain.
Meanwhile, Victoria Pendleton made it through to the semi-finals of the sprint at the expense of Simona Krupeckaite, beating the Lithuanian in consecutive races in the best of three series.