Brian A. Sher has been named the new managing partner of Bryan Cave LLP’s Chicago office.He replaces Joseph Q. McCoy, who left the St. Louis-based firm to join Riley Safer Holmes & Cancila LLP, Sher said. McCoy had served as the office’s managing partner since 2014.Sher, 54, has been with Bryan Cave since it began growing its Chicago office in 2004. He joined the firm that year from what was then known as McGuireWoods Ross & Hardies, now McGuireWoods LLP.At Bryan Cave, Sher is a member of the firm&rsquo …