Frank "Trey" Warren Thompson III, of Dalton, Georgia, died in the incident. Three other workers survived.
Love Funeral Home, of Dalton, said Thompson is survived by a wife and son.
On Monday, Thompson posted on his Facebook page that he was "Carolina bound" for the workweek.
His mother and father posted about the construction incident and shared messages of grief and photos of Thompson on their social media pages.
D R Mozeley, the Charlotte-based company handling the Brier Creek project, contracted with J Squared Plumbing out of Georgia to handle certain aspects of the plumbing work, D R Mozeley told ABC11 on Thursday.
J Squared Plumbing has handled previous projects for D R Mozeley, the company said.
Crews had been working on a gas station project for Harris Teeter.
"Harris Teeter is deeply saddened by this incident and extends its condolences to the families and workers who were affected," a spokesperson for the supermarket chain told ABC11
The deadly incident is being investigated.