Screw anchor is a type of post-installed mechanical anchor that transfers the load to concrete through the mechanical interlock of the screw anchor threads. Some screw anchors are reusable depending on the manufacturer’s specifications, and this offers the potential to lower carbon footprint in construction. Screw anchor applications in thin concrete members (e.g., hollow-core slabs, walls in modular buildings, and tunnel lining walls) are of interest in this study. The design of screw anchors in very thin concrete panels is limited in scope by current design codes due to splitting failure in concrete and is typically dependent on specifications provided by anchor manufacturers. Hence, this paper presents an experimental study of single anchors embedded at different depths in thin uncracked concrete panels (i.e., 100 mm thickness) subjected to tensile loading. The ultimate failure loads and observed failure modes of the screw anchors are presented. The experimental results are compared with the predicted strength in Eurocode EN 1992-4:2018.