The connection of tubular members, used as bridge hangers or in 3-D coverings, has been widely researched, both for resistance and for fatigue. Such members are also often used in scaffoldings or as lighter bracings. The connection of the tube to a single bolted or welded plate consists of a circular end plate, covering the tube’s cross section on which a perpendicular rectangular plate is welded. No analytical approximation is available to calculate stresses in such a circular plate. Hence, FE-models have to be used for each application. As this is time consuming, a systematic survey of normal and shear stress has been conducted, for 6 unity connection forces of the gusset plate. The latter are normal force, shear in 2 directions, torsion and bending moments in 2 directions. The 3 types of stresses are kept separate, to allow for linear superposition, simulating any kind of real situation. The tube diameter and plate thickness have been varied to allow regression and obtain closed formulas. It appears that larger tube diameters have the capacity to distribute force, albeit the stress should be larger due to the increase of diameter. The former effect seems to overrun the latter and stress conditions are lower for wider tubes, which is rather surprising and may prove to be useful in practice. This is also confirmed by the displacement patterns, which show larger effective width of the higher diameter circular plate.