In previous research, the authors numerically investigated 212 finite element (FE) models of concrete-filled steel tubular (CFST) T-joints under axial force in the brace to derive formulae for stress concentration factors (SCFs). The formulations involve four non-dimensional parameters: diameter ratio, β; diameter to thickness ratio of chord, 2γ; thickness ratio, τ; and relative chord length, α. In the current study, the earlier formulation is extended to include four additional loading conditions: in-plane bending (IPB) in the brace, out-of-plane bending (OPB) in the brace, axial compression in the chord, and IPB in the chord. The validity of the new SCF formulae is demonstrated by comparing the SCFs obtained using the formulae with the results of numerical analysis.