A derivation of symmetry breaking toroidicity effects on toroidal momentum transport has been made from the stress tensor. This effect is usually stronger than the symmetry breaking caused by the flowshear on the eigenfunction. The model obtained generalizes a recent derivation of diagonal transport elements from the stress tensor to convective elements of turbulent equipartition or thermoelectric types. This makes it possible to interpret the same type of effects previously obtained from a phase space conserving nonlinear gyrokinetic equation.