The equilibrium of a finite-beta reversed field pinch (RFP) plasma in the presence of saturated-amplitude stationary tearing modes is investigated. The singularities of the magnetohydrodynamical force balance equation J×B = nablap at the rational surfaces of the modes are resolved through a proper regularization of the cylindrical symmetric component of the profiles, by setting to zero there the gradient of the pressure and parallel current density. An equilibrium model, which satisfies the regularization rule at the various rational surfaces, is developed. The comparison with experimental data from the reversed field experiment (RFX) gives encouraging results. We will show that the model provides an easy tool for magnetic analysis.