This work considers the effect of distributed friction on the dynamics arising from a simple model for a jointed structure. A hierarchy of models is developed, parameterized by the degree-of-freedom n, which physically corresponds to the number of possible slip zones. When the resulting system is subjected to harmonic forcing, numerical simulations indicate that the instantaneous power dissipated by the frictional forces is sensitive to n. However, the frictional work per unit forcing cycle is, surprisingly, relatively insensitive to the degree-of-freedom, provided n is greater that some minimum number which depends on the amplitude of the external forcing as well as the maximum frictional force. Finally, representative simulations are shown as both the amplitude and frequency of the external forcing are varied. This model provides a starting point for the development of reduced-order models of structural interfaces.