This paper presents a probabilistic seismic demand model for predicting the pseudo-acceleration response of a linear nonstructural component attached to a linear structure. The model relates the response of the component with the pseudo-acceleration response of the generic mode of vibration of the supporting structure. Interaction between component and structure is ignored. Independency of the model on the specific characteristics of seismic hazard at the site is showed. The model is used to develop a method for direct generation of uniform hazard floor response spectra. By using the method floor spectra are determined through a closed-form expression, given the mean annual frequency of interest, the non-structural component damping ratio, the modal properties of the structure, and three uniform hazard spectra representing seismic hazard at the site.