This is the second of two companion papers which collectively present a method for the analysis of complex structures built-up from sti! beams and #exible plates. The method separates the sti! parts of the structure (which support the vibration sources) and the #exible parts of the structure, models the two parts separately in order to accommodate the signi"cantly di!erent wavelengths of the waves in them, then recombines the two parts to obtain the response of the complete structure. The companion paper analyzed the plate-sti!ened beam consisting of a directly driven uniform beam attached to a rectangular plate in order to demonstrate the theoretical foundation of the method. However, the theoretical work is limited to very simple geometries. Hence, this paper implements the method using a combination of numerical analysis to model the sti! beam and analytical impedances to model the #exible plate. In particular, the response of the beam separate from the plate is modelled using "nite element analysis. The response of the plate separate from the beam is modelled using analytical impedances in a manner identical to that used in the companion paper. The two separate responses are "nally coupled together using a standard sub-structuring procedure. Predictions of input and transfer response for two geometrically di!erent plate-sti!ened beams, one with a rectangular plate and one with a trapezoidal plate, compare well with measurements. Additionally, the method allows estimation of the mean-square acceleration of the plates which also compare favourably with measurements 2000 Academic Press