A statistical energy model has been derived for the flexural vibrational power transmission from a shaft to a point-connected flat plate. Coupling loss factors from shaft to plate are calculated using infinite beam and plate impedances along with lumped-parameter impedance models of the shaft support. The support is initially treated as a simple mass, transmitting point forces only. Experimental measurements of coupling loss factor for this configuration show very good agreement with the predicted values. The model is then exercized by introducing a spring, first between shaft and mass, then between mass and plate, and finally between two halves of the mass. The implications of the results for vibration isolation problems are discussed. [Research supported by NSF.]