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.]