In the past, most studies of the effects of fluid loading on the response of time harmonic line forced plates have involved either “ad hoc” simplifications whose adoption was justified on physical grounds alone or numerical techniques and restricted frequency ranges below the “coincidence” frequency. We use the method of Matched Asymptotic Expansions (MAE) to obtain a series ofsimpleanalytic expressions which cover overlapping regions of the whole frequency range. A composite expression is easily formed for the radiated power. This gives a simple single expression,uniformly validfor all frequency ranges, and yields predictions for the radiated power in good agreement with the corrected curves of Nayak [J. Acoust. Soc. Am.49, (1979)]. [Work supported by ONR Code 425.]