The exact and approximate analysis of composite members with partial interaction and subjected to general dynamic loading are presented. General closed-form solutions for the displacement functions and the various internal actions in the composite elements are presented for both the exact and approximate cases. The solutions reduce to the well-known values for the extreme cases of interlayer connection: non-composite and full composite action, respectively. An approximate solution for the eigenfrequencies in the exact analysis procedure is proposed and evaluated by comparison with the exact solution. These solutions show the effect of interlayer connection on the eigenfrequency. The exact and approximate analysis procedures are applied to simply-supported beams subjected to impulsive and step loadings to illustrate the difference in the solutions obtained by the two procedures. Very good agreement is obtained between the results of exact and approximate analysis of these particular cases