Abstract The compound strip method is illustrated for the analysis of slab-girder bridges modeled as a linear elastic plate continuous over deflecting supports. This approach incorporates the effects of support elements in a direct stiffness methodology by creating a substructure composed of plate. beam. and column elements which is termed a “compound strip.” The theory and application of the compound strip method is presented. The finite element and compound strip methods are compared in an illustrative analysis for a slab-girder bridge. The results of the compound strip analysis compare well with the finite element method. The methodology presented herein can be used to efficiently model any slab-girder bridge configuration. Typically, the compound strip method requires significantly less computational resources than does the finite element method and is well suited for use on today's microcomputers.