The purpose of this thesis is to demonstrate the application of shallow concrete shells for structural floor systems. The shell is first placed in its historical context. The writer then proposes the application of shells for floors through rationale based on three points: (1) historical precedent; (2) structural capability; (3) aesthetic qualities. The application having been proposed, the writer then proceeds to an analysis of the problem - from the simplest stages to the more complex applications. The specific criteria which are the basis of the application of shallow shells for floors follow the analysis. The last part is a demonstration of several prototype systems of shells for floors.