This paper presents the analytical calculus of the long rectangle plate, embedded at one of its lengths and with a concentrated load in the middle and a uniform load all over the surface, using the Transfer-Matrix Method, according to Strength of Materials hypotheses. The method consists in discrediting the length of the plate in parts of the unit, each part being a beam. The Transfer-Matrix of the plate links the state vectors of the left side at the right side. With the conditions of the hearings, we calculate the state vector at the origin and the general expression for the deformation.