This work presents a different, but an original approach for orthodontic problems about dental bridge studies. Assimilation of dental bridge with a beam is very important for practical applications in bio-engineering problems, in occurrence, in orthodontic fields. Beams studies and calculus are very interesting and easy with Transfer-Matrix Method (TMM). In this article, we study a dental bridge with distal extension and with a single pole, as a beam. A distal extension is an extension of posterior part of mouth, in contrast to a medial extension consisting in an extension to anterior part of oral cavity. In the first part, we present a study of beam with Dirac’s and Heaviside’s functions and operators. In second part, we present the TMM approach, which involves to consider the left end as a free end. The right end is pole and is embedded. We obtain a matrix relation, in which state vector of some face, is expressed function of state vector for the first face (origin face, or left face, meaning - the free end). Now, we can put the conditions at limit and on the end support, in two vectors at ends of beam. After, a linear equations system is solved. TMM algorithm can be very easy programmed and we can obtain all components of all state vectors: stresses and strains. In future research we hope to present experimental validation too.