This work presents a new, original and very interesting approach to a calculus pro-blem of beams with intermediate supports by Transfer-Matrix Method, a very easy method to program to quickly obtain good results. To exemplify the applicability of this approach is given in dentistry, the calculus of a dental bridge on three poles. The dental restorations are very important for improving the general state of health as a result of improving mastication and aesthetic appearance. The approach of this study consists of to present a theoretical study about an indeterminate beam with intermediate support and after, to particularize for an application of a dental restoration case, with a dental bridge on three poles and with two missing teeth between the three poles, assimilated to a simple static indeterminate beam. The results obtained in the presented case study were validated with those obtained by the classical calculation of the Resistance of Materials, with the equation of the three moments of Clapeyron. Due to the ease and elegance of solving various problems with TMM, their approach will continue with other new and original case studies with different modeling and requests, and they will be presented in future research.