The Barycentric Rational Interpolation Collocation Method (BRICM) for solving dynamical problems of Euler-Bernoulli beam with high accuracy is presented. The deflections of beam at anytime and in anywhere are approximated by tensor product form of barycentric rational interpolation in temporal field and in spatial domain, respectively. The discreted algebraic equations of governing equation, initial conditions and boundary conditions for dynamical problem of beam are constructed using collocation method. Using notations of differentiation matrix and tensor product of matrices, the system of algebraic equations can be formed as a neat matrices formulation. The deflections of beam on computational nodes are obtained by solving system of algebraic equations with replacement method to apply initial and boundary conditions. The numerical examples demonstrated that BRICM has merits of simple computational formulation, good adaptive of nodes type, easy to program and high precision.