The Newmark method is an explicit method and the most important aspects of this subfamily are the possibility of unconditional stability for nonlinear systems and second-order accuracy. The possibility of unconditional stability and second-order accuracy allows the use of a large time step, and the explicitness of each time step involves no iterative procedure. To evaluate the numerical properties of the proposed family method in the solution of linear elastic and nonlinear systems, its computing sequence within a single time step must be realistically reflected in the analysis. In this paper, the concept of Newmark method for structure is explained and applied.