AbstractThe present work outlines an original numerical modelization approach for Moving Load (ML) beam problems, by a dedicated object-oriented C++ parallel computing FEM implementation, with the purposes of performing efficient numerical analyses resolving the complete dynamic response of beams under the effect of a high-velocity ML. Alongside, main framing state-of-the-art reviews are attempted, on the principal involved issues of: ML context and physical description, numerical FEM modelization, parallel computing implementation. Running ML example cases are explored, for a (long) finite beam on a (visco)elastic foundation and for a continuous beam of a historic railway iron bridge, with per se interesting engineering outcomes. The contribution may serve as a guideline paradigm to readers that may be novel to the treated topics, though motivated in adventuring in the computational challenges involved in the present mechanical research context.