Purpose <p>Engineering structures like car parks and bridges frequently experience shifting loads, leading to vibrations. Since these vibrations can exceed the serviceability thresholds of the structures, it is crucial to investigate the effects of moving loads on structural vibrations. Understanding these impacts is essential because load-moving problems are commonly encountered in various engineering fields and everyday life, posing challenges to the integrity of structures and machines.</p> Method <p>This article provides a concise review of different types of moving load problems affecting beams and plates. It offers relevant references for each type of issue to facilitate better understanding and faster progression for researchers, especially newcomers to the field of moving load studies.</p> Results <p>Research has revealed that structures such as bridges, overhead cranes, guideways, rails, roadways, cableways, runways, pipelines, and tunnels are significantly affected by moving loads. A beam-like structure interacting with a moving load becomes part of a vehicle-bridge-interaction (VBI) system. Studying the dynamic response of VBI systems yields important insights into structural design, riding comfort, maintenance feasibility, and structural health monitoring.</p> Conclusion <p>By providing an in-depth overview and key references, this article serves as a valuable resource for researchers, especially new ones, helping them quickly grasp the essential aspects of moving load problems and guiding them toward effective solutions.</p>