Research note on evaluation of the plastic deformation of beams under transverse impact (Q1322539)

The permanent deformation of a rigid perfectly plastic beam subjected to a time-dependent line load is calculated. The beam has finite length, and the load is applied transversely in the middle of the span. At the initial time, the load is zero. Thereafter, the load has a triangular time dependence. For sufficiently large values of the peak load, static and moving plastic hinges appear, and the beam is subjected to plastic bending. A numerical solution of the system of exact equations is provided.