Abstract
The adaptively shifted integration technique (abbreviated to the ASI technique) is applied to the dynamic collapse problems of framed structures including the quasi-static collapse under repeated loading. The unloading of materials plays an important role in these behaviors. In the present analysis using cubic beam elements, the reshifting of the integration points to the Gaussian points in the unloaded elements is conducted in order to attain higher accuracy for the material-unloading behavior. The solutions given by conventional method, the ASI technique with and without reshifting are compared to show the validity of the newly proposed computational algorithm.