Phase I of the proposed research would: 1. Extend the bounding solutions for strain ranges, maximum stresses and accumulated strains due to inelastic cyclic loads to include structural discontinuities 2. Determine the most effective methods for developing user oriented special computer programs for performing simplified inelastic cyclic analyses of common nuclear components such as piping runs, cylinder-to-cylinder intersections, etc. Phase II and III of the proposed research would: provide designer oriented special computer programs for performing simplified inelastic analyses of common nuclear components and piping.