An analysis is made of the stresses and strains in a loaded two-bar tie when one of the bars is subjected to heating. The material of the bars is assumed to possess linear work hardening characteristics, i.e. a constant tangent modulus in the plastic range, and these characteristics are assumed to be independent of temperature. The following cycles of loading and heating are considered: load-heat-cool-unload, load-heat-unload-cool, heat-load-unload-cool, heat-load-cool-unload, and it is shown how, and when, these cycles produce differing stresses and strains and, in particular, differing residual stresses and strains. The effect of repeated applications of these cycles, when incremental shake-down may occur, is also considered.