The distribution of stress, plastic strain and displacement in an elastic-perfectly plastic tube with fixed ends in the presence of a uniform heat source is investigated analytically by taking into consideration the temperature dependence of the yield limit. The treatment is based on Tresca's yield condition and its associated flow rule. Depending on the radius ratio of the tube, in general, five different plastic regions, two of them corresponding to an edge regime of Tresca's prism, and an intermediate elastic region occur. Four different ranges of radius ratio of the tube can be distinguished which lead to different patterns of elastic-plastic deformation. In all cases the thermal load is increased up to the value for which the elastic region vanishes. (C) 1999 Elsevier Science Ltd. All rights reserved.