The von Mises yield criterion is combined with an equilibrium equation to provide a semi-analytical plastic collapse solution for a thin hollow disc inserted into a rigid container and subject to thermal loading. A numerical method is only necessary to sequentially solve several simple transcendental equations. The state of stress is plane and the temperature field is uniform. The main distinguished feature of the solution is that all basic thermo-mechanical properties are temperature-dependent. The objective of the paper is to show the effect of temperature-dependency of these properties on plastic collapse.