The thermal stresses in solid and in hollow circular cylinders concentrically heated

Abstract 1. The large differences of temperature which exist between the inside and outside of the heating or firing tunnels used in pottery and other works, and between the inner and outer portions of the concrete or masonry pillars supporting the floors of a building in which a fire occurs, make the thermal stresses approach the breaking strength of the materials and they are crushed or torn asunder. The same may be said to a less degree of chimney stacks, and of the walls of the cylinders of internal combustion engines. In order to prevent this, it is necessary to design the structure so as to withstand the stresses which will be produced by the differences of temperature to which they will be subjected. The calculation of these stresses has only been carried out for a hollow cylinder of constant elasticity and heat conductivity, with the temperature throughout it following the steady logarithmic law and the material expanding according to the linear law.