Temperature-Induced Stresses in Solids of Elementary Shape

摘要

In general, a solid subjected to non-uniform temperature change develops internal stresses. These are determined by, (1) the temperature distribution within the solid, and (2) certain physical constants of the material. Although the necessary fundamental relations are known, the computation of stresses in even simple solids has heretofore been a tedious operation. For two varieties of heating, the equations determining stress have now been put in convenient form for practical use, and tables of certain temperature functions are offered as a means of quickly determining stresses in a slab, in a cylinder, or in a sphere subjected to either of two modes of heating. The temperature-distribution tables independently will provide a useful means for the ready estimation of temperature gradients. (Author)