ABSTRACT

In this chapter, the concept of thermal stresses is introduced for the simple case of homogeneous bars subjected to either uniform or non-uniform thermal loads. The stresses, strains, free thermal expansion, and free thermal strain are defined, and the Hooke's law is stated. Thermal stress fields are discussed for both uniform and non-uniform temperature changes in clamped bars, a circular bar, a trapezoidal plate, a circular frustum with and without a circular hole, and a hollow truncated cone. Thermal stresses are considered in partially restrained bars, as they appear in machine elements subjected to thermal loading. Deformation in partially restrained bars due to free thermal expansion and thermal stress, and the equilibrium between internal and external forces are considered in order to find stresses and strains. The chapter provides a sound grounding in the fundamental theory of thermal stresses as well as includes a multitude of applications.