Stresses in Pipe Bundles

For purposes of stress analysis, a closely packed bundle of very many pipes can be replaced by a homogeneous but nonisotropic solid (HNS for short). This paper deals with the derivation of the elastic constants of the HNS, the solution of its stress problem under certain conditions, and the conversion of the results into stresses and displacement of individual pipes. As an example, the thermal stresses are determined that arise in a pipe bundle due to a nonuniform axial temperature gradient.