AbstractsMathematics

This thesis considers the influence of four secondary effects on the analysis of a simple elle-shaped piping structure when it is uniformly heated. The four effects are: (a) axial deformation, (b) shearing deformation, (c) beam-column effect, and (d) difference between arc and chord. They are usually neglected in a piping flexibility analysis. In a paper of several years ago, J. E. Brock developed a theory for this investigation but did not present any numerical results or conclusions. The present thesis reviews Brock's theory and corrects some errors in coefficients. It then describes a digital computer program for IBM System 360 which performs the corresponding caluclations. Finally, it draws the new and quite significant conclusion that conventional piping stress analysis, which neglects these secondary effects, can result in gross errors in evaluating stresses in piping configurations which are likely to be encountered in piping practice