STRESSES DUE TO SHRINKAGE OF ONE HOLLOW CYLINER ON ANOTHER

Abstract

The equations to calculate stresses and displacements of single or compound cylinders under uniform pressure are deduced from the stress function F which satisfies ▽^<4F>=0. The axial displacements or axial stresses are easily calculated from the equations. Next the effects of the force in the axial direction at the junction of compound cylinders due to cooling contraction are considered by using Bessel's function which satisfies ▽^<4F>=0 and numerical examples are offerd.