Analytical determination of the stress-strain state of a pipeline elastically bent in a soil

摘要

A mathematical model has been defined for a three-dimensional bending in tension and torsion for a curvilinear prestressed piping in an elastic soft soil with a longitudinal and torsion responses. such as friction, is written as a set of 12 linear ordinary differential equations. The model takes into account high initial displacements of a pipeline and the action of temperature and pressure linearly distributed along the pipe axis. An analytical solution of the problem in elementary functions hasbeen obtained which is of practical interest in the strength check and design calculations for subterranean, surface and suspended pipelines.