Deformation of and Stress in a Short Pipe Grooved Axially under Torsion

Abstract

When a thin cylindrical pipe of finite length with a groove cut out through the length axially is twisted with both ends fixed on grips as shown in Fig. 1, the influence of fixed ends on the angle of twist and the stress is discussed, using the fundamental differential equation for cylindrical shell introduced by one of the present authors. The angle of twist per unit length of the short pipe with a groove is very small compared with that of the pipe of infinite length and this difference is so extremely great that the application of the equations for the infinitely long pipe to a short pipe may be inadequate. Besides this remarkable difference, there exist great axial thrusts at both fixed ends. These theoretical results are ascertained by experiments.