Load Transfer Problem for an Embedded Shaft in Torsion

[+] Author and Article Information
L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, Ill.

N. J. Freeman

Department of Civil Engineering, University of Miami, Coral Gables, Fla.

J. Appl. Mech 37(4), 959-964 (Dec 01, 1970) (6 pages) doi:10.1115/1.3408724 History: Received March 14, 1969; Revised August 28, 1969; Online July 12, 2010


This paper deals with the axially symmetric torsion of a semi-infinite cylinder embedded into an elastic half space, where the cylinder is allowed to protrude by a finite amount. The problem is formulated to include the case of the protruding portion of the cylinder when it is a different material and partially bonded to the embedded portion. With the use of integral transforms and Dini series, the problem is reduced to the determination of the solution of an integral equation. Stress singularities of a fractional order are noted and computed at the juncture, when all members are perfectly bonded. A numerical solution of the integral equation is obtained for the case of a homogeneous cylinder. The bond stress on the cylinder—half space interface and the torque-twist (and consequently, strain energy) for the entire system are computed for different values of the elastic constants.

Copyright © 1970 by ASME
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