Effective Length of Fractured Wires and a Fatigue Analysis of Wire Rope
Chien, Chi-Hui
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https://hdl.handle.net/2142/71677
Description
Title
Effective Length of Fractured Wires and a Fatigue Analysis of Wire Rope
Author(s)
Chien, Chi-Hui
Issue Date
1984
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Abstract
This work is initially concerned with a determination of the contact loads and stresses between the wires in a wire rope under axial loading. The rope is regarded as a collection of smooth helical rods. The determination of the contact stresses between wires is based on the solution of Hertz's contact problem. The results are applied to a simple strand and a wire rope with a complex cross section. The effects of the variation of geometrical data of the simple strand on the contact loads between the wires are also studied.
The contact loads between wires are then used to determine the effective length of a broken wire in a rope, measured from the fractured end of the wire, in which the wire will be able to carry its appropriate share of the load. The estimate of this effective length is based on the contact loads between the wires, Coulomb-type friction, and an invocation of Saint Venant's principle. Again, a simple strand and a wire rope with a complex cross section are used as the examples for the purpose of illustration.
The final portion of this work is concerned with the testing of rope. A dimensional analysis is made of the various parameters associated with bend-over-sheave testing. A dimensionless parameter is introduced for the purpose of describing the size effect. Finally, a theory is presented from which large-diameter test results can be determined from small scale tests.
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