Theory of Wire Rope

1 Introduction.- 1.1 Basic Components.- 1.2 Identification and Construction.- 2 Equilibrium of a Thin Wire.- 2.1 Kinematics of a Thin Wire.- 2.2 Equations of Equilibrium.- 2.3 Relations Between Loads and Deformations.- 3 Static Response of a Strand.- 3.1 Geometry of a Strand.- 3.2 Axial Response of a Simple Straight Strand.- 3.3 Stress Determination of a Simple Straight Strand.- 3.4 Load Deformation Relation for a Simple Straight Strand.- 3.5 Pure Bending of a simple Straight Strand.- 3.6 Stress Determination of a Strand Subjected to Bending.- 3.7 Stress Determination of a Strand Passing over a Sheave.- 3.8 Multilayered Strands.- 3.9 Electric Conductor Strand.- 3.10 Contact Stresses.- 3.11 Outside Wires Contacting Each Other.- 3.12 Other Types of Strand Cross Sections.- 4 Static Response of a Wire Rope.- 4.1 Axial Response of an Independent Wire Rope Core.- 4.2 Axial Response of a Wire Rope.- 4.3 Stresses in a Wire Rope Due to Axial Loading.- 4.4 Stresses in a Wire Rope Due to Axial Loading and Bending.- 5 Friction in Wire Rope.- 5.1 Friction in an Axially Loaded Strand.- 5.2 Frictional Effects in the Bending and Axial Loading of a Strand.- 5.3 Frictional Effects in Wire Rope.- 5.4 Effective Length of a Broken Center Wire in a Simple Strand.- 5.5 Effective Length of a Broken Outer Wire in a Rope.- 6 Testing of a Wire Rope.- 6.1 Axial Testing of a Wire Rope.- 6.2 Effect of Rope Size on Rope Strength.- 6.3 Effect of Rope Size on Fatigue Life.- 7 Birdcaging in Wire Rope.- 7.1 Equations of Motion.- 7.2 Solution of Equations.- 7.3 Numerical Results.- 8 Rope Rotation.- 8.1 Rotation of a Wire Rope.- 8.2 Hand-Spliced Ropes.- 9 Tension and Compression of a Cord.- 9.1 Tension (contact between adjacent wires).- 9.2 Compression (no contact between adjacent wires).- 10 A Theory of Fatigue.- 10.1 Introduction.- 10.2 Theory.- 11 Remarks on Assumptions and Approximations.- 11.1 Introduction.- 11.2 Assumptions and Approximations for a Straight Strand.- 11.3 Assumptions and Approximations for a Wire Rope.- References.