CRITICAL EXAMINATION OF
VARIOUS APPROACHES USED FOR
ANALYSING HELICAL CABLES
JOURNAL OF STRAIN ANALYSIS, 29 (1):
43-55 (1994)Abstract
Using theoretical parametric studies covering a wide range of cable (and wire) diameters and lay angles, the range of
validity of various approaches used for analysing helical cables are critically examined.
Numerical results strongly suggest that for multi-layered steel strands with small wire/cable diameter ratios, the
bending and torsional stiffnesses of the individual wires may safely be ignored when calculating the 2 x 2 matrix for
strand axial/torsional stiffnesses. However, such bending and torsional wire stiffnesses are shown to be first order
parameters in analysing the overall axial and torsional stiffnesses of, say, seven wire strands, especially under free-fixed
end conditions with respect to torsional movements.
lnterwire contact deformations are shown to be of great importance in evaluating the axial and torsional stiffnesses
of large diameter multi-layered steel strands. Their importance diminishes as the number of wires associated with
smaller diameter cables decreases.
Using a modified version of a previously reported theoretical model for analysing multilayered instrumentation
cables, the importance of allowing for the influence of contact deformations in compliant layers on cable overall
characteristics such as axial or torsional stiffnesses is demonstrated by theoretical numerical results. In particular,
non-Hertzian contact formulations are used to obtain the interlayer compliances in instrumentation cables in preference
to a previously reported model employing Hertzian theory with its associated limitations.
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