Abstract

This paper discusses the stiffness of a heavy inextensible cable in terms of the work done against gravity when the cable is loaded, and examines the relations between this energy treatment and the conventional ‘deflexion theory’ in common use. The latter is often presented in a form that appears to imply that the gravity stiffness of a cable is negligible; this is seen to be misleading and to result from neglect of a term in the expression for zero extension and of the discontinuities that arise with concentrated loads. General expressions for the gravity stiffness are given appropriate to applied loads small compared with the cable weight, and the gradual reduction in the accuracy of these expressions as the applied loads are increased is examined.

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