On the continuum properties of repetitive beam-like pin-jointed structures

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Description/Abstract

The equivalent continuum beam properties of a one-dimensional repetitive structure have previously been determined through eigenanalysis of the transfer matrix of a single cell. A simpler procedure requires a knowledge of the stiffness matrix of the single cell, together with the ability to deduce the displacement vectors for tension, bending and shear. A once and for all application of the principle of minimum potential energy for tension yields the equivalent continuum Poisson's ratio, from which the remaining properties follow.