A Formulation for the Shear Coefficient of Thin-Walled Prismatic Beams

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Abstract
A formulation for the shear coefficient of arbitrary monosymmetric thin-walled cross sections is proposed. The derivation uses integrated or average displacements and rotation, and the effect of Poisson's ratio is taken into account. In contrast to earlier formulations in which three-dimensional stress and displacement distributions for solid sections should first be assumed, the present approach applies directly to thin-walled cross sections. The theory is also valid in the case where the cross section contains several closed cells, and this requires the definition of compatibility conditions which take Poisson's effect into account. Some simple examples are given, which show that the shear coefficient increases by a few percent when Poisson's effect is considered, in a manner similar to what happens with open or single cell sections.

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