Speare, PRS; (1975) Shear Deformation in Elastic Beams and Plates. Doctoral thesis , University of London.

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Abstract

Existing theories which include the effects of shear deformation in elastic beans and plates are compared and their relationship with each other examined. Three approaches are applied to a range of problems in the bending of beams and circular and square plates. The first of these uses Reissner's theory, or, where this is not immediately applicable, a theory is developed based on his fundamental assertions. Secondly, the possibility of employing a partial deflection method for homogeneous isotropic cases is considered, in which the effects of bending and shear can be separated. the third approach is a theory of specified order of accuracy, developed as a modification to Reissner's theory. It leads to a sixth order system of equations, thus enabling three conditions to be satisfied at each boundary of a rectangular plate, and is in terms of transverse displacement as the single variable. The application of finite difference and localised Rayleigh-Ritz techniques to the solution of these three approaches is considered. Two series of experimental tests are reported which investigate the effects of shear deformation on the deflection of beams and square plates.

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