Various Calculation Methods for Large Deflections of Nonlinear Elastic Material Subjected to a Moment

Abstract

Large deflections were calculated for nonlinear Ludwick type cantilever beams made of Ludwick type rectangular cross-sectional material subjected to a moment at the free end, by employing approximate and numerical methods for trial functions satisfying boundary conditions. Adequately approximate results were obtained for calculations employing single and binominal constant, second and fourth degree polynomial type trial functions. Increasing number of constant term and degree of trial functions resulted in more approximate values

Keywords

• Large Deflections, Geometrical Non-linearity, Material Non-linearity, Approximate and Numerical Methods

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