An Alternative Approach to Finding Beam Reactions and Deflections: Method of Model Formulas

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Abstract:

This paper is intended to contribute an alternative approach—method of model formulas—to finding statically indeterminate reactions and deflections of elastic beams under loading. A set of four equations are first derived and then employed as model formulas. These formulas account for the flexural rigidity of the beam, concentrated loads, and linearly distributed loads. Thus, the proposed method of model formulas can effectively be applied to solve most beam problems involving reactions and deflections, encountered in the teaching of mechanics of materials and in engineering practice. A variety of examples are included in the paper.

Keywords: BEAM; DEFLECTION; MODEL FORMULAS; REACTION; SINGULARITY FUNCTION; SLOPE

Document Type: Research Article

Publication date: January 1, 2009

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