Solution of Statically Indeterminate Beam with Straight Axis by Section-Conversion Method

Xiao Jin Yu

doi:10.4028/www.scientific.net/AMM.744-746.292

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 744-746Solution of Statically Indeterminate Beam with...

Solution of Statically Indeterminate Beam with Straight Axis by Section-Conversion Method

Abstract:

For computation of reaction, internal force and displacement of a beam, the displacement equation from Conversion Method is used in establishing compatibility condition of deformation. In the process of Section-Conversion Method, the joints without sway is set as the coordinate criterion. Cutting the part between two joints as a base element with the method of section, it becomes a simply supported beam in form. The internal forces at the section cut are those which equivalent forces from other side of the beam. According to the axiom of action and reaction, the equivalent forces react to the other part of the beam. The displacement equations are used for all parts one by one. The precision resolutions of reaction, internal force and displacement of a beam are achieved.

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Periodical:

Applied Mechanics and Materials (Volumes 744-746)

Pages:

292-297

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.744-746.292

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Cite this paper

Online since:

March 2015

Authors:

Xiao Jin Yu*

Keywords:

Beam, Constraint Force, Deflection, Displacement, Section-Conversion Method, Slope

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* - Corresponding Author

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