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CONVERSION METHOD FOR CALCULATION OF STATICALLY INDETERMINATE STRAIGHT BEAMS WITH UNIFORM CROSS-SECTION

YU Xiao-jin

Open publisher page 1 citations

Abstract

The method of moment distribution is one of the better ways to solve a statically indeterminate beam. However,it has to depend on the memorization of rotational stiffness,distribution factor and carry-over factor of the different supports. The force method and the displacement method are dependent on moment area,fixed-end moment and so on. Conversion method is based on the theorem that the deflection of any beam can be converted into that of a cantilever beam. Deformation compatibility equations can then be established by the conversion method. Since it is easy to memorize the deflection and rotation of a cantilever beam at the fixed end,the precise solutions of the reaction,the internal force and the displacement of a beam can be achieved.

About this research paper

What this paper is about

The method of moment distribution is one of the better ways to solve a statically indeterminate beam. However,it has to depend on the memorization of rotational stiffness,distribution factor and carry-over factor of the different supports. The force method and the displacement method are dependent on moment area,fixed-end moment and so on. Conversion method is based on the theorem that the deflection of any beam can be converted into that of a cantilever beam. Deformation compatibility equations can then be established by the conversion method. Since it is easy to memorize the deflection and rotation of a cantilever beam at the fixed end,the precise solutions of the reaction,the internal force and the displacement of a beam can be achieved.

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Available abstract

The method of moment distribution is one of the better ways to solve a statically indeterminate beam. However,it has to depend on the memorization of rotational stiffness,distribution factor and carry-over factor of the different supports. The force method and the displacement method are dependent on moment area,fixed-end moment and so on. Conversion method is based on the theorem that the deflection of any beam can be converted into that of a cantilever beam. Deformation compatibility equations can then be established by the conversion method. Since it is easy to memorize the deflection and rotation of a cantilever beam at the fixed end,the precise solutions of the reaction,the internal force and the displacement of a beam can be achieved.

Key concepts: Statically indeterminate, Cantilever, Deflection (physics), Conjugate beam method, Beam (structure), Shear and moment diagram, Structural engineering, Stiffness

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CONVERSION METHOD FOR CALCULATION OF STATICALLY INDETERMINATE STRAIGHT BEAMS WITH UNIFORM CROSS-SECTION — Research Paper | ScholarLens