2002Machine DesignRequires access

General mechanics model and deformation equations of variable-stiffness statically indeterminate beam under complex load

Xuejun Li

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Abstract

In this paper,a kind of general mechanics model of variable-stiffness statically indeterminate beam under complex load has been established,and the equations of bending moment at arbitrary section of the beam are obtained.The general equations of rotation angle and flexibility deformation at arbitrary section of beam were derived by means of the integral to bending moment equations and the iteration of the equations after integration.And the living computational example of engineering was given.These equations are easily processed by computers,thus provided a foundation for programmed solution of the variable-stiffness statically indeterminate beam under complex load.

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What this paper is about

In this paper,a kind of general mechanics model of variable-stiffness statically indeterminate beam under complex load has been established,and the equations of bending moment at arbitrary section of the beam are obtained.The general equations of rotation angle and flexibility deformation at arbitrary section of beam were derived by means of the integral to bending moment equations and the iteration of the equations after integration.And the living computational example of engineering was given.These equations are easily processed by computers,thus provided a foundation for programmed solution of the variable-stiffness statically indeterminate beam under complex load.

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Available abstract

In this paper,a kind of general mechanics model of variable-stiffness statically indeterminate beam under complex load has been established,and the equations of bending moment at arbitrary section of the beam are obtained.The general equations of rotation angle and flexibility deformation at arbitrary section of beam were derived by means of the integral to bending moment equations and the iteration of the equations after integration.And the living computational example of engineering was given.These equations are easily processed by computers,thus provided a foundation for programmed solution of the variable-stiffness statically indeterminate beam under complex load.

Key concepts: Statically indeterminate, Bending stiffness, Conjugate beam method, Beam (structure), Bending moment, Stiffness, Structural engineering, Indeterminate

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