Numerical calculation method of internal force of beam string structure

Abstract

The invention discloses a numerical calculation method of internal force of a beam string structure. The method includes establishing a force bearing equilibrium equation set on the basis of the method of static equilibrium and section internal force equilibrium, wherein the force bearing equilibrium equation set is an equation set about the equilibrium relation of a section bending moment Mb of an upper-layered beam, a section shearing force Vb of the upper-layered beam, a section axial force Nb of the upper-layered beam in an optional position with abscissa x of a beam string, a section axial force T of a lower-layered cable, an entire section bending moment Mx of the beam string and an entire section shearing force Vx of the beam string in an optional position with abscissa x of a beam string, among; figuring out an expression about the abscissa x of the beam string from the section bending moment Mb of the upper-layer beam, the section shearing force Vb of the upper-layer beam, the section axial force Nb of the upper-layer beam and the section axial force T of the lower-layer cable, by constructing an equation that external work W is equal to a sum of a bending strain energy Ubn of the upper-layer beam, a compressive strain energy Ubn of the upper-layer beam and a tensile strain energy Ucn of the lower-layer cable, according to the principle of real work. By the aid of the method, the component internal forces of the upper-layer beam and lower-layer cable of the beam string structure can be estimated and calculated rapidly and accurately, and data are supplied for section bearing capacity checking.

Description

technical field [0001] The invention belongs to the field of calculation and analysis of building structures, and relates to a method for calculating the internal force of a structure, more specifically, a numerical calculation method for the internal force of a suspensive beam structure. Background technique [0002] Suspension girder, as a structural system with strong adaptability to architectural form and reasonable structural force, has been widely used in various sports venues, exhibition centers and multi-functional halls, and its analysis and design theory research results are also rich, but these Most of the results are obtained through model tests and refined finite element analysis, but there are few numerical calculation methods for suspension beam structures, which brings two problems to the popularization and application of suspension beam structures: one is in the planning stage, There is a lack of a method for quickly estimating the section size of the suspen...

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Problems solved by technology

[0002] Suspension girder, as a structural system with strong adaptability to architectural form and reasonable structural force, has been widely used in various sports venues, exhibition centers and multi-functional halls, and its analysis and design theory research results are also rich, but these Most of the results are obtained through model tests and refined finite element analysis, but there are few numerical calculation methods for suspensary beam structures. There is a lack of a method that can quickly estimate the cross-sectional size of the suspensive beam, and it is impossible to quickly and efficiently provide effective data support for the architectural plan; secondly, in the detailed analysis and design stage, there is a lack of a conceptual calculation that can judge the results of the finite element analysis method

[0004] The above three simplified calculation methods of suspension girders all need to solve partial differential equations, and all of them need to make some relevant assumptions such as displacement functions in the calculation process. and cannot clearly reflect the basic structural stress state

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