Abstract
For calculating the thin-walled closed curved box girder caused by the temperature gradient of the internal force and displacement, based on the fundamental differential equation of the curve beam and the principle of minimum energy, set a reverse statically indeterminate simply supported curve beam as the basic structure, consider the warping effect of the closed curve box girder, and put forward a kind of plane curve beam temperature deformation simple analytical calculation method. Compared with the finite element calculation results, the relative error of the analytical calculation results is less than 5%. It is concluded that the analytical method has sufficient accuracy in calculating the out-of-plane deformation of the thin-walled closed curved box girder under the temperature gradient.
Highlights
In recent years, with the construction of urban overpasses, curved beams are increasingly used in modern engineering structures
Based on the basic differential equation of the curved beam and the principle of minimum potential energy, this paper presents a primary torsional statically indeterminate supported curved beam as the basic structure
Comparing the analytical calculation results with the finite element calculation results, the following conclusions are obtained: (1) When calculating the vertical deflection of a singlespan statically indeterminate supported curved beam, the difference between the calculation results provided by this study with and without warping is small, both of which are about 5%, and the calculation results with warping are slightly more accurate than those without warping
Summary
With the construction of urban overpasses, curved beams are increasingly used in modern engineering structures. Based on the basic differential equation of the curved beam and the principle of minimum potential energy, this paper presents a primary torsional statically indeterminate supported curved beam as the basic structure. 2. Deformation of the Supported Statically Indeterminate Curved Beam under the Vertical Temperature Gradient. Considering a curved equal-section beam with center angle φ0 and taking the midpoint of the circular arc as the coordinate zero point, determined by formulas (1)–(7), under the temperature effect, the potential energy of the structure is.
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