【摘要】：波形鋼腹板組合梁是一種新型組合結構,具有結構自重輕、預應力效率高、施工性能良好等優(yōu)點而得到廣泛應用,其區(qū)別于傳統(tǒng)預應力混凝土箱梁的特點在于鋼腹板顯著的剪切變形。因此在分析波形鋼腹板組合梁的彎曲變形時,必須考慮鋼腹板的剪切性能。本文主要工作如下:1.分析了波形鋼腹板組合梁的變形特點,結合其剛度特征,將現有波形鋼腹板組合梁撓度的計算方法總結為4種方法:初等梁理論、Timoshenko梁理論、彈性剪切變形彎曲理論及有效剛度法,對比分析得出這4種方法的理論差異在于:(1)截面變形假定不同;(2)鋼腹板剪力承擔比例不同;(3)關鍵影響參數不同。最后通過建立空間有限元模型總結出波形鋼腹板組合梁各撓度計算方法的不同跨高比適用范圍。2.引入三角級數法,以三角級數形式表示三個基本的位移函數:鋼腹板剪切變形轉角函數、頂底板轉角函數、組合梁撓度,基于最小勢能原理,分別推導了簡支和懸臂波形鋼腹板組合梁彎曲變形計算模型。通過建立空間有限元模型,并與初等梁理論、Timoshenko梁理論進行對比,驗證了三角級數法的合理性和適用性;最后總結得出三角級數法用于集中力和均布力作用下的簡支梁撓度、懸臂梁撓度的跨高比適用范圍。3.采用三角級數法對集中力和均布力作用下波形鋼腹板組合梁的內力、應力進行了分析,并與空間有限元計算結果進行對比,結果表明:(1)波形鋼腹板組合梁的抗彎主要由混凝土頂底板承擔,比例高達99%;(2)抗剪主要由鋼腹板承擔,比例高達85%以上;(3)組合梁截面變形滿足"擬平截面假定";(4)混凝土頂底板的剪應力很小,波形鋼腹板的剪應力沿梁高呈等值均勻分布。所得到的研究成果可為波形鋼腹板組合梁的設計和計算提供理論依據。
[Abstract]:Corrugated steel web composite beam is a new type of composite structure, which has the advantages of light weight, high prestress efficiency and good construction performance. It is distinguished from the traditional prestressed concrete box girder by the obvious shear deformation of the steel web. Therefore, the shear behavior of the steel web must be considered when analyzing the bending deformation of the corrugated steel web composite beam. The main work of this paper is as follows: 1. In this paper, the deformation characteristics of corrugated steel web composite beams are analyzed. Combined with the stiffness characteristics, the existing methods for calculating the deflection of corrugated steel web composite beams are summarized into four methods: elementary beam theory, Timoshenko beam theory, and so on. The theory of elastic shear deformation bending and the effective stiffness method are compared and analyzed. The theoretical differences of the four methods are as follows: (1) the assumption of cross-section deformation is different; (2) the shear bearing ratio of steel web plate is different; (3) the key influence parameters are different. Finally, through the establishment of the spatial finite element model, the application range of the different span height ratio of each deflection calculation method of the corrugated steel web composite beam is summarized. 2. 2. The triangular series method is introduced to represent three basic displacement functions in the form of trigonometric series: steel web shear deformation angle function, top and bottom plate rotation function, composite beam deflection, based on the principle of minimum potential energy. The bending deformation calculation models of simply supported and cantilever corrugated steel web composite beams are derived respectively. By establishing the spatial finite element model and comparing with the elementary beam theory and the Timoshenko beam theory, the rationality and applicability of the triangular series method are verified. Finally, it is concluded that the triangle series method is applied to the deflection of simply supported beam under the action of concentrated force and uniform force, and the applicable range of span to height ratio of deflection of cantilever beam is 3. 3. The internal force and stress of corrugated steel web composite beam under the action of concentrated force and uniform force are analyzed by means of triangle series method, and the results are compared with the results of spatial finite element method. The results show that: (1) the bending resistance of corrugated steel web composite beams is mainly carried by the concrete roof and bottom slab, and the ratio is as high as 99%; (2) the shear resistance is mainly carried by the steel web, the proportion is as high as 85%, (3) the section deformation of the composite beam meets the "pseudo-plane section assumption"; (4) the shear stress of concrete roof and bottom slab is very small, and the shear stress of corrugated steel web plate distributes uniformly along the beam height. The results can provide theoretical basis for the design and calculation of corrugated steel web composite beams.
【學位授予單位】：西南交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：U441

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本文編號：2401546