【摘要】：波形鋼腹板組合梁是一種新型組合結(jié)構(gòu),具有結(jié)構(gòu)自重輕、預(yù)應(yīng)力效率高、施工性能良好等優(yōu)點(diǎn)而得到廣泛應(yīng)用,其區(qū)別于傳統(tǒng)預(yù)應(yīng)力混凝土箱梁的特點(diǎn)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(shí),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(diǎn),結(jié)合其剛度特征,將現(xiàn)有波形鋼腹板組合梁撓度的計(jì)算方法總結(jié)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(duì)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(dān)比例不同;(3)關(guān)鍵影響參數(shù)不同。最后通過(guò)建立空間有限元模型總結(jié)出波形鋼腹板組合梁各撓度計(jì)算方法的不同跨高比適用范圍。2.引入三角級(jí)數(shù)法,以三角級(jí)數(shù)形式表示三個(gè)基本的位移函數(shù):鋼腹板剪切變形轉(zhuǎn)角函數(shù)、頂?shù)装遛D(zhuǎn)角函數(shù)、組合梁撓度,基于最小勢(shì)能原理,分別推導(dǎo)了簡(jiǎn)支和懸臂波形鋼腹板組合梁彎曲變形計(jì)算模型。通過(guò)建立空間有限元模型,并與初等梁理論、Timoshenko梁理論進(jìn)行對(duì)比,驗(yàn)證了三角級(jí)數(shù)法的合理性和適用性;最后總結(jié)得出三角級(jí)數(shù)法用于集中力和均布力作用下的簡(jiǎn)支梁撓度、懸臂梁撓度的跨高比適用范圍。3.采用三角級(jí)數(shù)法對(duì)集中力和均布力作用下波形鋼腹板組合梁的內(nèi)力、應(yīng)力進(jìn)行了分析,并與空間有限元計(jì)算結(jié)果進(jìn)行對(duì)比,結(jié)果表明:(1)波形鋼腹板組合梁的抗彎主要由混凝土頂?shù)装宄袚?dān),比例高達(dá)99%;(2)抗剪主要由鋼腹板承擔(dān),比例高達(dá)85%以上;(3)組合梁截面變形滿足"擬平截面假定";(4)混凝土頂?shù)装宓募魬?yīng)力很小,波形鋼腹板的剪應(yīng)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(shè)計(jì)和計(jì)算提供理論依據(jù)。
[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(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：U441

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