| The compound material is a kind of the new material that recently develop, the CFRP as a kind of compound material to be a type of reinforce the material is also extensively used in civil engineering. This text according to the Layer Matches Plank precision solution theories to deduce a theories method that is applicable to resolve the concrete beam that reinforced by the CFRP, mainly aim at the displacement in variety toward of the beam, and the layer stress between fiber and concrete layers that can hardly resolve currently, and adopt the way of numerical simulating to validate the result to get a dependable theories calculation method and result. This text is divided into four chapters, the second and third chapters are main core content, and the concrete contents elaborate as follows:Chapter 1 firstly introduces the characteristics of the compound material and the characteristics of the concrete beam that and the reinforced by the CFRP, as well describe the development,existing research results and present conditions of the Layer Matches Plank theories, along with present conditions of solve the concrete beam that and the reinforced by the CFRP by this theory, in the end elaborate the purpose, the content and the progress and advantages of this text.Chapter 2 we deduced the process of solving the concrete beam that reinforced by the CFRP that making the use of the Layer Matches Plank precision solution theories. The mechanics performance of the Layer Matches Plank decided by the mechanics performance of monolayer and spread of the layers. The relation of the stress and strain of the norm isotropy plank are the same in any direction, but in the case of crazing or delimitation happened in the Layer Matches Plank the relation are not exist, the structure of the spread must be affect the dandification in part and the finally intension. First of all we deduce the relation between the stress and strain of the single panel begin with predicament equation, KNow from other methods we induce the concept of predicament space, so that we can cut down many suspensions. The method that solves the single panel is also the foundation and precondition of solving the multilayer panel. Divided the beam into several layers base on the requested precision, deduce the precision result of the Layer Matches Plank. Mainly take the expression of the displacement and stress into series by Fourier series, separated the variable. Because of the stress and displacement is concatenation in each layer, we can build a relationship between each layer with the first layer. So we only solve the mechanics in first layer and the constant by the boundary condition and then the beam can be solved. This method according as Layer Matches Plank precision solution theories has few unKNown quantity, satisfy the basic equation contains the all elasticity constant, and it also has original superiority in solving the concrete beam reinforced by the CFRP. Compared with other methods this method cut down the basic supposes because of the predicament space, and also improving the precision.Chapter 3 model and analysis to the beam body by the software ANSYS, for reverting the exacted condition as far as possible, we adopt nonlinear analysis. The ANSYS can model the concrete by SOLID65 the steel bar by Link8 the CFRP by Shell41.So we can model the composite beam by the software. Take two kinds of the result into contrast, so we can validate the reliability of the calculation because the reinforced concrete is already a molding material the constitutional relationship is ascertain. So this text mainly aims at the result between the CFRP layer and concrete layer. The stress between these two layers and the displacement in each direction at the bottom of the beam are the keystones in solving the beam. Analyses the current,orderliness,magnitude of the stress between two layers. Sums up the function play in layer miss out. At the same time analyses the change in displacement so that we could the function of the CFRP played in control the bend of the beam. Finally analyses the error, the errors have came from the calculation program and the ANSYS model. The theory errors on one hand comes from the two supposes, on the other hand comes from the calculation. In view of the convergence, so we can not pick the number according to the theories and some formulas must be predigested. The ANSYS model's errors first comes from the relationship of the stress and strain did not accord to the exact, second the three material be connect ideally but the fact is not such as this. The third factor considering constringent some parameter can not chooses too little,or else the precision can be affect. All these factors are the main reason for making the error between theories and fact, between the two methods .Chapter 4 elaborates the main conclusion that utilizing precision theories to solve the composite beam. On one hand it is the conclusion about the feasibility of the theories; On the other hand it is the common orderliness of the stress between the CFRP and the concrete in different loads. The next in order, we also have some problems such as series outspread,picking the notes,focus load. |