The Non-Linear Finite Element Calculation Of Composite Beam Considering The Slippage

The main content is to calculate the slippage formula and deflection formula of composite beam considering the slippage of steel-concrete under different loads. Calculate the elastic element stiffness matrix of composite beam. Calculate the deformation of composite beam and redistribution of internal forces of reinforced concrete beam with the calculation program.Firstly, analyse the section stress of composite beam with different share connectors and the deformation of composite beam, and calculate the relevant formula. In the analysis of composite beam in plastic stage, calculate and analysis the section stress considering the different locations of neutral axis. Establish the differential equation of the slippage of steel-concrete interface of composite beam, and calculate the slippage of steel-concrete interface formula under different loads according the boundary conditions.Secondly, calculate the basic formula of material nonlinearity problem and idiographic analysis of one-dimensional elastic-plastic problem. Advance some kinds of different iterations base on Newton-Raphson iteration to calculate the non-linear equations. Calculate the elastic element stiffness matrix of composite beam, and the plastic element stiffness matrix.Finally, analyse and calculate the slippage of steel-concrete interface and deflection of composite beam with different share connectors and different distribution of share connectors of the simply supported composite beam and the continuous composite beam. Analyse the element stress in plastic problem. Analyse the redistribution of internal forces of structure. Calculate the plastic hinge of continuous reinforced concrete beam and the limitation of plastic hinge.