Efficient Calculation Method And Reinforcement Arrangement Of Skew Rib Floor

Currently the orthogonal grid rib floor is extensively used,and the calculation method and the charts are very mature.As the need of construction,sometimes skew grid rib floor is used,which gives lively appearance for public building hall,and doesn't need the ceiling,thereby saving investment and increasing clear room.Due to the wide use of skew grid rib fl-oor,both accurate analysis of skew plate bending,and study on the internal forces and rein-forcment method of skew grid plate have significantly theoretical and practical value.The main research in this thesis results are as follows:(1) Based on the elastic plate bending theory and the conversion relation of non-dimensional oblique coordinate system and rectangular coordinate system,the equations of isotropic and orthotropic skew plate are derived,which greatly simplify the formulation process.At the same time,this paper provides boundary conditions and internal force expression under non-dimensional coordinate system.(2) Using skew plate bending equation under the non-dimensional oblique coordinate system and the Fourier series of load and deflection,as well as decomposition and superposition of the arbitrary single load,the auther obtains unified solution for deflection and internal force of skew plate under arbitrary load and with four sides supported. And using the boundary conditions of skew plate,we can get the deflection and internal force of skew plate, which is under arbitrary load with the combination of six boundary conditions and different angle,side ratio and Poisson's ratio.(3) With the program written with the mathematical software of Mathematica,the paper compares the calculation results with the results of ANSYS of skew plate with four sides supported under arbitrary load and the results of the rectangular plate with the literature. Both of them are in good agreement,and the accuracy of the calculation method is verified. The tables of coefficient of deflection and moment under uniform load with the combination of six boundary conditions to supply reference for the engineering design.(4) Based on the practical calculation method of continuous rectangular plates of the grid rib floor,this paper gives the practical calculation method of skew grid rib floor under uniform load and center partial load in the most adverse condition. (5) By the yield-line theory, according to the Johansen yield rules,the auther estabilis-hes the relation of actual moment and limit resistance moment and the research and cacula-tion on reinforecement in plastic state,as well as the optimization of reinforcement are carried out.