Calculation models of slabs with one-way connections

Objective. The aim of the study is to determine the performance characteristics of plate structures with one-sided connections. The paper considers issues that allow constructing calculation models of slabs on discrete supports and solid arrays with one-sided connections, and provides algorithms that allow analyzing the performance of plate structures (two-dimensional structures in plan). Method . Analytical and graphical dependencies between slab displacements and their support reactions are constructed. Properties of generalized functions are used to describe nonlinearities that occur during structural deformations. Differential equations for transverse bending of slabs are presented, taking into account the above-mentioned performance characteristics of supports. Methods for solving these equations are presented. Result . The presented design and calculation schemes allow correctly taking into account the performance of plate structure supports, and obtaining more accurate values of deflections and internal forces in sections on this basis, which ensures the required reliability of the structure. The results are presented in the form of analytical expressions, graphs, and tables. Conclusion . Design and calculation schemes of plate structures with the features of the work of supports with one-sided connections have been developed. Recommendations have been formulated that can be used in the design of real plate structures with one-sided connections.