Abstract
With the improvement of building standard, structural form becomes more and more complicated. The utility rate of special-shaped column, corner window and cantilever structure is higher and higher, which often makes reinforced concrete floor slabs in a discontinuous constraint state. To make the design of discontinuous constraint slabs more scientific, the author puts forward a kind of numerical method that can solve the problem of low calculation precision. On this basis, the numerical method is applied to solve the problem of rectangular slabs with two simply supported and the other with part of simply supported and part of clamped ,having a theoretical analysis of the result to verify that the calculation method is correct. The result shows : 1. For discontinuous constraint slabs, the displacement difference is large and the average is 10%~20% when it comes to whether the method is adopted or not. 2. For discontinuous constraint slabs, higher precision is obtained by using the numerical method proposed in this paper. And it is necessary to consider the influence of boundary constraints when we design discontinuous Constraint slabs.
Highlights
The boundary conditions of floor can be divided into two categories
Higher precision is obtained by using the numerical method proposed in this paper
It is necessary to consider the influence of boundary constraints when we design discontinuous Constraint slabs
Summary
One is comprehensive boundary condition, the other is mixed boundary condition (referring to the edge of the rectangular slab with two or over two kinds of boundary conditions). Slabs with comprehesive boundary conditions are known as simple constraint slabs; Slabs with mixed boundary conditions are known as complex constraint slabs. Researches on simple constraint slabs are fruitful, whereas the complex constraint slabs are studied on starting late in engineering community[1~4].Eyre was the first to introduce a question with regard to free vibration problem of rectangular slabs with three supported boundaries and the other part of supported boundaries and part of builtin boundaries, and gave the relevant solutions.On this basis, WangGang, Qingxiang Wang and others studied successively on the vibration and carrying capacity of discontinuous constraint slabs, but obtained few breakthrough results[5~7]. On the basis of the elastic slab theory, I will present numerical method for the complex constrained slabs to you combined with the finite difference method .Strict as it is,the method considers complex constraint situation, giving you more accurate calculation results than simplified processing method and providing technical support for the design of slabs
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