Nonlinear Deflection Analysis Of Reinforced Concrete Two-way Slab Considering Beam's Deformation

Reinforced concrete two-way slabs are widely used in industry and civilian constructions, especially along with the development of long-span, large space buildings. The longer the span of the reinforced concrete two-way slab, the more important of the forecast the deflection of the slab in normal stage. At the present, the elastic thin-slab flexure theory is usually adopted when calculating the deflection of slab, what's more, the support beams are always considered as the rigid mount. These result in the huge difference between calculation results and practical circumstances, especially when the span of the slab is long and the rigidity of beam is small, the difference is huger. Therefore, the nonlinear analysis of reinforced concrete two-way thin-slab is necessary and the deforming of the beam must be considered.Nonlinear finite element analysis of reinforced concrete two-way thin-slab of frame construction, which is subjected uniformly distributed load and four sides supported by spring beams in the normal stage, is carried out in this thesis. The deforming of the beam's contribution is simplified as the slab's displacement boundary conditions, which is carried out by combination of the rigidities of slab and beams. Nonlinear finite element programs in every condition are designed with the combination of incremental and iterative method. The calculations about reinforced concrete two-way thin-slab of frame work with different load forms, different beam-to-slab relative stiffness, and different slab thickness are carried out. The results of programs are compared with test results and those of ANSYS. So that the approach carried out in the thesis is confirmed. At the end, by nonlinear regression of the results with MATLAB and ORIGINLAB, formulas of deflection of slab are summarized. So some references can be obtained for practical engineering.