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(4) The stress-strain relationship for the concrete is nonlinear and is a function of many variables. In view of such great complexities, an analysis to determine principal stresses throughout reinforced concrete members by classical theories is virtually impossible. Recently the finite element method has been used for the investigation of nonlinear behavior of reinforced concrete structures. Ngo and Scordelis", C. H. Nam and C. G. Salmon8) studied simple beam problems. J. C. Jofriet and G. M. McNeice13)studied the behavior of simple beams and corner supported two-way slab. M. K. Wanchoo and G. W. May14) studied the cracking behavior of reinforced concrete plates. Their analytical results were acceptable but not fully successful because of the complexities involved in establishing a suitable finite element approach that could utilize a proper constitutive law for reinforced concrete, considering cracking, the nonlinear stress-strain behavior under short-time loadings, and the bond-slip interaction at the steel-concrete interface. The finite difference technique has been satisfactorily applied to analyse plates in flexure. Example of this is the work done by A. K. Bhaumik and J. T. Hauley4). However, their analysis is applicable to metallic plates only. In the present paper the finite difference method is used to establish the procedure which enables to take account of high discontinuity in reinforced concrete beams and plates. The analysis can be used to predict the full range behavior of reinforced concrete beams and reinforced concrete simply supported plate. Finally, by comparing the analytical results with test results and ACT (1971) recommendations6), the accuracy of this method is checked.

FINITE DIFFERENCE ANALYSIS OF REINFORCED CONCRETE PLATE WITH MATERIAL NONLINEARITY