Finite Element Analysis of RC Frames

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Abstract
A method based on finite element technique is presented for the analysis of reinforced concrete plane frames subjected to proportional vertical and lateral loading. The method considers nonlinear behavior of reinforced concrete plane frames arising out of material nonlinearity and large displacements. The method has several special features. It uses a single beam column element with five degrees of freedom (i.e., two end rotations, two end deflections, and one deflection at midlength position) for columns as well as girders. Analytical integration leading to closed form solution is used to evaluate the contribution of concrete area to the axial load and moment acting on the cross section. The iterative method, which is used for solution of nonlinear equations, is based on modified Newton‐Raphson technique. Convergence is ensured by resorting to Aitken delta square extrapolation technique. This method computes the complete load‐deflection response of the frame including the drooping branch. Two illustrative examples are presented to demonstrate the feasibility, accuracy, and efficiency of the method. The method, in its slightly modified version, is also applicable to steel frames.

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