An Improved Flexibility Formulation for Nonlinear Analysis of Reinforced Concrete Frames

Engineers Australia
Publication Type:
Conference Proceeding
Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007), 2007, 2 pp. 812 - 817
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In this paper the finite element flexibility-based formulation for a reinforced concrete frame element is discussed. The formulation takes account of material non-linearity on the basis of the onedimensional stress-strain relationships akin to the traditional fibre element. However, the fibres in this method are replaced by transverse integration points to improve the efficiency of the method. The compatibility of strain in each section is satisfied by adopting the Navier-Bernoulli hypothesis and effect of shear tractions on the nonlinear response of the material is neglected. Two different iterative solution strategies based on secant and tangent stiffness, consistent with the flexibility formulation are employed for solving the governing equation. The accuracy of assumptions and performance of the solution schemes are studied by a numerical example.
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