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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 56
Edited by: B.H.V. Topping
Paper V.4

Nonlinear Analysis of Planar Reinforced Concrete Frames

L.J. Leu and J.C. Cheng

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

Full Bibliographic Reference for this paper
L.J. Leu, J.C. Cheng, "Nonlinear Analysis of Planar Reinforced Concrete Frames", in B.H.V. Topping, (Editor), "Advances in Civil and Structural Engineering Computing for Practice", Civil-Comp Press, Edinburgh, UK, pp 187-196, 1998. doi:10.4203/ccp.56.5.4
This paper is concerned with geometrically and materially nonlinear analysis of planar reinforced concrete framed structures with a great emphasis on how to model efficiently and accurately the effect of material nonlinearity. The proposed method accounts for the effects of cracking of concrete and yielding of reinforcement without discretization through the cross section and along the length of a member. This is achieved by the following procedure. First, the generalized stress-strain relationships of a cross section are derived. Next, nonlinear force-deformation relationships for the member are obtained through lengthwise integration of the generalized strains. Incremental flexibility coefficients are then calculated by differentiation of the above force-deformation relationships. Finally, an incremental inelastic stiffness matrix is obtained by the use of the congruent transformation or the flexibility-stiffness transformation. The accuracy and efficiency of the derived inelastic stiffness matrix are verified by several example problems.

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