An Improved Flexibility Formulation for Nonlinear Analysis of Reinforced Concrete Frames

Vali pour, H. R. and Foster, S. J. (2007). An Improved Flexibility Formulation for Nonlinear Analysis of Reinforced Concrete Frames. In: Martin Veidt, Faris Albermani, Bill Daniel, John Griffiths, Doug Hargreaves, Ross McAree, Paul Meehan and Andy Tan, Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007). 5th Australasian Congress on Applied Mechanics (ACAM 2007), Brisbane, Australia, (812-817). 10-12 December, 2007.

 
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Author(s) Vali pour, H. R.
Foster, S. J.
Title of paper An Improved Flexibility Formulation for Nonlinear Analysis of Reinforced Concrete Frames
Conference name 5th Australasian Congress on Applied Mechanics (ACAM 2007)
Conference location Brisbane, Australia
Conference dates 10-12 December, 2007
Proceedings title Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007)
Editor(s) Martin Veidt
Faris Albermani
Bill Daniel
John Griffiths
Doug Hargreaves
Ross McAree
Paul Meehan
Andy Tan
Place published Brisbane
Publisher Engineers Australia
Publication date 2007
Year available 2008
Volume number 1
ISBN 0 8582 5862 5
Start page 812
End page 817
Total pages 6
Collection year 2007
Language eng
Abstract/Summary 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.
Subjects 290501 Mechanical Engineering
Keyword(s) finite element
flexibility matrix
monotonic loading
Navier-Bernoulli hypothesis
 
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