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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 79
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and C.A. Mota Soares
Paper 176
An Empirical Model for Curvature Ductility of Reinforced High-Strength Concrete Sections O.M.O. Ramadan+ and S.F. Kansouh*
+Structural Engineering Department, Faculty of Engineering, Cairo University, Egypt
Full Bibliographic Reference for this paper
O.M.O. Ramadan, S.F. Kansouh, "An Empirical Model for Curvature Ductility of Reinforced High-Strength Concrete Sections", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 176, 2004. doi:10.4203/ccp.79.176
Keywords: high strength concrete, flexural ductility, balanced strain reinforcement ratio, empirical relations, theoretical model.
Summary
Ductility is the essential structure property that is responsible for post-yield
behavior during severe shaking. Structure ductility is also important for static load
cases as it provides warning of imminent failure and leads to a more rational
bending moment distributions between sagging and hogging moments in statically
indeterminate reinforced concrete structures [1,2].
The ductility of a section is normally expressed in terms of its curvature ductility
factor
This paper investigates the curvature ductility for high strength reinforced concrete sections and provides a simple, yet efficient, empirical formula to calculate section curvature ductility. First, a computer program is developed for numerical calculations of section moment-curvature relationship. This program follows an iterative approach and utilizes a recently published stress-strain relationship for high-strength concrete [3].
The established moment-curvature relationship is then utilized to predict the yield
The program is then implemented in an extensive parametric study to evaluate the effects of various design parameters on section curvature ductility. Finally, the obtained numerical results are used to establish an empirical formula for curvature ductility of high strength concrete sections through nonlinear regression analysis.
The arguments of the proposed formula are the section ratios of tension,
This formulas' constant parameters (
Empirical formulas for The proposed formulas should be useful to design engineers. For instance, a design engineer can use them find out and quantify different ways to achieve the desired ductility level, e.g. by using a certain amount of compression reinforcement, by adjusting the depth to compression reinforcement d', or by increasing the concrete compressive strength to a specific level. He can then decide which way is more proper (technical and economical) for his specific application. References
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