Yield Design of Reinforced Concrete Slabs Using a Numerical Equilibrium Formulation
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
This paper presents a numerical procedure based on equilibrium finite elements and conic programming for plastic collapse load computation of reinforced concrete slabs governed by the Nielsen yield criterion. Bending moment fields are approximated using the enhanced Morley elements with an added second-degree moment field, allowing exact equilibrium relations to be achieved when applying a uniform pressure to the slabs. Conic programming, which is robust and efficient, is incorporated into the obtained discrete equilibrium formulation to ensure solutions can be obtained rapidly. Several slabs of arbitrary geometries and boundary conditions are examined, providing accurate collapse load multipliers and distributions of moment fields at the limit state.
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Acknowledgments
This research has been supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 107.01-2015.41.
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©2017 American Society of Civil Engineers.
History
Received: Oct 29, 2016
Accepted: Feb 17, 2017
Published online: May 19, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 19, 2017
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