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Unified Flexural Design Method for Deep and Shallow Beams Using Non-Linear Grid Model

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The fundamental design theory of reinforced concrete deep beams is not consistent with that of shallow beams due to non-compliance with the plane section assumption. This paper proposes a grid model that is valid for the flexural capacity prediction and reinforcement design of both shallow and deep beams, which unifies the design process and extends the sectional analysis to deep beams. The grid model is actually based on structural analysis such that stress distribution can be calculated automatically without the plane section assumption. In order to apply sectional design principles, it assumes that design of the critical section is independent of the status of other sections, which means that other sections will remain elastic when the critical section fails. As a result, by inserting the concerned section into the grid model with non-linear material constitutive relationship and failure criteria, the capacity prediction and reinforcement design on that section can be achieved. The axial grid in the grid model guides the design of the flexural reinforcement in two kinds of layouts. Two series of experiments are listed to validate the model. The results of the proposed method are also compared with other wellestablished methods, for example traditional sectional method, layered section approach and strut-and-tie model (STM) method.
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Keywords: DEEP BEAMS; FLEXURAL CAPACITY; GRID MODEL; REINFORCEMENT DESIGN; SECTIONAL ANALYSIS

Document Type: Research Article

Publication date: 01 November 2017

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    Structural Engineering International (SEI), the quarterly Journal of IABSE, published since 1991, is the leading international journal of structural engineering dealing with all types of structures and materials. SEI offers its readers a unique blend of short profiles on recent structures, and longer, in-depth technical articles on research, development, design, construction and maintenance. Articles are written by practicing engineers and academia from around the world and reflect the high standards of IABSE. IABSE Peer Review stamps are given to papers that have passed through a highly selective review process and demonstrate a significant contribution to the state of structural engineering knowledge.To recognise contributions of the highest quality, an Outstanding Paper Award is presented each year.

    SEI is printed in Switzerland; ISSN 1016-8664; E-ISSN 1683-0350
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