Optimization-Based Analysis of Diagonal Tension Failure of Reinforced Concrete Dapped-End Beams
Publication: Journal of Structural Engineering
Volume 150, Issue 10
Abstract
This work was conducted first to devise an explicit equation for the ultimate strength of reinforced concrete dapped-end beams failing in diagonal tension caused by re-entrant corner cracks and second to gain insight into its mechanical behavior. To these ends, we introduce force equilibrium equations that explicitly account for the relevant internal force-resisting components: hanger reinforcement; dowel action of longitudinal reinforcement; concrete compression zone; aggregate interlock; and other reinforcement-related terms. These equations are solved within the framework of a constrained optimization problem. The solution process enables us to quantify the ultimate strength and the contributions of all force transfer actions. Strength prediction validity was confirmed through comparisons with experimentally obtained strength data from 50 specimens collected from the available literature. Our findings indicate the prediction accuracy as superior to that of a strut-and-tie model and design provisions of the Precast/Prestressed Concrete Institute. For practical purposes, a minimalist version of the equilibrium equation is derived to estimate the ultimate strength of diagonal tension failure based on rational simplifications of the force transfer mechanisms.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The first author gratefully acknowledges the financial support provided by a Grant-in-Aid for Scientific Research from the Japan Society of Promotion of Science (JP21KK0072) and the Obayashi Foundation for conducting research at the Department of Civil and Environmental Engineering of the University of California, Davis, US.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 150 • Issue 10 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jul 26, 2023
Accepted: Apr 30, 2024
Published online: Jul 29, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 29, 2024
ASCE Technical Topics:
- Analysis (by type)
- Beams
- Concrete
- Concrete beams
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Equilibrium
- Failure analysis
- Material mechanics
- Material properties
- Materials engineering
- Model accuracy
- Models (by type)
- Reinforced concrete
- Statics (mechanics)
- Strength of materials
- Structural engineering
- Structural members
- Structural systems
- Tensile strength
- Tension members
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