Technical Papers
Mar 27, 2024

Analytical Model for Calculating Shear Capacity of NSC Beams Strengthened by UHPC Lateral Layers

Publication: Journal of Structural Engineering
Volume 150, Issue 6

Abstract

The utilization of ultrahigh-performance concrete (UHPC) as lateral or U-shaped thin layers to strengthen the shear-deficient normal-strength concrete (NSC) beams is an effective and promising way to increase their stiffness and shear capacity. However, the lack of an accurate analytical model to estimate the shear capacity of UHPC-strengthened beams could be a critical obstacle to its further application. This paper presents a new analytical model for calculating the shear capacity of UHPC-lateral-strengthened beams, which is the first to be based on the simplified modified compression field theory (SMCFT). The model is also distinguished by considering the full compressive and tensile stress–strain curves of UHPC instead of only using their ultimate strengths. By assuming a complete strain transfer at the NSC–UHPC interface and the coincidence of the principal stress and strain axes in the NSC substrate and UHPC layers, the strain compatibility between the two components are included in the shear calculation. The model predictions were validated in two steps, first by using principal strain measurements in the shear span of five beams from digital image correlation (DIC) data to confirm the strain evaluation of the model, and second by reproducing the shear capacities of 12 beams from five experimental campaigns. Results showed a clear agreement between the strains calculated by the analytical model and those measured in experiments. The shear capacities of UHPC-lateral-strengthened beams calculated by the analytical model obtained a very high accuracy and a low variance to replicate experimental results. The model allows evaluation of the contributions of each beam components (NSC substrate, stirrups, and UHPC layers). Results confirmed that the increase in the shear capacity of strengthened beams mainly comes from the high tensile strength of the UHPC and the thickness of the UHPC layer, as well as the improved contribution of the stirrups.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The authors would like to acknowledge the financial support obtained from NSERC and MITACS (Canadian granting agencies), and industrial partners involved in the research project (BPDL, City of Montreal, Euclid, Jacques-Cartier, and Champlain Bridges Inc., Sika and St-Lawrence Seaway). The authors gratefully acknowledge the financial support from the China Scholarship Council (CSC) and the help of the technical team of Polytechnique Montreal Structural Laboratory.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 6June 2024

History

Received: Jun 6, 2023
Accepted: Jan 10, 2024
Published online: Mar 27, 2024
Published in print: Jun 1, 2024
Discussion open until: Aug 27, 2024

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Dept. of Civil, Geological and Mining Engineering, Polytechnique Montreal, Montreal, QC, Canada H3C 3A7. ORCID: https://orcid.org/0000-0002-5799-9447
Full Professor, Dept. of Civil, Geological and Mining Engineering, Polytechnique Montreal, Montreal, QC, Canada H3C 3A7 (corresponding author). ORCID: https://orcid.org/0000-0002-8982-1125. Email: [email protected]

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