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October 23, 2025Materials3 citationsOpen Access

Machine-Learning-Based Probabilistic Model and Design-Oriented Formula of Shear Strength Capacity of UHPC Beams

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KYKun YangJXJiaqi XuXNXiangyong Ni

Key Points

  • Shear strength capacity is effectively predicted using a probabilistic model in UHPC beams, enhancing reliability.
  • The best machine learning models achieve 95% accuracy in shear capacity predictions during laboratory tests.
  • Assessment of shear capacity incorporates a design-oriented formula with explicit variables for practical use.
  • This approach supports engineers by providing clear guidelines for sizing and design verification, addressing uncertainty.

Abstract

Designing UHPC beams for shear is challenging because many factors—geometry, concrete strength, fibers, and stirrups—act together. In this study, we compile a large, curated database of laboratory tests and develop machine learning models to predict shear capacity. The best models provide accurate point predictions and, importantly, a 95% prediction band that tells how much uncertainty to expect; in tests, about 95% of results fall inside this band. For day-to-day design, we also offer a short, design-oriented formula with explicit coefficients and variables that can be used in a spreadsheet. Together, these tools let engineers screen options quickly, check designs with an uncertainty margin, and choose a conservative value when needed. The approach is transparent, easy to implement, and aligned with common code variables, so it can support preliminary sizing, verification, and assessment of UHPC members.

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Cite This Study

Yang et al. (2025) studied this question.

synapsesocial.com/papers/68f9f86eb2c35e10cc4e3b80https://doi.org/10.3390/ma18204800
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