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The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
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Machine-Learning-Based Probabilistic Model and Design-Oriented Formula of Shear Strength Capacity of UHPC Beams.

Kun Yang1, Jiaqi Xu1,2, Xiangyong Ni3

  • 1CNEC Innovation Technology Co., Ltd., Shanghai 201702, China.

Materials (Basel, Switzerland)
|October 29, 2025
PubMed
Summary

Engineers can now predict Ultra-High Performance Concrete (UHPC) beam shear capacity using machine learning models. These models offer accurate predictions and uncertainty bands, aiding in safer structural design.

Keywords:
95% confidence intervalUHPC beamhyperparameter optimizationmachine learningshear strength capacity (SSC)weight

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Area of Science:

  • Civil Engineering
  • Materials Science
  • Structural Engineering

Background:

  • Designing Ultra-High Performance Concrete (UHPC) beams for shear is complex due to the interplay of multiple design factors.
  • Existing methods may not fully capture the synergistic effects influencing shear capacity.

Purpose of the Study:

  • To develop accurate predictive models for UHPC beam shear capacity.
  • To quantify the uncertainty associated with shear capacity predictions.
  • To provide practical design tools for engineers.

Main Methods:

  • Compilation of a large, curated database of laboratory shear tests on UHPC beams.
  • Development and validation of machine learning models to predict shear capacity.
  • Formulation of a simplified, design-oriented equation.

Main Results:

  • Machine learning models achieved accurate point predictions for shear capacity.
  • The best models provided a 95% prediction band, with approximately 95% of test results falling within this range.
  • A user-friendly design formula was developed for spreadsheet implementation.

Conclusions:

  • The developed machine learning models and design formula enhance the prediction of UHPC beam shear capacity.
  • These tools offer engineers improved capabilities for screening options, checking designs with uncertainty margins, and selecting conservative values.
  • The transparent and implementable approach supports preliminary sizing, verification, and assessment of UHPC members in alignment with common code variables.