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<p>The intricate interactions among the parameters governing the shear strength (SS) of non-stirrup ultra-high-performance concrete beam (NS-UHPCB) have motivated researchers to develop theoretical models. This study employed response surface methodology to optimize key parameters and evaluate their effects on SS through a nonlinear equation. Four variables derived from a dataset of 95 NS-UHPCB were analyzed: compressive strength (CS) ranging from 120 to 180 MPa, shear span-to-effective-depth ratio (a/d) from 0.8 to 4.61, longitudinal reinforcement ratio (<i>ρ</i>) from 0.8% to 8.2%, and steel fiber content (<i>β</i>) from 0 to 3%. The desirability function was used for optimization, while sensitivity analysis quantified the significance of each parameter. The results revealed that a/d had the dominant influence (50.9%), followed by <i>β</i> (35.2%), <i>ρ</i> (13.2%), and CS (0.7%). Sensitivity coefficients further confirmed the influence direction and magnitude, with a/d (− 3.2) being the most critical factor, followed by <i>β</i> (+ 2.2), <i>ρ</i> (+ 0.83), and CS (+ 0.06). Among 100 numerical solutions generated, the optimal combination corresponding to the highest SS was CS = 150 MPa, a/d = 1.3, <i>ρ</i> = 4.6%, and <i>β</i> = 2.7%. The developed equation exhibited acceptable predictive performance with high correlation and low error, providing a practical and efficient tool for understanding and predicting the shear strength of NS-UHPCB.</p>

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Response surface methodology for assessing the involved parameters affecting shear strength of non-stirrup UHPC beams

  • 期刊论文

  • 发表日期：

    2026年3月3日

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  • Aso Abdulghafur Faqe Rahim,
  • Raizal Saifulnaz Muhammad Rashid,
  • Nor Azizi,
  • Badronnisa Yusuf,
  • Voo Yen lei

摘要

The intricate interactions among the parameters governing the shear strength (SS) of non-stirrup ultra-high-performance concrete beam (NS-UHPCB) have motivated researchers to develop theoretical models. This study employed response surface methodology to optimize key parameters and evaluate their effects on SS through a nonlinear equation. Four variables derived from a dataset of 95 NS-UHPCB were analyzed: compressive strength (CS) ranging from 120 to 180 MPa, shear span-to-effective-depth ratio (a/d) from 0.8 to 4.61, longitudinal reinforcement ratio (ρ) from 0.8% to 8.2%, and steel fiber content (β) from 0 to 3%. The desirability function was used for optimization, while sensitivity analysis quantified the significance of each parameter. The results revealed that a/d had the dominant influence (50.9%), followed by β (35.2%), ρ (13.2%), and CS (0.7%). Sensitivity coefficients further confirmed the influence direction and magnitude, with a/d (− 3.2) being the most critical factor, followed by β (+ 2.2), ρ (+ 0.83), and CS (+ 0.06). Among 100 numerical solutions generated, the optimal combination corresponding to the highest SS was CS = 150 MPa, a/d = 1.3, ρ = 4.6%, and β = 2.7%. The developed equation exhibited acceptable predictive performance with high correlation and low error, providing a practical and efficient tool for understanding and predicting the shear strength of NS-UHPCB.