ORIGINAL RESEARCH article

Front. Built Environ.

Sec. Geotechnical Engineering

Volume 11 - 2025 | doi: 10.3389/fbuil.2025.1629114

This article is part of the Research TopicAdvances in Buried Structure ResearchView all 3 articles

A Prediction Model for the Calculation of Effective Stiffness of Circular Hollow Reinforced Concrete Piers

Provisionally accepted
Zequn  HouZequn Hou1Guiqian  LiGuiqian Li2Wanpeng  ShiWanpeng Shi3*
  • 1Guangxi Traffic Design Group Co., LTD, nanning, China
  • 2Guangxi Vocational and Technical College of Communications, nanning, China
  • 3South China University of Technology, Guangzhou, China

The final, formatted version of the article will be published soon.

To develop a more rational and practical model for estimating the effective stiffness (ES) of circular hollow reinforced concrete piers (CHRCPs), this study compiled a database of 50 quasi-static tests on CHRCPs exhibiting flexural failure, covering axial load ratios of 0.05-0.3, longitudinal reinforcement ratios of 1.0%-5.4%, shear-span ratios of 2.5-6.1, and hollowness ratios of 0.25-0.77. The applicability of existing reinforced concrete piers ES models to CHRCPs was systematically evaluated. Key influencing parameters the ES of CHRCPs were identified and quantified using a simplified three-component yield displacement model. Meanwhile, a new regression-based model was proposed and calibrated through parametric analysis. The model’s accuracy was validated by simulating the lateral force–displacement responses of one full-scale and one scaled CHRCPs. The results demonstrate that, most existing ES models significantly overestimate the ES of CHRCPs, with mean calculated-to-experimental stiffness ratios ranging from 1.41 to 3.68 and coefficients of variation (CVs) of 0.25-0.41. The ES of CHRCPs increases with the axial load ratio, longitudinal reinforcement ratio, and shear-span ratio but decreases with the hollowness ratio. The interaction between shear-span and hollowness ratios was effectively captured via an equivalent shear-span ratio. The proposed model achieves a mean calculated-to-measured stiffness ratio of 1.04 with a CV of 0.21, indicating significantly improved accuracy and reduced dispersion. The proposed model showed good applicability to 11 round-ended hollow piers, achieving a mean stiffness ratio of 0.976 and a mean relative error of 14%, outperforming existing models.

Keywords: Reinforced concrete, circular hollow pier, Effective stiffness, Hollow ratio, Regression Analysis

Received: 15 May 2025; Accepted: 10 Jul 2025.

Copyright: © 2025 Hou, Li and Shi. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Wanpeng Shi, South China University of Technology, Guangzhou, China

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