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CONTENTS
Volume 60, Number 2, July 25 2026
 


Abstract
This paper presents a sine series solution for horizontally composite multi-span curved beams accounting for both tangential and radial interface slip. The proposed method neglects the effects of shear deformation, sectional warping, vertical uplift at the interface, while satisfying the assumption of linear elasticity. Based on the principle of minimum potential energy, the governing equations and boundary conditions are derived with vertical displacement, torsional angle, and interface slips in two directions as fundamental unknowns. The governing equations are further transformed into a formulation involving two types of variables, namely vertical displacement, torsional angle, axial force, and in-plane bending moment. Based on this formulation, the solution for simply supported single-span horizontally composite curved beams is obtained. Using the superposition principle, the sine series solution for multi span horizontally composite curved beams is then established. Two numerical examples are provided to validate the accuracy of the proposed solution and to investigate its convergence behavior. The results demonstrate that the proposed solution is computationally efficient, requires low computational effort, and yields high accuracy, thereby offering a fast and effective tool for the preliminary design of multi-span horizontally composite curved beams considering interface slip.

Key Words
multi-span curved composite beam; parameter analysis; semi-analytical solution; sine series; slip; superposition principle

Address
Xuxi Qin:College of Traffic, Jilin University, Changchun 130025, P.R. China

Ting Zhang:College of Traffic, Jilin University, Changchun 130025, P.R. China

Guojin Tan:College of Traffic, Jilin University, Changchun 130025, P.R. China

Ruiyu Gao:College of Traffic, Jilin University, Changchun 130025, P.R. China

Weida Wang:College of Traffic, Jilin University, Changchun 130025, P.R. China

Abstract
Soil Steel Bridges combine the advantages of arch action, corrugations and soil's load carrying ability and design is often constrained to empirical methods due to inadequate quantification of their behaviour. This study identifies the effect of geometric parameters through experimental investigation and 3D finite element study. The specimen embedded in sandy soil was tested to failure and both steel structural response and soil pressure were obtained during both backfilling and loading stages. The strain readings demonstrated their ability to transfer loads without undergoing failure of soil backfill. Soil pressure variations revealed that stresses transfer efficiently through the confined soil above the structure corrugation. Parametric studies investigating soil cover depth, boundary proximity and corrugation geometry were conducted. The studies demonstrated that increasing the soil cover depth can enhance the ultimate load capacity simultaneously reducing vertical deflections. The optimum cover depth range was obtained at the cover to span ratio range of 0.3 to 0.35. Boundary effects were found to diminish beyond a critical width-to-span ratio, beyond which load capacity stabilized toward free-field conditions. Comparative analysis of different corrugation shapes revealed that sinusoidal profiles provided more uniform stress distribution and lower peak stresses than trapezoidal sheets. Comparison of bending moment and thrust variations highlight the inaccuracies of using 2D large strain analysis for these structures or plane arch equations. The conclusions derive suggestive ranges for geometric parameters and illustrate their structural application as load transferring underground structures.

Key Words
corrugated steel; finite element analysis; parametric study; soil-steel bridge; soil-structure interaction

Address
Aswin Chembrakuzhi Perikathra:Department of Civil Engineering, National Institute of Technology Tiruchirappalli, Tamil Nadu, India - 620015

Raghavan Ramalingam:Department of Civil Engineering, National Institute of Technology Tiruchirappalli, Tamil Nadu, India - 620015

Abstract
Concrete-filled steel tubular (CFST) members are widely used in civil and marine engineering owing to their high structural efficiency. However, accurate prediction of their ultimate strength remains challenging due to the complex interactions among geometric properties, material characteristics, and loading conditions. In this study, machine learning (ML) techniques are employed to predict the ultimate strength of circular CFST members under both concentric and eccentric loading. An extensive database is compiled from the literature, comprising 2186 concentrically loaded and 545 eccentrically loaded test results. Six ML algorithms - SVR, KNN, ANN, DT, RF, and XGBoost - are developed using both basic input variables and code-based intermediate parameters. The results indicate that the ML models consistently outperform conventional design code formulae, with substantial reductions in prediction error. Among the models, XGBoost exhibits the best overall performance, achieving R2 values generally above 0.92 for both concentric and eccentric loading conditions. The corresponding reduction in RMSE reaches approximately 30-70% compared with code-based predictions. The effectiveness of input features is found to depend on both the algorithm and loading condition, with code-based intermediate parameters further improving model performance in some cases. SHAP analysis shows that geometric parameters dominate the prediction process, with the outer diameter, D, and composite section area, Asc, identified as the most influential features. Overall, the proposed ML models provide an accurate and flexible alternative to traditional design approaches, with strong potential for practical application in CFST strength prediction.

Key Words
CFST; input features; machine learning; ultimate strength; XGBoost

Address
Dongqi Jiang:Department of Protective Engineering, School of Safety Science and Engineering, Nanjing University of
Science and Technology, 200 Xiaolingwei St., Nanjing 210094, China

Jiaxin Fan:Department of Protective Engineering, School of Safety Science and Engineering, Nanjing University of
Science and Technology, 200 Xiaolingwei St., Nanjing 210094, China

Hongjian Du:Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore

Yuexin Zhong:Department of Protective Engineering, School of Safety Science and Engineering, Nanjing University of
Science and Technology, 200 Xiaolingwei St., Nanjing 210094, China

Xiao Hu:Department of Protective Engineering, School of Safety Science and Engineering, Nanjing University of
Science and Technology, 200 Xiaolingwei St., Nanjing 210094, China

Abstract
The seismic performance of steel-reinforced concrete (SRC) columns subjected to reinforcement corrosion remains insufficiently quantified, particularly with respect to system-level degradation mechanisms. This study presents an experimental investigation on four SRC column specimens with corrosion levels ranging from 0% to 15%, including one uncorroded reference specimen. Accelerated electrolytic corrosion was applied to the longitudinal reinforcement and stirrups, followed by quasi-static cyclic loading tests under a constant axial load ratio of 0.8. The test results indicate that progressive corrosion leads to pronounced nonlinear degradation of seismic performance. When the average reinforcement mass loss reached approximately 15%, the peak lateral load capacity decreased by about 34%, accompanied by a substantial reduction in energy dissipation capacity. Despite severe deterioration of the reinforced concrete shell, all specimens exhibited flexure-dominated failure modes. The embedded steel section effectively preserved post-peak deformation capacity and residual stiffness, resulting in a clear decoupling between strength degradation and ductility retention.To quantitatively assess corrosion-induced capacity loss, a preliminary multi-parameter assessment framework was developed by integrating reinforcement corrosion ratio, crack length density, and average crack width using a PCA–MLR approach. Although based on a limited experimental dataset, the proposed framework demonstrates the feasibility of combining corrosion and cracking indicators for system-level seismic performance assessment of SRC columns.

Key Words
damage assessment; rebar corrosion; seismic performance; src column

Address
Juan Zhao:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Shiao Wu:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Dazhu Hu:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Jinsheng Li:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Caiyan Zhang:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Zhiping Wu:School of Urban Construction and Ecological Technology, Shanghai Institute of Technology,
Shanghai 201418, China

Abstract
The massive accumulation of phosphogypsum (PG) poses significant environmental challenges. However, the inherent brittleness and low elastic modulus of PG limit its direct application in construction field. This study proposes a reinforced concrete-encased phosphogypsum-filled GFRP tube (CPGGT). This design leverages the confinement effect of GFRP tubes to enhance the mechanical performance of the PG core, allowing it to partially replace core concrete of RC conventional columns. An experimental program was conducted to investigate the axial compressive behavior of CPGGT specimens, considering the number of longitudinal bars, GFRP tube thickness, and core diameter. Experimental results indicate that the stiffness mismatch causes a stage-wise load transfer: the RC shell governs the response initially, whereas GFRP confinement is significantly mobilized after the RC shell starts to degrade (concrete crushing and steel yielding), leading to a distinct failure mechanism. Instead of brittle failure, the CPGGT specimens exhibited significant ductility capacities. A distinct strain-hardening behavior was observed after the yield point, particularly in specimens with larger core diameters, indicating a positive size effect. The interaction between the GFRP tube and the low-modulus PG core effectively delayed the activation of full confinement, allowing the column to sustain loads through large deformations. A theoretical model was also developed to predict the stress-strain relationship and calculate the load-bearing capacity. The findings demonstrate that GFRP confinement effectively transforms the low elastic modulus of PG from a defect into a source of ductility, changing the failure process and enhancing the structural resilience of the composite columns.

Key Words
axial compression; composite column; GFRP tube; Phosphogypsum; theoretical model

Address
Shu-jie Yao:1)Research Center of Space Structures, Guizhou University, Guiyang, 550025, China
2)Guizhou Provincial Key Laboratory of Green Building and Intelligent Construction, Guizhou Province,
Guiyang, 550025, China

Zhuo-qun Liu:1)Research Center of Space Structures, Guizhou University, Guiyang, 550025, China
2)Guizhou Provincial Key Laboratory of Green Building and Intelligent Construction, Guizhou Province,
Guiyang, 550025, China

Ze-hua Wang:1)Research Center of Space Structures, Guizhou University, Guiyang, 550025, China
2)Guizhou Provincial Key Laboratory of Green Building and Intelligent Construction, Guizhou Province,
Guiyang, 550025, China

Qiang Wang:School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China

Feng Chen:School of Civil Engineering, Central South University, Changsha 410000, China

Ke-jian Ma:1)Research Center of Space Structures, Guizhou University, Guiyang, 550025, China
2)Guizhou Provincial Key Laboratory of Green Building and Intelligent Construction, Guizhou Province,
Guiyang, 550025, China

Abstract
The aim of this study is to experimentally investigate the behavior of cold formed steel (CFS) U and C profiles under axial load. Axial load tests were applied to samples with different web hole ratios (0%, 20%, 40% and 60%) under normal environment and high-temperature effects. A total of 16 CFS columns were produced in the experimental program. Another parameter of the study is different sample lengths (300 mm and 500 mm). Experimental results show that increasing the web hole ratio and sample length negatively affects the axial load carrying capacity. Due to high temperature, the decrease in elasticity modulus and yield strength limited the deformation capacity of the material and caused a decrease in the axial load carrying capacity by 34.9%. At the high temperature, the increase in stress concentration around the hole caused the deformation to be localized and the strain to decrease by 55.95% in 300 mm long samples and 85.01% in 500 mm long samples. Based on this research, it can be concluded that the formulas introduced in current design standards tend to overlook the impact of temperature and hole ratio on the performance of CFS member.

Key Words
Cold-Formed Steel (CFS); global buckling; high temperature; local buckling; web holes

Address
Furkan Kara: Civil Engineering Department, Erzurum Technical University, Erzurum, 25030, Türkiye

Barış Bayrak: Civil Engineering Department, Kafkas University, Kars, 36000, Türkiye

Mahyar Maali:
1) Civil Engineering Department, Erzurum Technical University, Erzurum, 25030, Türkiye
2) Maali Çelik Ar-Ge Danışmanlık, Müh. İnş. Taah. Tarım ve Hayvancılık Company, Atateknokent, 25030 Erzurum, Türkiye

Abstract
The initial geometric imperfections critically influence the load-bearing behavior of Q460 cold-formed thin-walled channel columns, consequently, the effects of imperfection modes and amplitudes require quantitative and systematic investigations. This study uses laser scanning technology to capture comprehensive initial geometric imperfection distributions across 16 specimens, summarizing the imperfections' morphology and amplitude laws. A finite element method is developed and validated using axial compression test data. Based on functional modeling, a simulation method for imperfections is employed to accurately determine global, distortional, local, and coupled imperfections. The imperfection sensitivity of members with varied dimensions is then analyzed using a nonlinear finite element method. The results indicate that slender members demonstrate a heightened sensitivity to global imperfections, while stubbier members show greater vulnerability to local imperfections. The reduction in load bearing capacity due to coupled imperfections typically surpasses that caused by individual imperfections. Members with smaller cross-sections and higher slenderness ratios are found to be more sensitive to initial geometric imperfections, whereas those with larger cross-sections and lower slenderness ratios are comparatively less sensitive to such imperfections. Furthermore, the recommended imperfection modes and corresponding amplitudes are summarized, and a prediction formula for the simplified imperfection reduction factor is proposed.

Key Words
initial geometric imperfections; nonlinear finite element; Q460 cold-formed thin-walled steel; sensitivity analysis

Address
Baoping Zhong:School of Fiber Engineering and Equipment Technology, Jiangnan University, Wuxi 214122, China

Ruixue Ren:School of Fiber Engineering and Equipment Technology, Jiangnan University, Wuxi 214122, China

Dengfeng Wang:School of Fiber Engineering and Equipment Technology, Jiangnan University, Wuxi 214122, China

Abstract
In the present research an optimization algorithm is introduced which builds upon the classical non directed random search by integrating quasi-Monte Carlo sampling, and its application in structural design optimization and handling constraints are discussed. The Enhanced Random Search technique preserves the robustness of conventional random search, while significantly enhancing convergence by approximating local extrema through quadratic interpolation. At each step, quasi-random samples are generated to uniformly explore the search space, while promising regions are identified using local interpolation. Additionally, a second-layer search is introduced which refines the sampling domain around the current best solution and is particularly useful for highly nonlinear functions. The performance of this algorithm is evaluated through benchmark numerical experiments and structural design of a steel spring and a spatial steel truss structure under different load cases. These designs are subjected to geometry, deflection, and stress constraints, and a penalty method for handling these constraints is discussed. The results are compared and contrasted with those of other well-established algorithms and methods, demonstrating the superiority of Enhanced Random Search and its accuracy and efficiency for design optimization of steel structures. The advantages and limitations of the proposed method are also discussed in detail.

Key Words
global optimization; quadratic interpolation; quasi-Monte Carlo simulation; random search algorithm; structural design optimization

Address
Mohammad Mahdi Javidan:Global Frontiers of Resilient EcoSmart City, Sungkyunkwan University, Suwon, Republic of Korea

Jinkoo Kim:Department of Civil and Architectural Engineering, Sungkyunkwan University, Suwon, Republic of Korea

Seunghee Park:AI plus K-Construction Resilience Research Center, Sungkyunkwan University, Suwon, Republic of Korea


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