# Force Calculation of Mechanical Model of Pile-anchored Support Structure Based on Elastic Foundation Beam Method

## Authors

• Han Lingjie School of Civil Engineering and Architectural, Zhengzhou University of Science and Technology, Zhengzhou 450052, China
• Zhang Shihao Railway Engineering College, Zhengzhou Railway Vocational & Technical College, Zhengzhou 451460, China
• Tang Huarui Railway Engineering College, Zhengzhou Railway Vocational & Technical College, Zhengzhou 451460, China

## Keywords:

Mechanical model, force calculation, elastic foundation beam, pile-anchor support, deep foundation pit

## Abstract

With the widespread use of deep foundation pit engineering in engineering construction, the force calculation problem about deep foundation pit support engineering has become a common problem in today’s engineering construction process. In this paper, based on the elastic foundation beam method, a simplified mechanical model of pile-anchored structure is proposed, and a systematic and practical calculation method is proposed for the force and deformation calculation of deep foundation pit support structure. The method simplifies the support structure as a vertically placed elastic foundation beam, the support, anchor and geotechnical body are replaced by a spring system, the spring stiffness of geotechnical soil can be calculated by the deformation modulus of geotechnical soil, and a systematic calculation method is proposed for the dynamic characteristics of the construction and structure of the foundation pit project; Based on the monitoring data of a deep foundation pit project, the calculation method of the simplified mechanical model proposed in this paper is verified, and the theoretical calculation value is compared with the field monitoring results; Single factor analysis is carried out on the detailed parameters of pile-anchor supporting structure to study the influence of cable prestress, cable dip Angle, pile diameter, pile length and other related parameters on the deformation and stress characteristics of supporting structure. Then the orthogonal combination of all factors is carried out to propose the optimization design. The results show that the maximum settlement deformation of the calculated value is 23.437 mm, and the maximum settlement deformation of the monitored value is 26.517 mm, and the difference between them is small. The maximum bending moment is 1210 kN⋅m after 150 kN and 250 kN horizontal prestressing is added to the second- and third-layer anchors respectively. After optimization, the maximum bending moment of pile row is 336.87 kN⋅m, and the maximum horizontal displacement of pile body is 16.505 mm, which is reduced by 11.97% compared with the original design.

## Author Biographies

### Han Lingjie, School of Civil Engineering and Architectural, Zhengzhou University of Science and Technology, Zhengzhou 450052, China

Han Lingjie received the master’s degree from Changsha University of Science & Technology in 2013. He is currently working as an associate professor of Zhengzhou University of Science and Technology. His main research fields and directions include subgrade and pavement design and BIM technology application.

### Zhang Shihao, Railway Engineering College, Zhengzhou Railway Vocational & Technical College, Zhengzhou 451460, China

Zhang Shihao obtained a bachelor’s degree in engineering from Liaoning University of Science and Technology in 2016, and a Master of Engineering degree in engineering from Chang’an University in 2019, currently works as an assistant teacher in the Railway Engineering School of Zhengzhou Railway Vocational and Technical College. His research fields and directions include subgrade and pavement, road disaster prediction and treatment, and new materials for construction engineering.

### Tang Huarui, Railway Engineering College, Zhengzhou Railway Vocational & Technical College, Zhengzhou 451460, China

Tang Huarui received the bachelor’s degree from Wuhan University of Technology in 2006, the master’s degree in engineering from Zhengzhou University. She is currently working as an associate professor of Zhengzhou Railway Vocational and Technical College. Her main research fields and directions include subgrade and pavement design and BIM technology application.

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2023-07-11

## How to Cite

Lingjie, H. ., Shihao, Z. ., & Huarui, T. . (2023). Force Calculation of Mechanical Model of Pile-anchored Support Structure Based on Elastic Foundation Beam Method. European Journal of Computational Mechanics, 32(02), 183–210. https://doi.org/10.13052/ejcm2642-2085.3224

## Section

Data-Driven Modeling and Simulation – Theory, Methods & Applications