Analytical model of buried beams on a tensionless foundation subjected to differential settlement |
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| Institution: | 1. College of Civil Engineering, Fujian University of Technology, No.33 Xuefu South Road, Shangjie University Town, Fuzhou 350118, China;2. College of Civil Engineering, Fuzhou University, No.2 Xueyuan Road, Shangjie University Town, Fuzhou 350116, China;3. Key Laboratory of Underground Engineering, Fujian Province University, No.33 Xuefu South Road, Shangjie University Town, Fuzhou 350118, China;1. School of Civil Engineering, Nanyang Institude of Technology, Nanyang 473000, China;2. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;1. College of Science, China Agricultural University, Beijing 100083, China;2. College of Engineering and Computer Science, Australian National University, Canberra, ACT 2601, Australia;3. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China;1. Department of Computational Mathematics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;2. Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;3. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics), Institut Pascal, Campus de Clermont-Ferrand, 63178 Aubière, France |
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| Abstract: | As the deflection of a buried beam subjected to ground settlement is not consistent with the ground displacement, an analytical model is introduced in this study for a buried beam on a tensionless foundation subjected to differential settlement. The buried beam is divided into three segments: the left semi-infinite foundation beam, the right semi-infinite foundation beam, and the middle finite beam separated from the ground. Based on the theory of semi-infinite foundation beams, equations for the response of left and right semi-infinite segment beams are given. Explicit equations are proposed for the response of the middle segment beam; these are combined with the continuous conditions at the segment junctions, and the physical implications of the equation parameters are illustrated. The analytical approach taken in this study is then compared with, and verified against, the methods used in the existing literature. The mechanical state of a buried beam subjected to ground settlement is closely related to the foundation stiffness factor, the flexural stiffness of the beam, the characteristics of the ground settlement, and the vertical earth pressure. When the deformation coefficient is relatively large or ground settlement is relatively narrow, the buried beam may be in the partial contacting state. With an increase in the width and amplitude of ground settlement curve, the foundation stiffness factor, and the different vertical earth pressure between the ground settlement and non-settlement areas, the bending moment and shearing force of buried beams increase. |
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