Analytical model of buried beams on a tensionless foundation subjected to differential settlement

• Published in: Applied Mathematical Modelling 2020-11, Vol.87, p.269-286
• Main Authors: Zhang, Bing-qiang, Chen, Fu-quan, Wang, Qi-yun, Lin, Luo-bin
• Format: Article
• Language: English
• Subjects: Analytical method; Bending moments; Buried beam; Differential settlement; Earth pressure; Foundation settlement; Ground motion; Mathematical models; Segments; Shear forces; Stiffness; Tensionless foundation
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2020.06.004

•An analytical model was introduced for a buried beam on a tensionless foundation subjected to differential settlement.•A newly analytical solution for the governing equations of a buried beam on a tensionless foundation was proposed.•Explicit equations for the response of the whole beam were given. 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.