A Tilt of a Surface Rigid Circular Foundation Due to an Inclined Buried Point Load in a Transversely Isotropic Half-Space

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چرخش پی صلب دایره ای سطحی تحت اثر نیروی مایل مدفون در نیم فضای ایزوتروپ جانبی

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Type of Document: M.Sc. Thesis
Language: English
Document No: 43798 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammadi Shodja, Hossein; Eskandari, Morteza
Abstract:
The following dissertation examines the interaction between the free surface of a homogenous transversely isotropic half-space and a rigid circular foundation. The whole system is under a vertical and an inclined point loads applied simultaneously on the foundation and at the speciﬁed depth of the medium, respectively. Determination of the Green’s functions for the proposed mixed boundary value problem is of interest. By employment of the boundary conditions, the governing equations are represented in terms of a dual integral equation which are subsequently solved analytically. Furthermore, the exact closed-form expressions of the tilt (rotation and settlement) of the loaded rigid foundation are obtained. For veriﬁcation, the available solution pertinent to the isotropic medium is deduced as a special case of the present treatment. The results corresponding to different types of transversely isotropic media are examined and compared
Keywords:
Integral Equation ; Transversely Isotropic ; Mixed Boundary Value Problem ; Half Spaces ; Circular Foundaction ; Soil-Foundation Interaction