Graduate Thesis Or Dissertation
 

Finite elements analysis of circular cell bulkheads

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  • A mathematical model is developed for the analysis of circular cell bulkheads subjected to gravity loads of cell fill, backfill, lateral pressure, and surcharge load using the finite element method. The finite element circular cell model consists of axisymmetric triangular and/or quadrilateral ring elements for soil and cylindrical shell elements for the steel cell. To formulate and derive the governing equations for such elements, the Ritz displacement functions and the theorem of minimum potential energy are used. The loadings of the bulkhead system and corresponding displacements are expanded in Fourier series. The soil fill and foundation are assumed to be elastic, isotropic and non-homogeneous materials. It is assumed that there is no slippage in the soil-steel shell interface. The element matrices and the Fourier harmonic analysis are verified by comparing results for several structures for which classical solutions are available. The circular cell bulkhead is analyzed for stresses in the soil elements and shell elements and deformations for the isolated filled cell and backfilled cell cases. Results of the study are presented, discussed and compared with field measurement data obtained by other investigators.
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