Abstract
Abstract : The finite element method is applied to the problem of the static stress analysis of shallow shells under a wide variety of boundary conditions, including elastic edge stiffening. The shallow shell theory is recast in terms of oblique coordinates to facilitate the analysis of shells which are parallelogram-shaped in planform. Curved elements are employed in the application of the finite element method so that geometrical idealizations may be eliminated, and stiffness matrices based on two different displacement assumptions are derived. Comparisons, showing good agreement, are made with exact and other numerical solutions for several shallow shells. Numerical results are also presented showing the effects of skewedness, edge beam eccentricity, and a tie rod connecting the low corners on the behavior of a hyperbolic parabolid bounded by characteristics. (Author)
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