Abstract
A finite element procedure is presented for solving thin shell problems of arbitrary geometry and boundary conditions. The actual smoothly curved shell surface is approximated by the assemblage of flat triangular plate elements. A quadratic displacement function for the tangential displacements in the triangular element is assumed and the membrane stiffness is derived accordingly. A complete fourth order displacement function is used to derive the flexural stiffness of the triangular element. These higher order displacement functions, resulting in 27 generalized displacements, are used for the purpose of obtaining a more accurate solution to the stress conditions especially in the regions near supporting edge members for various doubly curved shells. The paper includes shells which are supported by edge beams or is stiffened by ribs. A beam type member is idealized as an assemblage of segments of straight beam elements. The twisting and axial stiffnesses, the eccentricity and the bending stiffness of the beam element are all considered.
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