Bending Theory

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Title: Bending Theory

Author(s): W. C. Schnobrich

Publication: Special Publication

Volume: 110

Issue:

Appears on pages(s): 41-64

Keywords: bending; edge beams; finite element method; reinforced concrete; hyperbolic parabolic shells; shells (structural forms); structural analysis; Structural Research

Date: 11/1/1988

Abstract:
The equations for a bending theory of shallow shells are specialized to the case of the hyperbolic paraboloid shell. The nature of the analytic solutions to these equations that have been achieved for this class of shells is described. Such analytical solutions involve boundary conditions that depart significantly from those present in real shell applications. Types of numerical approximate solutions present as alternatives are noted and the details of one of these, the finite element method, are described. The importance of the dead weight of perimeter or support beams is noted, demanding a bending solution with real support conditions. Some representative solutions are included as examples.