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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Article
Finite Element Analysis of Polygon Shaped Shell Roof
Author(s)
Attia Mousa1 and Hesham El Naggar2
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DOI:10.17265/1934-7359/2017.05.002
Affiliation(s)
1. Professor of Civil Engineering, University of Bahrain, Manama, Kingdom of Bahrain;
2. Professor of Civil Engineering, , Western University, London, Ontario, N6A 5B9, Canada
ABSTRACT
A new spherical triangular
finite element based on shallow shell formulation is developed in this paper.
The element has six degrees of freedom at each corner node, five of which are
the essential external degrees of freedom and the additional sixth is
associated with the in-plane shell rotation. The displacement fields of the
element satisfy the exact requirement of rigid body modes of motion. The
element is based on independent strain assumption insofar as it is allowed by
the compatibility equations. The element developed herein is first validated by
applying it to the analysis of a benchmark problem involving a standard
spherical shell with simply supported edges. The results of the analysis showed
that reasonably accurate results were obtained even when modeling the shells
using fewer elements compared to other shell element types. The element is then
used in a finite element model to analyze polygon shaped spherical roof
structures. The distribution of the various components of deflection and stress
is obtained. Furthermore, the effect of introducing circular arched beams as
stiffeners spanning the two diagonally opposite end corners is investigated. It
is found that the stiffeners reduced the deflections and the stresses in the
roof structure by considerable value.
KEYWORDS
Finite element, shell roof, polygon shape.
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