Finite Element Analysis of Hyperbolic Paraboloid Groined Vault ‎Structure

Finite Element Analysis of Hyperbolic Paraboloid Groined Vault ‎Structure

Attia Mousa

attiamousa@hotmail.com

Department of Civil Engineering, Faculty of Engineering, Islamic ‎University, Gaza, Palestine‎

Received : 07-11-2004 , Accepted : 23-05-2006

Language: English

Abstract

A new hyperbolic parabolic triangular finite element is developed in this paper. The element has only five essential nodal degrees of freedom (three general external degrees of freedom and two rotations) at each of the three corner nodes. The displacement fields of the element satisfy the exact requirements of rigid body modes of motion. Shallow shell formulation is used and the element is based on an independent strain assumption insofar as it is allowed by the compatibility equations. A hyperbolic Paraboloid shell dam for which a previous solution exists is first analyzed using this new element to validate the program and to compute the results. The element is then used in the analysis of a complex type of hyperbolic Paraboloid shell roof, which normally referred to as hyperbolic Paraboloid groined vault. It is usually made up of a combination of four of intersecting hyper Paraboloids joined together to form a square shape in plan view. This form of structure is often used by architects to roof large span exhibition halls and public buildings. The distribution of various components of forces is obtained to give designers an in–sight of the behavior of such complex structures.

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