Finite Element Formulation for an Arch Structure Formed By Using Built-Up Beams Element

Abstract eng:
In architecture of building history, the arch type of structures, especially made from timber elements, are aesthetically very attracting creation. Since the primitive era, human being has learned how to build the arch type of structures that have been used as roofs or beams for houses or bridges structures. They have learned from failures and experiences how to stack and connect pieces of timbers in order to assemble a large span arch type of structure. Present study reports the theoretical derivation and finite element formulation for an arch structure formed by using built-up beams elements. Static experimental works were conducted to an arch structure formed by using built-up beams elements. The behavior of the arch structure formed by using built-up beams elements are evaluated numerically by means of the finite element method. An analytical formulation is proposed to transform beam elements which can be commonly connected at both beam ends or can be intermittently built-up together as an element member. The formulation was derived based on the assumed stress distribution, shear deformation and expansion-contraction of the beam cross section within the context of linear elasticity theory.

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