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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 4/5
Edited by: B.H.V. Topping
Paper XIV.2

An Exact Finite Element Technique for Layered Beams

M. Heinisuo

Department of Civil Engineering, Tampere University of Technology, Tampere, Finland

Full Bibliographic Reference for this paper
M. Heinisuo, "An Exact Finite Element Technique for Layered Beams", in B.H.V. Topping, (Editor), "Proceedings of the Third International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 49-55, 1987. doi:10.4203/ccp.4.14.2
An exact finite element technique for layered beams is described in the paper. The method is exact, because the solutions of the governing differential equations are used as the shape functions when deriving the stiffness matrices for the beam. The theory is valid for uniform, straight, linearly elastic beams with two faces and one core or with three symmetric faces and two identical cores. The loadings can be the lateral, axial, thermal and moisture loading cases in the static case and the periodical lateral dynamic loading.

The benefict of the method is obvious: minimum amount of finite elements are needed in the solution procedure. This makes the use of micro-computers possible when solving the statics or dynamics of layered beams. However, the elements are easy to incorporate in plane-frame FEM-programs which are used for analysis of structures in CAD-systems.

The theory is described briefly, and the main purpose of the paper is to describe the use and the possibilities of the method developed. Some new exact results are presented concerning the effect of axial loading in shear walls and the effect of finite support widths in Sandwich beams. One dynamic case is also presented.

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