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DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR CIVIL ENGINEERING
Edited by: B.H.V. Topping
The Finite Element Method and Classical Structural Analysis: Demonstrating the Links
Department of Civil Engineering, University of Brighton, Brighton, UK
J.P.F. O'Connor, "The Finite Element Method and Classical Structural Analysis: Demonstrating the Links", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Civil Engineering", Civil-Comp Press, Edinburgh, UK, pp 73-82, 1995. doi:10.4203/ccp.32.4.1
This paper describes a simple method of demonstrating the links between the basic principles of equilibrium used in classical structural analysis and the finite element method for students taking a first course in finite element analysis or mature engineers whose experience has been in conventional structural design.
Four examples are presented, in order of increasing complexity; a beam with simply supported and fixed ended conditions, a tunnel lining, a gravity dam profile, an arch dam.
The basis of the demonstration is on the equilibrium of the stress resultants with the moments and forces caused by the applied loads on the free body.
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