In this chapter, we start the illustration of general procedure of FEA for linear static analysis through a step-by-step solution of a 1-D elasticity problem. We introduce the important concepts and numerical techniques that make up the finite element method as we go through the steps. Then, computer implementation of the procedure is discussed, and a MATLAB code for solving the 1-D elasticity problem is provided. By completing both the hand and computer calculations for the same problem, we demonstrate how the step-by-step solution can be automated by a computer code. The chapter then goes on to demonstrate that other types of physical problems (heat transfer and advection?diffusion transport) can be solved by using the same FEA procedure.
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