1D Bar Under Uniform Force
Added on 20190925
1 Pages303 Words258 Views



(You may use Matlab or any other computer code, but the procedure must be given indetail in the report)Question:Consider the simplest problem of a 1D bar of uniform crosssection, as shown inFigure 1. The bar is of length 1l and section area 1A. It is subjected to a uniformbody force 1b. The young’s modulus of the material is0.1E. Obtain solutionsin terms of displacement, strain, stress and strain energy, using the following methods:1.The analytical (exact) method. 2.FEM, using two equallength linear elements. Discussion the FEM solutionwith the analytic solution, in terms of important properties. 3.CSFEM, using two equallength linear elements and cellbased smoothing(CS) domains. Discuss the CSFEM solution with the linear FEM and theanalytic solutions, in terms of important properties. 4.NSFEM, using two equallength linear elements and nodebased smoothing(NS) domains. Discuss the NSFEM solution with the linear FEM and theanalytic solutions, in terms of important properties. 5.CS/NSFEM (or FEM), using two equallength linear elements andcombined CS and NS domains. You may use a parameter to control thedomain size of NS and CS domains. Discuss the solution with the linear FEM,in terms of important properties. 6.Built a computer code and repeat the above using 25, 50, and 100 elements. 7.Discuss about the results obtained. Figure 1xb1
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