1D Bar Under Uniform Force
Added on 2019-09-25
1 Pages303 Words258 Views
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(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 cross-section, 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 equal-length linear elements. Discussion the FEM solutionwith the analytic solution, in terms of important properties. 3.CS-FEM, using two equal-length linear elements and cell-based smoothing(CS) domains. Discuss the CS-FEM solution with the linear FEM and theanalytic solutions, in terms of important properties. 4.NS-FEM, using two equal-length linear elements and node-based smoothing(NS) domains. Discuss the NS-FEM solution with the linear FEM and theanalytic solutions, in terms of important properties. 5.CS/NS-FEM (or FEM), using two equal-length 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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