B2. A stepped rod is loaded as shown in Figure 2. The detailed specification of geometry, material and boundary conditio

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B2 A Stepped Rod Is Loaded As Shown In Figure 2 The Detailed Specification Of Geometry Material And Boundary Conditio 1 (75.81 KiB) Viewed 37 times

B2. A stepped rod is loaded as shown in Figure 2. The detailed specification of geometry, material and boundary conditions (in consistent units ) is also included in the figure. Using ONE two-node linear Truss finite element for each section of the rod, calculate: (a) the global/system stiffness matrix and the load vector, and hence [10 marks] (b) the nodal displacement vector. [3 marks] (c) If the exact value of displacement at any generic position x in section (1) is given by 1 x u(x) -15x² +2.45x10x E 46 evaluate the error in the finite element result of displacement at mid- point of section (1) + [7 marks] (d) Identify two prime sources of this error you have found in (C) above and make appropriate suggestions to reduce this error if the number of elements in the model is not to change. [5 marks] Total [25 marks] ts(x) = (30 - x length [1] [2] E, = Ez = 30x10%, P = 2x109 A1 = 4, A2 = 2, L, L2 = 30 -Lr L2 Figure 2