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Present your work with appropriate figure, plots and description as required in profession report. Problem 1 (50 points) The pressure vessel shown below is made of steel, A36 and is subjected to an internal pressure of 20 MPa. The dimensions of the vessel are end radius 300 mm (inner) and cylindrical length 500 mm. (0) Find the thickness of the vessel (assume thin wall cylinder). Assume a factor of safety 2. Do FEA for a half quarter model with proper boundary conditions. (iii) Compare the FEA results with analytical results Determine the maximum normal stress that following loading produces. 0.25 in. 300 lb. 300 lb. 2.0 in. 0.75 in. Material: 6061-T6 aluminum alloy plate Length (assumed): 10 in Left side can be assume fixed. (a) Do a full model FE analysis for the maximum normal stress (b) Do a quarter FE analysis for the maximum normal stress (c) Do mesh convergence check for the quarter model (d) Compare FE results with analytical results using stress concentration (see DOM book)