University : University of Southern Queensland UniLearnO is not sponsored or endorsed by this college or university.
Subject Code : MEC3302
Country : Australia
Assignment Task :

Task:

 

Question 1 (120/300 Marks)
A sectional impression of a pressure vessel used in a radioactive material processing plant is shown in Figure Q1. The pressure vessel needs to be installed in a rigid concrete (assume Grade 40, density 2400 kg/m3 ) cover as shown and closed with a hemispherical cover dome. A flexible leak protection seal will be placed around the concrete dome. Assume there is no clearance between the vertical walls of the vessel and the concrete enclosure walls. The vessel is resting on the bottom concrete slab as shown. The initial conditions of the vessel estimated as ambient pressure, 1 bar and ambient temperature, 22 0C.
Major design dimensions are shown and the thickness T needs to be determined by a FE Analysis. You need to refine the meshes appropriately. The vessel needs to withstand 0.45 MPa internal pressure and temperature increased up to 900C (at steady operational state). The vessel needs to be designed for 25% pressure surges and maximum stress in the vessel walls needs to be minimized as possible. You need to check your answers with appropriate manual calculations. (Assume the concrete cover adjacent to vessel’s outer vertical walls and the interface at concrete dome and the vessels top dome reach 50 0C at the steady state. Determine a suitable trial value for thickness “T “ .Use the trial value for FEA and refine it until you meet the optimal design criteria. You need to (list all your assumptions):

1. Assume a trial thickness and perform simple manual calculations for a pressure vessel i.e. hoop and axial stresses at ambient conditions. Compare your manual calculations with an axi-symmetric FEA (2D Static FEA) carried out using Creo 6.0 Simulate. Then perform an axi-symmetric FEA for static & steady state thermal conditions and combined thermal+ static analysis just for the vessel (without concrete or any constraint set (use “Inertial Free” in solver dialog box)). Show (thermal and thermal+ pressure) stress contour plot and comment about the stresses.

2. Perform an axi-symmetric FEA for static & steady state thermal conditions and combined thermal+ static analysis just for the vessel with necessary constraints (for concrete wall). You need to continue trial values of thickness “T” until you find an optimized condition according to you  judgment. A data sheet for boiler steel is provided in the study desk. However, you can find more details at http://www.steel.com.au/products/uncoated-steel/xlerplate-steel/boiler-and- pressure-vessel-grades .

3. Provide appropriate stress/strain contour plots from 2D axi-symmetric analysis as necessary to show (thermal and thermal+ pressure) necessary stress, strain plots and the temperature distributions through the thickness of vessel walls of the final design.

4. Perform an appropriate 3D FEA analysis for the final design of the vessel (Combined static & steady state thermal). Provide stress/strain /temperature contour plots as necessary to show thermal and thermal+ pressure stress, strain and the temperature distributions through the thickness of vessel walls of the final design.

5. Compare 2D and 3D FEA results of final design. What is the best analysis? Provide your reasons. Also include your suggestions for an improved design (geometry, materials of the vessel and the concrete dome) if the operational conditions cause higher stresses than yield stress of the material.

Question 2 (100/300 Marks)
Figure Q2 shows an engineer’s layout diagram of a proposed verticalstainless-steel shaft which will drive a mixer of a chemical plant. The larger end of the shaft will be coupled to a 4.5kW, 4000 rpm electrical motor through a flexible coupling and the smaller end will be coupled to the shaft of the mixer. The length of bearing surfaces can be assumed as indicated in the drawing. Bearing A and the connection at mixer do not allow axial movements. The mixer being used for a thick slurry which has varying densities and large material pieces, a 30 mm thick steel fly-wheel is attached to the shaft for smoother operation as indicated in the figure. The surface of the shaft is fully insulated by safety covers (to cover hot surface and not shown here) as indicated in the figure. The portion of largest diameter of the shaft and flywheel surfaces will be exposed to ambient air (convection coefficient of air can be taken as 50 W/m2 / 0C) at 30C .

Your task is to find the stresses/strain/temperature distribution of the shaft under the operational condition:
1. Create an appropriate FEA model on Creo Simulate 6.0. Assume and justify any missing details you required. Include the weight of the shaft and flywheel in the analysis appropriately. You need to list assumptions with your justification in the report. You need to refine the meshes appropriately.
2. Perform (i) static, (ii) thermal and (iii) static +thermal analyses. You need to select appropriate stress/strain, temperature contour plots and include in the report. If the yield strength of stainless steel is 290MPa, determine the overall safety factor of the shaft. (Note: Since the shaft is rotating at 4000rpm, you need to add centrifugal force in to your FEA model). If the stress levels under operational conditions are beyond yield strength of stainless steel, list your recommendations to reduce the stresses below yield strength.
3. Perform a vibration analysis for the shaft without support (fre-free) and with the supports. Show results of first 6 natural frequencies and mode shapes of the shaft.
4. Determine the highest safe rotational speed of the motor considering the vibration characteristic of the shaft and the possible yielding of the pulley.
5. Manually check the ?19 mm shaft for possible buckling under operational loads using Euler buckling criteria.

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